/7*l**2 + 0 + 6/7*l = 0.
-3, 0
Let v(a) = 15*a**3 - 35*a**2 + 9*a + 5. Let g(m) = 16*m**3 - 36*m**2 + 8*m + 4. Let y(k) = -3*g(k) + 4*v(k). Factor y(z).
4*(z - 2)*(z - 1)*(3*z + 1)
Let a = 9 + -7. Factor -4*m**5 - 2*m**3 - 2*m**a + 2*m**4 + 4*m**3 + 2*m**5.
-2*m**2*(m - 1)**2*(m + 1)
Let c(y) be the third derivative of 1/6*y**6 - 5*y**2 + 0 - 4/5*y**5 + 0*y + 3/2*y**4 - 4/3*y**3. Determine o so that c(o) = 0.
2/5, 1
Factor -3/4*z**2 + 0*z + 0 + 3/2*z**3 - 3/4*z**4.
-3*z**2*(z - 1)**2/4
Let s be ((-12)/9)/((-2)/15). Let w be 3/s*4/3. Suppose -2/5*q**5 + 6/5*q**3 - 4/5*q + 2/5*q**4 - w*q**2 + 0 = 0. What is q?
-1, 0, 1, 2
Let j = 25 - 22. Let t(v) be the first derivative of 3/10*v**5 - 1/2*v**3 - 3/8*v**4 + 0*v + 3/4*v**2 - j. Let t(x) = 0. What is x?
-1, 0, 1
Let x(c) be the first derivative of -c**5/20 - 3*c**4/16 - c**3/4 - c**2/8 - 9. Find w such that x(w) = 0.
-1, 0
Suppose 0*i + 4*i = 8. Let q(o) be the second derivative of -1/9*o**4 + 1/3*o**i + 0 - 1/9*o**3 - 4*o. Find f, given that q(f) = 0.
-1, 1/2
Factor -16/7*z + 2/7*z**2 + 32/7.
2*(z - 4)**2/7
Let r(k) be the first derivative of 3/2*k**4 + k**2 + 2*k**3 + 2/5*k**5 - 3 + 0*k. Factor r(i).
2*i*(i + 1)**3
Let p = 11 - 19. Let l = p - -12. What is q in -l*q**3 + 2*q**2 + 4 - 3*q**4 - 2*q + 6*q - 3 = 0?
-1, -1/3, 1
Let k(t) = t**2. Suppose 7*c - 11*c = 8. Let p(f) = 0*f**3 + 4*f - f**3 + 2 - 3*f - f**2. Let w(v) = c*p(v) + 2*k(v). Factor w(i).
2*(i - 1)*(i + 1)*(i + 2)
Let y(w) be the third derivative of w**8/100800 + w**7/25200 - w**5/20 + w**2. Let p(q) be the third derivative of y(q). Factor p(h).
h*(h + 1)/5
Let i = -19 + 14. Let r be (i/(-20))/(3/88). Find z such that 20*z**3 - 50/3*z**4 - 8/3 - 8*z + r*z**2 = 0.
-2/5, 1
Let z(o) = -7*o**5 - 8*o**4 - 15*o**3 - 9*o**2 + 5*o - 5. Let t(l) = -4*l**5 - 4*l**4 - 8*l**3 - 5*l**2 + 3*l - 3. Let b(g) = 5*t(g) - 3*z(g). Solve b(y) = 0.
-2, -1, 0
Let t(o) = -o**4 - o**3 - 4*o**2 + 2*o. Let p(u) = -u**4 - u**3 - u**2 + u. Let j(b) = -10*p(b) + 5*t(b). Find z such that j(z) = 0.
-2, 0, 1
Let p(g) = -2*g**5 - 2*g**4 + 3*g**2 + 1. Let m(k) = 9*k**5 - 8*k**5 - k**2 + 0*k**5 - 1 + k. Let h = -3 - -1. Let s(x) = h*m(x) - 2*p(x). Factor s(f).
2*f*(f - 1)*(f + 1)**3
Factor 0*g**3 + 2/5*g**4 + 0 - 6/5*g**2 - 4/5*g.
2*g*(g - 2)*(g + 1)**2/5
Suppose -112 = 2*t - 9*t. Let m = t - 11. What is x in -3/5*x**m + 0*x**2 + 0*x + 0*x**4 + 0 + 3/5*x**3 = 0?
-1, 0, 1
Let w(r) = -r**4 + r. Let a(y) = -5*y**4 + 14*y**3 + 6*y**2 - 19*y + 4. Let h(z) = -a(z) - 5*w(z). Factor h(g).
2*(g - 1)**2*(g + 1)*(5*g - 2)
Let c be (27/63)/((-30)/(-14)). Let o = -26 + 131/5. Find h, given that 0*h + o - c*h**2 = 0.
-1, 1
Determine x so that -1596*x**4 - 3*x**2 + x**3 - 4*x**3 + 1599*x**4 + 3*x**5 = 0.
-1, 0, 1
Let r be 0 + -3 - (-3 - -3). Let j be ((-2)/r)/((-7)/(-21)). Solve -p**3 + j*p**4 + p + 0*p**3 - p**2 - p**4 = 0.
-1, 0, 1
Let h(y) be the first derivative of 0*y - 2*y**2 - y**4 + 8/3*y**3 + 8. Factor h(x).
-4*x*(x - 1)**2
Let l be 2/(-3) + 402/9. Let q be 2/(l/8 - 1). Find p, given that 2/3*p + 2/9*p**2 + q = 0.
-2, -1
Let o(p) be the second derivative of 0*p**2 - 1/45*p**3 + 6*p + 0 - 1/45*p**4 - 1/150*p**5. Factor o(q).
-2*q*(q + 1)**2/15
Factor 12/13 - 2/13*z - 2/13*z**2.
-2*(z - 2)*(z + 3)/13
Let b(w) = -15*w**2 - 15*w + 11. Let v be (1*-1)/((-6)/(-54)). Let r be (-67)/(-3) + 3/v. Let y(u) = -4*u**2 - 4*u + 3. Let p(a) = r*y(a) - 6*b(a). Factor p(s).
2*s*(s + 1)
Suppose -5*y - 2 = s + 2*s, y = -4*s - 14. Let l(b) = -b**2 - 4*b + 3. Let w be l(s). Let 2/3*q**2 + 2/3*q**w + 0*q + 0 = 0. What is q?
-1, 0
Let i(q) = -3*q**2 + 4*q + 11. Let y be i(5). Let b be 56/y + 10/5. Find t, given that -b*t**2 - 2/11*t**4 - 8/11*t**3 + 0 + 0*t = 0.
-2, 0
Let f be -1*(-3)/(-72)*(-3)/9. Let h(z) be the third derivative of 0*z**3 + 1/630*z**7 - 1/360*z**6 - 3*z**2 + f*z**4 + 0 + 0*z - 1/180*z**5. Factor h(d).
d*(d - 1)**2*(d + 1)/3
Let g be (18/20)/((-12)/(-10)). Let m(s) be the first derivative of 1/4*s - 3/4*s**2 - 1/4*s**4 - 1 + g*s**3. Factor m(v).
-(v - 1)**2*(4*v - 1)/4
Let h(m) be the third derivative of m**6/600 - m**5/60 + 7*m**4/120 - m**3/10 + 32*m**2. Find f such that h(f) = 0.
1, 3
Let j be 2/3 - 20/(-6). Suppose -2 = -3*i + j. Find u, given that 0*u**3 + 1/2 + 1/2*u**4 + 0*u - u**i = 0.
-1, 1
Let l(i) be the second derivative of -i**6/15 - 3*i**5/10 + 4*i**3/3 - 9*i. Factor l(t).
-2*t*(t - 1)*(t + 2)**2
Let k be ((-6)/(-4))/(1/2). Solve 2*s**2 + s - 3*s**k - s + 5*s**3 = 0 for s.
-1, 0
Let z(q) be the second derivative of -q**4/6 + 7*q**3/12 - 3*q**2/4 + 23*q. Suppose z(k) = 0. What is k?
3/4, 1
Let r = -29 - -31. Solve 4/3 - 14/3*p**r + 10/3*p = 0 for p.
-2/7, 1
Let c = -30 + 37. Let v(u) = -5*u**3 - 5*u**2 - 3*u + 3. Let x(a) = -10*a + 7 - 11*a**2 - 11*a**3 + a + 2*a. Let d(p) = c*v(p) - 3*x(p). Factor d(f).
-2*f**2*(f + 1)
Suppose -10 = -5*k + 5*w, w + 10 = 4*k - 4*w. Solve 2/3*u**2 + 26/9*u**3 + k + 8/9*u**4 + 0*u = 0.
-3, -1/4, 0
Let s = -56 - -56. Let a(f) be the third derivative of 0 - 1/72*f**4 + 0*f**3 + 4*f**2 + 1/180*f**5 + s*f. Factor a(t).
t*(t - 1)/3
Determine f so that 1/3*f**2 - 1/3*f - 2/3 = 0.
-1, 2
Let p = 231 + -226. Let j(r) be the second derivative of -r**2 + 1/3*r**4 - 1/15*r**6 - r + 0 - 1/6*r**3 - 1/42*r**7 + 1/10*r**p. Solve j(k) = 0 for k.
-2, -1, 1
Determine b so that 2/9*b**4 + 4/3*b**2 + 2/9 + 8/9*b**3 + 8/9*b = 0.
-1
Let h be (1/10)/((-2)/4)*-10. Factor -2/5*u**h + 4/5*u - 2/5.
-2*(u - 1)**2/5
Let q = -1099 + 115396/105. Let v(z) be the second derivative of 0 - 1/42*z**4 - 1/70*z**5 + 0*z**3 - z + q*z**6 + 1/147*z**7 + 0*z**2. Factor v(n).
2*n**2*(n - 1)*(n + 1)**2/7
Let n be ((-2)/2 - -1)*1. Suppose 5 = 2*a + 4*i - 13, 4*a = 3*i + 3. What is l in l**3 + l**3 + n*l**a - 2*l**5 = 0?
-1, 0, 1
Let x(c) be the second derivative of -c**6/30 + c**5/10 + c**4/4 - 4*c**3/3 + 2*c**2 - 30*c. Factor x(n).
-(n - 2)*(n - 1)**2*(n + 2)
Let k be -7 - -13 - (4 + 4 - 2). Determine h so that k*h**3 + 0 + 0*h**2 - 1/3*h**5 + 0*h - 1/3*h**4 = 0.
-1, 0
Let n(g) be the third derivative of -g**8/168 - 2*g**7/105 + g**5/15 + g**4/12 - 3*g**2. Suppose n(v) = 0. Calculate v.
-1, 0, 1
Let h(k) be the third derivative of -k**5/140 - k**4/28 + 3*k**3/14 + k**2 - 20. Suppose h(i) = 0. What is i?
-3, 1
Let r = -11 - -11. Let -1 - 1 + 6 + r*a**2 - 4*a**2 = 0. What is a?
-1, 1
Let 6*u**3 - 102*u**5 + 5*u**2 - u**2 + 100*u**5 = 0. What is u?
-1, 0, 2
Let z(c) be the second derivative of c**8/6720 - c**7/2520 + c**4/3 + 6*c. Let a(j) be the third derivative of z(j). Determine d, given that a(d) = 0.
0, 1
Let z(s) = 14*s**5 - 12*s**3 + 8*s**2 + 14*s - 8. Let t(x) = 3*x + 2*x + 7*x**5 - 2*x**5 - 4*x**3 + 3*x**2 - 3. Let v(w) = 8*t(w) - 3*z(w). Factor v(j).
-2*j*(j - 1)**2*(j + 1)**2
Let d(m) = 3*m**4 + 12*m**3 + 15*m**2 - 18*m - 6. Let r(k) = -8*k**4 - 35*k**3 - 44*k**2 + 53*k + 19. Let v(n) = 17*d(n) + 6*r(n). What is x in v(x) = 0?
-1, 2
Let l(x) be the first derivative of 1/54*x**4 + 0*x - 2 + 1/270*x**5 + 1/27*x**3 - x**2. Let z(t) be the second derivative of l(t). Solve z(c) = 0.
-1
Let m be 1/(0 + 3/6)*1. What is v in 3*v**3 + 1/2*v**5 + 1/2*v + 0 - m*v**4 - 2*v**2 = 0?
0, 1
Let d be (-78)/(-36) + (-2)/12. Factor 0*k**2 + 5*k + k - 3*k**d + 0*k**3 - 3*k**3.
-3*k*(k - 1)*(k + 2)
Let q be 95/220 + (-18)/99. Determine b so that q*b + 0 + 0*b**2 - 1/4*b**3 = 0.
-1, 0, 1
Suppose 5*g + b - 61 = 0, 5*b = 6*g - 3*g - 31. Suppose 5*t - 2*c = g - 2, 3*t - c - 5 = 0. Solve 0 - 1/3*f + 1/3*f**3 + t*f**2 = 0.
-1, 0, 1
Suppose 0 = 3*k - 0*j - 4*j - 41, 0 = 3*j + 15. Solve z**3 - k*z**3 + 12*z**2 + 3*z + 5*z - 12*z**4 - 4*z**5 + 2*z**3 = 0.
-2, -1, 0, 1
Let q(g) = 19*g**2 - 8 - 23*g**2 + 3*g - 4. Let l(o) = -11*o**2 + 10*o - 35. Let m(t) = -3*l(t) + 8*q(t). Factor m(r).
(r - 3)**2
Let c = -145/504 + 19/63. Let h(t) be the third derivative of -t**2 - c*t**4 - 1/180*t**5 + 0*t**3 + 1/360*t**6 + 0*t + 1/630*t**7 + 0. Factor h(o).
o*(o - 1)*(o + 1)**2/3
Suppose q = -110 + 346. Factor 1188*t**2 + 192 - q*t + 1099*t - 47*t + 310*t**3 + 419*t**3 + 162*t**4.
3*(2*t + 1)*(3*t + 4)**3
Suppose -i + 42 = 6*i. Let l(p) be the second derivative of 0*p**2 + 0 - p - 1/126*p**7 + 0*p**4 + 1/30*p**5 + 0*p**i - 1/18*p**3. Factor l(h).
-h*(h - 1)**2*(h + 1)**2/3
Let b(n) be the third derivative of -n**