 4*l**3 - 6*l**2 - 5*l + 5. Let k = -2 - 2. Let f(r) = k*u(r) - 5*d(r). Let f(s) = 0. Calculate s.
-1, 0
Let o = -264 + 794/3. Find h, given that 0 + 1/3*h**4 - o*h**3 + 0*h + 1/3*h**2 = 0.
0, 1
Let y(d) be the first derivative of -d**8/5880 - d**7/980 - d**6/420 - d**5/420 + 2*d**3 + 5. Let s(l) be the third derivative of y(l). Factor s(z).
-2*z*(z + 1)**3/7
Find y such that -3/7*y**3 + 6/7 + 3/7*y**4 - 9/7*y**2 + 3/7*y = 0.
-1, 1, 2
Let w(u) = u**4 + u**2 + u. Let x(m) = 26*m**4 + 65*m**3 + 61*m**2 + 16*m. Let p(o) = 6*w(o) - x(o). Determine s so that p(s) = 0.
-2, -1, -1/4, 0
Let z(k) be the third derivative of -k**7/280 - 3*k**6/40 - 27*k**5/40 - 27*k**4/8 + 2*k**3/3 - 4*k**2. Let m(p) be the first derivative of z(p). Factor m(g).
-3*(g + 3)**3
Let f(g) = g**2 + 3*g + 4. Let i be f(-3). Suppose 0 = q - 1, -4*q + q = 5*j - 13. Determine m so that -2*m**2 + i*m**j + m + m = 0.
-1, 0
Let z be 0 - -1 - 2/3. Let 2/3 - l + z*l**2 = 0. What is l?
1, 2
Suppose 14 = 4*r + 2. What is h in -20*h**2 + 10*h + r*h + 9*h**3 + 0 - 2 = 0?
2/9, 1
Suppose r + 2*v - 14 = -4, 5*r - v - 6 = 0. Let u(s) be the second derivative of -1/30*s**4 + 0*s**2 + r*s + 0 + 2/25*s**5 - 4/75*s**6 + 0*s**3. Factor u(m).
-2*m**2*(2*m - 1)**2/5
Let o(k) = k**3 + k**2 + k - 1. Let h(t) = -5*t**3 - 6*t**2 - 7*t + 6. Suppose -g + 3*g + 12 = 0. Let s(l) = g*o(l) - h(l). Factor s(w).
-w*(w - 1)*(w + 1)
Let p(m) be the third derivative of -3/80*m**5 - 1/24*m**3 + 2*m**2 + 1/16*m**4 + 0*m + 0. Factor p(a).
-(3*a - 1)**2/4
Let o = 45 + -39. Let r(l) be the second derivative of -1/15*l**o + 0*l**2 + 3*l - 4/25*l**5 + 0*l**3 - 2/15*l**4 + 0 - 1/105*l**7. Suppose r(w) = 0. What is w?
-2, -1, 0
Let w(l) be the third derivative of 4*l**7/315 + 2*l**6/45 + l**5/20 + l**4/36 + 2*l**3/3 - 3*l**2. Let u(n) be the first derivative of w(n). Factor u(c).
2*(c + 1)*(4*c + 1)**2/3
Let r be ((-1)/(-3))/(4 - 30/9). Let s = 6 + -4. Factor -r*o**3 + 0 + o**s + 0*o.
-o**2*(o - 2)/2
Let a(t) = -17*t**3 + 5*t**2 + 9*t - 13. Let d(p) = p**2 + 4*p**3 + 2*p - 2 - 8*p**3 - 1. Let u(m) = -6*a(m) + 26*d(m). What is r in u(r) = 0?
-1, 0
Let g = -12 + 12. Let d(x) be the second derivative of g*x**3 + 4*x**2 + 1/10*x**5 + 0 - x - 1/2*x**4. Factor d(v).
2*(v - 2)**2*(v + 1)
Suppose 4*u = 20 + 12. Suppose u*f = 3*f. Solve -1/2*b - 3/2*b**2 + f - 3/2*b**3 - 1/2*b**4 = 0.
-1, 0
Determine n so that 0*n**2 - 1/2*n**3 + 0 - 5/4*n**4 + 7/4*n**5 + 0*n = 0.
-2/7, 0, 1
Factor 5/6*c**3 + 7/6*c**2 + 1/6*c**4 + 0 + 1/2*c.
c*(c + 1)**2*(c + 3)/6
Suppose 4*s = -2*z - 34, 38 = -4*z - 2*s - 6. Let d(u) = -7*u**2 - 9*u + 7. Let k(y) = -3*y**2 - 4*y + 3. Let j(f) = z*k(f) + 4*d(f). Factor j(q).
-(q - 1)*(q + 1)
Let m(k) be the third derivative of -1/40*k**4 + 0*k**3 + 0*k - 1/300*k**5 + 0 + 7*k**2. Let m(u) = 0. Calculate u.
-3, 0
Suppose -3*y = -7*y + 8. Let q(h) be the third derivative of 0*h + 0*h**4 + 0 + 0*h**3 + 0*h**5 - h**y + 1/105*h**7 - 1/60*h**6. Find a, given that q(a) = 0.
0, 1
Factor 5/4*o**2 + 5/4 - 5/2*o.
5*(o - 1)**2/4
Let s be 10/(-85) - 265/85*-1. Let i = -21/5 + 23/5. Factor -4/5*d**2 + 4/5*d**4 + 2/5*d + 0*d**s + 0 - i*d**5.
-2*d*(d - 1)**3*(d + 1)/5
Let 6*x - x**2 + x + 3*x - 8*x + 3 = 0. Calculate x.
-1, 3
Suppose -3*g + 6 = -2*q, 0*g + 4*q = 3*g - 6. Factor -14*k**4 - k**4 - 2*k**g + 24*k**3 - 6*k - k**2.
-3*k*(k - 1)**2*(5*k + 2)
Solve 3*g**2 - 4*g**2 - g**2 + 4*g = 0 for g.
0, 2
Factor 10*g + 12*g - g**3 + 2*g**2 - 22*g.
-g**2*(g - 2)
Let s(a) = a**2 + 24*a + 6. Let b(k) = -4*k - 1. Let g(h) = 34*b(h) + 6*s(h). Let w(l) = 9*l**2 + 12*l + 3. Let q(v) = -7*g(v) + 5*w(v). Solve q(p) = 0 for p.
-1, -1/3
Factor 1/2*w**2 + 9/4*w - 5/4.
(w + 5)*(2*w - 1)/4
Let l = -68/5 - -214/15. Factor -2/3 + o - l*o**3 + o**2.
-(o - 2)*(o + 1)*(2*o - 1)/3
Let o(b) = b**3 + 5*b**2 + 2. Let u be o(-5). Factor -2*n**u + 5*n + 8*n**2 - n.
2*n*(3*n + 2)
Let g(a) be the first derivative of -49*a**6/2 - 378*a**5/5 - 327*a**4/4 - 36*a**3 - 6*a**2 + 9. Solve g(s) = 0 for s.
-1, -2/7, 0
Let v(a) be the second derivative of 0 - 2*a**2 + 1/3*a**3 + 1/6*a**4 - 3*a. Factor v(t).
2*(t - 1)*(t + 2)
Suppose -2*h = v - 17, -3*v = -3*h + v + 20. Let i be (18/(-30))/((-3)/h). Factor 2/5*r**2 + 8/5 - i*r.
2*(r - 2)**2/5
Let a(y) = -5*y**2 - 6*y + 20. Let c(b) = -16*b**2 - 18*b + 58. Let d(v) = 7*a(v) - 2*c(v). Suppose d(t) = 0. Calculate t.
-4, 2
Let i(t) = t - 5. Let w be i(7). Suppose 7*y - 10 = w*y. Determine o, given that 1 + 1/4*o**y + o = 0.
-2
Suppose 0 = -7*f - 28 + 56. Let m(g) be the third derivative of 0 + 0*g**3 + 1/120*g**6 + 0*g**f + 0*g**5 + 4*g**2 + 0*g. Find z, given that m(z) = 0.
0
Let h be (126 - 3)*(1 + 0). Let r = h + -1351/11. Factor -r*i**2 + 0 + 2/11*i.
-2*i*(i - 1)/11
Let n(o) = 3*o**4 - 12*o**3 - 8*o**2 - 7. Let j(d) = -3*d**2 - d**4 - d**4 + 1 + 7*d**2 + 3 + 6*d**3. Let a(f) = 7*j(f) + 4*n(f). Factor a(y).
-2*y**2*(y + 1)*(y + 2)
Let g be -3*(1 - (-20)/(-12)). Factor -2/9*u**g + 0*u + 0 + 2/9*u**3.
2*u**2*(u - 1)/9
Let l be (-27)/(-12) - 1/4. Suppose -2*t = l - 10. Factor c - 4*c + c**2 + t*c.
c*(c + 1)
Let b(r) be the first derivative of -r**6/30 + r**4/10 - r**2/10 - 1. Factor b(h).
-h*(h - 1)**2*(h + 1)**2/5
Let p(x) be the third derivative of x**8/28 + 2*x**7/105 - x**6/5 - 2*x**5/15 + x**4/2 + 2*x**3/3 - 4*x**2. Solve p(j) = 0.
-1, -1/3, 1
Suppose 7*a - 11*a = 0. Let c be a*-2*(-4)/(-24). Factor 2/5*l**5 + 4/5*l**4 - 4/5*l**2 - 2/5*l + c + 0*l**3.
2*l*(l - 1)*(l + 1)**3/5
Suppose -96 - 6 = -51*u. Factor -1/3*q**3 + 0*q + 0 - 2/3*q**u.
-q**2*(q + 2)/3
Let -27*s**3 + 20*s**4 + 5*s**2 - 4 + 4 + 2*s**3 = 0. What is s?
0, 1/4, 1
Let o(i) = -i**3 - 5*i**2 - i - 7. Let p be o(-5). Let n = 10 + p. Solve 8*v - n*v**2 - 54*v**3 + 108*v**4 + 7 - 2 - 5 - 54*v**5 = 0 for v.
-1/3, 0, 2/3, 1
Let d = 87/11 - 2599/330. Let b(n) be the third derivative of -1/168*n**8 + 0*n + 0*n**4 + 17/420*n**7 + 0 + 0*n**3 + d*n**5 - 1/12*n**6 + 2*n**2. Factor b(l).
-l**2*(l - 2)**2*(4*l - 1)/2
Let n(l) = -l**5 - l**4 - l**2 + l + 1. Let z(m) = -7*m**5 - 9*m**4 - 2*m**3 - 5*m**2 + 5*m + 5. Let h(d) = -10*n(d) + 2*z(d). Factor h(p).
-4*p**3*(p + 1)**2
Let m be (-1465)/(-930) + 2/12. Let c = m - 22/155. Find z such that -10*z**4 - c*z + 0 - 2*z**3 + 32/5*z**2 = 0.
-1, 0, 2/5
Let j(k) be the third derivative of -k**7/70 - k**6/20 - k**5/20 + 8*k**2. Solve j(s) = 0.
-1, 0
Find j, given that 3/2*j**2 + 147/2 - 21*j = 0.
7
Let t(s) be the second derivative of 2*s**6/15 + 3*s**5/5 + s**4 + 2*s**3/3 + 28*s. Find p such that t(p) = 0.
-1, 0
Suppose 5*w - 25 = -2*d, -3*w - 16 = -8*d + 3*d. Suppose w*i = i + 6. Solve p**3 + p**5 + 4*p**4 + p**i + p**5 + 0*p**5 = 0 for p.
-1, 0
Let x be ((-30)/27)/5*(-324)/144. Find j, given that -1/2*j**5 + 2*j**2 - j**4 - x*j + j**3 - 1 = 0.
-2, -1, 1
Let y(b) be the first derivative of 28*b**5/5 + 2*b**4 - 112*b**3/3 - 16*b**2 - 23. Factor y(j).
4*j*(j - 2)*(j + 2)*(7*j + 2)
Factor 6 - 9*w + 9 - 4*w**2 - w**2 - w.
-5*(w - 1)*(w + 3)
Factor 0 - 2/3*k**5 + 0*k**2 + 8/3*k**4 + 0*k + 0*k**3.
-2*k**4*(k - 4)/3
Suppose -a = -1, -5*m + a + 21 = 2*a. Let z be 2/(-3) + (-8)/(-3). Factor 4*v**z - m*v**3 - 2 + 2*v**4 - 4*v**2 + 4*v.
2*(v - 1)**3*(v + 1)
Factor 42*u - 42*u + 3*u**2 + 3*u**3.
3*u**2*(u + 1)
Let r be (2 - (0 - 1)) + 3. Suppose -r*h**2 + 3*h + 4*h**2 - h**2 = 0. Calculate h.
0, 1
Let p(b) be the second derivative of b**6/10 - 3*b**5/5 + b**4 - 10*b. Factor p(d).
3*d**2*(d - 2)**2
Find w such that 0*w**3 - 2/3 + 0*w + 4/3*w**2 - 2/3*w**4 = 0.
-1, 1
Suppose -z - 4 = -3*z. Find h such that 4*h - 2*h**2 - 2*h - z*h = 0.
0
Let p(t) be the second derivative of -t**4/4 - 3*t**3/2 + 6*t**2 + 66*t. Solve p(m) = 0.
-4, 1
Let j = 7568/3 + -2545. Let u = j - -24. Let -1/3*z**4 + 4/3*z**3 + 2/3*z + 0 - u*z**2 = 0. Calculate z.
0, 1, 2
Let k(p) be the third derivative of p**8/112 + p**7/70 - 3*p**6/40 - p**5/4 - p**4/4 + 5*p**2. Let k(w) = 0. What is w?
-1, 0, 2
Let b be 3*(-1)/(-6)*6. Suppose -1 - 1/2*y**5 + 5/2*y + 2*y**4 - y**2 - 2*y**b = 0. What is y?
-1, 1, 2
Let c be 16/(-200)*(-23 + 3). Factor -c*t - 8/5 - 2/5*t**2.
-2*(t + 2)**2/5
Let n(v) be the second derivative of -v**9/15120 + v**8/4200 - v**3/6 + v. Let c(m) be the second derivative of n(m). Factor c(b).
-b**4*(b - 2)/5
Let p(i) be the first derivative of 1/2*i**2 - 3 -