d**4 - d**3 - 2. Let u(z) = z**4 + z**3 + 1. Let v = 17 - 24. Let c = v - -4. Let o(r) = c*h(r) - 6*u(r). Factor o(l).
-3*l**3*(l - 1)**2
Let p = 412/5 - 82. Factor 0 - p*q**4 - 2/5*q + 2/5*q**2 + 2/5*q**3.
-2*q*(q - 1)**2*(q + 1)/5
Let a(z) be the third derivative of z**5/150 + z**2. Factor a(l).
2*l**2/5
Factor 0*y**3 + 0*y + 0*y**2 - 3/5*y**5 + 0*y**4 + 0.
-3*y**5/5
Let g = 1 - 0. Let z(b) = 3*b**2 + 4*b. Let h(k) = -k**2 - k. Let u(o) = g*z(o) + 4*h(o). Let d(v) = 6*v**2 - 1. Let j(i) = -d(i) - 5*u(i). Factor j(q).
-(q - 1)*(q + 1)
Solve 0*k**2 - 6/17*k + 2/17*k**3 + 4/17 = 0 for k.
-2, 1
Let w = 7058/21 + -336. Let q(a) be the second derivative of -1/105*a**6 - a + 1/7*a**2 - w*a**3 + 0*a**4 + 0 + 1/35*a**5. Find n such that q(n) = 0.
-1, 1
Let x(v) be the third derivative of v**5/180 - v**4/36 + v**3/18 + 3*v**2. Factor x(w).
(w - 1)**2/3
Let y(t) = -2*t - 8. Let q be y(-8). Let r be 14/q + 2/8. Factor -8 + 0*l**2 - 3*l**r - 8*l + l**2.
-2*(l + 2)**2
Let p(a) be the third derivative of -a**7/2310 - a**6/1980 - a**3/3 - 4*a**2. Let c(k) be the first derivative of p(k). Factor c(x).
-2*x**2*(2*x + 1)/11
Let m(y) = y**4 - 2*y**3 - 7*y**2 + 8*y - 2. Let o(t) = -12*t**4 + 27*t**3 + 90*t**2 - 105*t + 27. Let i(b) = -27*m(b) - 2*o(b). Factor i(u).
-3*u*(u - 1)**2*(u + 2)
Let v(i) be the third derivative of i**7/315 - i**6/45 + i**5/18 - i**4/18 + 2*i**2. Factor v(y).
2*y*(y - 2)*(y - 1)**2/3
Let l(c) be the second derivative of -c**8/80 + c**7/56 + c**6/60 + 5*c**3/6 - 6*c. Let m(v) be the second derivative of l(v). Factor m(a).
-3*a**2*(a - 1)*(7*a + 2)
Let y(r) = r**2 + r - 24. Let w(a) = -2*a**2 - 2*a + 24. Let f(c) = 3*w(c) + 2*y(c). Factor f(v).
-4*(v - 2)*(v + 3)
Let t = 103/3 + -34. Let w(p) be the second derivative of 1/12*p**4 - t*p**3 + 0 + 0*p**2 + p. Factor w(z).
z*(z - 2)
Let y(r) be the third derivative of -1/90*r**5 + 0 + 0*r**3 + 0*r**4 + 0*r + 2*r**2. Solve y(j) = 0 for j.
0
Suppose 5*x = 4*x + 10. Let o(k) = k**3 - 9*k**2 - 9*k - 6. Let m be o(x). Factor h**5 + h + h**3 + h**3 + 0*h**5 - 4*h**2 + 4*h**3 - 4*h**m.
h*(h - 1)**4
Let k = 2/69 + 12/115. Suppose -2/3*t**3 - k*t - 16/15*t**2 + 4/15 = 0. What is t?
-1, 2/5
Let j(h) = -h**2 - 7*h - 7. Let a(d) = d**3 + 4*d**2 - 5*d - 5. Let p be a(-5). Let q be j(p). Factor -c - 3 + 0*c + 3*c**3 + q*c**2 - c - c.
3*(c - 1)*(c + 1)**2
Let y(g) be the third derivative of -g**7/11340 + g**6/3240 - g**4/12 + g**2. Let s(h) be the second derivative of y(h). Factor s(k).
-2*k*(k - 1)/9
Let s(p) = -p**2 + 4*p - 3. Let n(a) = a - 1. Let l(r) = 4*n(r) - s(r). Factor l(y).
(y - 1)*(y + 1)
Let t = 9 - 6. Let r be (-1)/(t/(-6) - 0). Determine m so that 0 + r*m**2 + 0 + 2*m = 0.
-1, 0
Let t(k) be the second derivative of -k + 1/90*k**6 + 1/12*k**4 + 0 - 1/18*k**3 - 1/20*k**5 + k**2. Let v(i) be the first derivative of t(i). Factor v(m).
(m - 1)**2*(4*m - 1)/3
Let b = 238/111 + -30/37. Let p = -5 + 7. Factor -2/3*v**2 + p*v - b.
-2*(v - 2)*(v - 1)/3
Let l(r) be the first derivative of r**4 - 8*r**3/3 + 2*r**2 - 10. Determine y so that l(y) = 0.
0, 1
Let c be ((-2)/(-7))/(2/14). Let t(s) be the first derivative of -5/2*s**4 + s + 1 + 10/3*s**3 - 1/6*s**6 + s**5 - 5/2*s**c. Factor t(w).
-(w - 1)**5
Suppose 3*p - 30 = -0*b - 3*b, 0 = p - 4*b + 15. Let v(k) be the second derivative of 1/14*k**4 + 2/21*k**3 + 1/70*k**p - k + 0 + 0*k**2. Solve v(x) = 0.
-2, -1, 0
Let b = 111 - 1441/13. Solve -2/13*m**2 + 2/13*m + 2/13 - b*m**3 = 0.
-1, 1
Let h be ((-1)/(-10))/(28/(-90)). Let q = h + 4/7. Factor q*s**2 + 1 - s.
(s - 2)**2/4
Let z(b) be the first derivative of -b**3/6 - b**2/2 - 33. Let z(l) = 0. Calculate l.
-2, 0
Let t(k) be the third derivative of 0*k**3 + 5/42*k**8 + 0*k**4 + 0 + 1/60*k**6 - 1/15*k**5 + 0*k + 23/105*k**7 - 4*k**2. Let t(d) = 0. Calculate d.
-1, -2/5, 0, 1/4
Let t be ((-44)/(-12))/((-2)/(-6)). Factor -t*j**2 + 5 + 0 + 4 + 6*j + 8*j**2.
-3*(j - 3)*(j + 1)
Suppose 4*q + 6 = 14. Factor 3*a**4 + 3*a + a**4 + 16*a**3 + 20*a**q + 5*a.
4*a*(a + 1)**2*(a + 2)
Let q(o) = o**2 + 6*o - 14. Let t be q(-8). Factor 2*d - 8*d**2 - t - 10*d + d**2 - d.
-(d + 1)*(7*d + 2)
Let g(u) be the third derivative of -u**6/360 + u**5/45 + u**4/72 - 2*u**3/9 - 32*u**2. Let g(w) = 0. What is w?
-1, 1, 4
Let s(w) be the second derivative of -w**4/30 + w**2/5 - 8*w. Suppose s(k) = 0. What is k?
-1, 1
Let -296*f**3 - 294*f**5 - 288/7*f**2 - 32/7 + 742*f**4 + 256/7*f = 0. Calculate f.
-1/3, 2/7, 2
Let i = -3/25 + 43/150. Factor 1/6*t**2 - 1/3*t + i*t**3 + 0.
t*(t - 1)*(t + 2)/6
Suppose -c - 10 = -6*c. Factor 6*i**c + 2*i**2 + 3*i - 9*i**3 - 2*i**2.
-3*i*(i - 1)*(3*i + 1)
Suppose t + 1 = -y + 2, -3*y = -t - 11. Let p(b) be the second derivative of 1/2*b**2 - 4*b + 0 - 1/48*b**4 + 0*b**y. Determine s so that p(s) = 0.
-2, 2
Factor 2*r**4 - 6*r - 15 + 10*r**3 + 5*r - 7*r**4 + 20*r**2 - 9*r.
-5*(r - 3)*(r - 1)*(r + 1)**2
Let c = -83 + 83. Solve -1/4*i**3 + c + 1/4*i**2 + 0*i = 0.
0, 1
Let l = 3 - 6. Let j be 1 - (l/(-3) - 4). Factor -1 + 4 - 4*m**2 - 4*m - j.
-(2*m + 1)**2
Let q(z) be the second derivative of z**6/720 + z**5/120 + z**4/48 + z**3/3 - 4*z. Let r(d) be the second derivative of q(d). Let r(v) = 0. Calculate v.
-1
Let b(d) be the third derivative of -1/180*d**6 + 2*d**2 + 0 + 1/630*d**7 + 0*d**4 + 0*d**5 + 0*d + 0*d**3. Factor b(c).
c**3*(c - 2)/3
Let b(z) be the first derivative of 3*z**4/28 - z**3/7 - 3*z**2/14 + 3*z/7 - 3. Find c, given that b(c) = 0.
-1, 1
Factor -1/4*g**4 + 1/4*g**5 + 1/4*g + 1/2*g**2 - 1/2*g**3 - 1/4.
(g - 1)**3*(g + 1)**2/4
Let m(j) be the first derivative of -j**6/3 + j**5/5 + 5*j**4/6 - 2*j**3/3 + 3*j - 3. Let t(g) be the first derivative of m(g). Find p such that t(p) = 0.
-1, 0, 2/5, 1
Let a be 3 + (-1)/2*4. Solve 21*d**2 + 1 + d**2 - 8*d**3 - 4 - 10*d - a = 0.
-1/4, 1, 2
Suppose -2*l - 27 = -5*k, 0 = 5*k + 4 - 19. Let u be 4/l*18/(-3). Factor 6*x**5 + 4*x**2 - 4*x + 6*x**3 - u*x**2 + 14*x**4 - 6*x**2.
2*x*(x + 1)**3*(3*x - 2)
Let h = -4/5 - -31/20. Let o be (2*(-4)/(-40))/(8/10). Factor 3/4*u**2 + 1/4*u**3 + h*u + o.
(u + 1)**3/4
Let g(q) be the third derivative of 2*q**7/105 - q**6/30 - q**5/15 + q**4/6 + 4*q**2. Let g(p) = 0. Calculate p.
-1, 0, 1
Let p = 8 - 6. What is y in 2*y**2 + 0*y**2 + y**p + 3*y = 0?
-1, 0
Let w(z) be the first derivative of 2*z**5/35 - 4*z**3/21 + 2*z/7 + 61. Factor w(j).
2*(j - 1)**2*(j + 1)**2/7
Factor -1/2 - v - 1/2*v**2.
-(v + 1)**2/2
Suppose -3*o + 21 = 2*o - 2*p, o + 12 = -5*p. Suppose 0 - 4/3*a**o + 4/3*a**4 - 4/3*a**2 + 4/3*a = 0. What is a?
-1, 0, 1
Let l(c) be the second derivative of -1/66*c**4 + 8*c - 1/110*c**5 + 1/11*c**2 + 0 + 1/33*c**3. Suppose l(a) = 0. Calculate a.
-1, 1
Let t(d) be the third derivative of 2*d**7/105 + 2*d**6/15 + 4*d**5/15 + 7*d**2. Solve t(z) = 0.
-2, 0
Suppose -237*q**2 - 8 - 3*q**3 - q**5 + 239*q**2 - 12*q + 10*q**3 = 0. What is q?
-2, -1, 2
Let v(q) be the first derivative of q**4/2 - 8*q**3/3 - 3*q**2 + 36*q + 7. Determine x, given that v(x) = 0.
-2, 3
Let m(z) be the second derivative of z**6/165 - z**5/110 + 13*z. Determine d, given that m(d) = 0.
0, 1
Suppose -1 = f + r - 4*r, 0 = -3*f - 3*r + 9. Let k be ((-4)/(-8))/(-1 + f). Determine v, given that -k*v - 1/4*v**2 + 0 = 0.
-2, 0
Let k be (-7 - (-240)/35)/(-4 - -3). Solve 0 + k*l**3 - 2/7*l + 1/7*l**2 = 0 for l.
-2, 0, 1
Let r(n) be the first derivative of n**9/12096 + n**8/3360 - n**6/720 - n**5/480 - n**3 + 1. Let l(k) be the third derivative of r(k). Factor l(q).
q*(q - 1)*(q + 1)**3/4
Let f(i) = 81*i**5 - 96*i**4 + 15*i**3. Let y(z) = -5*z**5 + 6*z**4 - z**3. Let s(h) = -2*f(h) - 33*y(h). Let s(q) = 0. Calculate q.
0, 1
Let o be (0 + 1)*(1 - 1). Let p = 181 + -723/4. Suppose 1/4*q - p*q**2 + o = 0. What is q?
0, 1
Suppose 3 = 4*y - 3*i, 2*y = -2*i - 2 + 14. Suppose -1/2*l**y + 0 + 0*l**4 + 1/4*l + 0*l**2 + 1/4*l**5 = 0. What is l?
-1, 0, 1
Suppose -g - 6 = 3*w, 0*w + w + 27 = -2*g. Let z = g - -19. Find m such that 4/7*m**2 - 6/7*m - 2/7*m**5 - 4/7 + 8/7*m**3 + 0*m**z = 0.
-1, 1, 2
Let l(s) be the second derivative of -1/30*s**4 + 1/15*s**3 + 0*s**2 + 1/75*s**6 + 0 - 1/50*s**5 - 6*s. Factor l(r).
2*r*(r - 1)**2*(r + 1)/5
Suppose 2*l = 4 - 0. Suppose l*s - 5*z - 9 = 0, 5*z + 11 = -s + 4*s. Suppose -5*h**s + h**2 - 2*h**3 + 2*h**2 = 0. What is h?
-1, 0
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