= 2*x**2 + 5*x + 8. Let f(o) = -5*h(o) - 6*i(o). Factor f(l).
3*(l - 1)*(l + 1)
Let n(u) be the first derivative of -5*u**3/3 + 15*u**2/2 + 20*u - 33. Factor n(m).
-5*(m - 4)*(m + 1)
Factor -k**3 + 4*k**5 - k**3 + 8*k**4 + 0*k**5 - 10*k**5.
-2*k**3*(k - 1)*(3*k - 1)
Let p(j) be the third derivative of -j**7/70 + j**6/40 + 3*j**5/20 - j**4/8 - j**3 - 6*j**2. Factor p(o).
-3*(o - 2)*(o - 1)*(o + 1)**2
Let f(d) be the second derivative of d**5/4 + 5*d**4/4 + 5*d**3/3 - 12*d. Let f(k) = 0. What is k?
-2, -1, 0
Let a be (-6)/12 - (-3)/4. Solve 0*r**2 - 1/4*r + 0 + a*r**3 = 0.
-1, 0, 1
Let w(n) = 103*n**5 + 130*n**4 + 20*n**3 - 7. Let l(f) = 52*f**5 + 65*f**4 + 10*f**3 - 3. Let k(q) = -7*l(q) + 3*w(q). Factor k(z).
-5*z**3*(z + 1)*(11*z + 2)
Let d = 6 - 3. Factor 3*y**d + 8*y - y**3 + 2*y**3 - 3*y**3 - 5*y**2 - 4.
(y - 2)**2*(y - 1)
Let l(i) be the first derivative of -1/27*i**6 - 4/15*i**5 - 7/9*i**4 - 4/9*i - i**2 - 32/27*i**3 + 5. Factor l(u).
-2*(u + 1)**4*(u + 2)/9
Let z(q) = -4*q**4 - 2*q**3 + 4*q**2. Let t be 54/3*(-4)/8. Let k(n) = -17*n**4 - 9*n**3 + 17*n**2. Let x(o) = t*z(o) + 2*k(o). Factor x(m).
2*m**2*(m - 1)*(m + 1)
Let k = 3 - 0. Suppose -5*m = -k*m - 4. Determine c so that -2*c**4 + 8/5 + 32/5*c - 22/5*c**3 + 18/5*c**m + 6/5*c**5 = 0.
-1, -1/3, 2
Factor 10 + 5*y**3 + 15*y**4 + 7*y**3 + 9*y**3 - 26*y**3 + 5*y - 25*y**2.
5*(y - 1)**2*(y + 1)*(3*y + 2)
Let v(w) be the first derivative of -4*w**5 + 22*w**4 - 4*w**3 - 44*w**2 + 32*w + 27. Solve v(m) = 0 for m.
-1, 2/5, 1, 4
Let d(u) be the first derivative of u**6/1800 - u**4/120 + u**3 + 3. Let t(i) be the third derivative of d(i). Factor t(l).
(l - 1)*(l + 1)/5
Let y(d) be the first derivative of d**3/15 - d/5 - 11. Factor y(p).
(p - 1)*(p + 1)/5
Solve -90*q**3 + 45*q**2 - 8*q + 125*q**5 + 20*q**2 - 13*q**2 - 25*q**4 = 0.
-1, 0, 2/5
Let d = 7 - 5. Factor -d + 3*g**3 - 2*g**5 + 4*g**2 - 2*g**4 + 0 + g**3 - 2*g.
-2*(g - 1)**2*(g + 1)**3
Let b(f) = 6*f**4 - 3*f**3 - 5*f**2 - f + 5. Let u(d) = 5*d**4 - 3*d**3 - 4*d**2 + 4. Let v(a) = 4*b(a) - 5*u(a). Solve v(m) = 0 for m.
-1, 0, 2
Let k(p) be the first derivative of 2 + 0*p**4 + 0*p**5 + p**3 - 1/3360*p**7 + 0*p + 0*p**6 + 0*p**2. Let v(b) be the third derivative of k(b). Factor v(s).
-s**3/4
Suppose 11 + 14*y - 2*y**3 - 4*y**2 + 18 - 37 = 0. What is y?
-4, 1
Let o(a) be the third derivative of -7*a**2 - 1/15*a**5 + 0 + 0*a - 1/3*a**4 + 0*a**3. Factor o(h).
-4*h*(h + 2)
Let x be 1/2*(-904)/(-16). Let n = x + -28. Factor -1/4 + 0*p + n*p**2.
(p - 1)*(p + 1)/4
Determine j, given that 3 - 3/2*j**2 - 3/2*j = 0.
-2, 1
Suppose 3*a = 8*a + a. Let z(u) be the third derivative of -2*u**2 + a + 0*u + 1/360*u**6 + 1/9*u**3 - 1/24*u**4 + 0*u**5. Factor z(j).
(j - 1)**2*(j + 2)/3
Suppose -4*h + 5*g - 4*g + 22 = 0, 2*g = 3*h - 19. Let u(z) = z**3 - 4*z**2 - 5*z + 3. Let a be u(h). Solve -4*x**4 + 0*x**4 + a*x**4 - x**3 = 0 for x.
-1, 0
Suppose 2*a + 22 = 66. Let d be 2 + ((-16)/a - 0). Factor -4/11*x + 0 - d*x**2.
-2*x*(7*x + 2)/11
Let k be (-4)/(-1) + 0 + -2. Solve -t**5 + t**k - 8*t**3 + 9*t**3 + 3*t**4 - 4*t**3 = 0 for t.
0, 1
Let h be 93/33 + (24/(-33))/(-4). Factor -1/2*n**2 + 0 + 1/2*n**h + 0*n.
n**2*(n - 1)/2
Suppose 3/4*p**2 - 3/2*p + 3/4 = 0. What is p?
1
Factor -1/4*p**4 + 1/4*p**3 + 5/4*p**2 + 3/4*p + 0.
-p*(p - 3)*(p + 1)**2/4
Let t = 14 - -7. Let w be ((-12)/t)/(2/(-7)). Factor 1/3*f**3 + 0 + 1/3*f + 2/3*f**w.
f*(f + 1)**2/3
Let s(m) = -27*m**3 - 51*m**2 - 51*m - 12. Let l(f) = -7*f**3 - 13*f**2 - 13*f - 3. Let q(z) = 15*l(z) - 4*s(z). Factor q(h).
3*(h + 1)**3
Let h = 134 + -134. Let i(d) be the second derivative of h + 1/14*d**7 + 0*d**2 + 2*d + 2/5*d**6 + 0*d**4 + 0*d**3 + 3/5*d**5. Factor i(k).
3*k**3*(k + 2)**2
Let w(y) be the first derivative of -y**6/18 + y**4/4 - 2*y**3/9 + 18. Factor w(p).
-p**2*(p - 1)**2*(p + 2)/3
Solve 0 - k**3 - 1/7*k - 5/7*k**2 - 3/7*k**4 = 0 for k.
-1, -1/3, 0
Let z(w) be the first derivative of -2/35*w**5 + 1 + 0*w - 1/7*w**4 + 0*w**2 - 2/21*w**3. Suppose z(q) = 0. Calculate q.
-1, 0
What is s in -2/3*s**2 + 2/3*s**3 + 2/3*s**4 - 2/3*s**5 + 0 + 0*s = 0?
-1, 0, 1
Let c = -89 - -93. Let i(y) be the second derivative of 0*y**2 + 2/21*y**3 + 1/105*y**6 - 1/35*y**5 + c*y - 1/42*y**4 + 0. Suppose i(o) = 0. What is o?
-1, 0, 1, 2
Let z be (-6)/(-9) - (-38)/(-3). Let q be (z/30)/(1/(-10)). Factor 2*c**2 + c + 0 + c - q.
2*(c - 1)*(c + 2)
Let g(l) be the third derivative of -l**7/3780 - l**6/1080 + l**4/6 + 3*l**2. Let b(h) be the second derivative of g(h). Factor b(a).
-2*a*(a + 1)/3
Let r(k) be the first derivative of -k**5/180 + k**3/18 + k**2 + 2. Let h(s) be the second derivative of r(s). Find l such that h(l) = 0.
-1, 1
Suppose -4*y + 5*w = 3*w, -2*y = -3*w. Let g(k) be the third derivative of 0*k**3 + 0*k + y*k**5 + 0 - 1/300*k**6 + 0*k**4 + 2*k**2. Factor g(m).
-2*m**3/5
What is k in k**3 - 8*k - 6 - k - 3*k**3 + 5*k**3 = 0?
-1, 2
Let w(t) be the third derivative of t**6/780 - 2*t**5/195 + t**4/39 + 2*t**2. Solve w(q) = 0 for q.
0, 2
Suppose 2*d - 2*q - 2*q = -8, -d + 5*q - 10 = 0. Let a be 1*3 - d/(-8). Solve 0 - 2/9*i**5 - 4/3*i**a - 2/9*i - 8/9*i**4 - 8/9*i**2 = 0.
-1, 0
Let y(f) = 5*f**4 - 8*f**3 + 3*f**2 + 2*f - 2. Let l(q) = -6*q**4 + 9*q**3 - 3*q**2 - 3*q + 3. Let k(i) = 2*l(i) + 3*y(i). Factor k(r).
3*r**2*(r - 1)**2
Let u be 6/8 + (-7)/(105/10). Let w(n) be the third derivative of 1/480*n**6 + n**2 + u*n**3 + 1/60*n**5 + 0*n + 0 + 5/96*n**4. Find o, given that w(o) = 0.
-2, -1
Let g(m) be the third derivative of 0 + 0*m - 1/90*m**5 + 0*m**4 - 1/45*m**6 + 0*m**3 - 3*m**2 - 1/105*m**7. Solve g(n) = 0 for n.
-1, -1/3, 0
Let a(t) = 6*t - 1 - 2 - 2 - t**2 - 1. Let d be a(4). Factor x + x**3 + x**d - 3*x**3 + 0*x**3.
-x*(x - 1)*(2*x + 1)
Let b = -178 - -178. What is f in 0*f + 4/7*f**4 + 0*f**2 + 2/7*f**5 + b + 2/7*f**3 = 0?
-1, 0
Let z(t) be the first derivative of 0*t - 2/21*t**3 - 2 + 0*t**2. Factor z(g).
-2*g**2/7
Let c(v) be the third derivative of -v**9/15120 + v**8/30240 + v**7/1512 - v**6/540 - v**5/20 + v**2. Let t(a) be the third derivative of c(a). Solve t(o) = 0.
-1, 1/2, 2/3
Let r(h) be the third derivative of -h**7/1365 - h**6/156 - 4*h**5/195 - h**4/39 - 2*h**2. Solve r(y) = 0.
-2, -1, 0
Factor 5/6*h**2 - 1/3*h + 1/3*h**3 - 5/6.
(h - 1)*(h + 1)*(2*h + 5)/6
Let k = 1 - 1. Suppose -17 = -4*a - u, k*a + 17 = -a + 4*u. Factor -4*v**2 + 4*v**2 - 4 + a*v**2 + 1.
3*(v - 1)*(v + 1)
Let t(q) = 8*q**4 + 134*q**3 - 170*q**2 + 26. Let f(w) = -w**4 - 15*w**3 + 19*w**2 - 3. Let l(m) = -52*f(m) - 6*t(m). Factor l(n).
4*n**2*(n - 4)*(n - 2)
Let b(i) be the third derivative of i**6/30 + i**5/3 + i**4/2 - 6*i**3 + 13*i**2 - 2*i. Let b(m) = 0. What is m?
-3, 1
Solve 0*l**4 - 9 + 9*l - 3*l - 3*l**4 + 0 + 12*l**2 - 6*l**3 = 0 for l.
-3, -1, 1
Suppose 2*z = -2*z + 3*n - 7, 5 = 5*z - n. Let -l**4 + 6*l**5 + 2*l**3 - l**2 - l**z + 0*l**5 + 11*l**4 = 0. What is l?
-1, 0, 1/3
Let k = 13 + -6. Let -k*p - 4*p - 8 - p + 6*p**3 - 7*p**3 - 6*p**2 = 0. What is p?
-2
Suppose -m = -p - 1, 4*m - 4*p + 3*p - 1 = 0. Determine q so that q**2 + m*q + 2*q + 1 + 0 + 0*q = 0.
-1
Let t(p) be the first derivative of 1/20*p**4 - 64/5*p - 4/5*p**3 + 24/5*p**2 - 5. Solve t(o) = 0 for o.
4
Let j(c) be the second derivative of -c**8/20160 + c**7/1890 - c**6/432 + c**5/180 - 5*c**4/12 + 6*c. Let r(t) be the third derivative of j(t). Factor r(i).
-(i - 2)*(i - 1)**2/3
Suppose 3*l + 6*v = 4*v, 0 = -2*l + 2*v. Solve 2*g**4 + l + 39/2*g**3 - 2*g**2 - 35/2*g**5 - 2*g = 0 for g.
-1, -2/7, 0, 2/5, 1
Let r(o) be the third derivative of -o**7/420 + o**6/180 + o**5/60 - o**4/12 - o**3/6 - 6*o**2. Let i(n) be the first derivative of r(n). Factor i(d).
-2*(d - 1)**2*(d + 1)
Let z(m) = 6*m**3 - 5*m**2 + 2*m - 3. Let h(p) = -p**3 + p. Let d(r) = -5*h(r) - z(r). Find a such that d(a) = 0.
1, 3
Let h be (2 - 3/3)*(-1 - -3). Find f, given that 0 - 1/4*f**h + 1/4*f = 0.
0, 1
Let y(m) = -5*m**3 + 13*m**2 - 10*m - 2. Let q(j) = 85*j**3 - 220*j**2 + 170*j + 35. Let f(t) = -2*q(t) - 35*y(t). Factor f(o).
5*o*(o - 2)*(o - 1)
Let i = 3 + 4. Suppose s + 2*s - i = -2*b, 4*s - 5*b - 17 = 0. Determine k so that -5/4*k + 1/2*k**4 - 7/4*k**s + 1/4 + 9/4*k**2 = 0.
1/2, 1
Let d(t) be the third derivative of -t**6/240 + t**5/120 + t**2. Factor d(n).
-n**2*(n - 1)/2
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