ne d so that u(d) = 0.
-1, -1/3, 0, 1
Let l(k) be the third derivative of k**8/112 + 4*k**7/35 + 3*k**6/8 - 2*k**5/5 - 2*k**4 + 24*k**2. Let l(t) = 0. Calculate t.
-4, -1, 0, 1
Suppose -f - 1 = -7. Let h(b) be the second derivative of 2*b + 1/15*b**f + 0*b**5 + 1/6*b**3 - 1/6*b**4 + 0 + 0*b**2 - 1/42*b**7. Solve h(r) = 0.
-1, 0, 1
Let v(g) be the first derivative of 0*g + 1/75*g**5 + 1 + 1/60*g**4 - 1/15*g**3 + g**2. Let b(o) be the second derivative of v(o). Factor b(k).
2*(k + 1)*(2*k - 1)/5
Let l(b) be the third derivative of -1/120*b**6 - 1/60*b**5 + 7*b**2 + 0*b + 1/24*b**4 + 0*b**3 + 0 + 1/210*b**7. Factor l(q).
q*(q - 1)**2*(q + 1)
Let u(l) be the first derivative of l**5/180 + l**4/72 - l**3/9 - 3*l**2/2 + 2. Let h(a) be the second derivative of u(a). Factor h(d).
(d - 1)*(d + 2)/3
Suppose 2*q = -2*m + 4 - 0, 0 = -5*m + q + 4. Suppose 1 = b - m. Let -2/5*z - 2/5*z**b + 2/5 + 2/5*z**3 = 0. Calculate z.
-1, 1
Suppose 7 = p - 0. Suppose 2*q = -5*v - p, 0*v = 3*q + v - 9. Determine u so that 2*u - q*u**3 + u**3 + 2*u**4 - 2*u**2 + u**3 = 0.
-1, 0, 1
Let p = -16 + 18. Factor -2 - 9*l**2 - 3*l - l**p + 2*l**2 + 7*l**2.
-(l + 1)*(l + 2)
Let y be -5*(-5 + 92/20). Determine b so that 2/3*b**y + 0*b**3 - 2/3*b**4 + 0 + 0*b = 0.
-1, 0, 1
Let r(m) be the third derivative of -3/10*m**5 + 0 - 1/10*m**6 - 1/2*m**4 + 0*m + 8*m**2 - 1/2*m**3 - 1/70*m**7. Determine t so that r(t) = 0.
-1
Factor 2/11 + 6/11*s**2 + 10/11*s - 18/11*s**3.
-2*(s - 1)*(3*s + 1)**2/11
Let l(t) be the third derivative of -t**5/12 - 5*t**4/12 + 16*t**2. Solve l(a) = 0.
-2, 0
Let w(k) be the second derivative of 3*k**5/80 - k**4/8 + 9*k. Factor w(m).
3*m**2*(m - 2)/4
Suppose -z + 4 = z. Factor 5 + 4*q - 4 + 1 - q**2 + 3*q**z.
2*(q + 1)**2
Let o(v) be the first derivative of -v**6/60 - v**5/30 + v**4/12 + v**3/3 + 2*v**2 + 1. Let t(p) be the second derivative of o(p). Factor t(f).
-2*(f - 1)*(f + 1)**2
Let z(g) = 14*g**2 + 6*g. Let s(i) = -9*i**2 - 4*i. Suppose 7*f = 3*f, -3*f = v - 5. Let j(r) = v*z(r) + 8*s(r). Factor j(x).
-2*x*(x + 1)
Let c(q) be the second derivative of q**6/195 + q**5/130 - 5*q**4/39 + 8*q**3/39 + 4*q. Find p such that c(p) = 0.
-4, 0, 1, 2
Let k(d) be the second derivative of -d**7/126 - d**6/90 + d**5/60 + d**4/36 + 5*d. Factor k(j).
-j**2*(j - 1)*(j + 1)**2/3
Let i(d) = -17*d**4 - 9*d**3 + 25*d**2 + 9*d + 1. Let y(p) = 8*p**4 + 4*p**3 - 12*p**2 - 4*p. Let m(s) = 4*i(s) + 9*y(s). Find k, given that m(k) = 0.
-1, 1
Let p(n) be the first derivative of 1/12*n**4 + 1/60*n**5 - n**2 - 1 + 1/6*n**3 + 0*n. Let j(i) be the second derivative of p(i). Factor j(l).
(l + 1)**2
Let q = -83 + 86. Factor 2/9 + 0*i**2 - 4/9*i + 4/9*i**q - 2/9*i**4.
-2*(i - 1)**3*(i + 1)/9
Let z(r) = r**2 - r + 1. Let a(m) = 2*m**3 + 6*m**2 - 8*m + 4. Let i(t) = a(t) - 4*z(t). Factor i(h).
2*h*(h - 1)*(h + 2)
Solve 28/11*r**4 - 6/11*r**5 - 52/11*r**3 + 4/11 + 48/11*r**2 - 2*r = 0.
2/3, 1
Let z(o) = 2 - 1 - 2*o - 3*o. Let r be z(-1). Solve -r*p + 6 + 4*p - 10 + 4*p**2 + 2*p**3 = 0 for p.
-2, -1, 1
Suppose -4*c - 60 = -5*u, -4*u + 9*u - 45 = c. Let q = u + -6. Determine y so that -y - 4*y**q - y + 2*y**2 + 0*y = 0.
-1, 0
Let t(l) be the first derivative of 0*l**2 - 2 + 0*l**4 + 0*l**3 + 1/24*l**6 + 0*l + 1/20*l**5. What is y in t(y) = 0?
-1, 0
Let r be 696/(-32) - (-1)/(-4). Let m = r + 22. Factor m + 2/5*g + 2/5*g**2.
2*g*(g + 1)/5
Let r be 1/((-9)/(-6))*-6. Let p(s) = -2*s + 1 + 4*s**2 + 0*s**2 + 2*s**3 + 3. Let a(n) = n**2 + 1. Let x(k) = r*a(k) + p(k). Factor x(i).
2*i*(i - 1)*(i + 1)
Let v(c) be the second derivative of -c**6/1080 + c**5/360 - c**3/2 - c. Let i(u) be the second derivative of v(u). Factor i(o).
-o*(o - 1)/3
Suppose -2*v - 4 = -20. Suppose x = -4*r - 8, -6*x - 4*r + v = -x. Solve -1/2*m**5 - 3/2*m**3 - 1/2*m**2 + 0 - 3/2*m**x + 0*m = 0 for m.
-1, 0
Let d(t) = -t**3 + 3*t**2. Let p(s) = -s**2. Let a be 2 + (-3)/(-9)*-3. Let q(z) = a*p(z) + d(z). Let q(w) = 0. Calculate w.
0, 2
Suppose 0*c - 6 = 3*c. Let l be c/(8/(-12)) + -1. Factor -4/3*f - 2/3*f**l - 2/3.
-2*(f + 1)**2/3
Let d be 0 - 10*(-4)/8. Let v(n) be the third derivative of 1/210*n**d - 1/21*n**3 + 0*n + n**2 - 1/84*n**4 + 1/420*n**6 + 0. Factor v(t).
2*(t - 1)*(t + 1)**2/7
Suppose -5*a + 985 = 175. What is v in -8 - 8 + 11*v + a*v**3 - 252*v**2 + 69*v + 40*v = 0?
2/9, 2/3
Let g(l) be the first derivative of -l**4/6 + 8*l**3/9 + l**2/3 - 8*l/3 + 9. Factor g(f).
-2*(f - 4)*(f - 1)*(f + 1)/3
Let x(m) = 7*m**2 + 3*m + 5. Let k(p) = -3*p**2 - p - 2. Let c = 10 - 6. Let b(j) = c*x(j) + 10*k(j). Factor b(w).
-2*w*(w - 1)
Suppose -6*m**2 - 10*m - 7*m**2 + 13*m**4 - 3*m**5 - 2*m**3 + 15*m**3 = 0. What is m?
-1, -2/3, 0, 1, 5
Let g(v) = v**2 + v - 2. Let z be g(2). Let k(d) be the first derivative of 2 + 0*d**2 + 3/10*d**5 + 0*d + 1/6*d**3 - 3/8*d**z - 1/12*d**6. Factor k(s).
-s**2*(s - 1)**3/2
Let k(h) be the first derivative of 3*h**2 + 1 - 3/5*h**5 - 3/2*h**4 + 3*h + 0*h**3. Factor k(y).
-3*(y - 1)*(y + 1)**3
Find l such that -4*l**3 - 16 + 7*l + 41*l**2 - 29*l**2 - 7*l = 0.
-1, 2
Let l(o) = -4*o**4 + 2*o**3 + 2*o**2 - 2*o - 2. Let d(j) = j**5 - 9*j**4 + 5*j**3 + 5*j**2 - 5*j - 5. Let t(p) = -4*d(p) + 10*l(p). Factor t(v).
-4*v**4*(v + 1)
Let t(g) be the second derivative of -7*g + 1/30*g**4 - 2/5*g**2 + 1/15*g**3 + 0. Factor t(x).
2*(x - 1)*(x + 2)/5
Suppose o - 5 = 2*l, -2*l = 2*o - 9 - 1. Suppose 0 = i + o*i. Find d such that 2/3*d**3 + i*d + 0*d**2 + 0 + 2/3*d**4 = 0.
-1, 0
Let f(m) be the second derivative of -m**6/15 - m**5/40 + 7*m**4/16 - 13*m**3/24 + m**2/4 - 4*m. Suppose f(v) = 0. What is v?
-2, 1/4, 1/2, 1
Suppose -7*v - 71 = 13. Let b be 18/8 + v/6. Factor 1/4*f - 1/4*f**4 + 0 + 1/4*f**2 - b*f**3.
-f*(f - 1)*(f + 1)**2/4
Suppose -7 = -5*y + 3. Factor -s - s**2 + s + 0*s**y.
-s**2
Let d(m) be the second derivative of m**7/5040 + m**6/720 + m**5/240 + m**4/12 + 3*m. Let o(y) be the third derivative of d(y). Suppose o(h) = 0. What is h?
-1
Let a be 14/78 - (-4)/26. Let k be 10/25 - 2/30. Factor a - k*y**2 + 1/3*y**3 - 1/3*y.
(y - 1)**2*(y + 1)/3
Suppose -3*x = 1 - 13. What is a in x - 3*a**5 - 3*a + 2*a**4 + 2*a**3 - 4*a**2 - a**3 - 2 + 5*a**3 = 0?
-1, 2/3, 1
Let s(l) = -3*l**4 + 9*l**2 - 13*l + 7. Let r(y) = y**4 - 3*y**2 + 4*y - 2. Let n(g) = 21*r(g) + 6*s(g). Determine d, given that n(d) = 0.
-2, 0, 1
Let b = -995/2 - -499. Find f such that 21/2*f - b*f**4 + 15/2*f**3 - 27/2*f**2 - 3 = 0.
1, 2
Suppose -2*g + 3*r + 12 = g, -2*g = 2*r. Factor -5*a**2 - 3*a**3 + 0*a**g - 2*a**5 + 6*a**2 + 3*a**4 + a**5.
-a**2*(a - 1)**3
Find t, given that -16 - 16 - 24*t - 4*t**2 + 0*t**2 = 0.
-4, -2
What is p in 2/5 - 2/5*p**2 + 0*p = 0?
-1, 1
Let a(p) = -p**4 - p**2 - p - 1. Suppose -5*g + 20 = -5, -2*g + 20 = x. Let i(r) = 2*r**4 - 16*r**3 - 6*r**2 - 10*r - 10. Let w(b) = x*a(b) - i(b). Factor w(l).
-4*l**2*(l - 1)*(3*l - 1)
Let a(u) be the first derivative of 3*u**6/2 + 3*u**5/5 - 9*u**4/4 - u**3 + 1. Suppose a(y) = 0. Calculate y.
-1, -1/3, 0, 1
Let t(j) be the first derivative of -j**6/15 + j**4/5 - j**2/5 - 37. Factor t(m).
-2*m*(m - 1)**2*(m + 1)**2/5
Let h be (-42)/(-6) + 0 + -5. Determine p, given that 1/2*p**h + 0*p + 0 = 0.
0
Let o = -2243 + 42593/19. Let g = 158/95 + o. Determine m so that 0 - 2/5*m**2 - g*m = 0.
-1, 0
Factor 0 - 8/3*p**2 - 2*p**3 + 8/3*p.
-2*p*(p + 2)*(3*p - 2)/3
Factor 2/3*l + 0 - 1/3*l**2 - 1/3*l**3.
-l*(l - 1)*(l + 2)/3
Let b(u) be the third derivative of u**6/80 + u**5/24 + u**4/24 - 3*u**2. Factor b(s).
s*(s + 1)*(3*s + 2)/2
Let t = -1 + -1. Let s(w) = 261*w**3 - 187*w**2 + 53*w - 9. Let i(r) = 130*r**3 - 94*r**2 + 26*r - 4. Let k(c) = t*s(c) + 5*i(c). Factor k(m).
2*(4*m - 1)**3
Let f(j) be the second derivative of -j**5/25 + 3*j**4/5 - 2*j**3 - 10*j**2 - 3*j - 2. Solve f(k) = 0.
-1, 5
Let c = -17 + 21. Let r be 6*(45/(-12) + c). Factor -h**3 + r*h**5 + 1/2 + 5/2*h**4 - 1/2*h - 3*h**2.
(h - 1)*(h + 1)**3*(3*h - 1)/2
Let d(o) = 6*o**2 + 3*o - 9. Let a(s) = -5*s**2 - 2*s + 10. Let n(b) = -3*a(b) - 2*d(b). Factor n(g).
3*(g - 2)*(g + 2)
Let a(b) = -b**2. Let r(k) = -5*k + 6. Let n(x) = -a(x) - r(x). Find l such that n(l) = 0.
-6, 1
Factor 36*g - 15*g + 5*g**2 - 10 - 16*g.
5*(g - 1)*(g + 2)
Let h(d) be the second derivative of d**4/4 - d**3 + 3*d**2/2 + 18*d. Let h(g) = 0. What is g?
1
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