-5*v + 4. Factor -1 - 8*g - 1 - 4*g**v + 2*g.
-2*(g + 1)*(2*g + 1)
Let x be (4/5)/(26/65). Let v(d) be the third derivative of 0*d - 1/20*d**5 + 0*d**3 + d**x - 1/30*d**6 + 1/24*d**4 + 0. Let v(u) = 0. What is u?
-1, 0, 1/4
Let w(b) be the first derivative of -b**4/4 - 10*b**3/3 - 5*b**2 - 6*b - 3. Let k be w(-9). Factor k*n + 3*n + 2 - 5*n - n**2.
-(n - 2)*(n + 1)
Let m(c) be the first derivative of -1/7*c**4 - 2/35*c**5 - 5 + 0*c**2 + 0*c - 2/21*c**3. Solve m(r) = 0.
-1, 0
Let x(q) be the second derivative of q**5/240 + q**4/96 - q**2/2 - 3*q. Let f(g) be the first derivative of x(g). Solve f(v) = 0.
-1, 0
Let q = -3 + 5. Factor 2*t**3 + 0*t**3 - 6*t**3 - 2*t**q + 2*t**3.
-2*t**2*(t + 1)
Factor 0 - 1/3*x - 1/3*x**2.
-x*(x + 1)/3
Suppose -2*i = -7*i + 20. Factor -o**2 + o**i + 4*o**4 + 7*o**3 + 3*o**2.
o**2*(o + 1)*(5*o + 2)
Let x(k) be the second derivative of 2*k + 0 + 0*k**3 + 0*k**2 + 1/70*k**5 + 1/42*k**4. Suppose x(r) = 0. What is r?
-1, 0
Let k(y) be the second derivative of -y**7/294 - 2*y**6/105 - y**5/35 + y**4/42 + 5*y**3/42 + y**2/7 - 22*y. Factor k(u).
-(u - 1)*(u + 1)**3*(u + 2)/7
Let h(m) be the first derivative of -2/7*m - 1/7*m**3 - 1 - 1/2*m**2. Find k such that h(k) = 0.
-2, -1/3
Let r(i) be the first derivative of 1/9*i**6 + 0*i + 1 + 0*i**3 + 2/15*i**5 + 0*i**2 + 0*i**4. Factor r(t).
2*t**4*(t + 1)/3
Let s(a) = -a**2 + a - 1. Let k(t) = -2*t**2 + 12*t - 3. Suppose m = -4*g - 64, -8*m + 3*m + 25 = -3*g. Let b(x) = g*s(x) + 3*k(x). Find l such that b(l) = 0.
-2, -1/3
Let r(c) be the second derivative of 0*c**4 + 1/20*c**5 - 4*c + 0*c**2 - 1/6*c**3 + 0. What is a in r(a) = 0?
-1, 0, 1
Let i = 5 + -1. Let z be 7/(-3)*i/(-42). Factor 4/9*t**3 + 2/9 - 2/9*t + 2/9*t**4 - 4/9*t**2 - z*t**5.
-2*(t - 1)**3*(t + 1)**2/9
Suppose h - 1 = -1. Let i(d) be the second derivative of -3*d + h - 1/42*d**7 - 1/6*d**3 + 0*d**6 + 0*d**2 + 0*d**4 + 1/10*d**5. Factor i(c).
-c*(c - 1)**2*(c + 1)**2
Let a = -3398/5 - -680. Factor 0*x - 1/5*x**4 - 1/5*x**2 + 0 + a*x**3.
-x**2*(x - 1)**2/5
Let r(j) be the first derivative of j**3/15 + 2*j**2/5 + 4*j/5 + 4. Factor r(n).
(n + 2)**2/5
Suppose -12*u - 6 - 3/2*u**3 - 15/2*u**2 = 0. Calculate u.
-2, -1
Let g(b) = -2*b**2 + 4. Let x = -2 - 0. Let j(d) = -d. Let m(c) = x*j(c) + g(c). Factor m(q).
-2*(q - 2)*(q + 1)
Let b = 4/33 - 5/132. Let q(n) be the second derivative of n + 1/10*n**6 + 0*n**3 - 3/20*n**5 - 1/42*n**7 + 0*n**2 + 0 + b*n**4. Factor q(c).
-c**2*(c - 1)**3
Let u = 4 + 3. Let q = 0 - -5. Factor 2 - 4*f - 4*f**2 + u*f + q*f**2.
(f + 1)*(f + 2)
Factor -2*a**4 + 3*a**4 + 5*a**5 + a**5 - 7*a**5 + 2*a**3.
-a**3*(a - 2)*(a + 1)
Let s = 17 + -3. Suppose -w - 2*q - 2*q = s, 12 = 2*w - 2*q. Factor -3 + 0 + y - 3*y**w - 7*y + 0.
-3*(y + 1)**2
Let x be 144/68 + (-2)/17. Let u(f) be the first derivative of 2 - 1/16*f**4 + 2*f - 3/2*f**x + 1/2*f**3. Factor u(p).
-(p - 2)**3/4
Factor 1/2*x**3 + 1/2*x**5 - x + 3/2*x**2 - 3/2*x**4 + 0.
x*(x - 2)*(x - 1)**2*(x + 1)/2
Let x be (-92)/27*(-9)/6. Let o = -40/9 + x. Factor 0*y**3 + 0*y**2 + 0*y - 2/3*y**4 + o*y**5 + 0.
2*y**4*(y - 1)/3
Let t = 21 - 14. Factor 3*b**2 - 5*b**3 - b**2 + t*b**3.
2*b**2*(b + 1)
Let l(a) be the first derivative of a**3 - 5. Solve l(j) = 0.
0
Suppose -2/3*x + 1/3*x**2 + 0 = 0. Calculate x.
0, 2
Let j(c) be the second derivative of -c**9/15120 - c**8/8400 + c**7/4200 + c**6/1800 - c**3/3 - c. Let g(u) be the second derivative of j(u). Factor g(q).
-q**2*(q - 1)*(q + 1)**2/5
Let p(j) be the third derivative of -j**6/180 - j**5/18 - 2*j**4/9 - 4*j**3/9 + 7*j**2. Factor p(q).
-2*(q + 1)*(q + 2)**2/3
Let n(l) be the third derivative of -l**6/120 - l**5/60 + 21*l**2. Factor n(i).
-i**2*(i + 1)
Let j = -2/4749 - -8979/20579. Let d = j + 3/13. Suppose -1/3 - 5/6*r - 1/6*r**3 - d*r**4 + 2*r**2 = 0. What is r?
-2, -1/4, 1
Solve 0 + 2/3*o - 1/3*o**4 + o**2 + 0*o**3 = 0 for o.
-1, 0, 2
Let y(d) be the third derivative of -d**8/280 - 2*d**7/175 + d**6/25 + 4*d**5/25 - 29*d**2. Determine z so that y(z) = 0.
-2, 0, 2
Find d such that 0*d**3 - 4/7*d**2 + 0*d + 2/7 + 2/7*d**4 = 0.
-1, 1
Let z be 1*1/(-3)*-15. Factor -14*m**z - 6*m**4 - 6*m**3 - 4*m**2 + 10*m**4 + 20*m**4.
-2*m**2*(m - 1)**2*(7*m + 2)
Suppose 0 + 2/3*c**3 + 0*c**2 - 1/3*c**5 - 1/3*c + 0*c**4 = 0. Calculate c.
-1, 0, 1
Let u = 10 + -6. Suppose 0 = 5*q + 4*g - g - 24, 0 = u*q + 2*g - 18. Factor 6*i - 8*i - 3*i**2 - i**3 + 0*i**q.
-i*(i + 1)*(i + 2)
Let f(d) be the first derivative of -d**8/6720 - d**7/1680 - d**6/1440 + d**3/3 - 3. Let j(q) be the third derivative of f(q). Determine p, given that j(p) = 0.
-1, 0
Let f be (-180)/40 + (-1 - -6). Factor 0 - 5/4*y**2 + f*y.
-y*(5*y - 2)/4
Suppose 5*r - 10 = -0. Let t(b) be the second derivative of 0*b**r + 2*b - 1/60*b**5 + 1/18*b**3 - 1/90*b**6 + 0 + 1/36*b**4. Determine l so that t(l) = 0.
-1, 0, 1
Factor 6 + 12*d**2 - 3*d**3 + 1 - 7.
-3*d**2*(d - 4)
Let n(u) = -u**2 + u + 1. Let w(z) = 12*z**2 + 24*z + 56. Let i(o) = 8*n(o) + w(o). Solve i(x) = 0.
-4
Let y(k) be the first derivative of -14/27*k**3 + 4/9*k**4 + 0*k - 2 - 2/15*k**5 + 2/9*k**2. Factor y(s).
-2*s*(s - 1)**2*(3*s - 2)/9
Let m = 49 + -43. Let w(i) be the second derivative of 1/21*i**7 - 2*i + 0 + 0*i**5 + 0*i**4 + 0*i**3 + 0*i**2 + 1/15*i**m. Find t, given that w(t) = 0.
-1, 0
Let t = 3/32 - -107/224. Let -2/7*w**2 - t*w + 0 = 0. What is w?
-2, 0
Let l(y) = -y + 1. Let h be l(-2). Let f be (-308)/(-66)*h/4. Let -f*i - i**2 + 7/2*i**3 + 1 = 0. Calculate i.
-1, 2/7, 1
Let f(q) be the third derivative of q**6/120 + q**5/15 - q**4/24 - 2*q**3/3 + 22*q**2. Find v such that f(v) = 0.
-4, -1, 1
Let i be -1*8/3*1/(-6). Determine r, given that i + 2/9*r - 2/9*r**2 = 0.
-1, 2
Let m(x) = 4*x**2 - x + 1. Let k = -12 + 7. Let c = k + 4. Let y(u) = -u**2 + u - 1. Let p(q) = c*m(q) - 5*y(q). Factor p(w).
(w - 2)**2
Let l(v) be the first derivative of -v**6/14 + 3*v**4/14 - 3*v**2/14 - 5. Factor l(c).
-3*c*(c - 1)**2*(c + 1)**2/7
Solve 1/3*x**2 + 0 + 2/3*x = 0 for x.
-2, 0
Let y(z) be the first derivative of -z**5/240 - z**4/32 - z**3/12 - z**2 - 1. Let f(c) be the second derivative of y(c). Solve f(u) = 0 for u.
-2, -1
Suppose v + 3*j + 21 = 0, -j = 3*v - 0*v + 31. Let b be (-2)/6 - 3/v. Find p, given that b - 1/2*p**2 - 1/2*p = 0.
-1, 0
Let n = -86/3 - -29. Let -2/3*q**2 + 0*q + 5/3*q**3 + 0 - n*q**4 - 2/3*q**5 = 0. Calculate q.
-2, 0, 1/2, 1
Let q(j) be the first derivative of -j**4/8 + 3*j**2/4 + j + 63. Factor q(m).
-(m - 2)*(m + 1)**2/2
Let p(s) be the first derivative of -s**3/3 - s**2 + 1. Factor p(q).
-q*(q + 2)
Suppose 0*f**2 - 10/7*f + 20/7*f**3 + 4/7 - 20/7*f**4 + 6/7*f**5 = 0. What is f?
-2/3, 1
Let g(t) = -t**3 - t**2 - 5*t - 3. Let i(l) = l**3 + 2*l**2 + 5*l + 4. Let w = 5 + -11. Let h(s) = w*g(s) - 5*i(s). Factor h(b).
(b - 2)*(b - 1)**2
Factor -244/9*v + 8 - 28/9*v**2.
-4*(v + 9)*(7*v - 2)/9
Let v(q) be the second derivative of 1/4*q**4 - 1/10*q**6 + 0*q**2 - q + 3/20*q**5 + 0 - 1/2*q**3. Determine g so that v(g) = 0.
-1, 0, 1
Let y(w) be the second derivative of -w**4/18 - 10*w**3/3 - 75*w**2 - w + 15. Find m such that y(m) = 0.
-15
Let g be (19/(-38))/(10/(-4)). Let q(o) be the second derivative of 1/3*o**4 + 0 + o**2 + 7/6*o**3 + 3*o - g*o**5. Suppose q(n) = 0. Calculate n.
-1/2, 2
Let z be 2 - 12/4 - (-7)/3. Factor -d**2 - 4/3*d + 4/3*d**3 + z - 1/3*d**4.
-(d - 2)**2*(d - 1)*(d + 1)/3
Factor 5 + 2*l**2 - 9 + 2*l**2.
4*(l - 1)*(l + 1)
Let c(q) be the third derivative of q**6/40 + q**5/5 - q**4/8 - 2*q**3 - 6*q**2. Determine m so that c(m) = 0.
-4, -1, 1
Let h(p) be the first derivative of 2*p**3/3 - 2*p**2 - 6*p + 7. Factor h(s).
2*(s - 3)*(s + 1)
Let t = -68 - -68. Let d(v) be the third derivative of 0*v + 0 + 0*v**7 + 1/84*v**4 + t*v**3 + 1/1176*v**8 + 0*v**5 + 2*v**2 - 1/210*v**6. Solve d(m) = 0.
-1, 0, 1
Let w(s) be the second derivative of 3/20*s**4 - 3/10*s**2 + 1/5*s**3 + 5*s + 0. Solve w(o) = 0.
-1, 1/3
Let a(z) be the third derivative of 0*z**3 + 1/3*z**4 + 0*z + 2*z**2 + 1/105*z**7 + 0 - 1/20*z**6 + 0*z**5. Factor a(d).
2*d*(d - 2)**2*(d + 1)
Let -4/3*x - 2/3*x**4 + 2*x**2 + 0 + 0*x**3 = 0. Calculate x.
-2, 0, 1
Let p = 1905/7 + -272. Find a such that 0 - p*a + 1/7*a**2 = 0.
0, 1
Let 1/2 - i**2 + 1/2*i**4 + 1/4*i + 1/4*i**5 - 1/2*i**3 = 0. What is i?
-2, -1, 1
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