**4 - 14/5*q**2 + 4/5*q**3 - 16/5*q + 24/5 = 0. Calculate q.
-3, -2, 1, 2
Let z(a) be the first derivative of 0*a + 29 - a**2 - a**3 - 1/4*a**4. Determine g, given that z(g) = 0.
-2, -1, 0
Factor 87/2*n**2 + 2523/4*n + 0 + 3/4*n**3.
3*n*(n + 29)**2/4
Suppose -110 = -7*s - 82. Factor -2/9*p**3 + 0 + 2/9*p**s - 2/9*p**2 + 2/9*p**5 + 0*p.
2*p**2*(p - 1)*(p + 1)**2/9
Let s(z) = -3*z - 22. Let x be s(-9). Factor 2*b**2 - 5*b**2 - 3*b**3 + 2*b**2 + 9*b - x*b**2.
-3*b*(b - 1)*(b + 3)
Suppose -3*k - g + 4 = 0, 2*k - 2*g - 4 = 4. Let o(f) be the first derivative of -k*f - 13*f**2 - 6*f + 7 + 19*f**2 - f**4. Factor o(h).
-4*(h - 1)**2*(h + 2)
Factor 3*l**3 - 2*l - 4*l**2 - 19*l - 2*l**3 + l - 4*l**2.
l*(l - 10)*(l + 2)
Let f(s) be the third derivative of s**8/672 - s**7/70 + s**6/30 + s**5/20 - 3*s**4/16 + 985*s**2. Let f(l) = 0. Calculate l.
-1, 0, 1, 3
Let u(c) be the first derivative of c**4 + 0*c**5 + 0*c - 1/3*c**6 - c**2 + 27 + 0*c**3. Factor u(a).
-2*a*(a - 1)**2*(a + 1)**2
Let f(j) be the third derivative of -j**5/90 + 13*j**4/36 - 32*j**2 - j. Factor f(o).
-2*o*(o - 13)/3
Factor 3/5*w**4 - 132/5*w - 144/5 - 12/5*w**2 + 3*w**3.
3*(w - 3)*(w + 2)**2*(w + 4)/5
Factor 78 + 28*x + 2/3*x**2.
2*(x + 3)*(x + 39)/3
Find q such that 4/5 - 34/15*q + 2*q**2 - 2/15*q**4 - 2/5*q**3 = 0.
-6, 1
Let n(v) = v**2 + 5*v - 6. Let l = 26 - 32. Let t be n(l). Solve 0*y + 3/2*y**3 + 3*y**4 + t - 3/2*y**2 = 0 for y.
-1, 0, 1/2
Let n = 21/865 - -781/3460. Suppose 16 = 3*x + f, 4*x + f - 2 - 19 = 0. Solve 1/4 + n*u**x - 1/2*u**2 + 1/4*u**4 - 1/2*u**3 + 1/4*u = 0.
-1, 1
Let b(r) = 3*r - 16. Let z be b(6). Let a be (-3)/(-6) + (z - (-10)/(-4)). Factor 2/3*s + a - 2/3*s**2.
-2*s*(s - 1)/3
Let k = -4 + 9. Suppose -c = -k*w + 20, c = 3*w - 2*c - 24. Solve 0*i**3 + 5*i**3 + 4*i**2 + i**4 - i**w = 0.
-2, 0
Let t = 171 + -1025/6. Factor -1/3 + t*m + 1/6*m**2.
(m - 1)*(m + 2)/6
Let y(n) be the second derivative of 0 + 3/20*n**5 + 1/14*n**7 - 3/4*n**4 + 3/10*n**6 - n**3 + 0*n**2 - n. Factor y(l).
3*l*(l - 1)*(l + 1)**2*(l + 2)
Let s be 6 + (-4)/(0 + 2). Suppose 5*i - 2 = -a + 99, 0 = -2*a - 8. Suppose -i*b - 2*b**3 + 2 - 3*b**3 + 9*b**2 + 14*b + b**s = 0. Calculate b.
1, 2
Suppose 5*b - 15 - 8 = 2*w, -24 = -4*b + 3*w. Suppose 3/4*c**b - 3/4*c - 3/4*c**2 + 3/4 = 0. Calculate c.
-1, 1
Suppose 5*o - 17 + 7 = 0. Let z be 12/4 + (-6)/(o/1). Factor 1/4*b**4 - 1/2*b + z + 0*b**3 - 3/4*b**2.
b*(b - 2)*(b + 1)**2/4
Let g(j) be the third derivative of 2*j**7/315 + 16*j**6/45 + 256*j**5/45 - 4*j**2 - 7*j. Suppose g(t) = 0. What is t?
-16, 0
Let w(p) = -p**3 + 6*p**2 + 3*p - 1. Let a = 15 + 29. Let c(z) = -8*z**3 + 42*z**2 + 20*z - 8. Let y(s) = a*w(s) - 6*c(s). Suppose y(f) = 0. Calculate f.
-1
Let u(w) be the third derivative of -w**8/112 - 3*w**7/35 - 3*w**6/10 - 2*w**5/5 + 39*w**2. Factor u(v).
-3*v**2*(v + 2)**3
Find f, given that 3*f**2 + 100*f + 28*f**3 - 2*f**2 - 2*f**2 - 32 + 9*f**2 - 212*f = 0.
-2, -2/7, 2
Let s be 360/(-220)*4/(-12). Solve s - 8/11*x + 2/11*x**2 = 0.
1, 3
Suppose -4*n + 3015 = 3003. Let v(l) be the first derivative of 10 - 1/4*l**2 + l - 1/3*l**n + 1/8*l**4. Factor v(h).
(h - 2)*(h - 1)*(h + 1)/2
Let y = 1269/4 - 317. Let o = 97/2 + -193/4. Find n, given that 0*n**2 + 0*n + o*n**3 + 0*n**4 + 0 - y*n**5 = 0.
-1, 0, 1
Let m(n) = 0*n**3 + 4 + 3*n - 3*n**3 - n**2 - 3 + 4. Let g(s) = -10*s**3 - 4*s**2 + 8*s + 16. Let z = 5 + -3. Let t(f) = z*g(f) - 7*m(f). Factor t(a).
(a - 3)*(a + 1)**2
Let j(g) = -3*g**3 + 3*g**2 + 10*g - 1. Let k(x) = 2*x**3 - x**2 - 5*x + 1. Let f(y) = -3*j(y) - 5*k(y). Solve f(n) = 0 for n.
-2, -1
Suppose 2*s - 22 = 3*w, 14 = -2*s + 4*s - w. What is g in 3/8*g + 3/2*g**s + 0 + 39/8*g**4 + 21/8*g**2 + 45/8*g**3 = 0?
-1, -1/4, 0
Let p(c) be the third derivative of -c**5/360 + 137*c**4/144 - 34*c**3/9 - 199*c**2. Determine i so that p(i) = 0.
1, 136
Let y(g) be the third derivative of -g**10/14112 + 17*g**9/35280 - 3*g**8/7840 + 7*g**4/8 - 13*g**2. Let h(a) be the second derivative of y(a). Factor h(m).
-3*m**3*(m - 3)*(5*m - 2)/7
Solve -16 - 248/3*n - 412/3*n**2 - 242/3*n**3 - 10*n**4 = 0 for n.
-6, -1, -2/3, -2/5
Let q(j) = -2*j**5 - 9*j**4 + 54*j**3 - 89*j**2 + 60*j. Let l(k) = 3*k**5 + 8*k**4 - 55*k**3 + 88*k**2 - 60*k. Let c(g) = 3*l(g) + 4*q(g). Factor c(i).
i*(i - 5)*(i - 3)*(i - 2)**2
Let f(j) be the second derivative of -j**9/6048 - j**8/896 + j**6/72 + 9*j**4/4 + 14*j. Let y(k) be the third derivative of f(k). Factor y(a).
-5*a*(a - 1)*(a + 2)**2/2
Let s be -34 - (-6)/(-1 + 4). Let a be (-5 + 414/84)*s. Factor 36/7*r**3 - 48/7*r**2 + 0 + a*r.
4*r*(3*r - 2)**2/7
Let c be 58/85 - (1368/(-68) - -20). Factor 22/5*a - c - 18/5*a**2.
-2*(a - 1)*(9*a - 2)/5
Let h(v) be the first derivative of -2*v**5/15 - 2*v**4/3 + 14*v**3/9 + 22*v**2/3 - 16*v - 270. Determine p so that h(p) = 0.
-4, -3, 1, 2
Let i(s) = -s**5 + s**4 - s**3 + s + 1. Let m(k) = k**5 + 3*k**4 + 65*k**3 + 130*k**2 + 105*k + 29. Let r(d) = 3*i(d) + m(d). Suppose r(v) = 0. Calculate v.
-2, -1, 8
Let g(p) = 3 + 1 + p + 3 - 6. Let x be g(-1). Find l, given that 0*l**3 + 2*l**5 + 0*l**4 + x*l**4 - 4*l**3 + 2*l = 0.
-1, 0, 1
Let p(k) = k**3 - 9*k**2 + 6*k + 16. Let c be p(9). Let w = c - 68. Factor 4/5*n + 4/5 + 1/5*n**w.
(n + 2)**2/5
Suppose m = 2*m - k - 3, -3*m = -2*k - 6. Suppose -5*w + l = -m*w - 1, 2*l - 7 = w. Solve -w - 3 + 4 - 1 + v**2 = 0 for v.
-1, 1
Let b = 23 - 22. Let m(u) = -u**4 - u**2 - u + 1. Let x(r) = 3*r**2 - 1 + 4 - 17*r**4 + 12*r**4 + r. Let t(v) = b*x(v) - 3*m(v). Factor t(c).
-2*c*(c - 2)*(c + 1)**2
Let o(a) be the second derivative of -2/9*a**3 + 4*a + 0*a**2 + 10 - 1/9*a**4. Factor o(d).
-4*d*(d + 1)/3
Let h be ((-13)/65)/(2/(-3))*15/9. Find t, given that -t**4 - 1/4*t**5 + 0 + 0*t - 5/4*t**3 - h*t**2 = 0.
-2, -1, 0
Suppose 4/11*h**3 - 4/11*h + 8/11*h**2 - 6/11*h**4 - 2/11 = 0. Calculate h.
-1, -1/3, 1
Factor -40/21 - 2/3*c**2 - 2/21*c**3 + 8/3*c.
-2*(c - 2)*(c - 1)*(c + 10)/21
Let h(a) = -3*a**3 + 18*a**2 + 27*a + 12. Suppose -3*k - 20 - 34 = 0. Let q(d) = d**2 + d + 1. Let i(t) = k*q(t) + h(t). Factor i(r).
-3*(r - 1)**2*(r + 2)
Suppose -3*c + 3*w + 76 = -2*w, -108 = -3*c - 3*w. Suppose c = 16*u - 16. Factor 1/2 - r**2 + 1/4*r - 3/4*r**u.
-(r + 1)**2*(3*r - 2)/4
Let j(i) be the second derivative of i**4/21 - i**3/21 - 9*i + 1. Factor j(w).
2*w*(2*w - 1)/7
Let -210*c**2 - 6*c**3 - 3*c**3 + 4*c**3 - 2950*c + 745*c = 0. Calculate c.
-21, 0
Let q(s) = s**3 - 4*s**2 - 13*s - 4. Let h be q(6). Let j(t) = t + 12. Let w be j(h). Find n, given that -15/7*n**3 - 9/7*n**w + 6/7*n + 0 = 0.
-1, 0, 2/5
Let u(w) = 3*w**4 - 3*w - 3. Let f(z) be the third derivative of -z**5/60 + z**4/24 + z**3/6 - 4*z**2. Let c(n) = -3*f(n) - u(n). Find j such that c(j) = 0.
-1, 0, 1
Let i = -141/2 + 427/6. Let o(s) be the first derivative of 2*s**2 + 1 - 2*s - i*s**3. Find k such that o(k) = 0.
1
Suppose -4*k + 28 = -5*v, 5*v + 23 = 3. Let b(h) be the first derivative of 3 - 1/6*h**3 + 3/2*h - 1/2*h**k. Solve b(f) = 0 for f.
-3, 1
Let q(x) be the second derivative of -2/21*x**3 - 1/105*x**6 + 0*x**2 + 0*x**5 - 5*x + 1/14*x**4 + 0. Suppose q(g) = 0. What is g?
-2, 0, 1
Let g be (-13)/52 + -2*74/(-16). Factor -5*l**2 + 6*l + 0*l - g + 4*l**2 + 4*l**2.
3*(l - 1)*(l + 3)
Let k = 123 + -1102/9. Let g(o) be the first derivative of 2/3*o - k*o**3 + 1/2*o**2 + 9. Factor g(b).
-(b - 1)*(5*b + 2)/3
Let g(s) be the second derivative of s**7/28 + s**6/10 - 9*s**5/40 - s**4 - s**3 - 488*s. Find k such that g(k) = 0.
-2, -1, 0, 2
Let w(o) be the third derivative of -o**6/160 + 11*o**5/40 - 5*o**4 + 48*o**3 - 8*o**2. Find d such that w(d) = 0.
6, 8
Let d = 4 - -1. Let p be (6 - d)/((-2)/(-14)). Factor -t + p*t + t**2 + 2*t**2.
3*t*(t + 2)
What is i in -3/7*i**2 - 60/7 - 9*i = 0?
-20, -1
Factor 2304/7 + 4/7*m**2 + 192/7*m.
4*(m + 24)**2/7
Let v(g) be the second derivative of 2*g**6/45 + 7*g**5/15 - 20*g**4/9 - 88*g**3/3 + 96*g**2 - g - 28. Factor v(a).
4*(a - 4)*(a - 1)*(a + 6)**2/3
Let d(o) = 118*o - 42. Let p be d(7). Let s = p + -3906/5. Factor -4/5*m + 0 + s*m**3 - 2*m**2.
2*m*(m - 1)*(7*m + 2)/5
Suppose 29*s - 21 = 28*s - 3*f, -4*f = 4*s - 44. Factor 0*j + s*j**3 + 0 + 3/2*j**2.
3*j**2*(4*j + 1)/2
Let k(a) be the second derivative of 11*a**4/36 - 7*a**3/3 - 4*a**2/3 + 64*a. Factor k(v).
(v - 4)*(11*