r q(d).
-2*d*(d - 2)*(d - 1)*(d + 1)/5
Let w be (116/145 + 4/(-10))/2. Factor 6/5*d - w*d**2 + 7/5.
-(d - 7)*(d + 1)/5
Let b(k) be the first derivative of 5 - 2/3*k**3 + 1/2*k**2 + 0*k. Factor b(w).
-w*(2*w - 1)
Let h = 156 - 156. Let d(n) be the second derivative of h*n**2 + 0 - 1/15*n**3 - 5*n + 1/30*n**4. Factor d(y).
2*y*(y - 1)/5
Let b be 1 - 24/21 - 880/(-280). Let p(c) be the first derivative of 2*c + 3/2*c**2 + 5 + 1/3*c**b. Factor p(y).
(y + 1)*(y + 2)
Let t(k) = 3*k**2 - 2*k + 2. Suppose -2*s - 28 = -6*s. Let b be t(s). Let 14 - 2*r**3 + 72*r - 2 + b*r**2 + 77*r**3 = 0. Calculate r.
-1, -2/5
Let t(r) = -r**3 + 5*r**2 + 37*r + 31. Let k be t(-1). Factor n**3 + 4/3*n**4 + 1/3*n**5 - 4/3*n + k - 4/3*n**2.
n*(n - 1)*(n + 1)*(n + 2)**2/3
Let x be ((-250)/875)/(2/(-14)). Let o be (-1)/(-4) - (-2)/(-8). Factor o*a + 2/5 - 2/5*a**x.
-2*(a - 1)*(a + 1)/5
Let l(c) be the first derivative of 4*c**5/5 + 9*c**4 + 28*c**3/3 - 18*c**2 - 32*c - 22. Factor l(f).
4*(f - 1)*(f + 1)**2*(f + 8)
Suppose -10 = 2*u - 7*u. Let l be (-4)/(-6) + 1807/39. Factor 49*f - 5*f + 60*f + l*f**2 - 19*f**u - 32.
4*(f + 4)*(7*f - 2)
Suppose 3*n - 6 - 7 = u, -10 = -2*n. Factor -b + 19*b - 3*b**u + 7 - 22.
-3*(b - 5)*(b - 1)
Let k(o) be the first derivative of 2*o**3/45 + 6*o**2/5 + 4. Factor k(c).
2*c*(c + 18)/15
Let b(r) = 8*r**2 - 2*r. Let p(l) = -l**2 + l. Let w(q) = -7*q + 41. Let y be w(5). Let z(i) = y*p(i) + b(i). Factor z(a).
2*a*(a + 2)
Let h = 5 + 1. Let t be (h/5)/((-16)/(-40)). Factor -5*j + j**3 - j + t*j + 2*j**2.
j*(j - 1)*(j + 3)
Factor -363/4 - 3/4*x**2 + 33/2*x.
-3*(x - 11)**2/4
Let h(a) be the second derivative of a**6/120 + a**5/40 - a**4/48 - a**3/12 + 55*a. Find i such that h(i) = 0.
-2, -1, 0, 1
Factor -1/4*q**5 + 4*q**4 - 15/4*q**3 + 0 + 0*q**2 + 0*q.
-q**3*(q - 15)*(q - 1)/4
Let g(u) be the first derivative of 0*u - 7 - 2/21*u**3 + 0*u**2 + 1/14*u**4. Factor g(t).
2*t**2*(t - 1)/7
Let o(v) be the third derivative of -5*v**2 - 1/72*v**4 + 1/60*v**5 - 1/6*v**3 + 0 + 0*v + 1/360*v**6. Solve o(d) = 0.
-3, -1, 1
Suppose 31*v + 156 = 109*v. Find h such that 0 + 1/4*h - 1/4*h**v = 0.
0, 1
Let u(g) be the first derivative of 2*g**5/115 + 10*g**4/23 - 8*g**3/3 - 1920*g**2/23 + 18432*g/23 - 238. Let u(q) = 0. Calculate q.
-16, 6
Let z(o) be the third derivative of 5*o**6/12 + 7*o**5/12 - 115*o**4/24 + 5*o**3 + 125*o**2. Find r, given that z(r) = 0.
-2, 3/10, 1
Let c(h) = -14*h**2 - 14*h - 17. Let v(r) = 2*r + 6. Let i be v(0). Let w(k) = -5*k**2 - 5*k - 6. Let o(f) = i*c(f) - 17*w(f). Factor o(d).
d*(d + 1)
Let p = -222 + 236. Let j be (-6 + p/2)/(4/6). What is r in 6*r + 6 + j*r**2 = 0?
-2
Let i(q) be the second derivative of q**7/2520 + q**6/360 + q**5/120 - 5*q**4/3 + 33*q. Let g(l) be the third derivative of i(l). Suppose g(h) = 0. Calculate h.
-1
Let 98/5*b**5 - 336/5*b**4 + 0 - 312/5*b**2 - 8*b - 706/5*b**3 = 0. Calculate b.
-1, -2/7, 0, 5
Let b(n) be the first derivative of 13*n**3/3 - 13*n**2/2 - 14. Let u(t) = -32*t**2 + 32*t. Let a(l) = 12*b(l) + 5*u(l). Let a(j) = 0. Calculate j.
0, 1
Suppose 44 = -0*v - 4*v. Let n = 13 + v. Determine r so that 2*r**2 - 6*r**3 - 8*r**2 + 6*r - 3*r**n = 0.
-2, 0, 1/2
Let l(a) be the third derivative of a**6/80 + 7*a**5/40 - a**4/16 - 7*a**3/4 - 3*a**2 - 26*a. Factor l(n).
3*(n - 1)*(n + 1)*(n + 7)/2
Let o(w) be the third derivative of w**9/3024 + w**8/630 + w**7/420 - w**5/360 + 3*w**3/2 + 26*w**2. Let x(t) be the first derivative of o(t). Factor x(h).
h*(h + 1)**3*(3*h - 1)/3
Suppose 10*d + 0 = -10. Let p be d*2/(-15)*(-18 - -27). Let -6/5*c + 2/5*c**4 + 2/5*c**2 - 4/5 + p*c**3 = 0. Calculate c.
-2, -1, 1
Let 1/6*h**2 + 29/6*h - 22 = 0. Calculate h.
-33, 4
Let x(q) be the third derivative of -q**5/540 - q**4/8 + 14*q**3/27 + 3*q**2 - 3*q. Suppose x(i) = 0. Calculate i.
-28, 1
Let z = -50 - -52. Factor -515*j**4 - 38*j**2 + 378*j**3 - 3587*j**z + 2097*j**3 + 35*j**5 - 1250*j.
5*j*(j - 5)**3*(7*j + 2)
Let g be ((35/2)/5)/((-2716)/(-1164)). Factor 2 + g*u - 1/2*u**2.
-(u - 4)*(u + 1)/2
Suppose 0 = 2*r + 1643 - 1655. Let m(d) be the first derivative of -r - 1/4*d**4 + 1/2*d**2 + d - 1/3*d**3. Suppose m(w) = 0. Calculate w.
-1, 1
Suppose -6*n**4 + 196/5*n + 138/5*n**2 + 48/5 - 64/5*n**3 = 0. What is n?
-3, -4/5, -1/3, 2
Find l, given that -269*l**5 - 160*l**2 + 25*l**4 + 20*l**4 - 15*l**4 + 274*l**5 = 0.
-4, 0, 2
Suppose 26*u + 222 - 300 = 0. What is g in 2/7 - 2/7*g**5 - 4/7*g**u + 4/7*g**2 + 6/7*g - 6/7*g**4 = 0?
-1, 1
Let u(d) be the third derivative of -d**7/7140 - d**6/3060 + d**5/510 + 13*d**3/6 - 28*d**2. Let r(z) be the first derivative of u(z). Factor r(w).
-2*w*(w - 1)*(w + 2)/17
Let p be (-34)/4 + 8 - (-4)/6. Let g(y) be the second derivative of 1/20*y**5 + 0*y**2 + 0 + 1/6*y**3 + 4*y + p*y**4. Factor g(i).
i*(i + 1)**2
Suppose 0 = 5*t - 3*t - 10. Suppose -s + 2*z + 16 = 0, s + t*z = 2*s - 31. Factor -b**3 + 3*b**3 + 3 - s*b**2 + 5.
2*(b - 2)**2*(b + 1)
Let t(s) = s**3 - 2. Let o(w) = -2*w**3 + 26*w**2 + 49*w + 30. Let f(r) = o(r) + 3*t(r). Suppose f(g) = 0. What is g?
-24, -1
Let v(c) be the second derivative of 0 + 2/3*c**3 - 1/9*c**4 + 8*c - 4/3*c**2. Suppose v(h) = 0. Calculate h.
1, 2
Let i(x) = -x**2 + 12*x - 1. Let m be i(5). Factor -b - m + 100 - 31*b + 62 + 2*b**2.
2*(b - 8)**2
Let x(i) be the first derivative of i**6/90 - 2*i**5/15 + 2*i**4/3 - 19*i**3/3 - 16. Let o(y) be the third derivative of x(y). Factor o(v).
4*(v - 2)**2
Let s(y) = -5*y**3 + 15*y**2 - 15*y + 7. Suppose 3*j + 19 = -4*o, 5*j - 17 + 6 = 4*o. Let n(i) = 1. Let t(z) = j*s(z) + 2*n(z). Factor t(h).
5*(h - 1)**3
Suppose 4*x = x + 27. Suppose -x*w = -14*w + 10. Factor -3*u**2 + u**w - 2*u + u**2.
-u*(u + 2)
Let a = 62 - 64. Let z be 20/(-15) - (-5 - 6/a). Suppose -2/3*k**3 + 4/3*k**2 + 0 - z*k = 0. Calculate k.
0, 1
Let x(h) be the third derivative of h**7/35 + h**6/15 - 2*h**5/15 - 473*h**2. Determine k so that x(k) = 0.
-2, 0, 2/3
Let g be (-4)/10*(24 - 29). Determine l, given that 4*l**3 - 25*l - 3*l - 8 - 28*l**2 + 8*l**4 + 4*l**g = 0.
-1, -1/2, 2
Let p = -10 + 18. Let l = p - 5. Solve -8*g**2 + 4*g**3 + 0*g**2 - g + 8 - l*g + 0*g**2 = 0 for g.
-1, 1, 2
Suppose -18 = 3*n - 9*n. Suppose 10 = -4*a - 5*v + 47, n*a - 4*v = -11. Factor 2/5*j**2 + 0 + 4/5*j - 2/5*j**a.
-2*j*(j - 2)*(j + 1)/5
Let t be ((-122)/(-61))/((-6)/(-9)). Let j(a) be the first derivative of 1/8*a**4 - 2 + 1/4*a**2 + 0*a - 1/3*a**t. Determine f so that j(f) = 0.
0, 1
Let n(u) be the third derivative of 11449*u**5/24 + 535*u**4/12 + 5*u**3/3 - 225*u**2. What is h in n(h) = 0?
-2/107
Let g(b) be the third derivative of b**6/420 - b**5/210 - 5*b**4/42 - 8*b**3/21 - 28*b**2 + 1. Let g(s) = 0. Calculate s.
-2, -1, 4
Let q(s) be the second derivative of 12*s + 0 + 5/3*s**2 + 1/24*s**5 + 0*s**3 - 5/24*s**4. Factor q(t).
5*(t - 2)**2*(t + 1)/6
Let o be 8 + (-28 - -23) + (-18)/10. Suppose 9/5*r**2 - 21/5*r**3 + o + 21/5*r - 3*r**4 = 0. What is r?
-1, -2/5, 1
Let g = 20180 + -20178. Factor -3/4 + 9/2*d - 15/4*d**g.
-3*(d - 1)*(5*d - 1)/4
Let z(u) be the third derivative of -1/15*u**4 + 7*u**2 - 1/30*u**5 + 1/150*u**6 + 0*u + 1/5*u**3 + 0. Let z(o) = 0. Calculate o.
-1, 1/2, 3
Let w(u) be the third derivative of u**7/735 + u**6/140 + u**5/210 - u**4/28 - 2*u**3/21 + u**2 + 91. Factor w(o).
2*(o - 1)*(o + 1)**2*(o + 2)/7
Let d(j) be the first derivative of 243/8*j + 3/2*j**4 + 47 - 27*j**2 + 3/40*j**5 + 23/4*j**3. Determine t, given that d(t) = 0.
-9, 1
Suppose -4*a + 23 = -3*z, -4*z - 2 + 3 = a. Let f(s) be the third derivative of 1/4*s**4 + 0 + 1/20*s**a + 1/2*s**3 + 6*s**2 + 0*s. Factor f(p).
3*(p + 1)**2
Let l(o) be the third derivative of o**7/105 + o**6/40 - o**4/24 - 137*o**2. Factor l(r).
r*(r + 1)**2*(2*r - 1)
Let q(b) = -8*b**2 - 57*b + 18. Let z(k) = -4*k**2 - 28*k + 8. Let a(s) = -4*q(s) + 9*z(s). Factor a(x).
-4*x*(x + 6)
Let y be 3*(-3 - 25/(-3)). Suppose -3*i = -2*k + y, 8*i = -3*k + 4*i - 10. Factor 8*n**2 - 8*n + 2*n**4 + k + 4*n**2 + 0 - 8*n**3.
2*(n - 1)**4
Let x(d) be the third derivative of -d**6/60 - 15*d**5/2 - 5625*d**4/4 - 140625*d**3 + 537*d**2. Determine h so that x(h) = 0.
-75
Suppose 76 = 9*u - 5*u. Let h = -13 + u. Factor -6 - 6*a - h*a - 6*a - 21 - 3*a**2.
-3*(a + 3)**2
Let i = 2/119 - -347/595. Let p(t) be the second derivative of -1/2*t