i - 1)*(i + 1)**2*(i + 2)/9
Let i be -4 + 6 - ((-5867)/(-6735) - -1). Let y = 2/449 + i. Suppose 2/5 - 4/15*d - y*d**2 = 0. What is d?
-3, 1
Let m(p) be the third derivative of -p**8/168 + p**7/21 - 7*p**6/60 - p**5/30 + 2*p**4/3 - 4*p**3/3 - 806*p**2. Solve m(a) = 0 for a.
-1, 1, 2
Factor 0 + 14/3*q + 4*q**2 - 2/3*q**3.
-2*q*(q - 7)*(q + 1)/3
Let d(s) be the first derivative of -1/30*s**6 + 0*s**3 + 0*s - 13/2*s**2 + 2/15*s**5 - 14 - 1/6*s**4. Let z(q) be the second derivative of d(q). Factor z(i).
-4*i*(i - 1)**2
Let -14*y**4 + 10*y**4 + 72 - 10*y**4 - 84*y - 42*y**2 + 81*y**3 + 3*y**5 - 16*y**4 = 0. Calculate y.
-1, 1, 2, 6
Suppose q - 5*d = -12, -d + 6 = q - 0. Let t be (88 + -87)*(-1)/8*-2. Factor 19/2*g**2 + 2*g**4 - 25/4*g**q - 7*g + 2 - t*g**5.
-(g - 2)**3*(g - 1)**2/4
Let v(r) = r**2 + 7*r + 9. Let o be v(-6). Suppose -q = -o*q + 4. Factor -4*n**2 - 2*n**2 + 18 - 12*n + 5*n**q + 3*n**2.
2*(n - 3)**2
Let h(a) be the third derivative of a**7/420 + a**6/180 - 7*a**3/3 - 7*a**2. Let k(p) be the first derivative of h(p). Find i, given that k(i) = 0.
-1, 0
Let m(i) = -i**3 - 3*i**2 - 2*i - 3. Let g be m(-3). Factor -3*j**2 + 3*j**2 - 5*j**5 + 2*j**5 + 3*j**2 + g*j**3 - 3*j**4.
-3*j**2*(j - 1)*(j + 1)**2
Let x(s) be the third derivative of 0 + 0*s**3 + 3/112*s**8 - 3*s**2 - 9/20*s**5 + 1/4*s**4 + 0*s + 3/8*s**6 - 11/70*s**7. Factor x(a).
3*a*(a - 1)**3*(3*a - 2)
Let z(s) = 78*s + 471. Let n be z(-6). Let b(t) be the second derivative of 0 + 0*t**2 + 1/3*t**3 - 1/6*t**4 - n*t. Let b(o) = 0. What is o?
0, 1
Let g = 535/4 - 3737/28. Let l = -2/249 + 1010/1743. What is d in -l*d**3 + d**2 - g*d - 1/7 = 0?
-1/4, 1
Let k(y) be the third derivative of 5*y**8/336 - y**6/12 + 5*y**4/24 + 2*y**2 + 9*y. Suppose k(b) = 0. Calculate b.
-1, 0, 1
Factor 44*r - 47 + 7*r + 11 - 15*r**3 + 3*r**2 - 3*r**4.
-3*(r - 1)**2*(r + 3)*(r + 4)
Let 7 + 108*j - 52*j + 2*j**2 - 62*j - 63 = 0. What is j?
-4, 7
Let z(f) = -3*f**3 - 6*f**2 - 3*f - 4. Let p be (-22)/(-121) - (-92)/(-22). Let r(s) = -2*s**3 - 5*s**2 - 3*s - 3. Let w(i) = p*r(i) + 3*z(i). Factor w(y).
-y*(y - 3)*(y + 1)
Let h = -18 - -25. Let r(i) = 9*i - 5 - 4*i + 0*i**3 + 2*i**3 - 2*i**2. Let p(m) = -2*m**3 + 2*m**2 - 4*m + 4. Let b(q) = h*p(q) + 6*r(q). Factor b(n).
-2*(n - 1)**2*(n + 1)
Suppose 4*u = -4*n - 0 - 4, 0 = 5*u + 2*n - 4. Find l, given that 4/19*l**3 + 2/19*l**u + 0*l + 0 + 2/19*l**4 = 0.
-1, 0
Let o(m) be the third derivative of -m**7/42 + m**6/12 - m**5/12 - 557*m**2. Factor o(l).
-5*l**2*(l - 1)**2
Let b(r) be the first derivative of -r**6/900 - r**5/450 + 9*r**2 + 13. Let w(f) be the second derivative of b(f). Factor w(o).
-2*o**2*(o + 1)/15
Suppose -3*d - 40 = -46. Suppose -4*o + 16 = -5*r, 3*o - 2*r - 10 = d. Suppose 0 + 3*z**2 + 0*z + 45/2*z**5 - 24*z**o - 3/2*z**3 = 0. Calculate z.
-1/3, 0, 2/5, 1
Let i be (-71882)/(-2794) + (-50)/2. Suppose -2/11*f**2 + i + 0*f = 0. What is f?
-2, 2
Let t(g) be the first derivative of 4*g**3/3 + 14*g**2 + 48*g - 37. Solve t(r) = 0 for r.
-4, -3
Let p(n) be the first derivative of n**6/960 + n**5/320 - n**4/32 + 5*n**3/3 + 3. Let l(z) be the third derivative of p(z). Factor l(c).
3*(c - 1)*(c + 2)/8
Find w such that -3*w**5 + 9*w**2 - w**3 - 9*w**4 + 21 - 21 + 4*w**3 = 0.
-3, -1, 0, 1
Let i = -2387 + 2389. Factor 3 + 3/2*a**4 - 9/2*a**i + 3/2*a - 3/2*a**3.
3*(a - 2)*(a - 1)*(a + 1)**2/2
Factor -6/7*p**2 + 174/7 + 24*p.
-6*(p - 29)*(p + 1)/7
Let p(x) be the second derivative of -3*x**5/40 - 43*x**4/8 + x**3/4 + 129*x**2/4 + 64*x + 1. Factor p(g).
-3*(g - 1)*(g + 1)*(g + 43)/2
Factor -27/5*n - 54/5 - 3/5*n**3 + 24/5*n**2.
-3*(n - 6)*(n - 3)*(n + 1)/5
Let x(c) be the first derivative of c**4/2 - 8*c**3/3 - 11*c**2 - 12*c + 72. Factor x(a).
2*(a - 6)*(a + 1)**2
Let v = -12 - -10. Let i be -4 - -8 - v/(-1). Determine z so that z - 3*z + 6*z + 0*z + i*z**2 = 0.
-2, 0
Let o = 746 - 738. Let l(x) be the first derivative of 3/4*x**2 + o - 3/4*x - 1/4*x**3. Factor l(r).
-3*(r - 1)**2/4
Let d(i) be the first derivative of -i**5/15 - 23*i**4/12 - 143*i**3/9 - 121*i**2/6 - 161. What is l in d(l) = 0?
-11, -1, 0
Let s(c) be the third derivative of c**7/1575 + c**6/180 + 2*c**5/225 - 142*c**2. Factor s(b).
2*b**2*(b + 1)*(b + 4)/15
Suppose 3*p = -2*f + 77, 195 - 81 = 4*f - 2*p. Suppose -6*l + 4*l - 6 = 4*o, -4*o + 29 = -5*l. Determine z so that o - 1 + 30*z + z**2 - f*z = 0.
0, 1
Suppose 11*f - 10 = 12. Let c(m) be the third derivative of f*m**2 - 1/360*m**5 + 1/72*m**4 + 0 + 0*m + 0*m**3. Factor c(z).
-z*(z - 2)/6
Let s(m) be the third derivative of m**5/30 + 20*m**4/3 + 1600*m**3/3 - 27*m**2 - 1. Factor s(x).
2*(x + 40)**2
Let r(n) be the second derivative of n**6/20 - n**5/2 + 139*n**4/72 - 34*n**3/9 + 4*n**2 + 27*n. Factor r(o).
(o - 3)*(o - 1)*(3*o - 4)**2/6
Suppose -9*b + 42 = 12*b. Let f(g) be the third derivative of 1/120*g**6 + 1/60*g**5 + 0*g + 0*g**4 - 5*g**b + 0*g**3 + 0. Suppose f(z) = 0. Calculate z.
-1, 0
Let o = -10 - -14. Let d = o + 0. Factor 6*n**2 + 30*n**3 + 4*n**2 - 3 + 27*n**5 - 63*n**d - 9*n + 8*n**2.
3*(n - 1)**3*(3*n + 1)**2
Let z = -96 + 155. Suppose -z = -3*f + 4. Let n(x) = -6*x**2 - x + 7. Let k(m) = -m**2 + 1. Let h(a) = f*k(a) - 3*n(a). Factor h(r).
-3*r*(r - 1)
Let v(k) be the second derivative of 13*k**4/4 - 27*k**3/2 + 3*k**2 + 79*k. Factor v(x).
3*(x - 2)*(13*x - 1)
Let l = -603 + 1814/3. Determine x, given that l*x**2 + 5/3*x - 10/3 = 0.
-2, 1
Suppose 6*v = 172*v - 332. Solve 16/3*x + 4/3 - 3*x**v = 0 for x.
-2/9, 2
Suppose 996 = 46*s + 37*s. Factor 4/3*u**2 + 0 + 16/3*u**5 + 44/3*u**4 + s*u**3 - 4/3*u.
4*u*(u + 1)**3*(4*u - 1)/3
Let c(m) = 3*m**3 + 9*m**2 - 15*m + 9. Let p = 25 - 10. Suppose -p = -4*t + t. Let q(v) = 2*v**3 + 9*v**2 - 14*v + 8. Let z(r) = t*c(r) - 6*q(r). Factor z(s).
3*(s - 1)**3
Suppose 2*r - 16 = 2*w, 36*r + 5*w - 24 = 25*r. Suppose 0*z + 1/10*z**3 + 0 - 1/10*z**2 + 1/10*z**r - 1/10*z**5 = 0. Calculate z.
-1, 0, 1
Let p = -66 - -68. Factor -2*n**2 + 133 - 75 - 3*n**p - 100*n - 558.
-5*(n + 10)**2
Let j(q) be the first derivative of -3*q**5/5 - 5*q**4/3 - 13*q**3/9 - q**2/3 + 126. Find z such that j(z) = 0.
-1, -2/9, 0
Let o(s) = -2*s**3 + 5*s**2 - 5*s + 154. Let q be o(5). What is x in -3/7*x**3 + 3/7*x**q + 3/7*x + 0 - 3/7*x**2 = 0?
-1, 0, 1
Let c(i) = -8*i**2 - 60*i - 100. Let y(v) = 7*v**2 + 60*v + 100. Let j(f) = -2*c(f) - 3*y(f). Factor j(l).
-5*(l + 2)*(l + 10)
Let t(i) be the third derivative of -i**8/28 + 4*i**7/7 - 113*i**6/40 + 7*i**5/4 + 141*i**4/8 + 45*i**3/2 - 631*i**2. Find z, given that t(z) = 0.
-1/2, 3, 5
Let f(m) be the third derivative of m**6/40 + 47*m**5/20 - 97*m**4/8 + 49*m**3/2 - 235*m**2. Factor f(o).
3*(o - 1)**2*(o + 49)
Suppose 0 = 5*i - 13 + 48. Let y = i - -10. Factor -o**2 + 9*o**3 - 2*o**2 - y*o**4 + 3*o - 7*o**2 + o**2.
-3*o*(o - 1)**3
Let i(u) be the second derivative of u**7/840 - u**6/120 + u**5/48 - u**4/48 + 15*u**2/2 - 22*u. Let k(y) be the first derivative of i(y). Factor k(j).
j*(j - 2)*(j - 1)**2/4
Let s = 61/119 + 1/17. Let -8/7*m**4 - 12/7*m + 8/7*m**2 + 16/7*m**3 + 0 - s*m**5 = 0. Calculate m.
-3, -1, 0, 1
Suppose -3*m = 3*s - 12, -11*m + 4 = 5*s - 4*s. Find p, given that 2/9*p**5 - 2/9*p**2 - 2/9*p**3 + m + 2/9*p**4 + 0*p = 0.
-1, 0, 1
Let j(r) = 6*r**2 + 23*r - 17. Let k(z) = z**2 + 4*z - 3. Let y(v) = 40*v. Let g be y(1). Suppose -g = 5*b - 10. Let o(t) = b*j(t) + 34*k(t). Factor o(d).
-2*d*(d + 1)
Let y(b) = b**3 - 88*b**2 + 174*b - 168. Let x be y(86). Find d such that 1/5*d + 8/5*d**x + 0 + 14/5*d**3 + 7/5*d**2 = 0.
-1, -1/2, -1/4, 0
Let n be 1158/(-9) + (-5 - -4). Let a = 130 + n. Factor a*l**3 + 2/3*l + 0 - l**2.
l*(l - 2)*(l - 1)/3
Suppose -3*r - 4*r + 6*r = -24*r. Factor -6/7*m**4 + 2/7*m**3 + r + 0*m**2 - 8/7*m**5 + 0*m.
-2*m**3*(m + 1)*(4*m - 1)/7
Let g(a) be the second derivative of -2*a**7/21 + 4*a**6/15 + 18*a**5/5 + 32*a**4/3 + 46*a**3/3 + 12*a**2 + 17*a - 2. Factor g(u).
-4*(u - 6)*(u + 1)**4
Let m(w) = 105*w**5 + 180*w**4 + 5*w**3 - 10*w**2 + 40*w - 20. Let u(y) = y**4 - 2*y**3 + 2*y - 1. Let c(a) = m(a) - 20*u(a). Determine f so that c(f) = 0.
-1, -2/3, 0, 1/7
Suppose 180 = 41*z - 45*z. Let i = 47 + z. Solve 3/5*m**4 + 3*m**3 + 12/5*m + 24/5*m**i + 0 = 0.
-2, -1, 0
Let d(s) be the third derivative of 3*s**2 - 1/7*s**3 + 0 - 1/70*s**5 + 0*s - 5/