*4 - 6/7*d**3 + 6/7*d**5 + 0*d = 0.
-1, -2/3, 0, 1
Let x(y) be the third derivative of -2*y**7/735 - 2*y**6/105 - 2*y**5/105 + 2*y**4/21 + 2*y**3/7 - 2*y**2 + 28*y. Solve x(j) = 0 for j.
-3, -1, 1
Let w(i) = i**3 + i - 1. Let c(r) = 2*r**5 + 4*r**4 + 2*r**3 - 4*r**2 - 2. Let k(z) = -c(z) + 2*w(z). Factor k(j).
-2*j*(j - 1)*(j + 1)**3
Let f = 515 - 30899/60. Let j(y) be the third derivative of 0 + 0*y - y**2 + 0*y**4 + 0*y**3 - f*y**5. Suppose j(d) = 0. Calculate d.
0
Let w(k) be the second derivative of k**10/15120 - k**8/1680 + k**6/360 - k**4/4 - 2*k. Let f(j) be the third derivative of w(j). Factor f(z).
2*z*(z - 1)**2*(z + 1)**2
Let x(b) be the third derivative of 0 + 1/30*b**5 + 1/4*b**4 + 2/3*b**3 + 4*b**2 + 0*b. Factor x(n).
2*(n + 1)*(n + 2)
Let q be (8/18)/((-16)/(-24)). Find v such that 1/3 - q*v + 1/3*v**2 = 0.
1
Let o(m) be the first derivative of -m**2/2 + 6*m + 3. Let c be o(6). Factor 1/2*z**5 - z**3 + 1/2*z + c*z**2 + 0 + 0*z**4.
z*(z - 1)**2*(z + 1)**2/2
Let n(f) be the second derivative of f**4/96 - f**3/24 - 22*f. Factor n(i).
i*(i - 2)/8
Let m(g) be the second derivative of g**6/15 - 4*g**5/5 + 11*g**4/3 - 8*g**3 + 9*g**2 - 4*g. Find r, given that m(r) = 0.
1, 3
Let t(c) be the third derivative of -c**7/30 + 3*c**6/40 + 11*c**5/20 + 11*c**4/24 - c**3 + 14*c**2. Suppose t(y) = 0. Calculate y.
-1, 2/7, 3
Let u(l) = 2*l**5 - 9*l**4 - 6*l**3 + 2*l**2 - 3*l. Let t(k) = -2*k**5 + 8*k**4 + 6*k**3 - 2*k**2 + 2*k. Let c(a) = 7*t(a) + 6*u(a). Solve c(b) = 0 for b.
-1, 0, 1, 2
Suppose -4*q - 11 = 13. Let a(w) = -w**3 - w**2 + 1. Let k(g) = -3*g**5 + 9*g**4 - 15*g**3 - 3*g**2 + 6. Let i(p) = q*a(p) + k(p). Determine f so that i(f) = 0.
0, 1
Let r(o) = o**3 - 3*o**2 - o + 3. Let q(i) = -3*i**3 + 6*i**2 + 3*i - 6. Let y(p) = -4*q(p) - 9*r(p). Factor y(h).
3*(h - 1)*(h + 1)**2
Let q(m) = -m - 4. Let z be q(-7). Suppose 6*n = z*n + 21. Factor -7*x**2 + 2 - 4*x**4 + 0*x + x**2 - x + 2*x**4 + n*x**3.
-(x - 2)*(x - 1)**2*(2*x + 1)
Let s(w) = 7*w**3 - 3*w**2 + 8*w - 6. Let v(c) = c**3 + c - 1. Let b(d) = -s(d) + 6*v(d). Factor b(j).
-j*(j - 2)*(j - 1)
Let l(n) be the second derivative of -n**6/120 + 3*n**5/40 - 13*n**4/48 + n**3/2 - n**2/2 - 6*n. Factor l(h).
-(h - 2)**2*(h - 1)**2/4
Let o = 64 + -64. Suppose 0*z + 1/3*z**5 - 1/3*z**3 + o*z**2 + 0 + 0*z**4 = 0. What is z?
-1, 0, 1
Let t(h) be the third derivative of 1/30*h**5 + 0*h**4 + 0*h**3 + 0*h + 0 + 1/60*h**6 - 2*h**2. Determine v so that t(v) = 0.
-1, 0
Let m(o) = -o + 13. Let r be m(11). Suppose 4*s + 2*a - 26 = 0, 2*a - 18 = -r*s - 0*a. Determine g, given that 162/7*g**s + 72/7*g**3 + 8/7*g**2 + 0*g + 0 = 0.
-2/9, 0
Let x = -2 + 2. Suppose 6*g + 18*g = 72. Solve 0 + 1/4*u + x*u**2 - 1/4*u**g = 0 for u.
-1, 0, 1
Let r = 19 - 3. Let q be ((-15)/(-10))/(6/r). Factor 4*a**2 + 2*a + 0*a**5 + 2*a**5 - 4*a**3 - q*a**4 + 2*a**4 - 2.
2*(a - 1)**3*(a + 1)**2
Suppose 0 = -3*x + 5*x. Suppose -2*w + x + 4 = 0. Determine b, given that -2/9 - 2/9*b**w - 4/9*b = 0.
-1
Determine b so that -8/3*b - 2/3*b**2 + 0 = 0.
-4, 0
Let l(o) be the first derivative of -o**6/180 + o**5/45 - o**4/36 + 7*o**2/2 + 5. Let f(t) be the second derivative of l(t). Factor f(g).
-2*g*(g - 1)**2/3
Let j(t) = -t - 1. Let f(i) = 5*i + 2. Let b(c) = f(c) + 2*j(c). Let s be b(1). What is p in 5*p**2 - 2*p**3 - 2*p + s*p**3 - 4*p**2 = 0?
-2, 0, 1
Let q(v) = 11*v**4 + 6*v**3 - 9*v**2 - 10*v + 6. Let p(s) = 32*s**4 + 17*s**3 - 28*s**2 - 30*s + 17. Let o(l) = 6*p(l) - 17*q(l). Suppose o(f) = 0. Calculate f.
-1, 0, 2
Suppose 66*t = 68*t - 5*z - 40, 5*t - 100 = -3*z. Solve 8/3*d + 0 - 44/3*d**2 + 544/3*d**4 - t*d**3 - 448/3*d**5 = 0.
-2/7, 0, 1/4, 1
Let v(y) be the third derivative of -y**6/180 + y**5/30 + y**3/2 + 2*y**2. Let j(q) be the first derivative of v(q). Factor j(t).
-2*t*(t - 2)
Let w = 8 - 14. Let c be 38/8 + w/8. Factor -8/9 + 278/9*y**3 + 64/9*y - 194/9*y**2 + 50/9*y**5 - 190/9*y**c.
2*(y - 1)**3*(5*y - 2)**2/9
Suppose 0 = -s + 5*s - 5*l + 9, 0 = -5*s + 4*l. Factor 1/3 + 1/3*b**s - 4/3*b + 2*b**2 - 4/3*b**3.
(b - 1)**4/3
Let p(y) = -20*y - 2. Let d be p(-1). Let j be (-12)/d - 8/(-9). Factor -2/3*h + j - 2/9*h**3 + 2/3*h**2.
-2*(h - 1)**3/9
Let a(z) be the first derivative of 2*z**3/9 - 4*z**2/3 + 8*z/3 - 21. Factor a(h).
2*(h - 2)**2/3
Suppose 5*i = 2*i + 6. Suppose 0 = -4*b + 3*n + 8, -2*n + i = b - 0*b. Find t, given that 0 + 1 - t**b + 0 = 0.
-1, 1
Suppose 2*d - 20 = 5*s, -3*d - 2*s + 34 = -34. Let f = d + -16. Find q, given that 1/3*q**f + 0*q + 0*q**2 - 1/3*q**3 + 0 = 0.
0, 1
Let b = -3 + 6. Factor 5*m + m - m**2 - m**b - 4*m.
-m*(m - 1)*(m + 2)
Suppose 1 = -2*p - 19. Let u be ((-16)/p)/(2/5). Factor 4 + 154*k**2 + 88*k**2 + u - 88*k.
2*(11*k - 2)**2
Let h(b) = -b**3 + 15*b**2 - 2*b + 35. Let o be h(15). Factor 49/3*y**o + 0 - y**3 + 70/3*y**4 - 20/3*y**2 + 4/3*y.
y*(y + 1)**2*(7*y - 2)**2/3
Suppose -16*d + 9 + 23 = 0. Factor 0*q - 6 + 9/2*q**d + 3/2*q**3.
3*(q - 1)*(q + 2)**2/2
Let -10 + 16*o + 4*o**4 - 6 - 4*o**2 - 3*o**3 + 16*o**2 - 13*o**3 = 0. Calculate o.
-1, 1, 2
Let s(h) be the third derivative of -1/40*h**5 - 3/280*h**7 + 1/32*h**6 + 0*h**4 + 0 + h**2 + 0*h + 0*h**3. Determine z so that s(z) = 0.
0, 2/3, 1
Let l(y) be the third derivative of y**8/392 - 4*y**7/735 - y**6/105 + y**5/35 + y**4/84 - 2*y**3/21 - 7*y**2. Let l(h) = 0. Calculate h.
-1, -2/3, 1
Let x(k) be the second derivative of -k**6/135 - 2*k**5/45 - 33*k. Factor x(i).
-2*i**3*(i + 4)/9
Let i(v) be the second derivative of -v**4/42 - v**3/7 - 2*v**2/7 + 5*v. Solve i(c) = 0.
-2, -1
Suppose 0 = -2*y - 3*y + 10. Let c = y - 0. Find w, given that -2/3*w**c + 4/3*w - 2/3 = 0.
1
Let v(l) be the first derivative of -4*l**7/945 - 2*l**6/405 + 7*l**5/540 - l**4/108 - 4*l**3/3 + 2. Let g(y) be the third derivative of v(y). Factor g(w).
-2*(w + 1)*(4*w - 1)**2/9
Let o(k) be the third derivative of k**10/945 + k**9/315 + 3*k**8/1120 + k**7/1260 - k**4/12 + 2*k**2. Let f(m) be the second derivative of o(m). Factor f(x).
2*x**2*(x + 1)*(4*x + 1)**2
Let w(i) = i**2 + 7*i - 3. Let m be w(-8). Factor 2*f**4 - m*f**2 - 6*f**3 + 2*f**3 + 2*f**3 + f**2.
2*f**2*(f - 2)*(f + 1)
Suppose 60 = 6*d - 2*d. Suppose 0 = 4*l + l - d. Factor 2 + 7*o**2 + 5*o - 1 - l.
(o + 1)*(7*o - 2)
Let w(l) be the third derivative of -1/16*l**4 + 0 + l**2 + 0*l**3 + 0*l - 3/40*l**5 - 3/80*l**6 - 1/140*l**7. Suppose w(d) = 0. Calculate d.
-1, 0
Let b(t) be the second derivative of t**7/70 + 2*t**6/75 - t**5/50 - t**4/15 - t**3/30 + 45*t. What is q in b(q) = 0?
-1, -1/3, 0, 1
Find a such that 3*a + a - 31*a**2 - 41*a**2 + 6 - 81*a**3 + 11*a = 0.
-1, -2/9, 1/3
Factor -1/7*j**3 - 6/7 + 5/7*j + 2/7*j**2.
-(j - 3)*(j - 1)*(j + 2)/7
Let p = 603 - 601. Factor 3/2*b + 0 - 1/2*b**p.
-b*(b - 3)/2
Determine q so that -18*q + 0*q**3 + 3*q**5 - 20*q**2 + 15*q**3 + 15*q**4 + 5*q**2 = 0.
-3, -2, -1, 0, 1
Solve 12/7 - 10/7*l**2 - 2*l**3 + 2*l - 2/7*l**4 = 0 for l.
-6, -1, 1
Let i(q) = q**5 - q**4 - q**3 + q**2 - q + 1. Let m(u) = 5*u**5 + 3*u**4 - 28*u**3 + 6*u**2 + 26*u + 6. Let w(g) = -6*i(g) + m(g). Factor w(r).
-r*(r - 4)**2*(r - 2)*(r + 1)
Let g be (-8)/((-48)/15 - -3). Let v be (-3)/(-120) + 15/g. Factor 2/5*f**3 - 2/5*f**2 - 2/5*f + v.
2*(f - 1)**2*(f + 1)/5
Suppose 0 = -2*n - y + 56, 3*y - 48 = -n - n. Suppose 38 = 2*x + n. Determine j so that 4/11*j**3 + 0*j**2 - 2/11*j**5 + 0*j**x + 0 - 2/11*j = 0.
-1, 0, 1
Suppose 5*h - 33 = 2*u - 14, -h = 5*u - 20. Let z(l) be the second derivative of -2/33*l**4 - 1/110*l**5 - 2*l + 0*l**2 + 0 - 4/33*l**u. Factor z(n).
-2*n*(n + 2)**2/11
Let s(f) be the second derivative of -f**5/4 + 5*f**4/3 - 10*f**3/3 + 14*f. Factor s(p).
-5*p*(p - 2)**2
Let k(z) = -z + 1. Let x be 1/(-2) + 25/(-10). Let p be k(x). Factor p*h**2 - 2 - 7*h**3 + 2*h - 13*h - 20*h**2.
-(h + 1)**2*(7*h + 2)
Let z(y) be the second derivative of y**6/120 - y**5/60 - y**4/24 + y**3/6 - 2*y**2 + y. Let v(t) be the first derivative of z(t). Determine g so that v(g) = 0.
-1, 1
Let y(v) = -9*v**4 - 4*v**3 + 9*v**2 + 15*v + 11. Let a(d) = -d**4 + d**2 + d + 1. Let o(q) = 22*a(q) - 2*y(q). Factor o(b).
-4*b*(b - 2)*(b - 1)*(b + 1)
Let c(g) be the third derivative of -g**5/90 - g**4/2 - 9*g**3 - 24*g**2. Factor c(h).
-2*(h + 9)**2/3
Let -4/11*j**2 + 6/11*j**4 - 2/11 - 4/11*j**3 + 6/11*j - 2/11*j**5