d**2. Factor b(s).
-2*s**3/7
Let j(u) be the third derivative of -u**6/480 - u**5/120 + 6*u**2. Factor j(y).
-y**2*(y + 2)/4
Let q(m) be the third derivative of 0*m + 1/540*m**6 - 1/6*m**3 + 2*m**2 - 1/180*m**5 + 0 + 0*m**4. Let b(j) be the first derivative of q(j). Solve b(i) = 0.
0, 1
Let u(c) = c**3 - 12*c**2 + c + 5. Let s(q) = -2*q**3 + 18*q**2 - 2*q - 7. Let f(j) = -5*s(j) - 7*u(j). What is b in f(b) = 0?
0, 1
Let x(v) be the first derivative of v**8/5040 - v**6/180 - v**5/45 - v**4/24 + v**3 + 6. Let y(b) be the third derivative of x(b). Find z such that y(z) = 0.
-1, 3
Suppose 9*k + 80 = 14*k. Suppose 4*m**2 - 18*m + 2*m + k + 0*m = 0. Calculate m.
2
Let h be (177/236)/(6/32*26). Let 0 + 8/13*z**2 - h*z**4 - 8/13*z**3 + 0*z + 2/13*z**5 = 0. Calculate z.
-2, 0, 1, 2
Let -8/9*f**3 + 0*f + 0 - 2/9*f**2 = 0. Calculate f.
-1/4, 0
Let r(j) be the second derivative of j**3/6 - 5*j**2/2 + 3*j. Let g be r(8). Let 3*y**3 - 2*y**2 + 2*y**4 - g*y**3 - 2*y**3 + 2*y = 0. What is y?
-1, 0, 1
Suppose -3 - 1 = -z. Let y be (1 + -5 + z)*1. Determine m so that 2*m**3 + 2/3*m**5 - 2*m**4 + 0 - 2/3*m**2 + y*m = 0.
0, 1
Let q(m) be the second derivative of 0*m**3 + 4*m + m**2 + 0*m**4 + 0 - 1/120*m**5. Let v(h) be the first derivative of q(h). Find a, given that v(a) = 0.
0
Let z(k) = 5*k**5 - 2*k**4 + 7*k**3 - 7*k**2 + 7*k - 7. Let i(w) = -4*w**5 + 2*w**4 - 6*w**3 + 6*w**2 - 6*w + 6. Let f(o) = 7*i(o) + 6*z(o). Factor f(c).
2*c**4*(c + 1)
Let k(r) be the second derivative of r**6/30 + r**5/60 - r**4/12 - r**3/18 - 6*r. Factor k(m).
m*(m - 1)*(m + 1)*(3*m + 1)/3
Let s = 27 - 25. Suppose -9 + 9*z**3 + 8*z + 1 + 6*z**s - 2*z**4 - 13*z**3 = 0. Calculate z.
-2, 1
Solve 3*c**4 - 12*c**2 + 35/2*c**3 + 0 + 2*c - 9/2*c**5 = 0.
-2, 0, 1/3, 2
Suppose 3*n = n + 16. Let p be 6/(-3)*n/(-6). What is f in p*f**2 - 20/3*f**3 + 10/3*f**5 - 4/3 + 10/3*f - 4/3*f**4 = 0?
-1, 2/5, 1
Let h be 2 - -2*3/6. Factor -4*x - 2*x**2 + 4*x**2 - x**h + 3*x**3.
2*x*(x - 1)*(x + 2)
Let l(d) = -24*d**2 + 8*d - 20. Let u(v) = v**2 - v. Let f(z) = -2*l(z) - 44*u(z). Let f(g) = 0. What is g?
-5, -2
Let k(y) be the third derivative of -y**6/30 - y**5/6 + y**4/3 + 4*y**3 - 9*y**2. Let k(u) = 0. What is u?
-2, 3/2
Suppose -d + 0*d + 80 = -3*v, 0 = d + 1. Let b = v + 12. Let x(o) = o**2 + 1. Let u(g) = 4*g**2 - g + 5. Let s(t) = b*x(t) + 3*u(t). Factor s(f).
-3*f*(f + 1)
Let i = 41/140 + 3/28. Factor 4/5 + 2/5*x - i*x**2.
-2*(x - 2)*(x + 1)/5
Let q(z) = -z**3 - 37*z**2 - 3*z - 109. Let w be q(-37). Solve 8/7*p + 0 - 32/7*p**w + 2*p**3 = 0.
0, 2/7, 2
Solve 2/5*v + 2/15*v**2 + 0 = 0 for v.
-3, 0
Let p be (-60)/(-35) + 2*1/7. Let b = -13/28 - -3/4. Solve -2/7*r**p - b*r + 0 = 0 for r.
-1, 0
Suppose 2*u + 0*u = 12. Let h be (8 + -2)/(u/4). Factor -2/9*f**3 + 2/9*f**2 - 2/9*f**h + 0 + 2/9*f.
-2*f*(f - 1)*(f + 1)**2/9
Let r(x) be the third derivative of 1/780*x**6 - 3*x**2 - 2/39*x**3 - 2/195*x**5 + 0 + 5/156*x**4 + 0*x. Find g, given that r(g) = 0.
1, 2
Let n be 1/4 + (-140)/(-16). Let c = n - 6. Factor 0*w**3 - w**3 - w**c.
-2*w**3
Factor -8*p**2 + 7/2*p**3 + 11/2*p - 1.
(p - 1)**2*(7*p - 2)/2
Let j(d) be the second derivative of d**4/6 - d**3 - 4*d**2 - 16*d. Factor j(g).
2*(g - 4)*(g + 1)
Let j(z) be the third derivative of 1/360*z**6 - 1/9*z**3 + 1/90*z**5 - 6*z**2 - 1/72*z**4 + 0 + 0*z. Factor j(t).
(t - 1)*(t + 1)*(t + 2)/3
Let b(s) be the first derivative of -7 + 1/15*s**5 - 1/6*s**4 + 1/9*s**3 + 0*s + 0*s**2. Factor b(k).
k**2*(k - 1)**2/3
Suppose r - 2 = -3, 4*a - 4*r = 12. Let j = 17 + -50/3. Factor -j*f**a + 1/3*f + 0 - 1/3*f**3 + 1/3*f**4.
f*(f - 1)**2*(f + 1)/3
Suppose -15 = -5*x - 5*p, -p + 9 = 3*x + x. Determine c so that -3/4*c - 3/4*c**3 + 3/2*c**x + 0 = 0.
0, 1
Let a = 5677/34 - 333/2. Find s, given that -a*s**2 - 82/17*s**4 + 0 + 0*s + 56/17*s**5 - 56/17*s**3 = 0.
-2/7, -1/4, 0, 2
Let l(s) = 12*s**4 - 12*s**3 - 7*s**2 - 17. Let f(c) = -4*c**4 + 4*c**3 + 2*c**2 + 6. Let t(x) = 17*f(x) + 6*l(x). Solve t(g) = 0 for g.
-1, 0, 2
Let -19/3*q**3 + 10/3*q**2 + 0 - 1/2*q + 3/2*q**5 + 2*q**4 = 0. What is q?
-3, 0, 1/3, 1
Let k(d) = -d**2 + d + 1. Let c(h) = 4*h**4 - 5*h**3 - 4*h**2 + 5*h + 5. Let s(a) = -4*c(a) + 20*k(a). Factor s(o).
-4*o**2*(o - 1)*(4*o - 1)
Let v(y) be the third derivative of y**7/1890 + y**6/360 + y**5/180 + y**4/216 + 14*y**2. Find o such that v(o) = 0.
-1, 0
Let x(r) be the third derivative of r**6/15 - 3*r**5/10 - 5*r**4/6 + r**3 - 42*r**2. Factor x(y).
2*(y - 3)*(y + 1)*(4*y - 1)
Let d(q) be the first derivative of 147*q**4/4 + 126*q**3 + 90*q**2 + 24*q + 25. Solve d(h) = 0.
-2, -2/7
Suppose -5*u = -3*k - 1, 5*u - 11 = 2*k - 7. Factor b + 1/4 + 5/4*b**u + 1/2*b**3.
(b + 1)**2*(2*b + 1)/4
Let t(l) be the first derivative of -l**4/4 - 2*l**3/3 + l**2/2 + 2*l - 7. Find c such that t(c) = 0.
-2, -1, 1
Suppose 3*t = 7 + 47. Solve -2 + 4 + 12*g**2 + 2*g**4 - t*g + 26*g + 8*g**3 = 0 for g.
-1
Let c(m) be the first derivative of m**3/3 + 3*m**2/2 + 4*m + 2. Let l be c(-3). Factor -3*k - k - 2*k**2 - l - 2*k.
-2*(k + 1)*(k + 2)
Suppose -4*h + 6 - 2 = 0. Let i = 17 + -13. Let -1 - 4*t**3 + 2*t - h + t**i + 2*t + t**4 = 0. Calculate t.
-1, 1
Factor -2 - 3*w**2 + 9/2*w + 1/2*w**3.
(w - 4)*(w - 1)**2/2
Let s(z) be the first derivative of -z**8/840 + 2*z**7/525 - z**6/300 - z**2/2 + 2. Let b(p) be the second derivative of s(p). Suppose b(r) = 0. What is r?
0, 1
Let c be (1/1)/((-3)/(-15)). Let p(l) be the third derivative of 0 - 1/12*l**4 + 0*l + 1/60*l**c + 1/6*l**3 - l**2. Factor p(x).
(x - 1)**2
Let t be (-1)/(-2) - 18/(-4). Let p(a) = 2*a - 6. Let m be p(t). What is s in 5*s**m - 5*s**2 - s - 21/4*s**3 + 0 + 25/4*s**5 = 0?
-1, -2/5, 0, 1
Let g(h) be the first derivative of h**6/1080 + h**5/360 - h**3 - 4. Let b(s) be the third derivative of g(s). Factor b(v).
v*(v + 1)/3
Factor -2/3*n**3 + 0 + 4/3*n + 2/3*n**2.
-2*n*(n - 2)*(n + 1)/3
What is p in -9/7*p**4 + 9/7*p**2 + 3/7*p**5 - 6/7*p + 0 + 3/7*p**3 = 0?
-1, 0, 1, 2
Let w(y) = 4*y**5 + 3*y**4 - 9*y**3 + 7*y**2 - 5*y. Let l(k) = -6*k**5 - 5*k**4 + 14*k**3 - 11*k**2 + 8*k. Let v(a) = 5*l(a) + 8*w(a). Factor v(z).
z**2*(z - 1)*(z + 1)*(2*z - 1)
Let a(s) be the second derivative of 2*s**6/75 - 16*s**5/25 + 64*s**4/15 - 24*s. Factor a(t).
4*t**2*(t - 8)**2/5
Let a = -2/93 + 11/31. Let r(p) be the first derivative of 0*p + a*p**2 + 1/6*p**4 - 4/9*p**3 - 2. Suppose r(g) = 0. What is g?
0, 1
Let y(v) be the first derivative of v**7/504 - v**6/540 - v**5/72 + v**4/36 + 5*v**3/3 + 1. Let x(i) be the third derivative of y(i). Solve x(q) = 0.
-1, 2/5, 1
Let m = -356/9 - -358/9. Factor -m*z**2 + 0*z + 2/9.
-2*(z - 1)*(z + 1)/9
Let k(g) be the third derivative of -g**6/540 + 17*g**5/270 - 7*g**4/12 - 3*g**3 - 15*g**2. Factor k(y).
-2*(y - 9)**2*(y + 1)/9
Let b(l) = l**2 - 3*l - 1. Let p be b(4). Factor 4*s**3 - 2*s**3 - 3*s**p.
-s**3
Let r(k) be the first derivative of -6 + 6/25*k**5 + 2/5*k**3 - 7/10*k**4 - 4/5*k + 3/5*k**2. Factor r(l).
2*(l - 1)**3*(3*l + 2)/5
Let x(z) = -3*z**5 - 5*z**4 - 3*z**3 + 5*z**2 + 2*z - 4. Let s(l) = -3*l**5 - 5*l**4 - 2*l**3 + 5*l**2 + 2*l - 3. Let r(u) = -4*s(u) + 3*x(u). Factor r(p).
p*(p - 1)*(p + 1)**2*(3*p + 2)
Let o(m) be the first derivative of -m**7/14 + m**6/6 - m**5/20 - m**4/12 + 2*m + 7. Let i(l) be the first derivative of o(l). Determine h so that i(h) = 0.
-1/3, 0, 1
Factor -1/2*y**3 + 0*y + 1/4*y**4 + 1/4*y**2 + 0.
y**2*(y - 1)**2/4
Let t(z) = 3*z - 1. Let f be t(1). Suppose 1/2 + 5/4*x**f - 7/4*x = 0. Calculate x.
2/5, 1
Let g(s) = 2*s**2 - 8*s + 13. Let n(k) = k**2 - 4*k + 7. Suppose -j + 5 = -l, j = -4*l + 12 - 32. Let i(h) = l*n(h) + 3*g(h). Factor i(c).
(c - 2)**2
Let u = -6 - -8. Let q(h) be the second derivative of -1/80*h**5 + 0*h**u - 1/48*h**4 + 0 + 2*h + 0*h**3. Factor q(w).
-w**2*(w + 1)/4
Let b(c) = -c**3 - c**2 + 1. Let v(o) = 8*o**3 + 12*o**2 + 6*o - 4. Let l(g) = -12*b(g) - 2*v(g). Determine x, given that l(x) = 0.
-1
What is h in 13*h**3 - 5*h**3 - 40*h**2 + 26*h - 4 + 10*h**3 = 0?
2/9, 1
Let b(f) be the third derivative of f**6/45 - f**5/10 + f**4/6 - f**3/9 + 4*f**2. Factor b(p).
2*(p - 1)**2*(4*p - 1)/3
Let b(y) = y**3 - 7*y**2 - 18*y + 2. Let m be b(9). Determine o, given that 0*o**3 + 2/13*o**5 + 0 + 2/13*o**4 + 0*o + 0*o**m = 0.
-1, 0
Solve -1/8*x**2 + 3/8*x + 0 = 0 for