**2
Let c be (5/35)/((-10)/(-4)). Let n(x) be the first derivative of 2 - 4/7*x**3 - c*x**5 - 2/7*x + 4/7*x**2 + 2/7*x**4. Find o such that n(o) = 0.
1
Suppose -5*l - f + 5 + 14 = 0, 2*f = 2*l + 2. Let d be -2 + (-3)/9 + l. Factor 0 - 2/3*h - d*h**2.
-2*h*(h + 1)/3
Let u be 4 + -1 - (-25)/(-10). Determine b so that 0 - 1/4*b**2 + 0*b - u*b**3 - 1/4*b**4 = 0.
-1, 0
Suppose m - 3*q = 3, q = 2*q. Suppose m*v - 6 = 0, -9 = -2*c - 2*v - 1. Find f such that 0*f**3 - c*f**3 - 4 + 2*f + f**4 + 3 = 0.
-1, 1
Factor 1/3*x**3 + 1/3*x**2 + 0*x + 0.
x**2*(x + 1)/3
Suppose -5*b - 2*h + 4 = 0, 5*b - h - 25 = 4*h. Solve -8/7 + 12/7*t**3 - 2/7*t**4 + 24/7*t - 26/7*t**b = 0.
1, 2
Let r(s) be the third derivative of -s**7/1680 - s**6/240 - s**5/80 - s**4/6 - 4*s**2. Let x(z) be the second derivative of r(z). Let x(h) = 0. What is h?
-1
Factor -8 + 11*k**2 - 3*k**3 - 4 - 2*k**2.
-3*(k - 2)**2*(k + 1)
What is o in -2*o - 2/3*o**3 - 6 + 10/3*o**2 = 0?
-1, 3
Let z(c) be the first derivative of -c**4/36 - 2*c**3/9 - 2*c**2/3 - 7*c - 3. Let n(t) be the first derivative of z(t). Factor n(b).
-(b + 2)**2/3
Let f(k) be the first derivative of k**5/15 + k**4/3 + 2*k**3/3 + 2*k**2/3 + k/3 - 8. Factor f(y).
(y + 1)**4/3
Suppose 100 - 6*q**2 - 140*q + 50*q**2 - 2*q**3 - 2*q**3 = 0. What is q?
1, 5
Suppose 3*a = r + 4*r - 15, 2*r + 5*a = -25. Let m(b) be the first derivative of -1/12*b**3 - 1/8*b**2 + r*b - 4. Factor m(f).
-f*(f + 1)/4
Let t be (-1 - 5)/(-9 - (-35)/7). Let 3*d**2 + 0 - t*d = 0. What is d?
0, 1/2
Let x(v) be the third derivative of -v**7/70 + 3*v**6/20 - 3*v**5/5 + v**4 - 9*v**2. Factor x(u).
-3*u*(u - 2)**3
Factor 0 - 3/7*q - 6/7*q**4 + 0*q**3 + 6/7*q**2 + 3/7*q**5.
3*q*(q - 1)**3*(q + 1)/7
Suppose 0 = 7*o - 86 + 72. Suppose -4/5 - 2/5*p**o - 6/5*p = 0. Calculate p.
-2, -1
Let b(i) = -69*i**2 + 2*i - 1. Let k be b(1). Let a = 750/11 + k. Determine o, given that 2/11*o**3 + a - 2/11*o**2 - 2/11*o = 0.
-1, 1
Let b(g) be the third derivative of -g**8/336 + g**7/70 - g**6/40 + g**5/60 - 9*g**2. Solve b(c) = 0 for c.
0, 1
Suppose 4 = -2*t + 6. Suppose t + 2*o - 4*o**2 - 5 + 6*o**2 = 0. Calculate o.
-2, 1
Let g be (1/(-3))/(2/(-18)). Solve w**2 - 1/3*w**4 - 2/3 + 1/3*w**g - 1/3*w = 0.
-1, 1, 2
Suppose u + u = 0. Suppose -12 = -u*j + 5*j + 3*t, -4*j + 4*t = -16. Factor -3/5*x**2 + j*x + 0 + 3/5*x**3.
3*x**2*(x - 1)/5
Suppose t + 1107 = -2*t. Let a = 4063/11 + t. Factor -a*p + 0 + 2/11*p**2.
2*p*(p - 2)/11
Let j(f) be the third derivative of 0 + 0*f**4 + 0*f - 10*f**2 - 1/30*f**5 - 1/60*f**6 + 0*f**3. Factor j(n).
-2*n**2*(n + 1)
Let q(p) be the third derivative of 1/180*p**6 - 1/36*p**4 + 0*p - 2*p**2 + 0 + 1/315*p**7 - 1/90*p**5 + 0*p**3. Suppose q(r) = 0. Calculate r.
-1, 0, 1
Let f(l) = -2*l**3 + l**2 + 4*l + 3. Let t be f(-1). Factor -4/3*k**3 - 3*k**t - 1/3 - 2*k.
-(k + 1)**2*(4*k + 1)/3
Suppose -4*v - 2*a = -14, 4*v - 7 = 3*v + 3*a. Factor 0 + 0*c + 0*c**3 + 2/11*c**2 - 2/11*c**v.
-2*c**2*(c - 1)*(c + 1)/11
Let o(x) = -x + 1. Let z be o(2). Let f be (z - 2)/((-9)/6). Find j, given that j**3 + 5*j**2 - j**2 - j**f - j**2 = 0.
-2, 0
Let x(a) be the third derivative of a**8/7560 - a**6/405 - a**3/3 + a**2. Let o(k) be the first derivative of x(k). Let o(u) = 0. Calculate u.
-2, 0, 2
Factor 7/4*f**4 + 0 - 15*f**2 + 3*f**3 + 4*f.
f*(f - 2)*(f + 4)*(7*f - 2)/4
Let q(g) = -g**2 + 9*g + 12. Let r be q(10). Factor -5*n**4 - n**2 + 6*n**3 - r*n**3 + n**5 + n**5.
n**2*(n - 1)**2*(2*n - 1)
Let q(a) be the third derivative of a**9/60480 - a**7/5040 + 3*a**5/20 + 4*a**2. Let t(d) be the third derivative of q(d). Factor t(b).
b*(b - 1)*(b + 1)
Let y = -1 - -3. Suppose 3*c = 2*k + 5, 3*c + 3*k = 5*c. Factor w + w + 10*w**y - 3*w - c*w.
2*w*(5*w - 2)
Let o(c) be the third derivative of -8/15*c**3 - 1/5*c**4 + 0*c - 1/25*c**5 - 1/300*c**6 - 8*c**2 + 0. What is z in o(z) = 0?
-2
Suppose -306 + 302 = -2*i. Factor 2*t - 42/11*t**i - 10/11*t**4 - 4/11 + 34/11*t**3.
-2*(t - 1)**3*(5*t - 2)/11
Solve -16/3*i**3 + 0 - 4/3*i - 2*i**4 - 14/3*i**2 = 0.
-1, -2/3, 0
Let m = -1372/5 + 276. Factor 12/5*v**3 + 2/5*v + 2/5*v**5 - m*v**4 - 8/5*v**2 + 0.
2*v*(v - 1)**4/5
Let g(u) be the third derivative of 0*u + 5/48*u**4 - 1/30*u**5 - 1/6*u**3 + 0 + 1/240*u**6 - u**2. Find q, given that g(q) = 0.
1, 2
Let o be 4/1 + -4 + 2. Let h(w) be the first derivative of o + 0*w**2 + 1/3*w**3 + 0*w. Find t, given that h(t) = 0.
0
What is d in -8/13 + 2/13*d**3 - 10/13*d**2 + 16/13*d = 0?
1, 2
Factor 11*o**2 - 9*o**2 - o**3 + 2*o**3.
o**2*(o + 2)
Let s = 8 - 0. Suppose -4*l = -4*u + s, -5*u + l + 28 = 5*l. Factor 2/3*n**3 + 0 - 2/3*n**u + 0*n**2 + 0*n.
-2*n**3*(n - 1)/3
Let w be 1 - 20 - (-1 + -1). Let m be ((-1)/7)/(w/68). Factor -m + 2/7*l**2 + 2/7*l.
2*(l - 1)*(l + 2)/7
Let s(p) = p**2 + 6*p + 3. Let r be s(-5). Let y(l) = -l**3 - l**2 - 2*l - 3. Let n be y(r). Factor 2*c - 4 - 2*c**3 - 5*c**4 + n*c**2 - 3 + 7.
-c*(c - 1)*(c + 1)*(5*c + 2)
Factor -52/5*a + 16/5 - 14/5*a**2.
-2*(a + 4)*(7*a - 2)/5
Let f be (-537)/(-18) - (-2)/12. Let v be ((-4)/(-3))/(f/45). Factor 0 + 3/4*c**3 - 3/2*c**v + 3/4*c.
3*c*(c - 1)**2/4
Find a, given that 0*a + 1/5*a**5 + 0 + 4/5*a**4 + a**3 + 2/5*a**2 = 0.
-2, -1, 0
Let v(z) = 11*z**2 - 18*z - 24. Let r(l) = 17*l**2 - 27*l - 36. Let x(p) = 5*r(p) - 8*v(p). Factor x(m).
-3*(m - 4)*(m + 1)
Find i, given that 24/5*i + 4/5*i**2 + 36/5 = 0.
-3
Let u(o) be the second derivative of 0*o**2 - 5*o + 0*o**6 + 0*o**3 + 0*o**4 - 1/10*o**5 + 0 + 1/21*o**7. Factor u(m).
2*m**3*(m - 1)*(m + 1)
Find m, given that -16/5*m**3 + 0*m - m**4 - 4/5*m**2 + 0 + 7/5*m**5 = 0.
-1, -2/7, 0, 2
Let b(i) be the first derivative of -i**4/4 - i**3 - 2*i**2 - 2*i - 4. Let o be b(-2). Factor -7*h**4 - 9*h + 6*h + 9*h**o - 2*h**4 + 3*h**3.
-3*h*(h - 1)*(h + 1)*(3*h - 1)
Let 7/3*l + 2/3 + 7/3*l**2 + 2/3*l**3 = 0. What is l?
-2, -1, -1/2
Let m(y) be the third derivative of y**6/180 + y**5/30 + y**4/12 - 3*y**3/2 + 2*y**2. Let w(f) be the first derivative of m(f). What is b in w(b) = 0?
-1
Let t(w) = w**5 - 2*w**2 + w + 2. Suppose 3*o = -13 - 5. Let g(n) = 2*n**5 - n**4 - 2*n**2 + n + 3. Let z(r) = o*t(r) + 4*g(r). Solve z(l) = 0 for l.
-1, 0, 1
Let y(k) be the second derivative of -3*k**5/140 + k**4/14 - k**3/14 - 6*k. What is s in y(s) = 0?
0, 1
Let l(w) be the second derivative of 1/18*w**4 + 1/9*w**7 + 19/45*w**6 + 1/2*w**5 + 3*w + 0 + 0*w**2 - 2/9*w**3. Let l(v) = 0. Calculate v.
-1, 0, 2/7
Find a such that -48 + 27*a - 64*a - 35*a - 3*a**3 - 27*a**2 = 0.
-4, -1
Let z(p) = 3*p**5 + 4*p**4 - 12*p**2 - 5. Let r(f) = 3*f**5 + 5*f**4 - 12*f**2 - 4. Let j(h) = -5*r(h) + 4*z(h). Factor j(o).
-3*o**2*(o - 1)*(o + 2)**2
Let z be 3/(9/6) + 2. Solve 2*y**2 + 0*y**z + y**2 - y**4 - 1 - y**2 = 0.
-1, 1
Let g(f) be the first derivative of f**2 + 8 - 1/3*f - 1/2*f**4 - 8/9*f**3 + 3/5*f**5. Factor g(p).
(p - 1)*(p + 1)*(3*p - 1)**2/3
Factor -47*t - 2*t**5 + 2*t**3 + 0*t**5 + 47*t.
-2*t**3*(t - 1)*(t + 1)
Let b(z) be the first derivative of -4*z**3/3 - 8*z**2 - 1. Solve b(d) = 0 for d.
-4, 0
Let n(r) be the third derivative of 0*r - 1/18*r**4 - 1/90*r**5 + 0*r**3 + 4*r**2 + 0. Suppose n(w) = 0. What is w?
-2, 0
Let l be -3*(-9)/(27/2). Let x(f) be the second derivative of 7/6*f**3 + 2/3*f**4 + 3/20*f**5 + 0 + f**l - 4*f. Let x(u) = 0. Calculate u.
-1, -2/3
Let a(z) be the third derivative of 0 + 0*z + 1/330*z**5 + 1/220*z**6 - 2*z**2 + 1/1848*z**8 + 0*z**3 + 1/385*z**7 + 0*z**4. Factor a(c).
2*c**2*(c + 1)**3/11
Let f = 96/13 + -2713/429. Let k = f + -8/11. Factor g + k + 1/3*g**3 + g**2.
(g + 1)**3/3
Let u = 4908/275 + -195/11. Let l = 13/25 - u. Factor 0*i + 2/5*i**3 + l*i**2 + 0.
2*i**2*(i + 1)/5
Let 2/13*d**4 + 2/13*d**2 + 4/13*d**3 + 0 + 0*d = 0. What is d?
-1, 0
Factor -2/3*y**2 - 1/3*y**3 - 1/3*y + 0.
-y*(y + 1)**2/3
Let w(k) = 8*k**3 - 12*k**2 - 24*k - 16. Let d(b) = -b**3. Let g(m) = 10*d(m) + w(m). Let g(i) = 0. What is i?
-2
Let t be -3*2*39 - -1. Let k be 3/18 - t/42. Let -8/7 - 40/7*s - k*s**3 - 8/7*s**4 - 66/7*s**2 = 0. Calculate s.
-2, -1/2
Let r(x) = -x**2 + 4*x - 1. Let u be r(3). Let z = 18 + -13. Determine d, given that d**2 + u*d**4 + z*d**3 - 6*d**4 - 2*d**2 = 0.
0, 1/4, 1
Let o = 141 + -704/5. Let n(q) be the third derivative of -1/25*q**5 + o*q**4 - 8/15*q**3 - 3*q**2 + 0 + 0*q + 1/300*q**6. Determin