of -8*t**3/3 - 12*t**2 - 18*t + 5. Let a(g) = 0. Calculate g.
-3/2
Suppose -17*h = -h + 2*h. Let j(z) be the first derivative of 2/15*z**3 + h*z - 1 + 6/25*z**5 + 0*z**2 + 3/10*z**4 + 1/15*z**6. Factor j(k).
2*k**2*(k + 1)**3/5
Let n(l) be the second derivative of l**6/300 - l**5/75 - 3*l**2/2 + l. Let d(c) be the first derivative of n(c). What is r in d(r) = 0?
0, 2
Let x(d) = 2*d**2 - 4*d - 2. Let p(k) = -2*k**2 + 5*k + 1. Let s(z) = -2*p(z) - 3*x(z). Suppose s(f) = 0. Calculate f.
-1, 2
Suppose -1756 + 1765 = 3*l. Determine w so that 2/5*w**l + 0*w + 0 + 2/5*w**2 = 0.
-1, 0
Suppose 120 = 43*t + 17*t. Factor 0 + 0*m - 1/3*m**3 + 2/3*m**t.
-m**2*(m - 2)/3
Suppose 34 = 4*v + 22. Factor 0 + 0*h + 4/3*h**v - 2/3*h**2 - 2/3*h**4.
-2*h**2*(h - 1)**2/3
Let c(r) be the second derivative of -9*r**5/100 - r**4/20 + 3*r**3/10 + 3*r**2/10 - 6*r. Factor c(i).
-3*(i - 1)*(i + 1)*(3*i + 1)/5
Suppose 2*y = 3*s + 8, -3*s + 2*s + 8 = 2*y. Suppose -4 = -2*o - s. Let 2 - 2*q + 1/2*q**o = 0. What is q?
2
Let m be (-68)/(-48) - 4/(-12). Let x(g) be the first derivative of m*g**4 - 2/3*g**3 - 7/6*g**6 + 2/5*g**5 + 0*g + 3 + 0*g**2. Solve x(v) = 0.
-1, 0, 2/7, 1
Let n = 4 - 1. Factor 0*x - x**2 - n*x - 8 - x**2 - 5*x.
-2*(x + 2)**2
Suppose -i + 3*i - 8 = h, -2*h = -4. Suppose x + 0*x + 5*p - 10 = 0, 0 = -i*x - p + 2. Factor 4/3*q**3 - 4/3*q - 2/3*q**4 + x + 2/3*q**2.
-2*q*(q - 2)*(q - 1)*(q + 1)/3
Let i = 2/51 + 143/255. Let b(r) be the first derivative of 2/15*r**3 + i*r**2 + 4/5*r + 3. Find c, given that b(c) = 0.
-2, -1
Let j(g) be the third derivative of -1/24*g**4 - 3*g**2 + 0*g + 0 + 1/40*g**5 - 1/140*g**7 + 0*g**3 + 1/120*g**6. Factor j(w).
-w*(w - 1)*(w + 1)*(3*w - 2)/2
Let y(w) be the third derivative of -w**6/240 + w**5/120 + 5*w**2. Factor y(u).
-u**2*(u - 1)/2
Let n be ((-12)/8)/((-1)/2). Let j be 0/3 + 1*n. Determine p so that 0 + 2/7*p**5 - 8/7*p**2 + 12/7*p**j + 2/7*p - 8/7*p**4 = 0.
0, 1
Find o, given that -2/7*o**4 + 0 - 6/7*o**2 + 0*o + 2/7*o**5 - 10/7*o**3 = 0.
-1, 0, 3
Let d(r) be the first derivative of -1/4*r**4 + 1/20*r**5 - 4 + 0*r**2 + 0*r + 1/3*r**3. Determine m, given that d(m) = 0.
0, 2
Factor 3*b**4 - 11*b**2 + 11*b**2 + b**4.
4*b**4
Let q = 165 - 163. Determine x so that 0 + 0*x**q + 0*x**3 + 1/2*x**4 + 0*x - 3/2*x**5 = 0.
0, 1/3
Suppose -7 = -51*l + 49*l - g, -12 = -4*g. Factor -10/9*z**4 + 10/9*z + 20/9*z**3 - 2/9 + 2/9*z**5 - 20/9*z**l.
2*(z - 1)**5/9
Let d(k) be the first derivative of 0*k**3 + 0*k**4 + 3 + 0*k**2 - 2*k + 1/20*k**5. Let a(j) be the first derivative of d(j). Find s such that a(s) = 0.
0
Let i(v) be the first derivative of -2/9*v - 2 - 2/9*v**3 + 1/18*v**4 + 1/3*v**2. Find x, given that i(x) = 0.
1
Suppose 8 - 3*q**4 - 3*q**3 - 5 - 3*q**3 + 6*q = 0. Calculate q.
-1, 1
Let s = 8 + -4. What is x in -6*x**s + 6*x**3 - 4*x - 3*x**3 + 6*x**2 + x**3 + 0*x**3 = 0?
-1, 0, 2/3, 1
Let o(m) be the first derivative of 2/45*m**5 + 0*m + 7 + 0*m**2 - 1/9*m**4 + 2/27*m**3. Factor o(y).
2*y**2*(y - 1)**2/9
Let q(f) be the third derivative of f**7/1050 - f**6/300 + f**5/300 - 10*f**2. Factor q(r).
r**2*(r - 1)**2/5
Let j(r) be the second derivative of -r**6/1440 + r**3/6 - 2*r. Let y(i) be the second derivative of j(i). Factor y(d).
-d**2/4
Let t be 8/10*(5 - 0). Factor m**t + 0*m**4 - m + 9*m**2 - 9*m**3 + 2*m**4 - 2*m.
3*m*(m - 1)**3
Let w(v) = -2*v**4 + 9*v**3 + 12*v**2 - 5*v. Let u(k) = -5*k**4 + 18*k**3 + 25*k**2 - 11*k. Let f(c) = -6*u(c) + 13*w(c). Find p such that f(p) = 0.
-1, -1/4, 0
Suppose -5*v - 4*o - 2 = -4, 0 = -5*v + 4*o - 22. Let s be (-1 + v)*(-4)/6. Let 0 + 0*x + 2/9*x**s = 0. Calculate x.
0
Let t(a) be the first derivative of -3 + 0*a + 1/8*a**2 - 1/12*a**3. Determine u so that t(u) = 0.
0, 1
Let v = 0 - -2. Suppose -u - j + 5 = 0, 5 = -3*j + 8*j. Suppose 3*s**3 - s - 5*s**3 - 3*s**u + 3*s**3 + 3*s**v = 0. Calculate s.
-1, 0, 1/3, 1
Suppose -m - 12 = -4*m. Suppose -k - 2 + m = 0. Factor -2*z**2 + 0*z**3 + z**3 + 4*z**k.
z**2*(z + 2)
Let b(c) be the first derivative of 2*c**5/25 - 7*c**4/30 + 2*c**3/15 + c**2/5 + 2*c + 3. Let p(a) be the first derivative of b(a). Suppose p(f) = 0. What is f?
-1/4, 1
Factor 0 - 5/4*h**3 + 1/4*h + 1/4*h**2 + 3/4*h**4.
h*(h - 1)**2*(3*h + 1)/4
Let m(a) be the first derivative of 1 + a + 1/6*a**3 + 3/4*a**2. Factor m(z).
(z + 1)*(z + 2)/2
Let n(j) = -3*j**4 + 4*j**2 + 2*j - 1. Let y(w) be the first derivative of -2*w**5 + 13*w**3/3 + 7*w**2/2 - 3*w + 3. Let c(s) = -14*n(s) + 4*y(s). Factor c(r).
2*(r - 1)**2*(r + 1)**2
Let d = -20 + 601/30. Let q(m) be the third derivative of d*m**5 - 2/15*m**3 + 0*m - 1/20*m**4 - m**2 + 0. Suppose q(p) = 0. Calculate p.
-2/5, 1
Let q(s) be the second derivative of s**7/252 + s**6/60 + s**5/60 - s**4/36 - s**3/12 - s**2/12 + s. Determine k so that q(k) = 0.
-1, 1
Let j(t) = -5*t**2. Let r(u) = 38*u**2 + 2*u. Let s(c) = 35*j(c) + 5*r(c). Factor s(i).
5*i*(3*i + 2)
Let r = 5 + -1. Solve r*b**2 - 5*b - b + 3*b**2 - 5*b**2 = 0 for b.
0, 3
Let m(s) be the first derivative of 81*s**4/8 + 15*s**3/2 - 8*s**2 + 2*s - 1. Factor m(p).
(p + 1)*(9*p - 2)**2/2
Let b(h) = -h**2 + h. Let k(p) = 5*p - 6*p**2 + 3*p**4 - 6*p**3 + 5 - 5 + p. Let r(g) = -6*b(g) + k(g). Let r(m) = 0. Calculate m.
0, 2
Let f(v) be the second derivative of -1/105*v**6 + 3*v - 3/70*v**5 + 0*v**2 - 1/14*v**4 + 0 - 1/21*v**3. Factor f(y).
-2*y*(y + 1)**3/7
Let c = 17 + -2. Let z be 1*(c/12 + -1). Factor z*r**2 + r + 1.
(r + 2)**2/4
Let z(v) = -25*v**3 - 11*v**2 + 28*v + 8. Let t = 6 - -4. Let p(q) = -74*q**3 - 34*q**2 + 84*q + 24. Let a(n) = t*z(n) - 3*p(n). Factor a(w).
-4*(w - 1)*(w + 1)*(7*w + 2)
Let k(g) = 3*g**2 + 4*g**2 + 2*g + 8 - 3*g**2 + 5*g. Let f(n) = -6*n**2 - 10*n - 12. Let x be -3 - (-1 + -1) - 4. Let r(a) = x*f(a) - 8*k(a). Factor r(p).
-2*(p + 1)*(p + 2)
Let a(m) = -m**4 + m**3 - m**2 + m - 1. Let w(x) = 6 - 5*x - 11*x**4 + 21*x**4 + 0*x**3 + 12*x**2 + 3*x**3. Let q(y) = -6*a(y) - w(y). Factor q(r).
-r*(r + 1)**2*(4*r + 1)
Factor 12*d**2 + 4*d**3 + 4*d + 5*d - d.
4*d*(d + 1)*(d + 2)
Let w(v) be the third derivative of -v**6/320 + v**5/120 - v**4/192 + 20*v**2. Factor w(l).
-l*(l - 1)*(3*l - 1)/8
Solve -11*n**2 - 15*n**3 + 0*n**4 + 5*n**2 - 3*n**5 - 9*n**4 - 3*n**4 = 0 for n.
-2, -1, 0
Factor 1/5*t**3 + 0 - 4/5*t**5 + 3/5*t**4 + 0*t + 0*t**2.
-t**3*(t - 1)*(4*t + 1)/5
Let h(b) be the second derivative of b**7/280 + b**6/160 + b**2 - 4*b. Let w(r) be the first derivative of h(r). Let w(f) = 0. What is f?
-1, 0
Find q, given that 16/5 + 52/5*q + 10*q**2 + 8/5*q**3 - 6/5*q**4 = 0.
-1, -2/3, 4
Let c be (-7)/((-147)/14) + 2/(-3). Let t(p) be the first derivative of 2/33*p**3 + c*p + 1 + 0*p**2. Find x such that t(x) = 0.
0
Let i(u) be the third derivative of u**6/1980 + u**5/660 - u**4/66 - u**3/3 - u**2. Let f(v) be the first derivative of i(v). Factor f(s).
2*(s - 1)*(s + 2)/11
Let z(j) be the third derivative of 0*j**7 + 0 + 0*j + 4*j**2 + 0*j**3 + 0*j**4 - 1/224*j**8 + 1/20*j**5 + 3/80*j**6. Factor z(a).
-3*a**2*(a - 2)*(a + 1)**2/2
Determine n, given that -2/7*n**5 + 0 + 2/7*n**3 + 0*n - 2/7*n**2 + 2/7*n**4 = 0.
-1, 0, 1
Let i(n) be the first derivative of n**4/4 + 4*n**3/3 - 3. Factor i(t).
t**2*(t + 4)
Let h(x) = -4*x**3 + 26*x + 30. Let w(z) = -5*z**3 + 27*z + 29. Let s(c) = 3*h(c) - 2*w(c). Find y, given that s(y) = 0.
-2, 4
Let w(k) be the first derivative of 0*k - 2 + 1/6*k**4 + 2/45*k**5 + 1/9*k**2 + 2/9*k**3. Factor w(q).
2*q*(q + 1)**3/9
Let y(k) be the second derivative of k**6/15 - k**5/20 - k**4/4 + k**3/6 + k**2/2 - 44*k. Let y(g) = 0. What is g?
-1, -1/2, 1
Let l(x) be the first derivative of 8*x**5/25 - 11*x**4/20 - x**3/3 + 11*x**2/10 - 3*x/5 + 22. Factor l(t).
(t - 1)**2*(t + 1)*(8*t - 3)/5
Let o(j) be the second derivative of 5*j**4/12 - 5*j**3 + 25*j**2/2 + 3*j - 3. Find m such that o(m) = 0.
1, 5
Let j(n) be the first derivative of 0*n - 3 - 1/3*n**2 - 2/15*n**5 + 1/6*n**4 + 2/9*n**3. Suppose j(i) = 0. Calculate i.
-1, 0, 1
Let u(y) = -3*y**3 + 16*y**2. Let w(g) be the first derivative of -g**4 + 8*g**3 + 1. Let m(s) = 8*u(s) - 5*w(s). Factor m(i).
-4*i**2*(i - 2)
Let x(w) = -w**3 - 4*w**2 + 7*w - 4. Let f be x(-6). Let n = f - 103/4. Factor 1/4*p**3 + 0 + 0*p**2 - n*p.
p*(p - 1)*(p + 1)/4
Let r(d) be the second derivative of d**7/231 + 2*d**6/165 + d**5/1