tive of y**3/3 - y + 6. Factor g(f).
(f - 1)*(f + 1)
Let d = 23 - 11. Factor -v**4 + 12*v**3 - 5*v**2 + d*v - 4 - 13*v**2 + 1 - 2*v**4.
-3*(v - 1)**4
Let g(f) be the first derivative of 4*f**3/15 + 4*f**2 + 20*f + 12. Find n such that g(n) = 0.
-5
Let d(z) be the first derivative of -2/27*z**3 + 2 + 1/3*z**2 - 4/9*z. Factor d(g).
-2*(g - 2)*(g - 1)/9
Let v be ((-6)/7)/(42/(-28)). Let v*m - 2/7*m**2 + 0 = 0. Calculate m.
0, 2
Let g(l) be the first derivative of -l**4/72 - l**3/18 - l**2/12 - 6*l + 3. Let u(j) be the first derivative of g(j). Solve u(v) = 0 for v.
-1
Let m(t) be the first derivative of 5*t**6/6 - 4*t**5 - 10*t**4 + 70*t**3/3 + 35*t**2/2 - 50*t + 22. Determine l so that m(l) = 0.
-2, -1, 1, 5
Let x be (-2 - -1)/((-3)/9). Let c = 7 - x. Solve -19*q**5 + 19*q**c - 4*q**3 + 2*q**4 + 5*q**5 - 3*q**4 = 0.
0, 2/7, 1
Let y(c) be the first derivative of -c**6/630 - c**5/140 - c**4/84 - c**3/3 + 3. Let a(q) be the third derivative of y(q). Let a(h) = 0. Calculate h.
-1, -1/2
Suppose m + 25 = -5*s, 2*m + 3*m + 2*s + 10 = 0. Factor 1/2*c + 1/2*c**2 + m.
c*(c + 1)/2
Let n(o) be the second derivative of -2/15*o**3 + 3*o + 0*o**2 + 0 - 1/10*o**4 - 1/50*o**5. Factor n(r).
-2*r*(r + 1)*(r + 2)/5
Let j = 4 - 2. Suppose -5*w - 20 = -2*u - 3*u, 2*u = w + 7. Solve -4*m + 6*m + 3 - 6*m**j - u = 0 for m.
0, 1/3
Factor -2/3*i + 0 - 2/9*i**2.
-2*i*(i + 3)/9
Suppose 30*w - 198 = -3*w. Solve -9/2*z - 1 - 5/2*z**3 - w*z**2 = 0.
-1, -2/5
Let l(c) be the second derivative of -c**7/42 - c**6/15 + c**4/6 + c**3/6 + 11*c. Factor l(p).
-p*(p - 1)*(p + 1)**3
Let r(g) = -10*g**2 + 8*g + 20. Let o(i) = 0 - 6 - i**2 + 7. Suppose -f + 1 + 0 = 0. Let m(a) = f*r(a) - 12*o(a). Solve m(l) = 0 for l.
-2
Let b(d) = -3*d**3 - d**2 - d - 1. Let g be b(-1). Let r = -35 + 176/5. Let -r*t**g + 0 + 0*t = 0. What is t?
0
Suppose w = 20 - 18. Find s, given that 2/9*s**3 - 2/9*s**w + 0*s + 0 = 0.
0, 1
Let j be (-1)/7 + (-7)/(196/(-18)). Factor 1/4*d**2 + 1/4 - j*d.
(d - 1)**2/4
Let u(a) = 16*a + 128. Let x be u(-8). Suppose 0*l + x + 1/8*l**2 = 0. What is l?
0
Suppose -3*n = 2*n - 15. Suppose -7*i**2 + 6*i**2 - i**4 + 2*i**3 + 0*i**n = 0. What is i?
0, 1
Let m(x) be the first derivative of -8*x**5/5 - 3*x**4 + 4*x**3/3 + 6*x**2 + 4*x + 1. Suppose m(o) = 0. Calculate o.
-1, -1/2, 1
Let 3*o**2 - 5 + 3 - o - o**4 + 2 - 2 + o**3 = 0. Calculate o.
-1, 1, 2
Let h be -2 + 4 - (0 - 2). Let s be ((-21)/14)/((-2)/h). Factor -2/5*q**s + 6/5*q**2 + 2/5 - 6/5*q.
-2*(q - 1)**3/5
Let y(g) be the third derivative of -g**5/20 - g**4/8 + g**3 + 12*g**2. Find c, given that y(c) = 0.
-2, 1
Let n(s) be the first derivative of -2/25*s**5 - 1 + 2/5*s**2 + 0*s + 0*s**4 + 2/5*s**3. Factor n(l).
-2*l*(l - 2)*(l + 1)**2/5
Let q(o) = 9*o - 225. Let j be q(25). Factor j*m**2 - 2/3*m + 2/3*m**3 + 0.
2*m*(m - 1)*(m + 1)/3
Let j be 1 - -3 - (-12 + 12). Suppose 0 = 3*k - y, k = -y - 0*y. Factor -4*a - j*a**2 + 2*a**2 + k*a.
-2*a*(a + 2)
Let h(p) be the second derivative of -6*p**7/49 - 8*p**6/21 - 13*p**5/35 - 2*p**4/21 - 26*p. Factor h(f).
-4*f**2*(f + 1)**2*(9*f + 2)/7
Let o(b) be the third derivative of -b**6/660 - b**5/165 + b**4/132 + 2*b**3/33 + b**2 - b. Find f, given that o(f) = 0.
-2, -1, 1
Let s = -15/4 + 21/4. Let s*d**2 + 1/4 - d**3 + 1/4*d**4 - d = 0. What is d?
1
Let i(g) = g**2 - 3*g - 14. Let m be i(6). Find o such that -m*o + 17*o**2 + o - 5*o - 13*o**2 = 0.
0, 2
Let v(a) be the first derivative of a**3/33 + a**2/11 + a/11 + 37. Factor v(u).
(u + 1)**2/11
Let n(p) be the third derivative of 1/480*p**6 + 7*p**2 - 1/12*p**3 - 1/60*p**5 + 5/96*p**4 + 0*p + 0. Factor n(l).
(l - 2)*(l - 1)**2/4
Let u(a) be the second derivative of a**5/210 - a**4/84 + a**2 - 3*a. Let h(b) be the first derivative of u(b). What is t in h(t) = 0?
0, 1
Let z(j) = j**3 - 5*j**2 + 5*j + 4. Let x(l) = l**2 - 5*l - 2. Let w be x(6). Let h be z(w). Factor 8*u - 8 + h*u - 2*u**2 - 8*u.
-2*(u - 2)**2
Let t(g) be the first derivative of -g**4/2 + 8*g**3/3 - 4*g**2 - 1. Solve t(c) = 0 for c.
0, 2
Let z(f) be the second derivative of f**7/357 - f**5/85 + f**3/51 + 14*f. Factor z(c).
2*c*(c - 1)**2*(c + 1)**2/17
Solve 2/5*i + 0 + 1/5*i**3 + 3/5*i**2 = 0 for i.
-2, -1, 0
Suppose 4*l = -26 + 34. Solve -1/4*m**4 + m**3 + 0 + 1/2*m - 5/4*m**l = 0.
0, 1, 2
Let n(g) be the first derivative of g**6/105 - g**5/35 + g**4/42 + 3*g - 2. Let o(u) be the first derivative of n(u). Factor o(w).
2*w**2*(w - 1)**2/7
Let h be (10*4)/(10/(-25)). Let n = 503/5 + h. Factor -n*q**3 - 2/5 + 2/5*q**2 + 3/5*q.
-(q - 1)*(q + 1)*(3*q - 2)/5
Let w = -17 - -17. Let x(f) be the second derivative of 0 - 3*f + f**2 + 0*f**3 + w*f**5 - 1/3*f**4 + 1/15*f**6. Suppose x(k) = 0. Calculate k.
-1, 1
Suppose 0 = -5*j + 1 + 14. Let a = -1 + j. Factor -v + 0 - 1/4*v**3 - v**a.
-v*(v + 2)**2/4
Suppose -4*s + 33 + 15 = 0. Suppose 4*q - 4 - s = 0. Solve 2/5*d**q + 6/5*d**2 + 8/5*d**3 - 8/5 - 8/5*d = 0.
-2, -1, 1
Suppose 0 = -2*m + 15 - 11. Suppose -14/5*v**m + 8/5 - 6/5*v**4 - 4*v**3 + 8/5*v = 0. Calculate v.
-2, -1, 2/3
Let a(i) be the third derivative of i**7/2520 + i**6/540 + 4*i**3/3 + 6*i**2. Let j(v) be the first derivative of a(v). Solve j(w) = 0 for w.
-2, 0
Let h(p) = -26*p**3 + 14*p**2. Let c(i) = 27*i**3 - 13*i**2 + i. Let a(n) = -4*c(n) - 5*h(n). Factor a(z).
2*z*(z - 1)*(11*z + 2)
Suppose 2/3*w**3 + 2/3*w**4 - 2/3*w + 4/3 - 2*w**2 = 0. Calculate w.
-2, -1, 1
Let r(o) be the first derivative of 5*o**6/6 - o**5 - 15*o**4/4 + 5*o**3/3 + 5*o**2 + 12. Suppose r(s) = 0. What is s?
-1, 0, 1, 2
Suppose -12/17*o + 6/17*o**4 - 28/17*o**3 + 2*o**2 + 0 = 0. Calculate o.
0, 2/3, 1, 3
Let l(h) = h**3 + h**2 - h + 1. Let o(g) = 2*g**4 + 3*g**3 + 5*g**2 - 5*g + 5. Let w(p) = -5*l(p) + o(p). Factor w(j).
2*j**3*(j - 1)
Let r(b) be the third derivative of 0*b**4 + 3*b**2 - 1/70*b**7 + 0*b + 0 + 1/90*b**5 + 0*b**3 + 7/360*b**6. What is v in r(v) = 0?
-2/9, 0, 1
Let v(r) be the third derivative of r**6/150 + 2*r**5/75 - r**4/30 - 4*r**3/15 - 2*r**2. Determine a, given that v(a) = 0.
-2, -1, 1
Solve 0*w - 2/5*w**2 + 1/5 + 1/5*w**4 + 0*w**3 = 0 for w.
-1, 1
Let b(a) be the second derivative of -a**4/9 + 4*a**3/9 + 32*a. Factor b(w).
-4*w*(w - 2)/3
Let v = 11 - 21. Let o be (-12 - v)/(9/(-1)). Find h such that -2/9*h**3 + o + 2/3*h**2 - 2/3*h = 0.
1
Let m(z) = -3*z**2 + 11*z + 14. Let u(f) = 21*f**2 - 78*f - 99. Let k(q) = -15*m(q) - 2*u(q). Solve k(l) = 0 for l.
-1, 4
Let g = 852/5 - 169. Factor -g*t**3 + 0 + 2/5*t + t**2.
-t*(t - 1)*(7*t + 2)/5
Let w(y) = 9*y**3 - 4*y**2 - 13*y. Let p(u) = -2*u**3 + u**2 + 3*u. Let n(m) = 26*p(m) + 6*w(m). Solve n(c) = 0 for c.
-1, 0
Let -7*l**4 + 0*l**4 + 17*l**5 + 8*l**2 + 4*l**3 - 13*l**4 - 9*l**5 = 0. What is l?
-1/2, 0, 1, 2
Let r(w) = -7 + 9*w**2 - 1 - 4. Let d(b) = b**2 - 1. Let p(z) = -12*d(z) + r(z). Factor p(v).
-3*v**2
Let s = 17 - 17. Let u = s + 4. Let -1/2*m**u - 5/2*m**2 - m + 0 - 2*m**3 = 0. Calculate m.
-2, -1, 0
Let v(a) be the second derivative of -2/3*a**3 + 0*a**2 + 7*a + 1/5*a**5 + 1/3*a**4 + 0 - 2/15*a**6. Factor v(n).
-4*n*(n - 1)**2*(n + 1)
Let p be -1*(-16)/(1 - 3). Let l(x) = 2*x**3 + x**2 - 3*x. Let r(z) = -5*z**3 - 3*z**2 + 8*z. Let c(t) = p*l(t) - 3*r(t). Factor c(g).
-g**2*(g - 1)
Let r(m) = 131*m**4 + 232*m**3 + 116*m**2 - 12*m - 12. Let x(j) = 654*j**4 + 1161*j**3 + 579*j**2 - 60*j - 60. Let f(y) = -24*r(y) + 5*x(y). Solve f(v) = 0.
-1, -2/3, -1/2, 2/7
Let h(b) be the second derivative of -b**4/66 + 4*b**3/33 - 3*b**2/11 - 7*b. Solve h(l) = 0 for l.
1, 3
Let u be 10/(-72) - (-4)/24. Let s(v) be the third derivative of 1/90*v**5 + 0*v**3 - u*v**4 + 2*v**2 + 0 + 0*v. Factor s(o).
2*o*(o - 1)/3
Let u(m) be the third derivative of 15*m**5 - 10*m**4 + 8*m**3/3 - 24*m**2. Factor u(l).
4*(15*l - 2)**2
Let s(p) be the third derivative of -1/3*p**3 + 0*p + 1/6*p**4 + 1/240*p**6 + 0 - 1/24*p**5 - 3*p**2. Factor s(x).
(x - 2)**2*(x - 1)/2
Let o(d) = -d**2 + 5*d - 4. Let u be o(4). Factor 0 - 2/9*y**5 + 0*y**3 + u*y + 0*y**2 - 2/9*y**4.
-2*y**4*(y + 1)/9
Let a(i) be the first derivative of 2 - 2*i**2 + 1/3*i**3 + 4*i. Suppose a(u) = 0. What is u?
2
Let o be (1 - (4 + -3))/(-4). Factor o - 1/3*u**5 + 0*u - 1/3*u**2 + 1/3*u**3 + 1/3*u**4.
-u**2*(u - 1)**2*(u + 1)/3
Let x(z) be the second derivative of 2*z**5 + 19*z**4/3 + 22*z**