f) be the third derivative of -f**7/42 + f**6/6 - f**5/4 - 5*f**4/6 + 10*f**3/3 + 22*f**2. Factor i(a).
-5*(a - 2)**2*(a - 1)*(a + 1)
Let u(g) be the first derivative of 23/3*g**3 + 14/3*g**2 + 35/6*g**4 - 6 + 5/3*g**5 + 4/3*g. Suppose u(q) = 0. What is q?
-1, -2/5
Suppose -5*n - 2*i - 39 = 54, 5*n = 3*i - 73. Let b = 17 + n. Suppose 7/4*k**2 + 1/2*k + b + 3/4*k**3 = 0. What is k?
-2, -1/3, 0
Let x(k) be the second derivative of k**4/4 + 8*k**3 + 45*k**2/2 - k - 4. Factor x(v).
3*(v + 1)*(v + 15)
Let d(u) be the third derivative of -u**7/420 + u**6/45 - u**5/12 + u**4/6 + u**3/3 - 3*u**2. Let a(n) be the first derivative of d(n). Factor a(t).
-2*(t - 2)*(t - 1)**2
Let m(b) = b + 2. Let r(n) = -n**2 - 12*n - 12. Let h(y) = -6*m(y) - r(y). Solve h(t) = 0 for t.
-6, 0
Determine u, given that -15*u**4 - 13*u**5 - 631*u**2 - 7*u**5 + 646*u**2 + 20*u**3 = 0.
-1, -3/4, 0, 1
Let x = -4 + 25. Let o = x - 21. Let 0 - 1/3*c**2 + o*c = 0. What is c?
0
Let c = 8 + -5. Factor 7*k**2 - c*k**2 - 6*k**2 + 2.
-2*(k - 1)*(k + 1)
Let s(g) be the first derivative of g**5/60 + g**4/24 + g**2/2 + 4. Let t(c) be the second derivative of s(c). Factor t(r).
r*(r + 1)
Suppose 0*v + 2955 = -5*v. Let o = v - -2397/4. Let -29/4*p**4 + 17/4*p**3 + o*p**2 + p - 21/4*p**5 - 1 = 0. Calculate p.
-1, -2/3, 2/7, 1
Let j(t) = -8*t**2 + 39*t + 7. Let c(v) = -4*v**2 + 20*v + 4. Let q(k) = -7*c(k) + 4*j(k). Suppose q(o) = 0. Calculate o.
0, 4
Let d(y) be the first derivative of -15/14*y**2 + 1 + 10/7*y**3 - 1/14*y**6 + 3/7*y + 3/7*y**5 - 15/14*y**4. Let d(c) = 0. Calculate c.
1
Let o(i) = -i**2 - 15*i + 3. Let z be o(-15). Let b(j) be the third derivative of 0*j**z - j**2 + 1/15*j**5 + 0*j + 0 - 1/60*j**6 + 0*j**4. Factor b(a).
-2*a**2*(a - 2)
Determine v so that -9/7*v + 6/7 + 3/7*v**2 = 0.
1, 2
Solve -1/4*l**3 + 1/4*l**2 + 0 - 1/4*l**4 + 1/4*l = 0 for l.
-1, 0, 1
Suppose 68*y**3 + 9*y**2 + 6*y - 70*y**3 - 3 - 2 = 0. Calculate y.
-1, 1/2, 5
Let p(m) be the second derivative of -1/20*m**4 - 2*m - 3/10*m**2 - 1/5*m**3 + 0. Factor p(r).
-3*(r + 1)**2/5
Let z(g) = -7*g**2 - 4*g - 1. Suppose s = 1, -8 = -2*r - 3*s + 5. Let b(m) = 2*m - m - 4*m**2 + r*m**2. Let w(u) = -2*b(u) + z(u). Factor w(k).
-(3*k + 1)**2
Let j(r) be the first derivative of -r**4/34 + 2*r**3/17 - 8*r/17 - 3. Solve j(t) = 0 for t.
-1, 2
Let w = 14 - 8. Let x(m) be the first derivative of 2 + m**2 - 2/5*m + m**4 - 4/3*m**3 + 1/15*m**w - 2/5*m**5. Find y, given that x(y) = 0.
1
Let p be 3*(-7)/(63/(-6)). Let q(i) be the second derivative of -1/21*i**3 - 1/42*i**4 + 0 + 0*i**p + 4*i. Let q(h) = 0. What is h?
-1, 0
Suppose -w + 3 - 6 = -p, 0 = -4*w + p - 3. Suppose 3 = -3*r, w = 3*v - 4*r - 12 - 4. Find i, given that i**3 + 0*i + 0 + 4/5*i**v + 1/5*i**2 = 0.
-1, -1/4, 0
Let n(r) be the second derivative of 10*r**7/189 + 2*r**6/45 - 17*r**5/45 + r**4/27 + 8*r**3/9 - 8*r**2/9 + r + 12. Let n(z) = 0. Calculate z.
-2, -1, 2/5, 1
What is v in -9/2 - 3/2*v**3 + 9/2*v**2 + 3/2*v = 0?
-1, 1, 3
Factor 1/3*j**2 + 2*j + 3.
(j + 3)**2/3
Factor -23*y + 2*y**3 + 39*y - 16*y - 4*y**2.
2*y**2*(y - 2)
Let p = 2 + 6. Let v = 8 + -6. What is d in -5*d**v + p*d**4 - d**2 + 2*d**3 - 2*d**2 - 2*d = 0?
-1, -1/4, 0, 1
Let y(g) be the third derivative of 0 + 0*g**3 + 1/96*g**4 - 1/120*g**5 + 0*g + 1/420*g**7 + 0*g**6 - g**2 - 1/1344*g**8. Factor y(i).
-i*(i - 1)**3*(i + 1)/4
Let t(y) = 54*y**3 + 170*y**2 - 138*y + 14. Let c(s) = -18*s**3 - 57*s**2 + 46*s - 5. Let i(q) = 20*c(q) + 6*t(q). Find p such that i(p) = 0.
-4, 1/3
Let f be (6/(-12))/(2/12*-1). Let j(d) be the second derivative of 0 + d + 1/12*d**4 + 0*d**f + 1/40*d**5 + 0*d**2. Determine m so that j(m) = 0.
-2, 0
Let c(y) be the second derivative of -11/30*y**4 + 0 + 2/5*y**2 + 81/50*y**5 - 21/25*y**6 - 3/5*y**3 + 2*y. Let c(z) = 0. What is z?
-1/3, 2/7, 1/3, 1
Let f(y) be the second derivative of y**9/15120 - y**8/3360 + y**6/360 - y**5/120 + y**4/12 - 2*y. Let m(b) be the third derivative of f(b). Factor m(s).
(s - 1)**3*(s + 1)
Let f(r) = r**4 + r**3 - r. Let n(d) = 20*d**4 + 4*d**3 - 36*d**2 - 52*d - 8. Let t(q) = 24*f(q) - n(q). Let t(z) = 0. Calculate z.
-2, -1
Let n(u) be the second derivative of -u**7/11340 - u**6/1620 - 7*u**4/12 - 4*u. Let a(l) be the third derivative of n(l). What is i in a(i) = 0?
-2, 0
Let s(v) be the first derivative of -v**3/5 + 3*v**2 - 15*v - 20. Suppose s(c) = 0. Calculate c.
5
Suppose -11 + 32 = 2*m - 3*j, 1 = -3*m - 2*j. Let -3/2*b**m - 1/2*b**2 + 0 - 1/2*b**5 - 3/2*b**4 + 0*b = 0. What is b?
-1, 0
Solve -8/7*t**2 + 24/7*t - 18/7 = 0 for t.
3/2
Let k be 2*(12/24 - (-3)/6). What is b in -3/7*b**3 - 9/7*b + 3/7 + 9/7*b**k = 0?
1
Suppose -3*l = -12*l + 36. Let n(q) be the first derivative of 2/3*q**3 + 3*q**2 + l*q + 1. Let n(r) = 0. Calculate r.
-2, -1
Factor 0*a**3 - a**2 + 0*a**3 + 15*a**3 + 7*a**2 + 9*a**4.
3*a**2*(a + 1)*(3*a + 2)
Let s(d) be the third derivative of d**7/630 - d**6/120 + d**5/60 - d**4/72 - 23*d**2. Factor s(u).
u*(u - 1)**3/3
Let m be (-2)/(-30)*(12 - 11). Let s(l) be the second derivative of m*l**6 - 1/3*l**4 + 0 + 0*l**3 + 2*l + 0*l**5 + l**2. Find w such that s(w) = 0.
-1, 1
Let i(r) be the second derivative of r**7/168 + r**6/60 - r**4/24 - r**3/24 + r. Solve i(u) = 0 for u.
-1, 0, 1
Let k(z) be the second derivative of -z**9/37800 + z**8/8400 - z**7/6300 + 3*z**4/4 + 4*z. Let h(t) be the third derivative of k(t). What is r in h(r) = 0?
0, 1
Let w(a) be the second derivative of 1/80*a**5 + 0*a**2 + 1/24*a**4 - 1/120*a**6 + 5*a + 0*a**3 + 0. Factor w(f).
-f**2*(f - 2)*(f + 1)/4
Let k(g) be the first derivative of 12/5*g**3 - 21/25*g**5 + 27/20*g**4 + 0*g - 2 - 6/5*g**2. Let k(d) = 0. Calculate d.
-1, 0, 2/7, 2
Let u = 62 + -62. Find j such that 3/2*j**3 + 0*j**2 + 0 - 27/4*j**4 + u*j + 21/4*j**5 = 0.
0, 2/7, 1
Let x(d) be the second derivative of d**6/35 - 9*d**5/140 + d**4/28 + 16*d. Factor x(o).
3*o**2*(o - 1)*(2*o - 1)/7
Suppose 0 - 1/5*m**4 + 1/5*m**2 + 1/5*m**3 - 1/5*m**5 + 0*m = 0. Calculate m.
-1, 0, 1
Suppose 12 = 5*b - 3*g, -g + 2*g + 4 = -2*b. Let u = 2 - b. Find s such that -s + 4 + s**2 - u - 2 = 0.
0, 1
Let v = 3 + 2. Let g(p) be the second derivative of 2/3*p**4 + 4/15*p**6 + 0*p**2 - 1/3*p**3 - 1/21*p**7 + 2*p - 3/5*p**v + 0. What is f in g(f) = 0?
0, 1
Factor -104/3*t**2 + 18*t**3 + 46/3*t + 4/3.
2*(t - 1)**2*(27*t + 2)/3
Let g(b) be the second derivative of b**4/32 + b**3/8 + 3*b**2/16 - 8*b. Let g(l) = 0. Calculate l.
-1
Let k = 0 - 0. Factor 2*v**4 + 10*v**3 - 6*v**3 + k*v**3 + 2*v**2.
2*v**2*(v + 1)**2
Let n(g) be the first derivative of -g**6/14 + 6*g**5/35 - 3*g**4/28 - 3. Solve n(z) = 0 for z.
0, 1
Let b(p) be the second derivative of -p**6/2 + 2*p**5 - 5*p**4/2 + 5*p**2/2 - 4*p. Factor b(m).
-5*(m - 1)**3*(3*m + 1)
Solve 4*t + 16*t - 4*t - 4*t**2 - 12 = 0 for t.
1, 3
Let o = 2/33 - -3/11. Factor 2/3 - o*y - y**2.
-(y + 1)*(3*y - 2)/3
Let o(s) be the third derivative of -1/10*s**5 + s**2 - 1/105*s**7 + 0*s**3 + 1/12*s**4 + 1/20*s**6 + 0*s + 0. Suppose o(q) = 0. Calculate q.
0, 1
Suppose -2*h = 3*h - 15. Let t(l) = -l**2 - l + 1. Let k(j) = 8*j**2 + 6*j - 5. Let v(n) = h*t(n) + k(n). Let v(x) = 0. What is x?
-1, 2/5
Let w(i) be the first derivative of -i**5/90 - i**4/54 + 2*i - 1. Let d(t) be the first derivative of w(t). Factor d(m).
-2*m**2*(m + 1)/9
Let g(d) be the third derivative of -d**7/105 - d**6/30 - 6*d**2. Determine f so that g(f) = 0.
-2, 0
Let t(w) = 2*w - 5. Let o be t(4). Let j be 13/18 - (-1)/(-2). Factor 0 + 2/9*m**5 + j*m**2 - 2/9*m**o - 2/9*m**4 + 0*m.
2*m**2*(m - 1)**2*(m + 1)/9
Let f(n) = n**3 + 10*n**2 - 4*n + 1. Suppose -30 = -2*v + 7*v. Let q(u) = u**3 + 9*u**2 - 3*u + 1. Let r(o) = v*f(o) + 7*q(o). Factor r(t).
(t + 1)**3
Let w(h) be the second derivative of 1/12*h**4 - 7*h + 0*h**2 + 1/3*h**3 + 0. Let w(n) = 0. What is n?
-2, 0
Let q = 0 + 0. Suppose 10*s = 7*s + 6. Find j such that -2/7*j**s + q*j - 2/7*j**3 + 0 + 4/7*j**4 = 0.
-1/2, 0, 1
Let n be (22 + -22)*(-2)/(-4). Let u(r) be the third derivative of -1/90*r**5 + n - 2*r**2 + 1/18*r**4 + 0*r + 0*r**3. Factor u(m).
-2*m*(m - 2)/3
Let d(u) be the first derivative of 4*u**3/3 + 2*u**2 + 8. Determine y so that d(y) = 0.
-1, 0
Determine l so that -28/5*l - 7/5*l**5 - 8/5 - 2/5*l**4 + 7*l**3 + 2*l**2 = 0.
-2, -1, -2/7, 1, 2
Let 