+ 1)**2
Let l(f) be the third derivative of 0 - 3/10*f**5 + 1/16*f**6 - 4*f**2 - 11/16*f**4 + 0*f + 3/2*f**3. Factor l(r).
3*(r - 3)*(r + 1)*(5*r - 2)/2
Let p = -2/409 - -836/3681. Let b(f) be the second derivative of -p*f**3 + 0 - 2*f - 7/18*f**4 + 1/3*f**2 - 2/15*f**5. Solve b(i) = 0.
-1, 1/4
Let b(i) be the third derivative of -i**8/48 + 9*i**7/35 - 4*i**6/5 - 8*i**5/15 - 8*i**2. What is u in b(u) = 0?
-2/7, 0, 4
Let x(i) = -i**3 + 7*i**2 - 6*i + 5. Let v be x(6). Factor f**3 + v*f - 5*f - 2*f**4 + 3*f**4.
f**3*(f + 1)
Let f(k) = -k**2 - 7*k + 2. Let i be f(-7). Suppose a + 9 = g, i*g + a - 28 = 5*a. Determine y so that -10/3*y**2 - 2*y**g + 0 - 2/3*y - 14/3*y**3 = 0.
-1, -1/3, 0
Let k be 1 - (1/3 - 66/(-693)). Factor k*p - 2/7*p**2 - 2/7.
-2*(p - 1)**2/7
Let a = 74 - 72. Let q(p) be the second derivative of 0*p**a + 0 - 1/48*p**4 + 0*p**3 - 2*p - 1/120*p**6 - 1/40*p**5. Solve q(k) = 0.
-1, 0
Let d(x) = 2*x**3 - 3*x - 3. Let z be d(-3). Let o be (-868)/z - (-4)/6. Factor -o*c**2 + 15*c - 3.
-3*(5*c - 2)**2/4
Let q = 10 + -2. Suppose -c + q = 1. What is p in -p**2 + 9*p**2 + c*p**3 - 4 - p**3 - 10*p = 0?
-2, -1/3, 1
Let q(a) be the third derivative of -a**7/3780 + a**5/180 + a**4/8 + 5*a**2. Let r(z) be the second derivative of q(z). Solve r(u) = 0 for u.
-1, 1
Let x(a) be the first derivative of -a**6/54 + a**5/45 + 5*a**4/36 - a**3/27 - 4*a**2/9 - 4*a/9 - 15. Find g such that x(g) = 0.
-1, 2
Let n = -6 - -9. Suppose 12 = n*q + q. Factor p - 2*p**2 + 4*p**q - 3*p**3 + 0*p**2.
p*(p - 1)**2
Suppose 2*y = 5*q - 3*q, 3*q + 3*y = 12. What is r in -3*r**4 + 0*r**3 - q*r + r**4 + 2*r**2 + 2*r**3 = 0?
-1, 0, 1
Let i(x) be the third derivative of -x**5/300 + x**3/30 + 11*x**2. Factor i(f).
-(f - 1)*(f + 1)/5
Let v(y) = -7*y**5 + y**4 + 17*y**3 - y**2 - 6*y + 2. Let k(z) = 6*z**5 - 18*z**3 + 6*z - 3. Let c(p) = 2*k(p) + 3*v(p). Let c(o) = 0. What is o?
-1, -2/3, 0, 1
Suppose 0 = 5*l - 3*l. Solve l*u - 2/5*u**2 + 0 = 0.
0
Suppose 28*c = -0*c. Factor 1/3*u**2 + c*u + 0.
u**2/3
Let r(l) = -41*l**3 - 10*l**2 + 146*l + 34. Let y(f) = 40*f**3 + 10*f**2 - 145*f - 35. Let b(i) = -5*r(i) - 6*y(i). Determine t so that b(t) = 0.
-2, -2/7, 2
Let u(b) be the second derivative of 0 - 1/18*b**4 - 2*b - 4/3*b**2 + 4/9*b**3. Find d, given that u(d) = 0.
2
Let q(x) = x**3 - 2*x**2 + 2. Let d be q(2). Let n = d - -3. Suppose 57/2*p**2 + 2 + 12*p + 39/2*p**4 + 67/2*p**3 + 9/2*p**n = 0. What is p?
-1, -2/3
Let v(j) be the second derivative of j**5/130 + j**4/78 - 3*j. Factor v(z).
2*z**2*(z + 1)/13
Find x such that -x**5 - 5 - 5*x**3 + 5*x - 2*x**2 + 3*x**3 - 2*x + 4 + 3*x**4 = 0.
-1, 1
Let p(h) be the third derivative of h**2 + 1/150*h**6 + 1/30*h**5 - 1/30*h**4 + 0*h + 0*h**3 + 0 - 1/105*h**7. Determine n so that p(n) = 0.
-1, 0, 2/5, 1
Find o such that 5*o**4 + 5*o**2 + 3*o**3 + 2*o - o + 4*o**3 - 2*o**4 = 0.
-1, -1/3, 0
Suppose u + 7 = 2*m, u + u = -2*m + 10. Find v such that -1/3*v**m + 0*v**3 - 1/3 + 0*v + 2/3*v**2 = 0.
-1, 1
Factor -3/5*j + 7/5*j**5 - 12/5*j**4 - 4/5*j**3 + 14/5*j**2 - 2/5.
(j - 1)**3*(j + 1)*(7*j + 2)/5
Let t(l) be the second derivative of l**4/36 - l**3/18 + 4*l. Determine k, given that t(k) = 0.
0, 1
Let f(m) = -9*m**2 + m - 2. Let d be f(2). Let a be 2*(-3 - d/8). Factor 2/11*p**a + 0 + 2/11*p**2 + 0*p.
2*p**2*(p + 1)/11
Let t(q) be the first derivative of -2*q**7/105 + q**6/30 - 5*q**2/2 + 5. Let s(m) be the second derivative of t(m). Find h such that s(h) = 0.
0, 1
Let t(h) = h - 7. Let k be t(6). Let s(n) = -3*n**4 - 21*n**3 - 9*n**2 - 12*n - 3. Let b(g) = -g**3 + g**2. Let p(r) = k*s(r) + 9*b(r). Factor p(x).
3*(x + 1)**4
Let y = 1395 + -1395. Let -16/7*n**2 + y*n - 4/7*n**4 - 16/7*n**3 + 0 = 0. Calculate n.
-2, 0
Suppose 4*g + 3*n - 33 = 0, -2*g + 0*n + 18 = 2*n. Let l be (-15)/(g/(-2)) + -3. Let 2*f**3 + 2 - f**5 - l - f = 0. Calculate f.
-1, 0, 1
Let r(f) be the first derivative of 9*f**4/4 + 7*f**3 + 15*f**2/2 + 3*f - 18. Factor r(v).
3*(v + 1)**2*(3*v + 1)
Let d be (1 + 5/(-7))*-1. Let y = -1/28 - d. Factor 1/4 + y*f**2 - 1/2*f.
(f - 1)**2/4
Suppose 0 = 14*o - 13*o. Let d(g) be the first derivative of o*g - 1/3*g**6 - 3*g**4 + 3 - 8/3*g**3 - 8/5*g**5 - g**2. Suppose d(z) = 0. Calculate z.
-1, 0
Factor 3*b**5 + 27*b**3 - 15*b**4 - b**4 - 2*b**4.
3*b**3*(b - 3)**2
Let x(s) be the first derivative of -2*s**5/105 + 2*s**3/21 - 2*s**2/21 + 4. Suppose x(v) = 0. Calculate v.
-2, 0, 1
Suppose -4*s = -3*z + 11, -3*z + 6*s = 10*s - 19. What is r in 2/5*r**2 - 12/5*r**3 - 8/5*r**z + 0*r + 0 + 18/5*r**4 = 0?
0, 1/4, 1
Solve -11*d**4 - 2*d**2 + 5*d**4 + 6*d**2 - 13*d**3 + 11*d**3 = 0 for d.
-1, 0, 2/3
Let p(i) be the third derivative of i**6/90 - 2*i**5/45 - i**4/18 + 4*i**3/9 + 8*i**2. Factor p(w).
4*(w - 2)*(w - 1)*(w + 1)/3
Let p(z) be the second derivative of -z**7/105 + z**5/15 - z**3/3 - 3*z**2/2 - z. Let t(x) be the first derivative of p(x). Suppose t(i) = 0. Calculate i.
-1, 1
Let b = 6 + -14. Let v be 5/(-2)*b/10. Suppose x - x**2 + 3*x**v + 4*x**3 - 3*x**3 = 0. What is x?
-1, 0
Suppose m = -0*m - 14. Let n be ((-16)/(-28))/((-4)/m). Factor 0*x - 2/3*x**n + 2/3.
-2*(x - 1)*(x + 1)/3
Let v(q) = q**2. Let u(i) = -6*i**2 + 14*i. Let a(p) = u(p) + 4*v(p). Let s be a(7). Determine t, given that 1/3*t**3 + 0*t**2 + 0*t + s + 1/3*t**4 = 0.
-1, 0
Let h(g) be the first derivative of 0*g**2 + 9 - 2/21*g**3 + 2/7*g. Factor h(y).
-2*(y - 1)*(y + 1)/7
Let r be (-1 - (-6)/(2/1)) + 0. What is s in -1/2 + 5/4*s + 7/4*s**r = 0?
-1, 2/7
Suppose 0*u = -7*u + 14. Let p be (-2)/(-7)*14/3. Factor -p - 4/3*r - 1/3*r**u.
-(r + 2)**2/3
Let j(q) = q + 27. Let x be j(-24). Determine h, given that -1/2*h**4 + 0*h**x - h + 3/2*h**2 + 0 = 0.
-2, 0, 1
Let f = -18 + 128/7. Let z(i) be the first derivative of f*i + 2 - 3/7*i**2 + 2/7*i**3 - 1/14*i**4. Solve z(n) = 0 for n.
1
Suppose 2*v - 3 = 1. Factor 2/5*g**5 + 2/5*g + 0*g**v - 4/5*g**3 + 0*g**4 + 0.
2*g*(g - 1)**2*(g + 1)**2/5
Suppose 2*n - 100 = -3*n. Suppose -5*r + 67 = 3*h, -2*r + 6 = h - n. Factor o - 2*o**3 + o - 11 + r.
-2*o*(o - 1)*(o + 1)
Let f(n) be the second derivative of n**7/14 + n**6/35 - 9*n**5/20 - 5*n**4/7 - 2*n**3/7 - 46*n. Solve f(k) = 0 for k.
-1, -2/7, 0, 2
Let b(h) = h**2 + h + 2. Let i be b(0). Find o such that -4*o + 0*o**2 + i*o + 4*o + o**2 - o**3 = 0.
-1, 0, 2
Solve -1/5*s**4 + 1/5*s**2 + 0 + 2/5*s - 3/5*s**3 + 1/5*s**5 = 0.
-1, 0, 1, 2
Let l(r) = -2*r**2 - 6*r**2 + 1 + r - 2*r**2 - 4. Let f = 7 - -1. Let d(z) = -30*z**2 + 4*z - 8. Let s(c) = f*l(c) - 3*d(c). Factor s(h).
2*h*(5*h - 2)
Let z(r) = -6*r**2 - 32*r + 6. Let u(w) = 11*w**2 + 64*w - 11. Let o(k) = -6*u(k) - 13*z(k). Factor o(f).
4*(f + 3)*(3*f - 1)
Let m(w) = 5*w**2 + 5*w. Let c(l) = -11*l**2 - 11*l. Let r(d) = 2*c(d) + 5*m(d). Let r(j) = 0. What is j?
-1, 0
Let p(g) = -21*g**2 - 72*g - 69. Let c(l) = -5*l**2 - 18*l - 17. Let w(v) = 9*c(v) - 2*p(v). Determine n, given that w(n) = 0.
-5, -1
Factor 6/5*c**3 + 0 - 2/5*c**4 - 6/5*c**2 + 2/5*c.
-2*c*(c - 1)**3/5
Let c(h) be the third derivative of h**8/448 - h**7/70 + h**6/40 + h**5/40 - 5*h**4/32 + h**3/4 - 4*h**2 - 2*h. Let c(v) = 0. Calculate v.
-1, 1, 2
Factor -2/9*l**4 - 8/9*l**3 - 4/3*l**2 - 2/9 - 8/9*l.
-2*(l + 1)**4/9
Let c(y) be the first derivative of -y**4/12 - 5*y**3/9 - y**2 - 8. Suppose c(b) = 0. What is b?
-3, -2, 0
Suppose 0 - 20/7*f**4 - 16/7*f**2 - 16/7*f + 52/7*f**3 = 0. What is f?
-2/5, 0, 1, 2
Let w(m) be the second derivative of 1/14*m**4 + 0 + 1/70*m**5 - 2*m + 1/7*m**2 + 1/7*m**3. Suppose w(b) = 0. Calculate b.
-1
Suppose -21/2*g**4 - 3/2*g**2 + 15/2*g**3 + 9/2*g**5 + 0 + 0*g = 0. What is g?
0, 1/3, 1
Let q(a) be the third derivative of a**5/420 + a**4/42 + a**3/14 - 51*a**2. Let q(w) = 0. What is w?
-3, -1
Let m(u) = 4*u**3 - 4*u. Suppose -5*i = 13 - 48. Suppose -35 = 5*g + 4*h, -4*g + 1 = -4*h - i. Let r(p) = 7*p**3 - 7*p. Let d(o) = g*r(o) + 5*m(o). Factor d(k).
-k*(k - 1)*(k + 1)
Factor -4*k**2 - 95 + 40 - 38*k - 10*k - 89.
-4*(k + 6)**2
Let h = 8 - -8. Suppose 3 + 5 = s - 5*w, -h = -2*s + 2*w. Find y, given that 8*y**4 + 6*y - s*y**3 - 4 - 2*y**5 - 4*y**2 + 4*y + 0*y**5 = 0.
-1, 1, 2
Let p = -3/88 + -49/1144. Let y = p - -15/26. Factor 0 - y*a + 1/2*a**2.
a*(a - 1)/2
Let y = 4 - 2. Let j = 0 + y. Let -2 + 5*l**5 + 4*l**j - 4*l**3 - 2*l**4 - l - 3*l**5 