 1)*(4*b - 3)
Let p(f) = 6*f**4 - 63*f**3 + 270*f**2 - 62*f. Let j(i) = i**4 + i**3 - i**2 + i. Let d(v) = -2*j(v) + p(v). Let d(t) = 0. Calculate t.
0, 1/4, 8
Let t be (0 + -58)*(-1)/(-4). Let d = t - -15. Factor 1/2*u**5 + d*u + 0 - u**3 + 0*u**4 + 0*u**2.
u*(u - 1)**2*(u + 1)**2/2
Let z(o) be the second derivative of o**8/1120 - o**7/280 + o**6/240 - o**3/3 - o. Let f(g) be the second derivative of z(g). Find b, given that f(b) = 0.
0, 1
Let f = 4957/7 + -707. Let z(u) be the first derivative of -2/21*u**3 - 4/7*u**2 - 1 - f*u. Factor z(s).
-2*(s + 2)**2/7
Let n(t) be the first derivative of -4*t**3/3 + 4*t**2 + 9. Let n(c) = 0. What is c?
0, 2
Let s(b) = -25*b + 169. Let r(t) = t**2 - t. Let a(y) = -r(y) - s(y). Factor a(z).
-(z - 13)**2
Find l such that 3/2*l**3 + 0*l + 0*l**2 + 0 - 3*l**4 + 3/2*l**5 = 0.
0, 1
Let z(q) be the first derivative of q**4/10 + 8*q**3/15 + 3*q**2/5 + 5. What is o in z(o) = 0?
-3, -1, 0
Let j(u) be the second derivative of 1/3*u**3 + 0 - 2*u**2 + 2*u + 1/6*u**4. Factor j(g).
2*(g - 1)*(g + 2)
Let g be (12/3)/20 - (-10)/25. Factor g*p**4 - 3/5*p**3 - 9/5*p**2 + 3*p - 6/5.
3*(p - 1)**3*(p + 2)/5
Let f = 7/11 + -3/22. Solve -1/4 + 3/4*c - 3/2*c**3 + 3/4*c**5 - 1/4*c**4 + f*c**2 = 0 for c.
-1, 1/3, 1
Let z(s) = -3*s**2 + 8*s - 7. Let k(m) = m**2 - m. Let j(l) = -4*k(l) - z(l). Let y be j(-5). Factor 0 - 1/2*p + 1/2*p**3 - 1/2*p**y + 1/2*p**4.
p*(p - 1)*(p + 1)**2/2
Determine y, given that 4/3*y - 1/3*y**3 + 4/3 - 1/3*y**2 = 0.
-2, -1, 2
Let r(u) be the first derivative of -u + 7 + 3 - u**2 + u**3 + 1 - 1. Solve r(v) = 0 for v.
-1/3, 1
Let y(t) be the second derivative of -1/30*t**6 + 0*t**4 + 0 + 1/3*t**3 + 1/2*t**2 - 5*t - 1/10*t**5. Let y(s) = 0. Calculate s.
-1, 1
Let j be -1 - 1 - (-12)/3. Factor u**2 - u**j + 2*u**2.
2*u**2
Let i(p) be the first derivative of -p**3/3 + 5*p**2/2 - 10. Factor i(k).
-k*(k - 5)
Let v(n) be the first derivative of -n**6/3 - 9*n**5/10 - 3*n**4/4 - n**3/6 - 14. Solve v(o) = 0.
-1, -1/4, 0
Factor 4/3*r + 2/3*r**2 + 0.
2*r*(r + 2)/3
Let n(a) be the first derivative of 1/3*a**3 - 1/3*a**4 + 2*a + 0*a**2 - 2 + 1/10*a**5. Let w(o) be the first derivative of n(o). Let w(u) = 0. Calculate u.
0, 1
Let j be 10 + (-4 - -2) - (0 + 4). Determine c, given that -1/5*c**j + 0*c**2 - 1/5*c**5 + 0 + 0*c + 0*c**3 = 0.
-1, 0
Let t(w) = 2*w**4 - 4*w**3 - w**2 + 3*w - 3. Let u(f) = -14*f**4 + 28*f**3 + 8*f**2 - 22*f + 22. Let n(s) = -44*t(s) - 6*u(s). Factor n(o).
-4*o**2*(o - 1)**2
Suppose -40 = -13*k - 14. Find b such that -4/5 - 14/5*b - 2*b**k = 0.
-1, -2/5
Determine k so that -5 - 18*k**2 - 12*k**3 - 12*k - 4 + 6 - 3*k**4 = 0.
-1
Let a(m) be the third derivative of m**7/1050 - m**6/600 - m**5/300 + m**4/120 - 57*m**2. Factor a(x).
x*(x - 1)**2*(x + 1)/5
Let b(l) be the first derivative of -l**4/4 - l**3 - l**2 + 5. Suppose b(n) = 0. Calculate n.
-2, -1, 0
Suppose 8/3 - 4/3*y**3 + 8/3*y - 2*y**2 + 2/3*y**4 = 0. Calculate y.
-1, 2
Let r(n) be the third derivative of 0*n**3 + 0 + 1/8*n**4 - 3*n**2 + 1/5*n**5 + 0*n. Solve r(t) = 0.
-1/4, 0
Solve -3/2 - 21/2*d**4 + 12*d**2 + 6*d**5 - 3*d - 3*d**3 = 0.
-1, -1/4, 1
Suppose 37*g + 9*g = 3*g. Let 0*k - 3/4*k**2 + 3/4*k**3 + g = 0. What is k?
0, 1
Suppose -2*u + 6 = -5*u. Let k(a) = a**2 - 2*a - 3. Let t be k(u). Factor 0*o + 2/9*o**3 - 2/9*o**4 + 0 + 2/9*o**2 - 2/9*o**t.
-2*o**2*(o - 1)*(o + 1)**2/9
Let h = -2 - -8. Suppose -2*n = -3*n + h. Factor 7*u**4 + 0*u**4 - n*u**4 + u**5.
u**4*(u + 1)
Let j(o) be the second derivative of -o**5/90 + o**4/54 + o**3/27 - o**2/9 - 17*o. Factor j(t).
-2*(t - 1)**2*(t + 1)/9
Let y(o) be the second derivative of -4*o + 0*o**2 + 0*o**3 - 1/54*o**4 + 0. Factor y(r).
-2*r**2/9
Let d be -2*(6/(-39) + 0). Let c = -2/91 + d. Factor 2/7*t**2 + 2/7*t**5 - 2/7*t**4 + 0*t - c*t**3 + 0.
2*t**2*(t - 1)**2*(t + 1)/7
Let f(i) be the second derivative of 1/15*i**3 + 3/50*i**5 + 0 + 1/75*i**6 + 0*i**2 + 1/10*i**4 + i. Factor f(z).
2*z*(z + 1)**3/5
Let k(y) be the first derivative of -y**5/5 - 13*y**4/4 - 16*y**3 - 18*y**2 + 10. Factor k(n).
-n*(n + 1)*(n + 6)**2
Let q(w) = -8*w**3 + 3*w**2 + 3*w. Let j(x) = -7*x**3 + 2*x**2 + 2*x. Let v(h) = -3*j(h) + 2*q(h). Determine l so that v(l) = 0.
0
Suppose -d = 2*d - 6. What is i in -2 - i + i**d - i + 3*i = 0?
-2, 1
Let m = 114/7 + -449/28. Factor 0 - m*h + 9/8*h**2.
h*(9*h - 2)/8
Let q be (-1)/((-3)/(-6)) + 4. Suppose -2*n + 12 = q*n. Factor -n*p - p**3 + 2*p - p**2 + 3*p**2.
-p*(p - 1)**2
Suppose -2*d = 5 - 9. Let p(t) = -3*t - 4. Let o be p(-3). Factor 0*l**d - o - 2*l**4 + 4*l**2 + 3.
-2*(l - 1)**2*(l + 1)**2
Let o(n) be the third derivative of -n**8/840 - n**7/525 + n**6/150 + n**5/75 - n**4/60 - n**3/15 + 19*n**2. Factor o(k).
-2*(k - 1)**2*(k + 1)**3/5
Let v(x) be the second derivative of -x**5/60 - x**4/4 - 3*x**3/2 - 9*x**2/2 - x. Let v(i) = 0. Calculate i.
-3
Let s = 881 - 879. Factor 0*z + 14/3*z**3 - 4/3*z**s - 10/3*z**4 + 0.
-2*z**2*(z - 1)*(5*z - 2)/3
Let p(m) be the third derivative of -m**5/180 - 13*m**4/36 - 169*m**3/18 - 22*m**2. Determine x, given that p(x) = 0.
-13
Let 52*g + 45*g + 100*g**3 + 180*g**2 - g + 16 = 0. What is g?
-1, -2/5
Let k(o) = -o**3 + 7*o**2 + 7*o + 10. Let z be k(8). Let j(f) be the second derivative of f + 1/36*f**4 - 1/6*f**z + 0 + 0*f**3. Factor j(d).
(d - 1)*(d + 1)/3
Let t(k) be the first derivative of -3/2*k**2 - 2*k - 1/3*k**3 - 4. Solve t(z) = 0.
-2, -1
Let j(z) be the second derivative of z**4/30 + 24*z. Factor j(o).
2*o**2/5
Let c be -1*(5 + -5)*2/(-4). Let m(l) be the third derivative of 0*l + 0*l**3 + 1/168*l**8 + 0*l**7 + c - 1/30*l**6 + 0*l**5 - 3*l**2 + 1/12*l**4. Factor m(g).
2*g*(g - 1)**2*(g + 1)**2
Let m be (-3 - 1884/(-28)) + 2. Let q = m + -66. Let -2/7 + 2/7*x - 2/7*x**3 + q*x**2 = 0. Calculate x.
-1, 1
Let n(f) be the third derivative of f**6/660 - f**5/22 + 25*f**4/44 - 125*f**3/33 + 4*f**2. Find b such that n(b) = 0.
5
Let k = -11 - -12. Suppose -5*x + 12 = 5*h - 2*x, 5*x - k = -2*h. Factor 2/7 - 2/7*i**4 + 4/7*i - 4/7*i**h + 0*i**2.
-2*(i - 1)*(i + 1)**3/7
Let h be (2/4)/(3/6). Let j be h + 16/6 + -3. Factor 2/3*k + 0 - j*k**3 + 0*k**2.
-2*k*(k - 1)*(k + 1)/3
What is t in -4/11*t**3 + 6/11*t**4 + 0*t**2 - 2/11*t**5 + 0 + 0*t = 0?
0, 1, 2
Let s(p) be the second derivative of -p**7/1260 + p**6/90 - p**5/15 + p**4/2 + 6*p. Let l(d) be the third derivative of s(d). Factor l(w).
-2*(w - 2)**2
Let q(i) = -11*i**2 + 24*i - 40. Let x(h) = 7*h**2 - 16*h + 27. Let v(d) = -5*q(d) - 8*x(d). Factor v(y).
-(y - 4)**2
Let f(y) be the first derivative of -5*y + 2/3*y**3 + 5 + 1/12*y**4 + 2*y**2. Let l(h) be the first derivative of f(h). Factor l(a).
(a + 2)**2
Let a(k) be the first derivative of -3*k**4/8 + 5*k**3/4 - 3*k**2/4 - 13. Solve a(o) = 0 for o.
0, 1/2, 2
Let p = 11 + -7. Let 3 + 4*v**2 - 5*v - v**3 - 4 + p - 1 = 0. What is v?
1, 2
Let w = -11/39 - -8/13. Find o, given that -w + o - o**2 + 1/3*o**3 = 0.
1
Let f(x) = 3*x**2 - 14*x - 4. Let p(i) = -2*i**2 + 13*i + 5. Let u(q) = -3*f(q) - 4*p(q). Let s be u(-9). Factor s - 6 - m**2 + 4 + 2.
-(m - 1)*(m + 1)
Suppose 16*t**2 - 5*t**3 - 36*t - 23*t**3 - 76*t**2 - 4*t**4 = 0. What is t?
-3, -1, 0
Let q = -285 + 1428/5. Factor -q*b**2 + 12/5*b - 12/5.
-3*(b - 2)**2/5
Let b = -191/6 - -32. Let p(x) be the second derivative of -b*x**4 + 0*x**3 + 2*x + 1/5*x**5 - 1/15*x**6 + 0 + 0*x**2. Let p(z) = 0. Calculate z.
0, 1
Suppose 0 = -4*s - 4*l + 16, -2*l - 2*l + 16 = 0. Solve s*h**5 + 2*h**5 - 6*h**5 + 48*h - 16 + 12*h**4 + 4*h**3 - 44*h**2 = 0.
-2, 1, 2
Let q(o) be the third derivative of -o**6/660 + o**4/132 - 7*o**2. Factor q(u).
-2*u*(u - 1)*(u + 1)/11
Let i(l) be the second derivative of 0*l**2 + 3*l + 0 + 0*l**3 + 1/36*l**4. Suppose i(g) = 0. What is g?
0
Suppose -4*s = -9*s + 20. Determine c, given that -37/2*c**3 + 3/2*c**2 + 8*c + 1/2*c**s + 21/2*c**5 - 2 = 0.
-1, 2/7, 2/3, 1
Suppose -8/11*v - 8/11*v**3 - 2/11 - 2/11*v**4 - 12/11*v**2 = 0. What is v?
-1
Solve -9/7*s**3 - 48/7*s**2 - 45/7*s + 54/7 = 0 for s.
-3, 2/3
Suppose 2*a = 1 + 1. Suppose 0 = 5*x + a - 16. Find f such that -1/2*f - 5*f**4 - 6*f**3 - x*f**2 - 3/2*f**5 + 0 = 0.
-1, -1/3, 0
Suppose 4/23*f**3 + 2/23*f**5 - 8/23*f**4 + 8/23*f**2 - 6/23*f + 0 = 0. Calculate f.
-1, 0, 1, 3
Let u = 82 - 572/7. Factor u*j**2 + 0*j - 2/7.
2*(j