*w**2 + 16/13 + 4/13*w = 0.
-2, 4
Let g(k) = -5*k - 17. Let i be g(-4). Find u such that -7/3*u**i + 4/3*u + 0 - 4*u**2 = 0.
-2, 0, 2/7
Let n(d) be the third derivative of d**8/840 - d**7/525 - 4*d**2. Factor n(b).
2*b**4*(b - 1)/5
Let t(u) = -u**2 - 1. Let v(i) = -i**2 + 8*i + 5. Let a(x) = -3*t(x) + v(x). Find y such that a(y) = 0.
-2
Let a(w) be the third derivative of w**5/180 - w**4/9 + 8*w**3/9 + 7*w**2. Factor a(l).
(l - 4)**2/3
Let n(m) be the second derivative of m**8/84 - 4*m**7/105 + 2*m**5/15 - m**4/6 + 7*m**2/2 - 2*m. Let d(z) be the first derivative of n(z). Solve d(o) = 0.
-1, 0, 1
Let i(t) = t - 4. Let p be i(8). Factor 3*w**p - 3*w**3 + 26*w + w**2 + 19*w - 45*w - w**5.
-w**2*(w - 1)**3
Determine d so that 0*d + 6/13*d**2 + 2/13*d**5 - 2/13*d**3 - 6/13*d**4 + 0 = 0.
-1, 0, 1, 3
Suppose 4*z = 8*z - 20. Let h(i) = -i**3 + 4*i**2 + 5*i + 3. Let o be h(z). Solve 1/3*t + 2/3*t**2 + 1/3*t**o + 0 = 0.
-1, 0
Suppose 10 = 2*r + 2. Find b, given that 3*b**3 + 0*b**3 + 0*b**3 - 3*b**5 + 6*b**2 - 2*b**r - 4*b**4 = 0.
-2, -1, 0, 1
Let q(o) = o**3 - 18*o**2 + 30*o + 36. Let r be q(16). Let u = 134/189 - -4/27. Solve -6/7*c - 4/7*c**2 + 4/7*c**3 + 2/7*c**5 + u*c**r - 2/7 = 0.
-1, 1
Let w(m) be the first derivative of 7*m**4/36 - 5*m**3/18 - m**2/3 + 3*m + 4. Let i(b) be the first derivative of w(b). Let i(c) = 0. Calculate c.
-2/7, 1
Let v = 0 - -7. Suppose -5*d - v*h = -2*h - 20, -2*h = 4*d - 8. Find j, given that -9 + 6*j + d*j**2 + 2*j**2 - 3*j**2 = 0.
3
Suppose 4*j + 20 = -5*z, 5*z + 15 = -6*j + 3*j. Let -1/2*m + z - 1/2*m**4 - 7/4*m**2 - 7/4*m**3 = 0. What is m?
-2, -1, -1/2, 0
Let b(v) be the second derivative of -5*v**7/168 + 5*v**6/24 - 9*v**5/16 + 35*v**4/48 - 5*v**3/12 - 15*v. Let b(q) = 0. What is q?
0, 1, 2
Let y(n) be the third derivative of n**11/166320 - n**9/30240 - n**5/60 - 3*n**2. Let b(o) be the third derivative of y(o). Factor b(k).
2*k**3*(k - 1)*(k + 1)
Let g = 16 + -14. Factor -g*b**4 - 6*b**3 + 3*b**5 + 4*b**4 - b**3 + 5*b**2 - 3*b**2.
b**2*(b - 1)*(b + 2)*(3*b - 1)
Let k = -38/9 - -50/9. Let t = 74 - 72. Factor k*x**t + 0*x**3 - 2/3*x**4 - 2/3 + 0*x.
-2*(x - 1)**2*(x + 1)**2/3
Let n(o) = o**2 - o - 1. Let g(p) = -7*p**2 + 7*p + 8. Suppose -4*v = 9 + 15. Let t(i) = v*n(i) - g(i). Let t(m) = 0. What is m?
-1, 2
Determine p so that 62/21*p**3 + 38/21*p**4 + 8/21*p**5 + 2/21*p - 4/21 + 38/21*p**2 = 0.
-2, -1, 1/4
Let l = 44/15 - 8/15. Suppose l*d**2 + 2/5*d**3 + 24/5*d + 16/5 = 0. What is d?
-2
Find m, given that 1 + 2*m + 0*m**4 + 8*m**2 - 4*m**3 - 5 + 2*m**5 - 4*m**4 + 0*m = 0.
-1, 1, 2
Let c(f) be the second derivative of -5*f**5/9 - 65*f**4/27 + 58*f**3/27 - 2*f**2/3 - 37*f. Factor c(q).
-4*(q + 3)*(5*q - 1)**2/9
Factor 0 + 0*x**2 + 6/5*x**3 + 2/5*x**4 - 8/5*x.
2*x*(x - 1)*(x + 2)**2/5
Let x(u) be the third derivative of u**7/70 + 7*u**6/120 - 11*u**5/20 + 11*u**4/8 - 5*u**3/3 - 2*u**2 + 10*u. Let x(q) = 0. Calculate q.
-5, 2/3, 1
Let q = 65 - 58. Let o(u) be the second derivative of 2*u + 4/7*u**q + 0 - 1/10*u**5 + 1/15*u**6 + 0*u**3 + 0*u**4 + 0*u**2. Solve o(y) = 0 for y.
-1/3, 0, 1/4
Let u(x) be the second derivative of 0 + 0*x**3 + 1/4*x**4 + 3*x - 3/2*x**2. Solve u(a) = 0.
-1, 1
Let l(r) = -r**2 - 2*r + 1. Let c be l(-3). Let p be 3 + c*(-1)/(-2). Factor 4 - 5 + i**p + 0.
(i - 1)*(i + 1)
Let s(y) be the second derivative of 1/3*y**3 + 0*y**2 - y + 0 + 0*y**4 - 1/10*y**5. Factor s(b).
-2*b*(b - 1)*(b + 1)
Let r(y) be the second derivative of -2*y**4/45 - y**3/9 - y**2/15 + 6*y. Factor r(s).
-2*(s + 1)*(4*s + 1)/15
Determine b, given that -2/13*b**4 + 2/13*b**2 + 6/13*b + 0 - 6/13*b**3 = 0.
-3, -1, 0, 1
Let h(g) be the third derivative of g**7/245 + g**6/120 + g**5/210 + 20*g**2. Let h(o) = 0. What is o?
-2/3, -1/2, 0
Let k(u) be the second derivative of u**5/40 + u**4/24 - u**3/6 + u. Determine b, given that k(b) = 0.
-2, 0, 1
Suppose -2*l - 2 - 1/2*l**2 = 0. Calculate l.
-2
Let l be (-73)/(-4) + 1/(-4). Let q be (2/l)/((-5)/(-15)). Factor 0 + 0*v + 4/3*v**2 + 5/3*v**4 - q*v**5 - 8/3*v**3.
-v**2*(v - 2)**2*(v - 1)/3
Let h(f) be the third derivative of -f**6/480 + f**5/48 - f**4/32 - 3*f**3/8 - 11*f**2. Factor h(g).
-(g - 3)**2*(g + 1)/4
Suppose 2*k + 2 = 8. Let 0 - 1/3*x**4 + 1/3*x + 1/3*x**2 - 1/3*x**k = 0. What is x?
-1, 0, 1
Let j = 60 + -119/2. Determine u so that 1/2 + j*u**4 - 2*u**3 + 3*u**2 - 2*u = 0.
1
Let m be ((-1)/36)/((-1)/2). Let x(a) be the second derivative of a + 1/6*a**2 + m*a**3 - 1/60*a**5 - 1/36*a**4 + 0. Find f, given that x(f) = 0.
-1, 1
Solve -4/3*s + 0*s**3 + 0 + 2*s**2 - 2/3*s**4 = 0 for s.
-2, 0, 1
Let v(l) be the third derivative of l**7/70 - 73*l**6/600 + 19*l**5/50 - l**4/2 + 4*l**3/15 + 16*l**2. Let v(t) = 0. Calculate t.
1/5, 2/3, 2
Let s(w) be the second derivative of 2/9*w**4 - 1/5*w**5 + 0*w**2 - 1/9*w**3 - 1/63*w**7 - 3*w + 0 + 4/45*w**6. Factor s(n).
-2*n*(n - 1)**4/3
Let p(o) be the third derivative of -o**6/900 - o**5/100 - o**4/30 + 5*o**3/6 - 3*o**2. Let b(u) be the first derivative of p(u). What is l in b(l) = 0?
-2, -1
Let k(d) be the third derivative of -2*d**2 + 0*d + 7/360*d**6 + 7/180*d**5 + 1/315*d**7 + 1/36*d**4 + 0*d**3 + 0. Find i, given that k(i) = 0.
-2, -1, -1/2, 0
Suppose 5*x + 5*r - 2 = 9*r, -3*x + 5*r - 4 = 0. Let i(j) be the first derivative of x + j**2 - 4*j + 2/3*j**3. Solve i(o) = 0 for o.
-2, 1
Let u be (84/16 - 5)*0. Factor 2/7*v - 2/7*v**3 + 0*v**2 + u.
-2*v*(v - 1)*(v + 1)/7
Factor -1/8*t**2 + 0 + 1/8*t.
-t*(t - 1)/8
Factor 3/5*j**4 + 9*j - 21/5*j**2 + 54/5 - 9/5*j**3.
3*(j - 3)**2*(j + 1)*(j + 2)/5
Let o(r) be the third derivative of -1/2*r**3 + 2*r**2 + 1/24*r**4 + 0*r + 1/20*r**5 - 1/120*r**6 + 0. Factor o(x).
-(x - 3)*(x - 1)*(x + 1)
Factor -10 + m**2 - 3*m**2 + 2 + 0*m**2 - 8*m.
-2*(m + 2)**2
Let q(l) = -l**2 - 10*l - 14. Let o(i) = 3*i**2 + 31*i + 41. Let x(f) = 6*o(f) + 21*q(f). Suppose x(p) = 0. What is p?
-4
Let t(d) = -d**2 + d - 1. Let f(q) = 3 + 2*q - 8*q - 6 + 0*q + 9*q**2 + 3*q**3. Let z(n) = f(n) + 3*t(n). Factor z(c).
3*(c - 1)*(c + 1)*(c + 2)
Let n(u) be the second derivative of 1/75*u**6 - 1/25*u**5 + 0*u**3 + 0*u**2 + 0*u**4 + 0 + 1/105*u**7 + 6*u. What is m in n(m) = 0?
-2, 0, 1
Let 8*k**2 + 14*k**2 - 20 + 5*k**3 - 7*k**2 = 0. Calculate k.
-2, 1
Let p(u) = 2*u**2 - 10*u + 8. Let o be p(4). Find l, given that 2/11*l**5 + 0*l**2 + 2/11*l**3 + 0 + 4/11*l**4 + o*l = 0.
-1, 0
Let f(s) be the second derivative of -s**5/110 - 2*s**4/33 + 5*s**3/33 + 13*s + 2. Factor f(m).
-2*m*(m - 1)*(m + 5)/11
Let j(o) be the second derivative of -3*o**5/140 - o**4/14 + 7*o. Factor j(f).
-3*f**2*(f + 2)/7
Let m(t) be the first derivative of 0*t + 3/4*t**4 + 0*t**3 - 3 + 0*t**2. Factor m(i).
3*i**3
Let t(f) be the first derivative of -f**8/2240 + 3*f**7/1120 - f**6/240 - f**3 - 1. Let k(r) be the third derivative of t(r). Suppose k(u) = 0. Calculate u.
0, 1, 2
Let j(u) be the second derivative of 2/27*u**4 + 0 - 3*u - 2/9*u**2 - 2/135*u**6 - 1/27*u**7 - 7/27*u**3 + 7/45*u**5. Find l, given that j(l) = 0.
-1, -2/7, 1
Let z(s) = 1. Let w(g) = 3*g**2 - 18*g + 22. Let m = -5 - -4. Let t(q) = m*w(q) - 5*z(q). Determine o, given that t(o) = 0.
3
Let j(v) be the second derivative of v**6/50 - 6*v**5/25 + 9*v**4/10 - 81*v**2/10 + 4*v. Factor j(r).
3*(r - 3)**3*(r + 1)/5
Let t(d) be the first derivative of -1/18*d**3 + 1/3*d - 1 - 1/12*d**2. Determine r, given that t(r) = 0.
-2, 1
Let p be (-32)/(-42) - (-3 + (-34)/(-14)). Factor 2*m + 2/3*m**2 + p.
2*(m + 1)*(m + 2)/3
Let f = -238 - -242. Factor 0*r - 1/3*r**2 - 5/6*r**f + 7/6*r**3 + 0.
-r**2*(r - 1)*(5*r - 2)/6
Suppose -u - 2*g = -0*g - 4, -3*u = 5*g - 11. Let b be (1 + 0)*4 - 0. Factor b*q - 3*q**3 - u*q + 0*q - q**2.
-q*(q + 1)*(3*q - 2)
Let a(r) be the first derivative of 2*r**7/105 + r**6/60 - r**5/30 - r**2 - 1. Let c(q) be the second derivative of a(q). Suppose c(f) = 0. Calculate f.
-1, 0, 1/2
Let j(f) be the third derivative of f**5/180 - f**3/18 + 11*f**2. Solve j(c) = 0 for c.
-1, 1
Let m be 51/186 - 3/6. Let q = 13/217 - m. Factor -2/7*c + 0 - 2/7*c**2 + q*c**3 + 2/7*c**4.
2*c*(c - 1)*(c + 1)**2/7
Let h(l) be the third derivative of l**8/336 + l**7/105 + l**6/120 + 44*l**2. Factor h(c).
c**3*(c + 1)**2
Let w be 10 + (-30)/6 + 56/(-16). Determine l so that w + 6*l**3 - 3/2*l**2 - 6*l = 0.
-1,