t c(f) be the second derivative of f**4/66 + 42*f**3/11 + 3969*f**2/11 + f - 42. Factor c(d).
2*(d + 63)**2/11
Determine j, given that 0*j - 37 - 18*j - j**2 + 41 - 4 = 0.
-18, 0
Let 0*r**2 + 0*r + 0 + 1/5*r**3 + 1/5*r**4 = 0. What is r?
-1, 0
Let j(z) = z**2 - z - 22. Let x be j(-5). Let c be (-22)/(-176) + (-1)/x. Factor c + 14/3*l**2 - 4/3*l.
2*l*(7*l - 2)/3
Find g such that -2/9*g**3 - 4/3*g**2 + 20/9 - 2/3*g = 0.
-5, -2, 1
Let j = -263138/71 - -3706. Let v = j - -593/568. Factor 1/8*t**3 - 3/8 - 5/8*t**2 + v*t.
(t - 3)*(t - 1)**2/8
Let r(a) be the first derivative of -36*a**5/5 + 2940*a**4 - 964312*a**3/3 + 319480*a**2 - 106276*a - 142. Factor r(g).
-4*(g - 163)**2*(3*g - 1)**2
Suppose 18*j = -258 + 312. Solve 1/3*r - 1/3*r**2 + 1/9*r**j - 1/9 = 0 for r.
1
Let p(f) be the third derivative of -8*f**2 - 1/30*f**5 + 0*f + 0 + 0*f**3 + 1/45*f**6 - 1/36*f**4. Let p(v) = 0. Calculate v.
-1/4, 0, 1
Let y(r) = -4*r**2 - 29*r - 36. Let b(g) = 10*g**2 + 72*g + 90. Let t = 57 - 62. Let v(u) = t*b(u) - 12*y(u). Suppose v(d) = 0. What is d?
-3
Let y(i) be the second derivative of -i**8/6720 + i**6/240 - i**5/60 - i**4/12 - 14*i. Let n(p) be the third derivative of y(p). Factor n(o).
-(o - 1)**2*(o + 2)
Let z(n) = 4*n**3 + 11*n**2 + 6*n - 5. Let a(y) = 2*y**3 + 6*y**2 + 4*y - 3. Let w(s) = 5*a(s) - 3*z(s). Let w(x) = 0. Calculate x.
-2, 0, 1/2
Let y be 6/24 + (-26)/(-33). Let p = y + 40/33. Factor 1/4*x**3 + p*x**2 + 27/4*x + 27/4.
(x + 3)**3/4
Factor -5*u - 15*u**2 + 0 - 15/2*u**4 - 65/4*u**3 - 5/4*u**5.
-5*u*(u + 1)**2*(u + 2)**2/4
Let i(o) be the third derivative of 0 - 18*o**2 + 0*o - 2/15*o**3 + 1/300*o**5 + 0*o**4. Factor i(p).
(p - 2)*(p + 2)/5
Suppose l = 3*x - 0 + 4, x + 12 = 3*l. Let w = x + 4. Factor 2*s**2 - w*s - 2 - 4*s**2 + 0.
-2*(s + 1)**2
Let x(k) be the second derivative of 1/50*k**6 + 3*k + 0*k**4 + 1/5*k**3 + 0 - 3/10*k**2 - 3/50*k**5. Factor x(v).
3*(v - 1)**3*(v + 1)/5
Let z(r) = 14*r**3 - 53*r**2 + 114*r - 75. Let u(i) = -40*i**3 + 160*i**2 - 342*i + 224. Let b(p) = 3*u(p) + 8*z(p). Factor b(o).
-2*(o - 4)*(2*o - 3)**2
Suppose -4*z + 30 - 81 = -3*w, -4*z - 4*w = 72. Let y(n) = -n**2. Let r(l) = -2*l**2 + l. Let o(a) = z*y(a) + 6*r(a). Solve o(b) = 0.
-2, 0
Let -5/2*t**3 + 60*t + 115/2*t**2 + 0 = 0. What is t?
-1, 0, 24
Determine m, given that -m - 4*m**2 - 470*m**3 + 468*m**3 + m + 10*m + 12 = 0.
-3, -1, 2
Let g(m) be the first derivative of -m**6/18 + m**5/15 + 3*m**4/4 - 13*m**3/9 - 4*m**2/3 + 4*m - 204. Solve g(w) = 0.
-3, -1, 1, 2
Let q(x) = -5*x**4 - 28*x**3 - 71*x**2 + 225*x - 135. Let r(u) = -6*u**4 - 28*u**3 - 70*u**2 + 224*u - 136. Let b(v) = -8*q(v) + 7*r(v). Solve b(k) = 0.
-4, 1, 16
Let b(v) be the second derivative of 2/25*v**5 + 13*v + 0 + 1/5*v**2 + 1/75*v**6 - 2/15*v**3 - 1/15*v**4 - 2/105*v**7. Find m such that b(m) = 0.
-1, 1/2, 1
Let j be (4/(-2) + (-456)/18)*-3. Let i = -736/9 + j. Let i*c**2 + 0 - 2/9*c = 0. What is c?
0, 1
Solve -157 - 12*p**3 + 12*p**3 + 4*p**3 + 24*p**2 + 29 = 0 for p.
-4, 2
Let p(g) be the second derivative of g**5/5 - 4*g**3/3 + 2*g**2 - 2*g. Let d(t) = 4*t**3 - t**2 - 8*t + 3. Let k(z) = -4*d(z) + 3*p(z). Factor k(c).
-4*c*(c - 2)*(c + 1)
Factor 0*n + 23/7*n**3 + 4/7*n**2 + 0 + 30/7*n**4 - 9/7*n**5.
-n**2*(n - 4)*(3*n + 1)**2/7
Let w(q) = -3*q**2 + 15*q + 2. Let u(c) = c + 2. Let v be u(-5). Let a(s) = -3*s**2 + 15*s + 3. Let y(m) = v*w(m) + 2*a(m). What is t in y(t) = 0?
0, 5
Suppose 4*l - 1 = -j + 10, -l - 7 = -3*j. Let n(i) be the first derivative of -5 - 2*i - 2/3*i**2 - 2/27*i**j. Find c, given that n(c) = 0.
-3
Suppose 2*d - 5*r = 11, 0*d + 4*d + r = 77. Suppose 3*w = -3*f + 12 + 6, w + d = 5*f. Factor -10*p - 19*p**2 - 6*p + 4*p**w - 2*p - 3.
-3*(p + 1)*(5*p + 1)
Let k = 56 - 42. Suppose 3*g**3 - g**3 + 20*g**3 + 8*g**2 + k*g**3 + 28*g**4 = 0. Calculate g.
-1, -2/7, 0
Suppose -7*d - 21 = -14*d. Determine m, given that 27*m - 8*m**4 - 18*m**d + 13*m**5 - 7*m**5 - 7*m**5 = 0.
-3, 0, 1
Let a(w) be the first derivative of -1/2*w**3 + 18 - 9/2*w**2 - 12*w. What is q in a(q) = 0?
-4, -2
Let l = 7 - 2. Suppose -6*b = -26 + 14. Determine a so that -2*a - 4*a - b*a**2 + 3 + l*a**2 = 0.
1
Let u(h) be the third derivative of 40*h**2 + 0 + 0*h**3 + 1/6*h**4 - 1/90*h**5 + 0*h. Determine f, given that u(f) = 0.
0, 6
Suppose -4*x + 1724 = 5*f, 0 = -x + 4*x + 2*f - 1286. Factor -10*j - 102*j - 394 - 62*j**2 - 8*j**3 + x.
-2*(j + 4)**2*(4*j - 1)
Let c = 1/165 - 211/165. Let j = 39/22 + c. Factor 1/2*l**3 + 1/2*l**2 - j - 1/2*l.
(l - 1)*(l + 1)**2/2
Let d = 631 - 629. Let p(a) be the second derivative of 1/70*a**5 + 0 - 8/7*a**d + 4/7*a**3 + 6*a - 1/7*a**4. Determine t, given that p(t) = 0.
2
Let r(y) be the first derivative of 5*y**3/3 + 885*y**2/2 + 880*y - 938. Determine v, given that r(v) = 0.
-176, -1
Factor -1/2*c + 1/2*c**3 + 5/2*c**2 - 5/2.
(c - 1)*(c + 1)*(c + 5)/2
Let s(g) be the third derivative of -1/3*g**6 + 0 - 8/5*g**5 + 22*g**2 - 2/105*g**7 + 5/3*g**4 + 50/3*g**3 + 0*g. What is t in s(t) = 0?
-5, -1, 1
Suppose 4*x + 2*c - 14 = 0, -2*c + 0 = -x + 6. Let v be ((-18)/(-4))/((-18)/(-12)). Factor x*h - 3 + 0*h + 2*h - v*h**2.
-3*(h - 1)**2
Let f(k) be the second derivative of -15/2*k**2 + 7/6*k**6 - 36*k - 5/2*k**5 + 0 + 25/3*k**3 - 5/3*k**4. Solve f(x) = 0 for x.
-1, 3/7, 1
Let n(q) be the second derivative of -q**4/16 - 7*q**3/8 - 9*q**2/2 + 63*q + 2. Factor n(z).
-3*(z + 3)*(z + 4)/4
Let o(t) be the first derivative of 3*t**4/4 - 6*t**3 + 27*t**2/2 - 12*t - 208. Determine q, given that o(q) = 0.
1, 4
Factor 22 + 29*l - 77 + 34 + 31 + 27*l**2 - l**4 + 7*l**3.
-(l - 10)*(l + 1)**3
Let m = 780 - 3938/5. Let p = -36/5 - m. Suppose 0 - 2/5*a**3 + 2/5*a**2 - p*a**4 + 2/5*a = 0. What is a?
-1, 0, 1
Let b = 1882 - 1882. Solve q**3 + 0 + b*q**2 - 1/2*q + 0*q**4 - 1/2*q**5 = 0.
-1, 0, 1
Let t(h) be the first derivative of -h**6/18 + 2*h**5/5 - h**4/12 - 8*h**3/3 - 8*h**2/3 - 84. Solve t(a) = 0 for a.
-1, 0, 4
Let z(c) be the second derivative of -c**6/5 - 2*c**5/5 - c**4/6 + 3*c + 43. Factor z(p).
-2*p**2*(p + 1)*(3*p + 1)
Let b(k) = -k**2 - 8*k + 36. Suppose 29 = -3*n - 2*g, 4*g - 10 = -g. Let r be b(n). What is m in 0 + 0*m**r - 2/5*m**4 + 2/5*m**2 + 0*m = 0?
-1, 0, 1
Suppose -u - u - 40 = 3*z, 2*u - 72 = 5*z. Let t be (-24)/z - (-4)/14. Factor d**t + 5*d**2 - 8*d**2.
-2*d**2
Let h(t) = 2*t**5 + t**4 - 16*t**3 - 53*t**2 - 13*t + 16. Let p(y) = -y**3 + y**2 + y. Let v(z) = -4*h(z) - 36*p(z). Determine r, given that v(r) = 0.
-2, -1, 1/2, 4
Let i(g) = g**3 + 1. Let r = 14 + -26. Let d(o) be the first derivative of -7*o**4/2 + 3*o**2 - 8*o + 69. Let m(f) = r*i(f) - d(f). Find c such that m(c) = 0.
-1, 2
Suppose 2*u - 48 = 4*s, -7*s - 8 = -3*s. Suppose -3*t = -u + 5. Determine j, given that 0 + 2/11*j - 2/11*j**t - 4/11*j**2 + 0*j**3 + 4/11*j**4 = 0.
-1, 0, 1
Suppose f - 5*i + 160 = 6*f, -5*i = -5*f + 110. Let n be -1*f/36*(0 + -4). Factor 1 - 2*r - 1/4*r**n + 5/4*r**2.
-(r - 2)**2*(r - 1)/4
Let g(a) be the second derivative of 4*a**6/135 + 13*a**5/30 + 17*a**4/36 - 14*a**3/27 - a**2/2 + 116*a. What is n in g(n) = 0?
-9, -1, -1/4, 1/2
Let n be (-1)/(2/(-12)*2). Suppose 0 = -3*y + 6, 6*m - 4*m - n*y = 18. Suppose 2*z**2 - 24*z + m*z + z**3 + 12*z = 0. What is z?
-2, 0
Let y(a) be the second derivative of 9*a**4/4 + 7*a**3/2 - 3*a**2 + 248*a. Let y(l) = 0. Calculate l.
-1, 2/9
Let a(u) be the second derivative of -5*u**7/42 + 5*u**6/3 - 37*u**5/4 + 80*u**4/3 - 130*u**3/3 + 40*u**2 - 150*u. Suppose a(p) = 0. What is p?
1, 2, 4
Let c(d) be the second derivative of -d**5/80 - d**4/12 + d**3/24 + d**2/2 + 62*d. Solve c(k) = 0.
-4, -1, 1
Let o(i) = i**3 - i**2. Let f(x) = 20*x**3 - 15*x**2. Let v(s) = -f(s) + 15*o(s). Factor v(k).
-5*k**3
Let 0*v - 3/2*v**3 - v**4 - 1/6*v**5 + 0 + 0*v**2 = 0. What is v?
-3, 0
Let v = -36 - -47. Suppose 2*i - v = -1. Determine p so that -1/5*p**i + 2/5*p + 1/5*p**4 + 3/5*p**3 - p**2 + 0 = 0.
-2, 0, 1
Suppose -2*s + 18 = 5*a, -4*a + 0*s + 17 = -s. Let g be (-69)/(-165) - (-148)/814. Factor -1/5*b**2 + 1/5*b**5 + 3/5*b**3 + 0*b + 0 - g*b**a.
b**2*(b - 1)**3/5
Let x = 24418/3 + -8137. Suppose -1/3*j**3 - x*j + 1 + 5/3*j**2 = 0. Calculate j.
1, 3
Factor 2/21*t**5 + 0*t**2 + 0 - 16/21*t**3 + 32/21*t + 0*t**4.
2*t*(t - 2)**2*(t + 2)**2/21
Let r(w) be the third derivative