 0. Calculate x.
-1, 0, 2/9
Suppose f + 3 = 0, -2*o = -o - 4*f - 76. Let a = o - 383/6. Find u, given that 0 - 1/3*u**2 + 1/6*u + a*u**3 = 0.
0, 1
Let l(p) = -33*p**2 - 255*p - 6090. Let o(g) = 2*g**2 - g + 1. Let h(j) = -l(j) - 15*o(j). Find c, given that h(c) = 0.
-45
Let b = 14 + -15. Let u be 4 - (b + 3 + -2). Determine i, given that -3*i**2 - 6*i + 1 + 0*i**2 - u = 0.
-1
Suppose 0 = 3*g + g - 12. Let a(w) = w**2 + 3*w + 2. Let v be a(-3). Solve g + i - 2 - 2*i**v - 3 - 5*i = 0.
-1
Factor 0 + 0*f + 16/9*f**2 + 4/9*f**3.
4*f**2*(f + 4)/9
Let w = 10953/84770 + -22/173. Let c(r) be the third derivative of w*r**7 + 1/7*r**3 + 0*r + 1/56*r**6 + 9/140*r**5 + 0 - 2*r**2 + 1/8*r**4. Factor c(i).
3*(i + 1)**3*(i + 2)/7
Find h such that 9/4 - 3/8*h - 3/2*h**2 - 3/8*h**3 = 0.
-3, -2, 1
Suppose 4*g = u - 12, 0 = 26*u - 29*u + 2*g + 6. Let y(s) be the third derivative of 8*s**2 + u + 0*s - 2/3*s**3 + 1/12*s**4 + 1/30*s**5. Factor y(m).
2*(m - 1)*(m + 2)
Factor 58/13*d**3 - 2/13*d**4 + 0*d**2 + 0 + 0*d.
-2*d**3*(d - 29)/13
Let g(i) be the first derivative of 1/2*i**4 + 1/3*i**2 + 0*i + 2/3*i**3 - 12 + 2/15*i**5. Factor g(z).
2*z*(z + 1)**3/3
Let v = -4143 + 4146. Find f such that 0 - 3/2*f**4 + f - f**v + 3/2*f**2 = 0.
-1, -2/3, 0, 1
Solve -2*t**2 - 16/3 - 20/3*t = 0 for t.
-2, -4/3
Let y = -5839/20 - -292. Let n(b) be the second derivative of 1/150*b**6 + y*b**4 + 1/30*b**3 + 0 + 3/100*b**5 + 0*b**2 - 3*b. Factor n(d).
d*(d + 1)**3/5
Let m be (-21)/(-28) + (-10)/(-8). Let n(q) be the first derivative of -1/3*q**3 + q**m - q - 6. Factor n(z).
-(z - 1)**2
Suppose -2*f + 144 = 2*f. Let b be 6/1 + f/(-9). Factor -4 + 5*z**b - z**2 + 0*z**2.
4*(z - 1)*(z + 1)
Let g be (-4*(0 - 1))/(8/6). Suppose g*c - 9 = 3*v + 2*v, -4*v + 9 = 3*c. Factor 1/3*j**5 + 2*j**3 + v + 1/3*j - 4/3*j**2 - 4/3*j**4.
j*(j - 1)**4/3
Let t(u) be the second derivative of -u**7/280 - u**6/60 - u**5/40 + 25*u**3/6 - 25*u. Let c(j) be the second derivative of t(j). Determine y so that c(y) = 0.
-1, 0
Let f(p) be the second derivative of -4/7*p**3 - 3/140*p**5 - 7*p - 5/28*p**4 + 0 - 6/7*p**2. Let f(m) = 0. Calculate m.
-2, -1
Determine g, given that 540/11 - 12/11*g**2 - 1074/11*g = 0.
-90, 1/2
Suppose 2*q = 10*q - 24. Let c(y) = y**3 - 11*y**2 + 9*y + 14. Let j be c(10). Determine k so that -14*k**q - 98/11*k**j - 64/11*k**2 + 0 - 8/11*k = 0.
-1, -2/7, 0
Let q(j) be the first derivative of j**3/9 + 7*j**2/3 - 5*j - 746. Factor q(r).
(r - 1)*(r + 15)/3
Let l(f) be the second derivative of f**8/1848 - f**7/1155 - f**6/660 + f**5/330 + 3*f**2/2 + 18*f. Let v(m) be the first derivative of l(m). Factor v(a).
2*a**2*(a - 1)**2*(a + 1)/11
Suppose -6 = -c - 2. Suppose 0*t = 2*t - c. Find s, given that 15*s**t - 2 - 3*s**5 + 16*s**3 - 7*s**3 - 3*s**4 + 2 + 6*s = 0.
-1, 0, 2
Let j be (-5)/((-100)/335) - -4. Let b = j + -41/2. Find m such that -1/4 + 1/4*m + 1/4*m**2 - b*m**3 = 0.
-1, 1
Let p(i) be the first derivative of -4/3*i + 37 - 2/3*i**2 - 1/9*i**3. Find x, given that p(x) = 0.
-2
Let n(v) be the first derivative of -3*v**5/50 + v**4/2 - 41*v**3/30 + v**2 + 6*v/5 - 58. Solve n(j) = 0.
-1/3, 2, 3
Let z(u) = -5*u + 24. Let i be z(4). Let k(a) be the second derivative of -7/3*a**3 + 2*a**2 + 5/6*a**i + 2*a + 0. Determine s, given that k(s) = 0.
2/5, 1
Determine k, given that -5 + 5/2*k + 5/2*k**2 = 0.
-2, 1
Suppose 41*n - 44*n = 6. Let y be (5/(5/(-6)))/n. Suppose -1/5*q**5 - 2/5*q**2 + 2/5*q**4 + 1/5*q + 0 + 0*q**y = 0. What is q?
-1, 0, 1
Suppose 0 = 6*u - 4*u - 310. Let r = u + -152. Let 1/4*f**2 + 0 - 1/4*f**5 + 0*f - 3/4*f**r + 3/4*f**4 = 0. What is f?
0, 1
Let r(s) be the third derivative of -s**5/210 + s**4/7 - 12*s**3/7 + 77*s**2. Factor r(k).
-2*(k - 6)**2/7
Let i(s) = 9*s**2 - 7*s + 8. Let l(o) = 2*o**2 - o + 1. Let p(q) = -i(q) + 5*l(q). Factor p(w).
(w - 1)*(w + 3)
Let g(r) be the second derivative of -r**7/147 + r**6/3 + 245*r. Factor g(o).
-2*o**4*(o - 35)/7
Let w be (-57)/(-5) + 1386/(-126). Let d = -498/5 + 100. Suppose 0 - d*g + w*g**2 = 0. What is g?
0, 1
Suppose -1/4*m**2 + 2 - 1/2*m = 0. What is m?
-4, 2
Let g(z) = z**4 + 136*z**3 + 1346*z**2 + 4856*z + 3641. Let x(h) = 15*h**4 + 1905*h**3 + 18845*h**2 + 67985*h + 50975. Let v(p) = 55*g(p) - 4*x(p). Factor v(a).
-5*(a + 1)*(a + 9)**3
Let h(p) = -6*p**2 + 12*p + 43. Let m(f) = -f. Let w(a) = a**2 - 3*a - 1. Let n(y) = -3*m(y) + w(y). Let u(s) = -3*h(s) - 21*n(s). Factor u(g).
-3*(g + 6)**2
Let x(j) be the third derivative of -1/20*j**4 - 4/15*j**3 - 1/300*j**5 + 0 + 0*j + 2*j**2. Factor x(u).
-(u + 2)*(u + 4)/5
Let v(m) be the first derivative of -3*m**4/16 + 3*m**3/4 + 6*m**2 + 9*m - 20. Factor v(x).
-3*(x - 6)*(x + 1)*(x + 2)/4
Let s(g) = -18*g**3 + 33*g**2 + 47*g. Let c(v) = -5*v**3 + 11*v**2 + 16*v. Let a(t) = -14*c(t) + 4*s(t). Let a(l) = 0. Calculate l.
-9, -2, 0
What is q in 1 - 12423*q + 2*q**2 - 1 + 12443*q = 0?
-10, 0
Let z = -196 - -2353/12. Let i(b) be the first derivative of 0*b - 1/6*b**2 - z*b**4 - 2/9*b**3 + 1. Factor i(p).
-p*(p + 1)**2/3
Let j(o) be the third derivative of -o**7/42 - 5*o**6/4 + 131*o**5/12 - 35*o**4 + 170*o**3/3 + 194*o**2. Factor j(v).
-5*(v - 2)*(v - 1)**2*(v + 34)
Factor -y**2 + 16*y + 54*y - 4*y**2 + 64*y + 26*y.
-5*y*(y - 32)
Let g = -5 + 15. Factor 2*y - 2*y**2 + 10 - 18*y + g*y - 2.
-2*(y - 1)*(y + 4)
Let x(y) = -27*y**2 - 195*y - 2086. Let l(h) = 20*h**2 + 130*h + 1390. Let q(s) = -7*l(s) - 5*x(s). Factor q(o).
-5*(o - 20)*(o + 7)
Let h be -4 + 54/10 + -1. Let u be (-8)/(0 + -1 - 1). Factor 0 - 2/5*l**3 + 0*l - h*l**5 + 0*l**2 + 4/5*l**u.
-2*l**3*(l - 1)**2/5
Let c(t) be the third derivative of -t**8/336 + t**6/2 - 4*t**5/3 - 40*t**4 + 384*t**3 - 143*t**2. What is q in c(q) = 0?
-6, 4
Let g(z) = -z**2 + 4. Let p be g(-1). Factor -2/11*t**5 + 0 + 0*t**4 + 0*t**p + 0*t**2 + 0*t.
-2*t**5/11
Suppose 4*j - 8 = 6*j + 4*n, 3*j = -4*n - 6. Factor -24*a + 12 + 50*a - a**j - 30*a.
-(a - 2)*(a + 6)
Find p, given that -1/2*p**2 + 5 - 3/2*p = 0.
-5, 2
Let t(w) = w**3 + 18*w**2 + 62*w + 769. Let i be t(-17). Factor -12*z + 0 - 1/3*z**3 - i*z**2.
-z*(z + 6)**2/3
Let b(u) = -u**5 + u**4 + u - 1. Let p(q) = 8*q**5 - 14*q**4 - 9*q**3 + 21*q**2 + 13*q + 5. Let c(l) = 5*b(l) + p(l). Factor c(f).
3*f*(f - 3)*(f - 2)*(f + 1)**2
Factor 3/2*q**4 - 2*q**3 + 0 + 0*q + 0*q**2 + 1/2*q**5.
q**3*(q - 1)*(q + 4)/2
Let k(b) be the second derivative of 1/20*b**5 - 1/20*b**6 + 0 + 0*b**2 + 1/84*b**7 + 0*b**4 + 0*b**3 + 2*b. Determine w, given that k(w) = 0.
0, 1, 2
Let s(c) be the first derivative of 0*c**2 + 5/4*c**4 + 4/5*c**5 + 2/3*c**3 + 1/6*c**6 + 0*c + 31. Factor s(d).
d**2*(d + 1)**2*(d + 2)
Let n(l) be the second derivative of l**6/24 - 5*l**4/24 + l**2 + 15*l. Let s(u) be the first derivative of n(u). Let s(y) = 0. Calculate y.
-1, 0, 1
Let l be (10*10 - 0)*14/4. Let q be 4/(-10) - (-440)/l. Find i such that 2/7*i**4 + q*i**2 - 8/7 + 8/7*i**3 - 8/7*i = 0.
-2, -1, 1
Let c = 175 - 172. Let g(i) be the first derivative of -2*i**2 + 2/3*i**c + 2*i + 1. Factor g(q).
2*(q - 1)**2
Let h(b) be the first derivative of -b**6 + 8*b**5/5 + 83*b**4/6 + 100*b**3/9 + 8*b**2/3 + 32. Find g such that h(g) = 0.
-2, -1/3, 0, 4
Let i(x) = -4*x**2 + 150*x - 1308. Let t(s) = 4*s**2 - 149*s + 1306. Let l(g) = 5*i(g) + 6*t(g). Solve l(n) = 0.
18
Let m(g) be the third derivative of g**6/240 - 11*g**5/80 - 53*g**4/96 - 3*g**3/4 + 845*g**2. Determine t so that m(t) = 0.
-1, -1/2, 18
Solve -92/3*i**3 - 8/3 + 40/3*i**5 + 52/3*i - 44/3*i**2 + 52/3*i**4 = 0 for i.
-2, -1, 1/5, 1/2, 1
Let h(m) be the first derivative of m**8/840 - 2*m**7/525 + m**5/75 - m**4/60 - 6*m**2 - 14. Let k(b) be the second derivative of h(b). Solve k(n) = 0.
-1, 0, 1
Factor 27/4*a**2 + 3/4 - 3*a**3 - 9/2*a.
-3*(a - 1)**2*(4*a - 1)/4
Factor -117*o**4 + 63*o**4 + 23 + 55*o**4 + 70*o + 26*o**3 + 72*o**2.
(o + 1)**3*(o + 23)
Let j be 74/(-48) - (-225)/135. Let m(a) be the first derivative of 5 - 3/32*a**4 + 0*a - j*a**3 - 1/40*a**5 - 1/16*a**2. Factor m(s).
-s*(s + 1)**3/8
Suppose -4*w + 3*i + 6 = -0*w, 2*w + 4*i + 8 = 0. Suppose w = 5*p - 32 + 22. Factor -2/3*j**3 + 0 + 2/3*j**p + 0*j.
-2*j**2*(j - 1)/3
Let u(m) = m**2 + m + 2. Suppose -5*i = -3*t + 4, 0*i + 4*i = t - 6. Let k(v) = 2*v**2 + 2*v + 2. Let x(f) = t*k(f) + 3*u(f). Solve x(s) = 0.
-2, 1
Let z(j) be th