= 0, -13*j - 20 = s - 8*j. Solve 0*a**4 + 1/3*a + 1/3*a**5 + s*a**2 + 0 - 2/3*a**3 = 0 for a.
-1, 0, 1
Let y be ((-232)/12)/((-4)/18). Determine u so that 3 + 89*u**2 - 5 - y*u**2 = 0.
-1, 1
Let u(r) = -2*r**2 + r + 17. Let j(i) = -i**2 + i + 8. Let v(b) = -7*j(b) + 3*u(b). Suppose v(q) = 0. Calculate q.
-1, 5
Suppose -28/9*k**3 - 2/9*k**5 - 4/9 - 2*k - 4/3*k**4 - 32/9*k**2 = 0. Calculate k.
-2, -1
Let w = -17/161 + 9/23. Let t be (8/56)/((-1)/(-6)). Find z, given that -w - 4/7*z**2 + t*z = 0.
1/2, 1
Let b be (-94)/48 + 4 + -2. Let o(l) be the third derivative of -b*l**4 + l**2 + 0*l - 2/15*l**6 + 2/15*l**5 + 0 + 0*l**3. Factor o(q).
-q*(4*q - 1)**2
Let j = 4 + -3. Let t(y) = 38*y + 0*y**3 - 2*y**3 - 2 - 40*y. Let z(u) = -u**4 + u**3 + u**2 + u + 1. Let m(g) = j*t(g) + 2*z(g). Factor m(l).
-2*l**2*(l - 1)*(l + 1)
Suppose 0 = -w + 2, -2*w + 3 + 33 = 4*q. Let k be (3 + -1)*12/q. Suppose 1/2*x**4 + 9/2*x**2 + 1 - 7/2*x - 5/2*x**k = 0. Calculate x.
1, 2
Suppose 4*h - 20 = 9*x - 4*x, 0 = 5*h + 5*x + 20. Find u such that 0*u**2 - 4/11*u**5 - 2/11*u**4 + h + 0*u**3 + 0*u = 0.
-1/2, 0
Suppose -2*f - 3 = 1, -b + 12 = -4*f. Factor n**5 - n**2 + n**b + 0*n**4 + 3*n**3 - 4*n**3.
n**2*(n - 1)*(n + 1)**2
Let w(o) be the second derivative of 8/3*o**4 + o**2 + 8/3*o**3 - 2*o + 0. Factor w(p).
2*(4*p + 1)**2
Suppose 6*j = 4*j + 4. Let t be ((-6)/10)/((-84)/40). Suppose t*d**3 + 2/7*d**j + 0 + 0*d = 0. What is d?
-1, 0
Let d(q) be the third derivative of q**8/672 + q**7/84 + q**6/80 - 3*q**5/40 + 41*q**2. Factor d(r).
r**2*(r - 1)*(r + 3)**2/2
Let s(y) be the first derivative of y**4/2 - y**2 - 2. Factor s(j).
2*j*(j - 1)*(j + 1)
Suppose 4*k - 8 = 5*k - 2*d, 0 = -3*k + d + 1. Factor 1/2*l - 3/2*l**k + 1.
-(l - 1)*(3*l + 2)/2
Let y be 2/6*(12 + 0). Let d = 7 - y. Factor 1 + 5*k - 3 + 4*k**d - 3*k**3 - 4*k**2.
(k - 2)*(k - 1)**2
Let p(u) = -3*u**2 + 9*u + 6. Let w(s) = -11*s**2 + 8*s + 11. Let y(g) = -4*g**2 + 3*g + 4. Let q(i) = -3*w(i) + 8*y(i). Let h(z) = -p(z) - 6*q(z). Factor h(a).
-3*a*(a + 3)
Factor -5*r**4 - 6*r**3 + 20*r - 29*r**3 - 10*r**4.
-5*r*(r + 1)*(r + 2)*(3*r - 2)
Let s(u) = -10*u**2 + 325*u - 720. Let b(a) = a**2 - 36*a + 80. Let y(w) = 35*b(w) + 4*s(w). Factor y(r).
-5*(r - 4)**2
Let d(r) = 5*r - 2*r + 3*r**2 + 3*r + 3*r**2 - 4*r**3. Let o(v) = -5*v**3 + 7*v**2 + 7*v. Let k(p) = 7*d(p) - 6*o(p). Factor k(b).
2*b**3
Let s = 73/5 + -501/35. Find v such that -s*v**2 - 4/7*v**4 - 18/7*v**3 + 6*v - 18/7 = 0.
-3, 1/2, 1
Let g(r) be the first derivative of r**3/12 - r**2/2 + 3*r/4 + 4. Factor g(y).
(y - 3)*(y - 1)/4
Let p(j) = j**2 + 1. Let v(k) = -6*k**2 - 15*k - 15. Let l(u) = -3*p(u) - v(u). Factor l(f).
3*(f + 1)*(f + 4)
Suppose -2*b = x - 9, -2*b + 15 + 9 = 4*x. Factor -v**4 + 4*v**2 - v**4 - b*v**2.
-2*v**2*(v - 1)*(v + 1)
Let u(j) = j**2 - 9*j + 3. Let p be u(9). Find w, given that -2*w - 2*w**2 + 0*w**2 + 2 + p - 1 = 0.
-2, 1
Let b(k) be the third derivative of k**7/560 + k**6/240 - k**5/80 - k**4/16 - k**3/6 - 4*k**2. Let d(u) be the first derivative of b(u). What is w in d(w) = 0?
-1, 1
Factor 63*w**3 + 54*w**3 + 15*w**2 - 112*w**3 + 10*w.
5*w*(w + 1)*(w + 2)
Let z(c) be the third derivative of -c**7/945 + c**5/270 - c**2. Find q, given that z(q) = 0.
-1, 0, 1
Solve 2 + 5*x + 8 - 7*x**2 + 2*x**2 = 0.
-1, 2
Let k = -2158/9 - -240. Factor -k*d**2 + 0 + 2/3*d.
-2*d*(d - 3)/9
Suppose f + 0*y + 2 = -y, -20 = -4*f + 3*y. Let n(j) be the third derivative of -2*j**f + 0*j - 1/60*j**4 + 0*j**3 - 1/300*j**5 + 0. Factor n(q).
-q*(q + 2)/5
Find h, given that -4/7*h**5 - 4/7*h + 8/7*h**3 + 0*h**2 + 0*h**4 + 0 = 0.
-1, 0, 1
Let a(y) = -y**2 - 8*y - 10. Let w be a(-5). Factor -2*i**3 - 18 + w*i**3 - 9*i**2 + 30.
3*(i - 2)**2*(i + 1)
Let t(p) be the third derivative of p**8/1008 + p**7/630 - p**6/360 - p**5/180 - p**2. What is k in t(k) = 0?
-1, 0, 1
Let u be -1*1/(-2)*2. Suppose 0 = s + 4*s - 25. Factor -3*a**4 + 2*a**2 - 3*a**4 - u + s*a**4.
-(a - 1)**2*(a + 1)**2
Suppose 2*t = -2*a + 14, 3*a + 3*t = 6*t - 3. Factor 1/3*f**a + 1/3*f**2 - 1/3 - 1/3*f.
(f - 1)*(f + 1)**2/3
Suppose -9*s = -2*s - 28. Let x(b) be the first derivative of -b - 1 - b**3 - 1/4*b**s - 3/2*b**2. Factor x(n).
-(n + 1)**3
Determine v so that 0*v + 2/9*v**4 + 2/3*v**3 + 0 + 0*v**2 = 0.
-3, 0
Suppose 2*f - 20 = 2*l - 6*l, 4*l - 20 = -5*f. Let w be 3/6*(f - -1). Factor 1/2 + z + w*z**2.
(z + 1)**2/2
Suppose c - 6 = -g, 0*g = 3*c + 5*g - 28. Let q(l) be the first derivative of c + 2/5*l**2 - 2/5*l - 2/15*l**3. Solve q(h) = 0.
1
Factor -h**3 + 0 - 3/4*h**2 + 0*h - 1/4*h**4.
-h**2*(h + 1)*(h + 3)/4
Let m(q) be the second derivative of -49*q**6/240 + 77*q**5/120 - 2*q**4/3 + q**3/3 - 3*q**2/2 - 2*q. Let p(j) be the first derivative of m(j). Factor p(c).
-(c - 1)*(7*c - 2)**2/2
Let o(x) be the third derivative of -x**8/16 + x**7/14 + 23*x**6/40 - 29*x**5/20 + x**4/2 + 2*x**3 + 8*x**2. Solve o(r) = 0.
-2, -2/7, 1
Let b = 172/115 - 16/23. Suppose 0 + 1/5*u - 2/5*u**2 - 7/5*u**3 - b*u**4 = 0. What is u?
-1, 0, 1/4
Let u(p) be the second derivative of 2/9*p**3 + 0*p**2 + 1/6*p**5 + 0 + 7/18*p**4 + p. Factor u(x).
2*x*(x + 1)*(5*x + 2)/3
Let y(u) = -u**2 + 5*u - 4. Let b be y(3). Let 58 - b*r**2 - 58 - 2*r = 0. What is r?
-1, 0
Let n be (8/6)/(5/15) - 1. Let p(i) be the third derivative of 0 - 1/36*i**4 + 0*i + 1/90*i**5 + i**2 - 2/9*i**n. Suppose p(a) = 0. What is a?
-1, 2
Let v be (11 - 6) + (-1 - 4). Let j = 5 + -3. Find g, given that -1/2*g**j + v*g + 0 = 0.
0
Factor -4/3 - 1/2*d**3 + 1/6*d**4 + 2*d - 1/3*d**2.
(d - 2)**2*(d - 1)*(d + 2)/6
Let g be (-59 + (4 - 0))/1. Let a be ((-22)/g)/((-12)/(-10)). Factor a*v**2 - 1/3 + 0*v.
(v - 1)*(v + 1)/3
Let f(h) = -h - 4. Let m be f(-5). Let d = m - 0. Let 2*g**3 + d + 2 - 3 - g**4 = 0. What is g?
0, 2
Let k(x) = -2*x - 19. Let p be k(-16). Factor -12*y + 3*y**2 + 1 - p - 4*y**3 + 7*y**3.
3*(y - 2)*(y + 1)*(y + 2)
Let p = -18 - -21. Factor -y**p + 5*y**4 - 3*y**4 + 3*y**3 + 0*y**4.
2*y**3*(y + 1)
Let z(r) = -9*r**2 + 7*r - 2. Suppose 4*p = -15 - 1. Let m(i) = -i**2 + i + 1. Let w(q) = p*m(q) - z(q). Suppose w(u) = 0. Calculate u.
-2/13, 1
Let l = 16905 - 117552/7. Let k = l + -111. Determine x, given that 2/7 + 2/7*x**3 - 2/7*x + 4/7*x**4 - k*x**2 = 0.
-1, 1/2, 1
Let w(p) = -p + 1. Let k(v) = -4*v + 14. Let s(j) = -k(j) + 2*w(j). Let l be s(8). Factor 2*u**4 - u**3 + u**2 - u**l - u**3.
u**2*(u - 1)**2
Let h be 1/3 + 10/6. Factor 2*g**3 + 2*g**3 + 0*g - g - 3*g**h + 0*g.
g*(g - 1)*(4*g + 1)
Let k(j) = 4*j + 3. Let m be k(-6). Let r be (-18)/(-27) + 8/m. Factor r*s + 2/7 - 4/7*s**2 - 4/7*s**3 + 2/7*s**5 + 2/7*s**4.
2*(s - 1)**2*(s + 1)**3/7
Let k = -5 - -10. Suppose k*a = 6*a. Let a - 6/5*l**4 + 6/5*l**2 - 4/5*l + 4/5*l**3 = 0. What is l?
-1, 0, 2/3, 1
Suppose 5*z = 4*z + 3. Let c be (-5 - -10 - -1) + -4. Determine v, given that 0*v**c + 0*v - 1/3*v**5 - 1/3*v**z + 0 - 2/3*v**4 = 0.
-1, 0
Let d = 94 + -361/4. Find w, given that -9/4*w - d*w**2 + 27/4 - 3/4*w**3 = 0.
-3, 1
Let l(y) be the third derivative of -y**5/210 + y**4/42 - y**3/21 + y**2. Suppose l(o) = 0. What is o?
1
Let q(a) be the third derivative of 0*a + 1/40*a**6 + 0 + 1/5*a**5 + 2*a**2 + 1/2*a**4 + 0*a**3. Suppose q(z) = 0. What is z?
-2, 0
Let c(f) be the first derivative of f**3/12 + 3*f**2/8 + f/2 + 49. Factor c(w).
(w + 1)*(w + 2)/4
Let q = 7 + 12. Let z be q/42 - (-6)/(-36). Factor z*l**2 + 2/7*l + 0.
2*l*(l + 1)/7
Let o be 3/(-27)*(-4)/2. Factor 2/9*q**2 - 2/9*q**5 + 2/9*q**3 - o*q**4 + 0 + 0*q.
-2*q**2*(q - 1)*(q + 1)**2/9
Let d(w) be the third derivative of 1/180*w**5 + 0*w + 8/9*w**3 + 3*w**2 + 1/9*w**4 + 0. Let d(v) = 0. Calculate v.
-4
Let d(n) be the first derivative of -2*n**6/3 + 11*n**5/5 - 9*n**4/4 + n**3/3 + n**2/2 + 23. Factor d(f).
-f*(f - 1)**3*(4*f + 1)
Suppose 0*z + 0*z**3 + 2/5*z**2 - 1/5*z**4 - 1/5 = 0. What is z?
-1, 1
Let c(g) be the second derivative of -g**5/40 - g**4/6 - g**3/3 - 7*g. Solve c(t) = 0.
-2, 0
Let t(x) be the third derivative of x**9/120960 - x**7/10080 + x**5/60 + 4*x**2. Let l(n) be the third derivative of t(n). Find j such that l(j) = 0.
-1, 0, 1
Let c(x) be the first derivative of -x**9/10584 + x**7/1470 - x**5/420 - x**3/3 + 1. Let p(y) be the third derivative of c(y). Factor p(n).
-2*n*(n - 1)**2*(n + 1)**2/7
Let u(x) = 9*x**2 + x. Let f