3 + 0. Factor y(i).
-(i + 1)*(i + 2)/4
Let l = -6791/8 - -847. Let g = l + 21/8. Solve -7/4*j**4 + 1/2*j - 3/4*j**5 + 0 + 3/4*j**2 - g*j**3 = 0.
-1, 0, 2/3
Suppose -t - 17 = -0. Let i(s) = -s**2 - 17*s + 2. Let l be i(t). Factor -2/5 - 2/5*c**l + 4/5*c.
-2*(c - 1)**2/5
Determine u, given that -4/7*u**3 - 4/7*u**2 + 4/7*u**5 + 0 + 4/7*u**4 + 0*u = 0.
-1, 0, 1
Let m(w) be the third derivative of -w**8/28 - 2*w**7/21 + 7*w**6/30 + 3*w**5/5 - 2*w**4/3 - 8*w**3/3 + 20*w**2. Determine g so that m(g) = 0.
-2, -1, -2/3, 1
Let a be (-21)/(-7)*(-88)/6. Let b be 8/a + 51/99. Factor -1/3 - b*d**5 - 1/3*d**4 + 2/3*d**3 + 2/3*d**2 - 1/3*d.
-(d - 1)**2*(d + 1)**3/3
What is j in 29*j**3 - 8 - 360*j**2 + 324*j**2 - 4*j**4 + 28*j - 9*j**3 = 0?
1, 2
Let g(s) be the first derivative of -s**2/2 - 8*s - 14. Let u be g(-11). Determine j so that -2/3*j**4 + 0*j**u + 0*j - 2/3 + 4/3*j**2 = 0.
-1, 1
Factor 1003 - 1003 - g**2 + 8*g.
-g*(g - 8)
Find s such that 2/5*s**2 - 14/5*s + 12/5 = 0.
1, 6
Factor 3 + 8 + 3 - u**2 - 4*u - 18.
-(u + 2)**2
Let x(y) be the third derivative of -y**7/1680 + y**6/960 - 7*y**2. Factor x(m).
-m**3*(m - 1)/8
Suppose 5*s = 3*t - 25, 0 = 4*t + 2*s - 16 - 0. Factor -2*b - t*b**2 + 3*b + 11*b**4 + 8*b**3 - 15*b**4.
-b*(b - 1)*(2*b - 1)**2
Let t(l) = -l**3 + l**2 + 5*l - 2. Let i be t(2). Let h(z) be the second derivative of -1/21*z**3 - 1/42*z**i + 0 + 0*z**2 + 3*z. Factor h(b).
-2*b*(b + 1)/7
Let 3*g**4 - 3*g**2 - 15*g**4 + 9*g**3 + 9*g**4 - 3*g**3 = 0. What is g?
0, 1
Let v(r) = -7*r**3 + 4*r**2 + 7*r + 4. Let k(l) = -36*l**3 + 21*l**2 + 36*l + 21. Let x(b) = 4*k(b) - 21*v(b). Factor x(q).
3*q*(q - 1)*(q + 1)
Let m be 2/(-6) - (-15)/45. Factor -2/7*u**2 + 0 + m*u.
-2*u**2/7
Let d(b) = 11*b**4 - 6*b**3 + 23*b**2 - 11*b. Let h(j) = 2*j**4 - j**3 + 4*j**2 - 2*j. Let q(k) = -6*d(k) + 34*h(k). Factor q(z).
2*z*(z - 1)*(z + 1)**2
Find o such that -2*o**3 + 5*o + o - 5*o**2 - 10*o**2 + 8*o**3 = 0.
0, 1/2, 2
Let f(k) be the third derivative of -k**7/70 + k**5/20 + 8*k**2. Factor f(v).
-3*v**2*(v - 1)*(v + 1)
Let w(z) be the third derivative of -1/30*z**5 + 2*z**2 + 0 - 1/60*z**6 + 0*z**3 + 0*z**4 + 0*z. Factor w(j).
-2*j**2*(j + 1)
Let h(g) = -g**3 - 7*g**2 - 8*g. Let q be h(-6). Suppose 2*c = -c + q. Solve -3*b**4 + 2*b - 2*b**5 + 5*b**c - 2*b = 0 for b.
0, 1
Let h = -2843/18 + 158. Let u(t) be the second derivative of t - 1/30*t**5 + 0*t**3 + 0*t**2 - h*t**6 + 0*t**4 + 0. Factor u(i).
-i**3*(5*i + 2)/3
Factor -d**4 + 0 - 1/4*d**5 - d**2 - 1/4*d - 3/2*d**3.
-d*(d + 1)**4/4
Factor 0 + 0*d + 0*d**2 + 3/2*d**3 + 1/2*d**5 - 2*d**4.
d**3*(d - 3)*(d - 1)/2
Let y(s) be the second derivative of 28*s**7/3 + 602*s**6/15 + 246*s**5/5 + 76*s**4/3 + 16*s**3/3 - 4*s. Determine q, given that y(q) = 0.
-2, -1/2, -2/7, 0
Suppose -18*b = 3*b - 42. Factor 2/3 - 2/3*y**b + 0*y.
-2*(y - 1)*(y + 1)/3
Let g(o) be the first derivative of -7*o**4/24 + o**3/9 + 1. Find w such that g(w) = 0.
0, 2/7
Let g(z) = z**3 - 4*z**2 - 3*z - 3. Let d(p) = -p**2 - p - 1. Let h(c) = 15*d(c) - 5*g(c). Determine q, given that h(q) = 0.
0, 1
Suppose 112 = -5*r - 348. Let w be 6/15 - r/20. Factor -5*y - y**3 + w*y + y.
-y*(y - 1)*(y + 1)
Let s(y) = -y + 6. Let r be s(8). Let j be 8/20 + r/5. Suppose -5/4*q**5 + j + 1/2*q**4 - 1/2*q**2 + 0*q + 5/4*q**3 = 0. Calculate q.
-1, 0, 2/5, 1
Let h(s) be the third derivative of -s**7/1120 - s**6/160 - s**5/80 + s**3/6 + s**2. Let a(d) be the first derivative of h(d). Factor a(n).
-3*n*(n + 1)*(n + 2)/4
Let h = 69 - 69. What is v in 2/5*v**2 + 0 + h*v = 0?
0
Let -9/2*c - 3/2*c**2 + 6 = 0. What is c?
-4, 1
Let n(i) be the third derivative of i**8/35280 - i**7/4410 + i**6/1260 - i**5/10 + 4*i**2. Let o(g) be the third derivative of n(g). Factor o(q).
4*(q - 1)**2/7
Let u(x) = -5*x**4 + 10*x**2 + 5*x. Let o(h) = -5*h**4 + 10*h**2 + 4*h - 1. Let d(m) = -5*o(m) + 4*u(m). Factor d(t).
5*(t - 1)**2*(t + 1)**2
Let k be -6*(1872/(-81))/13. Factor -10*b**2 - k*b**3 + 0 - 2*b**4 + 12*b.
-2*b*(b + 3)**2*(3*b - 2)/3
Let o(m) be the second derivative of -m**8/5040 + m**7/630 - m**6/180 + m**5/90 - m**4/72 + m**3/3 + m. Let h(j) be the second derivative of o(j). Factor h(y).
-(y - 1)**4/3
Suppose 3*a = 3*z + 4*a - 7, 7 = 5*z - 3*a. Factor 4/3*p**z + 64/3 - 32/3*p.
4*(p - 4)**2/3
Let j(m) be the second derivative of 1/12*m**3 + 1/120*m**5 + 0 - 1/24*m**4 + m - m**2. Let k(s) be the first derivative of j(s). Factor k(l).
(l - 1)**2/2
Let i be (1 + -1)/(0 + 4 + -2). What is z in -4/5*z + 2/5*z**2 + 2/5*z**3 + i = 0?
-2, 0, 1
Solve -7/12*f**2 - 1/6*f**3 + 0 - 1/3*f + 1/12*f**4 = 0.
-1, 0, 4
Let n = 13 + -9. Let w = 6 - n. Factor 2*b**3 - 2/3*b**4 + 2/3*b + 0 - 2*b**w.
-2*b*(b - 1)**3/3
Let q(z) be the second derivative of -z**7/147 - 4*z**6/105 - z**5/14 - z**4/21 - 4*z. Factor q(v).
-2*v**2*(v + 1)**2*(v + 2)/7
Let a(x) be the third derivative of -x**8/224 - x**7/84 + x**6/240 + x**5/24 + x**4/24 - 9*x**2. Solve a(d) = 0 for d.
-1, -2/3, 0, 1
Let y(l) = 2*l**2 - 2*l + 2. Let f be y(2). Suppose 4*i + 2 = f. Let o(k) = -k**2 - k - 1. Let g(n) = -10*n + 6. Let u(h) = i*g(h) - 2*o(h). Factor u(z).
2*(z - 2)**2
Let n(j) be the third derivative of -j**2 + 0 - 3/20*j**5 + j**3 + 0*j - 1/8*j**4. Factor n(o).
-3*(o + 1)*(3*o - 2)
Let j = -1/252 - -85/252. Factor 1/3*s**4 - j*s**5 - 1/3*s - 2/3*s**2 + 1/3 + 2/3*s**3.
-(s - 1)**3*(s + 1)**2/3
Let f be 333/(-162) - (-1)/(-6). Let i = -14/9 - f. Factor -1/3*s - 1/3*s**3 + 0 + i*s**2.
-s*(s - 1)**2/3
Suppose 3*r - 24 = 4*l, -4*r = r + 3*l - 11. Suppose -r*u = u - 10. Factor 2*a + 2*a**u + 2*a**3 - a**4 - 4*a - a**4.
-2*a*(a - 1)**2*(a + 1)
Let d(x) be the third derivative of -1/8*x**4 + 0*x - 1/9*x**3 + x**2 + 3/40*x**6 + 0 + 0*x**5. Factor d(i).
(3*i - 2)*(3*i + 1)**2/3
Let g(d) be the first derivative of -d**6/6 - 2*d**5/5 + 2*d**3/3 + d**2/2 - 3. Solve g(p) = 0 for p.
-1, 0, 1
Let n(i) be the second derivative of i**4/28 - 4*i**3/7 + 3*i**2/2 - 17*i - 2. Factor n(d).
3*(d - 7)*(d - 1)/7
Factor -25/4*v**2 + 5/4*v**3 + 0 + 15/2*v.
5*v*(v - 3)*(v - 2)/4
Let l(x) be the first derivative of 2*x**5/5 - 15*x**4/7 + 86*x**3/21 - 24*x**2/7 + 8*x/7 - 1. Determine h, given that l(h) = 0.
2/7, 1, 2
Let h(b) be the second derivative of b**7/126 - b**6/45 + b**4/18 - b**3/18 - 7*b. Factor h(m).
m*(m - 1)**3*(m + 1)/3
Let w = -3 - -11. Let q(y) = -6*y**2 + 8*y + 14. Let a be (-30)/(-9) - (-1)/(-3). Let n(m) = 2*m**2 - 3*m - 5. Let h(r) = a*q(r) + w*n(r). Factor h(j).
-2*(j - 1)*(j + 1)
Let t(z) be the third derivative of 0*z**4 + 1/120*z**5 + 4*z**2 + 0*z + 1/420*z**7 - 1/120*z**6 + 0*z**3 + 0. Factor t(b).
b**2*(b - 1)**2/2
Factor 10*s**4 + 13*s**4 - 25*s**4 + 12*s**3 - 23*s**2 + 5*s**2.
-2*s**2*(s - 3)**2
Let n = -206276/93 + 2218. Let q = n + 101/372. Factor -3/4*k + 3/4*k**2 - q*k**3 + 1/4.
-(k - 1)**3/4
Let f = -33 - -61. Let u be (3/2)/(21/f). Factor 10/7*y**3 + 0*y - 8/7*y**4 - 2/7*y**u + 0.
-2*y**2*(y - 1)*(4*y - 1)/7
Let r(z) be the second derivative of z**6/20 + 7*z**5/10 + 9*z**4/4 + 3*z**3 + 7*z**2/4 + 10*z. Factor r(t).
(t + 1)**2*(t + 7)*(3*t + 1)/2
Let k(v) be the first derivative of -1/6*v**4 - 3 + 10/9*v**3 + 8/3*v - 8/3*v**2. Factor k(j).
-2*(j - 2)**2*(j - 1)/3
Let p(j) be the first derivative of j**3/6 - j**2/2 - 3*j/2 - 20. Determine s so that p(s) = 0.
-1, 3
Let n(l) = -9*l - 85. Let h be n(-10). What is k in 0 - 1/6*k**4 + 0*k**3 - 1/2*k**h + 0*k**2 + 0*k = 0?
-1/3, 0
Let s be (-213)/(-18) + -11 + 1/(-2). Let c = 33 + -95/3. Factor -4/3*j + c + s*j**2.
(j - 2)**2/3
Suppose i - 4*i + 12 = 0. Let p(x) be the second derivative of 0 + 1/40*x**5 + 1/8*x**2 - 3*x + 0*x**i - 1/12*x**3 - 1/120*x**6. Factor p(y).
-(y - 1)**3*(y + 1)/4
Let t = -6 - -8. Let d be (21/28)/(3/t). Suppose -1/2 - d*p**2 - p = 0. Calculate p.
-1
Let t(h) = -h**2 - 10*h - 3. Let r be t(-9). Suppose -r = -2*a - 2. Solve a*g**2 + g - 4 - 3*g + 4*g = 0 for g.
-2, 1
Let c(f) be the first derivative of -f**6/360 - f**5/120 - f**3 - 3. Let q(m) be the third derivative of c(m). Factor q(k).
-k*(k + 1)
Let c(p) be the first derivative of 0*p + 7/6*p**4 - 3 + 0*p**2 - 4/9*p**3. Factor c(x).
2*x**2*(7*x - 2)/3
Let o be 36/45 + 3/(-5). Factor 2/5*s**2 + 0 + 1/5*s + o*s**3.
s*(s + 1)**2/5
Let r(v) be the first derivative of 1/12*v**6 - 1/4*v**4 + 1/10*v**5 + 1/2*v -