g + 0*g**3 - 1/840*g**8 + 2/525*g**7 + 0*g**5 + 0*g**4 + 0. Factor x(b).
-2*b**3*(b - 1)**2/5
Let n(v) = -3*v**2 + 6*v - 3. Let z(k) = 2*k**2 - 5*k + 3. Let f(s) = -5*n(s) - 6*z(s). Factor f(b).
3*(b - 1)*(b + 1)
Let g(m) = 18*m**3 + m**2 - 2*m. Let p be g(2). Let x be 2/(-11) - p/(-66). Factor 2/9*u**3 - 2/9*u + 2/9 - 2/9*u**x.
2*(u - 1)**2*(u + 1)/9
Let p(q) be the first derivative of 3 - 5/9*q**2 - 2/3*q + 4/27*q**3. Suppose p(i) = 0. Calculate i.
-1/2, 3
Factor -4/21*c**5 - 2/21*c**3 - 2/7*c**4 + 0*c**2 + 0 + 0*c.
-2*c**3*(c + 1)*(2*c + 1)/21
Let p(r) be the second derivative of r**8/3360 + r**7/2520 - r**6/2160 + 2*r**3/3 + 3*r. Let g(d) be the second derivative of p(d). Factor g(q).
q**2*(q + 1)*(3*q - 1)/6
Factor 8/3*j**3 + 2*j**2 + 4/9*j + 0 + 10/9*j**4.
2*j*(j + 1)**2*(5*j + 2)/9
Let h(s) be the third derivative of -s**6/240 - s**5/60 + 3*s**2. Suppose h(c) = 0. Calculate c.
-2, 0
Suppose -8 - 7 = -5*c. Factor -4*v**4 + 4*v + c*v**5 + 4*v**2 - 2*v - 5*v**5.
-2*v*(v - 1)*(v + 1)**3
Suppose 5*c + 10 = 25. Suppose c*n + 2*p + 4 = 7, 0 = 4*n + 2*p - 6. Factor 4/7*u**n + 0*u + 0 + 2/7*u**2.
2*u**2*(2*u + 1)/7
Factor 26*g**5 - 64*g**3 + 7*g**2 + g**2 + 74*g**5 + 20*g**4 + 8*g**2.
4*g**2*(g + 1)*(5*g - 2)**2
Let f(r) be the first derivative of 12*r**5/5 - 7*r**4/2 - 2*r**3/3 + 2*r**2 - 8. Determine z, given that f(z) = 0.
-1/2, 0, 2/3, 1
Let l(g) be the third derivative of g**9/30240 + g**8/6720 + g**7/5040 - g**4/12 - 3*g**2. Let c(r) be the second derivative of l(r). Solve c(j) = 0.
-1, 0
Let u = 1000/4419 - 2/491. Factor -u*g**2 + 0*g + 2/9.
-2*(g - 1)*(g + 1)/9
Let d(v) be the third derivative of 1/160*v**6 - 5*v**2 + 0 - 1/8*v**3 + 0*v - 1/32*v**4 + 1/80*v**5. Find j, given that d(j) = 0.
-1, 1
Let z(a) = -a**2 + 3*a + 2. Let p be z(2). Suppose 5*g + 15 = 0, 3*l - 27 = p*g - 9. Factor 1/3*h + 1/3*h**l - 2/3.
(h - 1)*(h + 2)/3
Let 4/3 - 1/3*f**2 - f = 0. Calculate f.
-4, 1
Let k(m) be the third derivative of m**6/200 + m**5/150 - m**4/120 + 11*m**2. Factor k(i).
i*(i + 1)*(3*i - 1)/5
Find f such that -24*f**4 + 7*f + 48*f**3 - 5*f + 6*f - 36*f**2 + 4*f**4 = 0.
0, 2/5, 1
Let s(q) be the first derivative of 4*q**3/3 + 10*q**2 + 16*q - 42. Solve s(k) = 0.
-4, -1
Suppose 5*g - 15 = 15. Factor 3*m - m**5 - g*m**3 + 4*m**3 + 0*m**3 + 3*m**4 - 1 - 2*m**2.
-(m - 1)**4*(m + 1)
Let d be (-24)/(-35) + 4 + (-90)/21. Solve 6/5*u + 4/5 + d*u**2 = 0 for u.
-2, -1
Suppose 0 - 1/2*k + 1/2*k**2 = 0. What is k?
0, 1
Let i(c) be the second derivative of 0*c**3 - 2*c + 1/24*c**4 + 0*c**5 - 1/8*c**2 - 1/120*c**6 + 0. Let i(t) = 0. What is t?
-1, 1
Suppose 0 = x - f - 7, -3*x - 2*x + f = -15. Factor -27*j - 35*j**2 - 3 - 30*j**2 - 48*j**3 - 7*j**x.
-3*(j + 1)*(4*j + 1)**2
What is q in 1/2*q - q**2 + 1/2 = 0?
-1/2, 1
Let q(s) be the second derivative of -s**4/42 - 4*s**3/21 - 4*s**2/7 - 6*s. Determine g, given that q(g) = 0.
-2
Let p(c) be the third derivative of c**6/240 - c**5/48 + c**4/24 - c**3/24 - 4*c**2. Suppose p(u) = 0. Calculate u.
1/2, 1
Let 1/3*t**2 - 4/3 + t = 0. Calculate t.
-4, 1
Let l(v) be the third derivative of 0*v - 1/96*v**6 + 0 + 5/96*v**4 + 1/80*v**5 - 3*v**2 + 1/24*v**3 - 1/210*v**7. Find u, given that l(u) = 0.
-1, -1/4, 1
Suppose j - p = 0, -4*j + 5*p = -j + 8. Suppose -2 - j = -g. Suppose -3*q + 0 + 2*q**2 - 3*q - 2 + g*q**3 = 0. What is q?
-1, -1/3, 1
Let r(o) = 2*o**3 + 9*o**2 - 5*o. Let n(g) = g**3 + 4*g**2 - 2*g. Let v(x) = 5*n(x) - 2*r(x). Factor v(f).
f**2*(f + 2)
Let k(x) = 2*x + 1. Let m(j) = j + 6. Let h be m(-5). Let a be k(h). Suppose -6/5*p**4 + 2*p + 2/5*p**2 + 4/5 - 2*p**a = 0. Calculate p.
-1, -2/3, 1
Let i be ((-7)/14)/(-3 + 0). Let r(u) be the second derivative of i*u**2 + 0 + 2*u + 1/36*u**4 + 1/9*u**3. Factor r(k).
(k + 1)**2/3
Let c = -23/12 - -77/36. Suppose -c*q + 0*q**4 + 0 + 0*q**2 + 4/9*q**3 - 2/9*q**5 = 0. Calculate q.
-1, 0, 1
Suppose 10 = -2*r + 30. Factor 10 - 2*f - r - 2*f**2.
-2*f*(f + 1)
Suppose 4*i = 6*i. Let l be ((-2)/4)/(-1)*0. Factor i*k**2 + l + 0*k - 1/2*k**3.
-k**3/2
Solve -3/4*r**2 + 39/4 - 9*r = 0 for r.
-13, 1
Let b(m) = -m**5 + m**4 - m**3 + m + 1. Let k(f) = 6*f**5 - 15*f**3 - 42*f**2 - 36*f - 12. Let g(l) = -3*b(l) - k(l). Factor g(t).
-3*(t - 3)*(t + 1)**4
Factor -8*x**4 + 5*x - 15*x**2 + 2*x**4 + 15*x**3 + x**4.
-5*x*(x - 1)**3
Suppose -6 = o - 9. Find m such that -m**3 + 0*m**3 + 2*m**o - 2*m**2 = 0.
0, 2
Let g(p) be the first derivative of -p**7/2100 + p**6/900 + p**5/300 - p**4/60 + p**3/3 - 2. Let r(q) be the third derivative of g(q). What is s in r(s) = 0?
-1, 1
Let n(g) be the third derivative of -g**6/480 - g**5/60 - 5*g**4/96 - g**3/12 - 14*g**2. Suppose n(q) = 0. What is q?
-2, -1
Let x be (-1)/(((-3)/(-21))/(-1)). Let w = x + -3. Determine s, given that 0*s - 8/7*s**w + 2/7*s**3 + 0 + 0*s**2 = 0.
0, 1/4
Determine x so that -1/4 + 1/8*x**2 - 1/8*x = 0.
-1, 2
Let c(s) be the third derivative of -s**8/112 + s**6/10 + 35*s**2. Factor c(t).
-3*t**3*(t - 2)*(t + 2)
Solve -3/5*a**3 - 1/5*a**2 + 3/5*a + 2/5 - 1/5*a**4 = 0.
-2, -1, 1
Let a(i) be the second derivative of -i**5/60 - i**4/8 + 2*i**3/3 - 5*i**2 + 7*i. Let k(d) be the first derivative of a(d). Determine h, given that k(h) = 0.
-4, 1
Let l = -827/5 + 166. Factor l*a**3 - 1/5*a**4 + 0 - 3/5*a**2 + 1/5*a.
-a*(a - 1)**3/5
Let w(l) be the third derivative of 0*l**3 + 0*l - 1/420*l**7 + 0*l**5 - l**2 + 0*l**4 + 0 - 1/1344*l**8 - 1/480*l**6. Factor w(r).
-r**3*(r + 1)**2/4
Suppose -f - 4*f = 0. Let t(q) be the first derivative of -1 + 1/6*q**6 + f*q**2 + 1/3*q**3 + 3/4*q**4 + 0*q + 3/5*q**5. Factor t(j).
j**2*(j + 1)**3
Let o(c) be the second derivative of c**7/84 - c**6/60 - c**5/40 + c**4/24 + 13*c. What is k in o(k) = 0?
-1, 0, 1
Suppose -5*n = -4*d - 21, 2*n = -2*d - d + 13. Let g = -4 + 6. Factor -7*u + u**2 + d - 6*u**g - 3.
-(u + 1)*(5*u + 2)
Let g(i) be the second derivative of i**4/54 - i**3/27 - 2*i**2/9 - 14*i. Factor g(v).
2*(v - 2)*(v + 1)/9
Factor -3*s**3 + s**2 - s**5 - 3*s**2 - s**5 + 3*s**5.
s**2*(s - 2)*(s + 1)**2
Solve 2*l**5 - 2*l**4 - 3 + 3 = 0.
0, 1
Let p(y) be the second derivative of -1/60*y**4 + 0 - y - 1/30*y**3 + 1/50*y**5 + 0*y**2. Suppose p(x) = 0. What is x?
-1/2, 0, 1
Let d**4 - 4*d + 42*d**3 + 8*d**4 - 38*d**3 - d**4 - 8*d**2 = 0. What is d?
-1, -1/2, 0, 1
Find w, given that -1/8 + 1/8*w - 1/8*w**3 + 1/8*w**2 = 0.
-1, 1
Let w(z) = -z - 6. Let o be w(-6). Suppose o*m = 3*m. Solve a**3 + 4*a - 5*a + m*a**3 = 0 for a.
-1, 0, 1
Let j(l) = 31*l**4 + 41*l**3 + l - 11. Let f(i) = -6*i**4 - 8*i**3 + 2. Let h(q) = -22*f(q) - 4*j(q). Factor h(b).
4*b*(b + 1)**2*(2*b - 1)
Let l(p) be the second derivative of p**7/126 + p**6/30 + p**5/30 - p**4/18 - p**3/6 - p**2/6 - 5*p. Factor l(i).
(i - 1)*(i + 1)**4/3
Let r = 379/7 + -54. Factor 0*o - r + 1/7*o**2.
(o - 1)*(o + 1)/7
Let a(z) be the second derivative of z**7/1260 + z**6/120 + z**5/30 - z**4/6 - 3*z. Let d(c) be the third derivative of a(c). Factor d(p).
2*(p + 1)*(p + 2)
Let n(k) = -k**2 + 10*k - 1. Let t be n(9). Suppose -7 - t = -5*i. Factor s - s**3 + i*s**2 - 3*s**2.
-s*(s - 1)*(s + 1)
Let j = 3/136 - -263/408. Solve 2/9*p**2 + j*p**3 - 2/9 - 2/3*p = 0.
-1, -1/3, 1
Let n = 22/27 + -13/27. Let n*w**2 + 0 + w = 0. What is w?
-3, 0
Let t(y) be the second derivative of -y**4/12 - y**3/6 + 21*y. Factor t(b).
-b*(b + 1)
Let l = -9 + 11. Factor l*q**2 + 6*q + 21 - 21.
2*q*(q + 3)
Let a(b) = -b**2 + 8*b - 7. Let l be a(6). Find w, given that -4 - 3*w**l + 4 + w**5 = 0.
0
Let o = -8 + 13. Suppose -5*i + i = -o*m - 100, 0 = 3*i + m - 94. Let -i*f**5 - 20*f**5 - 2*f**2 + 32*f**3 + 10*f**2 + 10*f**4 = 0. Calculate f.
-2/5, 0, 1
Let b(z) be the first derivative of -3*z**5/5 + 9*z**4/4 - 2*z**3 + 26. Factor b(l).
-3*l**2*(l - 2)*(l - 1)
Factor 0 + h**2 + 0*h + 0*h**4 + 3/2*h**3 - 1/2*h**5.
-h**2*(h - 2)*(h + 1)**2/2
Let c be (-4 - 17/(-4))*(-16)/(-10). Find g such that -c*g - 2/5*g**3 + 0 - 4/5*g**2 = 0.
-1, 0
Suppose 2*o + 7 = 5*n - 0*n, 0 = 2*o - 8. Let z be 4 + -1 + -1*n. Factor z*p - 1/4*p**2 + 0.
-p**2/4
Let v be 16/(-20) + (-36)/(-45). Solve 6/5*o**3 + v - 8/5*o - 98/5*o**5 - 8*o**2 + 28*o**4 = 0 for o.
-2/7, 0, 1
Suppose q + 12 - 15 = 0. Determine y, given that 0*y**2 + 4*y**3 + 0*y**2 + 2*y - 3*y - q*y**2 = 0.
-1/4, 0, 1
Let t(s) be the second derivative o