irst derivative of 1/3*o**2 - 1/3*o**3 + 0*o - 7/15*o**5 + 3 - o**4. Solve b(g) = 0.
-1, 0, 2/7
Let m(s) be the third derivative of 1/180*s**5 + 0*s - 1/630*s**7 + 1/72*s**4 + 0*s**3 + 0 - s**2 - 1/360*s**6. Factor m(z).
-z*(z - 1)*(z + 1)**2/3
Let t be (6*(-6)/42)/(12/(-8)). Factor 0 - t*o + 2/7*o**2.
2*o*(o - 2)/7
Suppose -j - 10 = 4*j, a = -2*j - 1. Let d(b) be the second derivative of 1/40*b**5 + 0*b**2 - 1/12*b**a + 0 - 1/48*b**4 + 1/120*b**6 + 4*b. Factor d(k).
k*(k - 1)*(k + 1)*(k + 2)/4
Let q(s) be the second derivative of s**4/6 + 2*s**3 + 9*s**2 - 11*s. Let q(k) = 0. Calculate k.
-3
Suppose -4*b + 2*b = -18. Suppose 3*g - b = 6. Factor 3*z**2 - 4*z**2 + 4*z - g*z.
-z*(z + 1)
Solve -3/4*a - 3 + 3/8*a**2 = 0.
-2, 4
Let k(p) be the second derivative of -p**7/1260 + p**6/180 + p**4/3 + 2*p. Let d(r) be the third derivative of k(r). Factor d(f).
-2*f*(f - 2)
Let r be 24/(6 - 2) + 105/(-28). Find f, given that -1/4*f**2 - 3/2*f - r = 0.
-3
Let w(g) = 3*g**3 + 11*g**2 + 2*g + 5. Let u(h) = -h**3 - 4*h**2 - h - 2. Let b be 6/(-9) - (-14)/3. Let q(d) = b*w(d) + 11*u(d). Suppose q(i) = 0. What is i?
-1, 2
Let p(j) be the first derivative of -j**5/5 + j**4/4 + j**3/6 - 4*j + 1. Let g(w) be the first derivative of p(w). Suppose g(m) = 0. What is m?
-1/4, 0, 1
Factor -12 + 24*c**2 - 20*c**3 + 3 - 4*c**4 + 6*c**5 + 5 + c - 3*c.
2*(c - 1)**3*(c + 2)*(3*c + 1)
Determine a so that -528/13*a**2 - 88/13*a + 1442/13*a**3 + 32/13 + 392/13*a**4 = 0.
-4, -1/4, 2/7
Let j(u) be the third derivative of u**6/840 - u**4/56 + u**3/21 + 4*u**2 - 2. Factor j(f).
(f - 1)**2*(f + 2)/7
Let y(d) be the first derivative of d**4/12 - 5*d**3/12 + d**2/2 - 3*d - 4. Let n(h) be the first derivative of y(h). Determine a so that n(a) = 0.
1/2, 2
Let t = -159/7 - -1763/77. Let 2/11*h**4 + 0 - t*h**3 + 0*h + 0*h**2 = 0. What is h?
0, 1
Let o(a) be the third derivative of -a**5/300 + 2*a**3/15 + 40*a**2. Factor o(d).
-(d - 2)*(d + 2)/5
Let m be (-7)/((-35)/20) + -1. Solve -1/2*v - 1/2 + 1/2*v**2 + 1/2*v**m = 0.
-1, 1
Let a(f) be the second derivative of -1/28*f**7 + 0*f**2 + 0*f**4 + 0 - 3*f + 0*f**3 + 3/40*f**5 + 0*f**6. Factor a(t).
-3*t**3*(t - 1)*(t + 1)/2
Suppose -8*h - 4 = -4. Solve 0 - c**3 + h*c - c**4 - 1/3*c**5 - 1/3*c**2 = 0.
-1, 0
Let v(m) = 7*m**3 - 16*m**2 + 11*m - 2. Let x = 2 + 0. Let u be x/(-5) - 9/15. Let n(p) = p**3 - p**2 - p + 1. Let g(o) = u*v(o) + 4*n(o). Factor g(a).
-3*(a - 2)*(a - 1)**2
Suppose -3*d - 6 = -6*d. Let m be ((-1)/(-3))/((-7)/(-42)). Find s, given that 2 - 3 + s**m - d*s + 2 = 0.
1
Let f(z) be the third derivative of z**5/240 + z**4/96 - z**3/12 - 18*z**2. Factor f(d).
(d - 1)*(d + 2)/4
Let p(q) be the second derivative of q**4/60 - q**3/15 - 3*q**2/10 - 8*q. Suppose p(o) = 0. What is o?
-1, 3
Suppose -2*p + 12 = 3*s - 35, 3*s + 1 = p. Let p*a**2 - 4*a + a - 3*a**3 - 10*a**2 = 0. Calculate a.
0, 1
Let d = -4 + 8. Factor -w**2 + 0*w**2 - 2*w**5 + 2*w**d + w**2.
-2*w**4*(w - 1)
Let g be (-1456)/315 - 2/(-9). Let h = -182/55 - g. Factor 6/11*w**4 + 20/11*w**3 + h*w + 2/11 + 24/11*w**2.
2*(w + 1)**3*(3*w + 1)/11
Let s be 2/(-4)*(3 + -1). Let r be (s - -1)/(0 + 1). Factor r - 2/3*m**2 + 2*m**4 + 8/3*m**3 - 4/3*m.
2*m*(m + 1)**2*(3*m - 2)/3
Let k(o) = -o**2 - 7*o - 1. Let r be (-18)/(-8) + (-1)/4. Let w(a) = 15*a - 4*a**2 + 5*a**r - 2*a + 1. Let q(g) = -5*k(g) - 3*w(g). Suppose q(t) = 0. What is t?
1
Factor 5*x - 1/2*x**2 - 25/2.
-(x - 5)**2/2
Let f(s) = 3*s**4 - 9*s**2 + 6. Let b(t) = 9*t**4 - 26*t**2 + 17. Let a(v) = 6*b(v) - 17*f(v). Solve a(x) = 0 for x.
-1, 0, 1
Let t(i) be the third derivative of i**9/75600 + i**8/11200 + i**7/4200 + i**6/3600 + i**4/24 - 5*i**2. Let m(z) be the second derivative of t(z). Factor m(n).
n*(n + 1)**3/5
Solve 4*m**4 + 3*m + 0*m + 72*m**3 - 4*m**2 - 52*m**4 - 23*m**2 = 0 for m.
0, 1/4, 1
Find u such that 4*u - 2*u**5 + 4*u**4 - 4*u**2 - 2*u + 3 - 3 = 0.
-1, 0, 1
Let a(w) be the third derivative of w**8/3360 - w**7/2520 - w**6/720 - w**4/24 + 3*w**2. Let b(q) be the second derivative of a(q). What is u in b(u) = 0?
-1/2, 0, 1
Let l(j) = j**2 + 1. Let d(r) = -3*r**2 - 6*r + 5. Let t(v) = -d(v) - 4*l(v). Solve t(b) = 0 for b.
3
Suppose x = -5*l - 6, 3*l - 36 = x - 2*l. Let s be x/(-35) - 7/(-5). Factor 0 + 0*u + 2/7*u**3 + 2/7*u**s.
2*u**2*(u + 1)/7
Let l(r) be the third derivative of -r**7/1680 + r**6/192 - 3*r**5/160 + 7*r**4/192 - r**3/24 - 11*r**2. Factor l(x).
-(x - 2)*(x - 1)**3/8
Suppose -4*u = -4, 4*c - u = 2*c + 5. Suppose 5*f = f. Factor 2*y**3 + f*y - y**c + y + 2*y**2.
y*(y + 1)**2
Let p(d) = 4*d + d + 1 - 1 - d**2 - 1. Let v be p(4). Factor 0*n**2 - n**2 - n**2 - 2*n**v.
-2*n**2*(n + 1)
Let f(t) = t**2 + 2. Let w be f(-2). Find m, given that 6*m + 3 - 1 + 0 + w*m**2 + 2*m**3 = 0.
-1
Let k(f) be the second derivative of -f**4/18 + 8*f**3/9 - 16*f**2/3 + 8*f. Factor k(v).
-2*(v - 4)**2/3
Let j(h) be the second derivative of -2/3*h**3 + 32/63*h**7 + 1/6*h**2 + 47/36*h**4 + 3*h + 0 - 8/15*h**6 - 13/15*h**5. Factor j(p).
(p - 1)*(p + 1)*(4*p - 1)**3/3
Let d be 2/(-4)*60/(-45). Find z, given that -1/3*z**3 - d*z - z**2 + 0 = 0.
-2, -1, 0
Suppose t - 4 = -2. Let b be (-108)/225*(3 + (-22)/4). Solve -4/5*f + 0 + b*f**t - 2/5*f**3 = 0 for f.
0, 1, 2
Let p be 4/(976/(-236)) - -1. Let g = 67/183 - p. Suppose 0 - g*y**2 + 0*y = 0. What is y?
0
Let c(k) be the first derivative of k**7/420 + k**6/135 + k**5/180 - k**3/3 - 2. Let b(i) be the third derivative of c(i). Factor b(n).
2*n*(n + 1)*(3*n + 1)/3
Let i(p) be the first derivative of -p**7/70 + p**5/20 + 2*p**2 - 4. Let r(u) be the second derivative of i(u). What is d in r(d) = 0?
-1, 0, 1
Let y(n) be the first derivative of n**4/10 - 2*n**3/3 + 48. Factor y(b).
2*b**2*(b - 5)/5
Let h(z) be the third derivative of 0*z + 0 - 1/6*z**4 - 1/6*z**5 - z**2 + 0*z**3. Find l such that h(l) = 0.
-2/5, 0
Let z(l) = -l**2 - 10*l - 8. Let y be z(-9). Factor -m**3 - 3*m**2 - 1 + 2*m**2 + y.
-m**2*(m + 1)
Suppose 2*c - 2 = c. Let q(v) be the third derivative of 1/168*v**8 + 1/15*v**5 - c*v**2 + 0*v**3 - 2/105*v**7 - 1/12*v**4 + 0*v + 0*v**6 + 0. Factor q(j).
2*j*(j - 1)**3*(j + 1)
Let r(q) be the second derivative of q**9/90720 - q**8/40320 - q**4/3 - q. Let c(p) be the third derivative of r(p). Suppose c(s) = 0. What is s?
0, 1
Let q(y) be the third derivative of -1/30*y**5 - 5*y**2 - 1/3*y**3 - 1/6*y**4 + 0*y + 0. Solve q(o) = 0.
-1
Suppose 2*k - 7*k + 13100 = 0. Let s = k + -18276/7. Solve 20/7*g**2 + s*g**4 + 64/7*g**3 + 2/7*g + 0 = 0.
-1/2, -1/4, 0
Let z(r) be the first derivative of 0*r**3 + r - 1/6*r**4 + 0*r**2 - 1/10*r**5 - 1. Let x(p) be the first derivative of z(p). Determine y, given that x(y) = 0.
-1, 0
Let h be (16/(-6))/((-4)/6). Suppose -5*w + h*u + 25 = 0, -8 = -w + 4*u - 3. Find v, given that 0 - 2/5*v**4 + 2/5*v**3 - 2/5*v**w + 0*v + 2/5*v**2 = 0.
-1, 0, 1
Suppose 0*k = -2*k + 26. Suppose -v + 9 = -i, -2*v + 3*i + 2 + k = 0. Find o such that -2*o - o**2 + 6*o - 3*o - v*o**3 = 0.
-1/3, 0, 1/4
Suppose -5*z - o = -30, z - 17 = -0*o + 2*o. Determine d so that -8*d + 4 + z + 17*d + 3*d**2 - 5 = 0.
-2, -1
Let x(b) be the second derivative of b**7/9 - 19*b**6/60 + 7*b**5/30 + b**4/24 - b**3/18 + 34*b. Let x(o) = 0. Calculate o.
-1/4, 0, 2/7, 1
Let r(s) be the first derivative of 27*s**4/4 + 3*s**3 - 15*s**2/2 + 3*s - 1. Factor r(h).
3*(h + 1)*(3*h - 1)**2
Suppose 3*m + 6 = 5*m. Factor -4 + 5*i - 2*i**m + 0 - 3*i + 4*i.
-2*(i - 1)**2*(i + 2)
Let b = -14 - -20. Factor 3*a + b*a**5 - 9*a**4 + 5*a**2 - 3*a - 2*a**2.
3*a**2*(a - 1)**2*(2*a + 1)
Suppose b = 2*b - 1. Let u be (-5)/(-2) - b/2. Factor -z**2 + 0*z**2 - z**3 + 3*z**u - z.
-z*(z - 1)**2
Find s, given that 20/9*s**3 + 4/3*s**2 + 0 - 4/3*s**4 - 4/9*s - 16/9*s**5 = 0.
-1, 0, 1/4, 1
Suppose -2*m - 22 = 2*s - m, -3*s - 5*m = 33. Let n(c) = 9*c**2 - 15*c. Let d(z) = -5*z**2 + 8*z. Let f(i) = s*d(i) - 6*n(i). Determine t, given that f(t) = 0.
-2, 0
Suppose -4*a + 149 = 2*y - 73, 5*y = a - 50. Let l = -163/3 + a. Factor -2/3 - l*f**2 + 4/3*f.
-2*(f - 1)**2/3
Solve -6/17 - 12/17*y**3 + 10/17*y**4 - 2/17*y**5 + 14/17*y - 4/17*y**2 = 0.
-1, 1, 3
Solve -7*r**2 + 9*r - 5*r**3 - 3*r + 4*r**3 + 2*r**2 = 0.
-6, 0, 1
Let z(w) be the third derivative of w**8/784 + 3*w**7/245 + 11*w**6/280 + w**5/70 - 3*w**4/14 - 4*w**3/7