et y(v) = 4*b(v) - u(v). Factor y(h).
-3*h*(h + 1)**3*(4*h + 1)
Let a be -2*(2/4)/((-5)/15). Solve -1/2*b**a + b - 1/2*b**2 + 0 = 0 for b.
-2, 0, 1
Suppose -h = 2*h - 6. Find r, given that 64 + 0*r**h + 4*r**2 - 16*r - 16*r = 0.
4
Let q(p) = p**2 - 5*p - 14. Let s be q(7). Factor s + 1/5*d**2 + 2/5*d.
d*(d + 2)/5
Let q be ((-2)/(-3))/((-2)/(-9)). Determine h so that 11*h**q + 8*h**4 + 0*h**2 + 2*h**5 + 4*h**2 - h**3 = 0.
-2, -1, 0
Let v(w) = -w**2 - 18*w - 78. Let h be v(-8). Factor -3 - 1/3*i**h - 2*i.
-(i + 3)**2/3
Let x be 151*((-16)/(-150))/8 + -2. Let a(b) be the third derivative of 1/300*b**6 - 1/60*b**4 + 2/15*b**3 + 0 - x*b**5 + b**2 + 0*b. Factor a(p).
2*(p - 2)*(p - 1)*(p + 1)/5
Let z(c) be the third derivative of c**10/37800 + c**9/75600 + c**4/12 + 3*c**2. Let t(l) be the second derivative of z(l). Find i such that t(i) = 0.
-1/4, 0
Let b be ((-6)/45 + 0)/((-4)/1). Let p(j) be the third derivative of 0 + 1/60*j**6 - 1/3*j**3 + b*j**5 - 1/12*j**4 + 3*j**2 + 0*j. Factor p(q).
2*(q - 1)*(q + 1)**2
Let d(r) be the third derivative of r**8/168 + r**7/105 - r**6/60 - r**5/30 - 7*r**2. Factor d(s).
2*s**2*(s - 1)*(s + 1)**2
Let y(g) = -10*g**2 - 8*g + 6. Let n(l) = -11*l**2 - 8*l + 5. Let f(a) = -6*n(a) + 7*y(a). What is d in f(d) = 0?
-3, 1
Let i(z) = -2*z**5 - 4*z**4 - 4*z**2 - 4. Let l(b) be the third derivative of b**8/336 + b**5/60 + b**3/6 - b**2. Let y(c) = -i(c) - 4*l(c). Factor y(k).
-2*k**4*(k - 2)
Suppose -3*c + 24 = 12. Let b(a) be the second derivative of 0*a**5 - 1/84*a**7 + 1/30*a**6 + 0*a**2 + 0 + 2*a + 1/12*a**3 - 1/12*a**c. Factor b(p).
-p*(p - 1)**3*(p + 1)/2
What is j in -3*j - 6/5 - 12/5*j**2 - 3/5*j**3 = 0?
-2, -1
Let n = -186 + 1304/7. Suppose 0 - 16/7*z - 12/7*z**3 - n*z**4 - 24/7*z**2 = 0. What is z?
-2, 0
Let q(h) = 989*h**2 - 831*h + 171. Let x(l) = -247*l**2 + 208*l - 43. Let o(d) = -2*q(d) - 9*x(d). Determine c, given that o(c) = 0.
3/7
Determine r, given that 0*r + 0 - 2/5*r**3 + 1/5*r**2 + 1/5*r**4 = 0.
0, 1
Factor -21/4*v**2 - 27/4*v - 3/2.
-3*(v + 1)*(7*v + 2)/4
Let h = -113/1644 + 396527/156180. Let d = h + -4/57. Let 0 - 2/5*a + d*a**3 - 3/5*a**2 - 7/5*a**4 = 0. What is a?
-2/7, 0, 1
Let t(m) be the third derivative of m**9/181440 + m**8/20160 + m**7/7560 - m**5/20 + 2*m**2. Let z(n) be the third derivative of t(n). Solve z(g) = 0 for g.
-2, -1, 0
Let j(s) = s - 3. Let t be j(6). Factor 4*o**4 - o - 4*o**3 - 4*o**3 - o**5 + 2*o**t + 4*o**2.
-o*(o - 1)**4
Let s(v) be the first derivative of v**6/180 + v**5/30 + v**3 - 2. Let g(c) be the third derivative of s(c). Factor g(x).
2*x*(x + 2)
Let r(m) be the second derivative of m**4/6 - m**3/3 + 2*m. What is w in r(w) = 0?
0, 1
Let m be (17/(-595))/(2/(-14)). Factor -1/5*g + 0 - m*g**2.
-g*(g + 1)/5
What is i in 1 + 3*i**2 - 4 + 3 + i**3 - 4 = 0?
-2, 1
Let o(r) = -r + 4. Let g be o(9). Let n = 5 + g. Factor -2/5*j + 2/5*j**2 + n.
2*j*(j - 1)/5
Let k(h) = h**2 - 7*h + 2. Let d be k(7). Determine q, given that 1 - 4 + 2 + 2*q**d + 3 - 5*q = 0.
1/2, 2
Let a(m) be the first derivative of -m**6/30 - m**5/20 + m**4/12 + m**3/6 + m + 1. Let w(h) be the first derivative of a(h). Factor w(x).
-x*(x - 1)*(x + 1)**2
Let w(i) be the second derivative of -i**6/135 + i**5/45 - 2*i**3/27 + i**2/9 + 7*i. Factor w(h).
-2*(h - 1)**3*(h + 1)/9
Let u(g) = -3*g**2 + 3*g - 1. Let m(b) = -1 + 2*b - 3*b**2 - 5*b + 2*b**2 + 2*b. Let q(l) = m(l) - u(l). Suppose q(p) = 0. What is p?
0, 2
Suppose -4*a - n = -2*n - 7, -4 = -4*n. Solve -6*k**a - 7*k**3 - 3*k - 3*k**3 + 7*k**3 = 0.
-1, 0
Let y = 8 + -8. Let c be (3 + -1 + -3)*-6. Let -c*f**2 + 1 + y + 4*f**2 - f = 0. Calculate f.
-1, 1/2
Let f(n) = -18*n**2 - 12*n + 6. Let r(d) = -d**2 - d. Let s(l) = -f(l) + 15*r(l). Factor s(u).
3*(u - 2)*(u + 1)
Determine x, given that -53*x**2 - 53*x**2 + 102*x**2 = 0.
0
Let p = 5 - 5. Let k(y) be the third derivative of 0*y**3 + 0 - 1/210*y**5 - 1/420*y**6 - y**2 + 0*y + p*y**4. Suppose k(o) = 0. What is o?
-1, 0
Let s be (-1)/(-3)*-2*(-84)/364. Solve 0*z**2 + 0 + s*z**3 - 2/13*z = 0.
-1, 0, 1
Let v = 57 + -57. Let g(c) be the third derivative of 1/12*c**4 - 7/60*c**6 + v*c**3 - c**2 + 1/20*c**5 + 0 + 0*c. Factor g(z).
-z*(2*z - 1)*(7*z + 2)
Let z be -3 + 2948/180 + -3. Let j = z + -88/9. Factor j*u**3 + u - 1/5 - 7/5*u**2.
(u - 1)**2*(3*u - 1)/5
Let m(z) be the first derivative of -z**6/18 + z**5/5 - z**4/4 + z**3/9 - 7. Factor m(w).
-w**2*(w - 1)**3/3
Let j(x) be the second derivative of -x**5/90 + x**4/18 + 4*x**3/27 + 40*x. Solve j(y) = 0 for y.
-1, 0, 4
Let v(f) = f**3 - 7*f**2 + f - 7. Let h be v(7). Find c, given that 2 + c - 2*c**2 - 3*c + h*c**2 + 2*c**3 = 0.
-1, 1
What is r in -21/5*r - 3*r**3 + 27/5*r**2 + 3/5*r**4 + 6/5 = 0?
1, 2
Suppose -4*r + 0*r - 48 = 0. Let n be r/9*-3 - 1. Factor 2*z**4 + z**5 + 0*z**5 - 2*z**2 + 4*z**n - 2 - 5*z + 2*z**4.
(z - 1)*(z + 1)**3*(z + 2)
Suppose -2*u = -5*z - 4, -5*u + 4*z = -3*u - 4. Suppose 0 = 38*v + 460 - 460. Suppose -1/3*f**u + 1/3*f**3 + 0 + v*f = 0. Calculate f.
0, 1
Let h(b) be the second derivative of b**7/180 + b**6/270 - 5*b**3/6 + 3*b. Let s(m) be the second derivative of h(m). Let s(k) = 0. What is k?
-2/7, 0
Factor 0 + 5/6*d**3 + 1/2*d**4 + 1/3*d**2 + 0*d.
d**2*(d + 1)*(3*d + 2)/6
Let c(j) = 4*j + 1. Let s be 2 - (-1 + -2 + 2). Let x(o) = -o**2 + 8*o + 2. Let z(h) = s*x(h) - 7*c(h). Factor z(v).
-(v + 1)*(3*v + 1)
Let a(h) = h - 3. Let g be a(3). Let d(k) be the third derivative of -1/12*k**4 + g*k - 1/60*k**6 + 1/15*k**5 + 0 + 0*k**3 - k**2. Factor d(p).
-2*p*(p - 1)**2
Let p(t) be the third derivative of t**10/378000 - t**8/25200 + t**6/1800 + t**5/60 - 3*t**2. Let y(f) be the third derivative of p(f). Factor y(c).
2*(c - 1)**2*(c + 1)**2/5
Let r be 1/3*(-35 + 2). Let z be 5/1 - (r - -14). Factor -d - 1/2*d**z - 1/2.
-(d + 1)**2/2
Let u(d) be the second derivative of d**5/10 - 7*d**4/6 + 8*d**3/3 + 16*d**2 + 3*d. Factor u(j).
2*(j - 4)**2*(j + 1)
Let c(q) = q**3 - 2*q. Let a be c(2). Let k be ((-10)/a)/((-2)/4). Factor -3 + m**k + 4 - 1.
m**5
Let v(d) be the second derivative of -d**8/2730 + d**7/1092 - d**6/2340 + d**3/3 + 7*d. Let j(m) be the second derivative of v(m). Factor j(y).
-2*y**2*(y - 1)*(4*y - 1)/13
Let o = 10/19 - 21/76. Solve o*w**4 + 0 + 0*w**2 + 0*w + 1/4*w**3 = 0.
-1, 0
Let m(i) be the second derivative of i**7/35 + i**6/15 + i**5/25 + 38*i. Factor m(t).
2*t**3*(t + 1)*(3*t + 2)/5
Suppose 0 = 3*g + 20 - 56. Let m = 15 - g. Solve 0*n + 0 + 18/5*n**m - 14/5*n**4 - 4/5*n**2 = 0 for n.
0, 2/7, 1
Let v(k) be the first derivative of -3*k**4/28 + 4*k**3/7 - 9*k**2/14 + 41. Factor v(g).
-3*g*(g - 3)*(g - 1)/7
Factor -1/3*p**2 - 3 + 2*p.
-(p - 3)**2/3
Let t = -326 - -328. Find c such that -8/5*c**t - 2/5*c - 8/5*c**4 + 0 - 2/5*c**5 - 12/5*c**3 = 0.
-1, 0
Let 32/7*d + 16/7*d**3 + 2/7*d**4 + 36/7*d**2 + 10/7 = 0. Calculate d.
-5, -1
Factor 8*w - 8*w + 24*w + 4*w**2 - 64.
4*(w - 2)*(w + 8)
Factor -z**3 + 3 + 16*z - 15*z - 3.
-z*(z - 1)*(z + 1)
Let f(a) be the first derivative of -a**4/30 - 28*a**3/45 + a**2/15 + 28*a/15 - 51. Factor f(i).
-2*(i - 1)*(i + 1)*(i + 14)/15
Let k(o) be the first derivative of 1/13*o**2 - 2 + 0*o - 2/39*o**3. Solve k(c) = 0.
0, 1
Let y(j) be the third derivative of -j**7/630 - j**6/180 + j**5/60 + j**4/18 - 2*j**3/9 - 5*j**2. Factor y(r).
-(r - 1)**2*(r + 2)**2/3
Let 2*r + 0*r - 50*r**2 + 48*r**2 - 4*r = 0. What is r?
-1, 0
Factor 11*d**3 - 2*d**4 + 14*d**2 + 2*d**4 + 6*d - d**3 + 2*d**4.
2*d*(d + 1)**2*(d + 3)
Let o(y) be the third derivative of y**9/141120 - y**5/30 + 5*y**2. Let q(u) be the third derivative of o(u). Let q(z) = 0. What is z?
0
Let i be 1/(-1)*-3 - -2. Suppose -8 - 7 = -i*p. Suppose -3*u + 4*u + 4*u**3 - p*u**3 + 4*u**2 + 2*u**3 = 0. Calculate u.
-1, -1/3, 0
Let c = 13 + -11. Let 0 - 1/4*k**c - 1/4*k = 0. Calculate k.
-1, 0
Let v = -16 + 113/7. Factor 0 - v*c**2 - 1/7*c.
-c*(c + 1)/7
Let c be 2/8 - 14/168. Factor -1/3*y + c*y**2 + 1/6.
(y - 1)**2/6
Let o(a) be the third derivative of a**7/2100 - a**6/200 + a**5/150 + a**4/40 - a**3/12 - 14*a**2. Determine d so that o(d) = 0.
-1, 1, 5
Let n be (-6 - 69/(-12))/((-5)/36). Suppose -3*w**2 + n + 6/5*w = 0. What is w?
-3/5, 1
Suppose d = -0*d - 1. Let z = d - -4. Factor 3*q**2 + q**5 - z*q**2 + q**4.
q**4*(q + 1)
Factor u**2 - 3*u + 11 - 1