. Find q, given that 0*q**2 + 2/7*q**r - 4/7 - 6/7*q = 0.
-1, 2
Let b be (2 - (-2 - -2))/(40 - 0). Let f(q) be the third derivative of 1/3*q**3 + 1/210*q**7 + q**2 - 1/24*q**4 + 0*q + 1/120*q**6 + 0 - b*q**5. Factor f(h).
(h - 1)**2*(h + 1)*(h + 2)
Let w(y) be the third derivative of -y**5/270 - 6*y**2. Solve w(l) = 0.
0
Let b(k) be the first derivative of -k**3/3 + k + 7. Factor b(h).
-(h - 1)*(h + 1)
Let g(q) = 20*q**3 + 23*q**2 - 14*q. Let r(j) = 5*j - 10*j**2 + 2*j**2 - 7*j**3 + 0*j**2. Let u(t) = 6*g(t) + 17*r(t). Determine b, given that u(b) = 0.
-1, 0
Let s(r) be the second derivative of -1/15*r**6 - 2*r**2 + 0 + 2*r - 1/10*r**5 + 1/2*r**4 + 1/3*r**3. Suppose s(j) = 0. Calculate j.
-2, -1, 1
Let c(a) be the second derivative of a**6/105 - a**5/35 + a**4/42 + 12*a. Solve c(p) = 0.
0, 1
Factor 0 - 112/11*t**3 + 96/11*t**4 - 4/11*t + 38/11*t**2.
2*t*(3*t - 2)*(4*t - 1)**2/11
Let d(v) = v. Let l(b) = 4*b - 3. Let t be l(2). Let u(g) = g**2 - t*g**2 - 4*g**2. Let w(m) = 2*d(m) - u(m). Factor w(n).
2*n*(4*n + 1)
Let k be ((-4)/(-3))/(6/9). Factor b**2 + 6*b**3 - 3*b**5 - 3*b**4 + 0 + 3*b**2 + k*b**2 - 3*b - 3.
-3*(b - 1)**2*(b + 1)**3
Suppose 0 = 7*v - 8*v + 4. Let 10*f**3 + 10*f**3 + 2*f**4 - 17*f**3 + f**v = 0. What is f?
-1, 0
Let b = -134 - -406/3. Determine f, given that -2/3*f**3 - b*f**2 + 0*f + 0 = 0.
-2, 0
Let f(a) = 65*a**3 - 10*a**2 + 3*a + 3. Let w(g) = -195*g**3 + 30*g**2 - 8*g - 8. Let l(m) = 8*f(m) + 3*w(m). Factor l(d).
-5*d**2*(13*d - 2)
Let t(s) be the second derivative of 3*s**5/20 + s**4/4 + 6*s. Factor t(p).
3*p**2*(p + 1)
Let o(k) = -5*k**4 - 8*k**3 - 2*k**2 + 8*k + 7. Let v(z) = 85*z**4 + 135*z**3 + 35*z**2 - 135*z - 120. Let j(g) = -35*o(g) - 2*v(g). Factor j(h).
5*(h - 1)*(h + 1)**3
Factor -5*x**2 + 5*x**2 - 27*x**4 - x**3 + 21*x**5 + 7*x**3.
3*x**3*(x - 1)*(7*x - 2)
Suppose 1 = 2*z - 9. Determine f so that z*f**2 - 15*f**4 + 4 + 11*f + 6*f**4 + f - 12*f**3 = 0.
-1, -2/3, 1
Let j(b) = b**2 + b - 1. Let y be (-4)/14 + 48/21. Let q(f) = 8*f**2 + 7*f - 8. Let o(z) = y*q(z) - 14*j(z). Suppose o(u) = 0. Calculate u.
-1, 1
Find r such that -1/4 + 1/8*r + 1/8*r**5 - 1/4*r**3 + 1/2*r**2 - 1/4*r**4 = 0.
-1, 1, 2
Let 4*c**3 - 2*c**2 + 46*c**4 - 48*c**4 - 8*c**3 = 0. Calculate c.
-1, 0
Let z(b) be the second derivative of b**4/96 - 7*b**3/24 + 49*b**2/16 + 18*b. Suppose z(m) = 0. Calculate m.
7
Suppose 1 = 2*k - t - 3, 2*k + 2*t - 10 = 0. Determine p so that p**2 - 5*p - p**k + 0*p**2 + 3*p**2 + 4 - 2 = 0.
1, 2
Suppose -25 - 15 = -4*j. Suppose j = 5*f - 0*f. Factor -104/5*o + 98/5*o**3 - 16/5 - 28*o**f.
2*(o - 2)*(7*o + 2)**2/5
Let p(n) be the second derivative of -n**5/40 - n**4/16 - n**3/24 + 8*n. Factor p(d).
-d*(d + 1)*(2*d + 1)/4
Factor 0*n**2 + 2/9*n**3 - 2/9*n + 0.
2*n*(n - 1)*(n + 1)/9
Let t(n) be the third derivative of -n**5/150 - n**4/4 - 10*n**2 + 3*n. Determine j, given that t(j) = 0.
-15, 0
Let t be 2/(-2*4/1404). Let a be 1*6*(-18)/t. Determine i, given that 2/13*i**4 - 6/13*i**3 + 0*i + 0 + a*i**2 = 0.
0, 1, 2
Let s = -37 - -39. Factor -2/11*y + 0 - 2/11*y**s.
-2*y*(y + 1)/11
Let n(k) = -6*k**2 - 10*k - 6. Let u(r) = r**3 - 5*r**2 - 10*r - 7. Let j(q) = -3*n(q) + 2*u(q). Find h, given that j(h) = 0.
-2, -1
Let q(c) = -c - 3. Let d be q(-5). Let o(f) be the first derivative of -1/5*f**2 + 2/15*f**3 + d + 0*f. Factor o(n).
2*n*(n - 1)/5
Let i(r) be the first derivative of r**9/3024 - r**8/560 + r**7/840 + r**6/120 - r**5/60 + 2*r**3/3 - 3. Let g(f) be the third derivative of i(f). Factor g(h).
h*(h - 2)*(h - 1)**2*(h + 1)
Find y, given that -y - 4*y**3 + 4*y**2 - 2 + 2*y + y + 2*y**5 - 2*y**4 = 0.
-1, 1
Let b = 4 + -2. Suppose 0 = -a - 0 + b. Find h, given that -1/4 + 1/2*h**a + 1/4*h**5 - 1/2*h**3 - 1/4*h**4 + 1/4*h = 0.
-1, 1
Let i(r) be the first derivative of -6*r**6 + 12*r**5/5 + 27*r**4/4 - 3*r**2/2 + 5. Find t, given that i(t) = 0.
-1/2, 0, 1/3, 1
Let a be ((-12)/(-48))/((-3)/(-11 - -2)). Factor -a*n - 3/4*n**5 + 0*n**2 + 0*n**4 + 3/2*n**3 + 0.
-3*n*(n - 1)**2*(n + 1)**2/4
Let m(l) be the second derivative of 7*l + 1/20*l**5 - 5/24*l**3 - 1/30*l**6 + 1/168*l**7 + 1/4*l**2 + 0 + 1/24*l**4. Suppose m(b) = 0. What is b?
-1, 1, 2
Let i(w) be the third derivative of 0*w**5 + 0*w + 1/420*w**6 + 5*w**2 + 0*w**3 - 1/735*w**7 + 0*w**4 + 0. Factor i(k).
-2*k**3*(k - 1)/7
Suppose 2*y - 3*z + 0 = 3, -z - 1 = y. Factor 0*p + 1/4*p**2 + y.
p**2/4
Let j(m) be the first derivative of 3*m**4/4 + 2*m**3 + 3*m**2/2 + 10. Let j(g) = 0. Calculate g.
-1, 0
Let h(d) be the first derivative of -d**8/336 + d**7/210 + d**6/120 - d**5/60 + 4*d**2 - 8. Let w(a) be the second derivative of h(a). Factor w(z).
-z**2*(z - 1)**2*(z + 1)
Let n = 34 - 20. Suppose h + 6 = -5*f, 6*f - 3*f - n = -5*h. Let 0 + 3/4*v**2 - 3/4*v**h - 3/4*v**5 + 0*v + 3/4*v**3 = 0. Calculate v.
-1, 0, 1
Let j(a) = 3*a**3 + 11*a**2 + a. Let o(u) = -4*u**3 - 16*u**2 - u. Let b(g) = 7*j(g) + 5*o(g). Let b(z) = 0. What is z?
0, 1, 2
Let i(f) = -f - 2. Let c(s) = -5*s**2 - s. Let v be c(1). Let l be i(v). Solve -2/3*a**2 + 1/3*a**l + 0*a + 1/3 + 0*a**3 = 0 for a.
-1, 1
Let v = -332 - -8301/25. Let q(r) be the second derivative of r - 1/75*r**6 + 0*r**4 + 2/15*r**3 + 0 - v*r**5 + 1/5*r**2. Factor q(l).
-2*(l - 1)*(l + 1)**3/5
Let c(w) = w + 2. Let o(q) = q**2 + 5*q - 6. Let v be o(-6). Let l be c(v). Let 1 + 5*b**2 - 2*b**l - 4*b**2 = 0. What is b?
-1, 1
Suppose 2*g = 3*g - 3. Suppose g*t = -x + 6 + 10, 0 = t - 4*x + 12. Determine z, given that 2 + 4*z + z + 0 - t*z - z**2 = 0.
-1, 2
Let u(f) be the first derivative of f**7/4620 - f**6/1980 + 4*f**3/3 - 3. Let x(g) be the third derivative of u(g). Solve x(t) = 0.
0, 1
Let y(j) = -9*j**5 + 8*j**4 + 21*j**3 - 27*j**2 - 5. Let n(v) = -4*v**5 + 4*v**4 + 10*v**3 - 14*v**2 - 2. Let g(z) = 5*n(z) - 2*y(z). Solve g(f) = 0.
-2, 0, 2
Solve 3*u + 0 + 6 - 2*u**2 + u = 0 for u.
-1, 3
Let k(v) = -v**3 + 12*v**2 - 11*v - 2. Let p be k(11). Let a be 0/(p - 0/5). Let 2/3*f**4 + 7/3*f**3 + a*f - 7/3*f**5 - 2/3*f**2 + 0 = 0. What is f?
-1, 0, 2/7, 1
Let f(b) be the third derivative of b**7/490 - b**5/140 - 2*b**2. Factor f(k).
3*k**2*(k - 1)*(k + 1)/7
Let r(k) be the first derivative of 1/2*k**4 + 2 + 4*k - 4/3*k**3 - k**2. Factor r(z).
2*(z - 2)*(z - 1)*(z + 1)
Let p(s) = 7*s**3 - 11*s**2 - 2*s + 1. Let w(b) = 10*b**3 - 16*b**2 - 3*b + 2. Let f(j) = -7*p(j) + 5*w(j). Suppose f(k) = 0. Calculate k.
-1, 1, 3
Let b(l) be the third derivative of l**5/30 + l**4/12 - 2*l**3/3 - 3*l**2. Determine j, given that b(j) = 0.
-2, 1
Factor -2/9*k**2 - 2/3*k**4 + 0*k + 0 - 8/9*k**3.
-2*k**2*(k + 1)*(3*k + 1)/9
Let w(k) = k**4 + k**2 - k + 1. Let u(g) = -g**5 + 8*g**4 + 9*g**2 - 9*g + 9. Let y(d) = 2*u(d) - 18*w(d). Determine o so that y(o) = 0.
-1, 0
Let q be (20/15)/((-6)/(-18)). Solve -8/9*r**2 + 4/9*r**3 + 4/9*r**q - 2/9*r**5 + 4/9 - 2/9*r = 0 for r.
-1, 1, 2
Factor 0*u + 1/2*u**2 - 1/2*u**3 + 0.
-u**2*(u - 1)/2
Let v = 5 - 7. Let t be v/(-7) - 12/(-7). Factor 4*l**2 - 2*l**2 + 4 - 4 + t*l.
2*l*(l + 1)
Let k(h) be the third derivative of -h**5/480 + h**4/192 + 9*h**2. Factor k(q).
-q*(q - 1)/8
Let z(f) be the first derivative of -f**4/6 + f**2 - f + 3. Let j(q) be the first derivative of z(q). Factor j(n).
-2*(n - 1)*(n + 1)
Let z(g) = -8*g**2 - 4*g - 2. Let w(b) = b**2 + b. Let i(a) = 21*w(a) + 3*z(a). Factor i(j).
-3*(j - 2)*(j - 1)
Let v(n) = 14*n**2 + n + 1. Let t be v(-1). Let a = t - 9. Factor -2*l**3 - 2/3*l**2 + 10/3*l**4 - 4/3*l**a + 0 + 2/3*l.
-2*l*(l - 1)**3*(2*l + 1)/3
Solve 2*v**2 - 20*v**4 + 0*v**3 + 16*v**5 - 34*v + 2*v**3 + 34*v = 0.
-1/4, 0, 1/2, 1
Let x(v) be the first derivative of 0*v**2 + 1/9*v**4 + 2/9*v**3 - 4*v + 1/60*v**5 - 1. Let b(r) be the first derivative of x(r). Let b(z) = 0. What is z?
-2, 0
Let u(n) be the first derivative of -3/2*n**3 + 3/10*n**5 + 3/2*n**2 + 0*n**4 + 9 + 0*n. Find q, given that u(q) = 0.
-2, 0, 1
Let l = 4 - 0. Factor -q**3 + 3*q**3 + 6*q**2 + 1 + l*q + q**4 + 2*q**3.
(q + 1)**4
Suppose 4*d - u + 247 = 0, 10 = -d - 2*u - 63. Let j be (7/d)/(1/(-3)). Determine t so that t**2 + 1/3*t**3 - j*t - 2/3*t**4 - 1/3 = 0.
-1, -1/2, 1
Suppose 2*d + 3 = -k, -k + 18 = k - 2*d. Factor m**2 + 2*m**2 + k*m - 4*m**4 + 0*m**4 - 4*m.
-m*(m - 1)*(2*m + 1)**2
Let c(z) be the second derivative of -z**5/100 + 7*z**4/6