a(b) - 3*y(b). Factor j(u).
3*u**2*(u - 4)*(u - 1)*(u + 1)
Let t(h) be the third derivative of h**8/105 - 62*h**7/525 + 2*h**6/75 + 131*h**5/75 - 8*h**4/3 - 56*h**3/15 - 19*h**2 - 1. Solve t(i) = 0 for i.
-2, -1/4, 1, 2, 7
Let r(u) = -3*u**5 + 7*u**3 + 4*u**2 - 4. Let j(l) = l**5 - l**4 - l**3 - l + 1. Suppose 0 = 4*h + 17 - 1. Let x(f) = h*j(f) - r(f). Let x(a) = 0. What is a?
-1, 0, 1, 2
Suppose y + 4*g - 10 = 0, y - 2*y = -3*g + 4. Let 2/11*r + 2/11*r**y + 0 = 0. Calculate r.
-1, 0
Let i = 3 + -1. Let u = 17 + -12. Suppose 6*m**2 + m + i*m + u*m**2 - 2*m**2 = 0. Calculate m.
-1/3, 0
Let w(c) = c**3 + c**2 - c - 1. Let m(f) = -f - 2. Let h be m(-4). Let u be w(h). Suppose 16*z + 6*z**2 + 41*z + 9*z**2 + 12 - 21*z**3 - u*z = 0. What is z?
-1, -2/7, 2
Let y(x) = 2*x**3 + 4*x**2 - 6*x - 12. Let f be (11/((-33)/12))/(0 + -1). Let v(g) = 4*g**3 + 8*g**2 - 11*g - 24. Let m(a) = f*v(a) - 9*y(a). Factor m(u).
-2*(u - 2)*(u + 1)*(u + 3)
Factor -3*f**3 - 28*f**2 + 33*f**3 - 31*f**3 + 60*f.
-f*(f - 2)*(f + 30)
Let x = 5615/6666 - 10/1111. Suppose 0 - x*g + 1/6*g**3 + 2/3*g**2 = 0. What is g?
-5, 0, 1
Let g(c) = -c - 1. Let q(v) = -4*v**2 + 25*v - 227. Let d(m) = -2*m**2 + 13*m - 113. Let h(n) = -9*d(n) + 4*q(n). Let r(j) = 22*g(j) + 2*h(j). Factor r(y).
4*(y - 7)**2
Let o(s) be the third derivative of 1/147*s**7 + 0 - 1/1176*s**8 + 0*s**4 + 0*s**6 + 0*s**5 + 0*s**3 - 9*s**2 + 0*s. Factor o(t).
-2*t**4*(t - 5)/7
Let b be ((-1977)/(-1476))/(-7 - 24/(-3)). Let v = b + -1/164. Factor x**5 + 0 + 0*x**2 + 0*x + v*x**4 + 1/3*x**3.
x**3*(x + 1)*(3*x + 1)/3
Let f(b) = -22*b**2 - 2*b - 64. Let r(p) = -26*p**2 - p - 64. Let v(k) = 7*f(k) - 6*r(k). Factor v(x).
2*(x - 8)*(x + 4)
Solve 99*w**2 - 107*w**2 + w**4 - 3*w**3 + 0*w**4 + w**3 = 0.
-2, 0, 4
Let w(d) = -7*d**2 + 3*d + 43. Let q(v) = -64*v**2 + 24*v + 388. Let j(n) = 3*q(n) - 28*w(n). Solve j(h) = 0.
-2, 5
Suppose -200/7 + 20/7*n + 44/7*n**3 + 132/7*n**2 + 4/7*n**4 = 0. What is n?
-5, -2, 1
Factor -15*g**2 - 323*g**3 + 3*g + 15*g**4 + 103*g**3 + 111*g**3 + 106*g**3.
3*g*(g - 1)*(g + 1)*(5*g - 1)
Let l = 502 + -494. Let d(x) be the second derivative of 0 - l*x - 9/10*x**5 - 1/2*x**3 - x**4 + 0*x**2 - 1/14*x**7 - 2/5*x**6. Factor d(t).
-3*t*(t + 1)**4
Let d = 12187/18 + -677. Let g(m) be the second derivative of -4*m + 1/9*m**3 + d*m**4 + 0 + 0*m**2. What is j in g(j) = 0?
-1, 0
Factor -61/4 - 1/4*q**2 - 31/2*q.
-(q + 1)*(q + 61)/4
Let q(l) = 1475*l**3 + 2485*l**2 + 815*l - 330. Let k(v) = 67*v**3 + 113*v**2 + 37*v - 15. Let t(m) = -45*k(m) + 2*q(m). Factor t(g).
-5*(g + 1)**2*(13*g - 3)
Let v = 4504 - 4502. Determine z so that 0 + 4/9*z**v + 2/9*z**3 - 2/3*z = 0.
-3, 0, 1
Let b = 27152 - 27150. Determine x, given that 2/13*x**b - 10/13*x + 8/13 = 0.
1, 4
Let w(r) be the third derivative of r**7/280 + r**6/40 + 3*r**5/40 + r**4/8 + r**3/8 + 6*r**2 - 9. Determine n so that w(n) = 0.
-1
Suppose -112*y + 408 - 77 + 117 = 0. Factor -10/3*i**2 - 1/3 - 10/3*i**3 - 5/3*i - 1/3*i**5 - 5/3*i**y.
-(i + 1)**5/3
Let v be 22/3 + -2*(2 + 0). Let x = v - 37/12. Factor 0 - x*l**4 - 1/4*l**3 + 1/4*l**2 + 0*l + 1/4*l**5.
l**2*(l - 1)**2*(l + 1)/4
Let l(t) be the second derivative of -t**5/4 - 5*t**4/2 + 5*t**3/6 + 15*t**2 + 3*t + 196. Factor l(c).
-5*(c - 1)*(c + 1)*(c + 6)
Let t(a) = 833*a. Let x be t(0). Determine s, given that 2/3*s**2 + x + 2/3*s = 0.
-1, 0
Suppose -6*r + 62 = 8. Solve 10*a**5 - 5*a**3 + 23*a**2 - 6*a**4 - 8*a**2 - r*a**4 - 5*a = 0.
-1, 0, 1/2, 1
Let a(f) be the third derivative of -f**6/5 + 33*f**5/20 - 9*f**4/2 + 2*f**3 + f**2 - 431. Find p such that a(p) = 0.
1/8, 2
Let m be ((-3)/2 - -1)/(568/(-426)). Suppose 0 + 3/8*v + 3/8*v**4 - m*v**2 - 3/8*v**3 = 0. Calculate v.
-1, 0, 1
Let w(k) = 10*k**3 + 7*k**2 + 1 + k**3 - 2*k**3. Let f(s) = 4*s**3 + 3*s**2. Let p(a) = 7*f(a) - 3*w(a). Let c(m) be the first derivative of p(m). Factor c(j).
3*j**2
Let g(w) = -20*w**4 - 35*w**3 + 55*w**2 + 5. Let t(i) = -i**5 - 23*i**4 - 34*i**3 + 54*i**2 + 6. Let r(z) = 6*g(z) - 5*t(z). Let r(s) = 0. What is s?
-3, 0, 2
Suppose 0 = y + 1313*n - 1312*n - 5, -5*y + 2*n + 4 = 0. Factor 21/2*i**y + 3/2*i**3 + 18 + 24*i.
3*(i + 2)**2*(i + 3)/2
What is c in 2/17*c**3 - 30/17*c**2 - 2/17*c + 30/17 = 0?
-1, 1, 15
Factor -66*w**2 - 43403*w**3 + 86668*w**3 - 43328*w**3 + 3*w**4.
3*w**2*(w - 22)*(w + 1)
Let u(y) be the first derivative of -y**7/210 - y**6/24 - 3*y**5/20 - 7*y**4/24 - y**3/3 + 3*y**2 - 6. Let t(f) be the second derivative of u(f). Factor t(m).
-(m + 1)**3*(m + 2)
Let i = -8782/9 + 976. Let w(u) be the third derivative of 1/315*u**7 + 0 + 1/36*u**6 + i*u**3 + 1/10*u**5 + 0*u + 6*u**2 + 7/36*u**4. Solve w(d) = 0.
-2, -1
Factor -180*t**2 + 365/2*t - 5/2*t**3 + 0.
-5*t*(t - 1)*(t + 73)/2
Let y(w) = 26*w**3 + 5*w**2 - 37*w - 5. Let q(g) = g**2 - g - 1. Let j(b) = -22*q(b) + 2*y(b). Find f, given that j(f) = 0.
-1, 3/13, 1
Let f(h) be the second derivative of -h**4/12 + h**3/3 - 26*h. Let o be f(2). Factor -12/5*v**2 + o - 4/5*v**3 - 8/5*v.
-4*v*(v + 1)*(v + 2)/5
Let q(s) = -5*s**2 + s. Let i(f) = -92*f**2 + 40*f - 56. Let n(j) = 2*i(j) - 36*q(j). Factor n(l).
-4*(l - 7)*(l - 4)
Let r(j) be the first derivative of 2*j**7/315 - j**6/45 + j**4/9 - 2*j**3/9 + 7*j**2/2 + 14. Let z(o) be the second derivative of r(o). Solve z(a) = 0 for a.
-1, 1
Let s be (-21)/(-2 + 9) + 3. Let h(z) be the first derivative of 0*z**2 - 7 + 1/16*z**4 + 1/12*z**3 + s*z. Factor h(o).
o**2*(o + 1)/4
Let k(g) = -g**2 + 26*g + 2. Let r be k(26). Let a(m) be the first derivative of 1/2*m**r - 1/3*m**3 + 1 + 2/3*m - 7/12*m**4 - 1/5*m**5. Solve a(w) = 0.
-1, 2/3
Let g = 5831 + -5828. Determine n so that 2/5 - 4/5*n**g - 6/5*n**4 + 6/5*n - 2/5*n**5 + 4/5*n**2 = 0.
-1, 1
Let k(d) be the first derivative of -1/12*d**4 - 1/18*d**5 + 0*d + d**3 - 2 - 1/180*d**6 - d**2. Let q(f) be the second derivative of k(f). Factor q(s).
-2*(s - 1)*(s + 3)**2/3
Factor -11/3*a**3 - 25/3*a**2 + 1/3*a**4 - 13/3*a + 0.
a*(a - 13)*(a + 1)**2/3
Let d(r) be the first derivative of 55*r**2 + 5/3*r**3 - 10 + 605*r. Factor d(m).
5*(m + 11)**2
Suppose 2*b = 12*b + 70. Let z = b + 10. Factor 2/5 + 2/5*w**4 + 0*w**z + 0*w - 4/5*w**2.
2*(w - 1)**2*(w + 1)**2/5
Let c(x) be the first derivative of x**3/9 - 10*x**2 + 300*x - 125. Determine n so that c(n) = 0.
30
Let w(h) = 2*h**3 - 20*h**2 + 45*h + 159. Let m(d) = 20*d**2 - 46*d - 154. Let z(o) = -3*m(o) - 2*w(o). Find t, given that z(t) = 0.
-6, -2, 3
Let d(u) = -2*u - 10. Let w be d(-7). Let 172*x + w*x**2 - x**2 - 178*x - 9 = 0. Calculate x.
-1, 3
Let r(p) be the first derivative of p**8/2240 + 3*p**7/1120 + p**6/160 + p**5/160 - 7*p**3 - 20. Let j(s) be the third derivative of r(s). Factor j(g).
3*g*(g + 1)**3/4
Find q such that -1/4*q**3 + 0 + 3/2*q**2 + 0*q = 0.
0, 6
Suppose 649*n + 100 = 699*n. Suppose -2*c**n - 20/9 - 94/9*c = 0. Calculate c.
-5, -2/9
Let r(j) be the second derivative of j**6/480 - j**5/240 - j**4/96 + j**3/24 - 3*j**2/2 + 17*j. Let s(o) be the first derivative of r(o). Factor s(z).
(z - 1)**2*(z + 1)/4
Let i(k) = -k**3 - 9*k**2 + 9*k - 8. Let n be i(-10). Let u(j) be the first derivative of 0*j - 4 + 1/4*j**3 - 3/8*j**n. Let u(b) = 0. Calculate b.
0, 1
Let m(p) be the third derivative of -p**5/450 + p**4/45 - p**3/15 - 48*p**2. Factor m(u).
-2*(u - 3)*(u - 1)/15
Let p = -812 - -816. Let t(r) be the third derivative of 5/4*r**5 + 0*r - 5*r**2 + 0 - 5/4*r**p + 1/2*r**3. Let t(b) = 0. Calculate b.
1/5
Let k(l) = -l**2 - 1. Let j = 23 + -24. Let u(t) = -20*t - 4. Let z(n) = j*u(n) + 4*k(n). Find h, given that z(h) = 0.
0, 5
Let n(c) be the third derivative of 8*c**6/45 - 4*c**5/15 + c**4/6 + 5*c**3/3 - 3*c**2. Let j(f) be the first derivative of n(f). Suppose j(z) = 0. Calculate z.
1/4
Let v(q) be the first derivative of 2*q**6 - 92*q**5/5 + 160*q**4/3 - 400*q**3/9 + 793. Determine u, given that v(u) = 0.
0, 1, 10/3
Let s = 34/3 - 59/6. Factor 3*a**3 - 6*a**2 + 9/2 - 3*a + s*a**4.
3*(a - 1)**2*(a + 1)*(a + 3)/2
Let s(u) be the third derivative of u**5/60 + u**4/24 - 2*u**2 + 36. Factor s(y).
y*(y + 1)
Let s be 20/16*12/3. Factor -s*h**4 - 30*h**2 - 8 + 20*h - 1 + 20*h**3 + 4.
-5*(h - 1)**4
Suppose -660 = -13*u + 18*u. Let l be 3/16*u/(-11). Solve -1/4*f**2 - 3/2*f - l = 0.
-3
Let q(o) be the second derivative of o**7/1