x + 6. Let a = 42 - 30. Let i(k) = -3 - 4 + 2 + 4. Let z(o) = a*i(o) + 2*w(o). Solve z(s) = 0 for s.
-1, 0
Suppose 6*n - 25*n - 342 = 0. Let j be ((-3)/4)/(n/16). Suppose 0 - 2/3*i**2 + j*i = 0. Calculate i.
0, 1
Let z(t) = t**2 + 3*t. Let p(v) = -v**2 - v + 1. Let w be (-2)/3*18*-1. Suppose 5*h - 9 - w = 2*k, 29 = 2*k + 5*h. Let d(i) = k*p(i) + z(i). Factor d(x).
-(x - 2)*(x + 1)
Let m(j) = -20*j**2 + 8*j + 56. Let n be (-2 - 2)*1 + 12. Let k(i) = 13*i**2 - 5*i - 37. Let x(s) = n*k(s) + 5*m(s). Factor x(w).
4*(w - 2)*(w + 2)
Let h(l) be the first derivative of 2*l**7/21 + 2*l**6/15 - l**5/5 - l**4/3 - 20*l + 6. Let m(u) be the first derivative of h(u). Let m(g) = 0. What is g?
-1, 0, 1
Factor 17*h + h**3 - 12*h + 2*h**3 - 2*h**3 - 9*h.
h*(h - 2)*(h + 2)
Let s(c) = 49*c**2 - 30*c + 4. Let i = 8 - 5. Let g(m) = 6*m. Let b(j) = 5*j. Let n(z) = 7*b(z) - 6*g(z). Let o(w) = i*s(w) - 6*n(w). Find t such that o(t) = 0.
2/7
Let x = 57 + -13. Let d be 2 + 4 + x/(-8). Find c, given that 3*c**3 + 2*c**4 + d*c + 1/2*c**5 + 2*c**2 + 0 = 0.
-1, 0
Factor 31*d**2 - 12*d**2 - 37*d - 72 - 16*d**2 - 32*d.
3*(d - 24)*(d + 1)
Let b = -1416 + 5667/4. Factor b*r**2 - 3/4*r + 0.
3*r*(r - 1)/4
Find r such that 1/7*r**2 - 71/7*r - 72/7 = 0.
-1, 72
Let 0*b**4 + 250 + 12*b**4 + 180*b**3 + 1475*b + 180*b**3 + 13*b**4 + 1185*b**2 - 55*b**3 = 0. Calculate b.
-5, -2, -1/5
Let i(x) = x**3 - 4*x**2 - 11*x + 22. Let b be i(7). Let q = b - 92. Let 3/4*v - 3/4*v**2 + q + 3/4*v**4 - 3/4*v**3 = 0. What is v?
-1, 0, 1
Suppose w = 4*p - 47 + 29, 3*w = 3*p - 9. What is h in 3/4*h**w + 3/2 + 9/4*h = 0?
-2, -1
Let q(l) be the first derivative of -5*l**3/3 + 65*l**2/2 - 110*l - 382. Determine o, given that q(o) = 0.
2, 11
Let y(w) be the first derivative of 40 - 324*w - 4/3*w**3 - 36*w**2. Solve y(z) = 0.
-9
Factor 8/3*c - 2/3*c**2 + 10/3.
-2*(c - 5)*(c + 1)/3
Let m = 147 - 142. Suppose -4*r - 4*z - 16 = -r, 0 = m*z + 20. Determine s so that 0*s**2 + 0*s - 1/4*s**4 + r + 1/2*s**3 = 0.
0, 2
Suppose -184*r = -369*r + 925. Let -5/3*m**4 + 0*m + 0*m**3 + 0*m**2 + 0 - 5/6*m**r = 0. Calculate m.
-2, 0
Suppose -280 = -16*u - 4*u. Suppose -2*z - z + 9 = 0. Factor -5*n**4 + 15*n**2 - u*n + 20*n**z - 20*n**3 + 4*n.
-5*n*(n - 1)**2*(n + 2)
Suppose -8 = 3*j + 4*v, -2*j = 2*v - 5 + 9. Let s(w) be the second derivative of -4/75*w**6 + 0*w**2 + 7/30*w**4 - 5*w + 2/15*w**3 + 2/25*w**5 + j. Factor s(a).
-2*a*(a - 2)*(2*a + 1)**2/5
Let c(p) = -p**4 + 3*p**3 - 2*p**2 + 1. Let q(h) = 4*h**4 - 13*h**3 + 4*h + 2. Let r(o) = 3*c(o) + q(o). Factor r(l).
(l - 5)*(l - 1)*(l + 1)**2
Let s = 43011 - 43008. Find r such that 0 + 4*r**s + 6*r**2 + 2/3*r**4 + 8/3*r = 0.
-4, -1, 0
What is s in 2/7*s**3 + 0 - 8/7*s**2 + 6/7*s = 0?
0, 1, 3
Factor -18 - 287*a**4 + 17*a**2 + 288*a**4 - 19*a + 35*a**3 - 16*a**3.
(a - 1)*(a + 1)**2*(a + 18)
Let q(f) = -2*f**2 + 64*f - 582. Let b(h) = 6*h**2 - 190*h + 1748. Let s(u) = 4*b(u) + 14*q(u). Solve s(l) = 0 for l.
17
Suppose 0 = -v + 3*f + 3, 1 = -3*v + 2*f - 3*f. Let o(q) be the second derivative of -1/225*q**6 + 0*q**2 + 0 + 1/75*q**5 + 0*q**4 + v*q**3 - 5*q. Factor o(g).
-2*g**3*(g - 2)/15
What is l in -272/3*l + 2/3*l**2 + 9248/3 = 0?
68
Let f(x) be the first derivative of x**6/21 - 22*x**5/35 + 9*x**4/7 + 4*x**3/21 - 19*x**2/7 + 18*x/7 - 58. Determine k, given that f(k) = 0.
-1, 1, 9
Let m = -309 + 167. Let g = m + 142. Factor 4/7*t**2 + 0*t + g.
4*t**2/7
Let z(m) = m**3 + 2*m**2 - 2*m - 1. Let w be z(-2). Factor 26*y**3 - 11*y**3 - w*y**3 + 4*y + 16*y**2.
4*y*(y + 1)*(3*y + 1)
Factor -2/3*n**5 + 10/3*n**3 + 0 + 0*n + 2/3*n**4 + 2*n**2.
-2*n**2*(n - 3)*(n + 1)**2/3
Let b(m) be the first derivative of -m**6/2 - 17*m**5/5 - 37*m**4/4 - 13*m**3 - 10*m**2 - 4*m - 45. Find f, given that b(f) = 0.
-2, -1, -2/3
Let m be (492/(-26))/(-6) + (-86)/559. Determine h, given that 0 + 5/2*h**2 + 3*h + 1/2*h**m = 0.
-3, -2, 0
Let l(d) be the second derivative of d**9/5040 + d**8/6720 - d**7/840 - d**6/720 + 7*d**4/4 - 33*d. Let i(v) be the third derivative of l(v). Factor i(n).
n*(n - 1)*(n + 1)*(3*n + 1)
Let v(z) be the second derivative of 1/10*z**5 - 1/24*z**4 + 0*z**2 - 1/20*z**6 + 0*z**3 - 14*z + 0. Determine c, given that v(c) = 0.
0, 1/3, 1
Let b(j) be the third derivative of j**8/336 - j**7/105 - j**6/10 + 7*j**5/30 + 11*j**4/24 - 2*j**3 + j**2 + 555*j. What is x in b(x) = 0?
-3, -1, 1, 4
Let r(j) be the second derivative of -j**6/6 - 3*j**5/4 + 5*j**4/4 + 55*j**3/6 + 15*j**2 - 22*j + 3. Factor r(w).
-5*(w - 2)*(w + 1)**2*(w + 3)
Let g(y) be the first derivative of y**4/12 - 2*y**3 - 20*y**2/3 - 772. Factor g(k).
k*(k - 20)*(k + 2)/3
Let l(m) = -2*m**3 + 22*m**2 + 2. Let o be l(11). Suppose 4/5*t + 0*t**o - 2/5*t**4 + 2/5 - 4/5*t**3 = 0. Calculate t.
-1, 1
Suppose 40 = 7*z - 11*z. Let w = z - -15. Factor w - 1 - 3*q - 7*q + 8*q**2 - 2.
2*(q - 1)*(4*q - 1)
Let p = -66 - 14. Let z = p - -562/7. Let 2/7*c**3 - 4/7*c**2 + z*c + 0 = 0. What is c?
0, 1
Let j(k) be the first derivative of -4*k**5/5 + 3*k**4 + 4*k**3/3 - 6*k**2 - 65. Suppose j(s) = 0. What is s?
-1, 0, 1, 3
Suppose 0 = -17*d + 21*d + 4. Let y be (d/3)/(9/(-54)). Factor 2*l**3 + 2/3*l**4 - y*l - 4/3 + 2/3*l**2.
2*(l - 1)*(l + 1)**2*(l + 2)/3
Let z(w) be the third derivative of 7*w**5/30 - 317*w**4/12 + 30*w**3 + 972*w**2. Factor z(d).
2*(d - 45)*(7*d - 2)
Let m(x) be the second derivative of x**8/3360 - x**7/315 + x**6/72 - x**5/30 - 5*x**4/6 - 14*x. Let u(n) be the third derivative of m(n). Factor u(t).
2*(t - 2)*(t - 1)**2
Let i(w) be the first derivative of -w**6/10 + 6*w**5/25 - 2*w**3/5 + 3*w**2/10 - 151. Determine n so that i(n) = 0.
-1, 0, 1
Determine o so that -39*o**2 + 230*o**4 - 232*o**4 + 14*o + 18*o**3 + 9*o**2 = 0.
0, 1, 7
Let z(n) be the second derivative of -n**4/3 + 10*n**3/3 + 48*n**2 + 187*n. Determine f, given that z(f) = 0.
-3, 8
Let o(q) be the third derivative of -1/4*q**3 + 1/40*q**6 + 0*q + 28*q**2 + 9/80*q**5 + 0 - 1/70*q**7 - 1/32*q**4. Suppose o(r) = 0. What is r?
-1, -1/2, 1/2, 2
Suppose 2 = -y + 5. Factor 2*i**y + 13*i - 22*i**2 + 42*i**2 + 3*i**3 + 7*i.
5*i*(i + 2)**2
Let d(q) = 3*q**3 - 2*q**2 - q + 1. Let t(b) = -28*b**3 + 30*b**2 - 24*b - 52. Let f(n) = -10*d(n) - t(n). Factor f(j).
-2*(j - 3)*(j + 1)*(j + 7)
Let n = -6675/4 - -1669. Let a(t) be the second derivative of 0*t**2 + 1/10*t**6 - n*t**4 + 0 + 0*t**5 + 0*t**3 - 9*t. Let a(c) = 0. Calculate c.
-1, 0, 1
Let o(h) be the third derivative of -1/735*h**7 + 8*h**2 - 1/210*h**6 + 0 + 0*h**5 + 0*h**4 + 0*h**3 + 0*h. Factor o(u).
-2*u**3*(u + 2)/7
Factor 0*c - 2*c**2 + 1/4*c**3 + 0.
c**2*(c - 8)/4
Let b(c) be the third derivative of -c**5/20 - c**4/4 - 2*c**2 + 98*c. Find u such that b(u) = 0.
-2, 0
Suppose -k - 3*l = -2*k + 3, -5*l = -5*k + 25. Suppose -k = -4*s + 2. Solve -3/4*f**s + 1/4*f**4 - 1/4*f + 1/2 + 1/4*f**3 = 0.
-2, -1, 1
Let b(t) be the first derivative of -t**6/30 - 7*t**5/300 + 11*t**4/120 - t**3/15 - 7*t**2/2 + 19. Let v(g) be the second derivative of b(g). Solve v(i) = 0.
-1, 1/4, 2/5
Let j(k) be the first derivative of 1/30*k**5 + 1/8*k**4 + 1/12*k**2 + 12 + 1/6*k**3 + 0*k. Factor j(q).
q*(q + 1)**3/6
Suppose -20*i + 88*i = -78*i. Factor -2/5*l - 8/5*l**2 - 12/5*l**3 + i - 8/5*l**4 - 2/5*l**5.
-2*l*(l + 1)**4/5
Suppose -3*m = 4*h - 10, -4*m + 5*h + 3 = -0*m. Let j(s) be the third derivative of 0*s**5 + 0*s - 4/3*s**3 + 0 - 1/2*s**4 + 1/30*s**6 + 5*s**m. Factor j(b).
4*(b - 2)*(b + 1)**2
Let u(a) = -a**3 - 3*a**2 - 2*a - 4. Let t be u(-3). Let j(y) = -y**2 + 5*y - 4. Let z be j(t). Factor z + 4 - 6 - 4*l**3 + 2*l + 2*l**5.
2*l*(l - 1)**2*(l + 1)**2
Let y(q) = -12*q**5 + 6*q**4 + 12*q**3 - 22*q**2 + 16*q + 14. Let g(r) = r**5 - r**4 + r**2 - r - 1. Let j(o) = 28*g(o) + 2*y(o). Factor j(u).
4*u*(u - 1)**4
Let h be -3 + -3 + -5 + 7 - -4. Let x(k) be the third derivative of 0 + 1/100*k**6 + 0*k**3 + h*k + 1/60*k**4 - 4*k**2 + 2/75*k**5. Factor x(z).
2*z*(z + 1)*(3*z + 1)/5
Let a(z) be the first derivative of z**6/12 + z**5/10 - 3*z**4/2 + 2*z**3/3 + 4*z**2 + 339. Factor a(r).
r*(r - 2)**2*(r + 1)*(r + 4)/2
Let r = -1178 + 8254/7. Determine x, given that 8/7*x - 6/7*x**2 + 8/7 - 2/7*x**4 - r*x**3 = 0.
-2, -1, 1
Let q(k) = k**2 + 5*k + 3. Let d be q(-5). Suppose 0*b - d*b = 0. Let 2*v**3 + b*v**5 - v**5 + 0*v - v = 0. Calculate v