 Let y be (-1 + 9/(-6))*x/30. Suppose 5/2*z - 1 + 3/2*z**y = 0. Calculate z.
-2, 1/3
Let -4/5*r**4 - 48/5*r + 76/5*r**2 + 0 + 2/5*r**5 - 26/5*r**3 = 0. Calculate r.
-4, 0, 1, 2, 3
Let i(z) = -2*z**3 + z**2 - z. Let a(s) = -11*s**3 + 17*s**2 + 4*s. Let w(l) = -a(l) + 6*i(l). Solve w(g) = 0 for g.
-10, -1, 0
Let o = -109/96 + 7/6. Let m(q) be the first derivative of -1/40*q**5 + 0*q + 0*q**2 - o*q**4 + 3 + 1/12*q**3. Factor m(g).
-g**2*(g - 1)*(g + 2)/8
Let g = 35581/30 - 1186. Let s(z) be the third derivative of -1/25*z**5 + 0*z**3 + 1/120*z**6 + 7*z**2 + 0*z + g*z**4 + 0. Determine r so that s(r) = 0.
0, 2/5, 2
Let j(o) = 2 + 0*o**3 - 6*o**3 + 10*o**3 - o**2. Let u(z) = 4*z**3 + 2. Let b(m) = -6*j(m) + 5*u(m). Find n such that b(n) = 0.
-1/2, 1
Let f = -7/6 - -23/18. Let h(b) be the second derivative of 1/60*b**5 + 0 + 5/18*b**3 - 1/3*b**2 + 3*b - f*b**4. Factor h(j).
(j - 2)*(j - 1)**2/3
Suppose 9*n - 454 = 455. Let d = -302/3 + n. Determine i so that -i**4 + 7/3*i**2 + 0*i - d*i**3 - 4/3 + 1/3*i**5 = 0.
-1, 1, 2
Suppose 13*a - 70 = -5. Suppose 3*j + 4*z = -10, -a*j + 2*z + 2 + 16 = 0. Let -12/5 + 3*q - 3/5*q**j = 0. Calculate q.
1, 4
Let s(l) = -6*l**2 + 95*l - 56. Let g(f) = 3*f**2 - 47*f + 28. Let z(o) = 7*g(o) + 3*s(o). Find h such that z(h) = 0.
2/3, 14
Let h(r) be the second derivative of 8*r**7/147 - 2*r**6/105 - 12*r**5/35 + 11*r**4/21 - 4*r**3/21 - 91*r. Let h(k) = 0. Calculate k.
-2, 0, 1/4, 1
Let b(t) = 3*t**4 - 6*t**2 - 18*t - 9. Let m(s) = 6 + 6*s - s**3 + 2 + 11*s + 53*s**4 + 7*s**2 - 56*s**4. Let q(d) = -2*b(d) - 3*m(d). Let q(z) = 0. What is z?
-1, 2
Let l(z) be the third derivative of -z**5/60 - z**4/4 - 5*z**3/6 - 2*z**2 + 2*z. Find w such that l(w) = 0.
-5, -1
Let j(w) be the second derivative of -w**9/37800 + w**7/3150 - w**5/300 - 13*w**4/12 - 34*w. Let m(h) be the third derivative of j(h). What is b in m(b) = 0?
-1, 1
Suppose -5*x + 5*z = -35, -z + 0*z = 5*x - 29. Factor 36*w**3 + 32*w + x - 15 - 152*w**2 + 9.
4*w*(w - 4)*(9*w - 2)
Let z(o) be the second derivative of -17*o**6/480 + o**5/120 - 3*o**2/2 + 11*o. Let d(h) be the first derivative of z(h). Factor d(f).
-f**2*(17*f - 2)/4
Let c(j) be the third derivative of -j**7/1470 - 192*j**2. Let c(v) = 0. Calculate v.
0
Let k(x) be the third derivative of -x**6/210 - 11*x**5/105 - 17*x**4/21 - 16*x**3/7 - 378*x**2. Determine b, given that k(b) = 0.
-6, -4, -1
Let t = 533/18 - 154/9. Determine r, given that -5 + 15*r**2 - 25*r**4 + t*r - 55/2*r**3 = 0.
-1, 2/5, 1/2
Suppose -x + 4*h = -2*x, -4*x - 3*h = 26. Let n be (-2 - (-3 + x)) + -3. Factor w + 4*w - n*w**2 - 7*w.
-2*w*(3*w + 1)
Let c(o) = 8*o**3 + 14*o**2 + 11*o + 5. Let s be (14 - 5)*1*(0 - 1). Let u(v) = -15*v**3 - 27*v**2 - 21*v - 9. Let z(x) = s*c(x) - 5*u(x). Factor z(b).
3*b*(b + 1)*(b + 2)
Suppose j - 15 = -2*j. Factor 12*x**2 + 7*x - 3*x**2 - j*x**2 + 8 + 5*x.
4*(x + 1)*(x + 2)
Factor 15/2*v**2 + 5*v**3 - 10 - 10/3*v + 5/6*v**4.
5*(v - 1)*(v + 2)**2*(v + 3)/6
Let s(c) be the third derivative of 0*c + 1/6*c**5 - 5/8*c**4 - 5/3*c**3 + 1/6*c**6 + 0*c**7 + 14*c**2 + 0 - 5/336*c**8. Determine b, given that s(b) = 0.
-1, 1, 2
Solve 0 - 4096/7*n**2 - 8192/7*n - 768/7*n**3 - 2/7*n**5 - 64/7*n**4 = 0.
-8, 0
Factor 0 - 2/7*j**2 - 12/7*j.
-2*j*(j + 6)/7
Let g be 1*(-4)/8*0/(-3). Suppose r - 7*l + 9*l = 10, 0 = r + 4*l - 18. Solve g + h + 1/2*h**r = 0.
-2, 0
Find w, given that 0 - 2/15*w - 2/15*w**4 - 2/5*w**3 - 2/5*w**2 = 0.
-1, 0
Let -294*q**3 - 307*q**3 + 56*q + 509*q**3 - 20 + 77*q**2 - 21*q**4 = 0. What is q?
-5, -2/3, 2/7, 1
Let g(d) be the first derivative of 98*d**5/25 + 84*d**4/5 - 464*d**3/5 + 352*d**2/5 - 96*d/5 - 324. Find m, given that g(m) = 0.
-6, 2/7, 2
Suppose 8*t = 5*t - 15. Let o(m) = -4*m**2 - 44*m. Let i(k) = 71 - 71 + 3*k**2 + 29*k. Let w(y) = t*o(y) - 8*i(y). Factor w(q).
-4*q*(q + 3)
Let h be (-20)/(-35) - 8/14. Factor -33*o**2 - o**5 + 2*o**4 + h*o**5 + 31*o**2 + o**3.
-o**2*(o - 2)*(o - 1)*(o + 1)
Let s(f) be the first derivative of 0*f**5 - 1/12*f**4 - 5 + 0*f**2 + 0*f - 3*f**3 + 1/180*f**6. Let r(i) be the third derivative of s(i). Factor r(l).
2*(l - 1)*(l + 1)
Let a be 140/65 + -2 + (-96)/(-52). Solve 5*s**4 - 3*s**5 + 26*s**a + 3*s**3 - 17*s**2 - 14*s**4 = 0 for s.
-3, -1, 0, 1
Let j(l) be the third derivative of l**7/210 + 11*l**6/60 + 39*l**5/20 - 11*l**4/3 - 242*l**3/3 + 147*l**2. Factor j(a).
(a - 2)*(a + 2)*(a + 11)**2
Suppose -102/5*h**2 - 16*h**3 - 4*h - 14/5*h**4 + 16/5 = 0. What is h?
-4, -1, 2/7
Let n(w) be the first derivative of -6 + 1/3*w**4 + 7/9*w**3 + 1/2*w**2 + 0*w. Factor n(k).
k*(k + 1)*(4*k + 3)/3
Suppose 0 = -5*w + 5*d + 25, d - 4 = 4*w + 5*d. Let x = -39 + 39. Determine j, given that -4/11*j + 6/11*j**w + x - 2/11*j**4 + 0*j**3 = 0.
-2, 0, 1
Let i(s) be the first derivative of -3*s**4/4 + 5*s**3 - 21*s**2/2 + 9*s + 616. Factor i(n).
-3*(n - 3)*(n - 1)**2
Find o, given that 0 + 0*o**4 + 0*o**2 + 1/8*o**5 - 1/8*o**3 + 0*o = 0.
-1, 0, 1
Let v(f) = -5*f**4 - 9*f**3 + 10*f**2 + 6*f - 5. Let i(r) = -6*r**4 - 8*r**3 + 10*r**2 + 6*r - 4. Let t(w) = -6*i(w) + 4*v(w). Factor t(h).
4*(h - 1)*(h + 1)**2*(4*h - 1)
Factor -218*m**2 - 214*m**2 - 6 + 399*m**2 - 69*m.
-3*(m + 2)*(11*m + 1)
Let l(p) be the second derivative of -p**6/480 + p**5/160 + p**4/16 - 2*p**3 + 17*p. Let x(k) be the second derivative of l(k). Suppose x(o) = 0. What is o?
-1, 2
Let a(v) be the first derivative of v**6/120 + v**5/20 + 39*v + 15. Let i(q) be the first derivative of a(q). Factor i(o).
o**3*(o + 4)/4
Solve -2/7*m**2 - 32/7*m - 128/7 = 0 for m.
-8
Suppose 13*a = -44581 + 44607. Solve 18/7*k**3 + 102/7*k**a + 0 - 36/7*k = 0 for k.
-6, 0, 1/3
Let p(s) be the first derivative of 22*s**3/3 + 20*s**2 + 139. Find t, given that p(t) = 0.
-20/11, 0
Let y(g) be the second derivative of -g**7/231 + 7*g**6/33 - 43*g**5/11 + 95*g**4/3 - 275*g**3/3 + 121*g**2 - 95*g. Factor y(i).
-2*(i - 11)**3*(i - 1)**2/11
Let r(w) be the first derivative of -w**9/19656 + w**8/10920 + w**7/5460 - w**6/2340 + 4*w**3/3 - 10. Let n(o) be the third derivative of r(o). Factor n(a).
-2*a**2*(a - 1)**2*(a + 1)/13
Let l(j) be the first derivative of 2*j**5/25 - 17*j**4/5 + 506*j**3/15 + 612*j**2/5 + 648*j/5 + 703. Find y such that l(y) = 0.
-1, 18
Factor -12/5*h**3 - 49/5 - 22/5*h**2 - 1/5*h**4 + 84/5*h.
-(h - 1)**2*(h + 7)**2/5
Suppose -90/7*j**4 + 152/7*j**3 + 352/7*j**2 + 192/7*j + 32/7 - 50/7*j**5 = 0. Calculate j.
-2, -1, -2/5, 2
Let f be 9 + (-1)/((-4)/(-20)). Let y(u) be the first derivative of 27*u**f + 52/3*u**3 + 14/3*u**6 + 0*u + 92/5*u**5 + 4*u**2 - 1. Solve y(j) = 0 for j.
-1, -2/7, 0
Find d such that -246*d**2 + 120*d**4 - 650*d**2 - 192*d - 7*d**4 + 107*d**4 + 64 + 48*d**3 = 0.
-2, -2/5, 2/11, 2
Let s = 28814/10803 + -2/3601. Factor 10/3 - s*b - 2/3*b**2.
-2*(b - 1)*(b + 5)/3
Let h be (79 + -79)/(-1*2). Let o(j) be the second derivative of 0*j**4 + h*j**6 + 0 + 0*j**2 + 1/40*j**5 + 0*j**3 - 1/84*j**7 - 5*j. Solve o(n) = 0.
-1, 0, 1
Let t(r) = -r**3 + 174*r**2. Let k(x) = 2*x**3 - 262*x**2. Let o(a) = 5*k(a) + 8*t(a). Solve o(i) = 0 for i.
-41, 0
Let p(b) be the second derivative of 5*b**8/336 + 2*b**7/21 - 5*b**6/24 - 4*b**2 + 21*b. Let t(n) be the first derivative of p(n). Factor t(d).
5*d**3*(d - 1)*(d + 5)
Suppose -h + 0*h = -4. Let m = h + -2. Factor -17*a**4 + 0*a**3 + 19*a**4 + m*a**3.
2*a**3*(a + 1)
Let b be (1/(-3)*10)/((-4)/6). Factor 3 + 3*j**2 - b*j**3 - j + 15*j**2 - 11*j + 3*j**4 - 7*j**3.
3*(j - 1)**4
Suppose -6*u + 2*u = -44. Let d(n) = -24 + 10 + 12. Let a(y) = y**2 + y + 11. Let s(f) = u*d(f) + 2*a(f). Suppose s(g) = 0. What is g?
-1, 0
Let x(a) = -a**3 + 3*a**2 - 3*a + 4. Let p be x(2). Let o be 9/p*2/3. Factor -2*g**3 - 9*g**4 + 8*g**4 - 4*g**2 + o*g**4.
2*g**2*(g - 2)*(g + 1)
Let s(c) = 5*c**3 - 10*c**2 - 9*c + 3. Let m(x) = 3*x**3 - 9*x**2 - 8*x + 2. Let h(t) = -3*m(t) + 2*s(t). Solve h(b) = 0.
-6, -1, 0
Let a be -138 + -7*-1*(-6)/(-14). Let m be (-4)/6 - 9/(a/20). Suppose -2/3*x + m*x**2 - 4/3 = 0. Calculate x.
-1, 2
Let t(o) be the second derivative of -o**7/35 + 4*o**6/15 - 18*o**5/25 - o**4/15 + 13*o**3/5 - 18*o**2/5 + 334*o. Determine u so that t(u) = 0.
-1, 2/3, 1, 3
Let w = 15128/4445 - -16/635. Suppose 0*s + 6/7*s**3 + 0 + w*s**2 = 0. Calculate s.
-4, 0
Suppose 2*b - 5*b - 17 = -t, 4*t + 12 