0/13*y = 0. What is y?
-5
Let f(j) be the first derivative of -j**4/4 - j**3/3 - j - 13. Let z(h) = h**4 - 2*h**3 - 7*h**2 - 4. Let w(y) = -4*f(y) + z(y). Factor w(i).
i**2*(i - 1)*(i + 3)
Let h be 6 + 268/(-42) - (-2)/3. Factor 18/7*o**2 - h*o**3 - 50/7 - 30/7*o.
-2*(o - 5)**2*(o + 1)/7
Let a = 15 - 8. Let n = -6 + a. Factor y**2 - 12*y - 3*y**2 - 17 - n.
-2*(y + 3)**2
Let z be 11/(-11) - (13 - 3)/(-2) - 1. Determine a, given that 0*a**z - a + 0 + 1/2*a**4 - 3/2*a**2 = 0.
-1, 0, 2
Let k = -4 + 26. Let y = k - 18. Find n, given that 2*n**2 - 6*n**y + 0*n**4 + 4*n**4 = 0.
-1, 0, 1
Let -13*b**2 + 12*b**4 - 16*b + 15*b - 19*b**3 + 7*b**5 - 3*b**4 + 4 + 13*b = 0. Calculate b.
-2, -1, -2/7, 1
Let h = 525 + -522. Let t(i) be the second derivative of 27*i**2 + 7*i + 1/10*i**5 + 9*i**h + 3/2*i**4 + 0. Determine c, given that t(c) = 0.
-3
Let o(i) be the first derivative of -i**7/30 - i**6/60 + 3*i**5/20 - i**4/6 + 26*i**3/3 + 13. Let s(z) be the third derivative of o(z). Factor s(f).
-2*(f + 1)*(2*f - 1)*(7*f - 2)
Let x = 6361 - 82691/13. Suppose x*t**2 + 8/13 + 8/13*t = 0. Calculate t.
-2
Let z(g) be the third derivative of g**8/1848 - g**7/105 + 17*g**6/330 - 23*g**5/165 + 29*g**4/132 - 7*g**3/33 - g**2 + 18. Factor z(w).
2*(w - 7)*(w - 1)**4/11
Let z(f) = f**3 - f. Let q(n) = -9*n**3 - 188*n**2 - 2295*n - 2116. Let o(d) = q(d) + 5*z(d). Suppose o(p) = 0. Calculate p.
-23, -1
Suppose 8125*c - 45*c**4 - 6185*c**2 - 1690 + 1335*c - 425*c - 1115*c**3 = 0. What is c?
-13, 2/9, 1
Let t(z) be the second derivative of -1/357*z**7 + 0 + z + 0*z**3 - 3/170*z**5 - 1/102*z**4 + 0*z**2 - 1/85*z**6. Factor t(y).
-2*y**2*(y + 1)**3/17
Let w = 2606 + -2604. Factor 12/5*b + 12/5*b**w - 9/5*b**3 + 0 - 6/5*b**4 + 3/5*b**5.
3*b*(b - 2)**2*(b + 1)**2/5
Let -19556*n + 2928*n**2 - 158714*n + 0*n**3 - 239693*n - 4*n**3 - 296469*n + 58107136 = 0. Calculate n.
244
Suppose -2 = -4*f + 2*c, -5*c + 8 + 7 = 0. Factor 4*l**2 - 4*l + 8*l + 6*l**3 - 14*l**f.
2*l*(l - 1)*(3*l - 2)
Let u be -3*((-18)/45 - 2/20). What is b in u*b + 1/2*b**3 - 2*b**2 + 0 = 0?
0, 1, 3
Let t(o) = o**2 - 13*o + 16. Let f = 0 + 12. Let j be t(f). Factor -1/2*s**j + s**2 - 1/2 + 1/2*s**5 - s**3 + 1/2*s.
(s - 1)**3*(s + 1)**2/2
Let v be 62/22 - 10/(-55). Suppose v*t - 5*u = 6, -t + 6*t - 10 = 2*u. Factor t*i + 4*i**2 + i - 3*i**2.
i*(i + 3)
Let z(v) = 2*v**3 - 2*v**2 - 2*v. Let m(c) = -c**3 + 6*c**2 - 9*c - 2. Let l(n) = -2*m(n) + 6*z(n). Factor l(d).
2*(d - 1)**2*(7*d + 2)
Suppose -4*f + 30 - 18 = 0. Let l(s) be the second derivative of -s**f - 2*s**2 - 1/6*s**4 + 4*s + 0. Factor l(k).
-2*(k + 1)*(k + 2)
Let c = 6476/5 - 1291. Find r such that -3/5*r**5 - c*r**2 - 3*r**4 - 27/5*r**3 - 6/5*r + 0 = 0.
-2, -1, 0
Let o(d) be the second derivative of -d**4/36 + 5*d**3/18 - 2*d**2/3 + 10*d + 3. Find l such that o(l) = 0.
1, 4
Factor 67/3*s + 1/6*s**2 + 4489/6.
(s + 67)**2/6
Suppose g = -5*t + 11 + 3, 58 = 2*g + 4*t. Let 58*d**2 - g*d**2 + 21*d**2 + 41*d**2 + 64 - 144*d = 0. What is d?
8/9
Let a(r) be the third derivative of r**6/120 + r**5/60 - 5*r**4/24 + r**3/2 + 4*r**2 + 2. Factor a(d).
(d - 1)**2*(d + 3)
Suppose -4*k - 37 + 5 = -4*i, 4 = 3*i + k. Let m(p) be the second derivative of -1/72*p**4 + 0 - 9*p - 1/36*p**i + 0*p**2. Determine r so that m(r) = 0.
-1, 0
Let w = -46 - -50. Suppose y = 3*y - w. Factor -3/5*x + 3/5*x**y - 6/5.
3*(x - 2)*(x + 1)/5
Let u(z) = 2*z**2 + z + 3. Let w(i) = 6*i**2 - 2*i + 12. Let k(t) = 4*u(t) - w(t). Determine f, given that k(f) = 0.
-3, 0
Let k(h) be the third derivative of h**5/15 - h**4 - 32*h**3/3 + 81*h**2. Suppose k(z) = 0. What is z?
-2, 8
Let g(i) be the second derivative of 4*i**2 - 6*i**3 + 20*i + 0 + 7/3*i**4. Determine v, given that g(v) = 0.
2/7, 1
Let q = -5 + -20. Let a be (-30)/q*15/6. Factor 6*t**4 + 3*t**2 - 5*t**3 + 3*t**3 + a*t**4 + 11*t**3 + 3*t**5.
3*t**2*(t + 1)**3
Let g(m) be the third derivative of -m**7/42 - m**6/24 + m**5/12 + 5*m**4/24 - 24*m**2. Solve g(j) = 0 for j.
-1, 0, 1
Let i(h) be the first derivative of -h**6/15 + 12*h**5/25 - 6*h**4/5 + 16*h**3/15 + 14. Factor i(s).
-2*s**2*(s - 2)**3/5
Let g(p) = 7*p**3 - 13*p - 5. Let u(n) = 8*n**3 - 14*n - 6. Let h(i) = 6*g(i) - 5*u(i). Let h(x) = 0. Calculate x.
-2, 0, 2
Suppose 5*i + 3*r - 62 = 0, -2*r = 2*i + 18 - 46. Factor -2/5*b**4 + 0*b + 4*b**3 - i*b**2 + 0.
-2*b**2*(b - 5)**2/5
Let o(q) be the third derivative of -q**6/480 - 3*q**5/80 - q**4/16 + 7*q**3/3 - 430*q**2. Factor o(z).
-(z - 2)*(z + 4)*(z + 7)/4
Let k(t) be the second derivative of 0*t**2 - 14*t + 0 + 1/30*t**4 + 1/5*t**3. Factor k(g).
2*g*(g + 3)/5
Let h(f) = -3*f**4 - 96*f**3 - 760*f**2 + 24*f. Let j(s) = s**4 + 32*s**3 + 253*s**2 - 9*s. Let g(x) = 3*h(x) + 8*j(x). Factor g(t).
-t**2*(t + 16)**2
Let j = 10 - 24. Let d(o) = -5*o + 6. Let u be d(j). Factor -71*w**2 - 15*w + 5*w**3 + u*w**2 + 5*w.
5*w*(w - 1)*(w + 2)
Let z be 9 + 1 - (-885)/585*-6. Factor -14/13 + 2/13*g**2 + z*g.
2*(g - 1)*(g + 7)/13
Let d(k) be the third derivative of k**8/1680 - 4*k**7/525 + k**6/40 + 2*k**5/75 - 2*k**4/15 + 2*k**2 - 14. Factor d(b).
b*(b - 4)**2*(b - 1)*(b + 1)/5
Let 920/7*i**2 - 600/7*i + 0 - 2/7*i**5 - 366/7*i**3 + 48/7*i**4 = 0. What is i?
0, 1, 3, 10
Let g(p) be the third derivative of p**6/360 - p**4/6 + 8*p**3/9 + 34*p**2. What is u in g(u) = 0?
-4, 2
Let s be ((-1)/((-1)/(-1)))/(2/132). Let t = s - -68. What is z in -14/9*z - 4/9 - 10/9*z**t = 0?
-1, -2/5
Let v(g) be the first derivative of -g**3/12 + 93*g**2/8 + 38. Determine z, given that v(z) = 0.
0, 93
Factor -44*d**4 - 8*d**5 - 56*d - 104*d**2 - 96*d**3 - 35 + 31 - 8.
-4*(d + 1)**4*(2*d + 3)
Let r = 53 + -49. Suppose -r*j + 6*j - 15 = -5*o, -6 = 3*j - 2*o. Factor -2/7*a**3 - 2/7*a**2 + j + 0*a.
-2*a**2*(a + 1)/7
Let r(y) = -y**3 + 12*y**2 - 10*y + 2. Let s be r(11). Suppose -s*b + 4 = -11*b. Find m, given that 0 - 66/5*m**4 + 4/5*m + 12/5*m**b - 7*m**5 - 23/5*m**3 = 0.
-1, -2/7, 0, 2/5
Let l(k) be the third derivative of -k**7/1260 + k**6/90 + k**5/40 - 29*k**2 - 3*k. Factor l(n).
-n**2*(n - 9)*(n + 1)/6
Factor 17*i - 37*i + i**2 + 13*i + 31*i - 52.
(i - 2)*(i + 26)
Suppose 4*x + 106 = g, 0 = 5*x - 10*x - 2*g - 139. Let j be 10/45 + (-237)/x. Determine f so that -44*f + 3*f**5 - j*f**3 + 6*f**2 + 44*f = 0.
-2, 0, 1
Let k(z) be the first derivative of 1/20*z**5 + 0*z + 0*z**2 + 0*z**3 + 0*z**4 - 1/24*z**6 + 31. Determine c so that k(c) = 0.
0, 1
Let c(y) be the first derivative of -y**7/315 + 17*y**6/180 - 7*y**5/10 - 9*y**4/4 - 6*y**2 - 39. Let w(j) be the second derivative of c(j). Factor w(a).
-2*a*(a - 9)**2*(a + 1)/3
Let s(u) be the third derivative of 1/2*u**3 + 11*u**2 - 1/120*u**6 + 0*u - 1/20*u**5 + 0 + 1/24*u**4. What is z in s(z) = 0?
-3, -1, 1
Let x be ((-3)/15)/((-2)/30 + 0). Factor 6/13*b + 2/13*b**x + 2/13 + 6/13*b**2.
2*(b + 1)**3/13
Let s be (-10)/4*16/(-10). Suppose 3*n = -s*n + 14. Factor 0*f + 0*f**n - 2/3*f**5 + 0*f**4 + 0 + 2/3*f**3.
-2*f**3*(f - 1)*(f + 1)/3
Let o(r) be the first derivative of r**6/60 + r**5/20 - r**3/6 - r**2 + 8. Let f(y) be the second derivative of o(y). Find q such that f(q) = 0.
-1, 1/2
Let l = -2210 + 6640/3. Let l*w**2 - 8/3*w - 4/3*w**3 + 2/3 = 0. Calculate w.
1/2, 1
Let z be (-1)/(-3) + (-71)/213. Let t(r) be the first derivative of -1/3*r**2 + z*r**3 - 2 + 4/9*r + 1/18*r**4. Factor t(h).
2*(h - 1)**2*(h + 2)/9
Factor -33/7*b - 6/7*b**2 + 3/7*b**5 + 3*b**4 + 30/7*b**3 - 15/7.
3*(b - 1)*(b + 1)**3*(b + 5)/7
Let -2/5*y**3 - 18/5 - 6*y - 14/5*y**2 = 0. Calculate y.
-3, -1
Let c(z) be the third derivative of 1/448*z**8 + 7/480*z**5 + 1/64*z**4 - 1/336*z**7 - 3/320*z**6 + 0 - 1/24*z**3 - 5*z**2 + 0*z. Find r, given that c(r) = 0.
-1, -2/3, 1/2, 1
Let h be 12*(-1)/(-1 - 3). Suppose -a + 10 = -h. Let -8*b**3 - a*b**3 - 6 + 12*b**2 + 24*b**2 - 9*b = 0. Calculate b.
-2/7, 1
Let o be (-4)/(-3) + 36/54. Suppose 3*t - 31 = -5*j, o*t + 4*j = -0*t + 24. Find g such that 2/5 - 4/5*g**t + 0*g**3 + 2/5*g**4 + 0*g = 0.
-1, 1
Let u(m) = m**3 + 46*m**2 - 95*m + 52. Let j be u(-48). Let z be (-4)/14*14/(-6). Solve 0 + 4/15*v + 8/15*v**3 + 2/15*v**j + z*v**2 = 0.
-2, -1, 0
Let f(t) = t**5 + t**4 + t**3 + 7*t**2 + t + 1. Let m(k) = k**5 + 6*k**2 + k. Let a = 39 + -42. Let z(b) = a*m(b) + 2*f(b). Solve z(o) = 0.
-1, 1, 2
Suppose 0 = -4*z + 2*b + 112, -z + 2