ven that 8/5*y**3 + 0 + 2*y**2 + l*y**4 + 4/5*y = 0.
-2, -1, 0
What is t in 16245 + 1/5*t**2 + 114*t = 0?
-285
Let g(s) be the third derivative of -26*s**2 + 0*s + 1/108*s**6 + 1/30*s**5 + 2/27*s**3 + 7/108*s**4 + 1/945*s**7 + 0. What is o in g(o) = 0?
-2, -1
Let k = -1045/236 - -276/59. Factor 1/2*n**2 - 1/4*n**3 + 0 - k*n.
-n*(n - 1)**2/4
Let v(z) = -3*z + 1. Let h(x) = -2*x**2 - 30*x - 24. Let b(s) = h(s) - 4*v(s). Suppose b(t) = 0. Calculate t.
-7, -2
Let u(w) be the second derivative of w**4/3 - 80*w**3/3 - 82*w**2 + 14*w - 2. Factor u(o).
4*(o - 41)*(o + 1)
Find w such that 76/11*w**2 - 2/11*w**5 + 4*w**3 + 6/11*w**4 + 54/11*w + 14/11 = 0.
-1, 7
Let v = 4/45 + 26/45. Suppose 0 = -2*n + 11*n - 6*n. Factor v*f + n*f**2 + 0 - 2/3*f**3.
-2*f*(f - 1)*(f + 1)/3
Suppose -9*i + 12*i - 300 = 0. Let h = 102 - i. Solve 3*l + 0 + 3/4*l**3 - 3*l**h = 0 for l.
0, 2
Let l(u) be the first derivative of u**5/70 + u**4/14 + 2*u**3/21 + 15*u + 7. Let k(p) be the first derivative of l(p). Factor k(n).
2*n*(n + 1)*(n + 2)/7
Let m(x) be the first derivative of 14 + 3/4*x**4 - 375*x - 15*x**3 + 225/2*x**2. Find c, given that m(c) = 0.
5
Let h(u) = 18*u - u**2 + 9*u - 26*u. Let l(w) = 12*w**3 - 25*w**2 + 11*w - 5. Let a(x) = 3*h(x) - l(x). Let p(i) be the first derivative of a(i). Factor p(r).
-4*(r - 1)*(9*r - 2)
Let h(m) be the first derivative of -4*m**3/15 + 66*m**2 - 656*m/5 - 126. Let h(g) = 0. Calculate g.
1, 164
Let p(w) be the second derivative of 0 + 11/30*w**3 - 39*w - 1/60*w**4 + 0*w**2. Factor p(i).
-i*(i - 11)/5
Let m(b) be the second derivative of -b**8/11760 + b**6/1260 + 3*b**4/2 + 14*b. Let w(p) be the third derivative of m(p). Factor w(s).
-4*s*(s - 1)*(s + 1)/7
Let r(l) = -6*l**2 - 2*l + 3. Let a(g) = 7*g**2 + 3*g - 4. Let k be -4 + -1 - (-176)/16. Let h(y) = k*r(y) + 5*a(y). Determine t so that h(t) = 0.
1, 2
Suppose -60 - 104 = -4*j. Let z = 69 - j. Find s, given that -10*s**2 + z*s + 21 - 5*s**2 - s**2 - 13 = 0.
-1/4, 2
Suppose 0 = -2*n - 5*v + 9, -4*n - v = 3*v - 12. Factor 5*r + r + 39*r**2 - 36*r**n.
3*r*(r + 2)
Let 4*s**5 + 4*s**3 + 28*s**4 - 39*s**2 - 11*s**3 - 56*s - 5*s**3 - 53*s**2 = 0. Calculate s.
-7, -1, 0, 2
Let n be (0 + 0)/(-6 + (9 - 1)). Let q(f) be the first derivative of -1/20*f**5 + 0*f - 1/16*f**4 + n*f**2 + 0*f**3 - 3. Let q(c) = 0. Calculate c.
-1, 0
Let n = 19 - 16. Suppose 8 = 4*s - 3*z, -27 = -5*s - n*z + 10. Factor k**s + 4*k**5 + 3*k**4 + k**5 - 3*k**5.
3*k**4*(k + 1)
Let d(a) be the third derivative of 0*a - 2/27*a**3 + 0 + 1/270*a**5 - 23*a**2 - 1/108*a**4. Determine i, given that d(i) = 0.
-1, 2
Suppose 285*s = 256*s. Factor 1/3*q**5 + s - 4*q**2 + q**4 - 8/3*q - 2/3*q**3.
q*(q - 2)*(q + 1)*(q + 2)**2/3
What is y in -2/5*y**4 + 0 + 24/5*y**3 + 0*y - 72/5*y**2 = 0?
0, 6
Suppose -15/4*s**3 + 0*s + 0 + 0*s**2 - 1/4*s**4 = 0. What is s?
-15, 0
Let d be (1/4)/((50/(-480))/(-5)). Factor -3/4*r**2 - d + 6*r.
-3*(r - 4)**2/4
Let m(z) = 609 + z - 609. Let x(a) = -a**2 - 4*a + 3. Let n(k) = 2*m(k) + x(k). Let n(i) = 0. Calculate i.
-3, 1
Let t(p) be the second derivative of p**9/7560 - p**8/1120 - p**7/315 - 5*p**4/12 - 3*p - 6. Let j(k) be the third derivative of t(k). Factor j(i).
2*i**2*(i - 4)*(i + 1)
Let u(h) = 7*h**2 - 8. Let g(x) = 1 + 3 - 3*x**2 + 0*x**2. Let f(s) = -10*g(s) - 4*u(s). Factor f(w).
2*(w - 2)*(w + 2)
Solve 1/5*l**5 + 529/5*l - 44/5*l**4 + 0 + 438/5*l**3 + 1012/5*l**2 = 0.
-1, 0, 23
Let a = -19 - -23. Let u(i) = 5*i**4 - 5*i**3 - 14*i**2 + 4*i - 4. Let c(f) = 5*f**4 - 5*f**3 - 15*f**2 + 5*f - 5. Let s(n) = a*c(n) - 5*u(n). Factor s(g).
-5*g**2*(g - 2)*(g + 1)
Let w = -11 - -11. Suppose 3*j - 3 + 0 = w. Find u, given that -12 - 14 - 8*u - j - 10*u - 3*u**2 = 0.
-3
Suppose f + 4*h - 2 = h, -3*h + 10 = 5*f. Let 0*m - 2/11*m**4 + 0 + 4/11*m**3 + 0*m**f = 0. Calculate m.
0, 2
Let u(z) be the third derivative of -4/3*z**3 - 7*z**2 + 0 - 1/48*z**4 - 1/1440*z**6 + 1/160*z**5 + 0*z. Let v(h) be the first derivative of u(h). Factor v(d).
-(d - 2)*(d - 1)/4
Let u(d) be the first derivative of d**3/15 - 14*d**2/5 + 196*d/5 - 14. Solve u(t) = 0 for t.
14
Factor -8 + 1/6*o**2 + 4/3*o.
(o - 4)*(o + 12)/6
Let w(t) = -t**3 - 6*t**2 - 4*t + 5. Let z be w(-5). Suppose 142 = 94*r - 46. Factor z*o**3 + 2/3 + 2/3*o**4 + 0*o - 4/3*o**r.
2*(o - 1)**2*(o + 1)**2/3
Determine j so that -17/3 - 6*j - 1/3*j**2 = 0.
-17, -1
Let m(w) be the second derivative of -3*w**5/5 - 23*w**4/4 + 17*w**3 - 21*w**2/2 - w + 244. Factor m(y).
-3*(y - 1)*(y + 7)*(4*y - 1)
Let j(n) = -n**3 + 2*n**2 + 6*n - 7. Let p be j(3). Determine l so that 3*l**2 - 4*l - 7*l**2 + 3 + 2*l**p + 3*l**2 = 0.
1, 3
Determine s so that -2/9*s**2 + 32*s - 1152 = 0.
72
Let l(i) be the third derivative of i**5/30 - 9*i**4/2 + 243*i**3 - 2*i**2 - 49. Factor l(y).
2*(y - 27)**2
Let m(w) be the third derivative of 0*w**3 + 0*w - 1/9*w**4 + 1/90*w**5 + 9*w**2 + 0. Find v, given that m(v) = 0.
0, 4
Let d(l) be the second derivative of 3/2*l**2 + 1/3*l**3 - 2*l + 0 - 1/12*l**4. Factor d(j).
-(j - 3)*(j + 1)
Let -16*z**2 + 29*z - 18 + 4*z**2 + 645*z**3 - 644*z**3 = 0. What is z?
1, 2, 9
Let a = 35/87 + -2/29. Let s = -363/29 - -1234/87. Factor 4/3*v**2 + a + s*v.
(v + 1)*(4*v + 1)/3
Let f = 1/1011 + 9089/10110. Let i(k) be the second derivative of 1/5*k**3 - 1/60*k**4 - f*k**2 + 0 - 9*k. Factor i(u).
-(u - 3)**2/5
Let y = 1424/9 + -158. Let x(a) = a**2 - 11*a - 39. Let r be x(-3). Find d, given that 0*d**2 + 2/9*d**5 + 0 - y*d**4 + 0*d + 0*d**r = 0.
0, 1
Let p(s) be the first derivative of -s**3/12 - s**2/8 + 3*s/2 + 490. Find c, given that p(c) = 0.
-3, 2
Let t = -19016 - -19020. What is s in 2/3*s**t + 16/3*s**3 + 14*s**2 + 44/3*s + 16/3 = 0?
-4, -2, -1
Let s(g) be the second derivative of g**7/294 - g**6/30 + 13*g**5/140 + g**4/28 - 3*g**3/7 + g - 51. Determine r so that s(r) = 0.
-1, 0, 2, 3
Let t be 0/(-1)*(-5)/10. Let y(u) be the second derivative of -1/40*u**5 + 1/8*u**2 - 1/168*u**7 + 4*u - 1/40*u**6 + 1/8*u**3 + 1/24*u**4 + t. Solve y(n) = 0.
-1, 1
Suppose -15*f - 22*f = 0. Factor -6*m**3 + f + 0*m + 4/3*m**2.
-2*m**2*(9*m - 2)/3
Suppose t + r = 6*t + 2, 5*t + r - 2 = 0. Suppose 0 = -4*b + 3*q - 6*q + 8, 5*b + q - 10 = t. Determine j, given that 2/3 + 2*j**b + 2*j + 2/3*j**3 = 0.
-1
Let z(a) be the third derivative of -1/240*a**6 + 0 - 1/672*a**8 + 2*a**2 - 1/40*a**5 + 1/24*a**4 + 0*a + 0*a**3 + 1/140*a**7. Determine h so that z(h) = 0.
-1, 0, 1, 2
Let l = 769 - 3843/5. Determine o, given that -l + 2/5*o**2 + 0*o = 0.
-1, 1
Let i(x) be the third derivative of 3*x**5/4 + 10*x**4/3 - 10*x**3/3 - 19*x**2 + 3. Factor i(q).
5*(q + 2)*(9*q - 2)
Let n(a) = -2*a**2 + 3. Suppose 0 = 4*t + 4*i + i + 25, t + 3*i + 15 = 0. Let m be n(t). Factor 3/5*h**m + 0*h + 0 + 3/5*h**2.
3*h**2*(h + 1)/5
Let k(m) be the third derivative of -21/200*m**6 - 8*m**2 - 1/20*m**4 + 0*m - 1/112*m**8 + 0 + 0*m**3 + 11/100*m**5 + 17/350*m**7. Factor k(p).
-3*p*(p - 1)**3*(5*p - 2)/5
Determine v, given that -50*v**4 - 48*v**3 + 48*v - 44*v**4 + 9 + 85*v**4 + 6 - 6*v**2 = 0.
-5, -1, -1/3, 1
Suppose 4*p - 7*p + 35 = 4*s, 5*s - 2*p = 38. Factor -25*b**5 + s*b**4 + 0*b**4 - 11*b**5.
-4*b**4*(9*b - 2)
Let k(o) be the second derivative of o**6/15 + o**5/10 - o**4/6 - o**3/3 + 35*o - 2. Factor k(h).
2*h*(h - 1)*(h + 1)**2
Find r such that -57*r - 72 + 108*r - 69*r + 2*r**2 = 0.
-3, 12
Let i be ((-3)/6)/((-7)/14). Let y be ((-60)/25)/(-3)*i. Factor 2/5*b**4 + 0 - 6/5*b**2 - y*b + 0*b**3.
2*b*(b - 2)*(b + 1)**2/5
Let -25*q - q**2 + 26 - 4*q**2 + 0*q**2 + 3*q**2 + q**2 = 0. What is q?
-26, 1
Let u(c) be the third derivative of 1/420*c**7 + 0*c - 9*c**2 - 1/120*c**6 + 0*c**3 + 0*c**4 + 1/120*c**5 + 0. Solve u(w) = 0 for w.
0, 1
Let 5*d + 11*d - 18*d**2 - 21*d**2 + 41*d**2 = 0. Calculate d.
-8, 0
Let n(i) = 4*i**2 + 132*i + 4. Let h be n(-33). Let r(t) be the second derivative of 6*t + 0*t**2 + 7/85*t**6 + 0*t**3 - 2/51*t**h - 4/85*t**5 + 0. Factor r(a).
2*a**2*(3*a - 2)*(7*a + 2)/17
Let p = 59 + -59. Let o(v) be the second derivative of 0 - 1/15*v**6 + 1/3*v**4 + p*v**5 - v**2 + 0*v**3 - 7*v. Factor o(n).
-2*(n - 1)**2*(n + 1)**2
Suppose -c + 3 = 1. Suppose 8*q**3 + 8*q**c - 5*q + q - 6*q**3 - 6*q**3 = 0. What is q?
0, 1
Factor -5/2*c**4 - 5/2*c**2 + 0 - 15*c + 10*c**3.
-5*c*(c - 3)*(c - 2)*(c + 1)/2
Let t(