Let g be 3/1 - 11/(22/2). Let k(c) be the second derivative of -g*c**2 - 1/3*c**4 + 0 - 4/3*c**3 + 5*c. Suppose k(o) = 0. What is o?
-1
Let s = 116/3449 + 652750/486309. Let h = s - 2/47. Factor 8/3 - h*m**2 - 4/3*m.
-4*(m - 1)*(m + 2)/3
Let n(v) be the second derivative of -33*v**4/4 + 5*v**3/2 + 3*v**2 + 4*v + 3. Let n(g) = 0. What is g?
-2/11, 1/3
Let 7*y**3 + 21*y - 43*y - 3*y**3 + 22*y + 96*y**2 = 0. What is y?
-24, 0
Factor 47 + v**3 - 47 + 0*v**5 + 0*v**5 - v**5.
-v**3*(v - 1)*(v + 1)
Suppose 0 = -10*q - 2468 - 422. Let c = q - -291. Factor 0*p + 0 - 1/6*p**3 - 1/6*p**c.
-p**2*(p + 1)/6
What is b in 70/3*b**4 - 22/3*b**2 - 52/3*b + 106/3*b**3 + 0 - 2*b**5 = 0?
-1, 0, 2/3, 13
Let w(a) be the first derivative of -2 - 3*a**2 - 1/2*a**3 - 6*a. What is n in w(n) = 0?
-2
Let c be ((-18)/24)/(2/(-6)). Let o(l) be the first derivative of 2*l**3 + 0*l - 1/12*l**6 + 1/4*l**4 - c*l**2 + 10 - 2/5*l**5. Factor o(t).
-t*(t - 1)**2*(t + 3)**2/2
Let m(q) = -q**2 + 11*q - 4. Let h(r) = r**3 - r**2 + 10. Let z be h(0). Let b be m(z). Factor b*w + 13/2*w**2 + 1/2*w**4 + 3*w**3 + 2.
(w + 1)**2*(w + 2)**2/2
Let s(l) be the first derivative of l**6/15 - 2*l**5/5 - 3*l**4/5 + 76*l**3/15 - 43*l**2/5 + 6*l - 214. Suppose s(i) = 0. What is i?
-3, 1, 5
Let j(b) = -7*b**2 + 41*b + 33. Let x(l) = 6*l**2 - 40*l - 34. Let o(q) = -4*j(q) - 5*x(q). Find k, given that o(k) = 0.
-1, 19
Let z(x) = 160*x + 323. Let t be z(-2). Let -p**2 + 1/2*p**5 + 0 - 2*p**4 + 5/2*p**t + 0*p = 0. What is p?
0, 1, 2
Let i(z) be the first derivative of 4*z**3/3 + 2*z**2 - 8*z + 38. What is s in i(s) = 0?
-2, 1
Let i = -12 - -16. Factor 0*h**i - 4*h**4 + 3*h**3 + 8*h**4 + h**3 - 4*h**2 - 4*h**5.
-4*h**2*(h - 1)**2*(h + 1)
Let u = 94 - 83. Let s(a) be the third derivative of 0 + 0*a**3 + 1/150*a**6 + 0*a - 1/30*a**4 + 0*a**5 - u*a**2. Find x, given that s(x) = 0.
-1, 0, 1
Let g(m) be the third derivative of -m**8/2856 - m**7/105 - 29*m**6/510 - 41*m**5/255 - 53*m**4/204 - 13*m**3/51 - 37*m**2. Let g(r) = 0. Calculate r.
-13, -1
Let l(b) be the third derivative of 6*b**4 - 96*b**3 + 0 + 1/360*b**6 - 1/5*b**5 + 0*b + 40*b**2. Solve l(q) = 0 for q.
12
Factor 20*i**3 - 20*i**4 - 151*i**2 + 4*i**5 + 151*i**2 + i**5.
5*i**3*(i - 2)**2
Let z = 7755 - 7755. Solve 0*m**2 - 3/2*m**4 + z*m**3 - 3/2*m**5 + 0 + 0*m = 0 for m.
-1, 0
Let y(g) be the third derivative of g**7/420 - g**6/90 + g**5/60 + 6*g**3 - 27*g**2. Let z(l) be the first derivative of y(l). Factor z(m).
2*m*(m - 1)**2
Let m be ((-4)/50*5)/(24/(-50)). Find s such that -m*s + 1/6*s**3 + 1/2 + 1/6*s**2 = 0.
-3, 1
Suppose h = -2*k - 4, -h + 3*h + 5*k = -11. Let v(j) be the third derivative of 1/6*j**4 + 0 - 1/24*j**5 - 2*j**h + 1/240*j**6 + 0*j - 1/3*j**3. Factor v(x).
(x - 2)**2*(x - 1)/2
Suppose 44*s - 41*s - 6 = 0. Let n(d) = d**2 + 8*d - 6. Let f be n(-9). Solve -1/4*m**f + 1/2 + m**s - 5/4*m = 0.
1, 2
Let y(m) be the first derivative of -m**4/18 - 38*m**3/27 - 29*m**2/3 - 26*m - 336. Suppose y(x) = 0. Calculate x.
-13, -3
Suppose 5*u = -46 - 79. Let w be 2/5 - 40/u. Factor 2/5*a + 1/5*a**w + 0 - 1/5*a**3.
-a*(a - 2)*(a + 1)/5
Let k(q) = q**2 + 10*q - 13. Let h be k(-9). Let c = h + 26. Let -c*n**2 - 143*n + 134*n + n**2 = 0. Calculate n.
-3, 0
Suppose 40/7*w - 2/7*w**4 + 2*w**2 + 24/7 - 4/7*w**3 = 0. Calculate w.
-2, -1, 3
Let a(x) be the second derivative of x**4/126 - 2*x**3/63 + x**2/21 - 4*x + 16. Solve a(m) = 0 for m.
1
Let a(q) be the third derivative of q**6/420 + 11*q**5/70 + 121*q**4/28 + 1331*q**3/21 - 2*q**2 + 7. Find x such that a(x) = 0.
-11
Let n(x) be the third derivative of 0 - 16/15*x**3 + 0*x - 2/15*x**4 + 7/150*x**5 - 23*x**2 - 1/300*x**6. Factor n(k).
-2*(k - 4)**2*(k + 1)/5
Let 80/11*m**3 + 0*m + 162/11*m**5 + 0 + 234/11*m**4 + 8/11*m**2 = 0. Calculate m.
-1, -2/9, 0
Determine y, given that -y**5 + 3425*y**3 - 55*y**4 - 3450*y**3 + 10*y**2 - 19*y**5 = 0.
-2, -1, 0, 1/4
Let n(w) be the first derivative of -5*w**3 + 2*w**2 + 11*w - 5. Let g(o) = 15*o**2 - 5*o - 10. Let j(t) = -6*g(t) - 5*n(t). Solve j(u) = 0 for u.
-1/3, 1
Let i = -504 - -506. Let l(r) be the first derivative of 0*r**3 + 2/3*r**i - 1/15*r**5 + 0*r - 3 - 1/4*r**4. Solve l(f) = 0 for f.
-2, 0, 1
Let v(k) be the third derivative of -k**6/24 - 5*k**5/6 + 35*k**4/24 + 490*k**3/3 - 242*k**2. Let v(s) = 0. Calculate s.
-7, 4
Let q be (3 - 23/8)*(-36)/(-27). Let v(p) be the second derivative of -2*p - q*p**3 + 1/20*p**5 - 1/12*p**4 + 0 + 1/2*p**2. Factor v(z).
(z - 1)**2*(z + 1)
Let t(h) be the third derivative of h**8/33600 - h**7/420 + h**6/12 - 5*h**5/3 + 29*h**4/24 - 15*h**2. Let m(s) be the second derivative of t(s). Factor m(a).
(a - 10)**3/5
Let z(b) = b**3 + 7*b**2 + 4*b + 3. Let v be z(-5). Let d = 36 - v. Solve -7/3*n**3 + d*n**2 - 5/3*n**4 + 4/3*n + n**5 - 4/3 = 0.
-1, 2/3, 1, 2
Let q(a) be the second derivative of a**9/105840 - a**7/5880 - a**6/2520 + a**4/12 - a**3/6 - 2*a - 2. Let j(n) be the third derivative of q(n). Factor j(y).
y*(y - 2)*(y + 1)**2/7
Let p(m) = 13*m**2 + 165*m + 152. Let r(o) = 28*o**2 + 330*o + 302. Let g(u) = 9*p(u) - 4*r(u). Determine a so that g(a) = 0.
-32, -1
Let -15/8*c**2 + 0 - 3/8*c**4 + 3/2*c**3 + 3/4*c = 0. What is c?
0, 1, 2
Let v(b) be the first derivative of 7*b**6/2 - 3*b**5/5 - 207*b**4/4 - 131*b**3 - 141*b**2 - 72*b - 76. Factor v(r).
3*(r - 4)*(r + 1)**3*(7*r + 6)
Suppose 14*m + 78631 - 78659 = 0. Suppose 2*o**3 + 4/3*o**m + 1/3*o**5 + 4/3*o**4 + 1/3*o + 0 = 0. What is o?
-1, 0
Let p(r) be the second derivative of -r**7/84 - 3*r**6/20 + r**5/4 - 3*r + 14. Suppose p(i) = 0. What is i?
-10, 0, 1
Suppose 64*h = 68*h - 248. Let a = h + -245/4. Factor 0 + 1/4*j**4 + 0*j**2 - j + a*j**3.
j*(j - 1)*(j + 2)**2/4
Let o(h) be the third derivative of -h**7/70 - h**6/40 + 5*h**5/4 + 25*h**4/8 - 69*h**2. Factor o(c).
-3*c*(c - 5)*(c + 1)*(c + 5)
Let n be (4/(-6))/(11/(-110))*156/325. What is v in 4/5 + 24/5*v**2 + 4/5*v**4 - n*v - 16/5*v**3 = 0?
1
Let t be (1/38)/(-17 - (-28 + 10)). Let s(d) be the first derivative of 0*d**2 + 2/57*d**3 + t*d**4 + 0*d - 6. Factor s(x).
2*x**2*(x + 1)/19
Let x(p) = -p**2 - 14*p - 4. Let m be x(-14). Let z be 2/m + 1/2. Solve z*v - 3*v**2 + 1 + 2*v + 2*v**2 + 2*v**2 = 0 for v.
-1
Let o(i) be the second derivative of 6*i**2 + 0*i**4 + 0*i**3 - 10*i - 1/960*i**6 + 1/240*i**5 + 0. Let d(x) be the first derivative of o(x). Factor d(c).
-c**2*(c - 2)/8
Let y = -1939 - -164817/85. Let u = y - -81/170. Solve -u*m**3 - 1/2*m**4 + 1/2*m + 1/2*m**2 + 0 = 0.
-1, 0, 1
Let b = -11272/15 - -3764/5. Factor -4/3*z + 8/3 - b*z**2.
-4*(z - 1)*(z + 2)/3
Let c = -14 - -34. Let x be 48/c - 2 - 4/10. Factor t - t**3 + x*t**2 - 1/2*t**4 + 1/2.
-(t - 1)*(t + 1)**3/2
Find t, given that -2/11*t**2 - 4/11*t + 4/11*t**3 + 2/11*t**4 + 0 = 0.
-2, -1, 0, 1
Let n(z) be the first derivative of 2*z**5/35 + z**4/14 - 32*z**3/21 + 20*z**2/7 + 354. Factor n(l).
2*l*(l - 2)**2*(l + 5)/7
Let w(j) be the first derivative of j**6/840 - j**5/420 - j**4/168 + j**3/42 + 7*j**2/2 + 1. Let z(b) be the second derivative of w(b). Solve z(h) = 0 for h.
-1, 1
Let r(q) = -q**3 + 8*q**2 + 3*q. Let z(m) = 4*m**3 - 33*m**2 - 13*m. Let t be 1*-8 + 56/28. Let j(o) = t*z(o) - 26*r(o). Determine y, given that j(y) = 0.
0, 5
Factor -30*y + 3*y**2 + 78 + 0*y - 71*y + 20*y.
3*(y - 26)*(y - 1)
Let -21*t - 75*t**2 - 2*t**4 + 39*t**2 - 10 - 16*t**3 + 4*t - 15*t = 0. What is t?
-5, -1
Let o = -255712711/703612 + 1/100516. Let g = o - -364. Factor -6/7*h**3 - 2*h**5 + 0 + 24/7*h**4 - g*h**2 + 0*h.
-2*h**2*(h - 1)**2*(7*h + 2)/7
Let p be 47576/308 + 3 + (-105)/33. Let m = -154 + p. Suppose -2/7 + 2/7*t**2 + m*t - 2/7*t**3 = 0. What is t?
-1, 1
Suppose 3*j - 11 - 4 = 0, -5*v + 4*j - 5 = 0. Let n(b) be the second derivative of -2*b + 0 + 1/18*b**v + 1/36*b**4 - 1/3*b**2. Suppose n(g) = 0. What is g?
-2, 1
Let n(u) be the third derivative of -u**5/12 - 5*u**4/24 + 35*u**3 + 460*u**2. Solve n(x) = 0.
-7, 6
Let v(n) be the second derivative of n**7/42 - n**6/15 - n**5/5 + 2*n**4/3 - 677*n + 1. Determine b so that v(b) = 0.
-2, 0, 2
Let p(c) be the second derivative of -2*c**7/147 - c**6/15 + 17*c**4/42 + 4*c**3/21 - 12*c**2/7 + 127*c. Let p(b) = 0. What is b?
-2, -3/2, 1
Suppose 0 = -8*f - 10*f + 2*f. Let q(r) be the first derivative of 1/9*r**3 - 1/15*r**