 What is s?
-138
Suppose m = -5*p + 116, -m - 2*p + 116 = -4*p. Let h be (-1)/((-4)/m) - -3. Let h*c**2 + c**3 - 32*c**2 + c**4 + 0*c**3 = 0. Calculate c.
-1, 0
Let j = -52 + 54. Factor -3*g**5 - 15*g**4 + 16*g**4 + 8*g**j + 18*g**3 + g - 3 + 10*g**2.
-(g - 3)*(g + 1)**3*(3*g - 1)
Determine o so that -o**3 + 74*o**2 + o + 59*o**2 - 131*o**2 - 2 = 0.
-1, 1, 2
Find f such that -16/3*f**2 + 4*f**3 - 4*f - 2/3*f**4 + 6 = 0.
-1, 1, 3
Let t = 10 + 1. Suppose -13 = -12*o + t. Solve -3*u - 3/2*u**o - 3/2 = 0 for u.
-1
Factor 9/2*d + 13/6 + 5/2*d**2 + 1/6*d**3.
(d + 1)**2*(d + 13)/6
Let m(t) be the second derivative of -t**4/108 + 17*t**3/54 + 497*t. Solve m(i) = 0 for i.
0, 17
Determine f so that 16*f + 128 + 1/2*f**2 = 0.
-16
Let b(u) be the first derivative of 1/36*u**4 + 38 + 0*u + 0*u**3 - 1/18*u**2. Factor b(v).
v*(v - 1)*(v + 1)/9
Let k(a) be the first derivative of 7*a**5/12 + 5*a**4/12 - 13*a**2 - 13. Let h(v) be the second derivative of k(v). Factor h(q).
5*q*(7*q + 2)
Let y be ((-12)/280*1)/(-1). Let d(j) be the third derivative of y*j**7 + 9/2*j**3 + 0 + 0*j + 15/4*j**4 - 7/20*j**6 + 1/5*j**5 - 6*j**2. Factor d(p).
3*(p - 3)**2*(p + 1)*(3*p + 1)
Let h(j) be the third derivative of 0*j**3 - 1/108*j**4 + 0 + 20*j**2 + 1/135*j**5 - 1/540*j**6 + 0*j. Suppose h(b) = 0. What is b?
0, 1
Let h = -2016 - -2018. Factor 8/3*y**h + 0 + 4/3*y**3 - 32/3*y.
4*y*(y - 2)*(y + 4)/3
Let i(d) = -5*d**4 + 50*d**2 + 25*d - 60. Let x(p) = -2 - 107*p + 2 + 106*p - p**2. Let s(c) = i(c) + 5*x(c). Factor s(o).
-5*(o - 3)*(o - 1)*(o + 2)**2
Let q be (-18)/(-8)*(-24)/(-108). Let v(t) be the second derivative of t**2 + 0*t**4 + t - 1/20*t**5 + q*t**3 + 0. Determine d so that v(d) = 0.
-1, 2
Let y be 2/25 + (-2093)/(-6650). Let b = 191/190 + y. Factor b*a**4 - 9/5*a**2 + a**3 + 2/5 - a.
(a - 1)*(a + 1)**2*(7*a - 2)/5
What is u in -12/7*u + 12/7*u**3 + 2/7*u**2 - 2/7*u**4 + 0 = 0?
-1, 0, 1, 6
Factor 14/5*h**3 + 8/5*h**2 + 0 + 0*h.
2*h**2*(7*h + 4)/5
Let r(m) be the first derivative of -m**6/10 - 9*m**5/25 + 3*m**4/5 + 16*m**3/5 - 48*m/5 + 379. Determine t, given that r(t) = 0.
-2, 1, 2
Solve 10*y**3 - y + 2*y**5 + 9*y**2 - 8*y - 17*y**2 - 3*y**5 + 4*y**4 + 4*y**4 = 0.
-1, 0, 1, 9
Let f(t) be the first derivative of -t**4/12 - 4*t**3/3 - 29*t**2/6 - 6*t - 582. Factor f(o).
-(o + 1)*(o + 2)*(o + 9)/3
Let p(d) = -3*d**2 - 14*d - 6. Let i be p(-4). Let f be 0 + 17/(-7) + 3. Determine t so that 10/7*t**3 + 2*t - f - 18/7*t**i - 2/7*t**4 = 0.
1, 2
Factor 8*i + 5 + 21*i**4 - 9*i**2 - 25*i**4 - 17 + 25*i**2 - 8*i**3.
-4*(i - 1)**2*(i + 1)*(i + 3)
Suppose 42*x + 4*l = 44*x - 18, 2*l = -4*x + 66. Suppose 3/2 + 15/2*d + x*d**3 + 15*d**2 + 3/2*d**5 + 15/2*d**4 = 0. What is d?
-1
Suppose 10*a = 15*a - 10. Suppose -c + 4 = 0, a*u + 0*u + 3*c = 16. Let -2/3*p**u - 4/3*p - 2/3 = 0. Calculate p.
-1
Factor -256/7 + 192/7*n - 36/7*n**2 + 2/7*n**3.
2*(n - 8)**2*(n - 2)/7
Let t = -269215657/645 - -417389. Let g = t + 2/129. Factor 0*o**3 - g*o - 3/5*o**2 + 1/5*o**4 + 0.
o*(o - 2)*(o + 1)**2/5
Let w(t) be the first derivative of -6 + 0*t**2 + 0*t + 2/27*t**3 + 0*t**4 - 2/45*t**5. Factor w(b).
-2*b**2*(b - 1)*(b + 1)/9
Let c be (0 + 1)/((-4)/(-6)). Let q(p) = -p**2 - 217*p - 11122. Let y be q(-134). Factor -c*k + 3/2*k**3 + 0 + y*k**2.
3*k*(k - 1)*(k + 1)/2
Suppose r = -r - k - 173, 2*k - 99 = r. Let z = -443/5 - r. Factor -z*x**2 - 12/5*x**4 + 9/5*x**3 + x**5 + 0 + 0*x.
x**2*(x - 1)**2*(5*x - 2)/5
Suppose 430 - 112 = 6*c. Let g = -51 + c. Factor 4/3*s**2 - 2/3*s**5 - 4/3*s**3 - g*s**4 + 2*s + 2/3.
-2*(s - 1)*(s + 1)**4/3
Let p = 44784 + -44782. Factor -16/11 - 2/11*l**p + 20/11*l - 2/11*l**3.
-2*(l - 2)*(l - 1)*(l + 4)/11
Let n = -108/2467 - -14692173/27137. Let m = n + -541. Determine h so that m*h - 14/11*h**4 + 0 - 6/11*h**2 - 24/11*h**3 = 0.
-1, 0, 2/7
Let v be ((-27)/(-270))/(1 - 6/8). Let k = 1943/5 + -385. Factor 12/5*l - v*l**2 - k.
-2*(l - 3)**2/5
Let -t**4 + 45*t**2 + 22*t - 16 - 82*t**2 + 20*t + 3*t**3 + 0*t**4 + 9*t**3 = 0. Calculate t.
1, 2, 8
Let j = 46 - -13. Find o such that -j*o + 5 + 450*o**2 - 1 + 179*o + 4 = 0.
-2/15
Let a be 0/((4/(-3))/((-22)/(-33))). Factor -8/9 + 2/9*t**2 + a*t.
2*(t - 2)*(t + 2)/9
Suppose 0 = -25*h + 4*h + 63. Factor -h*a**3 - 27/5*a**2 - 21/5*a - 6/5 - 3/5*a**4.
-3*(a + 1)**3*(a + 2)/5
Let h(x) be the first derivative of x**6/420 - x**5/210 + 17*x**2/2 - 3. Let q(m) be the second derivative of h(m). Solve q(w) = 0 for w.
0, 1
Let q(k) be the first derivative of -k**5/100 + k**4/20 - k**3/10 + k**2/10 - 14*k - 1. Let m(x) be the first derivative of q(x). Factor m(v).
-(v - 1)**3/5
Let c(v) = 6*v**3 - 51*v**2 + 130*v - 43. Let y(x) = -6*x**3 + 51*x**2 - 128*x + 44. Let j(g) = -4*c(g) - 5*y(g). Suppose j(i) = 0. What is i?
1/2, 4
Let v be -55*(57/(-270) + (-4)/(-40)) - 5. Suppose -2/9 - v*y + 4/3*y**2 = 0. Calculate y.
-1/6, 1
Let m(j) be the first derivative of 2*j**3/9 + 8*j**2 - 50*j/3 - 505. Let m(z) = 0. Calculate z.
-25, 1
Suppose -6*q + 3740 = 3722. Solve 0*a - 1/2*a**5 - 1/2*a**q + 0*a**2 - a**4 + 0 = 0.
-1, 0
Let j = -1087 - -1090. Factor -2/5*x + 2/5*x**j - 2/5*x**2 + 2/5*x**4 + 0.
2*x*(x - 1)*(x + 1)**2/5
Solve 47*c + 95*c + 2*c**3 - 48*c**2 - 50*c - 44 - 2*c = 0.
1, 22
Let j be -3*((-12)/3 - -1). Suppose 0 = -s - l - 0*l + 3, j = s - l. Solve 3*b**2 + 9 - s*b - b - 5*b = 0.
1, 3
Factor -1/7*o**2 + 9/7 + 0*o.
-(o - 3)*(o + 3)/7
Suppose 35 = 5*w + 5*p, 29*p = -4*w + 30*p + 13. Determine b, given that 0 + 0*b + 3/4*b**5 - 1/2*b**2 + 3/4*b**3 + 2*b**w = 0.
-2, -1, 0, 1/3
Let i(q) be the second derivative of -q**4/12 - 4*q**3/3 - 4*q**2 - 20*q. Let y be i(-2). Factor 8/7*g**y + 0 + 0*g + 4/7*g**2 + 18/7*g**3.
2*g**2*(g + 2)*(4*g + 1)/7
Let u = -1239 + 1239. Solve -4/9*p**2 + 8/9*p + u = 0 for p.
0, 2
Let s be 3/(-4) - 3243/92. Let v be (4 + (-246)/54)/(15/s). What is y in -4*y**2 - 4/3 + 4*y + v*y**3 = 0?
1
Let v(s) be the first derivative of s**6/36 - s**5/30 - 7*s**4/12 + 14*s**3/9 + 2*s**2/3 - 16*s/3 - 13. Factor v(l).
(l - 2)**3*(l + 1)*(l + 4)/6
Suppose 0 = -3*l - 4 + 19. Let m be (19 - (-1495)/(-78))/(1/(-18)). Factor -3/4*w**2 - 3 + 3/4*w**4 + 6*w - 15/4*w**m + 3/4*w**l.
3*(w - 1)**3*(w + 2)**2/4
Let f(l) = -l**3 - 15*l**2 - 51*l - 67. Let n(k) = -k**2 - k - 1. Let i(o) = -f(o) + 3*n(o). What is a in i(a) = 0?
-4
Let k(z) = 3*z - 82. Let n be k(29). Suppose 9 = n*l - 6. Factor -6/7*p + 2/7*p**l + 4/7 + 0*p**2.
2*(p - 1)**2*(p + 2)/7
Let y(p) be the third derivative of p**6/420 - 31*p**5/210 + 8*p**4/3 + 256*p**3/21 - p**2 + 8. Factor y(i).
2*(i - 16)**2*(i + 1)/7
Let g be (1 - (3 + -2)) + -2. Let i be (-4)/24*4/g. Factor i - 1/3*c**3 + 1/3*c - 1/3*c**2.
-(c - 1)*(c + 1)**2/3
Let y(v) = -3*v**3 + 83*v**2 - 299*v + 360. Let g(x) = 8*x**3 - 208*x**2 + 748*x - 896. Let b(m) = 5*g(m) + 12*y(m). Solve b(w) = 0 for w.
2, 4, 5
Suppose -m + 3*m - 4*j + 100 = 0, -2*m - 88 = -j. Let v be 3*(56/m - (-1 + -1)). Factor -6/13 - 4/13*k + 2/13*k**v.
2*(k - 3)*(k + 1)/13
Let j(r) be the third derivative of -r**8/48 + 2*r**7/35 + r**6/30 - r**2 - 136*r. Let j(t) = 0. What is t?
-2/7, 0, 2
Let o be (1 - -161)*((-21)/6 - -4). Let d be (-1*o/(-36))/((-26)/(-64)). Factor -d*j - 60/13*j**2 - 14/13*j**3 - 16/13.
-2*(j + 2)**2*(7*j + 2)/13
Let t be (0 - (-16)/4) + 24. Let l = t + -25. Factor -260*u - 150*u**2 - 39*u**l - 90*u**2 - 6*u**3 - 80.
-5*(u + 4)*(3*u + 2)**2
Let q(g) be the second derivative of -1/56*g**7 + 0*g**3 - 13*g - 1/40*g**6 + 1/16*g**4 + 0*g**2 + 0 + 3/80*g**5. Solve q(t) = 0.
-1, 0, 1
Let g = -89 - -92. Let l(m) be the third derivative of 0*m + 1/90*m**6 + 1/9*m**g - 1/18*m**4 + 0*m**5 - 1/315*m**7 + 0 + m**2. Let l(c) = 0. What is c?
-1, 1
Let t(l) = -4*l + 4. Suppose -8 = m - 5*m. Let x(r) = 5 - 7*r + r + m*r - r**2. Let q(b) = -3*t(b) + 2*x(b). Factor q(c).
-2*(c - 1)**2
Let u(z) = 4*z - 2*z + 7*z**3 + 6 - 11*z - z**4 - z**2. Let f(i) = -i**4 + i**3 - i**2. Let n(r) = 2*f(r) + u(r). Factor n(j).
-3*(j - 2)*(j - 1)**2*(j + 1)
Suppose -2*p = 5*v + 1214, 0 = 2*v + v + 3*p + 723. Let n be v/(-44) + (4 - 9). Find g, given that -n*g + 4/11 - 4/11*g**2 = 0.
-2, 1/2
Suppose 14*l = 64*l - 100. Factor -8/13*d + 0 + 2/13*d**l.
2*d*(d - 4)/13
Suppose 0 = -2*q + 9 - 5. Factor 7*h + h**2 + h**q - 3*h**2 + 0*h.
-h*(h - 7)
Let i(s) be the second derivati