Find i such that -4/9*i**3 - 28*i - f - 20/3*i**2 = 0.
-7, -1
Let x = 36 - 34. Let p be (-6)/5*(-55)/22. Solve 2*o**3 + 7*o**p + 12*o**x + 11*o**4 - 14*o**4 = 0.
-1, 0, 4
Let d(b) be the third derivative of -b**2 - 3/8*b**3 - 7/240*b**5 + 5/32*b**4 + 0*b + 6 + 1/480*b**6. Suppose d(u) = 0. What is u?
1, 3
What is v in v**4 + 4*v**4 - 74*v**2 - 20*v - 1700 + 440*v**3 + 816*v**2 + 955*v**2 - 422*v**2 = 0?
-85, -2, 1
Suppose -40/3*k - 2/3*k**2 + 64 = 0. Calculate k.
-24, 4
Let x(h) = 2*h**2 + 2 + 7*h + 0*h**2 - 3*h**2 + 2*h. Let r be x(9). Suppose 5*o**2 - r*o**2 - 3*o**3 - 36*o + 42*o = 0. Calculate o.
-1, 0, 2
Let -2*r**3 + 562793*r**2 - 562793*r**2 + 2*r**4 = 0. What is r?
0, 1
Let f(j) be the third derivative of j**5/75 + 9*j**4/5 + 486*j**3/5 - 1384*j**2. Suppose f(i) = 0. What is i?
-27
Let j = 1/27996 + 111977/195972. Let g be 15/30*(-12)/(-14). Find v such that -v - g*v**2 + j - 5/7*v**4 + 11/7*v**3 = 0.
-4/5, 1
Suppose 0 = 121983*z - 122005*z + 66. Let k(a) be the first derivative of 0*a**z - 2/85*a**5 - 40 + 0*a + 0*a**2 + 1/34*a**4. Factor k(f).
-2*f**3*(f - 1)/17
Let o(y) be the second derivative of -31/15*y**6 - 16/3*y**3 - 26/5*y**5 + 2/3*y**7 + 64/3*y**4 - 83 - 16*y**2 + y. Let o(w) = 0. Calculate w.
-2, -2/7, 1/2, 2
Let p be 6945/(-240) - -17 - -12. Let c(l) be the first derivative of 0*l**2 + 1/4*l**3 - l + 12 + p*l**4. Factor c(q).
(q - 1)*(q + 2)**2/4
Let v(d) be the second derivative of -d**5/40 - 38*d**4/3 - 605*d**3/12 - 151*d**2/2 - 2*d - 3280. What is r in v(r) = 0?
-302, -1
Let l(y) = 16*y**2 + 61*y + 48. Let k(o) = 20*o + 867 + 5*o**2 - 433 - 418. Let j(z) = -11*k(z) + 4*l(z). Find p such that j(p) = 0.
-4/3
Let f(y) = y**3 - 6*y**2 - 9*y - 11. Let n be f(4). Let c = n + 241/3. Factor -2/3*m**4 - c*m**3 + 0 + 2/3*m**2 + 4/3*m.
-2*m*(m - 1)*(m + 1)*(m + 2)/3
Let y(o) be the third derivative of -7*o**5/120 + 53*o**4/12 - 5*o**3 - 2*o**2 + 1374. Solve y(p) = 0.
2/7, 30
Let y = 4334/4255 - 186/851. Suppose -8/5*d**2 + 2/5*d**4 + 4/5*d**3 + 6/5 - y*d = 0. Calculate d.
-3, -1, 1
Find y, given that -4438097031*y**2 - 76632*y**4 + 40793763*y**3 - 451706304 + 1664190961*y - 2809586349*y**2 - 2*y**5 + 50*y**5 + 1952006687*y = 0.
1/4, 532
Let g be 6*((-50)/(-15))/5 + -2. Factor 55*w**3 + 7*w**2 - 4*w**4 - 141*w**2 + 125*w - 41*w**g - w**4.
-5*w*(w - 5)**2*(w - 1)
Let z(q) be the second derivative of -112/9*q**3 - 3*q - 3136/3*q**2 - 1/18*q**4 - 53. Factor z(s).
-2*(s + 56)**2/3
Let y(a) = -5*a**4 + 20*a**3 - 20*a**2 - 4*a + 2. Let b(t) = -2*t + 0 - 10 - 5 + 16. Let o(u) = -2*b(u) + y(u). What is c in o(c) = 0?
0, 2
Suppose c + 8 = 10. Solve -18*p**2 - 18*p**c + 61*p**2 - 5*p - 26*p**2 = 0 for p.
-5, 0
Let z(v) be the second derivative of -v**7/420 + v**6/25 + 8*v**5/25 + 2*v**4/15 - 4*v**3 - 64*v**2/5 - 3707*v. Solve z(f) = 0 for f.
-2, 2, 16
Let z(y) = -y**3 - 9*y**2 + 9*y - 10. Let w = -20 - -10. Let r be z(w). Let -24*j**4 + 47*j - 39*j + r*j**3 - 10*j**5 + 24*j**2 + 2*j**3 = 0. Calculate j.
-2, -1, -2/5, 0, 1
Factor 0*f**2 + 3/4*f - 1/2 - 1/4*f**3.
-(f - 1)**2*(f + 2)/4
Find z such that -3/2*z**4 - 1/2*z**5 + 45/2*z**3 + 18*z - 77/2*z**2 + 0 = 0.
-9, 0, 1, 4
Let w(s) be the third derivative of -s**7/525 + 49*s**6/75 - 4703*s**5/75 - 1617*s**4/5 - 3267*s**3/5 + 187*s**2. Solve w(n) = 0.
-1, 99
Determine m so that 25*m**3 + 152*m + 6*m**2 + 37*m**2 + 52*m**2 - 5*m**4 + 6*m**4 + 27*m**2 = 0.
-19, -4, -2, 0
Let d(k) be the first derivative of -k**3 - 189*k**2 + 381*k - 1051. Factor d(f).
-3*(f - 1)*(f + 127)
Let m = -4 + 29. Suppose 0 = 4*b - m + 9. Factor 24*l**5 + 23*l**5 - 46*l**5 + 2*l**3 + 3*l**b.
l**3*(l + 1)*(l + 2)
Factor -19203*w**2 + 2065 - 19203*w**2 + 38411*w**2 + 2070*w.
5*(w + 1)*(w + 413)
Solve 2*z**5 - 42*z**4 + 13*z - 137 - 142*z**3 + 19*z + 108*z + 0*z - 54*z**2 + 233 = 0 for z.
-2, -1, 1, 24
Let w(y) = -9*y**3 - 6*y**2 + 3*y + 6. Let m(a) = a**3 + a**2 + a. Let q be (-19)/114 + 5/(-6). Let f(l) = q*w(l) - 6*m(l). Factor f(z).
3*(z - 2)*(z + 1)**2
Let i = -6080 - -6084. Let c(k) be the third derivative of 1/12*k**3 + 1/420*k**7 + 36*k**2 + 0*k - 1/12*k**i + 0 + 1/20*k**5 - 1/60*k**6. Factor c(l).
(l - 1)**4/2
Suppose 12 = 5*h - h. Suppose -3*o = 2*o + h*y - 57, 1 = o - 2*y. Factor 27 - 4*z**3 - 3*z + 3*z**3 + o*z**2 - 9*z - 15*z.
-(z - 3)**3
Factor 644 - 28846314*v**2 + 35*v - 6*v + 31*v + 28846315*v**2.
(v + 14)*(v + 46)
Let j(t) be the second derivative of -2*t - 14*t**3 + 1/6*t**4 + 441*t**2 + 40. Suppose j(i) = 0. Calculate i.
21
Let m(r) be the third derivative of -r**8/2352 + 17*r**7/1470 - 4*r**6/35 + 62*r**5/105 - 38*r**4/21 + 24*r**3/7 + 1413*r**2. Factor m(y).
-(y - 9)*(y - 2)**4/7
Let u = 360 - 233. Suppose -3*q - 88 = -u. Solve -2*k**2 - k**4 - q*k**2 + 10*k + 0*k + 6*k**4 = 0.
-2, 0, 1
Factor -350/3 + 62/3*c**2 - 286/3*c - 2/3*c**3.
-2*(c - 25)*(c - 7)*(c + 1)/3
Let p(x) be the first derivative of -165/2*x**2 - 135 - 115/3*x**3 - 15/4*x**4 - 70*x + x**5. Factor p(w).
5*(w - 7)*(w + 1)**2*(w + 2)
Let b(k) = -9*k - 133. Let a be b(-7). Let m = a + 70. Factor m - 1/2*r**2 + 3/2*r.
-r*(r - 3)/2
Let l(o) be the first derivative of 6*o**2 - 24*o + 1/2*o**6 - 15/4*o**4 + 122 - 6/5*o**5 + 10*o**3. Solve l(i) = 0 for i.
-2, -1, 1, 2
Let c = 80 - 129. Let x = c + 51. Find m such that 600*m**x - 108*m**3 + 76*m**3 + 128 - 480*m - 218*m**3 = 0.
4/5
Let r(u) be the first derivative of -u**3 - 2439*u**2/2 - 7935. Factor r(a).
-3*a*(a + 813)
Let m(r) be the second derivative of 3/100*r**5 + 0*r**3 - 6*r**2 + 0 + 0*r**4 + 13*r + 1/200*r**6. Let s(g) be the first derivative of m(g). Factor s(d).
3*d**2*(d + 3)/5
Let r(o) be the second derivative of -o**6/72 + 19*o**5/24 + 35*o**4/4 + 3*o**3/2 - 5*o**2/2 - 3*o - 33. Let s(m) be the second derivative of r(m). Factor s(k).
-5*(k - 21)*(k + 2)
Let i(n) = -17*n - 5. Let c be i(-1). Suppose 2 = -3*p + v + c, -p + 2 = -v. Suppose 4*x**4 + x**3 - 5*x**3 + 2*x**2 - 12*x**p + 10*x**4 = 0. What is x?
0, 1
Factor -3*a**2 - 126565 - 1512*a - 131025 + 67078.
-3*(a + 252)**2
Let c = 236 + -212. Suppose -12*z**4 + 20*z**3 + c*z**4 - 9*z**4 - 20*z - 8*z**4 + 5*z**2 = 0. Calculate z.
-1, 0, 1, 4
Let l(f) be the first derivative of -f**6/30 + 33*f**5/25 - 119*f**4/20 - 2833*f**3/15 + 12*f**2 + 560*f - 50. Suppose l(t) = 0. Calculate t.
-7, -1, 1, 20
Suppose -5*z - 9280 = 2*k - k, -2*k = 0. Let h = 1609 - z. Determine s, given that 3465*s**2 - 3*s**3 + 3*s - h*s**2 = 0.
-1, 0, 1
Let q(h) be the second derivative of -h**6/480 + h**5/24 - 25*h**4/96 - 61*h**2/2 - h - 60. Let a(k) be the first derivative of q(k). Factor a(f).
-f*(f - 5)**2/4
Let m(d) be the second derivative of d**5/80 - 283*d**4/48 + 6721*d**3/8 - 19881*d**2/8 + 79*d + 23. Suppose m(v) = 0. Calculate v.
1, 141
Suppose 20*q - 4*q = 112. Factor -20*y + q*y + y**2 + 5*y + 14*y.
y*(y + 6)
Let h = 22183/3 + -7394. Let a(g) be the second derivative of 0 + 0*g**2 - g**3 + h*g**4 + 5*g. Factor a(p).
2*p*(2*p - 3)
Let s(b) be the first derivative of 5*b**4/12 - 55*b**3/6 + 25*b**2 + 56*b + 63. Let i(g) be the first derivative of s(g). Determine a, given that i(a) = 0.
1, 10
Let y(t) = -69*t**2 + t + 131*t**2 - 60*t**2 + 2*t. Let c(q) = -q**2 + q. Let s(f) = 3*c(f) - y(f). Determine k so that s(k) = 0.
0
Let f(l) be the third derivative of -l**7/7560 + 7*l**6/2160 - l**5/60 - l**4/8 + 38*l**2. Let p(o) be the second derivative of f(o). Factor p(t).
-(t - 6)*(t - 1)/3
Let h be 4/(-6)*1*(-65)/26. Solve 1/6*y**5 + 4/3*y**2 - 7/3*y**3 + 13/6*y + 1/3*y**4 - h = 0 for y.
-5, -1, 1, 2
Let y be (-30368)/(-2336) - (-1)/18*-206. Factor -y + 10/3*c - 2*c**2 + 2/9*c**3.
2*(c - 7)*(c - 1)**2/9
Let n = -27 + 32. Let a be (-5)/n - 3*-1. Factor 6*y**a + 0*y**2 + 1248*y**5 - 9*y**3 - 1245*y**5.
3*y**2*(y - 1)**2*(y + 2)
Determine i so that -25/3*i - 1/3*i**4 - 11/3*i**3 - 9*i**2 - 8/3 = 0.
-8, -1
Let p(y) be the third derivative of -y**5/180 - 59*y**4/72 + 14*y**3 + 22*y**2 - 109. Suppose p(j) = 0. Calculate j.
-63, 4
Let m(q) = -15*q**2 + 2236*q - 417379. Let n(c) = -246*c**2 + 35775*c - 6678060. Let d(t) = 33*m(t) - 2*n(t). Determine a so that d(a) = 0.
373
Let b be (-32)/(-40)*(-1)/(-4). Suppose -57*w - 6*w = 17*w - 240. Factor 0*d**2 + 0 - 2/5*d**w + b*d**4 + 0*d.
d**3*(d - 2)/5
Factor -36/11 + h**2 + 1/11*h**3 + 24/11*h.
(h - 1)*(h + 6)**2