, given that -16/9*t + o*t**2 + 8/3 = 0.
2, 6
Let v be ((-2)/(-6))/((232/522)/(8/10)). Factor -1/5*c**5 - 3/5*c**4 + 0*c - 1/5*c**2 + 0 - v*c**3.
-c**2*(c + 1)**3/5
Let m(r) be the third derivative of 5/6*r**4 + 12*r**2 + 0 - r - 1/150*r**5 - 125/3*r**3. Determine q so that m(q) = 0.
25
Let u be 36/6*2/18*12. Let w be (-21)/(-14)*u/60. Factor -1/5*f**2 + w*f + 2/5.
-(f - 2)*(f + 1)/5
Let l(t) be the second derivative of 3*t**5/20 + 23*t**4/2 - 48*t**3 + 1833*t + 1. What is s in l(s) = 0?
-48, 0, 2
Let o(b) be the second derivative of -5*b**7/168 + 67*b**6/120 - 21*b**5/80 - 67*b**4/48 + 13*b**3/12 - 4331*b + 1. Let o(k) = 0. What is k?
-1, 0, 2/5, 1, 13
Let w(p) be the first derivative of p**5/300 - 47*p**4/120 - 8*p**3/5 + p**2/2 + 52*p + 310. Let c(j) be the second derivative of w(j). Let c(f) = 0. What is f?
-1, 48
Suppose -7*n - 89 = 184. Let g = -36 - n. Factor 5 - 5*y**2 + 148*y**g - 123*y**3 + 4*y**4 - 25 - 5*y**5 - 40*y + y**4.
-5*(y - 2)**2*(y + 1)**3
Let d(i) be the first derivative of -i**4/4 - 7*i**3 - 9*i**2 + 40*i + 1112. Factor d(r).
-(r - 1)*(r + 2)*(r + 20)
Let b be (-5)/(6/8 - (-7)/(-4)). Let o(n) be the third derivative of 1/16*n**4 - 1/80*n**6 + 1/40*n**5 + 0*n - 1/4*n**3 + 0 - b*n**2. Factor o(v).
-3*(v - 1)**2*(v + 1)/2
Factor -3*i**4 + 6*i + 123*i**3 + 6*i - 574 + 46 + 396*i**2.
-3*(i - 44)*(i - 1)*(i + 2)**2
Suppose -132*c + 75*c = -171. Let d(p) be the first derivative of -1/10*p**4 + 2/5*p**c + 4 + 0*p - 2/5*p**2. Factor d(m).
-2*m*(m - 2)*(m - 1)/5
Let t(x) = -3*x - 28. Let p be t(-8). Let o be p/20*(-1)/4*10. Factor o*s**2 + 0 - 2*s.
s*(s - 4)/2
Let s = -270 + 269. Let z be (s*2)/(108/(-162)). Solve -44/5*d**2 - 18/5 - 2/5*d**4 - 48/5*d - 16/5*d**z = 0 for d.
-3, -1
Let y(d) = -4*d**3 + 84*d**2 - 2*d + 50. Let k be y(21). Suppose -k*t - c = -5*t + 2, -5*t = c + 2. Factor 0 - 2/11*x**2 - 2/11*x**4 + 4/11*x**3 + t*x.
-2*x**2*(x - 1)**2/11
Suppose -277*h + 144 = -273*h. Suppose -40*n**3 + 23*n**3 + 57*n**2 + 20*n**3 + 735 + h*n + 321*n = 0. Calculate n.
-7, -5
Let k(q) = 8*q**3 + 68*q**2 - 158*q + 106. Let s(m) = 3*m**3 + 23*m**2 - 53*m + 35. Let d(u) = 5*u - 21. Let c be d(7). Let f(n) = c*s(n) - 5*k(n). Factor f(r).
2*(r - 5)*(r - 2)**2
Let c = -352022 + 352024. Solve 0 - 1/4*z**3 - 1/4*z - 1/2*z**c = 0.
-1, 0
Let q(i) = i + 1. Let u(h) = -2*h**4 + h**3 + 6*h**2 - 3*h - 3. Let d(j) = 3*q(j) + u(j). What is w in d(w) = 0?
-3/2, 0, 2
Let o be 665/(-285) + 4*1. What is i in 5*i**2 - o*i - 5 + 5/3*i**3 = 0?
-3, -1, 1
Suppose 0 = -96*u + 182*u. Factor u + 1/9*t - 1/9*t**2.
-t*(t - 1)/9
Solve 244*u + 2*u**3 + 770*u + 168*u - 116*u**2 + 500*u = 0 for u.
0, 29
Let j(p) = p**2 - 10*p - 10. Let o be j(11). Suppose 3*m + 2*w + o = 0, -3*m + 4*m = 3*w + 18. Factor 0*k**4 + 7*k**2 + k**4 - m*k**3 - k**2 - 4*k**2.
k**2*(k - 2)*(k - 1)
Let t be (4/(-20))/(3/(-10))*((-6683)/(-164) - 10). Find q such that -t*q - 1/4*q**2 - 1681/4 = 0.
-41
Let n(o) be the second derivative of -o**4/54 - 53*o**3/27 - 52*o**2/9 + 10*o - 10. Factor n(i).
-2*(i + 1)*(i + 52)/9
Let j(l) be the second derivative of -l**4/48 + 283*l**3/6 - 80089*l**2/2 + 2655*l. Solve j(z) = 0.
566
Suppose -19*g = -17*g + 3*q - 30, 34 = 3*g - q. Determine x so that -120*x**2 - 3*x - 15 + g*x + 115*x**2 + 15 = 0.
0, 9/5
Let k(u) be the first derivative of -u**6/9 + 8*u**5/15 - u**4/3 - 8*u**3/9 + u**2 - 241. Suppose k(o) = 0. What is o?
-1, 0, 1, 3
Let c = -1268 + 1270. Let x be (c/(-15))/(8*(-9)/756). Factor x*s - 1/5*s**2 - 2/5 - 2*s**3.
-(s + 1)*(2*s - 1)*(5*s - 2)/5
Let u(n) be the first derivative of -5*n**4/16 - 2553*n**3/2 - 1466124*n**2 + 1173512*n - 14009. Factor u(r).
-(r + 1532)**2*(5*r - 2)/4
Let i(v) = 3*v**2 - v - 2. Let d be (-2)/(-5) - (-10)/(300/(-42)). Let b be i(d). Determine k, given that b*k**2 + 3 - 1 - 5 + k**2 = 0.
-1, 1
Suppose -100*t + 29 = 29. Let a(d) be the third derivative of -5/8*d**4 + 0 + 0*d - 1/12*d**5 - d**2 + t*d**3. Factor a(v).
-5*v*(v + 3)
Let l(h) be the third derivative of -h**8/1680 - h**7/50 - 3*h**6/100 + 2*h**5/15 + 2*h**2 - 22*h. Solve l(x) = 0.
-20, -2, 0, 1
Let b(c) be the third derivative of 1/360*c**5 - 1/36*c**3 + 0 - 1/720*c**6 - 60*c**2 + 1/144*c**4 + 0*c. Factor b(f).
-(f - 1)**2*(f + 1)/6
Let q = 160892 + -643565/4. Determine b so that 7/4*b - 3/4 - 7/4*b**3 + q*b**2 = 0.
-1, 3/7, 1
Let c be 2 + -16 + (9/6 - (-100)/8). Solve 2*p**2 + c + 0*p - 1/2*p**4 + 0*p**3 = 0 for p.
-2, 0, 2
Suppose 50 + 14 = 8*q. Let y(r) be the first derivative of -1 + 8/3*r**3 + 0*r**2 - q*r**4 + 0*r + 34/5*r**5 - 5/3*r**6. Determine c, given that y(c) = 0.
0, 2/5, 1, 2
Let s = 50 - 45. Let c = 14 - 11. Solve 76*t - 2 - 25*t**c - 15*t**2 - s*t**4 - 31*t + 2 = 0 for t.
-3, 0, 1
Let u(l) be the first derivative of -l**3/4 - 33*l**2/2 - 945*l/4 + 7188. Factor u(r).
-3*(r + 9)*(r + 35)/4
Let u = 374585/1206 - 61/603. Factor 243/2*t**4 + 0 + u*t**3 + 18*t - 156*t**2.
3*t*(t + 3)*(9*t - 2)**2/2
Let z = 17/42776375 + 15931627308/14586743875. Let p = -1/775 + z. Solve -14/11*x - 4/11 + 14/11*x**3 + p*x**2 - 8/11*x**4 = 0 for x.
-1, -1/4, 1, 2
Let p be (3/5)/(((-16)/20)/4). Let h be 4 - p*(4 - -2). Factor 3*f**2 - 3 + h*f + 21*f - 43*f.
3*(f - 1)*(f + 1)
Solve -1/2*v**2 + 77/2*v - 213 = 0 for v.
6, 71
Let s(o) be the third derivative of o**7/630 + o**6/90 - o**4/24 + 58*o**3/3 + 163*o**2. Let w(g) be the second derivative of s(g). Factor w(r).
4*r*(r + 2)
Let b = 274 - 274. Suppose b = v + 2*l - 14, 3*v + 0*v + 5*l = 39. Determine j, given that -4/3*j**2 + 4/3*j + v = 0.
-2, 3
Let m(o) be the first derivative of 5*o**3/3 + 2*o**2 + 9*o - 41. Let g(c) = -c**2 - c - 1. Let i(d) = 35*g(d) + 5*m(d). Suppose i(u) = 0. Calculate u.
-2, 1/2
Let r be (-12)/2 - (2 + -4). Let u(q) = -16*q**2 - 66*q - 8. Let o be u(r). Factor -1/3*h**2 + o - 7/3*h.
-h*(h + 7)/3
Let o(h) be the first derivative of 2*h**3/9 - 5*h**2/3 - 24*h + 513. Let o(l) = 0. What is l?
-4, 9
Suppose 30*m - 477 - 63 = 0. Find v, given that -4*v**3 + 24*v**2 - 15*v**5 - m*v**4 + 2*v**5 + 2*v**4 + 9*v**5 = 0.
-3, -2, 0, 1
Suppose -70*g**2 + 209*g**2 - 1966*g - 68*g**2 - 69*g**2 = 0. What is g?
0, 983
Suppose 430/17*v + 228/17 + 174/17*v**2 - 2/17*v**4 - 30/17*v**3 = 0. Calculate v.
-19, -1, 6
Suppose 68 = 3*f + o - 23, 3*f = -5*o + 107. Let k(z) = -24*z + 4*z**2 + 19 - f - 34. Let p(y) = -y**2 + 8*y + 15. Let u(i) = -3*k(i) - 8*p(i). Factor u(x).
-4*(x - 3)*(x + 1)
Let o(a) be the second derivative of -5 + 10*a**3 + 6*a + 5/12*a**4 + 55/2*a**2. Factor o(h).
5*(h + 1)*(h + 11)
Let t = 2801 - 2801. Let d(p) be the third derivative of 4*p**2 + 0*p**3 + t - 1/360*p**5 + 1/144*p**4 + 0*p. What is h in d(h) = 0?
0, 1
Let m be 46/20 - (18/54)/(12/18). Suppose 1/5*o**2 - 8/5*o - m = 0. Calculate o.
-1, 9
Suppose -21 = r + 4*n, 13 + 5 = 2*r - 2*n. Factor 2*z**2 + 0 + 0*z - 2/9*z**4 + 0*z**r.
-2*z**2*(z - 3)*(z + 3)/9
Factor 0 + 248/3*z + 2/3*z**2.
2*z*(z + 124)/3
Let r = -165/1964 + -1367105/3928. Let d = -347 - r. Suppose 0 + d*j**3 + 3/8*j**5 - 3/2*j**4 - 3/2*j + 3/2*j**2 = 0. Calculate j.
-1, 0, 1, 2
Let m(c) be the second derivative of -c**4/36 - 335*c**3/18 + 169*c**2 - 169*c + 3. Determine u, given that m(u) = 0.
-338, 3
Let z(y) be the third derivative of 0 + 0*y + 121/30*y**6 - 43/24*y**4 - 107*y**2 + 1/6*y**3 + 22/3*y**5. Factor z(x).
(x + 1)*(22*x - 1)**2
Let w(b) be the first derivative of 103 + 3/4*b**4 + 0*b**3 - 21/2*b**2 - 18*b. Factor w(f).
3*(f - 3)*(f + 1)*(f + 2)
Let j(d) = -29*d**3 + 1850*d**2 + 14. Let c(l) = -21*l**3 + 1234*l**2 + 10. Let y(u) = 7*c(u) - 5*j(u). Factor y(k).
-2*k**2*(k + 306)
Let h be 3/9 - (-56)/12. Suppose 0*a - 8 = -a + 4*g, -4 = -g. Let -12*v - a*v**4 - 48*v**2 + 12*v + 8*v**h + 16*v + 52*v**3 - 4*v**5 = 0. Calculate v.
0, 1, 2
Suppose 0 = 2*v - y - 1, -3*v - 11 = 8*y - 7*y. Let d be 10 + -11 + 3 + v. Suppose -3/2*r**2 + d - 3*r = 0. What is r?
-2, 0
Let r(f) = f**3 + 5*f**2 - 8*f - 13. Let i be r(-5). What is y in -12*y**4 + 36*y**2 + 2*y**5 + 5*y**5 + 208*y**3 - 214*y**3 - 4*y**5 + i*y = 0?
-1, 0, 3
Let g be 8/20 - (-13)/5. Suppose 12*f - g = 11*f. Factor 15*y**2 + 10*y**2 - 17*y - 57*y**3 - 4*y**4 + 3 + 54*y**f - 4*y**2.
-(y - 1)**2*(y + 3)*(4*y - 1)
Let x = -710921 - -710924. Factor -26/11*t**x + 0 + 24/11*t**2 - 2/11*t**5 - 8/11*t + 12/11*t**4.
-2*t*(t - 2