n**3 - 1/6*n**6 - 5*n + 1/2*n**5 - u*n**4. Let j(b) = 0. Calculate b.
0, 1
Let y(u) be the third derivative of -u**7/1155 + u**6/60 - 29*u**5/330 - u**4/12 + 10*u**3/11 - 98*u**2 - 2*u + 1. What is k in y(k) = 0?
-1, 1, 5, 6
Let g = -987091 + 987094. Factor 53/8*b + 1/8*b**g + 7/2*b**2 + 13/4.
(b + 1)**2*(b + 26)/8
Let d(g) = -13*g**3 - 276*g**2 + 4404*g + 309760. Let c(n) = 2*n**3 - n**2 - n. Let f(q) = -4*c(q) - d(q). Solve f(s) = 0.
-44, 32
Suppose -18 = 38*x - 47*x. Suppose -5*h = 88 - 368. What is d in 2*d**3 + 60*d - 4*d**3 + 6*d**3 - 8*d**x - h*d = 0?
0, 1
Let r(o) = -10*o - 96. Let q be r(-6). Let y be ((-16)/q)/((-9)/(-108)). Solve 22/3*w**4 + 0 + 8/3*w**2 - y*w + 12*w**3 + 4/3*w**5 = 0.
-2, 0, 1/2
Let x = -5066/109 - -25439/545. Factor -2/5*f**2 + 1/5*f**4 - x*f**3 + 0*f + 0.
f**2*(f - 2)*(f + 1)/5
Determine h so that -19/4*h**3 + 0 + 598*h**2 + 63*h = 0.
-2/19, 0, 126
Let w(p) be the first derivative of -p**3/21 + 192*p**2/7 - 764*p/7 + 2095. Factor w(y).
-(y - 382)*(y - 2)/7
Let x be 8/14 - (148104/(-29127))/(-8). Let a = 3/73 - x. Factor 0*l**2 - 4/19 - a*l**3 + 6/19*l.
-2*(l - 1)**2*(l + 2)/19
Let l be 1 + -1 - -2 - 5. Let g be 3/(-2 - l)*(-8)/(-36). Suppose 0 - 4/9*w - 2/9*w**4 + 0*w**3 + g*w**2 = 0. Calculate w.
-2, 0, 1
Factor -25 + 45*m + 829213*m**4 + 8*m**2 - 829198*m**4 + 5*m**5 + 2*m**2 - 50*m**3.
5*(m - 1)**3*(m + 1)*(m + 5)
Let y(z) be the first derivative of -3*z**4/16 - 3*z**3/2 - 27*z**2/8 - 65. Factor y(c).
-3*c*(c + 3)**2/4
Suppose 7*b - 367 = -283. Let m(n) = -15*n**3 - 15*n**2 - 12*n. Let d(f) = 6*f**3 + 6*f**2 + 5*f. Let x(w) = b*d(w) + 5*m(w). Factor x(s).
-3*s**2*(s + 1)
Let l(z) be the second derivative of -z**4/84 - 13*z**3/21 - 7214*z. Find k, given that l(k) = 0.
-26, 0
Let h(o) = -2*o**2 + 74*o + 236. Let z(q) = 3*q**2 - 78*q - 237. Let i(g) = 6*h(g) + 5*z(g). What is d in i(d) = 0?
-11, -7
Suppose -5*q + 4*q - 4*i = 14, 16 = 4*q - 2*i. Let s = 318381/2 - 159189. Factor 3/2 - 3/2*r**q + 3/2*r**3 - s*r.
3*(r - 1)**2*(r + 1)/2
Let b(a) be the first derivative of -a**4/18 + 16*a**3/27 + 155*a**2/9 + 100*a - 2003. Suppose b(w) = 0. What is w?
-5, 18
Let m(n) = 11*n**3 - 633*n**2 + 51198*n + 51824. Let v(k) = k**3 + k**2 - 2. Let f(y) = -m(y) + 9*v(y). What is o in f(o) = 0?
-1, 161
Let a(z) be the third derivative of z**6/30 + 12*z**5/5 + 23*z**4/2 + 68*z**3/3 + 102*z**2. Factor a(t).
4*(t + 1)**2*(t + 34)
Let i(f) be the first derivative of 3*f**4/4 + 58*f**3 - 2048. Let i(s) = 0. Calculate s.
-58, 0
Suppose 0 = u - 5*p, -p = 5*u + 3*p. Let a = 97358 + -292073/3. Factor -a*z**2 + u*z + 0.
-z**2/3
Determine g, given that 0 - 8/7*g - 24/7*g**2 - 2/7*g**5 - 26/7*g**3 - 12/7*g**4 = 0.
-2, -1, 0
Let p(z) be the second derivative of 49*z**5/5 + 4823*z**4/3 - 5536*z**3/3 + 792*z**2 - 10*z - 35. Determine x, given that p(x) = 0.
-99, 2/7
Let f(d) be the first derivative of -d**4/3 + 4*d**3/3 + 30*d**2 - 42*d - 6. Let n(j) be the first derivative of f(j). Let n(p) = 0. What is p?
-3, 5
Let m(b) be the second derivative of -b**6/25 - 423*b**5/100 - 52*b**4/5 - 69*b**3/10 + 600*b. Suppose m(i) = 0. What is i?
-69, -1, -1/2, 0
Solve 4*t**3 + 304925*t**5 + 25*t - 95*t**2 - 304905*t**5 + 95*t**4 - 49*t**3 = 0 for t.
-5, -1, 0, 1/4, 1
Let b be (8/3)/(-4)*(-36)/84. Suppose -5*g + 13 = 3. Find j, given that 0*j**g + b*j**3 + 2/7*j**4 + 0*j + 0 = 0.
-1, 0
Let n(q) be the second derivative of q**6/2700 - q**5/450 - q**3/2 - 7*q**2/2 + 4*q - 3. Let v(y) be the second derivative of n(y). Factor v(r).
2*r*(r - 2)/15
Let s(l) be the third derivative of l**8/196 - 64*l**7/735 - 13*l**6/30 - 4*l**5/105 + 26*l**4/21 - 80*l**2 - 22*l + 1. Determine a, given that s(a) = 0.
-2, -1, 0, 2/3, 13
Suppose -7*r = -10*r + 12. Suppose -5*k = -3*l - 14, 17 + 1 = 2*k + 5*l. Suppose -8*u**3 + 4*u**4 + 3*u**r - 4 + 8*u + 4*u**k - 7*u**4 = 0. What is u?
-1, 1
Let z(d) = -d**5 - 4*d**4 + 0*d - 3*d**3 - 22*d - 3 + 25*d. Let c(w) = -12*w**5 - 44*w**4 - 32*w**3 + 34*w - 34. Let h(b) = 6*c(b) - 68*z(b). Factor h(v).
-4*v**3*(v - 3)*(v + 1)
Let o(u) be the second derivative of 5*u**7/42 + 8*u**6/3 + 53*u**5/4 + 155*u**4/6 + 20*u**3 + 2021*u. Suppose o(q) = 0. Calculate q.
-12, -2, -1, 0
Let d(q) = -q**3 - 45*q**2 + 48*q + 100. Suppose -4*c + 71 - 267 = -4*a, 0 = 4*c + 3*a + 175. Let r be d(c). Factor r + 4*n + 1/2*n**3 - 7/2*n**2.
(n - 4)**2*(n + 1)/2
Let h = 964 - 863. Find p such that 15*p**5 - 24*p**3 + 12*p**2 + 196*p**4 - h*p**4 - 116*p**4 = 0.
-1, 0, 2/5, 2
Let w be (-1 - 12/28)/((-12)/(-168)). Let a be (-63)/w + (-679)/388. Factor -6/5 - 1/5*t**2 + a*t.
-(t - 6)*(t - 1)/5
Find y, given that 60/11*y**3 + 2592/11*y**2 + 4374/11*y - 2/11*y**5 - 32/11*y**4 - 34992/11 = 0.
-9, 3, 8
Let f = -26 - -334/11. Let v = -46/11 + f. Factor -72/11*h**2 + 0 + 0*h - v*h**4 - 24/11*h**3.
-2*h**2*(h + 6)**2/11
Factor 245/3*r + 250/3 - 5/3*r**2.
-5*(r - 50)*(r + 1)/3
Let n(p) = -p**3 - 12*p - 4. Let j(g) = 28*g + 8*g + 2*g**3 - 326*g**2 + 326*g**2 + 11. Let u(h) = 4*j(h) + 11*n(h). Solve u(b) = 0 for b.
-2, 0, 2
Let b(u) be the first derivative of u**6/4320 - u**5/1440 - u**4/48 - 4*u**3/3 - 8*u + 193. Let f(i) be the third derivative of b(i). Factor f(q).
(q - 3)*(q + 2)/12
Let c be 800/(-70)*(-35)/10. Let f be (c/10)/((-8)/(-6)). What is t in -2/9*t**4 + 4/3*t - 4/3*t**f - 16/9*t**2 + 2 = 0?
-3, -1, 1
Let o(j) be the third derivative of -7*j**5/12 + 825*j**4/8 + 355*j**3/3 + 7493*j**2. Let o(f) = 0. Calculate f.
-2/7, 71
Let g = 162077 - 162074. Determine s so that -150 - 140*s - 1/6*s**g + 59/6*s**2 = 0.
-1, 30
Suppose 1671*t + 874 = 1673*t. Let z = t - 2181/5. Factor 14/5*r**2 + z - 18/5*r.
2*(r - 1)*(7*r - 2)/5
Let o be (2/12)/(20/1080). Factor 40 - 5*y**3 - o*y**2 + 120 + 30*y**2 + y**3 + 3*y**2 + 144*y.
-4*(y - 10)*(y + 2)**2
Let b(f) be the second derivative of f**6/225 - 7*f**5/25 + 4*f**4/3 - 118*f**3/45 + 13*f**2/5 + 574*f + 1. Find u, given that b(u) = 0.
1, 39
Let p(m) = -22*m**2 - 252*m - 36. Let l be 1 + -8 + 5/((-15)/(-6)). Let a(b) = -9*b**2 - 101*b - 15. Let r(u) = l*p(u) + 12*a(u). Factor r(k).
2*k*(k + 24)
Suppose 101 = 9*x - 7. Factor 122 - 3*k**2 - 72*k + x + 9 + 13.
-3*(k - 2)*(k + 26)
Let u(r) = -4*r**4 + 1882*r**3 - 215322*r**2 + 13. Let g(p) = p**4 - 470*p**3 + 53830*p**2 - 3. Let v(i) = -26*g(i) - 6*u(i). What is q in v(q) = 0?
0, 232
Let b(w) be the second derivative of w**6/150 + 73*w**5/100 - 183*w**4/20 + 175*w**3/6 - 40*w**2 + 754*w - 3. Factor b(f).
(f - 5)*(f - 1)**2*(f + 80)/5
Let u = 11065 + -4968. Let -4707 - 5554 + 2486 - u - 408*b - 3*b**2 = 0. What is b?
-68
Suppose s + 3*a = 24, 5*s - 13 = 4*a + 31. Determine c so that 74*c - 2*c**3 + 6*c**3 - s - 20*c**2 - 46*c = 0.
1, 3
Let y be 105/(-63)*12/(-8) - -5. Let a(n) be the third derivative of 0*n + 0 - 34*n**2 + 3/4*n**5 + 5/24*n**4 - 1/24*n**6 - y*n**3. Find j, given that a(j) = 0.
-1, 1, 9
Let l(x) be the third derivative of x**5/330 - 19*x**4 + 47652*x**3 - 3*x**2 + 4*x + 30. Factor l(m).
2*(m - 1254)**2/11
Suppose s + i - 6*i = 5, 10 = 2*s - 4*i. Suppose -8*r**s + 57*r**4 + 1584*r**3 - 197*r**4 - 6912*r + 12*r**5 - 5184*r**2 = 0. Calculate r.
-1, 0, 12
Let m(t) be the first derivative of t**3/3 + 1194*t**2 + 1425636*t + 1580. Suppose m(g) = 0. Calculate g.
-1194
Suppose -1242*t + 1062*t - 2163*t + 13838 - 2123 = 0. Suppose 10*d**2 - 12*d - 1/2*d**5 - 16 + t*d**3 - 3/2*d**4 = 0. What is d?
-4, -2, -1, 2
Factor -1200*p - 224*p**2 - 29*p**2 - 5*p**4 + 1110*p - 100*p**3 + 68*p**2.
-5*p*(p + 1)**2*(p + 18)
Let c be 8 + ((-36)/(-15))/((-114)/285). Suppose 10 + 2/5*y**c + 4*y = 0. Calculate y.
-5
Determine j so that 681210 + 5/2*j**2 + 2610*j = 0.
-522
Let j(x) be the third derivative of -x**7/210 - 3*x**6/40 + x**5/6 - 308*x**2. Factor j(h).
-h**2*(h - 1)*(h + 10)
Let p(b) be the third derivative of 0 + 3/70*b**5 + 19/14*b**4 + 361/21*b**3 + 2*b**2 - 58*b. Factor p(m).
2*(3*m + 19)**2/7
Let v be 1 + (-9)/7 - (-1596)/(-588). Let d(u) = -3*u**2 + 19*u - 38. Let m(t) = 5*t**2 - 19*t + 36. Let f(r) = v*d(r) - 2*m(r). What is w in f(w) = 0?
-21, 2
Let m(u) be the first derivative of -u**4/48 - 83*u**3/36 - 44*u**2 + 2496*u + 12535. Let m(l) = 0. Calculate l.
-48, 13
Let b = 3427 - 3423. Let o(p) be the second derivative of -13*p + 1/5*p**5 - 4/3*p**3 + 5/6*p**b - 3*p**2 + 0. Factor 