*3/12 + 717*b**2/4 - 684*b + 2. Let s(y) = 0. What is y?
-1, 1, 717
Factor 0 - 1/5*k**4 - 28/5*k**3 + 124/5*k + 97/5*k**2.
-k*(k - 4)*(k + 1)*(k + 31)/5
Let y(n) = 59*n**2 - 1505*n + 1556. Let g(f) = 11*f**2 - 302*f + 311. Let j(r) = -11*g(r) + 2*y(r). Factor j(v).
-3*(v - 103)*(v - 1)
Let s(x) be the second derivative of -x**5/140 + 31*x**4/28 - 45*x**3/7 + 69*x - 3. Suppose s(g) = 0. What is g?
0, 3, 90
Let l be (-3)/(18/(-32)) + 1*(-248)/62. Factor 2/3*y**2 - 1 + 4/3*y - l*y**3 + 1/3*y**4.
(y - 3)*(y - 1)**2*(y + 1)/3
Let q = 346/1773 - -451466/12411. Factor -388/7*o**2 - q + 576/7*o + 72/7*o**3 - 4/7*o**4.
-4*(o - 8)**2*(o - 1)**2/7
Let b(j) = -6*j**2 - 93*j - 17. Let o be b(-16). Let w be o/234*(-42)/20. Determine i so that -7/12*i**4 + w*i**2 - 1/6*i**3 + 0 + 1/6*i = 0.
-1, -2/7, 0, 1
Let u be (-1)/(64/4 + 33/(-2)). Factor 46/5*n**u + 572/5*n + 968/5 + 1/5*n**3.
(n + 2)*(n + 22)**2/5
Let c(t) be the third derivative of -t**5/480 - t**4/64 + 135*t**3/8 + 72*t**2 - 9*t - 2. Determine w so that c(w) = 0.
-30, 27
Suppose -1701/8*y + 0 + 3/8*y**4 - 1107/8*y**2 - 171/8*y**3 = 0. Calculate y.
-3, 0, 63
Determine w, given that 3/2*w**4 + 0*w + 290400*w**2 + 0 - 1320*w**3 = 0.
0, 440
Let q be (3/9 - 1)/(4/(-18)). Factor 70 - 345*n + 462*n**2 - 207*n**2 - 28*n**q + 48*n**3.
5*(n - 1)*(n + 14)*(4*n - 1)
Factor 0*s**2 - 104/19*s + 192/19 + 2/19*s**3.
2*(s - 6)*(s - 2)*(s + 8)/19
Let z(u) be the second derivative of u**6/10 - 63*u**5/20 + 30*u**4 - 104*u**3 - 6*u + 73. Factor z(g).
3*g*(g - 13)*(g - 4)**2
Suppose -2892/5*m - 3*m**3 + 192 + 1236/5*m**2 = 0. What is m?
2/5, 2, 80
Let x(a) = a**3 - 21*a**2 - 13*a - 757. Let i be x(23). Let m(c) be the first derivative of -7/2*c**i + 3*c + 24 + 2/3*c**3. Find f such that m(f) = 0.
1/2, 3
Let n(g) be the second derivative of g**6/120 + g**5 + 50*g**4 - g**3/3 + 25*g**2 + 244*g. Let s(x) be the second derivative of n(x). Factor s(m).
3*(m + 20)**2
Let m = -455522/5 - -91105. Factor -1/5*r**2 - 2/5 + m*r.
-(r - 2)*(r - 1)/5
Let f(c) be the second derivative of 2/3*c**3 - 3/2*c**2 + 4 + 7*c - 1/12*c**4. Factor f(p).
-(p - 3)*(p - 1)
Factor -1241/3 + 414*q - 1/3*q**2.
-(q - 1241)*(q - 1)/3
Let s(o) be the first derivative of -2*o**3/3 + 3*o**2 + 1736*o + 11075. Determine m, given that s(m) = 0.
-28, 31
Factor -15625/3 - 2500*o - 1/3*o**4 - 1150/3*o**2 - 20*o**3.
-(o + 5)**2*(o + 25)**2/3
Suppose -3*r + 360 = -0*f - f, f - 4*r + 360 = 0. Let g be ((-304)/f)/((-3)/(-15)) + -4. Factor -8/9 - 8/3*w - 4/3*w**3 - g*w**4 - 26/9*w**2.
-2*(w + 1)**2*(w + 2)**2/9
Suppose -4*m = 3*s - 37, -3*s - m - 24 = -40. Find h, given that 9/2*h + 1 - 3/2*h**4 + 9/2*h**2 - 1/2*h**s = 0.
-1, -1/3, 2
Let o = -49 - -27. Let b = -20 - o. Factor -2 + 5*u - u + 4 - u + u**b.
(u + 1)*(u + 2)
Determine a so that 1667 - 26*a + 50*a**3 - 227 + 693*a - 880*a**2 + 233*a - 15*a**3 = 0.
-6/7, 2, 24
Solve -14389 + 1179800*m**2 - 6972 + 504*m - 1179803*m**2 + 193 = 0.
84
Factor 40*x**2 - 52*x**2 - 78*x - 3*x**3 + 56*x**2 + x**2.
-3*x*(x - 13)*(x - 2)
Let g(u) be the first derivative of 10*u**5 - 128*u**4 - 1036*u**2 - 6*u**4 + 392*u + 1006*u**3 - 51*u**4 - 287. Factor g(b).
2*(b - 7)**2*(5*b - 2)**2
Let r = -10018 - -19157/2. Let s = r - -441. Let 0 + s*t**3 + 0*t**2 + 0*t = 0. What is t?
0
Suppose -24*w - 111945 = -27*w. Determine z, given that -w + 2*z**3 - 252*z**2 - 55255 + 10584*z + 12498 - 68104 = 0.
42
Let m(h) be the second derivative of -h**7/189 + 91*h**6/135 - 257*h**5/9 + 11227*h**4/27 - 16471*h**3/9 - 8281*h**2 + 2*h + 1644. Suppose m(b) = 0. What is b?
-1, 7, 39
Suppose 219*y + 58 = 2*b + 216*y, -4*b + 2*y = -44. Let 0 + 1/2*s**3 + 0*s - 3/2*s**b = 0. Calculate s.
0, 3
Suppose 6*d = 2*d + 96. Suppose -7*s - 10 = -d. Let -18*w**3 + 3*w**s - 3*w**3 + 33*w**2 - 7*w**3 - 8*w = 0. What is w?
0, 2/7, 1
Let r(k) be the second derivative of -7/30*k**5 + 160/9*k**4 - 1058/3*k**2 - 3611/9*k**3 + 0 + 217*k. What is w in r(w) = 0?
-2/7, 23
Factor -1/2*v**2 + 2*v - 3/2.
-(v - 3)*(v - 1)/2
Let j be 0*(-1)/(-15)*(3 + (-13)/4). Find u, given that 1/3*u**2 + 0 + j*u = 0.
0
Let d(l) be the first derivative of -25*l**3 - 3/4*l**4 - 429/2*l**2 + 507*l - 66. Factor d(m).
-3*(m - 1)*(m + 13)**2
Let 80/13 + 2/13*l**3 + 88/13*l + 28/13*l**2 = 0. Calculate l.
-10, -2
Factor 143*t + 29128312*t**3 - 29128317*t**3 + 100*t**2 + 192*t + 230.
-5*(t - 23)*(t + 1)*(t + 2)
Suppose 2324*m - 57745 + 1969 = 0. Factor 2/3*a**4 + m*a**2 - 28/3*a**3 - 576 + 144*a.
2*(a - 6)**3*(a + 4)/3
Let z be ((-6)/(-32))/((-810)/36*(-3)/6). Let t(b) be the third derivative of 0*b + 10*b**2 + 0*b**4 + 0 - 2/15*b**5 + 0*b**3 + z*b**6. Factor t(u).
2*u**2*(u - 4)
Let m(i) = 5*i - 34. Let y be m(7). Let o be y - (0 + -3 + 1). Factor 4*t**2 - 12*t + 9*t**2 + 2*t**2 - t**o - 2*t**3.
-3*t*(t - 4)*(t - 1)
Determine m so that 0*m - 14*m**3 + 0 + 2/3*m**5 - 6*m**4 - 22/3*m**2 = 0.
-1, 0, 11
Let h(a) be the third derivative of a**6/240 + 61*a**5/120 - a**4/12 - 61*a**3/3 - 2*a**2 - 500*a + 2. Factor h(x).
(x - 2)*(x + 2)*(x + 61)/2
Let x(q) be the second derivative of q**6/60 + 63*q**5/40 + 99*q**4/8 + 409*q**3/12 + 87*q**2/2 - 726*q + 2. Factor x(j).
(j + 1)**2*(j + 3)*(j + 58)/2
Let d(o) be the third derivative of -o**8/56 - o**7/350 + o**6/10 + o**5/50 - o**4/4 - o**3/10 - 2*o**2 - 607*o - 2. Determine p so that d(p) = 0.
-1, -1/10, 1
Determine d so that 18*d**2 - 14*d - 16*d**2 - 18 + 30*d = 0.
-9, 1
Determine f, given that -20*f**2 + 272/11 - 52/11*f**4 - 320/11*f**3 - 2/11*f**5 + 322/11*f = 0.
-17, -8, -1, 1
Let p(y) be the first derivative of -2*y**5/5 - 37*y**4 + 154*y**3/3 + 150*y**2 + 769. Let p(c) = 0. What is c?
-75, -1, 0, 2
Let z(a) = 10*a**2 + 6015*a - 6010. Let j(d) = 15*d**2 + 9023*d - 9014. Let k(y) = 5*j(y) - 8*z(y). Find h, given that k(h) = 0.
-602, 1
Let v = 34282/5 + -6856. Find b, given that -2*b**4 + v*b**5 - 8/5*b**2 + 0*b + 0 + 16/5*b**3 = 0.
0, 1, 2
Let t(w) = w**3 + 3*w**2 - w - 2. Let f be t(-2). Suppose 3*d = -f*v + 9, -3*v - 1 = -4*d + 11. Factor -8*m**d - 4*m**3 + 3*m**3 - 10*m**2 + 5*m - 6*m**3.
-5*m*(m + 1)*(3*m - 1)
Let s(a) be the first derivative of -2/15*a**5 - 7*a**4 + 0*a**2 + 0*a - 222 - 98*a**3. Solve s(p) = 0 for p.
-21, 0
Determine f so that 1610*f**4 + 1032/5 - 196/5*f**5 - 5528/5*f + 16224/5*f**3 + 1418/5*f**2 = 0.
-3/2, -1, 2/7, 43
Let i(y) be the third derivative of -1/15*y**5 + 0*y**3 + 2*y**2 - 1/672*y**8 - 1/20*y**6 - 1/70*y**7 + 0*y + 0*y**4 + 9. Find s, given that i(s) = 0.
-2, 0
Let p be (-11 + -2 - 0) + 268*(-1)/(-20). Suppose 4*x = n + 4, -n = -4*n - 5*x + 5. What is l in n*l - p*l**3 + 0 + 4/5*l**2 = 0?
0, 2
Factor 0 + 55*i**2 + 7/2*i.
i*(110*i + 7)/2
Factor 192 - 68/9*x**2 + 32/3*x + 4/9*x**3.
4*(x - 12)*(x - 9)*(x + 4)/9
Let b(d) be the first derivative of 192*d**3 - 9/4*d**6 + 114/5*d**5 - 38 + 96*d - 204*d**2 - 93*d**4. Factor b(g).
-3*(g - 2)**4*(9*g - 4)/2
Factor 1/3*f**2 + 22*f + 363.
(f + 33)**2/3
Let z(b) = -2*b**2 + 4*b - 2. Let l(q) = 40*q**2 - 950*q - 98. Let t(i) = -l(i) - z(i). Factor t(r).
-2*(r - 25)*(19*r + 2)
Let v(j) be the third derivative of -j**8/84 - 2*j**7/35 + j**6/2 - 17*j**5/15 + j**4 - 107*j**2. Let v(n) = 0. Calculate n.
-6, 0, 1
Suppose 0 = 3*c - 15*u - 111, 0 = -39*c + 37*c - 5*u - 31. What is z in -15*z**4 - 121/5*z**c - 7/5*z**5 - 167/5*z**3 - 6/5*z + 16/5 = 0?
-8, -1, 2/7
Let 30*n**3 + 54*n**4 - 158*n**4 + 360 + 64*n**4 + 49*n**4 - 177*n**2 - 438*n = 0. What is n?
-5, -3, 2/3, 4
Suppose 55*c = 49*c - 5016. Let v = c + 836. Let 0*i**2 + v*i - 2/21*i**3 + 0 - 2/21*i**4 = 0. What is i?
-1, 0
Let b(s) be the second derivative of -s**5/60 - 5*s**4/2 - 150*s**3 + 37*s**2/2 - s - 39. Let f(c) be the first derivative of b(c). Find u, given that f(u) = 0.
-30
Let m(c) = 13*c**2 + 319*c - 284. Let h(z) = 29*z**2 + 638*z - 559. Let t(g) = 4*h(g) - 9*m(g). Solve t(b) = 0 for b.
-320, 1
Solve -2/15*v**2 + 3044/15*v - 1014/5 = 0 for v.
1, 1521
Let g(v) be the third derivative of -v**5/60 - 319*v**4/24 - 53*v**3 + 998*v**2. Solve g(c) = 0 for c.
-318, -1
Let r be (-368)/45 - -1 - (-15 + 11). Let m = r + 17/5. Let -m*y - 4/3 + 2/9*y**2 = 0. Calculate y.
-2, 3
Let t = -45391 + 45393. Solve 2/5*s**3 - 22/5*s - 8/5*s**t - 12/5 = 0 for s.
-1, 6
Let x(q) be the third derivative of q**5/10 + 89*q**4/6 - 7925*q**3/3 + 212*q