1)**2/4
Let g(s) = s**2 + 14*s + 2. Let p be g(-14). Let j be (p - 6) + 0 + -2 + 8. Factor -17/3*t - j - 5/3*t**2.
-(t + 3)*(5*t + 2)/3
Let z(o) be the third derivative of -o**6/180 + o**5/45 + o**4/36 - 2*o**3/9 + o**2 + 4129. What is l in z(l) = 0?
-1, 1, 2
Suppose -2*l = -176 + 170. Find u such that -4*u**3 + u + 9*u - 30*u + 5*u - 30*u**2 + 50 - u**l = 0.
-5, -2, 1
Suppose -i - 5*o = -48, -2*i - 268*o = -272*o + 30. Suppose -1 = 3*t - 13. Factor 2*v + 1/2*v**t + 2*v**i + 3*v**2 + 1/2.
(v + 1)**4/2
Let g be -30 - -39 - (8 - -1). Suppose 2*z - 3*i + 2 = g, 13*z - 18*z = -3*i - 4. Factor 3 - 1/4*a**3 - 1/4*a**2 + z*a.
-(a - 3)*(a + 2)**2/4
Let r be 0/2 + 264/88. Solve 20*k**2 + 30*k - 54*k - 31*k**3 - 36*k - 41*k**3 + 77*k**r = 0.
-6, 0, 2
Let z(u) = -17*u**2 - 7*u - 5. Suppose 0 = 2*c + 6, -4*f - 2*c + 1 = 3*c. Let r(t) = 14*t**2 + 8*t + 6. Let m(a) = f*z(a) + 5*r(a). Factor m(d).
2*(d + 1)*(d + 5)
Let g = -758 - -758. Let q be 2/(-8) + (-387)/(-172). Find t such that 0*t**q + 1/6*t**3 + g*t + 0 = 0.
0
Factor 942*u**2 - 45 - 472*u**2 - 472*u**2 - 39 + 46*u.
-2*(u - 21)*(u - 2)
Let k(y) be the third derivative of y**5/30 - 103*y**4/12 + 202*y**3/3 - 1283*y**2. Factor k(n).
2*(n - 101)*(n - 2)
Let b = 462 - 21. Determine l, given that -3*l + b*l**3 - 22*l**2 - 459*l**3 - l = 0.
-1, -2/9, 0
Let x(j) be the second derivative of j**4/6 + 1136*j**3/3 + 322624*j**2 - 4*j - 2037. Solve x(s) = 0 for s.
-568
Suppose -4*t + g + 24509 = 0, -13035 = -2*t - g - 776. Let 0*u**2 - t - 3*u**2 + 6131 = 0. What is u?
-1, 1
Let p be 3/(12/7)*1496/1716. Let s = -1/39 + p. Factor 1/4*r**2 + 9/4 - s*r.
(r - 3)**2/4
Let z(i) be the first derivative of 175*i**6/12 + 12*i**5 - 85*i**4 - 80*i**3 - 20*i**2 - 13004. Solve z(j) = 0 for j.
-2, -2/5, -2/7, 0, 2
Let t(z) be the second derivative of -z**7/14 - 16*z**6/15 - 71*z**5/20 - 29*z**4/6 - 8*z**3/3 - z + 521. Let t(g) = 0. Calculate g.
-8, -1, -2/3, 0
Let d(j) be the first derivative of j**5/130 - j**4/26 - 4*j**3/39 + 46*j + 41. Let y(i) be the first derivative of d(i). Factor y(t).
2*t*(t - 4)*(t + 1)/13
Let o(d) = 113*d**3 + 1128*d**2 - 18*d + 22. Let t be o(-10). Let -5/2*c**t + 0 + 3/2*c**4 - 2*c**3 + c = 0. Calculate c.
-1, 0, 1/3, 2
Let z(s) = -2*s - 6. Let l be z(2). Let d(b) = b + 12. Let n be d(l). Solve 155 - 2*j**2 - 36*j + 0*j**n - 2*j**2 - 187 = 0.
-8, -1
Let g(h) be the first derivative of 1620*h - 30 - 90*h**2 + 5/3*h**3. Factor g(y).
5*(y - 18)**2
Let z(x) be the third derivative of -1/100*x**5 + 2 - 1/40*x**4 + 0*x + 114*x**2 + 1/5*x**3. Solve z(g) = 0 for g.
-2, 1
Suppose -255 = -28*f + 249. Let c(r) be the second derivative of -1/18*r**4 - 5/27*r**3 + 0 - 2/9*r**2 + f*r. Factor c(l).
-2*(l + 1)*(3*l + 2)/9
Let u be ((-2)/(-9) - 7/9)*(-41)/((-1230)/(-144)). Solve u*c**4 - 56*c**2 + 188/3*c - 56/3 + 28/3*c**3 = 0 for c.
-7, 1/2, 1, 2
Let s(b) be the third derivative of 0*b**4 + 0*b - 1/255*b**5 + 27*b**2 + 7/1020*b**6 + 0 + 4/1785*b**7 + 0*b**3. Factor s(y).
2*y**2*(y + 2)*(4*y - 1)/17
Determine q, given that 0 + 2/19*q**2 - 1004/19*q = 0.
0, 502
Let o(w) be the second derivative of -w**5/12 + w**4/72 + 7*w**3/36 + w**2/6 + 12*w - 52. Factor o(m).
-(m - 1)*(2*m + 1)*(5*m + 2)/6
Let s be ((66/(-44))/(0 + (-1 - -4)))/((-825)/990). Factor 31/5*n + s*n**2 - 22/5.
(n + 11)*(3*n - 2)/5
Suppose -1523 = -5*f + 3*l, -343 = -3*f + 4*l + 573. Suppose 3*q**2 + f*q - 154*q - 36 - 147*q = 0. Calculate q.
-4, 3
Suppose 23 = 63*u - 62*u + 5*k, k - 7 = -u. Factor 30*n**2 + 5/3 + 25/3*n**4 + 40/3*n + 80/3*n**u.
5*(n + 1)**3*(5*n + 1)/3
What is r in -27/2*r**4 + 1/2*r**5 - 161*r**3 + 1548*r - 1296 - 78*r**2 = 0?
-6, 1, 2, 36
Let p = 260999/3 - 86999. Factor 0*f**3 + 2/3*f**4 - 4/3*f**2 + 0*f + p.
2*(f - 1)**2*(f + 1)**2/3
Let m(t) be the third derivative of -1/60*t**5 + 0*t + 3 + 0*t**3 + 1/24*t**4 - 9*t**2. Factor m(c).
-c*(c - 1)
Suppose k - 52 = -25*n, 0 = k - 1335*n + 1331*n + 6. Factor 4/7*i**k - 24/7*i + 0.
4*i*(i - 6)/7
Let p(u) be the third derivative of -1/7*u**4 + 0*u**3 + 1/420*u**6 + 10*u + 0 + 4*u**2 + 1/210*u**5. Solve p(d) = 0.
-4, 0, 3
Let c = 13193 - 13193. Factor 2/3*y**3 + 0 + 4/3*y**2 + c*y.
2*y**2*(y + 2)/3
Factor 82101*o**4 - 10890 + 5105*o**2 - 325*o**3 + 82102*o**4 - 164198*o**4 + 6105*o.
5*(o - 33)**2*(o - 1)*(o + 2)
Let m(s) = -s**2 + 6*s - 6. Let y(n) = n**3 + 852*n**2 + 184932*n + 366332. Let o(r) = 6*m(r) - y(r). Suppose o(v) = 0. What is v?
-428, -2
Let b be 4/(-100)*-35*((-16)/(-28) + 6700/525). Factor b - 1/3*d**2 + 26/3*d.
-(d - 28)*(d + 2)/3
Let t(l) = 9*l**2 - 36*l - 30. Let o(r) = 2*r**2 - 9*r - 8. Suppose y - 11 + 26 = 0. Let a(w) = y*o(w) + 4*t(w). Suppose a(f) = 0. What is f?
0, 3/2
Suppose 144/11*i**3 + 1072/11*i - 2/11*i**4 + 756/11*i**2 + 42 = 0. What is i?
-3, -1, 77
Let j = 18 - 14. What is w in -318*w - 2*w**2 + 2*w**j + 318*w = 0?
-1, 0, 1
Let m(t) be the third derivative of 1/315*t**7 + 7*t + 1/504*t**8 - t**2 + 0 - 1/90*t**5 + 0*t**4 - 1/180*t**6 + 0*t**3. Factor m(p).
2*p**2*(p - 1)*(p + 1)**2/3
Let 4/7*i**2 - 244/7*i - 248/7 = 0. What is i?
-1, 62
Factor -3/2*q**2 - 831/2*q - 1233.
-3*(q + 3)*(q + 274)/2
Solve 0 - 6/7*c**3 - 3/7*c**5 - 60/7*c**2 + 72/7*c + 15/7*c**4 = 0 for c.
-2, 0, 2, 3
Let m(s) be the second derivative of -3*s**5/20 + 1185*s**4/4 - 468075*s**3/2 + 184889625*s**2/2 + s - 270. Factor m(y).
-3*(y - 395)**3
What is i in -285*i + 282 - 1221986*i**4 - 260*i**2 - 19*i**2 + 285*i**3 + 1221983*i**4 = 0?
-1, 1, 94
Let y = 25724 + -231512/9. Let w(m) be the first derivative of 4/3*m + 5/3*m**2 + y*m**6 - 8/9*m**3 - 11/6*m**4 + 30 + 8/15*m**5. Determine r so that w(r) = 0.
-2, -1/2, 1
Let -8*k**2 - 3*k**2 - 150*k - 110*k + k**2 + 14*k**2 + 256 = 0. What is k?
1, 64
Let m = -6416957/53989 + 44/4153. Let k = m + 119. Factor 16/13*o - 32/13 - k*o**2.
-2*(o - 4)**2/13
Let c(o) be the second derivative of -1 + 0*o**2 - 1/6*o**3 + 1/42*o**7 + 0*o**5 + 1/15*o**6 + 3*o - 1/6*o**4. Suppose c(z) = 0. What is z?
-1, 0, 1
Let q = 151285/2 + -75642. Suppose 0*i**2 - q*i**3 - 1/6*i**4 + 0 + 2/3*i = 0. What is i?
-2, 0, 1
Suppose 3*n = -p - 0*n + 6980, 3*p + n = 20972. Let o = -3922 + p. Find y such that 36*y - 3046 + o - 8*y + 8*y**2 = 0.
-2, -3/2
Let v(w) be the first derivative of -w**4/28 + 31*w**3/21 - 132*w**2/7 + 684*w/7 + 629. Factor v(b).
-(b - 19)*(b - 6)**2/7
Let h be (1104/(-18))/(-23)*(-9)/(-6). Let u(d) be the second derivative of -1/14*d**3 + 0*d**2 + 11*d + 1/28*d**h + 3/140*d**5 - 1/70*d**6 + 0. Factor u(y).
-3*y*(y - 1)**2*(y + 1)/7
Determine d so that 471 - 20796*d + 1929 + 10420*d + 5*d**2 + 10606*d = 0.
-30, -16
Let j(l) be the second derivative of 5*l**7/84 + 16*l**6/15 + 18*l**5/25 - 754*l**4/15 - 1204*l**3/15 - 48*l**2 - 1465*l + 5. Let j(n) = 0. Calculate n.
-10, -6, -2/5, 4
Let i(d) = -11*d**5 - 14*d**4 - 36*d**3 + 186*d**2 + 10*d. Let n(k) = -k**5 + k**4 + k**2 + k. Let f(v) = -i(v) + 10*n(v). Factor f(u).
u**2*(u - 2)*(u + 4)*(u + 22)
Let n(d) = -8*d**2 - 5*d + 16. Let k be n(1). Let v(t) be the second derivative of 7*t - 1/2*t**2 + 7/24*t**4 + 5/12*t**k + 0. Factor v(a).
(a + 1)*(7*a - 2)/2
Let h be -2*(-1298)/(-6545) + (-2)/17. Let o = h - -32/35. Factor 2/5*y + 6/5*y**3 + 6/5*y**2 + o*y**4 + 0.
2*y*(y + 1)**3/5
Let x(r) = 10*r - 88. Let b be x(9). Solve 24*s**b + s**3 - 26*s**4 + 23*s**4 - 3*s**4 + 7*s**3 - 2*s**5 = 0 for s.
-3, -2, 0, 2
Let p(d) be the first derivative of -d**9/2268 + d**8/1260 + d**7/630 - d**6/270 - 17*d**3/3 - 106. Let r(i) be the third derivative of p(i). Factor r(b).
-4*b**2*(b - 1)**2*(b + 1)/3
Let t(u) = -460*u**2 - 455*u + 5. Let b(y) = y**3 - 229*y**2 - 228*y + 2. Let i(r) = -5*b(r) + 2*t(r). Factor i(z).
-5*z*(z - 46)*(z + 1)
Let l = 10 + -5. Suppose 3 = q, 2*n - 4*q + l = 1. Factor 30 - n*t**2 + 25*t - 2*t**2 + t**2.
-5*(t - 6)*(t + 1)
Let q = 739567/7 + -105652. Let -6/7*s - q*s**4 + 0*s**3 + 9/7*s**2 + 0 = 0. Calculate s.
-2, 0, 1
Let q(i) = i**2 - 42*i - 135. Let m be q(45). Let x = 100/3 - 1094/33. Suppose m + x*b**2 - 8/11*b = 0. Calculate b.
0, 4
Let d(q) = -7*q**2 + 132*q - 405. Let a be d(15). Suppose a + 6/11*m**4 + 210/11*m**2 + 294/11*m - 78/11*m**3 = 0. Calculate m.
-1, 0, 7
Let j(o) be the second derivative of -o**6/6 - 7*o**5/4 + 15*o**4/4 + 35*o**3/6 - 20*o**2 - 2399*o. Determine u so that j(u) = 