 -94*i - 52. Let z be a(3). Let v = z + 340. Factor -6 - 3/2*p**2 + v*p.
-3*(p - 2)**2/2
Factor 7/4*x**3 + 0*x - 3/2*x**4 + 0*x**2 + 0 - 1/4*x**5.
-x**3*(x - 1)*(x + 7)/4
Suppose 4*y - 2*q = 164, 3*q = -5*y + 90 + 115. Let a = 41 - y. Factor 1/2*m**2 + 0*m + a - 1/2*m**3.
-m**2*(m - 1)/2
Suppose -1 = b + 3*c, 2*b + 3*c - 7*c = 8. Suppose 0 = -5*r - b*r + 2268. Let -72*u - 19*u**2 + 17*u**2 + r + 6*u**2 = 0. Calculate u.
9
Let q(x) = -x**2 + 18*x - 51. Let p be q(6). Let f be (12/(-56))/((-18)/p). Let 3/4 - f*d**4 + 0*d**3 + 3/2*d**2 + 2*d = 0. What is d?
-1, 3
Suppose 38 = 8*c - 58. Factor 11*q - 28*q**2 + 7 - 7 + c*q**3 - 3*q.
4*q*(q - 2)*(3*q - 1)
Factor 0 - 249/2*j - 1/4*j**2.
-j*(j + 498)/4
Let k(c) be the first derivative of 0*c + 1/2*c**4 + 46 + 2/3*c**3 + 0*c**2. Factor k(j).
2*j**2*(j + 1)
Let t be (1*((-3 - 10) + 13))/((-6)/(12/14)). Factor 204/5*m - 294/5*m**2 + t + 84/5*m**3 + 6/5*m**4.
6*m*(m - 2)*(m - 1)*(m + 17)/5
Let c(m) be the second derivative of -m**4/16 + 69*m**3 - 6843*m. Factor c(y).
-3*y*(y - 552)/4
Let y be (-1)/((-247)/(-209)) - -1. Factor 4/13 - 6/13*r + y*r**2.
2*(r - 2)*(r - 1)/13
Let c(x) be the second derivative of -x**7/630 - 2*x**6/15 - 7*x**3 - 4*x. Let l(y) be the second derivative of c(y). What is k in l(k) = 0?
-36, 0
Let g(d) be the first derivative of 8/7*d**2 - 132 + 0*d + 1/7*d**4 + 16/21*d**3. Factor g(w).
4*w*(w + 2)**2/7
Suppose 4*s = -5*w + 215, -2*s - 3*s = w - 64. Let i be 1 + (w/18 - (-4)/(-24)). Factor -68*y**4 - 2 + 66*y**4 + 7*y + 4 - 3*y - 4*y**i.
-2*(y - 1)*(y + 1)**3
Let s be (-8)/14 + 26*2478/5733. Solve -28/3*x - 4/3*x**2 + s = 0 for x.
-8, 1
Solve -672*d - 29*d**2 - 34 - 753*d - 715*d + 2057*d + 2*d**3 = 0.
-2, -1/2, 17
Let h = -466 + 481. Factor 55*x**2 + 49*x**3 + h - 15 + 20*x**4 - 15*x**4 - 19*x**3 + 30*x.
5*x*(x + 1)*(x + 2)*(x + 3)
Let l(r) be the second derivative of 4*r**7/21 + 2*r**6/5 - 4*r**5/5 - r**4 + 4*r**3/3 - 1299*r. Solve l(i) = 0.
-2, -1, 0, 1/2, 1
Let z(w) = 2*w**4 - w**3 - w**2 + w - 2. Let p(j) = -101*j**4 + 1054*j**3 - 3002*j**2 + 2690*j - 148. Let y(f) = p(f) - 2*z(f). Find n, given that y(n) = 0.
2/35, 2, 6
Let n(d) be the second derivative of -4*d**7/147 + 3*d**6/7 + 173*d**5/70 - 45*d**4/7 + 8*d**3/3 - 368*d + 2. Let n(w) = 0. Calculate w.
-4, 0, 1/4, 1, 14
Let j(q) = 203*q - 6466. Let a be j(32). Let o(s) be the first derivative of -a + 4/3*s**3 + 4*s**2 - 12*s. Solve o(p) = 0.
-3, 1
Let n(g) be the second derivative of -113*g + g**2 - 1/12*g**4 + 0 - 1/6*g**3. Factor n(f).
-(f - 1)*(f + 2)
Let v = -458 + 459. Solve 6*w**2 + 3 + 4*w + 3 - 5 - v + 2*w**3 = 0.
-2, -1, 0
Let h(o) = 4*o**2 - 392*o + 2775. Let g(x) = -2*x**2 + 196*x - 1398. Let k(i) = -5*g(i) - 2*h(i). Factor k(y).
2*(y - 90)*(y - 8)
Let m be -4*507/(-6) + -2. Suppose 5*f + 56 = m. Factor -24*p**2 + f*p - p**3 - 248*p + 21 - 533.
-(p + 8)**3
Let z(t) be the second derivative of t**6/180 + t**5/120 - 5*t**4/24 + 23*t**3/36 - 5*t**2/6 - 11*t + 23. Suppose z(o) = 0. What is o?
-5, 1, 2
Let w(r) be the first derivative of 7*r**3/9 - 2203*r**2/6 - 210*r - 6085. Determine u so that w(u) = 0.
-2/7, 315
Let w be ((-10340)/10857)/(1/(-3)). Determine n so that 38/7*n**3 - 12/7*n**4 - w*n**2 - 26/7*n + 20/7 = 0.
-5/6, 1, 2
Factor 110/7*x + 2/7*x**2 + 108/7.
2*(x + 1)*(x + 54)/7
Determine m, given that -1/4*m**2 - 199/2*m - 198 = 0.
-396, -2
Let l(k) = -k**4 + 56*k**3 - 155*k**2 + 108*k + 2. Let g(d) = -d**4 + 2*d**3 + 4*d**2 - d + 1. Let s(q) = -2*g(q) + l(q). Determine o so that s(o) = 0.
-55, 0, 1, 2
Let p(f) = f**3 + 15*f**2 + 11. Let o be p(-15). Let y(j) be the first derivative of -20*j + o + 5/3*j**3 - 15/2*j**2. Suppose y(g) = 0. Calculate g.
-1, 4
Factor -492*z**2 - 128033*z + 3*z**3 + 2*z**3 - z**3 + 125473*z.
4*z*(z - 128)*(z + 5)
Let o(d) = -3*d + 3. Let a(b) = b**2 - 5*b + 39. Let j(w) = -a(w) + 5*o(w). Factor j(h).
-(h + 4)*(h + 6)
Let t(s) = -3*s - 1. Let w be t(2). Let l(u) = u + 10. Let v be l(w). Find p such that p**2 - 4*p**2 + 189*p**v - 186*p**3 = 0.
0, 1
Find s, given that -58/5*s + 2/5*s**2 + 76 = 0.
10, 19
Let v(c) be the second derivative of c**5/4 + 5*c**4/6 - 10*c**3/3 - 20*c**2 - c - 1089. Determine t, given that v(t) = 0.
-2, 2
Let m(v) = 12*v**3 + 1727*v**2 + 6711*v - 8384. Let j(o) = -4*o**3 - 576*o**2 - 2240*o + 2796. Let b(z) = -11*j(z) - 4*m(z). Factor b(f).
-4*(f - 1)*(f + 5)*(f + 139)
Let o be ((-6)/(-6) - -2)*3 + (-19 - -13). Factor -o - 15/4*d - 3/4*d**2.
-3*(d + 1)*(d + 4)/4
Factor -1/6*b**2 - 120984 - 284*b.
-(b + 852)**2/6
Let l be 774/10 - (-4)/(-10). Let a be ((-132)/l)/((4/(-70))/1). Factor -5*g + a*g**3 + 12 - 12 + 25*g**2.
5*g*(g + 1)*(6*g - 1)
Let h be 73/(-438) + (1 - 1/3). Factor 7/2*s + h*s**2 + 0.
s*(s + 7)/2
Let a(t) = -9*t**2 - 254*t - 51. Let i be a(-28). Let p(g) be the third derivative of 0*g - 1/120*g**6 - 35*g**2 + 0 + 1/15*g**i + 0*g**3 + 0*g**4. Factor p(c).
-c**2*(c - 4)
Let i be (-33)/77 - (-146)/14. Suppose 9*y + i*y - 88 + 19*y + 3*y + 51*y - 4*y**2 = 0. What is y?
1, 22
Let p(d) be the second derivative of -d**5/40 - d**4/24 + 3*d**3 + 9*d**2 - 226*d. Factor p(t).
-(t - 6)*(t + 1)*(t + 6)/2
Let b(w) be the third derivative of w**8/252 - 64*w**7/315 - 67*w**6/90 - 34*w**5/45 + 219*w**2 - w + 3. Factor b(v).
4*v**2*(v - 34)*(v + 1)**2/3
Let y(o) = 30*o**2 - 88*o - 307. Let q be y(5). Factor g - g**q + 0 + 1/5*g**2 - 1/5*g**4.
-g*(g - 1)*(g + 1)*(g + 5)/5
Let t(r) be the third derivative of r**6/900 + 19*r**5/450 + 5*r**4/18 + 32*r**3/45 - 6*r**2 + 50. Factor t(v).
2*(v + 1)*(v + 2)*(v + 16)/15
Let u(k) be the second derivative of 3*k**5/140 + 93*k**4/28 + 13*k**3 + 2*k + 793. Factor u(i).
3*i*(i + 2)*(i + 91)/7
Suppose w - 3*w - w = 0. Let g be (2 - (2 - w)) + (2 - 0). Let -18*u**2 + 45*u**3 + 24*u**4 - 6*u**g + u + 2*u - 48*u**5 = 0. What is u?
-1, 0, 1/4, 1
Let a(w) be the first derivative of w**4/14 + 22*w**3/3 - 78*w**2/7 - 10. Factor a(h).
2*h*(h - 1)*(h + 78)/7
Let k = -2079/62 - -1086/31. Let s(x) be the second derivative of 1/30*x**6 - 18*x + 0 - k*x**3 + 1/4*x**5 + 1/4*x**4 + 0*x**2. Solve s(m) = 0.
-3, 0, 1
Let d = 4691 - 1775. Determine v, given that 2187*v + 71*v**4 + d*v**2 + 67*v**4 + 1296*v**3 + 54*v**4 = 0.
-9/4, 0
Let d(k) be the second derivative of 13*k**4/36 + 305*k**3/18 + 23*k**2 - 426*k + 5. What is j in d(j) = 0?
-23, -6/13
Let w = 56151/10 - 5615. Let l(d) be the third derivative of 18*d**2 + 3/5*d**5 - 2/105*d**7 + 0*d + 0*d**3 - w*d**6 - 5/6*d**4 + 0. Factor l(h).
-4*h*(h - 1)**2*(h + 5)
Let v = 3918483/7 + -559783. Factor v*c**2 + 12 - 34/7*c.
2*(c - 14)*(c - 3)/7
Let m(j) = j**3 - 3*j**2 - 10*j + 24. Let l be m(4). Let r be l/(1*6/18*9). Factor -2/3*o + 2/3*o**2 + r - 2/3*o**4 + 2/3*o**3.
-2*o*(o - 1)**2*(o + 1)/3
Let j(a) be the second derivative of 5*a**4/12 - 415*a**3/3 - 840*a**2 + 2*a - 4414. Factor j(w).
5*(w - 168)*(w + 2)
Let v(l) be the third derivative of -5*l**5/6 - 215*l**4/24 - 55*l**3/2 + l**2 - l - 87. Factor v(h).
-5*(h + 1)*(10*h + 33)
Let k = 13983740/9 - 1553748. Find j such that k*j + 4/9 - 5/9*j**2 = 0.
-2/5, 2
Suppose -5*j - 2142 - 18 = -5*t, -2*t = -j - 864. Solve -594*i**3 - t*i**4 - 32*i**2 - 32*i**5 - 139*i**2 - 47*i**2 - 11*i - 13*i = 0 for i.
-12, -1, -1/4, 0
Let y(k) be the third derivative of -k**7/105 - 9*k**6/10 + 56*k**5/15 + 596*k**2 + 2*k. What is r in y(r) = 0?
-56, 0, 2
Factor -59*q + 0*q**2 - 493*q + 1002 - 3*q**2 + 57*q.
-3*(q - 2)*(q + 167)
Let m(r) be the second derivative of 0*r**3 - 1/6*r**4 + 0*r**2 + 3/20*r**5 + 0 - 1/42*r**7 + 0*r**6 + 279*r. Factor m(u).
-u**2*(u - 1)**2*(u + 2)
Let c(h) be the second derivative of -h**5/30 + 140*h**4 - 235200*h**3 + 197568000*h**2 - 79*h. Factor c(p).
-2*(p - 840)**3/3
Solve -8838*q + 6509187 - 201*q**2 + 62*q**2 + 73*q**2 + 69*q**2 = 0 for q.
1473
Determine t, given that -6*t + 0 - 58/9*t**3 + 110/9*t**2 + 2/9*t**4 = 0.
0, 1, 27
Factor c**2 + 1/4*c**3 + 1/4*c - 3/2.
(c - 1)*(c + 2)*(c + 3)/4
Let c(v) be the third derivative of 0*v + 1/210*v**7 - 51*v**2 + 2/3*v**3 - 1/12*v**5 + 1/40*v**6 - 1/8*v**4 + 0. Factor c(w).
(w - 1)**2*(w + 1)*(w + 4)
Let p(x) = -15 - 64*x + 195*x - 60*x - 5 - 69*x. Let t be p(11). Find j, given that t*j + 4/3 + 2/3*j**2 = 0.
-2, -1
Let v(n) = 14*n - 14. Let c(r) = -27*r + 30. Let j(x) = -3*c(x) - 5*v(x). Let o