the second derivative of -j**4/20 + 693*j**3/5 - 1440747*j**2/10 - 4037*j. Factor l(o).
-3*(o - 693)**2/5
Factor -3/4*y**3 + 0 + 453/2*y**2 - 450*y.
-3*y*(y - 300)*(y - 2)/4
Let n = 621 - 45. Suppose 2*z = -568 + n. Factor 1/2*f + z*f**2 + 5/2*f**3 - 1.
(f + 1)**2*(5*f - 2)/2
Let q = 1697/43 - 13447/344. Factor q*t**2 - 3/4 + 3/8*t.
3*(t - 1)*(t + 2)/8
Let j(v) be the second derivative of v**5/50 - v**4/15 - 91*v**3/5 - 54*v**2 + 4476*v. Factor j(y).
2*(y - 18)*(y + 1)*(y + 15)/5
Let x = 257 + -249. Factor 16994 - 377*w - 83*w + 5*w**2 - 6414 - 8*w + x*w.
5*(w - 46)**2
Suppose -4*i + 3*s - 10 = 0, 2377*i - 5*s + 32 = 2378*i. Factor -3/5*t**i - 12/5*t - 9/5.
-3*(t + 1)*(t + 3)/5
Let -227 - 2*i**2 - 16*i + 74 - 391 - 128*i = 0. Calculate i.
-68, -4
Suppose 70 + 62 = 11*f. What is q in 22*q**4 - f*q + 72 + 46*q**3 - 20*q - 94*q**2 + 9*q**5 - 7*q**5 - 16*q = 0?
-6, -1, 1
Let u be 5 + (-8 - (-98)/14). Let t(x) be the third derivative of 0*x + 0 - 2/135*x**5 + 0*x**u + 0*x**3 + 1/270*x**6 - 13*x**2. Factor t(s).
4*s**2*(s - 2)/9
Let m(c) be the third derivative of c**5/12 - 5*c**4/3 + 10*c**3 - 22*c**2 + c. Suppose m(j) = 0. What is j?
2, 6
Let j(a) = -3*a**2 + 31*a - 80. Let m be j(5). Let t be 4/(9/(-3) - -4). Determine y, given that 0*y**2 + 1/2*y**3 - 1/6*y**t - 2/3*y + m = 0.
-1, 0, 2
Let h(x) be the first derivative of 34 + 12*x + 14/3*x**3 - 23*x**2. Suppose h(c) = 0. What is c?
2/7, 3
Let v be (38/660 - (-79)/(-869))/(2/(-3)). Let u(m) be the third derivative of -1/2*m**4 - 2*m**3 + 0*m - v*m**5 - 14*m**2 + 0. Let u(n) = 0. What is n?
-2
Solve 3/4*w**3 - 753/4*w**2 - 46875/4 + 47625/4*w = 0 for w.
1, 125
Let h be (6/(-8))/(495/(-55)). Let i(c) be the first derivative of 3/8*c**2 + 1 + 0*c + h*c**3. Let i(a) = 0. What is a?
-3, 0
Let s be (-3)/(-6)*(-3181 + 0). Let t = s + 1591. Solve 1 - t*a**3 + 1/2*a - a**2 = 0 for a.
-2, -1, 1
Suppose 26*j - 100 = 30. Suppose 5*b**3 + 4*b**2 + 0*b**3 - 19*b - 7*b**j - 9*b**4 + 3*b**2 + 21*b + 2*b**2 = 0. Calculate b.
-1, -2/7, 0, 1
Let v be (18 - -1) + (34/(-221) - (-4)/26). Let x(p) be the first derivative of -v + 4*p - 2/3*p**3 + p**2. Determine g, given that x(g) = 0.
-1, 2
Suppose 62 = -12*k + 50. Let g be 1 + 2 + k + -2 + 3. Determine o, given that 3*o**2 + 0 + 27/2*o**g + 0*o + 27/2*o**4 = 0.
-2/3, -1/3, 0
Let c(q) be the second derivative of 0*q**4 - 1 - 1/10*q**6 - 1/14*q**7 + 0*q**5 + 0*q**2 + 9*q + 0*q**3. Factor c(t).
-3*t**4*(t + 1)
Let v(h) be the third derivative of h**6/160 + h**5/8 - 23*h**4/32 + 3*h**3/2 - 1247*h**2. Solve v(k) = 0 for k.
-12, 1
Let b be ((-881)/2)/(39/(-78)). Suppose 1154 = 13*z + b. Find c, given that 15*c + 3/7*c**3 + z - 39/7*c**2 = 0.
-1, 7
Let h be (-26)/(-4)*(-5 - 0 - -9). Suppose -h*c + 729 + 13*c**3 - 217*c - 4*c**3 + 27*c**2 - 10*c**3 = 0. What is c?
9
Let p(m) be the first derivative of -1 + 0*m**3 - 5/3*m**2 - 17*m + 5/72*m**4. Let s(u) be the first derivative of p(u). Find f such that s(f) = 0.
-2, 2
Let t(h) be the third derivative of 0*h - 59*h**2 + 11/8*h**6 + 5/336*h**8 + 0*h**3 + 0 + 13/42*h**7 - 245/12*h**4 - 77/12*h**5. What is q in t(q) = 0?
-7, -1, 0, 2
Suppose 17*r + 150 = 12*r. Let c = r - -46. Find f such that -16 + 48*f**2 - 29*f**2 + c*f - 23*f**2 = 0.
2
Let z be 1*(1 + (-3)/(15/(-20))). Suppose 4*j + 0*j = b - 20, -j = z. Find q such that 9/8*q**2 - 3/8*q**3 + 0 + b*q = 0.
0, 3
Let v(j) be the first derivative of -3*j**5/5 - 21*j**4/4 - 2*j**3 + 60*j**2 - 432. Factor v(u).
-3*u*(u - 2)*(u + 4)*(u + 5)
Let t(y) = 138*y - 19. Let r be t(-1). Let v be (-16)/(-48) + r*4/(-60). Factor v*b - 27/5 + 2*b**3 - 1/5*b**4 - 36/5*b**2.
-(b - 3)**3*(b - 1)/5
Let z(g) be the first derivative of -g**4/24 - 167*g**3/18 + 85*g**2/6 + 56*g + 2872. Factor z(y).
-(y - 2)*(y + 1)*(y + 168)/6
Let p be (-1*(-12)/16)/(4 + -14 + 130). Let r(k) be the third derivative of 0*k**4 - 27*k**2 + 0 + 0*k + 0*k**3 - p*k**6 + 0*k**5. Factor r(a).
-3*a**3/4
Let x be (-6)/27 + 54/243. Suppose x = 25*c + 3*c - 168. Suppose -50 + 30*k - c*k**2 + 2/5*k**3 = 0. What is k?
5
Let c = 16160 + -49286/3. Let t = c + 269. Let -4/3 - t*l**2 + 4/3*l = 0. Calculate l.
2
Factor -73*r**3 + 174*r**2 - 137*r + 42503 + 12*r**4 - 42469 - 10*r**4.
(r - 34)*(r - 1)**2*(2*r - 1)
Let c be ((-330)/30)/(2/16). Let w be 1/(-5) + c/(-40). Factor 0*x**3 - 61*x**w + 55*x**2 + 3*x**3.
3*x**2*(x - 2)
Let c(p) = -30*p**2 - 94*p + 175. Let j(o) = -9*o**2 - 31*o + 58. Let n(b) = 4*c(b) - 13*j(b). Factor n(g).
-3*(g - 6)*(g - 3)
Let u(k) be the second derivative of 4*k**6/3 + 61*k**5/4 + 60*k**4 + 135*k**3/2 - 135*k**2 - 1475*k. Solve u(w) = 0 for w.
-3, -2, 3/8
Factor -338*l - 60 - 83*l - 53*l - 105*l**2 - 92*l + 29*l.
-3*(l + 5)*(35*l + 4)
Let a = 1376 + -1373. Let y(n) be the first derivative of 0*n - 5/14*n**4 - 4/21*n**a - 4/35*n**5 - 13 + 0*n**2. Find v, given that y(v) = 0.
-2, -1/2, 0
Let k(o) = o**3 - 6*o**2 + 860*o - 7981. Let p be k(9). Solve -1/6*g**p - 8/3*g + 19/2 = 0 for g.
-19, 3
Let f(g) be the third derivative of -11/100*g**5 - 27 - 2*g**2 - 19/40*g**4 + 3/5*g**3 + 0*g. Factor f(a).
-3*(a + 2)*(11*a - 3)/5
Let x be 480/(-12)*(-6)/(-8)*84/(-504). Determine y so that 5/2*y**4 + 7/2*y**3 - 4*y - 2 - 1/2*y**2 + 1/2*y**x = 0.
-2, -1, 1
Let w(c) be the third derivative of -16*c**7/1155 - 122*c**6/165 + 17*c**5/22 + 109*c**4/66 + 31*c**3/33 - 129*c**2 + c. Determine k, given that w(k) = 0.
-31, -1/4, 1
Let c(p) be the first derivative of p**4/12 + p**3 - 67*p**2/2 - 209*p/3 - 4830. Factor c(g).
(g - 11)*(g + 1)*(g + 19)/3
Let u(j) be the first derivative of 3*j**4/4 + 26*j**3 + 240*j**2 - 3640. Let u(d) = 0. Calculate d.
-16, -10, 0
Let p be (10/(-5))/(2 + 975/(-470)). Let k = 28 - p. What is m in -18/7*m**2 - 2/7 + 12/7*m + k*m**3 = 0?
1/4, 1
Let o be (-26)/(-52)*(375/(-30) + 13). Factor 1/4*w**3 + o*w**5 - 1/2*w - 3/4*w**2 + 3/4*w**4 + 0.
w*(w - 1)*(w + 1)**2*(w + 2)/4
Suppose -86*z + 88*z - 6 = 0, 4*z - 6 = 2*k. Suppose 7*p**3 - 3*p**2 - 8*p**4 + 10*p**3 - 7*p**k + 2*p**5 - p**2 = 0. What is p?
0, 1, 2
Suppose g - 5*b = 58, -9*g + 59 = -4*g - 4*b. Factor 0 + 125/3*x + 10*x**g - 75/2*x**2 - 5/6*x**4.
-5*x*(x - 5)**2*(x - 2)/6
Let m(v) = 650*v**3 + 6*v**2 - 4*v - 1. Let k be m(1). Suppose -k*y = -656*y. Factor y*a**2 - 6/5*a + 12/5*a**3 + 0 + 0*a**4 - 6/5*a**5.
-6*a*(a - 1)**2*(a + 1)**2/5
Let g = 1232/5 + -244. Let k = 14/3847 + 199974/19235. Find n, given that 4/5*n**3 + k*n**4 + g*n**5 - 52/5*n**2 - 16/5*n + 0 = 0.
-4, -1, -1/3, 0, 1
Let h = 38 - -11. Let p = h - 47. Solve 3*b**4 - 14*b**p + 31*b**2 + 13 + 22*b**2 + 36*b - 1 + 18*b**3 = 0.
-2, -1
Let u(h) be the second derivative of h**7/2520 + h**6/360 + h**4/12 + h**2/2 + 5*h - 2. Let w(t) be the third derivative of u(t). Solve w(l) = 0.
-2, 0
Find s, given that -1/2*s**5 - 120 - 362*s - 33*s**4 - 396*s**2 - 373/2*s**3 = 0.
-60, -2, -1
Suppose -1786 - 1369 - 763 = -3115*o + 2312. Determine b so that 1/7*b**5 - 1/7*b**3 - 1/7*b**4 + 0*b + 0 + 1/7*b**o = 0.
-1, 0, 1
Let v(y) be the second derivative of y**5/35 - 61*y**4/21 - 128*y**3/21 + 248*y**2/7 - 1031*y - 2. Factor v(z).
4*(z - 62)*(z - 1)*(z + 2)/7
Let t(v) be the second derivative of -v**4/60 + 101*v**3/15 - 40*v**2 - 383*v + 1. Factor t(h).
-(h - 200)*(h - 2)/5
Let a(j) = 2*j**4 - j**2 - j - 1. Let q(n) = -3*n**4 - 76*n**2 - 1 - 121*n + 0 - 5*n + 45*n**3 + 0. Let g(z) = a(z) - q(z). Factor g(i).
5*i*(i - 5)**2*(i + 1)
Let s be 6/117 + (-15)/(4095/(-532)). Factor 15/8*g**s - 63/8*g + 3/2.
3*(g - 4)*(5*g - 1)/8
Let w(k) be the first derivative of 40 + 168*k**2 + 147*k + 78*k**3 + 12*k**4 + 3/5*k**5. Factor w(n).
3*(n + 1)**2*(n + 7)**2
Suppose -21*z = 14*z - 5460. Let a be -3 + 2 - (z/8)/(-13). Factor 0*o**3 + 0*o + 1/2*o**4 + 0 - a*o**2.
o**2*(o - 1)*(o + 1)/2
Suppose 88 = -5*p - 82. Let s = -29 - p. Factor -2*x**2 - 2*x + s*x + 3*x - 2*x.
-2*x*(x - 2)
What is d in -1/3*d**3 + 1445 + 49/3*d**2 - 799/3*d = 0?
15, 17
Let i be ((-393)/48*-2)/(36/648). Let s = i + -294. Factor -3/4*q**4 + s*q**2 + 0*q + 0*q**3 + 0.
-3*q**2*(q - 1)*(q + 1)/4
Let t be (-228)/(-19) + (1415/24)/(-5). Let f(r) be the third derivative of r**2 - 1/8*r**6 + t*r**5 + 0*r**4 + 1/84*r**7 + 0*r**3 + 0 + 0*r. Factor f(j).
5*j**2*(j - 5)*(j - 1)/2
Let u(y) = -150*y**2 - 66*y - 1608. Let c(v) = -133*v**2 - 68*v - 1607. Let d