*2. Factor w(p).
(p + 2)*(p + 7)/2
Let x be 77 + -1 + (5 - 5). Let s = x + -73. Find g, given that -6*g**s - 2/3*g**5 + 14/3*g**2 + 10/3*g**4 + 0 - 4/3*g = 0.
0, 1, 2
Let a(s) be the first derivative of 39 - s**4 + 12 - 4*s**3 + 19 + 16*s - 20. Determine b so that a(b) = 0.
-2, 1
Factor 147*c + 3/4*c**2 + 7203.
3*(c + 98)**2/4
Let z(y) be the second derivative of y**6/180 + y**5/120 - 13*y**4/72 - 25*y**3/36 - y**2 + 5*y + 23. Factor z(n).
(n - 4)*(n + 1)**2*(n + 3)/6
Suppose -6*z + 80 = -z. Suppose -4 = 15*v - z*v. Find q such that v*q + q**3 + 5*q**2 + 2*q**4 + 5*q**2 + 7*q**3 = 0.
-2, -1, 0
Let s be (-7)/((-126)/48)*(-8 - (-445)/40). Let s*g + 5*g**2 + 0 = 0. Calculate g.
-5/3, 0
Let l(o) = 44*o**2 + 3872*o + 311060. Let u(b) = -28*b**2 - 2581*b - 207373. Let q(s) = -5*l(s) - 8*u(s). Factor q(w).
4*(w + 161)**2
Let d = -102 - -97. Let m be d/(-7) + 4 + 1. Suppose 46/7*t**2 + 8/7 + 2*t**3 + m*t = 0. Calculate t.
-2, -1, -2/7
Let f(j) be the third derivative of 0 - 31/60*j**5 + 0*j**4 + 53/120*j**6 + 7*j + 1/48*j**8 - 11/70*j**7 + 2/3*j**3 + 3*j**2. Solve f(k) = 0.
-2/7, 1, 2
Let g(i) be the second derivative of -i**5/150 + 41*i**4/45 - 611*i**3/15 + 2028*i**2/5 - 139*i. Factor g(c).
-2*(c - 39)**2*(c - 4)/15
Let h(i) be the third derivative of -i**7/420 - 3*i**6/40 - 31*i**5/120 + 3*i**4/8 + 8*i**3/3 + 32*i**2 - 18*i. What is k in h(k) = 0?
-16, -2, -1, 1
Let p(j) be the first derivative of 5*j**3/3 + 55*j**2 - 1600*j - 1866. Factor p(g).
5*(g - 10)*(g + 32)
Let r = 248 - 254. Let w be (-9)/r*(-3 + 5). What is o in 2/7*o**4 - 2/7*o + 6/7*o**2 + 0 - 6/7*o**w = 0?
0, 1
Let m(i) be the third derivative of i**5/180 - 4*i**4/9 + 10*i**3/3 + i**2 + 47. Factor m(u).
(u - 30)*(u - 2)/3
Let s(g) be the third derivative of -g**7/84 - 13*g**6/240 - g**5/20 + 395*g**2 - 4. Find u, given that s(u) = 0.
-2, -3/5, 0
Let n(s) be the third derivative of -16*s**3 - s + 0 - 5/3*s**4 - 8*s**2 + 1/15*s**5. Solve n(t) = 0 for t.
-2, 12
Solve 0 + 2/5*b**2 + 176/5*b = 0 for b.
-88, 0
Factor 31850496/5 + 22228992/5*g + 23508*g**3 + 4/5*g**5 + 1176/5*g**4 + 4212864/5*g**2.
4*(g + 3)**2*(g + 96)**3/5
Determine y, given that 26*y - 2/5*y**2 + 268/5 = 0.
-2, 67
Let 2/3*w**4 - 4/3*w**3 + 0 - 10/3*w**2 + 4*w = 0. Calculate w.
-2, 0, 1, 3
Let m be (-204)/(-1530) + 0/(-2*1). Let u(b) be the first derivative of 21 + 0*b - m*b**3 + 3/10*b**4 - 2/5*b**2. Factor u(g).
2*g*(g - 1)*(3*g + 2)/5
Let h(t) be the first derivative of -2/15*t**5 + 0*t**2 + 79 + 0*t**3 + 3/2*t**4 + 0*t. Find k such that h(k) = 0.
0, 9
Let n(q) = 2*q**4 - 18*q**3 + 1164*q**2 + 1880*q + 966. Let i(x) = 4*x**3 - x**2 + 3*x - 1. Let u(j) = 60*i(j) + 2*n(j). Suppose u(g) = 0. Calculate g.
-36, -13, -1
Suppose -5*a + 53 = 4*k, -3*k - 35*a = -36*a + 3. Solve 36/11*l**3 - 54/11*l**k + 0 - 6/11*l**4 + 0*l = 0 for l.
0, 3
Let v be (-2 - (-517)/88 - (3 + 1))*-2. Suppose r + 0*r - b = 0, 5*b - 21 = -2*r. Find h, given that 54 - v*h**r + 9/2*h**2 - 27*h = 0.
6
Let y(b) = -2*b + 32. Let h be y(3). Factor 4*c**4 + 26*c**2 + 12*c**4 + 8*c**3 - h*c**2 - 10*c**5.
-2*c**3*(c - 2)*(5*c + 2)
Let f(z) be the first derivative of -1/10*z**4 + 134/5*z**3 + 165 + 601526/5*z - 13467/5*z**2. Solve f(y) = 0 for y.
67
Determine h so that -30370*h**2 + 30580*h**2 + 80*h - 55*h**3 + 60*h**4 + 5*h**5 + 240*h**3 = 0.
-8, -2, -1, 0
Factor 1/4 + 2249999/4*a**2 + 3001/4*a - 2253001/4*a**3.
-(a - 1)*(1501*a + 1)**2/4
Let j(k) = -k**3 + 12*k**2 - 880*k + 5064. Let b be j(6). Let -2/7*u**4 + 4/7*u**2 + 0*u**3 + b*u - 2/7 = 0. What is u?
-1, 1
Let h(z) be the second derivative of z**7/560 - 18*z**2 + 143*z. Let c(p) be the first derivative of h(p). Solve c(f) = 0.
0
Suppose -53*b + 9*b = -400*b + 1068. Let t(w) be the third derivative of -1/300*w**5 + 0*w - 46*w**2 - 1/600*w**6 + 0 + 0*w**4 + 0*w**b. Factor t(q).
-q**2*(q + 1)/5
Find u such that -3/7*u**5 - 102/7*u**3 - 75/7 + 6*u**2 + 33/7*u**4 + 15*u = 0.
-1, 1, 5
Let c = 102 - 100. Factor -12*x**3 + c - 12*x**2 + 22 + 4*x**4 - 48 + 44*x.
4*(x - 3)*(x - 1)**2*(x + 2)
Let z(w) = -9*w**4 + 36*w**3 - 39*w**2 + 8*w. Let b(n) = -29*n**4 + 107*n**3 - 117*n**2 + 26*n. Let d(c) = -4*b(c) + 13*z(c). Factor d(h).
-h**2*(h - 39)*(h - 1)
Let c(m) be the third derivative of -m**6/300 - 2*m**5/75 + 5*m**4/12 + 28*m**3/15 - 6616*m**2. Factor c(u).
-2*(u - 4)*(u + 1)*(u + 7)/5
Let k = 687425 - 8936517/13. Find j, given that 0*j + 0 + k*j**2 - 2/13*j**3 = 0.
0, 4
Let v(y) be the first derivative of 441/5*y - 66 + 1/15*y**3 + 21/5*y**2. Factor v(c).
(c + 21)**2/5
Let z = -17 + 11. Let x(g) = 36*g**2 - 1276*g**3 + 1291*g**3 + 38*g - 11*g. Let j(a) = -45*a**3 - 109*a**2 - 80*a + 1. Let w(d) = z*j(d) - 17*x(d). Factor w(o).
3*(o + 1)*(o + 2)*(5*o - 1)
Let r be (3/(-7 - -6) - -73)/2. Let n be ((-7)/r)/(9/(-90)). Factor 0 - 2/7*o + 2/7*o**n.
2*o*(o - 1)/7
Let s(z) = -22*z**2 - 220*z - 348. Let m be s(-8). Solve -166/5*l**2 + 264/5*l + 24/5*l**3 - 121/5 - 1/5*l**m = 0.
1, 11
Let a be -4 + (-1 - -5) + (-30)/(-2). Let l be -3*14/a*-5. Solve -5*s**4 - 5*s - 5 + 5*s**3 + 5*s**3 + l*s**2 - 5*s**5 - 4*s**2 = 0 for s.
-1, 1
Let b(s) = 6*s**4 + 130*s**3 - 390*s**2 + 394*s - 132. Let j(m) = 19*m**4 + 391*m**3 - 1170*m**2 + 1182*m - 396. Let u(a) = -13*b(a) + 4*j(a). Factor u(k).
-2*(k - 1)**3*(k + 66)
Let f(h) be the second derivative of h**5/105 - 32*h**3/21 + 34*h**2 + 47*h. Let d(k) be the first derivative of f(k). Factor d(y).
4*(y - 4)*(y + 4)/7
Factor 0 + 0*u + 2/5*u**2 + 3/5*u**3 + 1/5*u**4.
u**2*(u + 1)*(u + 2)/5
Let d be 4 + (7 - (-3 - -6)). Factor -12 + d*y - 51 - 113*y - 3*y**2 - 39.
-3*(y + 1)*(y + 34)
Let b(u) = 4*u**2 - u - 2. Let x be b(-1). Factor -i**x + 6*i**2 - 301*i - 298*i + 590*i + 4.
-(i - 4)*(i - 1)**2
Let g = -1013430 + 4053741/4. Suppose -1587/2*f - 939/4*f**4 - g*f**5 - 9873/4*f**3 + 14007/4*f**2 + 0 = 0. Calculate f.
-23, 0, 2/7, 1
Let o(r) be the first derivative of 19 + 3/5*r**5 + 0*r + 15*r**3 - 27/2*r**2 - 21/4*r**4. Solve o(q) = 0 for q.
0, 1, 3
Factor 104*h + 20*h**3 - 2*h**4 - 51 - 93*h**2 - 21 + 19*h**2 + 16*h.
-2*(h - 3)**2*(h - 2)**2
Let i(p) be the first derivative of p**5/390 + p**4/26 + 3*p**3/13 + p**2 - 38*p - 82. Let t(n) be the second derivative of i(n). Find g, given that t(g) = 0.
-3
Let w(t) = -2*t. Let r be w(2). Let l be (-24)/18*6/r. Let 5*f**5 - 48*f**l - 80*f + 20*f**4 + 2 - 2 - 32*f**2 = 0. Calculate f.
-2, 0, 2
Let s(w) be the first derivative of w**6/5 + w**5/10 - 4*w**4/3 + 4*w**3/3 + 196*w + 285. Let k(a) be the first derivative of s(a). Factor k(t).
2*t*(t - 1)*(t + 2)*(3*t - 2)
Let y(o) be the second derivative of 8/7*o**3 + 16/7*o**2 + 5 + 1/70*o**5 + 3/14*o**4 + 2*o. Factor y(x).
2*(x + 1)*(x + 4)**2/7
What is f in -29*f - 627*f + 415 + 1185 + 157 + 4*f**2 - 461 = 0?
2, 162
Suppose -5*d - 2*d + k = 2 - 16, 0 = -3*k. What is q in 15/2*q - 1/4*q**d - 225/4 = 0?
15
Let q = 258/89 - 25513/2937. Let y = 3739/99 - q. Factor -2/9*n**2 + 56/9*n - y.
-2*(n - 14)**2/9
Let o = 394395 - 394393. Solve 6 + 1/4*c**o + 25/4*c = 0 for c.
-24, -1
Let j(i) = -i**3 + 82*i**2 + 547*i - 1670. Let y be j(88). Determine r so that -243/8 - 3/8*r**y + 27/4*r = 0.
9
What is u in -5*u**5 - 145*u**4 - 300*u + 486*u - 125*u**3 + 324 - 139*u**2 - 44 + 524*u + 584*u**2 = 0?
-28, -1, 2
Let v = 714 + -709. Suppose -11*k**2 + 3*k + 369*k**3 - k + 2*k**2 - 375*k**3 - v*k = 0. Calculate k.
-1, -1/2, 0
Let a(r) = -996*r**2 - 12933*r + 197. Let f be a(-13). Factor 0 + 3/8*c**f + 21/4*c.
3*c*(c + 14)/8
Let u(i) = 20*i**3 - 7384*i**2 - 3392940*i - 6756488. Let g(t) = -3*t**3 + 3*t**2 - t. Let q(y) = 8*g(y) + u(y). Factor q(j).
-4*(j + 2)*(j + 919)**2
Let t(j) be the third derivative of 5/6*j**4 - 30*j**2 + 8/3*j**3 + 0*j + 1/15*j**5 - 1. Factor t(x).
4*(x + 1)*(x + 4)
Let a = 100 - 96. Factor -g**4 + 35*g**2 + 535 - 25*g + 25*g**3 - 565 - a*g**4.
-5*(g - 6)*(g - 1)*(g + 1)**2
Let l = 156869/2044 + -307/4. Let j = 1537/1022 + l. Factor 3/2*p**2 + 0 + j*p.
3*p*(p + 1)/2
Factor 3856*j + 5*j**3 + 3853*j + 3852*j - 11541*j - 25*j**2.
5*j*(j - 4)*(j - 1)
Let k be (-212)/(-6) - (-7)/(-21). Let c = -32 + k. Solve c*a**2 - 18*a + 10*a - 7*a + 9 + 3*a**3 = 0.
-3, 1
Factor 3158028*s**2 + 338792*s**4 - 1643620*s**3 + 610749 - 78150*s**4 + 452133 - 2991816*s + 162076*s**3.
2*(19*s - 27)**4
Let y(r) be the first