*2. Factor c(r).
2*(r + 23)**2/7
Let s(t) be the second derivative of t**4/20 + 71*t**3/5 + t + 443. Factor s(p).
3*p*(p + 142)/5
Let t = -44/16407 + 5557/32814. Solve 1/3*j + t*j**4 + 1/6*j**5 + 0 - 1/2*j**3 - 1/6*j**2 = 0.
-2, -1, 0, 1
Suppose -35*n - 22*n - 529 = -757. Solve 15/7*h**n - 6/7*h**3 - 15/7*h**2 + 0 + 6/7*h = 0.
-1, 0, 2/5, 1
Find t such that -776/21*t - 86/7 - 260/7*t**2 - 88/7*t**3 - 2/21*t**4 = 0.
-129, -1
Let v(d) = 38*d + 1368. Let k be v(-36). Let j(q) be the third derivative of -1/12*q**5 + 0 + 5/24*q**4 + k*q + 33*q**2 + 0*q**3. Factor j(f).
-5*f*(f - 1)
Let s(o) be the second derivative of o**7/252 + o**6/18 + o**5/4 + 5*o**4/9 + 25*o**3/36 + o**2/2 + 1083*o. Factor s(x).
(x + 1)**4*(x + 6)/6
Suppose 680*k - 80*k**3 + 57*k**2 + 153*k**2 + 5*k**4 - 135 + 520 = 0. What is k?
-1, 7, 11
Suppose -521 = 19*v - 1756. Let i be 36/(-210)*(4 - v/10). Suppose -9/7*m**4 - i*m**2 + 0 - 3/7*m + 15/7*m**3 = 0. Calculate m.
-1/3, 0, 1
Let s = -4494538/7 + 642078. Suppose 0 + 0*q + 3/7*q**4 + s*q**2 + 18/7*q**3 - 2/7*q**5 = 0. What is q?
-2, -1/2, 0, 4
Let r(p) be the first derivative of 61*p**2 - 60*p + 1/2*p**4 - 19 - 64/3*p**3. Solve r(y) = 0 for y.
1, 30
Let i(r) be the second derivative of 13*r**7/21 + 7*r**6/3 - 7757*r**5/130 + 5347*r**4/26 - 1464*r**3/13 + 324*r**2/13 + 8250*r. Find y, given that i(y) = 0.
-9, 2/13, 3
Let 16*y - 8*y**2 - 192/17 + 28/17*y**3 - 2/17*y**4 = 0. What is y?
2, 4, 6
Let j(c) = c**3 + 80*c**2 + 175*c. Let w(r) = -r**3 - 24*r**2 - 174*r. Let d(v) = 2*j(v) + 3*w(v). Factor d(o).
-o*(o - 86)*(o - 2)
Let x be 105/350 - 1/(-20)*4954. Suppose 26 = -5*j + 346. Find s such that j - 2*s**2 + 3*s**2 + 232*s - x*s = 0.
8
Suppose -2*b = -4*q - 54, -17 = -2*b - 4*q + 5. Suppose -21*g + 4 = -b*g. Find o, given that -4/5*o + 2/5*o**3 - 6/5*o**4 + 6/5*o**g + 0 + 2/5*o**5 = 0.
-1, 0, 1, 2
Let y be 15/(-10)*32/(-24). Factor -3*l**4 - 8*l**4 - 28 - 16*l**3 + 15*l**4 - 72*l**y - 80*l.
4*(l - 7)*(l + 1)**3
Suppose -150*s**4 + 310*s**4 - 23*s**2 + 14*s**3 + 7*s**2 - 158*s**4 = 0. What is s?
-8, 0, 1
Let y(m) be the first derivative of m**4/9 + 376*m**3/27 - 400*m**2/9 - 1024*m/3 - 9562. Factor y(j).
4*(j - 4)*(j + 2)*(j + 96)/9
Let z(q) be the first derivative of -q**4/14 + 46*q**3/21 + 22*q**2 - 112*q + 6217. Factor z(x).
-2*(x - 28)*(x - 2)*(x + 7)/7
Let f(y) be the second derivative of -y**7/84 + 13*y**6/60 - 21*y**5/20 - 1902*y. Factor f(m).
-m**3*(m - 7)*(m - 6)/2
Let v(s) be the first derivative of -52 - 1/4*s**5 - 25/2*s**3 + 35/2*s**2 + 15/4*s**4 - 51*s. Let q(h) be the first derivative of v(h). What is n in q(n) = 0?
1, 7
Let l(z) = 5*z**2 - 16*z + 1. Let r(t) = -7*t**2 + 14*t - 2. Let s(y) = -4*l(y) - 3*r(y). Let d be s(-22). Factor 0 + 1/2*i - 1/2*i**d.
-i*(i - 1)/2
Let r(m) be the first derivative of -m**5/5 + 6*m**4 + 52*m**3/3 + 1020. Factor r(n).
-n**2*(n - 26)*(n + 2)
Let t(n) = 8*n + 1. Let i be t(-2). Let o be (-400)/8*i/2. Factor -46*d**2 - 5*d**3 - 625 - 16*d**2 + 9*d**2 - o*d - 22*d**2.
-5*(d + 5)**3
Suppose 0 = -4*z - t + 1469, -z + t + 356 = 5*t. Factor 119164 - 22*i**4 - 107632*i - 11205*i**2 + 18*i**4 - z*i**3 + 45*i**2.
-4*(i - 1)*(i + 31)**3
Suppose 41*q - 129 = -221 + 215. Factor -1/8*k**q - 8*k + 0 - 2*k**2.
-k*(k + 8)**2/8
Let w(h) be the second derivative of -1/8*h**3 + 10 + h + 1/4*h**2 + 1/48*h**4. Factor w(d).
(d - 2)*(d - 1)/4
Solve 12*r - 16/5*r**2 + 216/5 = 0.
-9/4, 6
Let u(l) be the second derivative of 3*l**6/20 - 213*l**5/40 - 133*l**4/4 - 29*l**3 + 162*l**2 + 313*l. Solve u(d) = 0.
-2, 2/3, 27
Let o(n) = -24*n - 69. Let q be -1 + ((-6)/18 - (-5)/(-3)). Let j be o(q). Let 0 - 4/9*p - 2/9*p**j - 2/3*p**2 = 0. Calculate p.
-2, -1, 0
Suppose -9*n - 27 = -12*n. Suppose z = 3*c + 3, 3*z + 0*c = -4*c + n. Determine g so that 3*g**4 - 3*g**2 + 3*g**z + 36 - 3*g**5 - 36 = 0.
-1, 0, 1
Let y(i) be the third derivative of -3/28*i**4 - 62*i**2 + 1/105*i**5 + 0 + 0*i + 4/21*i**3. Let y(n) = 0. Calculate n.
1/2, 4
Let p be (-10 - -309) + -8 - 4. Let o = p - 3155/11. Factor 0*g - 18/11 + o*g**2.
2*(g - 3)*(g + 3)/11
Factor 7/6*r**2 + 22/3*r + 10.
(r + 2)*(7*r + 30)/6
Let d = -563 + 566. Let 25/2*m**5 + 45/2*m**4 + 0*m + 12*m**d + 2*m**2 + 0 = 0. What is m?
-1, -2/5, 0
Let r(w) be the first derivative of -2*w**5/25 + 39*w**4/10 - 64*w**3 + 1792*w**2/5 - 13337. Factor r(h).
-2*h*(h - 16)**2*(h - 7)/5
Let x(l) be the second derivative of -l**7/7 + 19*l**6/3 - 199*l**5/5 + 274*l**4/3 - 72*l**3 - 2*l - 3611. Let x(i) = 0. Calculate i.
0, 2/3, 2, 27
Let i be 17 - 6 - (4 + 130/26). Let a = 32 - 153/5. Find n, given that 9/5*n**i + 1/5*n**4 - n**3 - a*n + 2/5 = 0.
1, 2
Solve 7/3*s**4 + 116/3*s - 80/3 - 31/3*s**3 - 4*s**2 = 0.
-2, 1, 10/7, 4
Suppose 657 = -25*k + 657. Let h(c) be the third derivative of -1/105*c**5 + 0*c**3 + k - 2*c**2 + 2/21*c**4 + 0*c. Factor h(z).
-4*z*(z - 4)/7
Let p = -7754/3 - -2585. Let s(a) be the first derivative of 0*a + p*a**3 + 10 + 5/2*a**2. Factor s(v).
v*(v + 5)
Let w(u) be the third derivative of 16/525*u**7 + 7/100*u**6 + 0*u + 0*u**4 - 85*u**2 + 0*u**3 + 3/50*u**5 + 1/210*u**8 + 0. Solve w(g) = 0.
-3/2, -1, 0
Let -168 - 1191/4*t**2 + 9*t**4 + 417/8*t**3 + 405*t - 3/8*t**5 = 0. Calculate t.
-8, 1, 2, 28
Let s be 4 + ((-50)/10 - 1*-5). Factor s*r**2 + 4*r**5 - 796*r**4 - 2*r**3 - 2*r**5 + 792*r**4.
2*r**2*(r - 2)*(r - 1)*(r + 1)
Let n(f) be the first derivative of f**4/6 - 194*f**3/9 + 551*f**2/3 - 910*f/3 + 7049. Suppose n(x) = 0. Calculate x.
1, 5, 91
Let w = 5018/951 + 18/317. Factor 0 - 2/3*t**2 + w*t.
-2*t*(t - 8)/3
Suppose 172 = 33*x - 277 + 152. Let s(u) be the first derivative of 6/5*u**5 + 2/3*u**3 - x - 3/2*u**4 - 1/3*u**6 + 0*u + 0*u**2. Factor s(h).
-2*h**2*(h - 1)**3
Let a be 14/(-56) + (-1 - 523/4). Let y be 12/(-132) - 34/a. Solve -1/2*h**2 - 1/6 + y*h**3 + 1/2*h = 0.
1
Let w(b) be the third derivative of -5/17*b**3 + 0*b + 11/510*b**5 - 3 - 1/255*b**6 + 2/51*b**4 - 39*b**2. Solve w(d) = 0.
-5/4, 1, 3
Let h(x) be the first derivative of 13*x**4/12 + 371*x**3/9 + 88*x**2 - 108*x - 410. Suppose h(j) = 0. Calculate j.
-27, -2, 6/13
Let a be 48/(-120)*(-30)/4. Factor 2*v**a - 4*v**3 - 3*v**3 - 100*v + 60 + 45*v**2.
-5*(v - 6)*(v - 2)*(v - 1)
Let q(x) = -x**2 + 2*x - 4. Let c be q(2). Let g(n) = n**2 - n - 5. Let u be g(c). Factor 4*i**2 + u*i**4 - 6*i**2 + 35*i**3 + 12*i**2.
5*i**2*(i + 2)*(3*i + 1)
Let h = -11 - -19. Let v be (h/(-6) + -2)*(-60)/50. Factor -v*b + 20*b**3 + 0*b**2 + 0*b**2 - 16*b**3.
4*b*(b - 1)*(b + 1)
Let w(c) be the first derivative of 3*c**4/8 - 9*c**3 + 249*c**2/4 - 99*c - 3032. Suppose w(g) = 0. Calculate g.
1, 6, 11
Let n(m) = m**2 - 3147*m - 143636. Let o be n(-45). Let 0 - b + 1/2*b**o - 1/2*b**2 + b**3 = 0. Calculate b.
-2, -1, 0, 1
Let f(a) = 15*a**2 + 101*a + 942. Suppose 0 = 2*g + 5 + 21. Let k(x) = 7*x**2 + 50*x + 472. Let l(v) = g*k(v) + 6*f(v). Factor l(h).
-(h + 22)**2
Let q = 2287731/14 - 1143862/7. Solve 104 - q*i**3 - 60*i + 21/2*i**2 = 0 for i.
4, 13
Let h = 109482 + -109482. Find c such that 2/3*c**3 + 2/9*c**4 + h - 2/9*c**5 - 10/9*c**2 + 4/9*c = 0.
-2, 0, 1
Let q(x) be the second derivative of -x**5/20 + 55*x**4/3 - 6050*x**3/3 + 1685*x. Factor q(n).
-n*(n - 110)**2
Factor 1/3*h**4 + 4/3*h + 2/3*h**3 - 7/3*h**2 + 0.
h*(h - 1)**2*(h + 4)/3
Suppose -388 = -29*z - 69. Let o(q) be the second derivative of 148/5*q**5 - 675/7*q**7 + 32/3*q**4 + 0*q**2 + 0 - z*q - 16/3*q**3 - 48*q**6. Factor o(d).
-2*d*(5*d + 2)**2*(9*d - 2)**2
Let s(a) = -a**2 - 36*a - 147. Let w be s(-31). Suppose 5*r + 8 - w = 0. Factor r*b**2 - 1/2*b**3 + 1/2*b + 0.
-b*(b - 1)*(b + 1)/2
Let r be (-125)/(-75)*(108/(-15))/(-4). Suppose r*h + 3 = 0, 5*h = 4*o - 3 - 10. Let -8/7*f + 0 - 2/7*f**o = 0. Calculate f.
-4, 0
Let m(z) be the third derivative of 0*z - 1/2*z**4 + 0*z**3 - 13/360*z**6 - 1/630*z**7 + 0 - 4/15*z**5 + 262*z**2. Factor m(s).
-s*(s + 1)*(s + 6)**2/3
Determine d so that 100/3*d**2 + 1/3*d**3 + 34 - 203/3*d = 0.
-102, 1
Let l be ((-14)/3)/(5/255). Let g be 3 + (1/(-14))/((-7)/l). Suppose -g*n**3 + 0 + 0*n**2 + 4/7*n = 0. What is n?
-1, 0, 1
Let w(c) be the second derivative of 2*c**2 - 3*c + 0 - 2/3*c**3 + 1/12*c**4. Factor w(m).
(m - 2)**2
Let p(y) be the third derivative of 0*y**3 - 1/780*y**6 + 1/195*y**5 + 1/52*y**4 - 9*y**2 + 0*y + 0. Let 