17*w**5 + 17*w**4 + 48*w**3 + 7. Let f(n) = 7*t(n) + 8*z(n). Factor f(g).
3*g**3*(g + 4)**2
Let f(l) be the second derivative of -2/5*l**5 + 0 + 1/15*l**6 + 0*l**2 + 2/3*l**4 + 0*l**3 - 170*l. Factor f(p).
2*p**2*(p - 2)**2
Let j(d) be the first derivative of 5*d**3/3 - 240*d**2 + 3115*d - 7260. Factor j(h).
5*(h - 89)*(h - 7)
Factor -63/4 + 15*b + 3/4*b**2.
3*(b - 1)*(b + 21)/4
Let h(m) = -m**2 + 10*m + 12. Let d be h(8). Suppose 0 = 9*b - d*b. Suppose 0 + 4/3*r**3 + b*r - 4*r**2 = 0. What is r?
0, 3
Let m(k) = k**3 - k**2 + 6*k**2 - 4*k**2 + 5*k**2 - 3*k - 2. Let s(l) = 2*l**2 + 2*l**2 - 5*l**2. Let z(o) = -m(o) - 6*s(o). Factor z(r).
-(r - 2)*(r + 1)**2
Let y(c) = -c**3 - c**2 - 3*c + 6. Let h(z) = 24*z**3 + 417*z**2 + 846*z + 264. Let a(x) = -h(x) - 21*y(x). Find w, given that a(w) = 0.
-130, -1
Suppose 0 = r - 3*r - 4, -2*b = -2*r - 8. Let w = -489019/13 - -37617. Factor 48/13*t + w*t**3 + 18/13*t**b + 32/13.
2*(t + 1)*(t + 4)**2/13
Suppose 0 = -10*u + 44 + 56. Suppose 0 = -4*w - u*w + 4*w. Determine c so that 0*c**2 + w*c + 1/6*c**4 - 1/6*c**3 + 0 = 0.
0, 1
Let u(b) be the second derivative of -1/10*b**2 + 1/100*b**5 - 1/20*b**4 - 50*b + 0 + 1/10*b**3. Let u(k) = 0. Calculate k.
1
Let x(s) = -5*s**4 - 2 + 4*s + 4*s**4 + s**3 + s**2 - 3*s. Let g(l) = -8*l**4 + 4*l**2 + 36*l. Let n(a) = -g(a) + 10*x(a). Determine r, given that n(r) = 0.
-1, 2, 5
Determine x so that -1676/3*x - 560 + 2*x**2 + 2/3*x**3 = 0.
-30, -1, 28
Let w(o) be the first derivative of -5*o**4/4 + 215*o**3 - 945*o**2 - 5409. Factor w(p).
-5*p*(p - 126)*(p - 3)
Factor -8*j**2 + 120*j + 22*j**2 - j**2 - 2*j**3 + 6*j**2 + j**3.
-j*(j - 24)*(j + 5)
Let t = 188045 - 376089/2. Solve t*i**2 + 0 - 1/4*i**3 + 3/4*i = 0.
-1, 0, 3
Let n = 49 - 50. Let s be n/(39/(-12) - -3). Factor -17*c + 17*c - 5*c**3 + 2*c**2 + 4*c**s - c**5.
-c**2*(c - 2)*(c - 1)**2
Let n be (1 + (-31)/27)/(10764/(-32292)). Factor n*p**2 - 2/9*p**3 + 0*p + 0.
-2*p**2*(p - 2)/9
Let s(b) be the third derivative of b**8/840 - 13*b**7/175 + 81*b**6/50 - 992*b**5/75 + 128*b**4/5 + 355*b**2. Solve s(d) = 0.
0, 1, 6, 16
Let c(s) be the first derivative of s**6/20 - 63*s**5/40 - 11*s**4/4 + s + 97. Let q(v) be the first derivative of c(v). Factor q(n).
3*n**2*(n - 22)*(n + 1)/2
Let b(s) = -18*s**4 - 230*s**3 - 810*s**2 - 914*s - 382. Let l(c) = -4*c**4 - 51*c**3 - 180*c**2 - 203*c - 85. Let u(n) = -5*b(n) + 22*l(n). Factor u(i).
2*(i + 1)**2*(i + 2)*(i + 10)
Let w = 103455 - 103451. Factor -m**3 + 2/3*m**2 + 0*m**w + 1/3*m**5 + 0*m + 0.
m**2*(m - 1)**2*(m + 2)/3
Let r(b) = -2*b - 79. Let q be r(-41). Let l(p) = -45*p**3 + 42*p**2 + 3*p. Let d(t) = -t**4 + 90*t**3 - 84*t**2 - 5*t. Let f(v) = q*d(v) + 5*l(v). Factor f(c).
-3*c**2*(c - 14)*(c - 1)
Let w = -93 + 97. Suppose -6*m**2 - 25634*m**4 - 4*m - 6*m**2 + 4*m**3 + 25646*m**w = 0. What is m?
-1, -1/3, 0, 1
Let p(g) be the first derivative of 100/3*g + 7/2*g**4 + 49/15*g**5 - 109 - 10*g**2 - 131/9*g**3. Factor p(x).
(x - 1)**2*(7*x + 10)**2/3
Let c(j) be the second derivative of -j**6/6 + j**5/4 + 35*j**4/12 - 65*j**3/6 + 15*j**2 - 660*j - 2. Factor c(s).
-5*(s - 2)*(s - 1)**2*(s + 3)
Let n be -12*42/(-224) + 1/(-4). Suppose 0*g - i = g + 2, -n*g - 6 = 3*i. Suppose -6 + g*s**3 + 3*s**2 - 3/8*s**4 + 0*s = 0. Calculate s.
-2, 2
Let o be (-14)/(-2) - (-13 - ((-2960)/111)/(-8)). Find x such that -o*x**3 - 8/3 - 118/3*x**2 - 56/3*x = 0.
-1, -2/5, -2/7
Let y = -1646 + 1624. Let v be 31/(-155) + y/(-10). Factor 2/5*h**v - 12/5*h + 18/5.
2*(h - 3)**2/5
Determine d so that d**4 - 75*d - 19*d + 48 - 44*d**2 - 5*d**4 - 46*d + 192*d - 52*d**3 = 0.
-12, -1, 1
Let w = 690 + -673. Let h(f) be the third derivative of 1/12*f**5 - w*f**2 + 0 + 0*f + 25/12*f**4 + 125/6*f**3. Factor h(t).
5*(t + 5)**2
Let z = -495667/12 - -165241/4. Suppose -88*l - 514/3*l**3 + 40/3 + 62*l**4 - z*l**5 + 566/3*l**2 = 0. Calculate l.
2/7, 1, 10
Determine l, given that 5*l**2 + 58*l - 187*l + 30 + 57*l + 97*l = 0.
-3, -2
Let t be (2388/(-14))/(-3) + (-10)/(-70). Solve 2*o**3 + 14 - t + 16*o**2 + 2*o - 41 = 0.
-7, -3, 2
Find u such that 200/3*u**2 + 0*u + 148/3*u**4 - 430/3*u**3 - 14/3*u**5 + 0 = 0.
0, 4/7, 5
Let n(u) be the third derivative of u**8/6720 + u**7/672 + u**6/180 + u**5/120 - 85*u**3/3 - 16*u**2. Let m(x) be the first derivative of n(x). Factor m(k).
k*(k + 1)*(k + 2)**2/4
Let v(f) be the third derivative of -2*f**2 - 1/8*f**3 - 1/30*f**5 + 0*f + 51 + 7/48*f**4. Find i, given that v(i) = 0.
1/4, 3/2
Let d(a) be the first derivative of 5*a**3/3 + 940*a**2 - 1993. Let d(x) = 0. Calculate x.
-376, 0
Let a(i) be the second derivative of -25*i**7/24 + 109*i**6/4 + 929*i**5/16 - 205*i**4/12 - 135*i**3/2 + 50*i**2 - 1135*i. Solve a(f) = 0 for f.
-1, 2/7, 2/5, 20
Let r(t) be the third derivative of 8*t**5/15 + 7*t**4/6 - 2*t**3/3 + 1718*t**2. Factor r(b).
4*(b + 1)*(8*b - 1)
Let o(m) be the second derivative of -m**7/126 + m**6/9 + 29*m**5/30 - 4*m**4/9 - 59*m**3/6 + 21*m**2 + 3*m + 1688. Solve o(w) = 0.
-3, 1, 14
Let j = 1143 + -1126. Suppose 0 = -3*l + 3*k, 5*k = 2*l - 11 + j. Factor y**l + 0 + 1/2*y**3 + 1/2*y.
y*(y + 1)**2/2
Let f(r) be the second derivative of -5/12*r**4 - 25/2*r**2 + 56*r + 0 + 5*r**3. Factor f(q).
-5*(q - 5)*(q - 1)
Let y(l) be the first derivative of -6*l**3/13 - 6275*l**2/13 - 2788*l/13 - 4832. Factor y(n).
-2*(n + 697)*(9*n + 2)/13
Let v(z) be the second derivative of -z**5/20 - 151*z**4/12 + 305*z**3/6 - 153*z**2/2 - 2538*z. Factor v(f).
-(f - 1)**2*(f + 153)
Let b(d) = 14*d**2 + 1. Let s be b(-1). Suppose 20*f - 15 = s*f. What is i in 4/3*i**f + 1/3*i**5 + 4/3*i**4 + 0*i**2 + 0 + 0*i = 0?
-2, 0
Let j(z) be the first derivative of z**4/2 + 1142*z**3/3 + 1139*z**2 + 1138*z - 3607. Solve j(w) = 0.
-569, -1
Let r(i) be the first derivative of -5*i**3/3 + 185*i**2 + 2835*i + 10318. Solve r(w) = 0 for w.
-7, 81
Let m be (-45)/(-20) - (-3)/(-12). Solve 168*z**m + 163*z**2 - 232*z + 6728 - 329*z**2 = 0.
58
Let i = 44/667 + 579/1334. Let d(k) be the first derivative of -16*k + 12*k**2 - 4*k**3 - 23 + i*k**4. Factor d(o).
2*(o - 2)**3
Let j(t) = -t**3 - t + 2. Let y(x) = -10*x**3 - 2100*x**2 + 5914*x + 1596. Let d(m) = 6*j(m) + y(m). Factor d(i).
-4*(i - 3)*(i + 134)*(4*i + 1)
Suppose -29*l - 25*l = -4*l + 10*l + 28*l. Suppose l*d**3 + 3/4*d**2 + 1/2*d - 1/4*d**4 + 0 = 0. What is d?
-1, 0, 2
Suppose 3*f - 7*s + 19 = -2*s, 25 = 5*s. Let j(p) be the first derivative of -8/5*p - 2 + 9/5*p**f + 1/10*p**4 - 4/5*p**3. Factor j(h).
2*(h - 4)*(h - 1)**2/5
Let s = 131966/307937 - -1/43991. Suppose 2691/7*q**2 + 174/7*q**3 + s*q**4 + 696*q + 336 = 0. Calculate q.
-28, -1
Let c(v) = 2*v**4 - 2*v**3 - 12*v**2. Let s = 605 + -610. Let j(n) = n**4 - n**3 - 6*n**2. Let i(w) = s*j(w) + 2*c(w). Factor i(u).
-u**2*(u - 3)*(u + 2)
Let d be 0 + (-7)/5 - (-645 + 640). Let v(u) be the first derivative of -14/3*u**3 + d*u**5 - 4*u - 11/2*u**4 - 2 + 11*u**2. Factor v(x).
2*(x - 1)**2*(x + 1)*(9*x - 2)
Let c = 1/8125 + 4871/32500. Let i(j) be the second derivative of c*j**5 + 14*j + 7/2*j**3 + 9/2*j**2 + 5/4*j**4 + 0. What is o in i(o) = 0?
-3, -1
Let t(j) be the second derivative of j**6/6 + 27*j**5/4 - 5*j**4/4 - 395*j**3/6 + 135*j**2 - 6046*j. Suppose t(p) = 0. Calculate p.
-27, -2, 1
Let a(p) be the second derivative of 1 + 0*p**2 - 1/24*p**4 + 1/40*p**5 + 2*p - 1/6*p**3. Factor a(n).
n*(n - 2)*(n + 1)/2
Let m(l) be the first derivative of 5*l**3/3 - 1500*l**2 - 6020*l + 6978. Solve m(y) = 0 for y.
-2, 602
Find q such that -18*q**3 - 429*q**4 + 449*q**4 + 6*q**5 - 80*q**2 - q**5 - 2*q**3 = 0.
-4, -2, 0, 2
Let s = 102354 + -102351. Let 19/7*t**s - 2/7*t**2 + 2/7 - 19/7*t = 0. Calculate t.
-1, 2/19, 1
Suppose 24*d = -192, 2*d + 45 = 2*t - 67. Factor -3/4*x**2 - t*x - 768.
-3*(x + 32)**2/4
Let l(z) be the second derivative of 16*z**4 + 15*z**2 + z - 51 - 41/2*z**3 - 1/14*z**7 - 69/10*z**5 + 7/5*z**6. Factor l(k).
-3*(k - 10)*(k - 1)**4
Let t(c) be the third derivative of 3/8*c**4 + 1/30*c**5 + 0 + 173*c**2 - 5/6*c**3 + 0*c. Determine j, given that t(j) = 0.
-5, 1/2
Suppose 2*h + 1773 = -4*j + 299, 3633 = -5*h + 3*j. Let p = -2182/3 - h. Determine d so that 0 + 7/3*d**5 - 3*d**4 - p*d**3 + 3*d**2 - 2/3*d = 0.
-1, 0, 2/7, 1
Suppose -4 = q - 5*q. Let g(r) = r - 1. Let h(j) = -j**2 - 19*j - 124. Let s = -4240 