 1)*(q + 1)*(q + 2)
Suppose 0 = -3*d + 1 + 5. Suppose 5*h + 16 = -d*k + k, 5*k - 5*h = 40. Suppose -7*t**3 + 28*t**5 - 3*t**3 + 20*t**k + 2*t**3 = 0. Calculate t.
-1, 0, 2/7
Factor 1181*l**2 + 3*l**3 + 0*l**3 + 1598248*l - 6230*l**2 - 1473220*l - 529675443 + 2707461*l.
3*(l - 561)**3
Let m be 8/(9*9/81*(-85)/(-5)). Find o such that 38/17*o**3 - m*o - 16/17*o**2 - 14/17*o**4 + 0 = 0.
-2/7, 0, 1, 2
Let s = 22142 - 110701/5. Let f be 0 + -1 + 12/10. Find i such that -6/5*i + s + f*i**2 = 0.
3
Let j = 498 - 492. Let n be ((-99)/9)/(j/(72/(-114))). Factor 4/19*t**3 - n*t - 6/19*t**2 + 12/19.
2*(t - 3)*(t + 2)*(2*t - 1)/19
Let x(q) be the second derivative of 11*q + 1/3*q**4 + 0*q**3 - 1/5*q**5 - 2/15*q**6 + 0*q**2 - 1 + 2/21*q**7. Factor x(r).
4*r**2*(r - 1)**2*(r + 1)
Let d(n) be the first derivative of -4*n**3/3 - 590*n**2 - 6793. Factor d(k).
-4*k*(k + 295)
Let y(s) be the first derivative of -7*s**6/2 + 2022*s**5/5 - 555*s**4/4 - 674*s**3 + 288*s**2 + 9914. Determine c so that y(c) = 0.
-1, 0, 2/7, 1, 96
Let p = -8085361/13 - -621951. Let 0*w + p*w**4 + 6/13*w**2 + 0 - 8/13*w**3 = 0. Calculate w.
0, 1, 3
Let h = 751/927 + -72/103. Let u(k) be the second derivative of 0 - h*k**6 - 5/12*k**2 + 13/24*k**5 + 35/36*k**3 - 25/24*k**4 + 10*k. Factor u(p).
-5*(p - 1)**3*(4*p - 1)/6
Let t be (45/10 + -2)*2. Suppose 0 = -2*f + t + 3. Factor -35*o**3 - o**f - 145 + 116*o**2 + 185 + 6*o**4 - 100*o - 26*o**2.
5*(o - 2)**3*(o - 1)
Let d = 227 - 66. Suppose -44*v**3 - 7*v**4 - 56*v**2 + d*v - 177*v - 3*v**4 = 0. What is v?
-2, -2/5, 0
Let o(m) be the first derivative of -m**3/8 + 789*m**2/8 + 1581*m/8 + 4014. Factor o(p).
-3*(p - 527)*(p + 1)/8
Let y be (-3232)/(-192) + -10 - 39/6. Solve 8/3 - y*w**2 + 7/3*w = 0 for w.
-1, 8
Let d(r) = 17*r**2 - 12*r + 12. Let t be d(6). Factor 4*k**2 - 27 + 4041 + 906 - t*k + 14124.
4*(k - 69)**2
Factor -2750 - 1390 - 5*c**4 - 1545*c + 305*c**2 + 5649*c**3 - 5544*c**3.
-5*(c - 23)*(c - 4)*(c + 3)**2
Let h(f) = 2*f**2 + 46*f + 44. Let i be h(-22). Let w be -109 + 103 - (-42 - i). Solve -w*c**3 + 192/7*c**5 - 69/7*c**2 - 6/7*c - 240/7*c**4 + 0 = 0.
-1/4, 0, 2
Let t be (-4)/(-10)*(-9)/(-2). Let l(k) = -3*k**2 - 4*k + 1047. Let o be l(18). Solve -3/5*w**o + 9/5*w**2 + 3/5 - t*w = 0 for w.
1
Suppose 1704 = -m + 1881. Suppose 6*t + m = 195. Find j such that -1/10*j**4 - 3/10*j**t + 3/10*j**2 - 3/5 + 7/10*j = 0.
-3, -2, 1
Let h(n) = 15*n**3 - 2*n**2 + 2*n + 1. Let k be h(-2). Let a = 321 + k. Factor a*t**2 + 5*t**4 + 15*t**3 - 190*t**2.
5*t**3*(t + 3)
Let a(b) be the second derivative of -20/3*b**3 + b + 0 + 23/2*b**2 - 75/4*b**4. Let q(j) = -450*j**2 - 80*j + 45. Let k(x) = 5*a(x) - 3*q(x). Factor k(p).
5*(5*p + 2)*(9*p - 2)
Let o be (21 + (-4601)/215)*-10. Factor 18/5*n + 1/5*n**o + 0*n**3 - 11/5*n**2 - 8/5.
(n - 2)*(n - 1)**2*(n + 4)/5
Factor 7*i + 0*i**2 - 2*i**2 - 40*i - 92 + 14*i + 3*i**2.
(i - 23)*(i + 4)
Let h(n) be the second derivative of -5*n**7/252 + 23*n**6/60 - 83*n**5/40 + 311*n**4/72 - 7*n**3/2 - 6479*n. Determine q, given that h(q) = 0.
0, 1, 14/5, 9
Let q = 223658 - 223655. Let -12/5 + 2*b - 222/5*b**q - 28/5*b**5 + 106/5*b**2 + 146/5*b**4 = 0. What is b?
-2/7, 1/2, 1, 3
Let n(m) be the third derivative of m**5/12 + 10*m**4/3 + 70*m**3/3 - 2000*m**2. Solve n(r) = 0 for r.
-14, -2
Determine q so that -47*q - 52*q + 3*q**2 - q**2 + 111*q = 0.
-6, 0
Let y(h) be the first derivative of -2*h**3/3 + 11*h**2 - 3*h + 8. Let t be y(10). Factor 5*m**3 - 3*m**2 + 8*m**3 - 5*m**4 + 7*m**3 - t*m**2.
-5*m**2*(m - 2)**2
Find b such that -70 - 84*b + 255*b - 45*b - 5*b**2 - 103*b - 98*b = 0.
-14, -1
Let b(y) be the first derivative of 63 - 97/2*y**2 + 329/3*y**3 + 7*y + 49/4*y**4. Factor b(i).
(i + 7)*(7*i - 1)**2
Let t(c) = 11*c**2 - 210*c + 1519. Let b(d) = 5*d**2 - 105*d + 748. Let a(q) = 5*b(q) - 2*t(q). Factor a(g).
3*(g - 26)*(g - 9)
Let t(n) = 5*n + 57. Let a be t(-11). Factor -17*o**4 - o + 5*o**5 - 4*o + 27*o**4 - 10*o**a.
5*o*(o - 1)*(o + 1)**3
Let h(j) be the first derivative of -j**3/3 - 571*j**2 - 326041*j - 687. Determine w, given that h(w) = 0.
-571
Let a(g) = 3*g**2 - 11*g + 69. Let y be a(7). Find n, given that y*n + 138*n - 6*n**2 - 268*n + 14 - n**3 = 0.
-7, -1, 2
Let p = 5895 - 3935. What is u in 1897*u**3 - 75 + 6*u**4 - 45*u + 39*u**2 - p*u**3 + 138*u**2 = 0?
-1/2, 1, 5
Let r(m) be the third derivative of -m**7/210 - 29*m**6/5 - 15138*m**5/5 - 878004*m**4 - 152772696*m**3 - 913*m**2. Solve r(n) = 0.
-174
Suppose 854*w - 849*w - 14930 = -5*i, 4*i - 2*w = 12028. What is u in 705/2*u**2 + 87/2*u**3 - i - 3/2*u**5 - 300*u - 21/2*u**4 = 0?
-5, 4
Suppose 1304/7*n**3 + 213858/7 + 2/7*n**4 - 426408/7*n + 211244/7*n**2 = 0. What is n?
-327, 1
Factor 516/5*m - 1232 + 4/5*m**2.
4*(m - 11)*(m + 140)/5
Let i(c) be the third derivative of c**5/75 - 139*c**4/5 + 1666*c**3/15 - 112*c**2 + 2*c. Factor i(q).
4*(q - 833)*(q - 1)/5
Let z(f) be the third derivative of f**7/168 - 19*f**5/48 + 25*f**4/16 - 4110*f**2. Factor z(y).
5*y*(y - 3)*(y - 2)*(y + 5)/4
Let v(u) = 3*u**2 - 75*u - 495. Let y(a) = -3*a**2 + 78*a + 495. Let m(n) = -2*v(n) - 3*y(n). Find d such that m(d) = 0.
-5, 33
Find f such that -121/2*f + 61/2*f**2 - 1 = 0.
-1/61, 2
Let u(v) be the third derivative of -1/570*v**5 + 0 + 0*v + 1/1140*v**6 + 2/1995*v**7 + 0*v**4 - 81*v**2 + 0*v**3. Determine i, given that u(i) = 0.
-1, 0, 1/2
Let t(d) be the second derivative of d**6/72 + d**5/12 - 5*d**4/8 - 59*d**3/6 + 13*d. Let w(v) be the second derivative of t(v). Factor w(g).
5*(g - 1)*(g + 3)
Suppose -7*v = n + 5429, 0 = -3*v - 4*n - 822 - 1519. Let m = 777 + v. Let -6/13*s - 4/13 - 2/13*s**m = 0. What is s?
-2, -1
Let l be -1 - (-9)/18*(129 - 3). Suppose -38*u + l + 52 = 0. Solve 5*g**2 + 0 - 25/4*g**u - g = 0.
0, 2/5
Let n(p) be the second derivative of 69*p - 3888*p**2 + 0 - 6*p**4 + 1/15*p**5 + 216*p**3. Factor n(x).
4*(x - 18)**3/3
Let q(v) be the first derivative of -v**7/14 - v**6/72 + v**5/2 + 5*v**4/24 + v**3/3 + 79*v - 201. Let w(r) be the third derivative of q(r). Factor w(b).
-5*(b - 1)*(b + 1)*(12*b + 1)
Let q = 244459 - 1711165/7. Let -q*y - 114/7*y**3 + 468/7*y**2 + 0 = 0. Calculate y.
0, 2/19, 4
Let i(y) = -8*y**2 + 747*y - 717. Let s(t) = 3*t**2 - 250*t + 239. Let d(g) = -4*i(g) - 11*s(g). Factor d(k).
-(k - 1)*(k + 239)
Let f be (-2)/((-2 - -5)*6/9). Let n be 6/(-4)*(0 + (-3 - f)). Factor 0 + 7/6*z**2 - 1/3*z + 2/3*z**n.
z*(z + 2)*(4*z - 1)/6
Let m(n) be the third derivative of n**6/360 - 7*n**5/120 + 5*n**4/12 - 95*n**3/6 - 47*n**2. Let z(w) be the first derivative of m(w). Factor z(k).
(k - 5)*(k - 2)
Let w(p) be the second derivative of -p**5/80 + 35*p**4/48 + 125*p**3/24 - 9375*p**2/8 + 15*p + 17. Factor w(k).
-(k - 25)**2*(k + 15)/4
Let b(d) be the second derivative of d**6/135 - 67*d**5/90 + 131*d**4/54 - 65*d**3/27 + 3946*d. Factor b(p).
2*p*(p - 65)*(p - 1)**2/9
Suppose -24*g = -24523 - 13637. Factor -12*v**3 + g*v**4 - 1594*v**4 + 2*v**5 - v**5.
v**3*(v - 6)*(v + 2)
Let g = 1391320 - 1391316. What is y in 2/5*y**2 - 12/5*y + 1/5*y**5 - 8/5 + 6/5*y**g + 11/5*y**3 = 0?
-2, -1, 1
Suppose f = -4*j + 1 - 19, 0 = -f - j - 12. Let s be -2 + 12/f*(-20)/6. Find v, given that 1/4*v**s - 1/4*v**4 + 0 + 0*v**3 + 0*v = 0.
-1, 0, 1
Suppose -177*q - 66532 = -26*q - 66985. Solve -15/7*m**2 + 81/7*m + 30/7 - 15/7*m**4 - 81/7*m**q = 0 for m.
-5, -1, -2/5, 1
Let p(t) be the third derivative of 3*t**8/28 - 8*t**7/5 + 10*t**6/3 - 32*t**5/15 + 72*t**2 - 3. Determine u, given that p(u) = 0.
0, 2/3, 8
Let y(m) be the second derivative of 7*m**5/16 + 585*m**4/8 + 4465*m**3/24 + 495*m**2/4 + 1259*m. What is q in y(q) = 0?
-99, -1, -2/7
Let y(v) be the third derivative of 1/105*v**7 + 4*v**3 - 1/3*v**4 - 3*v + 11*v**2 - 3/10*v**5 + 0 + 0*v**6. Let y(f) = 0. Calculate f.
-2, 1, 3
Let j(d) be the second derivative of d**6/6 + 91*d**5/2 - 1835*d**4/12 + 460*d**3/3 - 15175*d. Solve j(h) = 0 for h.
-184, 0, 1
Let i(r) = r**3 - 24*r**2 + 107*r - 1932. Let n be i(23). Let t = 3 + -11/4. Suppose -3/4*y**2 + 1/4*y**5 - t*y**3 + n*y + 3/4*y**4 + 0 = 0. Calculate y.
-3, -1, 0, 1
Let o(y) be the third derivative of -y**5/72 - 31*y**4/24 + 38*y**3/9 + y**2 - 572. Factor o(d).
-(d + 38)*(5*d - 4)/6
Suppose -8*a**5 - 16*a**3 - 4*a**3 - 12*a**2 - 2*a**5 - 16*a**4 + 60*a**4 - 2*a**