 - 4200*l + 367621. Let v(r) = 4*g(r) - 11*q(r). Factor v(x).
4*(x - 175)**2
Let b(a) be the third derivative of -a**5/20 - 19*a**4 - 150*a**3 - 3485*a**2. Factor b(q).
-3*(q + 2)*(q + 150)
Let a(h) be the first derivative of -h**4/7 + 20*h**3/7 - 76*h**2/7 + 96*h/7 + 6482. Find j such that a(j) = 0.
1, 2, 12
Let u(d) be the second derivative of -d**6/10 - 12*d**5/5 - 18*d**4 + 648*d**2 - 1332*d. Let u(o) = 0. Calculate o.
-6, 2
Find u, given that -6*u**2 - 1697*u**5 + 25*u**2 + 18*u**4 + 1700*u**5 + 33*u**3 - u**2 = 0.
-3, -2, -1, 0
Let j be (-20868)/(-2072) - (-1 + 11). Let y(d) be the second derivative of 0 + j*d**3 - 1/14*d**4 + 3/140*d**5 + 0*d**2 - d. Factor y(l).
3*l*(l - 1)**2/7
Suppose -13*r - 692 - 16598 = 0. Let n = 5323/4 + r. Find a such that 0 + n*a + 3/4*a**2 = 0.
-1, 0
Factor 1647/2*q + 3/8*q**2 + 904203/2.
3*(q + 1098)**2/8
Suppose -8*s + 6*s = -9*s. Let b be (s/(-1))/((-144)/72). Factor b - 4/9*y**5 + 4/9*y**3 + 0*y - 4/9*y**2 + 4/9*y**4.
-4*y**2*(y - 1)**2*(y + 1)/9
Let a(r) = 7*r**3 + 371*r**2 - 737*r + 359. Let o(n) = 216*n + 153*n - 186*n**2 - 32 - 82 + 27 - 93 - 3*n**3. Let x(q) = 6*a(q) + 13*o(q). Factor x(b).
3*(b - 62)*(b - 1)**2
Let d = -103803 + 103805. Factor 0*k**3 - 3/4*k**4 + 3/4*k**d + 0 + 0*k.
-3*k**2*(k - 1)*(k + 1)/4
Let r(d) be the second derivative of 0*d**2 + 56*d - 1/180*d**6 - 1 + 0*d**3 + 0*d**4 + 3/20*d**5. Factor r(a).
-a**3*(a - 18)/6
Let s be 3 - -1 - (-2 - 66/210*-10). Find j such that -s - 2/7*j**2 - 2*j = 0.
-5, -2
Suppose 1222*b**2 + 54*b**4 + 14276*b**2 + 206763 - 8*b**3 + 380*b**3 + 221892*b - 51*b**4 = 0. What is b?
-41, -1
Suppose -74 = -4*c + 6*b - 4*b, 46 = 2*c - 4*b. Find v such that -62*v - 63*v**2 - 9*v**4 - 43*v + c*v**3 + 8*v**4 + 24*v = 0.
-1, 0, 9
Let y = -318 - -1027. Let s = 2177/3 - y. Suppose -2/3*n**2 + 20/3*n - s = 0. What is n?
5
Factor -13/2 + 1/2*k**3 - 1/2*k + 13/2*k**2.
(k - 1)*(k + 1)*(k + 13)/2
Factor -74/9*l + 0 + 149/9*l**2 + 1/9*l**4 - 76/9*l**3.
l*(l - 74)*(l - 1)**2/9
Let g = -387 - -392. Suppose g*l**2 + 2*l**2 - 9*l**2 - 2*l**2 = 0. What is l?
0
Let g(c) = 87*c**3 - 291*c**2 + 633*c + 927. Let n(r) = 333*r**3 - 1166*r**2 + 2531*r + 3708. Let t(v) = -23*g(v) + 6*n(v). Factor t(h).
-3*(h - 3)*(h + 1)*(h + 103)
Let v(l) be the second derivative of l**7/3360 - 7*l**6/240 - 3*l**5/8 + 33*l**4/4 + 31*l. Let g(t) be the third derivative of v(t). Solve g(a) = 0.
-2, 30
Let u(f) = 16*f**4 - 985*f**3 - 4096*f**2 - 4151*f. Let s(h) = 4*h**4 - 246*h**3 - 1024*h**2 - 1038*h. Let b(c) = -9*s(c) + 2*u(c). Factor b(r).
-4*r*(r - 65)*(r + 2)**2
Let d(c) be the first derivative of -1/50*c**5 - 1/10*c**4 + 0*c - 1/600*c**6 + 15 + 0*c**2 + 1/3*c**3. Let v(p) be the third derivative of d(p). Factor v(q).
-3*(q + 2)**2/5
Let x(j) be the second derivative of 2*j**6/15 - 33*j**5/5 - 143*j**4/3 - 122*j**3 - 148*j**2 - 4*j - 24. Factor x(a).
4*(a - 37)*(a + 1)**2*(a + 2)
Let m(g) be the second derivative of -g**9/37800 + g**8/8400 + g**7/2100 + 29*g**4/12 + g - 14. Let t(l) be the third derivative of m(l). Factor t(y).
-2*y**2*(y - 3)*(y + 1)/5
Let u be 2 - (-6 - (-5 - -1)). Factor 1543*g**u - 2*g + 3*g**2 + 0*g - 1544*g**4.
-g*(g - 1)**2*(g + 2)
Let g be (-5)/15 - 32/(-6). Suppose 4*q - 4*o = 20, -4*q - 5*o = -g*q + 17. Factor 2 + 4*b**4 + 2*b**2 - q - 6*b**2.
4*b**2*(b - 1)*(b + 1)
Let r = -3227976/5 + 645672. Factor 168/5*z**2 + 2/5*z**4 + r + 416/5*z + 6*z**3.
2*(z + 3)*(z + 4)**3/5
Let o(g) be the third derivative of 2*g**7/15 - 37*g**6/30 - 193*g**5/15 + 793*g**4/6 - 140*g**3 + 1661*g**2. Suppose o(l) = 0. What is l?
-5, 2/7, 3, 7
Let r be 99/12 + 2 + (-9)/4. Let q be ((-4)/r)/(2/(-12)). Let -4/17 + 14/17*w + 4/17*w**2 - 14/17*w**q = 0. Calculate w.
-1, 2/7, 1
Let q(y) be the third derivative of -y**6/40 - 1455*y**5/4 - 17641875*y**4/8 - 14260515625*y**3/2 + 6*y**2 + y - 7. Factor q(x).
-3*(x + 2425)**3
Let z = 231 - 563. Let c = z - -2990/9. Find a such that 0*a + 0 - 4/9*a**2 - c*a**3 = 0.
-2, 0
Let s(j) be the second derivative of -j**5/50 + 5*j**4/6 - 158*j**3/15 + 224*j**2/5 - 783*j. Factor s(z).
-2*(z - 16)*(z - 7)*(z - 2)/5
Solve 2/5*v**4 + 4*v**2 - 112/5 + 18/5*v**3 - 72/5*v = 0 for v.
-7, -2, 2
Let l be (-10)/(-5) - -7*(-6)/21. Suppose l = -20*k + 29 + 51. Find p such that 8/9*p**5 + 0 + 4/9*p**k + 4/9*p - 4/3*p**3 - 4/9*p**2 = 0.
-1, 0, 1/2, 1
Suppose 106*g + 1387 = 1599. Let k(d) be the second derivative of -19*d + 0 + 1/13*d**3 + 0*d**g + 1/78*d**4. Solve k(t) = 0.
-3, 0
Let p = -1263 + 221. Let h = -1042 - p. Suppose 0*o + h + 0*o**2 + 1/10*o**4 + 1/5*o**3 = 0. What is o?
-2, 0
Let b be ((-4)/(-16))/(19/3572). Let w = b + -45. Factor 0*p + 0 - 1/2*p**4 + 0*p**w + 1/2*p**5 + 0*p**3.
p**4*(p - 1)/2
Factor -6/11*u**2 + 0 - 282/11*u.
-6*u*(u + 47)/11
Let a(i) be the first derivative of 3*i**4/32 - 317*i**3/8 + 945*i**2/8 - 4940. Factor a(p).
3*p*(p - 315)*(p - 2)/8
Let c(t) be the second derivative of -t**5/20 - 17*t**4/4 - 25*t**3/3 + 748*t. Factor c(y).
-y*(y + 1)*(y + 50)
Suppose 12*y - 16*y = 4*b - 256, 5*b = 4*y - 247. Let i be (-6)/y*(-5 - 2). Factor -i*h + 1/3*h**4 + 0 + 0*h**3 - h**2.
h*(h - 2)*(h + 1)**2/3
Suppose 0 = -23*s + 32*s - 12 - 69. Let h(y) be the first derivative of 0*y + s + 0*y**4 + 0*y**2 - 1/9*y**3 + 1/15*y**5. Factor h(r).
r**2*(r - 1)*(r + 1)/3
Let q(z) be the second derivative of z**7/16380 - z**6/195 - 185*z**4/12 + 197*z. Let d(l) be the third derivative of q(l). Factor d(x).
2*x*(x - 24)/13
Let z(w) be the second derivative of -w**5/5 - 140*w**4/3 - 3358*w**3 - 19044*w**2 - w - 1639. Factor z(k).
-4*(k + 2)*(k + 69)**2
Let x = 3447266/7 + -492464. Let 12/7*c - x - 2/7*c**2 = 0. What is c?
3
Let u = -3327 + 4783. Let o = u + -1453. Find r such that 1/2*r**2 - 3/4*r**o + 0*r + 0 + 1/4*r**4 = 0.
0, 1, 2
Let k be (308 + -292)/(5 + -1). Let s(f) be the third derivative of -1/100*f**5 + 1/30*f**3 + 0*f - 1/60*f**k + 11*f**2 + 0. Factor s(l).
-(l + 1)*(3*l - 1)/5
Factor 0 + 135*g**2 + 3/2*g**4 - 276*g + 279/2*g**3.
3*g*(g - 1)*(g + 2)*(g + 92)/2
Solve -50892 + 101681 - 24*k - 50849 + 3*k**2 = 0.
-2, 10
Let i(q) be the first derivative of q**4/2 - 20*q**3 - 97*q**2 - 132*q - 5795. Factor i(t).
2*(t - 33)*(t + 1)*(t + 2)
Factor 4350*p**2 - 22062 + 76000*p + 5*p**4 - 355*p**3 - 59231 + 1293.
5*(p - 40)**2*(p - 1)*(p + 10)
Let l(b) be the third derivative of b**8/448 + 15*b**7/56 - b**6/2 - 15*b**5/4 + 19*b**4/2 + b**2 - 85*b - 10. Suppose l(k) = 0. What is k?
-76, -2, 0, 1, 2
Let o(m) = -m**2 + 8*m + 24. Let c be o(8). Suppose -c = -3*q - 3*q. Factor -6*h + 4 - 1 - 551*h**4 + 548*h**q + 6*h**3.
-3*(h - 1)**3*(h + 1)
Let f = -2/83759 + 167560/1758939. Factor 0 + 0*w**2 - 2/7*w**3 - f*w**4 + 8/21*w.
-2*w*(w - 1)*(w + 2)**2/21
Let a be (196/70 - 1)/(6/10). Factor 3/4*s**2 - a + 0*s.
3*(s - 2)*(s + 2)/4
Find b such that 301*b**2 + 3487 + 4188 + b**3 - 124*b**2 - 1170*b - 1062*b - 871 = 0.
-189, 6
Let s(m) = -m**2 - 33*m - 140. Let v be s(-4). Let b be -4 + 0 - 1/(6/v). Determine t so that -8/3*t**2 + 0*t + b - 2/3*t**5 - 10/3*t**4 - 16/3*t**3 = 0.
-2, -1, 0
Let p(v) = -174*v + 47. Let t be p(1). Let i = t - -127. Factor -1/3*o**5 + o**3 + 0*o + i*o**4 - 2/3*o**2 + 0.
-o**2*(o - 1)**2*(o + 2)/3
Let l(t) = -t**3 - 32*t**2 - 131*t + 23. Let c be l(-5). Let f(g) be the first derivative of 0*g - 3 + 2/3*g**c - 4*g**2. Factor f(x).
2*x*(x - 4)
Let j(i) be the second derivative of -5 + 16*i - 1/60*i**4 + 7/15*i**3 - 13/10*i**2. Determine p so that j(p) = 0.
1, 13
Let l(u) be the first derivative of -u**4/3 + 7*u**3/6 - 3*u**2/2 + 34*u - 30. Let x(q) be the first derivative of l(q). Let x(p) = 0. What is p?
3/4, 1
Let s = 42513 - 42466. Let z(x) be the second derivative of 1/45*x**6 + 1/9*x**4 + 0*x**3 - s*x - 1/10*x**5 + 0 + 0*x**2. Factor z(b).
2*b**2*(b - 2)*(b - 1)/3
Suppose 60 + 12 = 6*p. Solve -9*b - 319*b**5 + 637*b**5 + 12*b**2 - p*b**4 - 315*b**5 + 6*b**3 = 0.
-1, 0, 1, 3
Let g = 19053/35 + -54779/105. What is x in -640*x**2 - 2096/3*x**3 - g*x**5 + 256/3*x + 0 - 224*x**4 = 0?
-4, -2, 0, 2/17
Let x = -16000 - -192001/12. Let t(r) be the first derivative of 0*r + 29 + 1/30*r**5 + 1/6*r**2 - 1/18*r**3 - x*r**4. Determine y so that t(y) = 0.
-1, 0, 1, 2
Suppose 933*y - 935*y - 2*n + 4352 = 0, 3*y = -8*n + 6518. Factor -66*w + y + 1/2*w**2.
(w - 66)**2/2
