 Factor r(v).
3*v*(v + 1)**2
Let v(j) = j**3 - 4*j**2 - 81*j - 124. Let k be v(-6). Suppose -51/4*o**k - 15/4 - 9/8*o**3 - 123/8*o = 0. What is o?
-10, -1, -1/3
Let u be ((-238)/(-126))/(-5 - 104/(-12)). Let y(t) be the second derivative of 0 + 10/11*t**2 - u*t**3 + 10*t + 1/22*t**4. Factor y(x).
2*(x - 5)*(3*x - 2)/11
Let d be 6 + -3 + 3 + -56. Let g be 25/(-2)*40/d. Factor 311 + 5*h**3 - 311 + g*h + 15*h**2.
5*h*(h + 1)*(h + 2)
Let n(p) be the first derivative of 2*p**6/9 - 124*p**5/15 + 190*p**4/3 + 3064*p**3/9 + 1666*p**2/3 + 1156*p/3 - 4899. Determine c, given that n(c) = 0.
-1, 17
Factor -10218144/17*f**2 - 2/17*f**4 - 4434653600/17*f + 8910242464/17 - 7832/17*f**3.
-2*(f - 2)*(f + 1306)**3/17
Let -3*s**3 + 5139/5*s - 294 - 3654/5*s**2 = 0. What is s?
-245, 2/5, 1
Suppose 5 = -3*a + 14. Factor 41*m - 13*m - 13*m + a*m**2 - 12*m.
3*m*(m + 1)
Factor -83276*o**4 - 11449*o**2 + 146*o**3 + 83275*o**4 + 68*o**3.
-o**2*(o - 107)**2
Let g(q) be the second derivative of q**8/84 - 4*q**7/35 + q**6/6 + 125*q**2/2 - 125*q. Let p(i) be the first derivative of g(i). Factor p(w).
4*w**3*(w - 5)*(w - 1)
Let 381/7*i**2 + 3*i**4 - 477/7*i + 237/7*i**3 - 162/7 = 0. Calculate i.
-9, -3, -2/7, 1
Factor -2/3*n**2 - 1656200/3 + 3640/3*n.
-2*(n - 910)**2/3
Suppose 2*m + 5*k = -33 - 116, k - 155 = 2*m. Let g be -1 - (91/m)/1. Solve -4/11 + g*a + 4/11*a**2 - 2/11*a**3 = 0.
-1, 1, 2
What is q in 6*q + 0 - 32/5*q**2 + 2/5*q**3 = 0?
0, 1, 15
Let x(u) = 7*u**2 + 17*u + 10. Let p(v) = -4297 + v**2 + 8*v**2 + v**2 + 4312 + 25*v. Let n(z) = -5*p(z) + 7*x(z). Factor n(c).
-(c + 1)*(c + 5)
Suppose 6/7*q**5 - 16/7*q**3 + 10/7*q - 12/7*q**2 + 8/7*q**4 + 4/7 = 0. What is q?
-2, -1, -1/3, 1
Let t(d) be the third derivative of d**5/72 + 5255*d**4/72 + 5523005*d**3/36 + 4592*d**2. Solve t(x) = 0.
-1051
Let r be 5*(-2 + -6*91/(-210)). Suppose -19 + 7 = -4*w. Find q such that 11*q**2 + w*q**2 + 3*q**r - 17*q**2 = 0.
0, 1
Let p(f) be the first derivative of -115 - 5*f**2 + 1/6*f**3 + 0*f. Factor p(i).
i*(i - 20)/2
Let f be (-113312)/(-126) + (-160)/360. Let w = 900 - f. Let -8/7 + w*n**2 + 2/7*n**3 - 2/7*n = 0. Calculate n.
-4, -1, 1
Factor -22/3*f - 25 + 1/3*f**2.
(f - 25)*(f + 3)/3
Let z = -637491/4 - -159373. Factor 3/4*i - 5/2 + z*i**2.
(i - 2)*(i + 5)/4
Let b(w) be the second derivative of w**4/12 - 10*w**3/3 + 48*w**2 - 327*w - 3. Determine n so that b(n) = 0.
8, 12
Let x(h) = -h**2 - 4*h + 2. Let w be x(-4). Let m = 13712/20559 - 2/6853. Factor 0*i + 0 - 1/3*i**5 - 4/3*i**4 - 5/3*i**3 - m*i**w.
-i**2*(i + 1)**2*(i + 2)/3
Suppose -8*v = -1007 - 1425. Let q = -301 + v. Let -q*g**2 - 17/8*g**3 - 1/2*g**4 - 13/8*g - 1/4 = 0. Calculate g.
-2, -1, -1/4
Factor 30*z + 41/6*z**2 + 1/6*z**3 + 0.
z*(z + 5)*(z + 36)/6
Let o = -185918 + 185921. Determine w so that 2/23*w**4 - 8/23*w**2 + 0 + 0*w**o + 0*w = 0.
-2, 0, 2
Let c(j) be the first derivative of -3*j**4/28 + 1251*j**3/7 - 1565001*j**2/14 + 217535139*j/7 - 3571. What is v in c(v) = 0?
417
Let x(m) = m**3 - 51*m**2 + 685*m - 649. Let g(f) = f**2 - 3*f + 1. Let y(h) = -14*g(h) + x(h). Factor y(w).
(w - 51)*(w - 13)*(w - 1)
Let u(q) = 5*q**4 - 26*q**3 + 2*q**2 + 2656*q + 9027. Let d(r) = 22*r**4 - 103*r**3 + 6*r**2 + 10622*r + 36109. Let g(c) = 2*d(c) - 9*u(c). Factor g(z).
-(z - 19)**2*(z + 5)**2
Let u(x) be the first derivative of -x**3/3 + 15*x**2 - 56*x + 16. Find n, given that u(n) = 0.
2, 28
Let r be (50/(-120))/(11/19712*32 - (-2)/(-28)). Find x, given that r*x**4 - 8/9*x**5 - 4/3 - 10/9*x + 110/9*x**2 - 50/3*x**3 = 0.
-1/4, 1, 6
Let y(z) be the second derivative of -z**5/40 - 277*z**4/24 - 19043*z**3/12 + 19321*z**2/4 + 72*z. Solve y(a) = 0 for a.
-139, 1
Let d(n) be the first derivative of 6*n**5/25 - 459*n**4/20 - 233*n**3/5 - 117*n**2/5 + 3887. Find j, given that d(j) = 0.
-1, -1/2, 0, 78
Solve -8380*p**4 + 8479*p**4 - 192 + 486*p - p**5 - 31*p**3 - 56*p**3 - 303*p**2 - 2*p**5 = 0 for p.
-2, 1, 32
Let -730*h**2 - 14*h + 30 - 736*h**2 - 2*h**3 + 1452*h**2 = 0. What is h?
-5, -3, 1
Let n(z) = 5*z**2 + 12*z + 3. Let v = -120 - -124. Let l(c) = 9*c**2 + 23*c + 7. Let t(w) = v*l(w) - 7*n(w). Suppose t(d) = 0. Calculate d.
-7, -1
Let l(v) be the first derivative of v**3/4 - 27*v**2/8 + 6*v + 861. Factor l(i).
3*(i - 8)*(i - 1)/4
Let z(m) = -2*m**3 - 2*m - 2. Let p(k) = 12*k**3 + 7692*k**2 + 9861154*k + 4213995546. Let d(s) = p(s) + 5*z(s). Determine t, given that d(t) = 0.
-1282
Suppose 0 = 2*y + 5*p - 8, 3*y + 3*p = 2 + 10. Suppose 6*z + 20 = 10*z - 4*n, 0 = -2*z - n + y. What is x in -288*x**5 + 4*x**z + 285*x**5 - 3*x + 2*x**3 = 0?
-1, 0, 1
Factor -37*s**2 - 464982*s**3 + 264*s**2 + 464984*s**3 - 5776 - 1679*s**2 + 5784*s.
2*(s - 722)*(s - 2)**2
Determine t so that -3/5*t**3 - 54/5*t + 27/5*t**2 + 0 = 0.
0, 3, 6
Let r(f) be the second derivative of 1249/10*f**5 + 20*f**3 - 2*f - 109/5*f**6 + 9/7*f**7 - 487/2*f**4 + 100*f**2 + 45. Find n, given that r(n) = 0.
-2/9, 1/3, 2, 5
Let p(j) be the second derivative of -17 + 1/75*j**6 + 2*j - 7/30*j**4 + 0*j**5 + 2/5*j**3 + 0*j**2. Suppose p(n) = 0. Calculate n.
-3, 0, 1, 2
Suppose -4*a - 22 = -2*w, 6*a + 29 = a + w. Let s be 4/12 - ((-8)/a)/(-2). Suppose 69*i - s - 2*i**2 - 31*i + 13 - 36*i = 0. Calculate i.
-2, 3
Suppose -4*z + 21 = -260*p + 259*p, 0 = p + 9. Factor 0 + 8/11*r**2 + 6/11*r**z + 2/11*r.
2*r*(r + 1)*(3*r + 1)/11
Let n(h) be the third derivative of -33/16*h**4 - 2*h**2 + 9/4*h**3 - 3/8*h**6 + 12*h + 9/140*h**7 - 1/224*h**8 + 23/20*h**5 + 0. Factor n(a).
-3*(a - 3)**2*(a - 1)**3/2
Let w = -128 - -130. Factor -62*q + 179*q - 64*q + 5*q**w - 58*q.
5*q*(q - 1)
Suppose -2*d - 4 = 0, -5*d - 24 + 3 = -f. Let h = f - 9. Factor -m**3 + 0*m**3 + 60*m**2 - 50*m**h - 25*m.
-m*(m - 5)**2
Let j(d) = 2*d**2 + 32*d - 50. Let v be j(-17). Let t be 72/v*4/(-6). Factor t - 9/4*o - 3/4*o**2.
-3*(o - 1)*(o + 4)/4
Let j be (-1 - (693/(-35) - -19))*(-12 - -1). Factor 2*h + j - 1/5*h**2.
-(h - 11)*(h + 1)/5
Suppose -f - 2*p + 1236 = 0, 4*f + 8*p = 3*p + 4947. Let k = 1241 - f. Factor -k - 3/4*a**2 + 3*a.
-3*(a - 2)**2/4
Let i = 703/44 - 107/11. Let h(x) be the second derivative of 5/6*x**3 + 0 - 1/24*x**4 + 2*x - i*x**2. Factor h(m).
-(m - 5)**2/2
Find v, given that 54*v**2 - 17*v - 6*v**4 - 13*v**3 + 26*v - 36*v + 97*v**3 - 9*v**5 = 0.
-3, -1, 0, 1/3, 3
Let y be 6149/91 - 30 - -31. Factor -6/7*g**3 + 384/7 - y*g + 102/7*g**2.
-6*(g - 8)**2*(g - 1)/7
Let w be (20/12)/((-3)/(-189)). Determine l, given that 3*l**3 + 104*l**4 - 2*l**2 + 0*l**2 + 0*l**2 - w*l**4 = 0.
0, 1, 2
Let i be 14/(-8)*448/(-392). Let t(h) be the third derivative of 0*h + 1/10*h**5 + 1/3*h**4 - 4/3*h**3 + 0 - 7*h**i. Let t(o) = 0. What is o?
-2, 2/3
Suppose 34*z = 42*z - 16. Let 23*d - 35 + 59 - 3*d + 4*d**z = 0. Calculate d.
-3, -2
Let d(k) = 11*k**4 - 9*k**4 + 1 - 3 - 7*k**3 - 14*k**2 - 11*k - 1. Let r(z) = -2*z**4 + 8*z**3 + 14*z**2 + 12*z + 4. Let l(o) = 4*d(o) + 3*r(o). Factor l(v).
2*v*(v - 4)*(v + 1)**2
Find w, given that -2/3*w**2 + 504 - 16*w = 0.
-42, 18
Let x(q) be the second derivative of q**4/12 + 7*q**3/2 + 15*q**2 + 31*q. Let j be x(-20). Find p, given that 4*p**3 + 3*p - 5*p + 0*p - 8 - j*p = 0.
-1, 2
Let r(d) be the second derivative of 1/6*d**4 + 16*d**2 + 18*d + 10/3*d**3 + 2. Find v such that r(v) = 0.
-8, -2
Factor -61*w - 68*w + 226*w + 35*w - 4*w**2 + 41 - 289.
-4*(w - 31)*(w - 2)
Let b(r) be the first derivative of -2*r**6 + 57*r**5/5 + 387*r**4/4 + 203*r**3 + 345*r**2/2 + 54*r + 1473. Suppose b(w) = 0. Calculate w.
-2, -1, -1/4, 9
Let z(w) be the third derivative of 0*w**3 + 0*w + 3/20*w**5 + 0 - 107*w**2 - 1/8*w**4 - 1/20*w**6. Find b such that z(b) = 0.
0, 1/2, 1
Factor -64*v + 2/3*v**3 + 1280/3 - 4*v**2.
2*(v - 8)**2*(v + 10)/3
Let r(c) be the first derivative of 2*c**4/19 + 58*c**3/57 + 68*c**2/19 + 104*c/19 - 398. Factor r(j).
2*(j + 2)**2*(4*j + 13)/19
Let u(m) be the first derivative of 1/9*m**3 - 34/3*m + 158 + 5/2*m**2. Factor u(t).
(t - 2)*(t + 17)/3
Let 75*l**3 + 851 + 295 + 3510*l**2 - 4293*l + 150 = 0. What is l?
-48, 3/5
Suppose -14 = -3*l - 29, -g - 18 = -2*l. Let b be (4/g)/(31/(-2480)). Factor -50*s**4 - 8/7 - 290/7*s**2 + b*s + 470/7*s**3 + 14*s**5.
2*(s - 1)**3*(7*s - 2)**2/7
Let m = 24 + -9. Let h(j) = -11 - 5 + 3*j**3 + 0*j**3 + 4 - m*j**2 + 19*j. Let a(g) = 3*g**3 - 15*g**