21). Let 60 + 6*q**5 + 75*q**3 - h*q - 37*q - q**5 - 25*q**2 - 23*q - 43*q**4 + 8*q**4 = 0. What is q?
-1, 1, 2, 3
Let j(f) be the second derivative of 3/4*f**5 - 15*f**2 - 1/6*f**6 - 35/6*f**3 + 0 + 24*f + 5/4*f**4. Factor j(p).
-5*(p - 3)*(p - 2)*(p + 1)**2
Let j be 11 - (-95)/((-2470)/156). Find t such that 4/3*t**3 - 4/3*t**j + 0 + 64/3*t**2 + 16*t - 16/3*t**4 = 0.
-3, -2, -1, 0, 2
Let m(k) = -k**2 + 22*k - 11. Let z be m(18). Let y = 64 - z. Let -625*f**2 + 5*f**5 - 138*f**4 + 375*f**y + 0*f**5 + 63*f**4 = 0. What is f?
0, 5
Let j be (-30)/225 + (10/(-6) - (-2812)/740). Factor -1/4*u**j + 3 - 1/4*u.
-(u - 3)*(u + 4)/4
Suppose -599*a = 696*a - 3885. Let -64/7*h - 48/7 - 4*h**2 - 4/7*h**a = 0. Calculate h.
-3, -2
Suppose 22*g - 24*g = -98. Suppose -15 = 17*y - g. Factor 2/5 + 4/5*c**3 - 2/5*c**5 + 2/5*c**4 - 2/5*c - 4/5*c**y.
-2*(c - 1)**3*(c + 1)**2/5
Let h(u) be the third derivative of -1/24*u**4 + 1/120*u**6 + 0*u + 0 - 1/6*u**3 + 1/60*u**5 - 163*u**2. Factor h(n).
(n - 1)*(n + 1)**2
Let a(l) be the second derivative of l**4/90 - 1034*l**3/45 + 1033*l**2/15 - 6823*l. Let a(v) = 0. What is v?
1, 1033
Factor -2*q**2 - 74 + 148*q - 169 + 54 - 99.
-2*(q - 72)*(q - 2)
Find p such that 4832*p**2 + 5 - 9665*p**2 + 4823*p**2 + 5*p**4 = 0.
-1, 1
Let n(f) be the second derivative of 5 + 0*f**4 + 1/6*f**2 + 1/9*f**3 + f - 1/90*f**6 - 1/30*f**5. Let n(q) = 0. What is q?
-1, 1
Let d(l) be the first derivative of 2*l**6/3 - 344*l**5/15 + 538*l**4/3 + 624*l**3 - 2430*l**2 - 1800*l + 1559. Let d(q) = 0. What is q?
-3, -1/3, 2, 15
Let s(h) be the first derivative of 2*h**3/33 + 406*h**2/11 + 810*h/11 - 3124. Factor s(z).
2*(z + 1)*(z + 405)/11
Let g(y) be the third derivative of y**5/100 - 371*y**4/5 + 1101128*y**3/5 - 2*y**2 - 980. Factor g(n).
3*(n - 1484)**2/5
Let h be 2*(18/9 + (-1)/(-1)). Let f(q) = -8*q**2 - 5*q + 5. Let d(j) = -9*j**2 - 6*j + 6. Let o(a) = h*f(a) - 5*d(a). Factor o(m).
-3*m**2
Let m = 29141509/103461 + 2/34487. Let t = -239 + m. Factor -392*r**2 - 224*r - 686/3*r**3 - t.
-2*(7*r + 4)**3/3
Let r = -12510 + 12518. Let l(v) be the second derivative of 0 + 1/54*v**4 - 1/27*v**3 + 0*v**2 + r*v. Factor l(n).
2*n*(n - 1)/9
Suppose -4*n = -3*r - 1596, 0 = -2*n - 2*n - 4*r + 1568. Let g be (48/n)/(4/6). Factor 6/11*d**2 + 4/11 - 2/11*d**4 + 10/11*d - g*d**3.
-2*(d - 2)*(d + 1)**3/11
Let -10089/7*k - 3/7*k**3 - 351/7*k**2 + 10443/7 = 0. What is k?
-59, 1
Let z = -37 + 39. Suppose -z = -18*q + 17*q. Factor -4*p**2 + 2*p**3 + 0*p**2 + 11*p**2 - 4*p - 9*p**q.
2*p*(p - 2)*(p + 1)
Let k(i) be the second derivative of 3*i**5/20 + i**4 + i**3/2 - 9*i**2 - 1502*i. Factor k(g).
3*(g - 1)*(g + 2)*(g + 3)
Determine h so that -520/7*h**2 + 0 + 10/7*h**4 + 256/7*h - 304/7*h**3 = 0.
-2, 0, 2/5, 32
Suppose 0 = 82*v - 9*v - 233*v + 320. Solve v + 9/5*o - 1/5*o**2 = 0 for o.
-1, 10
Let m = 370 - 634. Let f = -1314/5 - m. Factor -2/5*l**4 - f*l**3 - 4/5*l**2 + 0 + 0*l.
-2*l**2*(l + 1)*(l + 2)/5
Let s(k) be the second derivative of -49*k**4/36 - 12908*k**3/9 - 1700168*k**2/3 + 9461*k. Factor s(m).
-(7*m + 1844)**2/3
Let g(p) = 27*p + 1. Let k be g(-1). Let c be (k/(-4))/(-13) + 1. What is y in -2 - 6*y - 3*y**3 - c*y**4 - 13/2*y**2 = 0?
-2, -1
Let h(t) be the first derivative of 4*t**3/3 - 382*t**2 - 768*t + 686. Let h(i) = 0. What is i?
-1, 192
Let b(s) be the third derivative of -77/8*s**4 - 1/40*s**6 - 4/5*s**5 + 6 - 49*s**3 + s**2 + 0*s. Find w, given that b(w) = 0.
-7, -2
Let t(k) = k + 1. Let r(f) = -f**2 + f - 10. Suppose 3*a = -5*l - 34, -2*a + 0*l + 14 = -4*l. Let b = a + 23. Let z(d) = b*t(d) + 4*r(d). Factor z(i).
-4*(i - 5)*(i - 1)
Let h(y) be the second derivative of -y**5/5 - 64*y**4/3 - 42*y**3 + 1115*y. Find q, given that h(q) = 0.
-63, -1, 0
Factor -185*m**2 - 5*m**5 - 75*m**4 + 922979*m**3 - 23*m - 37*m - 923174*m**3.
-5*m*(m + 1)**3*(m + 12)
Let t = 26147/3 + -8715. Let u(p) be the first derivative of 4 + 18*p + t*p**3 + 6*p**2. Solve u(a) = 0 for a.
-3
Factor 2/13*c**2 + 0 + 990/13*c.
2*c*(c + 495)/13
Let x = -23001 - -46011/2. Let a(u) be the first derivative of 1/6*u**3 - 35 - 3/2*u**2 + x*u. Let a(k) = 0. What is k?
3
Let c = 2799 - 8395/3. Determine w so that 56*w + c*w**2 + 1176 = 0.
-42
Suppose 2*q - 4*b + 44 = 0, 79 = -4*q - b - 0*b. Let v = q + 23. Solve -l**4 + 33*l**2 + 3*l - 6 + 33*l**v + 10*l**4 + 2*l - 2*l = 0 for l.
-2, -1, 1/3
Let r = -6686 - -4670. Let i be (9/60)/((-14)/(r/27)). What is c in 2/5*c**5 + 4/5*c**2 - i*c**4 - 2/5*c + 0 + 0*c**3 = 0?
-1, 0, 1
Let r(z) = z**2 + 11*z + 13. Let l be r(-10). Find b, given that 128*b + 5*b**2 - 9*b**3 + 4*b**l - 78*b + 40 = 0.
-2, -1, 4
Let w be 70*(17/(-85))/((-1)/16). Let v be (4/14)/(48/w). Let -1/3*p**4 + v - p**2 - 4/3*p**3 + 4/3*p = 0. What is p?
-2, -1, 1
Suppose -2*n - 3*n = -15. Suppose -z - 10 = i + n*z, -3*i = 2*z. Let -52*s - 9*s**2 - 72*s**3 - 28*s**4 - 4*s**5 - 12 - 71*s**2 - 8*s**i = 0. Calculate s.
-3, -1
Suppose -1/5*n**3 - 614/5*n**2 + 0 - 94249/5*n = 0. What is n?
-307, 0
Let k(z) = 32*z**2 - 7554*z + 475. Let f be k(236). Factor -6/19*q**f + 8/19*q**2 + 0 + 8/19*q.
-2*q*(q - 2)*(3*q + 2)/19
Factor 10*s**3 - 12*s**3 + 89365*s**2 - 87633*s**2.
-2*s**2*(s - 866)
Let i = 19 + -15. Let s be (i + (-76)/18)*-9. Determine p, given that 21*p**3 - 2*p**4 + 4*p**s + 0*p**2 - 23*p**3 = 0.
-2, 0, 1
Suppose 118 + 298 = -16*u. Let x(k) = 12*k**2 - 56*k + 58. Let s(f) = -3*f**2 + 14*f - 14. Let a(i) = u*s(i) - 6*x(i). Solve a(h) = 0 for h.
2/3, 4
Let x(w) be the first derivative of w**4/18 + 2*w**3/3 - w**2/9 - 2*w - 1058. Factor x(g).
2*(g - 1)*(g + 1)*(g + 9)/9
Let k be (-244)/305*(-2)/((-4)/5*-5). Let v(w) be the second derivative of -k*w**3 + 1/30*w**4 + 0*w**2 + 0 - 6*w. Factor v(g).
2*g*(g - 6)/5
Let x(d) be the second derivative of -22*d**7/315 + 23*d**6/225 + 43*d**5/150 - d**4/45 - 2401*d. Determine q so that x(q) = 0.
-1, 0, 1/22, 2
Let r(i) be the third derivative of -8*i**6/15 + 1304*i**5/15 + 661*i**4/2 + 498*i**3 + 5554*i**2. Find n such that r(n) = 0.
-3/4, 83
Let k = 3339/5 - 10016/15. Let t(y) be the second derivative of 4/3*y**4 + 4/3*y**3 + 0 + 1/2*y**5 + 0*y**2 + 19*y + k*y**6. Factor t(g).
2*g*(g + 1)*(g + 2)**2
Let r(x) be the second derivative of -x**6/10 + 2367*x**5/10 - 155630*x**4 - 789*x**3 + 1867563*x**2/2 + 376*x. Let r(i) = 0. Calculate i.
-1, 1, 789
Let p(s) be the third derivative of 1/45*s**4 + 0*s**3 + 1/180*s**6 + 4/225*s**5 + 0 + 5*s**2 + 1/1575*s**7 - 5*s. Determine f, given that p(f) = 0.
-2, -1, 0
Let -1602*h**2 - 827*h**3 + 15288 + 415*h**3 + 4480*h + 9212*h + 409*h**3 + 3*h**4 = 0. What is h?
-26, -1, 14
Find s such that -548*s - 360 - 23*s**3 - 12*s**2 + 54*s**3 - 52*s**4 - 70*s**4 + 149*s**3 + 126*s**4 = 0.
-45, -1, 2
Let j(p) be the third derivative of -5*p**8/336 + 323*p**7/21 - 9*p**2 - 96*p. Let j(o) = 0. What is o?
0, 646
Let a(x) be the second derivative of x**5/4 + 65*x**4/12 + 25*x**3/3 - 60*x**2 + 369*x. Factor a(m).
5*(m - 1)*(m + 2)*(m + 12)
Let h(v) be the second derivative of -v**7/105 - 4*v**6/25 + 13*v**5/50 + 2*v + 138. Find f such that h(f) = 0.
-13, 0, 1
Let v(c) = 42*c**4 + 1419*c**3 + 11820*c**2 - 2811*c - 1734. Let f(y) = -y**2 + 4*y - y - 5*y + y. Let w(r) = -6*f(r) + v(r). Find t, given that w(t) = 0.
-17, -2/7, 1/2
Suppose 67*x - 662 = -2404. Let u(o) = -o**3 - 25*o**2 + 26*o + 4. Let p be u(x). Factor 7/5*i**3 + 18/5*i**2 + 1/5*i**4 + 8/5 + p*i.
(i + 1)*(i + 2)**3/5
Factor 2453/2*a - 6017209/4 - 1/4*a**2.
-(a - 2453)**2/4
Let v(y) be the third derivative of 5*y**8/336 + 38*y**7/315 + 53*y**6/360 - 5*y**5/9 - 11*y**4/18 + 7796*y**2. Let v(j) = 0. What is j?
-11/3, -2, -2/5, 0, 1
Factor 4860*h**2 - 2765*h**2 - h**4 - 2532*h**2 - 438*h**3.
-h**2*(h + 1)*(h + 437)
Let g(z) be the third derivative of z**5/60 - 7*z**4/12 + 35*z**3/6 + 53*z**2 + 4. Let u be g(11). Factor 0 + 1/9*v**3 - 2/9*v - 1/9*v**u.
v*(v - 2)*(v + 1)/9
Let f be 0 + 2/(-1*(-8)/16). Let s be (f/(-3))/(160/(-384)). Suppose 4*t**2 - s + 6/5*t**3 + 8/5*t = 0. Calculate t.
-2, 2/3
Factor -17820*f - 3645 - 245*f**4 - 18570*f**2 - 5521*f**3 + 901*f**3 - 5100*f**2.
-5*(f + 9)**2*(7*f + 3)**2
Let n(l) be the first derivative of 0*l + 0*l**2 - 6*l**3 + 1/780*l**5 - 18 + 0*l**4 + 1/2340*l**6. Let d(z) be the third derivative of n(z). Factor d(o).
2*o*(o +