0.
-4, -1, 0, 39
Suppose 6*o - 3*o + 12 = 0, 3*z - 47 = 5*o. Let j be (z/(-6))/(9/(-318)). Factor j*k**2 - 40 - 43*k**2 + 20*k - 3*k**3 - 2*k**3.
-5*(k - 2)**2*(k + 2)
Let c(h) be the second derivative of -h**5/12 - 55*h**4/4 - 1815*h**3/2 + 97*h**2/2 + 3*h - 19. Let v(x) be the first derivative of c(x). Solve v(u) = 0.
-33
Let t(a) be the first derivative of -a**6/540 - 4*a**5/45 - 68*a**3/3 + 6. Let q(g) be the third derivative of t(g). Factor q(h).
-2*h*(h + 16)/3
Let g(o) be the second derivative of 4*o**3 - 2 + 1/3*o**4 + 2/15*o**6 + 0*o**2 - 4/5*o**5 + 5*o. Factor g(z).
4*z*(z - 3)*(z - 2)*(z + 1)
Let o(q) = 62*q + 689. Let a be o(-11). Suppose -a*c + 13*c = -8*c. Factor -30/17*f**3 - 32/17*f**2 + c - 8/17*f.
-2*f*(3*f + 2)*(5*f + 2)/17
Let c be (-15)/90 + -1*86/(-12). Suppose c*o - 27 - 15 = 0. Factor 11*p**2 - 43*p**3 + 28*p**3 + 10*p - o*p**2.
-5*p*(p - 1)*(3*p + 2)
Let x(l) = 6*l**2 + 133*l + 26. Let h be x(-22). Let d(z) be the second derivative of -5/12*z**h + 0 - 23*z + 1/4*z**5 + 10*z**2 - 10/3*z**3. Factor d(t).
5*(t - 2)*(t - 1)*(t + 2)
Let n(h) be the third derivative of -h**5/30 - 10*h**4/3 + 41*h**3/3 - 207*h**2. Let n(b) = 0. Calculate b.
-41, 1
Suppose 4*w - 5 = 3*b, 2*w + 2*b - 18 = 2. Let x(f) be the second derivative of 0 - 9/80*f**w - 10*f + 0*f**2 - 1/16*f**4 + 1/4*f**3. Factor x(d).
-3*d*(d + 1)*(3*d - 2)/4
Let i(v) be the second derivative of 0*v**2 - 2 + 79*v - 1/15*v**3 + 1/30*v**4. Factor i(c).
2*c*(c - 1)/5
Let t(l) be the first derivative of 3*l**5/25 + 23*l**4/20 - 8*l**3/15 + 12. Factor t(h).
h**2*(h + 8)*(3*h - 1)/5
Let o(s) be the third derivative of -s**6/40 - 21*s**5/20 - 63*s**4/8 + 85*s**3/2 + 3*s**2 - 1335. Factor o(j).
-3*(j - 1)*(j + 5)*(j + 17)
Let y(b) be the second derivative of b**4/6 - 4*b**3 - 13*b**2 + 1302*b. Factor y(s).
2*(s - 13)*(s + 1)
Let c(y) be the first derivative of 4*y**3/3 - 32*y**2 + 60*y - 57. Let m be c(15). Factor -3/4*g**4 + m*g + 3/4*g**5 - 3/4*g**3 + 0 + 3/4*g**2.
3*g**2*(g - 1)**2*(g + 1)/4
Let u = 202 + -200. Factor -8*y**2 - 62*y**3 + y**5 - 450*y**4 + 435*y**4 - 26*y**2 + 49 + 63*y - u*y**5.
-(y - 1)*(y + 1)**2*(y + 7)**2
Let t(l) = 2*l**3 - 28*l**2 - 4*l + 61. Let m be t(14). Determine w, given that m*w**3 + 210 - 165 - 25*w**2 + 7*w + 8*w = 0.
-1, 3
Suppose -2*a + 5*a - 5*f = -52, -70 = 5*a - 5*f. Let g be a*(2/9)/(-1). Solve 8*p - 28/3 + 4/3*p**g = 0.
-7, 1
Let j(c) be the second derivative of 1/3*c**4 + 52/3*c**3 - 54*c**2 + 8*c - 7. Solve j(n) = 0.
-27, 1
Let j be ((-3)/(-4))/(2125/68 + -31). What is p in -10/9*p**j - 4/9*p**2 + 10/9*p + 4/9 = 0?
-1, -2/5, 1
Let f(m) = -m**2 + 11*m + 276. Let d be (-134)/(-6) + 38/57. Let h be f(d). Determine a so that -3/5*a**2 - 2/5*a**3 + 1/5*a**4 + h*a + 0 = 0.
-1, 0, 3
Let q(p) = -p**2 + 46*p - 3. Let g(u) = 250*u + 1 - 3 - 2*u**2 - 202*u. Let r(m) = 3*g(m) - 2*q(m). Find l, given that r(l) = 0.
0, 13
Let k(j) be the third derivative of j**5/60 - 445*j**4/12 + 198025*j**3/6 - 2*j**2 + 9. What is n in k(n) = 0?
445
Let w(a) be the first derivative of -a**5/15 - a**4/6 + 19*a**3/9 - 14*a**2/3 + 4*a + 154. Let w(o) = 0. What is o?
-6, 1, 2
Let w(q) be the third derivative of -25*q**8/2016 + 2*q**7/21 - 59*q**6/720 - 13*q**5/45 + 7*q**4/12 - 4*q**3/9 - 11*q**2 - 12*q. Solve w(k) = 0 for k.
-1, 2/5, 1, 4
Suppose 4*n + 40 = 4*i, 3*n = 7896*i - 7899*i + 30. Let 1/3*x**2 - 1/3*x + n = 0. Calculate x.
0, 1
Suppose -2*h + 8822 - 3513 = 5*p, -5*p + 4*h = -5327. Let a = p + -4239/4. Factor -a*o**3 - o + 0 - 1/4*o**5 + 3/2*o**4 + 3*o**2.
-o*(o - 2)**2*(o - 1)**2/4
Let s(j) be the first derivative of -4*j**3/9 + 1823*j**2/6 + 152*j + 549. Factor s(u).
-(u - 456)*(4*u + 1)/3
Let g be (4 - ((-8385)/60)/(-43))/((-3)/(-8)). Suppose 148/3*p + 290*p**g + 525*p**3 + 8/3 = 0. Calculate p.
-2/7, -2/15
Let q(a) be the second derivative of a**7/84 + 37*a**6/60 - 101*a**5/20 + 83*a**4/6 - 14*a**3 - 163*a + 3. Let q(b) = 0. Calculate b.
-42, 0, 1, 2
Let -108*h**2 + 2196*h - 2868*h + 105*h**2 = 0. What is h?
-224, 0
Let q(y) be the third derivative of y**7/70 + 277*y**6/40 + 19043*y**5/20 - 19321*y**4/8 + 6*y**2 - 18. Factor q(n).
3*n*(n - 1)*(n + 139)**2
Suppose 3/2*q**2 - 59/4 - 353/4*q = 0. What is q?
-1/6, 59
Let j be 1930/(-2123)*-11*1/3. Let -j - 2/3*h**2 - 4*h = 0. Calculate h.
-5, -1
Let w = 440 - 437. Let n(j) = -8*j**2 + 396*j - 84. Let c(o) = -o**2 + 44*o - 9. Let k(r) = w*n(r) - 28*c(r). Factor k(a).
4*a*(a - 11)
Determine k so that 1272/25*k + 2/25*k**2 + 202248/25 = 0.
-318
Factor -1649/4*p**2 + 680625/4 - 678975/4*p - 1/4*p**3.
-(p - 1)*(p + 825)**2/4
Let n(o) be the second derivative of -o**6/15 + 141*o**5/10 + 143*o**4/3 - 3*o - 81. Factor n(y).
-2*y**2*(y - 143)*(y + 2)
Let u(t) be the third derivative of t**6/30 - 41*t**5/5 + 660*t**4 - 7200*t**3 - 1516*t**2. Factor u(r).
4*(r - 60)**2*(r - 3)
Let c be 6 + (-7)/((-42)/2946). Let j = c + -492. Factor 0*a**4 + 0 + 5/2*a**3 + 0*a**2 - 5/2*a**j + 0*a.
-5*a**3*(a - 1)*(a + 1)/2
Let v(o) = -666*o**2 - 1317*o - 13. Let r(m) = -307*m**2 - 659*m - 6. Let d(q) = 13*r(q) - 6*v(q). Find k such that d(k) = 0.
0, 133
Suppose 5*q = -2*j + 9, 5*j - 77 + 101 = 3*q. Let s(g) be the second derivative of -12*g + 0*g**q + 1/5*g**5 + 0*g**4 + 0*g**2 + 0. Factor s(f).
4*f**3
Find p, given that -943/2*p - 1/2*p**3 - 435 - 37*p**2 = 0.
-58, -15, -1
Let f(a) = 4*a**2 - 1162*a - 16414. Let n be f(304). Factor 30*k - 138/5*k**n - 12/5.
-6*(k - 1)*(23*k - 2)/5
Let f(j) be the first derivative of 3*j**5/20 - 17*j**4/4 + 91*j**3/2 - 441*j**2/2 - 73*j - 54. Let u(y) be the first derivative of f(y). Factor u(n).
3*(n - 7)**2*(n - 3)
Let p(t) be the second derivative of 120*t - 7/54*t**4 - 25/9*t**3 + 22/9*t**2 + 0. Factor p(q).
-2*(q + 11)*(7*q - 2)/9
Factor -36*p**3 + 4352*p - 1432*p**2 - 896 + 3391*p**4 - 7*p**3 - p**3 - 3355*p**4.
4*(p - 4)**2*(p + 7)*(9*p - 2)
Let i(h) be the first derivative of -2*h**3 + 92 + 4101*h + 9*h**2 - 4149*h + 3*h**3. Determine d so that i(d) = 0.
-8, 2
Find z such that -7720/7*z**2 - 2/7*z**5 - 92/7*z**4 - 1656*z - 1402/7*z**3 - 5184/7 = 0.
-18, -8, -1
Factor -2/9*u - 1/9*u**2 + 5/3.
-(u - 3)*(u + 5)/9
Let v(u) = 13*u**2 + 452*u + 445. Let g(l) = 63*l**2 + 2259*l + 2225. Let a(o) = -6*g(o) + 29*v(o). Factor a(b).
-(b + 1)*(b + 445)
Let o(h) = -51*h**2 - 37212*h - 23063892. Let v(c) = -21*c**2 - 14885*c - 9225555. Let x(q) = 5*o(q) - 12*v(q). Suppose x(z) = 0. What is z?
-1240
Let 350*j**2 + 13*j**4 + 225/2*j**3 + 1/2*j**5 + 250*j + 0 = 0. Calculate j.
-10, -5, -1, 0
Let c(g) be the second derivative of -3*g**5/20 - 21*g**4/2 + g**3/2 + 63*g**2 + 7*g - 9. Factor c(w).
-3*(w - 1)*(w + 1)*(w + 42)
Let g(w) = 34*w + 26*w - 2*w**2 + 7*w**2 - 70 + 5*w**2. Let z(r) = -r**2 + 1. Let j(h) = -g(h) - 5*z(h). Suppose j(a) = 0. Calculate a.
-13, 1
Let x(r) be the third derivative of 0*r**5 - 8/105*r**7 - 2*r**2 - 1/168*r**8 + 9/4*r**4 + 0*r**3 + 28 + 0*r - 3/10*r**6. Factor x(y).
-2*y*(y - 1)*(y + 3)**3
Let c = 32 + 140. Factor 0*h**2 - c*h + 188 - 252*h + 11048 + 4*h**2.
4*(h - 53)**2
Let d(i) be the first derivative of i**6/45 + 14*i**5/15 + 69*i**4/5 + 712*i**3/9 + 280*i**2/3 - 2121. Find z such that d(z) = 0.
-14, -10, -1, 0
Let r(g) = 6*g**3 - 1066*g**2 + 8. Let p(k) = 4*k**3 - 710*k**2 + 5. Let h(i) = 8*p(i) - 5*r(i). Factor h(a).
2*a**2*(a - 175)
Let p(s) = -s + 3. Let b be p(-6). Suppose 17*j = b*j + 24. Factor 4*h**4 - 7*h**2 + 3*h**2 - 6*h**j + 2*h**3 + 0*h**4 + 4*h**5.
4*h**2*(h - 1)*(h + 1)**2
Let p(g) be the first derivative of -64*g**2 + 3*g - 16*g**3 - 2*g**4 + 41 - 1/10*g**5. Let z(m) be the first derivative of p(m). Find h such that z(h) = 0.
-4
Let w(i) = -i**2 + i - 2. Let r(o) = -o**2 - 153*o + 428. Let v(f) = -r(f) + 2*w(f). Let k(d) = 52*d - 144. Let z(a) = -11*k(a) + 4*v(a). Factor z(n).
-4*(n - 6)**2
Let p(a) be the first derivative of a**5/15 - 5*a**4/3 + 6*a**3 + a**2/2 + 135*a - 116. Let x(u) be the second derivative of p(u). Factor x(v).
4*(v - 9)*(v - 1)
Let n = 1074 - 584. Let v = 1478/3 - n. Factor 4/3 + 10/3*s + v*s**2 + 2/3*s**3.
2*(s + 1)**2*(s + 2)/3
Let v be 4/3*(-150)/(-100). Determine b so that -1257 - 3*b**v + 160*b - 3*b**2 - 787 + 2*b**2 + 444 = 0.
20
Let r(f) be the second derivative of -f**4/4 + 13*f**3 - 132*f**2 - 5809*f. What is k in r(k) = 0?
4, 22