 369/7 + 3/7*q**3 + 741/7*q = 0. What is q?
1, 123
Let b(l) be the third derivative of 233/12*l**4 - 3/20*l**6 + 23/2*l**5 + 13*l**3 - 60*l + l**2 + 0. Factor b(p).
-2*(p - 39)*(3*p + 1)**2
Let i(q) = -q**2 + 4*q + 7. Let x be i(5). Suppose -10034*v = 5*k - 10038*v + 40, 0 = 3*k + 4*v - 72. Factor -10/3*n + 2/3*n**x + k.
2*(n - 3)*(n - 2)/3
Find g such that -6*g**4 + 4701*g + 216*g**2 + 864 - 3825*g + 3*g**4 - 9*g**3 = 0.
-8, -2, 9
Let f(i) be the third derivative of 119*i**2 + 0*i**3 - 2/105*i**7 + 1/30*i**6 + 0*i**5 + 0*i**4 + 0*i + 0. Factor f(p).
-4*p**3*(p - 1)
Let v(r) be the first derivative of -3*r**4/32 - r**3/8 + 51*r**2/8 - 21*r - 6318. Factor v(c).
-3*(c - 4)*(c - 2)*(c + 7)/8
Let v be 95/38 - (-1)/(-2). Let j be 3 + v*5/(-5). Let k(m) = -8*m**2 - 3*m + 6. Let a(i) = -i**2. Let f(g) = j*k(g) - 5*a(g). Find t such that f(t) = 0.
-2, 1
Let m(u) be the first derivative of -4*u**3/3 - 8774*u**2 - 2377. Solve m(v) = 0.
-4387, 0
Let a(t) be the third derivative of -t**6/90 + 1382*t**5/45 - 79810*t**4/3 + 211600*t**3 + 7135*t**2. Let a(f) = 0. Calculate f.
2, 690
Let s(y) be the third derivative of -y**6/24 - 55*y**5/4 - 15125*y**4/8 - 831875*y**3/6 - 2417*y**2. Factor s(u).
-5*(u + 55)**3
Let k(m) = 12*m**3 + 73*m**2 - 661*m + 576. Let q(p) = -33*p**3 - 201*p**2 + 1818*p - 1584. Let g(d) = -30*k(d) - 11*q(d). Factor g(v).
3*(v - 4)*(v - 1)*(v + 12)
Let h = 5682 - 5680. Let t(k) be the third derivative of -1/30*k**5 - 1/12*k**4 + 1/105*k**7 + 21*k**h + 0 + 1/60*k**6 + 0*k**3 + 0*k. Factor t(m).
2*m*(m - 1)*(m + 1)**2
Factor -5*k**2 + 110/3 - 155/3*k.
-5*(k + 11)*(3*k - 2)/3
Let o(g) be the second derivative of -g**6/660 - g**5/110 + 5*g**4/66 - 47*g**2/2 - 93*g. Let j(i) be the first derivative of o(i). Factor j(p).
-2*p*(p - 2)*(p + 5)/11
Determine h so that -1582563/5*h**3 + 1585081/5*h**2 + 0*h + 0 - 1/5*h**5 - 2517/5*h**4 = 0.
-1259, 0, 1
Let h(l) = -8*l**2 + 2*l - 24. Let f be h(0). Let o be 0*(-2)/(f/(-4)). Factor 4/5 + o*x - 4/5*x**2.
-4*(x - 1)*(x + 1)/5
Let f be 46308/6256*(-4)/(-18). Let v = -10/69 + f. Factor v*k**3 + 1/2*k**4 + k**2 + 0 + 0*k.
k**2*(k + 1)*(k + 2)/2
Let s = -1543/125 - -3211/250. What is o in s*o - 3 - 1/2*o**3 - 1/2*o**4 + 7/2*o**2 = 0?
-3, -1, 1, 2
Suppose 3*t - 3*y = 3, 2*t + 0*y + 2 = 3*y. Factor 15 - 2*l**5 + 112*l**2 + 68*l + 8*l**t - 3 - 2*l**5 + 4 + 32*l**4 + 88*l**3.
4*(l + 1)**4*(l + 4)
Let m(w) be the second derivative of 0 - 1/6*w**5 - 5/24*w**4 + 0*w**3 + 11*w + 11*w**2 - 1/24*w**6. Let i(g) be the first derivative of m(g). Factor i(a).
-5*a*(a + 1)**2
Let t be (-12)/(-10)*20/(-3). Let n be (-2 - t) + 3 + -7. Let 3 - 5 + k**3 + 2 + 2*k**n = 0. Calculate k.
-2, 0
Let r be 38/(-14) + 5 - 0/1. Let w be -192*(-8 + 276/36). Determine g, given that r*g**3 - 18/7*g**5 + 424/7*g**2 + 128/7 - w*g - 102/7*g**4 = 0.
-4, 2/3, 1
Factor 4/5*p**3 - 104/5*p**2 - 352/5 + 368/5*p.
4*(p - 22)*(p - 2)**2/5
Let x be -4 - (3/(-12))/(10/(9 - -231)). Suppose -841/3 - 58/3*s - 1/3*s**x = 0. Calculate s.
-29
Suppose 88/3*h - 16/3*h**4 + 160 - 368/3*h**2 + 2/3*h**5 - 62*h**3 = 0. What is h?
-4, -2, 1, 15
Let m = -28429/3 - -199015/21. Solve -m*g + 4/7*g**2 + 0 = 0 for g.
0, 1
Let l be (-4)/(-13) - 5408/17576. Suppose l + 20/9*g + 34/9*g**2 + 2/3*g**3 = 0. What is g?
-5, -2/3, 0
Let l(d) = -12*d**2 - 9*d**2 - d**3 + 22*d**2. Let a(q) = 4*q**4 + 2*q**3 - 18*q**2 + 4*q + 8. Let v = -3 - -2. Let f(h) = v*a(h) - 6*l(h). Factor f(x).
-4*(x - 2)*(x - 1)*(x + 1)**2
Let n(h) be the second derivative of -h**5/4 + 455*h**4/6 - 12*h. Suppose n(q) = 0. What is q?
0, 182
Let i(q) be the third derivative of q**7/525 - q**6/75 - 43*q**5/150 + 13*q**4/6 + 56*q**3/5 + 3263*q**2. Find c such that i(c) = 0.
-6, -1, 4, 7
Let h(z) be the first derivative of -4*z**5/5 + 7*z**4 - 20*z**3 + 18*z**2 + 964. Factor h(d).
-4*d*(d - 3)**2*(d - 1)
Suppose 163*g - 255*g = -184. Let s(i) be the second derivative of 5/24*i**4 + i**g - 2/3*i**3 - 15*i + 0 - 1/40*i**5. Factor s(f).
-(f - 2)**2*(f - 1)/2
Suppose -l = -i - 6, -4*l - 3*i + 60 = 2*i. Let a(y) = -1 - 2 + l - 9 - 4*y**2 - 12*y. Let d(z) = 17*z**2 + 47*z + 9. Let w(k) = -9*a(k) - 2*d(k). Factor w(f).
2*f*(f + 7)
Let t(d) be the third derivative of -11*d**8/168 + 706*d**7/735 + 619*d**6/105 + 276*d**5/35 + 24*d**4/7 + 6*d**2 - 58*d + 1. Suppose t(y) = 0. What is y?
-2, -6/11, -2/7, 0, 12
Factor 84/11*w**2 + 0 + 0*w + 86/11*w**3 + 2/11*w**4.
2*w**2*(w + 1)*(w + 42)/11
Let m(f) = -160*f - 4316. Let l be m(-27). Let t(o) be the second derivative of 1/120*o**6 + 0*o**2 + 3/80*o**5 + 1/24*o**3 - 19*o + 1/16*o**l + 0. Factor t(s).
s*(s + 1)**3/4
Let o(t) = 18*t**3 + 285*t**2 + 554*t + 122. Let d(h) = 395*h**3 + 6270*h**2 + 12190*h + 2685. Let z(c) = 2*d(c) - 45*o(c). Factor z(b).
-5*(b + 2)*(b + 12)*(4*b + 1)
Let n(y) be the second derivative of -y**8/10080 - 4*y**7/945 - y**6/72 + y**4/2 - 7*y**3/6 - y + 81. Let v(i) be the third derivative of n(i). Factor v(z).
-2*z*(z + 1)*(z + 15)/3
Let y(f) be the second derivative of 0 - 5/6*f**3 - 5/12*f**4 - 6*f + 15*f**2. Determine q so that y(q) = 0.
-3, 2
Let w(b) be the first derivative of -50/3*b - 1/12*b**4 - 15/2*b**2 - 4/3*b**3 - 20. Factor w(o).
-(o + 2)*(o + 5)**2/3
Let m(b) be the second derivative of 0 - 1/2*b**3 - 1/36*b**4 - 54*b + 0*b**2. Factor m(s).
-s*(s + 9)/3
Factor 341/6*d**2 + 1 - 1025/6*d.
(d - 3)*(341*d - 2)/6
Let v = 0 - 2. Let z(j) = -4*j**2 - 8*j + 10. Let x(m) = 21*m**2 + 39*m - 49. Suppose -9 = -3*r, -n - 23 = 3*r - 21. Let w(d) = n*z(d) + v*x(d). Factor w(u).
2*(u - 1)*(u + 6)
Let u be (-24)/22 - (-3504)/3212. Find a, given that 0 + u*a + 1/2*a**2 = 0.
0
Solve -55*m**3 + 32*m - 207 - 30*m**3 - m**4 - 17 + 42*m**2 + 72*m**3 + 2*m**4 = 0.
-2, 4, 7
Let l(g) = 1313*g**2 - 1013*g + 142. Let y(w) = -1311*w**2 + 1014*w - 132. Let s(n) = -6*l(n) - 5*y(n). Factor s(k).
-3*(21*k - 8)**2
Let i = -21/293 - -5146/75887. Let f = i + 261/518. Factor f*g**2 + g - 3/2.
(g - 1)*(g + 3)/2
Let r = -191 - -187. Let j be (12/8)/(2/r) + 5. Factor 0 + 10/3*z - 2/3*z**j.
-2*z*(z - 5)/3
Let u = 39 + -29. Suppose 35*t + u = 40*t. Suppose -261 + 261 + 15*j + 5*j**t = 0. What is j?
-3, 0
Let q = -28519/10 + 2852. Let h(n) be the second derivative of 1/10*n**2 + 0 + 1/20*n**4 + q*n**3 + 1/100*n**5 - 5*n. Let h(y) = 0. What is y?
-1
Let x(f) be the first derivative of -169*f**6/2 - 234*f**5 + 183*f**4/4 + 382*f**3 + 162*f**2 + 24*f - 3704. What is m in x(m) = 0?
-2, -1, -2/13, 1
Let w = 192369/17830 + 39/3566. Factor -w*v + 3/5*v**2 + 243/5.
3*(v - 9)**2/5
Let v be (-88)/36*35/(-385). Factor 0 - 4/9*f**2 - 2/9*f**3 + v*f**4 + 0*f.
2*f**2*(f - 2)*(f + 1)/9
Suppose 5*u + 2*b = 70, -u = 18*b + 26*b + 640. Factor -u*f - 40/3 - 5/6*f**3 - 15/2*f**2.
-5*(f + 1)*(f + 4)**2/6
Let s(p) be the third derivative of p**8/6720 + 11*p**7/840 + 121*p**6/240 - 23*p**5/60 - 2*p**2 - 12. Let i(u) be the third derivative of s(u). Factor i(x).
3*(x + 11)**2
Factor -1288/17 + 2/17*d**2 - 1286/17*d.
2*(d - 644)*(d + 1)/17
Let h(f) = 100*f**2 + 90*f - 10. Let w(k) be the second derivative of 5/3*k**3 - 1/2*k**2 + 7*k + 11/12*k**4 + 0. Let u(o) = 6*h(o) - 55*w(o). Factor u(q).
-5*(q + 1)**2
Let s = -36/7 - -6. Suppose 182*m = 63*m + 476. Solve 0 + s*b**3 + 3/7*b**2 + 0*b + 3/7*b**m = 0 for b.
-1, 0
Let u(m) = -111*m**2 - 6204*m + 6540. Let a(x) = -5*x**2 - 282*x + 297. Let s(h) = -45*a(h) + 2*u(h). Let s(o) = 0. What is o?
-95, 1
Let w(n) be the first derivative of n**4/18 + 8*n**3/27 - 611*n**2/9 + 3380*n/3 + 1429. Factor w(t).
2*(t - 13)**2*(t + 30)/9
Let a(y) = 54*y**4 + 16*y**3 + 88*y**2 - 93*y + 13. Let n(w) = -25*w**4 - 9*w**3 - 42*w**2 + 46*w - 6. Let u(p) = -6*a(p) - 13*n(p). Factor u(f).
f*(f - 1)*(f + 2)*(f + 20)
Let h be 7*(6 + 53) + 7. Factor -203 + 3*c**3 + h*c + 163*c**2 - 241*c**2 + 1379.
3*(c - 14)**2*(c + 2)
Let c(i) be the third derivative of i**6/630 + i**5/105 - 4*i**4/21 - 5*i**3 - 3*i**2 - 6. Let v(a) be the first derivative of c(a). Factor v(w).
4*(w - 2)*(w + 4)/7
Let b(z) be the first derivative of -3*z**4/8 + 19*z**3 - 513*z**2/4 + 297*z - 2233. Solve b(d) = 0 for d.
2, 3, 33
Let w be (-3861)/(-605) + (-1)/5 - 6. Let f be (-1)/(-1)*15/5. Find y such that -w - 2/11*y + 2/11*y**f + 2/11*y**2 = 0.
-1, 1
Suppose -2070 = -14*x - 558. Find v such that 2411*v**2 - 33