Determine q, given that 0*q + 14*q**x + 5*q**2 - 5*q - 5*q**4 - 9*q**3 + 0*q = 0.
-1, 0, 1
Let x(v) be the third derivative of -v**7/8820 + v**6/315 - v**5/60 + 53*v**4/24 + 47*v**2. Let d(o) be the second derivative of x(o). Factor d(b).
-2*(b - 7)*(b - 1)/7
Let i(x) = -1385*x**2 + 19000*x - 18880. Let f(w) = 151*w**2 - 2111*w + 2098. Let j(c) = -55*f(c) - 6*i(c). Factor j(g).
5*(g - 1)*(g + 422)
Let f(g) = 5*g**2 + 370*g - 303. Let m(n) = -9*n**2 - 718*n + 607. Let z(b) = -5*f(b) - 3*m(b). Let z(d) = 0. Calculate d.
-153, 1
Find k such that 5*k**3 + k**3 - 3046*k**2 - 10*k**3 - 238*k**2 - 3280*k = 0.
-820, -1, 0
Suppose -5*b**5 + 75460*b**2 - 67089*b - 320*b**4 - 31776*b + 25940*b**2 - 2210*b**3 = 0. Calculate b.
-39, 0, 1, 13
Let a be (-6)/(-9) - (-988)/57. Let k be 1 + (-2)/(-70) - a/30. Solve 72/7*r + 69/7*r**2 - 108/7 - k*r**5 + 27/7*r**4 - 81/7*r**3 = 0 for r.
-1, 2, 3
Let z = 7859 + -7853. Let k(o) be the second derivative of o**2 - 5/4*o**3 + 0*o**z - 1/4*o**5 + 1/84*o**7 + 0 - 22*o + 5/6*o**4. Determine w so that k(w) = 0.
-4, 1
Let g(o) be the third derivative of -117*o**2 + 0*o + 0 + 1/120*o**5 - 5/24*o**3 - 3/32*o**4. Suppose g(j) = 0. What is j?
-1/2, 5
Let u(l) be the second derivative of -l**7/84 + l**6/15 + 3*l**5/10 + l**4/12 - 11*l**3/12 - 3*l**2/2 - 7*l + 33. Determine s, given that u(s) = 0.
-1, 1, 6
Let o(l) be the second derivative of -l**9/504 - l**8/112 + l**7/280 + l**6/20 - 40*l**3/3 + 51*l. Let y(f) be the second derivative of o(f). Solve y(a) = 0.
-2, -3/2, 0, 1
Let y(h) be the second derivative of -5*h**7/42 + 3*h**6 - 89*h**5/4 + 25*h**4/3 + 320*h**3 + 640*h**2 + h + 2338. Determine w, given that y(w) = 0.
-1, 4, 8
Let b(y) be the second derivative of y**4/6 - 265*y**3/3 - 266*y**2 - 1127*y. Factor b(r).
2*(r - 266)*(r + 1)
Let o(h) be the third derivative of 2*h**7/105 - h**6/6 + 4*h**5/15 - 179*h**2 + 2*h. Find d, given that o(d) = 0.
0, 1, 4
Let m be -6 + -16 + 28 - (4 + (-18)/5). Solve -m*o**3 + 352/5*o - 16 - 244/5*o**2 = 0 for o.
-10, 2/7, 1
Suppose 309*g**3 - 285*g**3 - 25*g**4 + 1016*g**3 - 1040*g + 445*g**2 - 420 = 0. Calculate g.
-1, -2/5, 1, 42
Let c = -74899 - -299597/4. Factor -36 + 102*t + 21/4*t**4 - 361/4*t**2 + c*t**5 + 75/4*t**3.
(t - 1)**3*(t + 12)**2/4
Let u(x) be the second derivative of -x**4/30 + 97*x**3/15 + 98*x**2/5 - 1467*x. Factor u(v).
-2*(v - 98)*(v + 1)/5
Let z(q) = 9*q**2 + 84*q - 316. Let i(l) = -6*l**2 - 81*l + 318. Let b(h) = -4*i(h) - 3*z(h). Solve b(c) = 0.
6, 18
Let w(g) be the first derivative of -g**3/5 - 204*g**2/5 - 1197*g/5 - 1501. Factor w(x).
-3*(x + 3)*(x + 133)/5
Solve -6/11*a**3 + 56/11*a**2 - 18/11*a + 0 = 0.
0, 1/3, 9
Let s(n) be the first derivative of -2*n**3/3 + 156*n**2 - 310*n + 1088. Factor s(z).
-2*(z - 155)*(z - 1)
Let n(c) = -4*c**3 + 5*c**2 - 3. Let q(u) = 11*u**3 - 2505*u**2 - 310000*u - 307508. Let k(i) = -4*n(i) - q(i). Find x, given that k(x) = 0.
-248, -1
Let a(w) = 1308*w + 15699. Let y be a(-12). Determine o so that 0*o + 1/4*o**y + 1/12*o**4 + 0 + 0*o**2 = 0.
-3, 0
Let z(j) = -70*j**2 + 1102*j + 11428. Let w(v) = -26*v**2 + 368*v + 3808. Let s(g) = 8*w(g) - 3*z(g). Determine d so that s(d) = 0.
-10, 191
Let z(h) = -5*h - 2. Let m be z(-1). Suppose -2*f + 21 = 3*g, 3*f - 3*g + m = -3. Factor -44*p**f + 16*p + 60*p**4 - 31*p**2 - 17*p**2 + 60*p**4 + 100*p**5.
4*p*(p + 1)**2*(5*p - 2)**2
Suppose -4*s - 7*m = 281 - 913, -12*s + 5*m + 1688 = 0. Factor -s*v**2 + 640*v + 64/5*v**3 - 2/5*v**4 - 800.
-2*(v - 10)**3*(v - 2)/5
Let y be 9/378*49 - 1. Let g(j) be the second derivative of -1/60*j**6 + 0 + 1/4*j**2 + 1/20*j**5 - 21*j + 0*j**4 - y*j**3. What is h in g(h) = 0?
-1, 1
Suppose -13*v + 6*v - 16*v + 529 = 0. Let p(b) be the second derivative of -4/9*b**3 + v*b - 2*b**2 + 0 + 1/9*b**4. Factor p(u).
4*(u - 3)*(u + 1)/3
Suppose 5*s = -3*t - 793 + 779, -2*t - 4 = 2*s. Let g(i) = i**3 - 3*i**2. Let f be g(3). Factor 0 + 2/5*n**t + 1/5*n**4 + f*n + 3/5*n**3.
n**2*(n + 1)*(n + 2)/5
Let i = -571161 - -571164. Let 6/5*v**2 + 18/5*v - 2/5*v**i + 2 = 0. Calculate v.
-1, 5
Let o(g) be the second derivative of -g**5/4 + 7*g**4/3 + 5*g**3/2 - 9*g**2 + 349*g. Factor o(h).
-(h - 6)*(h + 1)*(5*h - 3)
Suppose 970 + 2150 = -52*n. Let z be (9/n)/(33/(-132)). Factor -60 - 66/5*f**3 - 132*f - 423/5*f**2 - z*f**4.
-3*(f + 1)**2*(f + 10)**2/5
Let f(j) be the third derivative of 3*j**6/40 - 35*j**5/4 + 193*j**4/4 + 168*j**3 + 2760*j**2. What is p in f(p) = 0?
-2/3, 3, 56
Let u be 628/(-2)*-7*(-8)/(-840). Let d = -61/3 + u. Factor 0 - d*p**2 + 3/5*p.
-3*p*(p - 1)/5
Let s(o) = 1753000*o**2 - 15912*o + 42. Let x(w) = 4*w**2 - 4*w + 1. Let h(z) = s(z) - 6*x(z). Factor h(f).
4*(662*f - 3)**2
Let h(d) = -12*d + 77. Let p be h(6). Let v be p/2*(-5 - 3432/(-680)). Determine n so that -4/17*n - v*n**2 + 0 = 0.
-2, 0
Let q(p) be the third derivative of p**7/70 + 7*p**6/8 - 247*p**5/20 - 35*p**4/8 + 123*p**3 - 1370*p**2. Solve q(j) = 0.
-41, -1, 1, 6
Let x = -106587 + 106591. Factor 2/11*r + 0*r**2 - 2/11*r**3 + 1/11*r**x - 1/11.
(r - 1)**3*(r + 1)/11
Suppose 180*f = 171*f - 11790. Let j = 1312 + f. Factor -105/4*a - 33/4*a**j - 9/2.
-3*(a + 3)*(11*a + 2)/4
Let t(b) be the third derivative of b**6/1440 - b**5/40 - 29*b**3/6 - 82*b**2. Let k(n) be the first derivative of t(n). Find h, given that k(h) = 0.
0, 12
Suppose -4*l = -8, 0*c + 3 = 3*c - 3*l. Let f be -1 + (177/(-24) - -9). What is j in -19/8*j + j**2 + f*j**c + 3/4 = 0?
-3, 2/5, 1
Suppose 5*k = -4*s - 9, -4*k + 7*k = -4*s - 7. Let f be s - ((-33)/8 - (-20)/160). Factor 3/2*j**4 - 3*j - 3/2*j**2 + 3*j**f + 0.
3*j*(j - 1)*(j + 1)*(j + 2)/2
Let j(x) be the first derivative of 3*x**4/4 - 4*x**3 - 15*x**2/2 + 981. Factor j(y).
3*y*(y - 5)*(y + 1)
Let a(n) = 8*n - 108. Let v be a(14). Let 6*y**2 + y**2 + 0*y**2 + 10*y**3 + y**2 + 2*y**v = 0. What is y?
-4, -1, 0
Let p(y) be the first derivative of -2/21*y**3 - 6*y + 295 + 10/7*y**2. Determine v so that p(v) = 0.
3, 7
Let w = -4023/5035 + -1/1007. Let m = 8/15 - w. Suppose -20/3*y - m*y**2 + 8 = 0. Calculate y.
-6, 1
Find s, given that 3/5*s**5 + 666/5*s**3 - 132*s**2 - 228/5*s**4 + 219/5*s + 0 = 0.
0, 1, 73
Let y = 435 - 253. Let q = 184 - y. Factor 2*h - 4 - 1/4*h**q.
-(h - 4)**2/4
Factor 102/5*j**3 + 66*j + 3/5*j**4 - 111/5 - 324/5*j**2.
3*(j - 1)**3*(j + 37)/5
Let r(s) be the second derivative of -s**6/660 - 4*s**5/165 + 3*s**4/44 + 2*s**2 + 29*s. Let c(t) be the first derivative of r(t). What is m in c(m) = 0?
-9, 0, 1
Let b(x) = -2*x**2 + 2*x + 2. Let p(j) = 38*j**2 - 204*j - 36. Let u(i) = 36*b(i) + 2*p(i). Solve u(w) = 0 for w.
0, 84
Let x(r) = r**2 + 18*r + 77. Let g be x(-6). Let p(f) be the first derivative of -7*f**2 + 6*f**3 - 5/2*f**4 - g + 4*f + 2/5*f**5. Suppose p(a) = 0. What is a?
1, 2
Suppose 2046 = -44*u + 2178. Solve -545/2*k**2 - 2915/2*k + 605/2 - 25/2*k**u = 0 for k.
-11, 1/5
Let c(i) = -2*i**2 + 12*i - 6. Let u(d) = d + 1. Let f(s) = s**2 - s + 9. Let g(y) = -f(y) + 5*u(y). Let r(h) = 6*c(h) - 15*g(h). Find t, given that r(t) = 0.
2, 4
Let d be (4/6)/((-4)/30)*(-28)/70. Let t(b) be the first derivative of -2/11*b - 3/11*b**d - 1/22*b**4 - 2/11*b**3 + 3. Determine r, given that t(r) = 0.
-1
Let s(p) be the third derivative of 30*p**2 - 7/25*p**5 + 3/10*p**4 - 23/600*p**6 + 1/336*p**8 + 0*p + 0 + 3/175*p**7 + 0*p**3. Suppose s(w) = 0. Calculate w.
-3, 0, 2/5, 2
Let w(p) = 23*p**2 - 12*p + 6. Let t(r) = 26*r**2 - 13*r + 6. Let m(b) = 6*t(b) - 7*w(b). Let d(f) = -f**2 - f - 1. Let v(y) = -6*d(y) + m(y). Factor v(z).
z*(z + 12)
Let x(b) = -2*b**3 - 12*b**2 - 9*b + 9. Let z be x(-5). Factor 123*a**5 + 48*a**z - 120*a**5 - 66*a**3 + 258*a**3.
3*a**3*(a + 8)**2
Let a be (-4878)/(-405) - 968/396. Solve -12/5*n - 24/5*n**4 - 4/5*n**5 - 8*n**2 - a*n**3 + 0 = 0 for n.
-3, -1, 0
Factor 304/7*m - 4/7*m**3 + 44/7*m**2 + 256/7.
-4*(m - 16)*(m + 1)*(m + 4)/7
Suppose -g + j = 94 + 123, -15 = 3*j. Let h = g + 453/2. Factor 3/2*v**2 + 0 + v**3 - h*v.
v*(v + 3)*(2*v - 3)/2
Solve 2232/7*t - 1922/7 - 648/7*t**2 = 0.
31/18
Let a be ((15/(-20))/(6/504*14))/(-3). Determine d, given that -a*d**4 - 33/2*d**2 + 18 + 39/2*d**3 - 39/2*d = 0.
-1, 1, 12
Factor 15/2 + 5/2*u**2 + 1/6*u**3 + 59/6*u.
(u + 1)*(u + 5)*(u + 9)/6
Let t(m) = 207*m + 5177. Let l be t(-25). Factor -3/4*k**l + 7/6 + 