e the second derivative of f**5/8 + 265*f**4/48 + 245*f**3/12 + 5573*f. What is p in w(p) = 0?
-49/2, -2, 0
Suppose -z - 4 = -5*h + 7, z + 2 = 2*h. Determine s, given that 37 + 43 + 60*s**4 - 80 + 16*s - 60*s**2 - 14*s**5 - 2*s**h = 0.
-1, 0, 2/7, 1, 4
Let n(g) = 3*g + 33. Let c be n(6). Factor -22*j**2 - 8*j**2 - 22*j**2 + c*j**2 + 17*j - 42.
-(j - 14)*(j - 3)
Let -11*n**2 + 86 - 20 + 103*n + 54*n**2 - 39*n - 45*n**2 = 0. Calculate n.
-1, 33
Let f(y) be the second derivative of y**4/12 + 49*y**3/6 + 24*y**2 - 1063*y. Solve f(a) = 0 for a.
-48, -1
Let o(k) be the first derivative of -k**5/6 - 1055*k**4/24 + 2125*k**3/18 - 355*k**2/4 + 9522. Factor o(d).
-5*d*(d - 1)**2*(d + 213)/6
Let c = -964940 - -10620172/11. What is s in -c + 216/11*s - 2/11*s**2 = 0?
54
Suppose 2*h + h = 2*k, 5*k = 62*h - 67*h. Let o(f) be the first derivative of 0*f + 10/9*f**3 + h*f**2 - 1/3*f**5 - 5/12*f**4 - 14. Factor o(x).
-5*x**2*(x - 1)*(x + 2)/3
Factor 528/7 - 10*r + 2/7*r**2.
2*(r - 24)*(r - 11)/7
Let t(q) be the third derivative of 0*q**3 + 0 - 2*q - 1/200*q**6 - 3/50*q**5 + 83*q**2 + 0*q**4. Factor t(h).
-3*h**2*(h + 6)/5
Suppose -532*o + 1496*o = 2892. Solve 10 - 45*t**2 - 5*t**4 + 85/3*t**o + 35/3*t = 0.
-1/3, 1, 2, 3
Let m be -3*8/(-28) - 8471/(-1379). Let -m*p - 1/4*p**2 - 49 = 0. What is p?
-14
Let t(v) be the first derivative of 2*v**5/55 - 105*v**4/11 + 1966*v**3/3 + 22260*v**2/11 + 22472*v/11 - 254. Determine l, given that t(l) = 0.
-1, 106
Let j(a) = a**2 + 7*a - 4. Let g be j(-7). Let l be ((-3)/g)/((-1)/(-4)). Determine o so that 5*o - 6 + 2 - o**l + 7 + o**2 = 0.
-1, 3
Let n(z) be the first derivative of -2*z**5/35 - 17*z**4/7 + 18*z**3 - 234*z**2/7 + 1533. Determine r, given that n(r) = 0.
-39, 0, 2, 3
Let g(x) be the second derivative of -x**4/96 + 47*x**3/24 - 609*x**2/16 - 5*x + 6. Suppose g(u) = 0. What is u?
7, 87
Let l = 826 + -821. Let o(z) be the third derivative of 0*z + 5*z**2 - 1/15*z**l + 0 + 0*z**4 + 0*z**3. Let o(g) = 0. What is g?
0
Solve 140/3*y**3 - 292/3*y**2 + 148/3*y + 0 + 4/3*y**4 = 0 for y.
-37, 0, 1
Let d(x) be the third derivative of -x**6/180 - 47*x**5/45 - 185*x**4/36 - 92*x**3/9 + 321*x**2. Determine a, given that d(a) = 0.
-92, -1
Let d(f) be the third derivative of 0*f**4 + 0 + 4*f - 2*f**2 - 1/15*f**5 + 1/45*f**6 - 1/1008*f**8 + 0*f**3 + 1/630*f**7. Suppose d(r) = 0. What is r?
-3, 0, 2
Let u(n) = -16*n**2 - 208*n + 1990. Let q(f) = -5*f**2 - 70*f + 663. Let b(d) = 19*q(d) - 6*u(d). Solve b(c) = 0.
9, 73
Let l = 124 - 44. Factor -586 - 364 + 150 - 2*g**2 + l*g.
-2*(g - 20)**2
Suppose 0 = -3*u + 8 - 17, 0 = -k - 5*u + 473. Let x be (k/(-48) - -10)/(1/(-16)). Let -4/3*m**3 - 2*m**2 - x + 2/3*m**4 + 16/3*m = 0. What is m?
-2, 1, 2
Let x(f) be the first derivative of f**3/12 + 273*f**2/8 + 68*f + 2643. Solve x(z) = 0.
-272, -1
Let u(k) be the third derivative of -k**7/15120 + k**6/180 + 5*k**5/144 + k**4/8 - 5*k**3/3 + 119*k**2. Let s(b) be the second derivative of u(b). Factor s(y).
-(y - 25)*(y + 1)/6
Let a = 19 - 16. Factor -5673*o**2 - 5*o**3 - 14*o**4 + 5673*o**2 + a*o**5.
o**3*(o - 5)*(3*o + 1)
Let d(g) = g**3 + 6*g - 1. Let z(n) = 23*n**4 - 15*n**3 - 78*n + 13. Let a(u) = -52*d(u) - 4*z(u). Factor a(k).
-4*k**3*(23*k - 2)
Factor -2*l + 9*l**2 + 70 - 5*l**2 - 40*l + l**2 - 3*l.
5*(l - 7)*(l - 2)
Let w be (-185)/(-65) + (-800)/26000*(1 - 6). Solve -52/3*t**w - 4*t - 2/3 + 16*t**2 + 6*t**4 = 0 for t.
-1/9, 1
Let w(m) = 12*m**3 + 3*m**2 - m. Let x be w(2). Let j = x - 46. Factor -2*s**2 + 58 - 3*s - j + s**2.
-(s + 1)*(s + 2)
Let o(g) be the second derivative of g**7/126 - 7*g**6/45 - 4*g**5/15 + 7*g**4/18 + 5*g**3/6 - 3*g - 563. Determine w so that o(w) = 0.
-1, 0, 1, 15
Factor -5*y - 695 + 695*y**2 - 15*y**3 - 22*y**3 + 59*y**3 - 17*y**3.
5*(y - 1)*(y + 1)*(y + 139)
Factor -274*k + 5139 - 2*k**4 + 186*k**2 - 2557 - 2462 - 30*k**3.
-2*(k - 3)*(k - 1)**2*(k + 20)
Suppose 374*t + 294*t - 825 = 519 - 8. Determine p, given that -4 + 10/3*p - 2/3*p**t = 0.
2, 3
Let q be (-24)/(-21) + (12 + 3)*7/(-147). Factor -3/7*w - 36/7 + q*w**2.
3*(w - 4)*(w + 3)/7
Let a(v) be the third derivative of -v**6/30 + 440*v**5/3 - 402599*v**4/2 - 1616268*v**3 - 6932*v**2. Determine j so that a(j) = 0.
-2, 1101
Factor 4*y**2 - 699 - 144 - 1460*y - 621.
4*(y - 366)*(y + 1)
Let n be (165/12)/(-23 - (-224)/8). Factor n + 5/2*d - 1/4*d**2.
-(d - 11)*(d + 1)/4
Let k = 374564/3 + -124853. Solve 20/3*v**2 - 40/3*v + 0 + 10*v**3 - k*v**5 - 5/3*v**4 = 0.
-2, 0, 1, 2
Let 1847042/3 + 2/3*h**2 + 3844/3*h = 0. Calculate h.
-961
Let j(t) = 3*t**2 + 15*t - 8. Let p be j(-6). Let q(y) = 9*y + 31 - p + y - 10 - y**2. Let i(r) = 2*r + 2. Let k(o) = -22*i(o) + 4*q(o). Solve k(d) = 0.
-1, 0
Let q = -315523 + 1262125/4. Factor 0*d - q*d**2 + 1/4*d**3 + 0.
d**2*(d - 33)/4
Determine w, given that 3*w**2 + w**2 + 751*w - 1278*w + 871*w + 2008 + 668*w = 0.
-251, -2
Let i(r) be the second derivative of 2*r**6/15 - 2*r**5 - 8*r**4 - 629*r. Factor i(n).
4*n**2*(n - 12)*(n + 2)
Let l be 8/(-6)*3/(-22). Suppose 74 = -4*u + 115*t - 110*t, -3*t + 74 = 5*u. Factor -l*y**3 - 2/11*y**u + 2/11*y + 0 + 2/11*y**2.
-2*y*(y - 1)*(y + 1)**2/11
Let r(k) be the first derivative of -k**4/16 - 107*k**3 - 68694*k**2 - 19600688*k - 275. Factor r(o).
-(o + 428)**3/4
Let m(z) be the second derivative of 5*z + 1/6*z**3 - 13/132*z**4 + 3 + 1/11*z**2. Suppose m(v) = 0. Calculate v.
-2/13, 1
Factor -990/7*v + 116/7 + 34/7*v**2.
2*(v - 29)*(17*v - 2)/7
Let n(z) be the third derivative of z**7/70 + 223*z**6/20 + 48829*z**5/20 - 50175*z**4/2 + 101250*z**3 + 68*z**2 - 7. Factor n(j).
3*(j - 2)**2*(j + 225)**2
Let x be ((1312/(-9))/16 - -9) + (-2)/(-18). Factor 1/3*n**3 + x + 0*n**2 - 1/3*n.
n*(n - 1)*(n + 1)/3
Let z(m) be the second derivative of -3*m**5/160 - 147*m**4/8 + m**3/16 + 441*m**2/4 - 3248*m. Determine u, given that z(u) = 0.
-588, -1, 1
Suppose k = -b, -5*b + 3*k = -12 - 4. Factor 2296*j**b - 64 + 88*j - 2292*j**2 - 28*j.
4*(j - 1)*(j + 16)
Let l = 78 - 60. Let f be 1/(-4 - l/(-4)). Factor -3*y**f - 1 + 4*y - 16 + 15 + y**2.
-2*(y - 1)**2
Let j(s) be the second derivative of -9/14*s**2 + 0 + 44*s - 1/28*s**4 + 2/7*s**3. Determine o, given that j(o) = 0.
1, 3
Let k = 547827 + -2739133/5. Factor 15488/5 + k*l**2 - 352/5*l.
2*(l - 88)**2/5
Suppose 3*g = 5*j - 901, -2*g - 586 = -0*g + 4*j. Let m be g/(-22)*(-4)/(-36). Suppose 0*p**3 - m*p**4 + 0*p - 3/2 + 3*p**2 = 0. Calculate p.
-1, 1
Let q(n) be the third derivative of n**7/15120 + n**6/360 + 11*n**5/720 + n**4/3 + n**3/3 - 7*n**2 - 15. Let z(r) be the second derivative of q(r). Factor z(i).
(i + 1)*(i + 11)/6
What is y in -9*y**3 + 11030*y**5 - 11032*y**5 + 24*y**2 + 25*y**3 - 10*y**4 = 0?
-6, -1, 0, 2
Solve -16*f - 170*f**3 + 3*f**5 - 28*f**2 + 0*f**4 - 2*f**5 + f**4 + 158*f**3 + 0*f**5 = 0 for f.
-2, -1, 0, 4
Let j(k) = -8*k - 27. Let w be j(-13). Let p = -69 + w. Let 2*a**2 + p - 1 - 7 + a**3 = 0. Calculate a.
-2, 0
Suppose -15693*n = -15676*n - 85. Let c(h) be the third derivative of 7/96*h**4 + 0*h + 1/240*h**n + 0 + 16*h**2 - 1/3*h**3. Factor c(o).
(o - 1)*(o + 8)/4
Find z, given that -2/13*z**2 - 82/13 + 84/13*z = 0.
1, 41
Let m(w) = -50*w - 1295. Let x be m(-26). Let p(q) be the second derivative of 2/15*q**6 + 0*q**3 + 0 + 1/5*q**x - 2/3*q**4 + 0*q**2 - 26*q. Factor p(y).
4*y**2*(y - 1)*(y + 2)
Let l(t) be the third derivative of t**8/360 + 227*t**7/1575 + 157*t**6/75 + 64*t**5/45 - 256*t**4/45 + 50*t**2 + 1. Solve l(s) = 0 for s.
-16, -1, 0, 4/7
Let h be (22/(-3) + -1)*(-3706)/9265. Factor -h*s - 2*s**2 + 2/3*s**3 + 2/3*s**4 - 4/3.
2*(s - 2)*(s + 1)**3/3
Factor 135*r - 2862/7 + 3/7*r**2.
3*(r - 3)*(r + 318)/7
Let q(y) be the second derivative of -2*y**7/21 - 19*y**6/30 - 11*y**5/15 + y**4/2 + 86*y**2 + 51*y. Let s(c) be the first derivative of q(c). Factor s(i).
-4*i*(i + 1)*(i + 3)*(5*i - 1)
Let s be (-2)/(-60)*(-35)/((-210)/54). Let g(t) be the first derivative of 2/5*t**3 + 0*t - s*t**2 + 13 - 3/20*t**4. Find y such that g(y) = 0.
0, 1
Let g(j) be the third derivative of j**5/12 + 23*j**4/24 - 4*j**3/3 + 98*j**2 + j. Let n be g(-5). Let 6/5*m**3 + 0 + 4/5*m**n - 2/5*m = 0. Calculate m.
-1, 0, 1/3
Let s(j) be the first derivative of -2*j**3/3 - 11*j**2 + 420*j - 4429. Find r, given that s(r) = 0.
-21, 10
Let h = 317 + -30