econd derivative of -d**4/12 - 47*d**3/2 + 686*d. Factor w(f).
-f*(f + 141)
Suppose -9779*w + 9816*w - 74 = 0. Suppose 1/3*t**3 + 2/3 - 2/3*t**w - 1/3*t = 0. Calculate t.
-1, 1, 2
Let h = 1/10308510 + -1398266913439/195861690. Let s = h + 7142. Factor -s*f - 50/19*f**3 - 2/19*f**5 - 16/19*f**4 - 4*f**2 - 16/19.
-2*(f + 1)**2*(f + 2)**3/19
Let h(s) = s**2 + 0*s**2 + 0 - 1. Let j(x) = -21*x - 9*x**2 - 8*x + 0*x**2 + 45 - 13*x - 186. Let k(z) = -6*h(z) - j(z). Factor k(i).
3*(i + 7)**2
Let q = 2/46197 - -2956598/230985. Find z such that 2/5*z**2 + 62/5 - q*z = 0.
1, 31
Let c be 6 + 0 + -1 + 33/242*-28. Factor 6/11 + 8/11*j**2 + 1/11*j**3 + c*j.
(j + 1)**2*(j + 6)/11
Let x(a) be the first derivative of -51*a**2 - 2601*a + 87 - 1/3*a**3. Factor x(q).
-(q + 51)**2
Let p(n) be the first derivative of -110 + 4/3*n**2 - 16/3*n - 1/9*n**3. Factor p(v).
-(v - 4)**2/3
Let r(m) = -118*m**4 + 2093*m**3 - 10870*m**2 + 15957*m - 7020. Let k(h) = h**4 + h**3 + h**2 - h + 12. Let i(c) = -3*k(c) + r(c). Let i(v) = 0. Calculate v.
1, 84/11
Let y(o) = -153*o + 2754. Let r be y(18). What is g in -5/3*g**4 + 5*g**3 - 10/3*g + 5/3*g**2 + r - 5/3*g**5 = 0?
-2, -1, 0, 1
Let n(p) be the first derivative of -p**6/6 + p**5/5 + p**4/2 - 2*p**3/3 - p**2/2 + p + 765. Suppose n(f) = 0. What is f?
-1, 1
Let n(q) be the first derivative of -q**3 + 21*q**2 - 72*q + 2088. Factor n(f).
-3*(f - 12)*(f - 2)
Let r(z) be the second derivative of z**4/6 - 46*z**3 - 280*z**2 - 1025*z. Solve r(y) = 0 for y.
-2, 140
Let u(r) = -5*r**2 + 25*r - 25. Let q(v) = 1. Suppose p + 127 - 126 = 0. Let a(c) = p*u(c) - 5*q(c). Factor a(j).
5*(j - 4)*(j - 1)
What is z in 393 - 4*z**2 + 68 + 73 + 26 + 144 - 20*z = 0?
-16, 11
What is v in -4/3*v**3 + 0 - 3316/3*v + 3320/3*v**2 = 0?
0, 1, 829
Let -750*o - 6 - 14*o**2 + 626*o - 20*o**3 + 27*o**2 + 111*o**2 + 26 = 0. Calculate o.
1/5, 1, 5
Let p = 54 - 52. Let x be 30/24*6/15. Determine w, given that -1/4*w**3 + w**p - 5/4*w + x = 0.
1, 2
Let r(k) be the first derivative of -5*k**6/2 - 4*k**5 + 65*k**4/4 - 10*k**3 + 3492. What is l in r(l) = 0?
-3, 0, 2/3, 1
Let u be -133*(774/21 + -37)*(0 - -1). Solve 49/4*j**3 + u + 959/4*j**2 + 134*j = 0 for j.
-19, -2/7
Let d(p) be the first derivative of 2*p**5/125 + 13*p**4/25 + 274*p**3/75 + 64*p**2/25 - 456*p/25 + 4614. What is s in d(s) = 0?
-19, -6, -2, 1
Let b be (-3)/((-48)/2) - 1265/(-440). Let l be 2 - (-8)/(-1)*-1. Solve 11*i + 49*i**3 + b*i - l*i - 16*i**2 - 12*i**2 = 0.
0, 2/7
Factor 1/6*i**5 - 461/6*i**3 - 6318 + 1557/2*i**2 - 1296*i + 1/6*i**4.
(i - 9)**3*(i + 2)*(i + 26)/6
Let r(u) = 216*u + 10*u**2 + 23*u**2 + 22*u**3 + 442 + 3*u**2 + 0*u**2. Let j(y) = -2*y**3 - 1. Let n(p) = -20*j(p) - 2*r(p). Solve n(f) = 0.
-6
Factor -559*m**2 + m - m**3 - 2 - 859*m**2 + 1420*m**2.
-(m - 2)*(m - 1)*(m + 1)
Let g(h) be the first derivative of 4*h**3/3 + 2*h**2 - 120*h - 947. Factor g(q).
4*(q - 5)*(q + 6)
Let p(j) = 8*j - 345. Let x be p(12). Let b = x - -999/4. Determine c so that -9/4*c + b*c**2 + 3/2 = 0.
1, 2
Let k(h) be the third derivative of 0*h**3 - 23/270*h**5 + 4*h**2 + 17*h + 0 + 1/60*h**6 + 5/36*h**4 - 1/945*h**7. Factor k(u).
-2*u*(u - 5)*(u - 3)*(u - 1)/9
Let l(f) = 10*f**2 + 10*f + 4. Let o(b) = -b**2 - 2*b - 1. Let s = 349 - 350. Let p(d) = s*l(d) - 4*o(d). Factor p(m).
-2*m*(3*m + 1)
Suppose -2*m + 8*m = -12. Let g be -4*1/(-1) + m. Determine u so that 4*u**2 + 12*u + u**g + 12 - 2*u**2 + 0 = 0.
-2
Suppose 7*r - 369 = -383. Let d be r + -5 - 157/(-7). Factor 3/7*j**2 + d + 36/7*j.
3*(j + 6)**2/7
Let c(y) = -25*y**2 - 225*y + 2635. Let a(s) = 19*s**2 + 226*s - 2637. Let o(v) = -5*a(v) - 4*c(v). Let o(w) = 0. What is w?
23
Let y(i) = 3*i**2 + 3*i + 2. Let k(a) = -17*a**2 - 1479*a - 267922. Let t(v) = -k(v) - 5*y(v). Determine p so that t(p) = 0.
-366
Let h(t) be the second derivative of t**7/189 + 2*t**6/135 - 7*t**5/90 + 2*t**4/27 - 515*t. Factor h(o).
2*o**2*(o - 1)**2*(o + 4)/9
Let x be (6 + -3 - -41)*(26 + -11). Let v = -5936/9 + x. Solve 2*y**4 - v*y + 0 + 14/9*y**5 - 2*y**2 - 10/9*y**3 = 0.
-1, -2/7, 0, 1
Let l(z) be the first derivative of -114242*z**3/3 + 956*z**2 - 8*z - 999. Factor l(c).
-2*(239*c - 2)**2
Let o(q) be the first derivative of -q**7/560 - q**6/20 + 3*q**5/16 + 13*q**4/8 - 16*q**3 + 112. Let p(m) be the third derivative of o(m). Solve p(y) = 0 for y.
-13, -1, 2
Let x be (-1)/((-4)/8)*(-55)/(-264). Let o(d) be the second derivative of 5/2*d**3 + 0*d**2 - x*d**4 + 0 + 13*d. Solve o(v) = 0 for v.
0, 3
Let x(y) = -68*y**2 + 3. Let a be x(1). Let c = a + 143. Factor -116*j + 31*j - 32*j**4 + 10 + c*j**4 + 325*j**3 + 79*j**4 + 105*j**2.
5*(j + 1)*(j + 2)*(5*j - 1)**2
Let f be (-3 + 2)*(-3 + 0). Factor -2*u + 8*u + 1194*u**2 - 1188*u**2 + u**f - u.
u*(u + 1)*(u + 5)
Find g such that -39663/8*g**3 + 1875/8*g**5 - 75/2*g - 11325/2*g**4 + 0 + 1803/2*g**2 = 0.
-1, 0, 2/25, 25
Suppose 0*i = -8*i. Let a be i - (-6 + -1)/14. Let -1/2*h**5 + 1/2*h**4 - 4*h - 2 - a*h**2 + 5/2*h**3 = 0. Calculate h.
-1, 2
Factor 810*y + 3448*y + 2*y**2 + 3942432 - 70*y + 1428*y.
2*(y + 1404)**2
Solve -2/9*l**2 + 6064/9*l - 4596512/9 = 0 for l.
1516
Let b(h) be the second derivative of -h**6/1080 + 7*h**5/120 + 47*h**3/3 - 78*h. Let x(z) be the second derivative of b(z). Factor x(k).
-k*(k - 21)/3
Suppose -84*m + 0 = -258*m - 0. Determine d, given that 0 - d**2 + m*d - 1/6*d**3 = 0.
-6, 0
Suppose 10*r - 3857 = -9*r. Let l = r + -201. Factor 6/5*n**l + 6/5 - 12/5*n**4 - 3*n + 3/5*n**5 + 12/5*n**3.
3*(n - 2)*(n - 1)**3*(n + 1)/5
Let g be (-6)/2 - (-68902)/16126. Solve -g*o**5 + 0*o**2 + 8/11*o**3 + 0 + 0*o + 24/11*o**4 = 0 for o.
-2/7, 0, 2
Suppose 9*f - 30 - 78 = 0. Let z(n) be the third derivative of 0 - 1/630*n**5 + 0*n**3 + 0*n + f*n**2 - 1/126*n**4. Determine y, given that z(y) = 0.
-2, 0
Let i(j) be the third derivative of -1/12*j**5 + 0*j + 0 - 52*j**2 + 15/2*j**3 + 1/24*j**6 - 15/8*j**4. Factor i(f).
5*(f - 3)*(f - 1)*(f + 3)
Factor -6/13*j**2 + 0 - 36/13*j + 2/13*j**3.
2*j*(j - 6)*(j + 3)/13
Let h(t) = t**5 - t**3 + 12. Let m(w) be the second derivative of 5*w**7/42 - w**5/4 + 25*w**2 - 218*w. Let s(o) = -25*h(o) + 6*m(o). Factor s(x).
5*x**3*(x - 1)*(x + 1)
Suppose 14 = -2*w + 4*w - 2*b, 4*w - 32 = 5*b. Determine h so that -66*h**2 - 8 - 10*h + 24*h**3 + 48*h - w*h**4 - 19 + 34*h = 0.
1, 3
Suppose 1956*s + 1 = 3*f + 1960*s, 2*s = -f - 1. Factor 0*g + 0 - 25/4*g**2 - 1/4*g**f.
-g**2*(g + 25)/4
Let z be (30/8)/(0 + 0 - -1). Let y = -5/4 + z. Suppose -1/2*g + 2*g**5 - y*g**4 + 5/2*g**2 + 0 - 3/2*g**3 = 0. Calculate g.
-1, 0, 1/4, 1
Let b(q) = -q**3 + 8*q**2 - 10*q + 23. Let v be b(7). Let a be 2 - (2 - 53) - 2. Find w such that -3*w**2 - 2*w**v + a*w - w = 0.
0, 10
Let w(f) be the first derivative of 380/3*f**3 + 34/5*f**5 + 98*f + 47*f**4 + 161*f**2 - 33 + 1/3*f**6. Determine l, given that w(l) = 0.
-7, -1
Let m = 18 - 15. Suppose c + 11 = 3*y, -m*y + c - 5 = -4*y. Factor -f - 4*f - y*f**2 + 5*f + 4.
-4*(f - 1)*(f + 1)
Let h be 27424/704 + -39 - 7*(-39)/198. Solve 0 + h*i**2 - 4*i + 1/3*i**3 = 0 for i.
-6, 0, 2
Let b(q) = q**2 + 2. Let c(o) = -2*o**3 + 276*o**2 - 8976*o - 9236. Let k(p) = -6*b(p) + c(p). Factor k(n).
-2*(n - 68)**2*(n + 1)
Let 144 - 116*l - 12049*l**2 + l**3 + 15*l**3 + 12005*l**2 = 0. What is l?
-9/4, 1, 4
Suppose -119808/7 + 165/7*f**4 - 3/7*f**5 + 38352/7*f**2 + 4878/7*f**3 + 76416/7*f = 0. Calculate f.
-8, 1, 78
Let v(o) = -13*o**4 - 23*o**3 - 96*o**2 - 120*o + 24. Let j(s) = -s**4 - s + 2. Let r(i) = 12*j(i) - v(i). Factor r(p).
p*(p + 2)*(p + 3)*(p + 18)
Let t be (-1)/(3 + -1) - (1540/(-8))/77. Factor 1 + 1/5*s**3 + 11/5*s + 7/5*s**t.
(s + 1)**2*(s + 5)/5
Suppose 6570*n - 6605*n + 70 = 0. Factor 12*v + 75/4*v**n + 3 + 57/4*v**3 + 3/4*v**5 + 21/4*v**4.
3*(v + 1)**3*(v + 2)**2/4
Find p, given that -597529/4 + 1545/4*p**2 - 595983/4*p - 1/4*p**3 = 0.
-1, 773
Let u = 9659137/5 + -1931827. Suppose 12/5*s**2 + 0 + 8/5*s**4 + u*s**5 + 0*s - 22/5*s**3 = 0. What is s?
-6, 0, 1
Factor -223 - 50*d**2 - 58*d**2 + 545*d + 189*d**2 - 71*d**2 - 52.
5*(d + 55)*(2*d - 1)
Let n(g) be the second derivative of g**7/6300 - 37*g**6/900 + 1369*g**5/300 - 5*g**4/6 + g - 17. Let r(i) be the third derivative of n(i). Factor r(c).
2*(c - 37)**2/5
Let v(f) = f**3 - f**2 + f + 1. Let r be (2*(-9)/18)/(-1). L