1/3*d**3 - 3*d + 5/3*d**2 + 7 + 1/72*d**4. Find n, given that f(n) = 0.
-10, -2
Let l(a) = -26198*a - 52393. Let k be l(-2). Find n, given that 1/3*n**2 - k*n + 20/3 = 0.
4, 5
Suppose 0*p = 29*p - 696. Suppose 3*s - p = -4*i, 4*i + 5*s - 41 = -9. Let 16*j + 2/5*j**4 - 24/5*j**2 - 4/5*j**i - 64/5 = 0. Calculate j.
-4, 2
Let d(w) be the second derivative of w**7/21 - 2*w**6/15 - 11*w**5/5 - 8*w**4/3 + 7*w**3 + 18*w**2 - 3176*w. Find r such that d(r) = 0.
-3, -1, 1, 6
Let t(l) be the first derivative of l**6/6 - 4*l**5/15 - 43*l**4/12 - 56*l**3/9 - 10*l**2/3 + 1972. What is o in t(o) = 0?
-2, -1, -2/3, 0, 5
Let v(f) be the first derivative of f**4/24 - 17*f**3/6 + 253*f**2/4 - 2645*f/6 + 9339. Factor v(b).
(b - 23)**2*(b - 5)/6
Let m = 603 + -599. Let d(y) be the first derivative of 3/2*y**2 - 9*y + 15 + 8/3*y**3 - y**m. Let d(z) = 0. What is z?
-1, 3/2
Let a = 27499/8386 + 179/1198. Find x, given that -4*x + 4/7*x**3 + a*x**2 + 0 = 0.
-7, 0, 1
Let h(j) = -21285*j**2 + 30245960*j - 14316440000. Let u(q) = -q**3 + 3*q**2 - 8*q. Let g(v) = h(v) - 5*u(v). Factor g(r).
5*(r - 1420)**3
Let z(q) be the second derivative of -q**4/48 - 17*q**3/2 - 2601*q**2/2 + 43*q - 21. Determine d, given that z(d) = 0.
-102
Let b be 1 + 17 + (2314/104 - 38). Let -9/8*m - 15/4 + b*m**2 - 3/8*m**3 = 0. Calculate m.
-1, 2, 5
Let x = 39 + -41. Let l be 1/((3/(-3))/x). Factor 9*q + 2 + 1 + 9*q**2 - l*q**3 + 5*q**3.
3*(q + 1)**3
Factor -148/3*s**3 + 23104/3 + 1724*s**2 + 1/3*s**4 + 22496/3*s.
(s - 76)**2*(s + 2)**2/3
Let c be (97 - 85448/880)*(-2)/(-4)*2*-5. Factor 5/6*h**2 - 1/6*h**3 + c - 7/6*h.
-(h - 3)*(h - 1)**2/6
Let d(g) be the first derivative of -1/9*g**3 - 11/6*g**2 - 120 + 4*g. Determine x so that d(x) = 0.
-12, 1
Determine x, given that 105*x**2 - 80 + 405*x**2 + 5*x**4 - 8510*x**3 + 680*x + 8630*x**3 + 365 = 0.
-19, -3, -1
Let 37/6 - 6*z - 1/6*z**2 = 0. Calculate z.
-37, 1
Factor -10/11*m - 2/11*m**2 + 48/11.
-2*(m - 3)*(m + 8)/11
Let k(t) be the first derivative of -2*t**6/3 - 23232*t**5/5 - 12649824*t**4 - 16326706176*t**3 - 8889891512832*t**2 - 3721. Factor k(i).
-4*i*(i + 1452)**4
Let q(r) = -4*r**2 + 336*r - 970. Let a be q(81). Factor 67/3*n**a - 4/3*n**4 - 1/6*n**5 + 23/6*n**3 - 238/3*n + 196/3.
-(n - 2)**3*(n + 7)**2/6
Determine s so that 22*s**2 - 2/11*s**3 + 2032/11*s + 4128/11 = 0.
-4, 129
Let d(o) be the third derivative of -o**8/2184 + 22*o**7/1365 + 49*o**6/780 - 11*o**5/195 - 4*o**4/13 + 2178*o**2. Determine l, given that d(l) = 0.
-2, -1, 0, 1, 24
Let s(u) be the third derivative of -1/60*u**5 - 1/720*u**6 + 0*u + 18*u**2 + 1/840*u**7 + 0*u**3 - 1/36*u**4 + 1/4032*u**8 + 0. Let s(g) = 0. Calculate g.
-2, -1, 0, 2
Let o(c) = -2*c + 25. Let i be o(11). Let 7316*p**2 + 8*p**i + p**3 - 7277*p**2 + 36*p = 0. What is p?
-3, -4/3, 0
Let k = 2313/35 - 124/5. Let i = k - 288/7. Factor 6/7*n**2 + 6/7 - i*n**3 - 11/7*n.
-(n - 3)*(n - 2)*(n - 1)/7
Let d(f) be the first derivative of f**5/5 + f**4/4 - 14*f**3/3 - 12*f**2 - 1223. Determine b, given that d(b) = 0.
-3, -2, 0, 4
Let u(a) = 6*a**3 + 226*a**2 + 301*a + 81. Let p(l) = 3*l**3 + 112*l**2 + 150*l + 41. Let w(n) = 5*p(n) - 3*u(n). What is h in w(h) = 0?
-38, -1, -1/3
Suppose c - 433 = -0*c + 5*u, 3*c = -u + 1235. Let k = 413 - c. Factor 4/3*m**4 + k - 4/3*m**2 - 2/3*m**5 + 2/3*m + 0*m**3.
-2*m*(m - 1)**3*(m + 1)/3
Let k(n) = 4*n**3 + 551*n**2 + 18985*n - 19595. Let y(f) = -2*f**3 - 276*f**2 - 9498*f + 9798. Let m(p) = -2*k(p) - 5*y(p). Factor m(a).
2*(a - 1)*(a + 70)**2
Suppose -2*t + 2*h = 2, t - 3*h = h - 10. Let u(p) be the third derivative of 0*p - t*p**4 + 1/20*p**5 + 0 + 4*p**2 + 32*p**3. Determine o so that u(o) = 0.
8
Let z be 2/(-6)*2835/105. Let c be -10 + (z - (3 - 24)). Factor 0*i + 2/5*i**5 + 0 - c*i**4 + 18/5*i**2 + 6/5*i**3.
2*i**2*(i - 3)**2*(i + 1)/5
Determine p so that 3/7*p**3 + 39*p + 141/7*p**2 + 135/7 = 0.
-45, -1
Suppose -13*d + 38 = 6*d. Factor -5*j**3 + 37*j + 83*j - 15*j**d - 161 + 561.
-5*(j - 5)*(j + 4)**2
Let b = -22016 - -22019. Let p(u) be the second derivative of -44*u + 0*u**2 + 0 + 1/30*u**5 + 1/9*u**4 + 0*u**b. Determine i, given that p(i) = 0.
-2, 0
Let p(q) = -505*q - 1570. Let n(o) = -o**2 - 511*o - 1568. Let d(k) = -5*n(k) + 4*p(k). Factor d(g).
5*(g + 3)*(g + 104)
Factor 1/4*d**4 + 3*d**3 + 5*d**2 + 0*d + 0.
d**2*(d + 2)*(d + 10)/4
Suppose 3*r = -4 + 10. Let g(n) = -n**2 - 12*n + 15. Let t be g(-13). Determine x, given that -5 - 2 + 10*x + 19 - t*x**r = 0.
-1, 6
Let z(q) be the first derivative of q**4/2 - 146*q**3 + 12099*q**2 - 23762*q + 2574. Find x such that z(x) = 0.
1, 109
Suppose -29*f + 26*f = -6. Factor -1870*u**f + 1868*u**2 + 7 + 20*u - 25.
-2*(u - 9)*(u - 1)
Let j(k) = 4*k + 23. Let w be j(-5). Let i be -4 + (4 - w)*4. Factor 3 - 33*n**3 - 9*n + 9*n**2 + i*n**2 + 30*n**3.
-3*(n - 1)**3
Let l(t) be the third derivative of -31/60*t**6 - 25/12*t**4 + 2/35*t**7 + 47/30*t**5 + t**3 + 0*t - 37 - 2*t**2. Factor l(q).
2*(q - 3)*(q - 1)**2*(6*q - 1)
Factor 1960/3*n + 0 + 2/3*n**4 + 112/3*n**2 - 46/3*n**3.
2*n*(n - 14)**2*(n + 5)/3
Let m(d) be the third derivative of d**6/1260 + 121*d**5/90 - 212*d**4/63 - 22*d**2 - 32*d. Determine b, given that m(b) = 0.
-848, 0, 1
Suppose -13004201 - 537642*s**2 - 5593302 - 24656981 - 15230931 + 1307172*s**2 + 57712480*s + 3400*s**3 + 5*s**4 = 0. What is s?
-227, 1
Let x(g) = 2*g**2 - 668*g - 4810. Let i(c) = -4*c**2 + 1335*c + 9631. Let d(h) = -4*i(h) - 10*x(h). Let d(l) = 0. Calculate l.
-7, 342
Let k(d) be the second derivative of 2*d**4/63 + 193*d**3/21 + 144*d**2/7 - 290*d + 2. Factor k(s).
2*(s + 144)*(4*s + 3)/21
Let d = 588873/2 - 294436. Factor -d*b**2 - b + 4/3 + 1/6*b**3.
(b - 4)*(b - 1)*(b + 2)/6
Let g be 2*(-2 - 8)*1. Let r be 20/30 - g/6. Solve 6*y**3 + y**3 - 6*y**4 - 6*y**r - 3*y**3 + 28*y**2 - 16 - 4*y**5 = 0 for y.
-2, -1, 1
Suppose 10*f = 8*f + 48. Let o = 29 - f. Factor o*v + 197*v**2 + 7 - 2 - 5*v**3 - 202*v**2.
-5*(v - 1)*(v + 1)**2
Suppose b - 28 = -3*b + 4*q, 4*q = 12. Factor -5*u**3 - b*u**2 - 864*u + 82*u**2 + 3276 + 3*u**3 + 180.
-2*(u - 12)**3
Let v(y) = 8*y**4 + 134*y**3 + 564*y**2 + 12*y + 6. Let i(w) = -17*w**4 - 266*w**3 - 1130*w**2 - 26*w - 13. Let k(n) = 6*i(n) + 13*v(n). Factor k(q).
2*q**2*(q + 4)*(q + 69)
Let d(o) be the second derivative of -o**5/20 - 5*o**4/3 - 23*o**3/2 + 45*o**2 + 2302*o. Factor d(p).
-(p - 1)*(p + 6)*(p + 15)
Let a = -24125 - -24128. Solve 2/3*r**a + 16/3*r - 4*r**2 + 0 = 0.
0, 2, 4
Let -2*v**3 - v**3 + 376 - 30*v**2 - 345*v + 101 - 153*v**2 + 54 = 0. Calculate v.
-59, -3, 1
Let r(l) = -1906*l - 121984. Let z be r(-64). Factor 0*m**4 + 2/3*m**3 + z - 1/3*m + 0*m**2 - 1/3*m**5.
-m*(m - 1)**2*(m + 1)**2/3
Let p(b) be the third derivative of b**5/480 - 7*b**4/48 + 25*b**3/16 - 2*b**2 - b - 245. Solve p(v) = 0.
3, 25
Let i(o) be the first derivative of -9*o**5 - 1369*o**4/4 - 572*o**3/3 - 30*o**2 - 4723. Solve i(b) = 0 for b.
-30, -2/9, -1/5, 0
Let o(g) be the second derivative of -g**7/105 - 4*g**6/75 + 3*g**5/25 + 2*g**4/15 - g**3/3 - g - 3897. Solve o(k) = 0 for k.
-5, -1, 0, 1
Let t = -44 + 47. Suppose -5*d = -4*d - t. Factor -16*u**4 - 3*u**2 + 3*u**5 - u**2 + u**4 - 5*u**2 + 21*u**d.
3*u**2*(u - 3)*(u - 1)**2
Let z(i) = -15*i**2 + 5*i. Let g be (-8)/(-2) + -8 - 1. Let a be (3 + -2)*(0 - g). Let n(d) = d. Let r(u) = a*n(u) + z(u). Factor r(c).
-5*c*(3*c - 2)
Let j = -268 + 103. Let h be (-3)/(j/(-44))*(-10)/4. Factor -1/4*p**4 + 1/2*p**3 + 0*p**h + 1/4 - 1/2*p.
-(p - 1)**3*(p + 1)/4
Let o(b) be the second derivative of -b**5/110 + 497*b**4/66 - 62000*b**3/33 + 61504*b**2/11 + 1605*b. Factor o(u).
-2*(u - 248)**2*(u - 1)/11
Let l(m) = -m**3 - 74*m**2 - 239*m - 199. Let u(j) = 35*j**2 + 120*j + 100. Let q(w) = 5*l(w) + 11*u(w). Solve q(o) = 0.
-3, -1, 7
Let k(s) be the first derivative of -34*s**4 - 8*s**5 - 2/3*s**6 - 40*s - 74*s**2 + 12 - 208/3*s**3. Factor k(i).
-4*(i + 1)**3*(i + 2)*(i + 5)
Determine c so that 7 - 13*c - 323*c**3 + 645*c**3 - 9*c**2 - 309*c**3 + 2*c**4 = 0.
-7, -1, 1/2, 1
Let o(r) be the second derivative of -1/24*r**4 + 0*r**5 + 0 - 5*r**2 + 1/360*r**6 + 16*r + 1/9*r**3. Let n(g) be the first derivative of o(g). Factor n(f).
(f - 1)**2*(f + 2)/3
Let f(z) be the second derivative of -2*z**6/105 - 17*z**5/7 + 87*z**4/7 - 526*z**3/21 + 176*z**2/