 p(j). Factor 0 + 0*m - 5*m**4 - 4*m**2 - 17/2*m**3 - 1/2*m**u.
-m**2*(m + 1)**2*(m + 8)/2
Let y(b) be the second derivative of b**4/36 - 2*b**3/9 - 10*b**2 + 45*b - 3. Determine w so that y(w) = 0.
-6, 10
Suppose 21/2*l**3 + 1/4*l**4 + 210*l + 481/4*l**2 + 100 = 0. What is l?
-20, -1
Suppose 555*m - 561*m = -12. Suppose -3*h**4 - 31*h + 18*h - 2*h**2 + 15*h - m*h**3 + 5*h**4 = 0. What is h?
-1, 0, 1
Let k be (-30)/(-21)*17913/12795. Solve -100/9 + 26/9*c**3 - 38/3*c**k + 190/9*c - 2/9*c**4 = 0.
1, 2, 5
Let u(b) be the second derivative of 3*b**5/4 - 85*b**4/12 - 155*b**3/3 + 120*b**2 + 3254*b. Factor u(m).
5*(m - 8)*(m + 3)*(3*m - 2)
Let r(i) be the third derivative of 0 - 1/30*i**5 + 1/120*i**6 - 1/48*i**4 + 1/210*i**7 + 0*i + 1/6*i**3 + 97*i**2 - 1/672*i**8. What is n in r(n) = 0?
-1, 1, 2
Let t(d) be the first derivative of 7/5*d**2 - 1/15*d**3 + 28 - 49/5*d. Factor t(h).
-(h - 7)**2/5
Let m be (-38)/(-2) + 5 + -8. Suppose m = 4*s - 0*s - v, 0 = 4*s - 4*v - 28. Factor -3*c**3 - 3*c**2 + 4*c + 5*c**3 - s*c**2.
2*c*(c - 2)*(c - 1)
Determine r, given that 46*r**2 - 38*r**2 - 158*r**2 - 105*r**5 + 120 + 25*r**3 + 100*r**5 + 30*r**4 - 20*r = 0.
-2, -1, 1, 2, 6
Let q(z) be the first derivative of z**6/24 + 3*z**5/10 + 3*z**4/4 + 5*z**3/6 + 3*z**2/8 - 3697. Suppose q(i) = 0. What is i?
-3, -1, 0
Let x(i) be the third derivative of 2*i**7/735 - i**6/42 - i**5/15 + 5*i**4/42 + 4*i**3/7 + 765*i**2. Determine n so that x(n) = 0.
-1, 1, 6
Let x = -723550 + 723554. Factor -2/9*c**4 + 16/9*c**3 - 10/9 + 32/9*c - x*c**2.
-2*(c - 5)*(c - 1)**3/9
Let l = -365 - -1099/3. Suppose -3*s - 3*i - 6 = 0, i + 2 = s - 4. Factor -l*v + 0 - 2/3*v**s.
-2*v*(v + 2)/3
Let c(a) be the first derivative of -1/380*a**5 - 6 + 0*a**2 + 0*a + 3*a**3 - 1/3420*a**6 + 0*a**4. Let h(s) be the third derivative of c(s). Factor h(j).
-2*j*(j + 3)/19
Let r(q) be the first derivative of -2/5*q**5 - 33 - 8*q - 3/2*q**4 + 10/3*q**3 + 3*q**2. Factor r(n).
-2*(n - 1)**2*(n + 1)*(n + 4)
Let s be -2*(10/(-8) + 15/(-60)). Solve 11*g**4 - 7*g**4 + 125*g**3 - 129*g**s = 0 for g.
0, 1
Suppose -2*h - h - 6 = -5*t, 0 = 4*h - t - 9. Factor h + 69 - 2*w**2 - 50 - 20*w.
-2*(w - 1)*(w + 11)
Let k = 74 - 54. Let m = k - 13. Find j such that 2*j**5 - m*j**2 - 4*j**5 - 25*j**2 - 246*j + 228*j - 4 - 28*j**3 - 12*j**4 = 0.
-2, -1
Let o(y) be the third derivative of 4*y**4 - y**2 - 26*y - 7/3*y**7 + 49/72*y**8 + 172/45*y**5 - 28/45*y**6 + 0 + 16/9*y**3. Suppose o(w) = 0. Calculate w.
-2/7, 1, 2
Let p(y) = -346*y + 10037. Let r be p(29). Factor -5/7*c**r - c**2 + 0 - 1/7*c**4 - 3/7*c.
-c*(c + 1)**2*(c + 3)/7
Let n(j) be the second derivative of 5*j**7/14 + 7*j**6/10 - 123*j**5/20 + 41*j**4/4 - 6*j**3 - 625*j. Solve n(h) = 0.
-4, 0, 3/5, 1
Let s(z) = -458*z + 143. Let a be s(-2). Let f = a - 1056. Find n such that 0 + 22/19*n**4 - 22/19*n**2 + 14/19*n**f + 4/19*n - 18/19*n**5 = 0.
-1, 0, 2/9, 1
Let o be -7*7/343 + 161/98. Let r(g) be the second derivative of -5*g - 1/8*g**4 + 0 + o*g**2 + 1/4*g**3. Determine x so that r(x) = 0.
-1, 2
Let g(t) = -445*t**3 - 460*t**2 - 27*t + 4. Let x(b) = -890*b**3 - 920*b**2 - 51*b + 7. Let d(s) = 7*g(s) - 4*x(s). Factor d(h).
5*h*(h + 1)*(89*h + 3)
Let k(v) = 8*v**2 - 15*v + 2. Let f be k(2). Factor -660*a + 4*a**3 + 660*a + 14*a**f.
2*a**3*(7*a + 2)
Let x be (27/(-12))/((35520/2048)/(-37)). Let 0 + 4*s**2 - x*s + 56/5*s**3 - 8/5*s**5 + 4/5*s**4 = 0. What is s?
-2, -1, 0, 1/2, 3
Solve -24 + f**3 - f**3 - 12*f - 3734*f**2 + 3*f**3 - 30*f**4 - 33*f**4 + 3992*f**2 = 0 for f.
-2, -2/7, 1/3, 2
Let r(g) be the third derivative of 1/390*g**5 + 2*g + 1/26*g**4 + 26*g**2 + 0 - 7/39*g**3. Factor r(z).
2*(z - 1)*(z + 7)/13
Let r(u) be the second derivative of 4/11*u**2 + 70*u + 1/66*u**4 + 4/33*u**3 + 0. Factor r(c).
2*(c + 2)**2/11
Let s(g) = 119*g**3 - g**2 - 10*g + 20. Let w(m) = -12*m**3 + m - 2. Let t(o) = -3*s(o) - 30*w(o). Find h such that t(h) = 0.
-1, 0
Let z(f) be the second derivative of f**4/4 - 73*f**3/2 + 108*f**2 + 3*f - 193. Let z(b) = 0. Calculate b.
1, 72
Let r = -3119 + 3133. Let u(s) be the third derivative of -5/8*s**4 + 0 + 1/20*s**5 - r*s**2 + 2*s**3 + 0*s. Suppose u(b) = 0. Calculate b.
1, 4
Let d be -3*(-3 - (-236)/12). Let x = d - -53. Factor -5*l**2 - 7*l**x + 25*l**4 - 3*l**3 - 29*l**4 + l**2.
-2*l**2*(l + 2)*(2*l + 1)
Let o = -466 - -461. Let u(y) = -7*y**4 - 16*y**3 + y**2 + 5*y. Let m(v) = 6*v**4 + 14*v**3 - 4*v. Let k(q) = o*m(q) - 4*u(q). Factor k(n).
-2*n**2*(n + 1)*(n + 2)
Suppose 5*r - 2802 = 2*n + 15489, 3*n = 2*r - 7312. Let b = -1711 + r. Factor -2*c + b*c**3 - 1949*c**3 - 3*c**2 + 0*c**2.
-c*(c + 1)*(c + 2)
Let q(y) be the third derivative of -y**7/315 + y**6/60 + y**5/90 - y**4/12 - 1171*y**2. Factor q(t).
-2*t*(t - 3)*(t - 1)*(t + 1)/3
Solve 10/9*v**3 + 724/9*v**2 + 998/9*v + 284/9 = 0.
-71, -1, -2/5
Suppose -22*s + 17*s - 174 = -4*v, 0 = -5*v + 8*s + 200. Suppose -2/7*l**2 - 8*l - v = 0. What is l?
-14
Let w(z) be the second derivative of -z**5/20 - z**4/12 - 13*z. Let y be w(-1). Find f such that 2*f**2 + 0*f**2 + y*f**2 + 3*f**2 + 10*f - 15 = 0.
-3, 1
Let m(s) = 7*s**3 - 48*s**2 + 155*s - 106. Let d(f) = 19*f**3 - 145*f**2 + 467*f - 319. Let n(c) = -4*d(c) + 11*m(c). Factor n(w).
(w - 2)*(w - 1)*(w + 55)
Let o(j) be the second derivative of -j**6/6 + j**5 + 115*j**4/4 + 260*j**3/3 - 440*j**2 + j - 9. Solve o(g) = 0 for g.
-4, 1, 11
Let y(u) = u**2 - 2*u + 1. Let f(s) = s + 1. Suppose 2*x - 9*r - 6 = -13*r, -2*x + 4*r = 2. Let q(c) = x*f(c) - y(c). Factor q(g).
-g*(g - 3)
Let a = 4090 - 12260/3. Suppose -y - 2 = -6. Factor a + y*r**2 - 22/3*r.
2*(r - 1)*(6*r - 5)/3
Let 19289*a**4 + 8464*a**2 - 9711*a**4 - 2*a**5 - 9758*a**4 - 3864*a**3 = 0. Calculate a.
-46, 0, 2
Let p = 2571293/5 + -514257. Factor 0 + 1/5*d**3 + 12/5*d + p*d**2.
d*(d + 2)*(d + 6)/5
Suppose 3*s + s - 80 = 0. Let g = s - 18. Find f, given that -3 + 3*f**3 + 83*f**4 - 3 - 116*f**4 + 39*f**g - 15*f + 12*f**5 = 0.
-1, -1/4, 1, 2
Let x(j) be the first derivative of -18/7*j - 12/7*j**2 - 211 - 8/21*j**3. Factor x(z).
-2*(2*z + 3)**2/7
Let o(q) be the first derivative of 3*q**4/16 + 55*q**3/4 + 141*q**2 + 2941. Factor o(t).
3*t*(t + 8)*(t + 47)/4
Let d(s) = -26*s - 123. Let r be d(-5). Suppose 2*h - 5*h + 6 = 0, -h = i - r. Factor -9/4*n**4 + 0*n + 0 + 9/4*n**3 - 3/4*n**2 + 3/4*n**i.
3*n**2*(n - 1)**3/4
Let d(r) be the first derivative of -13*r**5/20 - 2*r**4 - 3*r**3/2 + r**2 + 123*r + 7. Let v(f) be the first derivative of d(f). Factor v(h).
-(h + 1)**2*(13*h - 2)
Let t(a) be the third derivative of -a**8/1344 + 53*a**7/120 + 149*a**6/96 + 373*a**5/240 - 5*a**2 + a + 445. Factor t(u).
-u**2*(u - 373)*(u + 1)**2/4
Let s(l) be the first derivative of -21/2*l**4 - 80*l**3 + 0*l - 100*l**2 - 101 - 2/5*l**5. What is y in s(y) = 0?
-10, -1, 0
Let y be (-70)/(-350)*120/84. Solve -26/7*x - y*x**2 + 0 = 0 for x.
-13, 0
Let j be 160/26 - (-18)/(-117). Suppose 0 = -j*v + 1 + 11. Factor -92 - 49 - 108*f - 4*f**3 + 33 - 36*f**v.
-4*(f + 3)**3
Solve -365*b - 567 - 15*b**2 - 443 + 0 - 210 = 0 for b.
-61/3, -4
Let b(a) be the second derivative of -6*a + 0*a**2 - 2/21*a**7 + 0*a**4 + 0*a**3 + 2 + 2/5*a**6 + 4/5*a**5. Let b(n) = 0. What is n?
-1, 0, 4
Let c(o) = 14*o**2 - 3*o. Let t(b) = -6*b**2 + 2*b. Let z = -194 - -196. Let f(u) = z*c(u) + 5*t(u). Solve f(p) = 0.
0, 2
Let b be (-62)/(-5) - 6/(-10). Let y(h) = h**3 - 13*h**2 + h - 10. Let w be y(b). Factor -2*x**2 - x**3 + x**2 + 4*x - w*x + x**4 + 0*x.
x*(x - 1)**2*(x + 1)
Let s be (81/6 - 1)*2. Let g(u) be the first derivative of 0 + 4*u - 1 - 5 - 21 + s*u**2 + 42*u**3. Determine p so that g(p) = 0.
-2/7, -1/9
Let w(i) be the first derivative of -2*i**3/33 + 63*i**2/11 + 980*i/11 - 3962. Find n such that w(n) = 0.
-7, 70
Suppose 40*u - 80 = 32*u. Factor 5*k**2 - 13551 + 13551 - u*k.
5*k*(k - 2)
Suppose 837*l = 696*l + 423. Let 2*w**2 + 0 + 0*w - 1/3*w**l = 0. Calculate w.
0, 6
Let f be (-64)/(-480) - (-556)/(-2370). Let c = f - -253/158. Factor -3*p - 3/2*p**2 - c.
-3*(p + 1)**2/2
Let s(q) be the first derivative of 7*q**6/10 - 54*q**5/25 + 9*q**4/4 - 4*q**3/5 - 585. Factor s(w).
3*w**2*(w - 1)**2*(7*w - 4)/5
Factor -49*r - 68 - 94 + 128 + 3*r**2.
(r - 17)*(3*r + 2)
Let p = 707137/348 + -2032. Let k = 115/348 + p. Find l such that 0*l**2 +