260 - 29*s**5/20 + 73*s**2. Let c(m) be the third derivative of u(m). Factor c(a).
-(a + 1)*(7*a - 4)/7
Let p(q) = -12*q**2 + 2*q. Let y be p(2). Let o be (y/(-55))/(40/75). Suppose -9/8 - o*i + 1/4*i**2 - 1/8*i**4 + 1/2*i**3 = 0. What is i?
-1, 3
Let d = 312/95 - 556/285. Let g(l) be the first derivative of 0*l**2 - d*l**3 + 4 + 4*l. Factor g(h).
-4*(h - 1)*(h + 1)
Let r(s) be the second derivative of -s**6/10 - 25*s**5/3 + 28*s**4/3 - 25*s**3/2 + 2*s + 22. Let k(n) be the second derivative of r(n). Factor k(v).
-4*(v + 28)*(9*v - 2)
Let n(h) = 23*h**2 + 4*h + 8 + 10 - 21*h**2 - 6. Let a(l) = l**2 - 1. Let k(f) = 4*a(f) - n(f). Determine s so that k(s) = 0.
-2, 4
Let q = -7169/9300 - -24/31. Let j(c) be the third derivative of 0*c + 0*c**7 + q*c**6 + 0*c**4 - 1/2520*c**8 + 1/225*c**5 + 0*c**3 + 0 - 20*c**2. Factor j(x).
-2*x**2*(x - 2)*(x + 1)**2/15
Let i be 13730/(-11) - 13/52*-20. Let x = -1243 - i. Factor -x*c**2 + 8/11 + 0*c.
-2*(c - 2)*(c + 2)/11
Let t(a) = a**2 - 13. Let h be t(-4). Suppose -24*j + 14*j - 2*j**2 + h*j**2 - 3*j**2 = 0. Calculate j.
-5, 0
Let -2394/5 - 363/5*t - 3/5*t**2 = 0. What is t?
-114, -7
Let l(q) be the third derivative of q**8/672 - 57*q**7/140 + 2521*q**6/80 - 21673*q**5/120 + 889*q**4/2 - 588*q**3 + 1443*q**2. Let l(s) = 0. What is s?
1, 84
Suppose -5*c - 3*n = 103 + 132, -2*c - 85 = 3*n. Let x = c - -52. Determine g, given that 15*g**x - 7*g**4 + 12*g**4 - 8*g + 3*g - 15*g**3 = 0.
0, 1
Let p be (-49)/(9996/72)*17/(-51). Factor 8/17*f - 6/17*f**2 - p*f**3 + 0.
-2*f*(f - 1)*(f + 4)/17
Let l(j) be the second derivative of 5*j**5/2 + 15*j**4 + 63*j**3/4 + 27*j**2/4 - 7655*j. Factor l(g).
(g + 3)*(10*g + 3)**2/2
Let z be ((-9)/76)/(1 - 973/952). Let i = z + -230/57. Suppose i*d**4 + 0*d**2 + 9/2*d + 0 - 1/6*d**5 - 3*d**3 = 0. Calculate d.
-1, 0, 3
Let c(x) be the third derivative of x**5/20 + 31*x**4/8 - 475*x**3 + 2176*x**2. Factor c(g).
3*(g - 19)*(g + 50)
Let b(h) be the first derivative of -h**7/280 + 2*h**6/15 + 7*h**5/8 + 9*h**4/4 + 67*h**3 + 99. Let l(q) be the third derivative of b(q). Factor l(o).
-3*(o - 18)*(o + 1)**2
Let h(t) = 863*t - 3449. Let k be h(4). Suppose 1/3*s**k - 1/6*s**5 + 0*s**2 + 0*s**4 + 0 - 1/6*s = 0. Calculate s.
-1, 0, 1
Let u = 44 + -41. Let a(q) be the first derivative of 0*q + 0*q**u - 1/22*q**4 - 17 + 1/11*q**2. Factor a(w).
-2*w*(w - 1)*(w + 1)/11
Let r be (-1100)/(-352)*(1/(-2))/((-24)/384). Solve -r*k + 35/6*k**2 + 20/3 = 0 for k.
2/7, 4
Let s = 8 + 50. Let n = s - 55. Find m such that -3*m**4 - 4*m**4 - 8 + 0*m**4 + 19*m**n + 4*m**4 - 42*m**2 + 36*m = 0.
1/3, 2
Let k be 152/836 + (-4294)/22. Let o = k - -1563/8. Factor -1/2*w - 1/2 + 1/4*w**3 + o*w**2 - 1/8*w**4.
-(w - 2)**2*(w + 1)**2/8
What is y in -17/4*y**4 + 13/2*y**2 - 3/8*y**5 + 5/2*y - 35/8*y**3 + 0 = 0?
-10, -2, -1/3, 0, 1
Let m(u) be the third derivative of -5/48*u**5 + 0*u**3 + 1/32*u**6 + 21*u**2 + 0*u + 0 + 5/48*u**4. Factor m(h).
5*h*(h - 1)*(3*h - 2)/4
Let w(p) be the first derivative of p**4/6 - 38*p**3/9 + 34*p**2/3 - 3246. Factor w(g).
2*g*(g - 17)*(g - 2)/3
Let x(b) be the third derivative of b**5/390 - 109*b**4/156 - 320*b**2. Factor x(c).
2*c*(c - 109)/13
Let v(n) be the first derivative of n**5/25 - n**4/20 - 14*n**3/15 + 12*n**2/5 + 354. Suppose v(k) = 0. What is k?
-4, 0, 2, 3
Suppose -46 = -2*o + 5*g, 136*o + 4 = 132*o - 2*g. Determine m so that 0 - o*m - 3/2*m**2 = 0.
-2, 0
Let j = 18573063/220136 + 114/27517. Factor 159/8*y - 243/8*y**3 - 9/8 - j*y**2.
-3*(y + 3)*(9*y - 1)**2/8
Let z(k) be the first derivative of -k**4/20 - 44*k**3/5 + 409*k**2/10 + 108*k + 833. Factor z(h).
-(h - 4)*(h + 1)*(h + 135)/5
Suppose 3*x + x = 4*k - 2 - 6, 0 = 5*x. Solve 0 + 0*m + 2/7*m**k = 0.
0
Let c(m) = -25*m**3 - 313*m**2 - 575*m - 375. Let z(k) = 9*k**3 + 105*k**2 + 192*k + 129. Let l(f) = -3*c(f) - 8*z(f). Factor l(j).
3*(j + 1)**2*(j + 31)
Determine s so that -3/4*s**2 + 7/2*s**3 - 18*s - 5 = 0.
-2, -2/7, 5/2
Solve -71/2*s**2 - 1/4*s**5 - 89/4*s**3 + 46 + 12*s**4 + 45*s = 0 for s.
-1, 2, 46
Let g(i) = 2*i**2 + 26*i + 46. Let w be g(-2). Let v be ((-130)/(-130))/(w/8). Factor -3/2*t**2 + 3/2*t**v + 9/2*t**3 - 9/2*t + 0.
3*t*(t - 1)*(t + 1)*(t + 3)/2
Solve -8/5*k**5 - 24/5*k**4 - 2*k**3 + 16/5*k**2 - 4/5 + 6/5*k = 0 for k.
-2, -1, 1/2
Solve 69*m**5 - 180 + 7*m - 64*m**5 - 2*m**3 + 13*m - 45*m**4 - 23*m**3 + 225*m**2 = 0 for m.
-2, -1, 1, 2, 9
Let f be 298/(-16)*(-3)/15 + (72842/688 - 106). Solve f - 7/5*d - 1/5*d**2 = 0 for d.
-9, 2
Let g be ((-8)/(-4))/(-4 + 2 + 8). Factor g*k - 1/9*k**2 + 4/9.
-(k - 4)*(k + 1)/9
Let x be (-1 - 80/(-26)) + 6319/(-82147). Find g such that 0 + 2/9*g**3 - 4/9*g + 2/9*g**x = 0.
-2, 0, 1
Let a(d) be the first derivative of -8*d**5 + 0*d + 105/4*d**4 + 20*d**2 - 110/3*d**3 - 13 + 5/6*d**6. Factor a(u).
5*u*(u - 4)*(u - 2)*(u - 1)**2
Let r be 14/3 - 384/576. Let f(u) be the second derivative of 7*u + 0 - 1/60*u**5 + 0*u**2 - 1/6*u**r - 1/2*u**3. Factor f(z).
-z*(z + 3)**2/3
Suppose -221*y - 948*y + 4316 + 602*y - 5*y**2 + 604 - 1883*y = 0. What is y?
-492, 2
Solve 4/5*z - 2/5*z**3 + 6/5*z**2 + 0 - 6/5*z**4 - 2/5*z**5 = 0 for z.
-2, -1, 0, 1
Let s(q) = 3*q**4 + 64*q**3 - 5*q**2 - 58*q + 4. Let y(t) = 3*t**4 + 63*t**3 - 6*t**2 - 54*t + 6. Let j(h) = 3*s(h) - 2*y(h). Find l such that j(l) = 0.
-22, -1, 0, 1
Let j(o) be the third derivative of -1/30*o**5 + 1/60*o**6 - 1/30*o**3 - 11 + 1/1680*o**8 + 1/24*o**4 - 1/210*o**7 + 5*o**2 + 0*o. Let j(a) = 0. What is a?
1
Let y(b) be the third derivative of -b**6/840 - 173*b**5/84 - 36*b**4/7 - 1947*b**2. Find r such that y(r) = 0.
-864, -1, 0
Let g(r) be the second derivative of -2*r**6/15 + 13*r**5/5 + 5*r**4 - 26*r**3/3 - 28*r**2 - 197*r - 3. Let g(h) = 0. What is h?
-1, 1, 14
Let b(f) be the second derivative of 11*f - 10*f**2 + 1/45*f**6 - 9/10*f**5 - 89/9*f**3 - 29/6*f**4 + 3. Factor b(k).
2*(k - 30)*(k + 1)**3/3
Let s be 2*3/4*2. Let m(o) = -102*o - 609. Let l be m(-6). Suppose 2*b**2 + b**3 - s*b**3 + 5*b**l + 3*b + 4*b**2 = 0. What is b?
-1, 0
Let v(i) be the third derivative of -i**5/210 + 17*i**4/21 - 1012*i**3/21 + 1427*i**2. Factor v(q).
-2*(q - 46)*(q - 22)/7
Let t(p) = -7*p - 117. Let a be t(-17). Determine r so that -2*r**a - 314*r + 147*r - 40 + 143*r = 0.
-10, -2
Let r be (-9)/(-3)*(2 + 2). Factor -r*b**2 + 5*b**4 - 3*b**4 + 15 + 12*b - 12*b**3 - 6*b**2 + b**4.
3*(b - 5)*(b - 1)*(b + 1)**2
Factor -5*c + 305 + 34*c**3 + 56*c**2 - 223*c**2 - 138*c**2 - 29*c**3.
5*(c - 61)*(c - 1)*(c + 1)
Let r(m) = -13*m**4 + 2*m**3 - 5*m**2 - 16*m + 8. Let i(o) = -5*o**4 + o**3 - 2*o**2 - 6*o + 3. Let f(u) = -8*i(u) + 3*r(u). Factor f(w).
w**2*(w - 1)**2
Let n(a) be the third derivative of -a**7/840 - a**6/360 - a**3/3 + 2*a**2 - 51. Let c(v) be the first derivative of n(v). Factor c(j).
-j**2*(j + 1)
Let s(q) be the first derivative of -24/11*q**3 - 38/11*q**2 + 127 - 5/11*q**4 - 26/11*q + 2/55*q**5. Factor s(d).
2*(d - 13)*(d + 1)**3/11
Let r = -500431 - -2502163/5. Suppose 1/5*f**2 + 16/5 - r*f = 0. Calculate f.
4
Let u(n) = -n**4 + 2*n**3 - 2*n**2 + 1. Let z(q) = -12*q**4 + 73*q**3 - 21*q**2 - 51*q + 11. Let s(b) = 55*u(b) - 5*z(b). Solve s(t) = 0 for t.
-1, 0, 1, 51
Factor -7655/2*s - 1095 + 35/2*s**2.
5*(s - 219)*(7*s + 2)/2
Factor -29/3*n + 2/3*n**3 - 65/6 + 11/6*n**2.
(n + 1)*(n + 5)*(4*n - 13)/6
Let 21/5*l - 104/5 - 1/5*l**2 = 0. Calculate l.
8, 13
Let m(j) be the third derivative of 77/90*j**5 + 0 + 3/4*j**6 + 0*j + 0*j**3 + 5/18*j**4 + 22*j**2 - 2/63*j**8 - 8/45*j**7. Find s, given that m(s) = 0.
-5, -1/4, 0, 2
Let f be (1 - (-14092)/(-8))*(1 + -3). Factor f*n**3 - 6 - 10*n**2 + 15*n + 15*n**4 - 3531*n**3 + 1 - 5*n**5.
-5*(n - 1)**4*(n + 1)
Let v(p) = -p**3 + 5*p**2 + 5*p + 10. Let r be v(6). Solve -4*z**4 + 13*z**4 - 4*z**3 - 6*z**r - 9*z**5 + 10*z**5 = 0.
-4, 0, 1
Let r(h) be the second derivative of h**4/24 - 17*h**3/6 + 16*h**2 - h + 1112. Factor r(j).
(j - 32)*(j - 2)/2
Find l such that 5*l**3 + 295/3*l + 0 + 890/3*l**2 = 0.
-59, -1/3, 0
Factor -105/2*f - 33/2*f**2 - 3/2*f**3 - 75/2.
-3*(f + 1)*(f + 5)**2/2
Let t(r) = 301*r - 35. Let p be t(2). Let a be (2/12 + -1)*p/(-1260). Solve 0 - a*l**3 - 15/8*l**2 + 0*l = 0.
-5, 0
Suppose -422 = 134*q - 552 - 540. Let d(k) be the third derivative of 0 - 1/2*k**3 - 1/8*k**4 + 2*k**2 + 0*k + 3