a**2 + 1/5*a**5 + 0*a - 8/3*a**v - 1/12*a**6. Factor h(m).
2*(m - 2)**3*(m + 1)
Let z be 15/(-2)*8/10*-1. Suppose -u = z - 17. Suppose 52 - u + 4*f**2 - 5 - 24*f = 0. Calculate f.
3
Let v(d) be the second derivative of d**6/285 - d**5/38 - 17*d**4/114 + 43*d**3/19 - 180*d**2/19 - 184*d. Find r, given that v(r) = 0.
-5, 3, 4
Let q(l) = 2*l**4 + 71*l**3 - 128*l**2 + 64*l + 9. Let j(y) = 18*y**3 - 32*y**2 + 16*y + 2. Let r(w) = 9*j(w) - 2*q(w). Determine n, given that r(n) = 0.
0, 1, 2
Solve 22400 + 61610*n**2 + 3418*n**3 - 418*n**3 + 6154*n**3 + 60*n**5 - 494*n**3 - 122240*n + 100846*n**2 - 2024*n**4 = 0.
-7, 1/3, 2/5, 20
Let n be 2265 + -2294 + 31*1. Find u such that -2 + 12/7*u + 2/7*u**n = 0.
-7, 1
Let y(d) be the first derivative of -2/15*d**3 - 1/15*d**4 - 14*d + 20 + 0*d**2. Let o(p) be the first derivative of y(p). Factor o(z).
-4*z*(z + 1)/5
Let r(h) be the first derivative of 2*h**5/35 + 204*h**4/7 + 36992*h**3/7 + 2515456*h**2/7 - 2103. Factor r(v).
2*v*(v + 136)**3/7
Let k(i) be the first derivative of 1/11*i**2 + 1/22*i**4 - 4/33*i**3 - 56 + 0*i. Let k(b) = 0. Calculate b.
0, 1
Let m(z) be the third derivative of 1/4*z**4 + 0 + 1/30*z**5 + 4*z - z**2 + 2/3*z**3. What is a in m(a) = 0?
-2, -1
Let p(x) be the second derivative of 0*x**3 + 4*x + 0*x**2 - 1/12*x**4 + 0. Let z(k) = -8*k**2 - 28*k - 8. Let y(f) = -12*p(f) - z(f). Factor y(a).
4*(a + 1)*(5*a + 2)
Let l(r) be the second derivative of -r**6/1440 + r**5/24 + 7*r**4/32 - 2*r**3/3 + 7*r**2 + 4*r - 10. Let w(m) be the second derivative of l(m). Factor w(p).
-(p - 21)*(p + 1)/4
Let c(a) be the second derivative of -a**5/20 + 239*a**4/12 - 6832*a**3/3 - 37210*a**2 + 841*a. Solve c(u) = 0 for u.
-5, 122
Let c = 75 + 15. Let o be 4/18 + 1420/c. Factor 17*q - 16*q + 0*q**2 - q**2 - 9*q - o.
-(q + 4)**2
Let r(g) be the second derivative of -7*g**5/75 - 29*g**4/60 - 2*g**3/15 - 179*g**2/2 - 21*g - 4. Let l(m) be the first derivative of r(m). Factor l(j).
-2*(j + 2)*(14*j + 1)/5
Factor 115*b - 232 + 1/2*b**2.
(b - 2)*(b + 232)/2
Let -68*h**4 - 34*h**3 + 2700 - 101*h**3 + 31*h**4 - 1545*h + 34*h**4 - 1017*h**2 = 0. What is h?
-36, -5, 1
Let q = 652 + -650. Factor -21 + 10*z**2 - 20*z - 8*z**q - 6 + 0*z - 21.
2*(z - 12)*(z + 2)
Let g(j) = j**3 - 13*j**2 - 15*j + 18. Let p be g(14). Let s be 2 + 5 + (-9)/3. Factor l**4 - 2*l**s - p*l**3 - 8*l**2 - 3*l**2 + 7*l**2.
-l**2*(l + 2)**2
Let j(t) be the first derivative of -t**6/3 + 18*t**5/5 + 24*t**4 + 104*t**3/3 + 294. Factor j(b).
-2*b**2*(b - 13)*(b + 2)**2
Let b be (-2*43/(-2))/((-5)/(-10)). Factor 46 - 4*z**3 - b + 12*z + 48.
-4*(z - 2)*(z + 1)**2
Let r(c) be the first derivative of -49 - 1/2*c + 3/8*c**2 - 1/12*c**3. Factor r(n).
-(n - 2)*(n - 1)/4
Let r = -255 + 257. Let i(d) = d**2 + 2. Let m be i(-3). Suppose -m*v - 19*v - 85 - 3*v**r + 10 = 0. What is v?
-5
Let d(a) be the second derivative of -a**5/80 - 1885*a**4/16 - 3553225*a**3/8 - 6697829125*a**2/8 - 7829*a. Let d(b) = 0. Calculate b.
-1885
Let j be 26*40/9100*35. Determine k so that 31/9*k**2 - 5/9*k - 17/3*k**3 + k**j + 0 = 0.
0, 1/3, 5
Let r(b) = -5 - b**2 - 4 + 12 - 3. Let z(m) = -50*m**3 - 256*m**2 - 220*m - 16. Let f(j) = -4*r(j) + 2*z(j). Factor f(s).
-4*(s + 1)*(s + 4)*(25*s + 2)
Find i such that -8*i**2 - 171*i - 121 + 14*i**2 + 61*i**3 - 60*i**3 - 90*i**2 + 35 = 0.
-1, 86
Let t = 437 + -432. Suppose 3*r - t*f = 15 - 10, r - 4*f = 4. Factor 0*a - 1/2*a**2 + 2/3*a**3 + r - 1/6*a**4.
-a**2*(a - 3)*(a - 1)/6
Let g(x) be the third derivative of x**8/1008 + 79*x**7/630 + 209*x**6/45 + 361*x**5/15 + x**2 - 2068*x. Factor g(r).
r**2*(r + 3)*(r + 38)**2/3
Let r(u) = u**3 - 49*u**2 - 867*u - 4911. Let d(i) = -41*i**2 - 5 + 3 + 3 + 351*i**3 + 42*i**2 - 350*i**3. Let w(c) = 6*d(c) - 3*r(c). Factor w(f).
3*(f + 17)**3
Determine b, given that -128018 - 5/3*b**5 + 707135/3*b + 762536/3*b**2 - 108702*b**3 + 2542/3*b**4 = 0.
-1, 2/5, 3, 253
Let y = -83183 - -83185. Let -32/9*d**y + 2/9 - 10/3*d = 0. What is d?
-1, 1/16
Suppose 2754 - 30*f**3 - 54*f**4 - 409*f - 2752*f - 1132*f + 1620*f**2 + 3*f**5 = 0. Calculate f.
-6, 1, 3, 17
Let n(c) be the second derivative of -11/60*c**5 + 0*c**2 - 2/9*c**3 - 1/30*c**6 - 1/3*c**4 + 59*c + 0. Factor n(a).
-a*(a + 1)*(a + 2)*(3*a + 2)/3
Let q be 72/28 - ((-520)/48 - -11)*0. Suppose 0 - q*x**2 - 2/7*x**3 - 16/7*x = 0. Calculate x.
-8, -1, 0
Let f = -505910102/459 + 1102202. Let g = f + -4/459. Factor -g*x + 4/3*x**2 - 4/3 + 4/3*x**3.
4*(x - 1)*(x + 1)**2/3
Let q be 10/8 + (-156)/(-16) + -9. Find t such that 5*t - 324*t**2 - 77 + 329*t**q + 17 = 0.
-4, 3
Let r be 12/((23 - (20 - 3)) + (0 - 5)). Let t(g) be the second derivative of -2/3*g**3 + 0 - r*g + 0*g**2 + 1/6*g**4. Let t(j) = 0. What is j?
0, 2
Let f(h) = -4*h**4 - 62*h**3 - 40*h**2 + 18*h. Let s(t) = -t**4 - 6*t**3 - 5*t**2. Let r(i) = -2*f(i) - 12*s(i). Suppose r(m) = 0. Calculate m.
-9, -1, 0, 1/5
Let n(j) be the third derivative of 2*j**7/15 + 2*j**6/15 - 59*j**5/15 - 10*j**4 + 24*j**3 - 2*j**2 + 34. Factor n(q).
4*(q - 3)*(q + 2)**2*(7*q - 3)
Let u(d) be the third derivative of 2*d**7/105 + 7*d**6/30 + d**5/3 - 7*d**4/6 - 4*d**3 + 1878*d**2. Factor u(z).
4*(z - 1)*(z + 1)**2*(z + 6)
Let k(s) be the second derivative of s**4/78 - 66*s**3/13 + 9801*s**2/13 + s + 151. Let k(j) = 0. What is j?
99
Let f(q) be the first derivative of -2*q**5/25 + 13*q**4/10 + 58*q**3/15 + 3*q**2 + 1001. Determine g, given that f(g) = 0.
-1, 0, 15
Let a(i) = -12 - 3 + i**2 + 203*i - 184*i - 5. Let f be a(15). Determine v so that 33 - f*v**2 + 63*v + 225*v**3 - 37 + 44 - 3*v = 0.
-2/9, 2/5, 2
Solve 2/5*o**2 + 792/5 - 144/5*o = 0 for o.
6, 66
Let o(y) = 2*y**3 - 7*y**2 + 310*y - 302. Let n(i) = 5*i**3 - 14*i**2 + 618*i - 602. Let f(p) = -6*n(p) + 14*o(p). Factor f(j).
-2*(j - 14)*(j - 1)*(j + 22)
Factor 88/3 + 118/3*p**2 + 2*p**3 - 304/3*p.
2*(p - 2)*(p + 22)*(3*p - 1)/3
Let g(j) be the first derivative of j**4/44 + 104*j**3/11 + 927*j**2/22 - 2073. Factor g(y).
y*(y + 3)*(y + 309)/11
Let n be 4/(-80)*95/(-38) - 52/(-32). Factor -23/4*q**2 + 2 + n*q**3 - 11/2*q.
(q - 4)*(q + 1)*(7*q - 2)/4
Factor 348*s - 202 + 18 + 4*s**2 - 128 - 40.
4*(s - 1)*(s + 88)
Let v(n) be the third derivative of 0*n**4 + 0*n + 170*n**2 + 0*n**3 + 0 - 1/195*n**5 + 1/780*n**6. Let v(d) = 0. Calculate d.
0, 2
Let l(t) = 12*t - 34. Let u be l(8). Let g = -47 + u. Factor -g - 9*h - 29*h - 17*h + 20*h**2.
5*(h - 3)*(4*h + 1)
Let u(a) be the second derivative of -a**6/30 + 109*a**5/5 - 11881*a**4/2 + 2590058*a**3/3 - 141158161*a**2/2 - 1721*a. Suppose u(q) = 0. Calculate q.
109
Determine l, given that -3/2*l**3 - 225*l + 648 - 93/2*l**2 = 0.
-24, -9, 2
Let y = 603 + -602. Suppose -l + 5 = 2*j, -l = -5*j + l + 17. Solve j*x**3 + x + 6*x**2 + 0*x**3 - 4*x**3 - y - 5 = 0 for x.
-1, 1, 6
Let w(m) be the first derivative of -95/2*m**2 + 25/2*m + 19*m**4 + 288 + 8/5*m**5 + 107/2*m**3. Suppose w(c) = 0. What is c?
-5, 1/4
Let o(b) be the third derivative of -b**5/120 - 229*b**4/48 + 77*b**3/2 - 38*b**2 + 12*b. Solve o(t) = 0 for t.
-231, 2
Let l be (2 + 0)/((-9)/(-198)*11). Suppose -95*p**2 - 169*p**5 - 45*p**l + 24*p + 105*p**3 + 6*p - 169*p**5 + 343*p**5 = 0. What is p?
0, 1, 6
Let n be 1/(-6) + -43 + 19348/504 - (-5)/1. Solve 0*d + 32/3*d**3 - 128*d**2 - n*d**4 + 0 = 0.
0, 24
Let x(i) = -3*i**2 - i - 18. Let r(g) = -57*g**2 + g - 36 + 56*g**2 + 35. Let y(a) = -20*r(a) + 5*x(a). Factor y(v).
5*(v - 7)*(v + 2)
Let p be ((-336)/(-18))/8*3 + -2. Suppose -13 = -2*y - 5, 4*y = -p*w + 26. Let 8/5*c**w - 2*c + 4/5 - 2/5*c**3 = 0. Calculate c.
1, 2
Solve 290*j**3 + 140*j - 132*j**2 + 4*j**4 + 278*j**3 + 287*j**3 - 867*j**3 = 0.
-5, 0, 1, 7
Let w = -239/50 - -249/50. Let z(y) be the first derivative of 2/25*y**5 + 28 + 6/5*y - w*y**4 - 8/15*y**3 + 2/5*y**2. Find f such that z(f) = 0.
-1, 1, 3
Let x be 12/32 + (7474/592 - 10). Let -2/13*k + 0 + 0*k**x - 4/13*k**4 + 2/13*k**5 + 4/13*k**2 = 0. What is k?
-1, 0, 1
Let y = -567 - -567. Let z(m) be the third derivative of 3/50*m**6 + y + 0*m + 1/20*m**4 + 0*m**3 + 1/70*m**7 + 17*m**2 + 9/100*m**5. Factor z(g).
3*g*(g + 1)**2*(5*g + 2)/5
Let b(m) be the second derivative of 1/42*m**7 + 0*m**2 - 1/30*m**6 - 1 + 0*m**3 + 1/3*m**4 + 8*m - 1/5*m**5. Factor b(o).
o**2*(o - 2)*(o - 1)*(o + 2)
Let d = -2031064 + 18279589/