(z) = 3343221*z**2 - 33486*z - 66. Let o(g) = 15*p(g) - 2*t(g). Factor o(u).
3*(399*u - 2)**2
Let m(a) be the second derivative of a**4/48 + 125*a**3/8 + 373*a**2/4 + 1559*a. Suppose m(n) = 0. What is n?
-373, -2
Suppose 4348 = -8*p + 12*p. Let k = -4347/4 + p. Suppose 0*y**2 - 1/8*y**3 - 1/8*y**5 - k*y**4 + 0 + 0*y = 0. Calculate y.
-1, 0
Let v(o) be the first derivative of 5*o**5/6 + 10*o**4/3 - 38*o**3/9 + 4*o**2/3 + 916. Let v(n) = 0. What is n?
-4, 0, 2/5
Let t(z) = -z + 15. Let m be t(13). Let s be (m + -2)/1*(31 - 32). Find k, given that s - 2/9*k**2 + 0*k = 0.
0
Suppose 0 = -38*z + 234 - 82. Suppose -34*v + 38*v - 8 = 0. Factor -4*l**v - 25/11*l**z + 8/11*l + 70/11*l**3 + 0.
-l*(l - 2)*(5*l - 2)**2/11
Let t(f) = f**3 - 10*f**2 - 7*f + 17. Let d be t(11). Factor 4*b**2 - 4 - d*b - 6*b**2 + 67*b.
-2*(b - 2)*(b - 1)
Let a(w) be the second derivative of -w**6/6 + 265*w**5/2 - 116155*w**4/4 - 352450*w**3/3 - 176890*w**2 - 7*w - 6. Factor a(z).
-5*(z - 266)**2*(z + 1)**2
Let j(q) = -3*q**2 - 25*q - 6. Let x be j(-8). Factor 25*h**3 + 4 - 25*h**2 - h - h - x*h.
(h - 1)*(5*h - 2)*(5*h + 2)
Let q be (-9 - 1)*(66/12 - 6). Factor 70 + 298*h - 4*h**5 - 70*h**3 - 23*h + 320*h**3 + 50*h**4 + 400*h**2 - h**q.
-5*(h - 14)*(h + 1)**4
Let x(g) be the first derivative of g**6/8 + 54*g**5 + 49137*g**4/8 + 16110*g**3 + 96123*g**2/8 - 851. Let x(t) = 0. What is t?
-179, -1, 0
Let l(d) be the third derivative of -d**6/280 + 83*d**5/28 + 209*d**4/7 + 838*d**3/7 - 2*d**2 + d + 201. Let l(j) = 0. What is j?
-2, 419
Let r(d) = d**3 - 11*d**2 - 13*d + 30. Let v be r(12). Factor -75*j + 108*j**3 - 147*j**2 - 57*j**2 - 2 + 43*j + v.
4*(j - 2)*(3*j + 1)*(9*j - 2)
Factor -90*f**4 - 72*f**2 - 1001680*f**3 + 1001533*f**3 - 3*f**5 + 12*f**4.
-3*f**2*(f + 1)**2*(f + 24)
Let y be (-4 - (-292)/64)*2. Let k = -14073/4 + 3519. Solve -k*r - 3/8*r**3 + 0 - y*r**2 = 0 for r.
-2, -1, 0
Let k(l) be the second derivative of l**7/84 - 11*l**6/30 + 59*l**5/40 - 19*l**4/12 + 1542*l. Find o, given that k(o) = 0.
0, 1, 2, 19
Suppose -45 = 11*f - 20*f. Let v be (f + 3/(-9))*(-64)/(-56). Determine l so that -2/3*l**2 + 0 + 5*l**3 + 0*l - v*l**5 - 8*l**4 = 0.
-2, 0, 1/4
Suppose -7*w + 149 - 233 = 0. Let k(a) = -a**4 + a**3 + a**2 + a - 3. Let z(y) = -4*y**4 + 17*y**3 - 9*y**2 - 11*y + 4. Let v(x) = w*k(x) + 4*z(x). Factor v(j).
-4*(j - 13)*(j - 1)**2*(j + 1)
Let q be (-2 + 3 - 1)/2 + 11. Find w such that -34*w**2 + 44*w**4 - q*w**2 + 30*w**3 - 49*w**4 = 0.
0, 3
Let a = 6119 - 6116. Let f(w) be the second derivative of -1/300*w**6 + 0*w**2 - 13*w - 16/15*w**a - 2/5*w**4 + 0 - 3/50*w**5. Factor f(h).
-h*(h + 4)**3/10
Suppose -2*u + 5*i + 81 = 0, 4*i = -2*u + 2*i + 102. Factor -69*h**2 - 46*h**3 - 12 + u + 55*h**3 + 84*h.
3*(h - 6)*(h - 2)*(3*h + 1)
Let o be (-4108)/(-13035) - 12/90. Factor -2/11*g**4 + 2/11*g**2 + o*g**3 + 0*g + 0 - 2/11*g**5.
-2*g**2*(g - 1)*(g + 1)**2/11
Let w(c) be the third derivative of c**8/1176 - 17*c**7/735 + 47*c**6/210 - 37*c**5/35 + 75*c**4/28 - 27*c**3/7 + 23*c**2 + 22. What is i in w(i) = 0?
1, 3, 9
Let -819*f**3 - 795*f + 49*f**3 + 1520*f**5 - 200 - 180*f**4 - 1180*f**2 - 1515*f**5 = 0. Calculate f.
-1, 40
Let p(l) be the third derivative of l**5/240 + 91*l**4/48 + 8281*l**3/24 - 3485*l**2. What is q in p(q) = 0?
-91
Let f(n) be the first derivative of -n**5/30 - n**4/6 + n**3 - 5*n**2/3 + 7*n/6 - 2561. Determine p, given that f(p) = 0.
-7, 1
Find d, given that -1/4*d**2 - 5*d + 9/4*d**3 - 1/4*d**5 - 3 + 1/4*d**4 = 0.
-2, -1, 2, 3
Let k(c) = -2*c - 12. Let u = -61 + 54. Let o be k(u). Solve 12*i + 34*i**o + 134*i**3 - 207*i**4 - 4 - 36*i + 81*i**5 - 19*i**2 + 5*i**3 = 0.
-2/9, 1
Let p = -371 - -370. Let j be 11/30 + (13/78)/p. Factor 9/10*o - 1/5*o**2 + j - 9/10*o**3.
-(o - 1)*(o + 1)*(9*o + 2)/10
Factor -11821807*k**2 - 515*k + 4*k**4 + 324 - 80*k**3 + 11822279*k**2 - 205*k.
4*(k - 9)**2*(k - 1)**2
Suppose 10*q + 9*q = 304. Let c be (-3)/(((-2040)/q)/17). Let -c*i**2 + 4/5*i + 0 = 0. What is i?
0, 2
Let b be (-27 - 5 - -32)/29. Find t such that -8/9*t**3 + 26/9*t**4 - 8/9*t**2 + 0 + b*t - 10/9*t**5 = 0.
-2/5, 0, 1, 2
Suppose 3*m + 5*o + 0*o + 2 = 0, 4*m = -3*o + 1. Suppose -2*a + m = v, -v + a = 6*a + 2. Factor 2 + 89*n**v + 31*n**3 + 41*n**2 + 25*n + 57*n**2.
(4*n + 1)*(5*n + 2)*(6*n + 1)
Let u(y) be the first derivative of -y**3/15 - 149*y**2/2 - 1315. Let u(g) = 0. Calculate g.
-745, 0
Let q(n) = 29*n**3 - 8. Let x be q(-4). Let z = x - -9328/5. Factor 6/5 + z*b**2 - 26/5*b.
2*(b - 3)*(4*b - 1)/5
Let c = 312 + -310. Suppose 165 = -c*f + 171. Suppose 2/7*u**f - 2/7 + 2/7*u**2 - 2/7*u = 0. What is u?
-1, 1
Factor -744/5 + 52*q - 4/5*q**2.
-4*(q - 62)*(q - 3)/5
Suppose -3*l = a - 41, -11869*a + 11874*a + 55 = 5*l. Suppose -38/15*t**2 - a*t + 8/15 = 0. Calculate t.
-1, 4/19
Let t be (-43251)/(-390) - (-7)/((-140)/8). Solve t*z**3 + 25/2*z + 0 - 185/2*z**2 + 3*z**5 - 67/2*z**4 = 0.
0, 1/6, 1, 5
Let x(l) = -2*l**3 - 87*l**2 - 153*l - 83. Let c(r) = -r**3 + 14 - 13*r**2 + 2*r**3 - 17*r + 27 + 56*r**2 + 94*r. Let b(a) = -5*c(a) - 2*x(a). Factor b(z).
-(z + 1)**2*(z + 39)
Factor 2*p**4 + 27*p**2 - 14*p**4 + 76*p**2 + 3*p + 18*p**3 + 3*p**5 + 0*p**5 - 115*p**2.
3*p*(p - 1)**4
Suppose -10945 = -41*j + 1847. Let d be (-10)/(-8) - j/(-288). What is a in d*a + 2/3 + 5/3*a**2 = 0?
-1, -2/5
Let o(t) = -156*t + 1407. Let v be o(9). Let w(h) be the first derivative of -15/2*h**2 + 12*h + h**v - 20. Factor w(f).
3*(f - 4)*(f - 1)
Let 23952/5*s**3 - 6/5*s**4 + 23856287808/5*s - 5952143808096/5 - 35856144/5*s**2 = 0. Calculate s.
998
Let k(q) be the third derivative of -q**7/840 + q**6/240 + q**5/240 - q**4/48 - q**2 + 27*q + 16. Factor k(b).
-b*(b - 2)*(b - 1)*(b + 1)/4
Let o(f) be the second derivative of f**6/10 - 177*f**5/20 - 78*f**4 - 254*f**3 - 384*f**2 + 5265*f. Factor o(k).
3*(k - 64)*(k + 1)*(k + 2)**2
Let t be ((-204)/(-918) - 3/36*4)*-2. Factor 0 + 2/9*s**2 + t*s.
2*s*(s + 1)/9
Let w(q) = -q**3 - q**2 - 7*q - 117. Let g be w(0). Let r be g/(-36) - 5/4. Find s, given that 0 + 1/4*s**3 + 3/4*s**r + 0*s = 0.
-3, 0
Determine h, given that 1138*h**2 + 18 + 276*h - 968/3*h**4 + 1672/3*h**3 = 0.
-1, -3/22, 3
Let m be 4752/1408*84/9. Find i such that 0*i + 0 - 49/2*i**2 + 1/2*i**5 - 15/2*i**4 + m*i**3 = 0.
0, 1, 7
Let c = 2933 - 4383. Let z = 1450 + c. Factor z + 2/7*k**2 + 12/7*k.
2*k*(k + 6)/7
Let k(p) be the third derivative of 15 + 3/10*p**5 + 0*p - p**3 - 11/24*p**4 + 2/15*p**6 - 5/336*p**8 - 2/35*p**7 + 2*p**2. What is v in k(v) = 0?
-3, -1, -2/5, 1
Let q(t) be the third derivative of -1/340*t**6 + 1/68*t**4 + 1/1785*t**7 - 2/51*t**3 - 2*t**2 + 0*t - 41 + 1/510*t**5. Suppose q(n) = 0. What is n?
-1, 1, 2
Let b(u) = 4*u - 7. Let l be b(2). Let c = 5 - l. Find s such that -39*s**2 + 4*s + c*s**3 + 2*s + 24 - 2*s + 23*s**2 = 0.
-1, 2, 3
Let j = -19 - -21. Determine z, given that 2*z - 7*z**j + 5*z**2 - 14*z + 0*z**2 = 0.
-6, 0
Factor 3202*q - 625*q**2 + 925*q + 15*q**3 - 3907*q + 2890*q - 1800.
5*(q - 36)*(q - 5)*(3*q - 2)
Let d(k) be the third derivative of 0*k**3 + 117*k**2 + 0*k + 0*k**4 + 0 - 1/135*k**5 + 19/1080*k**6 + 1/378*k**7. Let d(p) = 0. Calculate p.
-4, 0, 1/5
Let u(y) be the first derivative of 0*y**2 + 1/210*y**5 + 23 + 0*y**4 + 0*y + 20/3*y**3 - 1/1260*y**6. Let x(r) be the third derivative of u(r). Factor x(t).
-2*t*(t - 2)/7
Suppose -4*b**3 - 2815*b - 274*b**2 - 1144157 + 1137057 + 5*b**3 = 0. What is b?
-5, 284
Let s(h) be the third derivative of h**6/1200 + 7*h**5/300 + 31*h**4/240 - 21*h**3/10 - 206*h**2. Factor s(m).
(m - 2)*(m + 7)*(m + 9)/10
Let i(x) = -1. Let l be 69/6 - 2/4. Suppose l*p - 3 = 14*p. Let s(f) = f**3 + 2. Let r(z) = p*s(z) - 2*i(z). Solve r(q) = 0 for q.
0
Let q = 1404596/9 + -156066. Let 32/9*c**2 - q*c**3 + 2/9*c - 32/9 = 0. What is c?
-1, 1, 16
Determine q, given that -33/2*q**2 + 1/6*q**3 + 0 - 50/3*q = 0.
-1, 0, 100
Let a(q) = q**4 - q**3 + q - 1. Let s(x) = -24 - 26*x**3 + 27*x - x**3 + 47*x**4 - 41*x**4 + 2*x**2 + 16*x**2. Let m(l) = -3*a(l) + s(l). Factor m(c).
3*(c - 7)*(c - 1)**2*(c + 1)
Let y(u) be the third derivative of 5*u**8/672 + u**7/140 - 7*u**6/120 - u**5/12 + 3*u**4/16 + 7*u**3/12 - 4*u**2 - 90*u - 2. Suppose y(n) = 0. What is n?
-1, 1, 7/5
Let q(f) be the third derivative of 0*f**3 - 1/945*f**7 + 0 - 4/27