854/7*p**2 + 1212/7*p**3 + 111272508/7*p = 0. Calculate p.
-303
Factor -19/4*n**2 - 1/8*n**3 + 0 + 10*n.
-n*(n - 2)*(n + 40)/8
Let a(u) = -u**2 - 4*u - 2. Suppose 2*d + 24 = -4*r, r - 86 = d - 89. Let f be a(d). Factor 2/7*b**f + 0 - 2/7*b.
2*b*(b - 1)/7
Let u(h) = h**2 + 16*h + 20. Let g(j) = 15*j. Let w be g(-1). Let k be u(w). Factor -31*z**k + 0*z**2 + 0*z**2 + 34*z**5.
3*z**5
Let d(c) be the third derivative of -3*c**6/200 + 59*c**5/100 + 803*c**4/40 + 261*c**3/10 - c**2 + c - 28. Let d(w) = 0. Calculate w.
-9, -1/3, 29
Let n be 2/(-10) - (-384)/320. Let b be 1/(1272/210 + -5 - n). Factor 1/2*x**3 + 25/2 + b*x + 11/2*x**2.
(x + 1)*(x + 5)**2/2
Let n(z) = z**4 + z**3 + 2*z**2 - 2*z. Let m(d) = -7*d**4 + 122*d**3 + 1297*d**2 + 3620*d + 3060. Let k(w) = -m(w) - 4*n(w). Factor k(g).
3*(g - 51)*(g + 2)**2*(g + 5)
Let a = -3351914/9 + 372438. Let 2/9*l**3 + 28/9 - a*l**2 - 2/9*l = 0. Calculate l.
-1, 1, 14
Solve 0 - 909/7*y**2 - 93*y**3 - 270/7*y - 15/7*y**5 - 171/7*y**4 = 0.
-5, -3, -2/5, 0
Suppose 27916 = 3*r + 2*v, -21227 + 58456 = 4*r - 5*v. Factor 35*m + 22 + 9301*m**2 - r*m**2 + 18.
-5*(m - 8)*(m + 1)
Let y(x) = -x**2 + 18*x - 54. Let w be y(4). Suppose -12*q = -w*q. Factor -2/9*g**2 + q + 0*g - 8/9*g**3.
-2*g**2*(4*g + 1)/9
Let a(m) = m**2 + 8*m - 13. Let d be a(-12). Factor -37 - d*v + 0 - 5*v**2 - 23.
-5*(v + 3)*(v + 4)
Let b(q) = q**2 + 339*q + 1334. Let k(w) = -2*w**2 - 447*w - 1336. Let c(f) = -3*b(f) - 2*k(f). Factor c(r).
(r - 133)*(r + 10)
Suppose -2*w + 26*w = 96. Determine q so that -45*q**2 - 6*q**3 + 25*q**5 - 9*q**4 - 165*q**3 + 29*q**w - 24 - 148*q - 245*q**2 = 0.
-2, -1, -2/5, 3
Let z(y) be the first derivative of y**5/50 - y**4/30 - 2*y**3/15 + 16*y + 66. Let w(j) be the first derivative of z(j). Factor w(o).
2*o*(o - 2)*(o + 1)/5
Let c be ((-16)/(-6))/((-128)/(-576)) + -12. Let s(d) be the first derivative of -5/6*d**6 - 9/4*d**4 + d**2 + c*d - 13/5*d**5 + 38 + 1/3*d**3. Factor s(m).
-m*(m + 1)**3*(5*m - 2)
Let o be (-2 - (-1 + -1)) + 13651/17. Determine z so that 588 + 359*z - o*z + 360*z + 3*z**2 = 0.
14
Let c(f) be the third derivative of 0*f**3 + 1/150*f**5 - 3 + 11*f**2 + 0*f - 1/70*f**7 + 0*f**4 + 13/600*f**6. Solve c(w) = 0.
-2/15, 0, 1
Suppose -j + 4*q = j - 134, 3*j + q = 187. Let m = -4 + j. Factor m - 16*v + 2*v**3 + 4*v**4 - 12*v**2 + 6*v**3 - 43.
4*(v - 1)**2*(v + 2)**2
Let c(i) be the second derivative of -i**4/9 - 4408*i**3/9 - 2428808*i**2/3 + 1214*i - 3. Factor c(r).
-4*(r + 1102)**2/3
Let -48/7*r - 740/7*r**3 + 424/7*r**4 + 416/7*r**2 + 0 - 52/7*r**5 = 0. What is r?
0, 2/13, 1, 6
Factor -1/5*m**3 - 146/5*m**2 + 59*m - 148/5.
-(m - 1)**2*(m + 148)/5
What is i in -107*i**2 - 38*i - 37*i**2 - 28*i**2 - i**4 + 226*i**3 + 28*i - 55*i**4 + 12 = 0?
-1/4, 2/7, 1, 3
Solve -407 - 698 - 1095*b**2 + 2205*b + b**3 - 6*b**3 = 0 for b.
-221, 1
Let p(y) be the second derivative of y**5/40 + 785*y**4/24 + 1567*y**3/12 + 783*y**2/4 - 180*y + 6. Find w, given that p(w) = 0.
-783, -1
Let l = -472263 + 2361327/5. Factor -l*t - 14/5 + 2/5*t**2.
2*(t - 7)*(t + 1)/5
Let b(f) be the first derivative of -1/16*f**4 - 5*f**2 - 1/40*f**5 + 0*f + 1/2*f**3 - 18. Let l(x) be the second derivative of b(x). Factor l(d).
-3*(d - 1)*(d + 2)/2
Let r(x) be the second derivative of -x**7/126 - 167*x**6/180 + 433*x**5/120 + 125*x**4/36 - 173*x**3/9 - 86*x**2/3 + 235*x. Let r(h) = 0. What is h?
-86, -1, -1/2, 2
Suppose -5*m + 34 = 5*y - 31, -4*y + m = -67. Find q, given that 2*q**2 - y*q - q**2 - 162 + 319 - 157 = 0.
0, 16
Let i = 369 + -366. Suppose -2*x = i*x - 4*n - 1301, -4*n + 787 = 3*x. Factor 1081/10*s**3 - 108/5 - x*s**2 + 702/5*s - 84/5*s**4 + 9/10*s**5.
(s - 6)**3*(3*s - 1)**2/10
Let t(y) = -y**3 - 2*y**2 + 9*y + 20. Let h be t(-2). Let 60*x - 30*x**2 - 22*x**h - 6 + 57*x**2 - 59 = 0. What is x?
-13, 1
Let b(k) be the third derivative of 19/60*k**4 + 0 - 1/75*k**5 - 3/5*k**3 + 8*k - k**2. Factor b(r).
-2*(r - 9)*(2*r - 1)/5
Let 30*c + 36*c**2 + 254*c - 40*c**2 - 552 = 0. What is c?
2, 69
Let b be 11/((-385)/(-938))*5. Factor -112*r**3 + 517*r**3 - 186 - 5020*r**2 - 2860*r - 1280*r**2 - b.
5*(r - 16)*(9*r + 2)**2
Factor l**4 + 0 - 13/4*l**3 + 12*l + 1/4*l**5 - 10*l**2.
l*(l - 3)*(l - 1)*(l + 4)**2/4
Let t be 7 - (2 + 0) - 250/(-40). Let c = 549 + -4371/8. Let 3 + t*v**2 - c*v**3 - 27/2*v = 0. Calculate v.
2/7, 2
Let v = -319504 - -319506. Factor 15*t - 3/2*t**3 + 0 + 27/2*t**v.
-3*t*(t - 10)*(t + 1)/2
Let d(j) = -382*j + 1528. Let w be d(4). Let t(s) be the third derivative of 0 + w*s + 0*s**4 - 17*s**2 + 0*s**3 - 1/140*s**5. Factor t(z).
-3*z**2/7
Let x(k) be the second derivative of -k**5/40 - k**4/16 + k**3/12 - 590*k - 2. Suppose x(v) = 0. Calculate v.
-2, 0, 1/2
Let m(y) = 7*y + 111. Let s be m(-16). Let t be 3 - s*15/78*-6. Find n such that -2/13 + 128/13*n**3 - 96/13*n**2 + t*n = 0.
1/4
Let p(z) = -z. Let f(d) = 4*d**2 - 34*d - 184 + 184. Let a(q) = -f(q) - 10*p(q). Solve a(g) = 0 for g.
0, 11
Suppose 4*l = 5 - 9, -g + l = -5. Factor -26*s**4 + 17*s**4 - s**3 + 8*s**g.
-s**3*(s + 1)
Factor 109*w**2 + 32*w**3 + 1111*w + 49 - 547*w - 17*w**2 - 1 - 452*w + 4*w**4.
4*(w + 1)*(w + 2)**2*(w + 3)
Suppose 13*x - 12*x - l - 478 = 0, 0 = -5*x - 2*l + 2362. Solve -2 - 1 - 483*r + x*r - 3*r**2 - 3 = 0.
-2, -1
Let z = -17816/19 - -938. Suppose 24 = 4*u, 0 = 3*h + 1033*u - 1037*u + 24. Factor -z*o - 2/19*o**3 + h + 8/19*o**2.
-2*o*(o - 3)*(o - 1)/19
Let r(b) be the third derivative of b**5/20 + 475*b**4/72 - 53*b**3/9 - 1065*b**2. Find s, given that r(s) = 0.
-53, 2/9
Let 1984*j - 110*j**2 - 39*j**3 - 3923 + 41*j**3 - 7853 = 0. Calculate j.
16, 23
Factor -3*o**3 + 3564 - 121*o**2 + 4*o**3 - 6264 - 1055*o + 23*o**2.
(o - 108)*(o + 5)**2
Let o(l) be the second derivative of -22*l + 1/16*l**4 + 147/8*l**2 + 7/4*l**3 + 0. Factor o(k).
3*(k + 7)**2/4
Let f be (-75)/30 - 99/(-154)*7. Factor 23/5*t + 10 - 1/5*t**f.
-(t - 25)*(t + 2)/5
Find p such that 33/4*p**4 - 1515/2*p**3 + 10885233/4 + 772179/4*p + 3/4*p**5 - 19209/2*p**2 = 0.
-19, 23
Let n(w) be the third derivative of -16/9*w**3 - 17/90*w**5 + 136*w**2 - 1/90*w**6 - 10/9*w**4 + 0*w + 0. Factor n(o).
-2*(o + 4)**2*(2*o + 1)/3
Let h be ((-14)/(-28))/(((-536)/64 + 8)/(-36)). Factor 18 + 15/2*i**2 - h*i.
3*(i - 6)*(5*i - 2)/2
Let d(q) be the first derivative of -1/120*q**6 + 10 + 0*q + 1/20*q**5 + 3/8*q**4 - 6*q**3 + 0*q**2. Let y(a) be the third derivative of d(a). Factor y(t).
-3*(t - 3)*(t + 1)
Let m = 1235487/2 + -617652. Factor -270*y + m*y**2 + 150 + 3/2*y**4 + 27*y**3.
3*(y - 1)**2*(y + 10)**2/2
Factor -3*s**3 + 7*s**2 + 0*s - 1/4*s**4 + 0.
-s**2*(s - 2)*(s + 14)/4
Let p(y) be the third derivative of -y**8/6720 + y**7/1680 + y**6/12 + 173*y**5/60 + 9*y**2 - 2*y. Let d(h) be the third derivative of p(h). Factor d(x).
-3*(x - 5)*(x + 4)
Let v be 10/(-4)*((-286)/2860)/(4 - 3). Factor -196*x**2 - 13/2*x**4 + 2401/2 - v*x**5 - 119/2*x**3 + 343/4*x.
-(x - 2)*(x + 7)**4/4
Let z be 35/(-15) + (-3 + 2)*(3 - 6). Let c(m) be the first derivative of z*m + 13/6*m**2 + 25/9*m**3 - 9 + 7/6*m**4. What is i in c(i) = 0?
-1, -1/2, -2/7
Suppose -286 = 2*v - 292. Factor j**4 + 11*j**4 + 66*j**2 + 8 - 40*j - 13*j**4 + 10*j**4 + j**4 - 44*j**v.
2*(j - 2)*(j - 1)**2*(5*j - 2)
Let o(n) = -9*n**2 - 435*n + 168. Let f(a) = 3*a**2 - 205 + 170 + 87*a - a**2. Let u(p) = -24*f(p) - 5*o(p). Factor u(l).
-3*l*(l - 29)
Determine s, given that -2394/5*s + 92/5 + 3120*s**2 - 338/5*s**3 = 0.
1/13, 46
Let q = 9/376 + 2811/376. Factor -q*j**2 + 0 - 5/2*j**3 + 10*j.
-5*j*(j - 1)*(j + 4)/2
Let 20790*u**3 - 12*u**5 + 14*u**5 - 105664*u - 31940*u**2 - 3266*u**2 - 10126*u**2 + 412*u**4 + 129792 = 0. What is u?
-104, -2, 1, 3
Let i(x) = x**4 - x**5 - 2*x**4 + 65*x + 2*x**5 + 1 - 64*x. Let f(j) = j**5 - 11*j**4 - 30*j**3 - 46*j**2 - 31*j - 7. Let r(g) = 3*f(g) - 6*i(g). Factor r(v).
-3*(v + 1)**3*(v + 3)**2
Let d(g) = g + 34. Let u(y) = -2*y**3 - y**2 + 2*y - 2. Let l be u(2). Let j be d(l). Find x, given that x**2 + 30 - 13 - j - 2*x = 0.
1
What is c in 2859/4*c - 3/8*c**2 - 2724627/8 = 0?
953
Let c = -818095/194 + 4217. Let k = c - -6969/970. Let -k - 1/5*d**2 - 12/5*d = 0. What is d?
-6
Let t(m) be the second derivative of -m**6/90 + 13*m**5/60 - 17*m**4/18 - 8*m**3/3 + 12443*m. Suppose t(k) = 0. What is k?
-1, 0, 6, 8
Suppos