d**2 - 1/270*d**5 + 0*d. Factor t(x).
-2*(x - 1)*(x + 5)/9
Let b(v) = -3*v**2 - 8*v. Let u be b(-7). Let p = u + 95. Factor 1/2*k**2 - 1/2*k**p + 0*k**3 + 0*k + 0.
-k**2*(k - 1)*(k + 1)/2
Let z be 22/(-99) + 205/(-9). Let b = z - -25. Factor -3*n**4 + 12*n**2 - 4*n**2 - 4*n**2 + b*n**4.
-n**2*(n - 2)*(n + 2)
Let a(p) be the second derivative of 8/5*p**5 - 2/21*p**7 + 32*p**4 - 16/15*p**6 + 92*p - 96*p**3 + 0*p**2 + 0. Factor a(x).
-4*x*(x - 2)**2*(x + 6)**2
Suppose 16 - 81 = -5*x - 5*j, -3*j = -4*x + 45. Let g be (-10 + 380/30)/x. Factor g*w**3 + 0 + 4/9*w**2 + 0*w - 10/3*w**4.
-2*w**2*(3*w + 1)*(5*w - 2)/9
Suppose -157*a = -37*a - 58*a - 186. Determine q so that 18/5 - 3*q**2 - 3/5*q**4 + 3*q**3 - a*q = 0.
-1, 1, 2, 3
Factor 227*a - 75*a - 3324 - 285 + 2*a + 1040*a + 3*a**2.
3*(a - 3)*(a + 401)
Let m(f) be the third derivative of f**6/30 + 304*f**5/15 + 11242*f**4/3 - 189728*f**3/3 + 2*f**2 + 3. Factor m(d).
4*(d - 4)*(d + 154)**2
Let z = -116867 - -233737/2. Factor -1 - 1/2*t**3 - 1/2*t**4 + z*t**2 + 1/2*t.
-(t - 1)**2*(t + 1)*(t + 2)/2
Let 904/7*m + 1816/7 - 2/7*m**2 = 0. Calculate m.
-2, 454
Let l(d) = -d**3 - 53*d**2 - 208*d - 580. Let p be l(-49). Let r(o) be the first derivative of p - 45/2*o**2 + 25/3*o**3 - 10*o. Factor r(x).
5*(x - 2)*(5*x + 1)
Let w(n) = -3*n**3 + n. Let v be w(-1). Let a be 94/21 + -7 + 3 + (-2)/(-3). Factor 4/7*i**v + 4/7 - a*i.
4*(i - 1)**2/7
Suppose -2*x - 5*j + 6 - 17 = 0, -3*x = 2*j. Let g = -626 + 4384/7. Let 0*d + 0*d**3 - g*d**4 + 0 + 2/7*d**x = 0. Calculate d.
-1, 0, 1
Let o(n) be the second derivative of n**3 - 1/42*n**4 - 2*n + 0*n**2 - 13. Determine l so that o(l) = 0.
0, 21
Suppose 4*z + 5*i = 527, -2*z = -5*i + 119 - 390. Factor -105 - 2*l**4 - z*l**2 - 146*l - 60*l**3 - 77*l**2 - 3*l**4 - 114*l.
-5*(l + 1)**2*(l + 3)*(l + 7)
Let l(n) be the first derivative of 0*n - 42/5*n**2 - 71 - 1/5*n**3. Determine p, given that l(p) = 0.
-28, 0
Let k(f) = f**3 - 14*f**2 - 15*f + 15. Let m(t) = -6*t + 9. Let z be m(-1). Let i be k(z). Factor 5*w**2 - 57*w**4 - 11*w**2 + i*w**3 + 45*w**4 + 3*w**5.
3*w**2*(w - 2)*(w - 1)**2
Let z = -7436 + 7438. Let j(m) be the second derivative of 1/54*m**4 - 18*m + 0 + 0*m**3 + 0*m**z. Determine i so that j(i) = 0.
0
Let u(j) be the second derivative of 2*j**7/21 + 12*j**6/5 + 108*j**5/5 + 72*j**4 + 4375*j. Factor u(l).
4*l**2*(l + 6)**3
Let d(p) be the third derivative of -14/3*p**4 + 1/30*p**5 + 784/3*p**3 - 16 + 0*p + 4*p**2. Factor d(a).
2*(a - 28)**2
Let t(m) be the third derivative of 29*m**2 + 0 + 0*m**3 + m + 1/210*m**7 + 1/672*m**8 + 0*m**4 - 1/60*m**5 - 1/240*m**6. Find w, given that t(w) = 0.
-2, -1, 0, 1
Let v(x) be the first derivative of -x**5/30 - 3*x**4/4 - 23*x**3/6 + 32*x**2/3 + 30*x + 373. What is u in v(u) = 0?
-10, -9, -1, 2
Let g = 31376/33 - 219533/231. Let 0 + 0*j + 12/7*j**3 - 12/7*j**2 - g*j**4 = 0. What is j?
0, 2
Let a = -256 + 380. Let v be (a/24 - -2) + (-1)/2. Factor -v*n**2 - 8/9*n + 64/9*n**4 + 0 - 32/3*n**3.
4*n*(n - 2)*(4*n + 1)**2/9
Let l(b) be the first derivative of -b**4/30 + 26*b**3/45 - 4*b**2/5 - 24*b + 921. Determine h so that l(h) = 0.
-3, 6, 10
Determine o, given that -2/3*o**5 - 1060/3*o**2 - 138 - 62/3*o**4 - 412/3*o**3 - 374*o = 0.
-23, -3, -1
Let q = 159484/45 + -17716/5. Solve -7/9*b + 16/9*b**3 - q*b**2 - 1/9 = 0.
-1/4, 1
Let b(s) be the third derivative of s**7/168 - 13*s**6/24 - 7*s**3/3 - 22*s**2. Let o(i) be the first derivative of b(i). Factor o(x).
5*x**2*(x - 39)
Let o(s) = -2*s**2 - 31*s - 10. Let u be o(-15). Factor -3*j**3 - 5*j + 0 - 32*j**2 + 17*j**2 + u*j**4 + 8*j**3 + 10.
5*(j - 1)**2*(j + 1)*(j + 2)
Find n, given that 229*n**2 + 2206984 - 8*n**3 + 301*n**2 - 308776 + 4*n**3 - 73008*n + 406*n**2 = 0.
78
Let u(d) be the first derivative of -9*d**4 + 76/3*d**3 + 4*d + 9 - 22*d**2. Suppose u(a) = 0. Calculate a.
1/9, 1
Suppose 388 - 384 = a. Let p(h) be the second derivative of 1/135*h**6 - 1/27*h**a + 1/9*h**2 + 0*h**3 + 0 + 18*h + 0*h**5. Find q, given that p(q) = 0.
-1, 1
Let i(a) = -7*a**3 - 119*a**2 + 125*a + 217. Let u(r) = -6*r**3 - 120*r**2 + 126*r + 224. Let n(b) = 4*i(b) - 5*u(b). Suppose n(s) = 0. What is s?
-63, -1, 2
Factor 0 + 2*u**2 - 120*u**3 + 480*u - 1/2*u**4.
-u*(u - 2)*(u + 2)*(u + 240)/2
Suppose 5*m - 34 = -q, 5*m - 40 = 7*q - 2*q. Let g be (27/m)/(-3) + 3. Let 0 - g*a**3 + 4/7*a**5 + 16/7*a + 8/7*a**4 - 16/7*a**2 = 0. What is a?
-2, 0, 1
Let z(a) = -2*a - 2. Let p be z(-2). Factor -60*i**p - 12*i**3 - 1 + 56*i**2 + 4*i**4 + 1 + 8*i + 4*i**5.
4*i*(i - 1)**2*(i + 1)*(i + 2)
Let k(h) = h**2 - 21*h + 40. Let g be k(23). Factor 67*m**2 - 3*m**3 - g*m**2 - 26*m**2.
-3*m**2*(m + 15)
Factor 34*k**3 + 2 + 126*k - 2 + 40687*k**4 - 162*k**2 - 40685*k**4.
2*k*(k - 3)*(k - 1)*(k + 21)
Let r be 15 + -17 - (-2 - 0 - 2). Suppose -5808 - 86*x - 12*x - x**2 - 166*x - r*x**2 = 0. Calculate x.
-44
Suppose 0 = 41*l - 42*l - 5*k - 18, -l - 4 = -2*k. Let i be l/54*-36 - (5 + -1). Solve -2 - i*j + 2/3*j**2 = 0.
-1, 3
Factor 5432*u**3 - 101931 - 4620*u + 13833*u**2 + 5*u**4 - 812*u**3 - 965289 + 1053382*u**2.
5*(u - 1)*(u + 1)*(u + 462)**2
Suppose 4*n = n + 5934. Let o be ((-18)/(-99) + n/11)*5. Factor -1249*c**4 + 100*c**3 + 1244*c**4 - 590*c**2 - 74 - 331 + o*c.
-5*(c - 9)**2*(c - 1)**2
Let v be 4/26 + (-369)/117. Let q be 4*2*v*(-11)/132. Factor 4/3*n**2 - 1/3*n**5 - q*n**3 + 4/3*n**4 + 0 - 1/3*n.
-n*(n - 1)**4/3
Factor -204 + 86*i**2 - 204*i + 89*i**2 + 165 + 455 - 177*i**2.
-2*(i - 2)*(i + 104)
Let q be 2796/(-27727)*408/(-18). Let 1/7*o**4 - 8/7*o**3 - 3/7*o**2 + q + 22/7*o = 0. What is o?
-1, 2, 8
Let j(c) = -c**2 + 13*c + 32. Let w be j(15). Determine v so that -7*v**w - 1 + v**2 - 8*v**4 - 4*v - 4*v**3 + 7*v**4 + 0*v**2 = 0.
-1
Let v = 476352 - 2381752/5. Factor -2/5*f**2 + v + 4/5*f - 1/5*f**3.
-(f - 2)*(f + 2)**2/5
Let j(b) = b**5 - 30*b**4 - 310*b**3 - 700*b**2 + 5045*b + 20578. Let w(v) = -v**5 - v**4 - 4*v**3 + v + 1. Let h(t) = -3*j(t) - 6*w(t). Solve h(o) = 0.
-15, -7, 4
Let b(f) be the second derivative of -f**4/48 + f**3/2 - 35*f**2/8 + 274*f - 1. Solve b(j) = 0.
5, 7
Let s(o) be the first derivative of -2*o**6/15 + 6*o**5/5 - 5*o**4/3 - 183*o + 260. Let m(w) be the first derivative of s(w). What is x in m(x) = 0?
0, 1, 5
Let d(q) = -82*q + 3614. Let g be d(44). Let a(r) be the second derivative of 2/3*r**3 + 2/75*r**g - 1/25*r**5 - 8*r - 4/5*r**2 - 1/5*r**4 + 0. Factor a(j).
4*(j - 1)**3*(j + 2)/5
Find q, given that 1895206 + 9580*q + 2*q**2 + 5376756 + 3150451 - 765279 + 1814916 = 0.
-2395
Let f(x) be the second derivative of -x**4/6 - 37*x**3/3 + 414*x**2 - 1336*x. Find c, given that f(c) = 0.
-46, 9
Suppose 0 = -5*p + 206 - 31. Let s be -2 - -1 - (-2 + p/49). Let -12/7*i**2 - 8/7*i**3 - 8/7*i - s*i**4 - 2/7 = 0. Calculate i.
-1
Let v = 10692 + -10690. Suppose 0*j + 0 + 2/5*j**5 + 4/5*j**v + 8/5*j**4 + 2*j**3 = 0. Calculate j.
-2, -1, 0
Let g(z) be the second derivative of z**4/108 - 107*z**3/9 + 11449*z**2/2 + 2*z + 52. Find y, given that g(y) = 0.
321
Let i(d) be the second derivative of -d**6/15 - 23*d**5/5 - 94*d**4 - 616*d**3/3 + 3872*d**2 - 6*d - 2. Solve i(m) = 0 for m.
-22, -4, 2
Let b be (((-1)/(-45))/(126/210))/(16/5520) - 11. Determine t, given that b*t + 38/9*t**2 + 0 = 0.
-8/19, 0
Let h be ((-108)/(-144))/((-22)/(-16) - 1). Factor -10*g**2 - 11*g**h - 72 + 168*g - 114*g**2 + 37*g**2.
-2*(7*g - 6)**2
Let x be ((-8)/(-12) - 1)*-1. Suppose 82*k - 7*k = -4*k - 54*k. Factor 2/3*s**2 + k + x*s**3 + 0*s.
s**2*(s + 2)/3
Suppose 3*v = -4*y + 28 + 1, 4*v = -y + 17. Let r(j) be the first derivative of 7/6*j**v - 3*j - 19/4*j**2 - 40. Factor r(k).
(k - 3)*(7*k + 2)/2
Let n(f) be the second derivative of 5/16*f**4 - 1 + 0*f**3 + 3*f + 0*f**2 - 1/40*f**6 + 3/20*f**5. Let n(o) = 0. Calculate o.
-1, 0, 5
Let v(k) = 5*k - 64. Let c be v(20). Solve 145*x**4 - 10*x - 94*x**5 - 9*x**2 - 36*x**2 + 15*x**3 - c*x**5 + 25*x**5 = 0 for x.
-1/3, -2/7, 0, 1
Let o be (5 - 3)/(-21 + 27). Let l(z) be the first derivative of 0*z - o*z**4 - 1/15*z**5 + 18 - 5/9*z**3 - 1/3*z**2. Suppose l(q) = 0. Calculate q.
-2, -1, 0
Let o(h) = h**3 + 33*h**2 - 4142*h + 664. Let l be o(-83). Let -1/3*q**2 + 3*q + l = 0. What is q?
0, 9
Let p = 142 + -137. Suppose 5*y**2 + 84*y - 25*y**5 - 88*y**3 + 2*y**2 + 11*y**p - 44 + 36*y**4 