q be 1865/(-50) + 43 + 3*-2 + 1061214/20. What is o in -686/5*o**3 - 14994/5*o**2 - q - 109242/5*o = 0?
-51/7
Let h be ((-42)/21 - 2) + (-2)/(-2) + 3. Let t(k) be the third derivative of -1/12*k**5 + 0 + h*k - 3*k**2 + 25/6*k**3 - 5/6*k**4. Let t(y) = 0. Calculate y.
-5, 1
Let i = -3/52801 - -26770122/264005. Factor 91/5*l + 1/5*l**3 + 23/5*l**2 - i.
(l - 3)*(l + 13)**2/5
Let j = 548 - 566. Let w be j/(-5) + 4/(-10). Factor -20*v - 24/5 - 12/5*v**2 + w*v**3.
4*(v - 3)*(v + 2)*(4*v + 1)/5
Let l = 50 - 44. Let -l + k**2 - 13*k + 14 + 3*k + 4 + k**2 = 0. What is k?
2, 3
Factor 156 + 21/2*h**2 + 279*h.
3*(h + 26)*(7*h + 4)/2
Determine t, given that 9*t + 13*t**2 - 31*t**2 - 21660*t**3 + 21663*t**3 + 30 = 0.
-1, 2, 5
Let u be -1 + ((-8)/(-3))/((-8)/(-144)). Factor -u*t + t**2 - 25*t - 648 - 5*t**2 + 2*t**2.
-2*(t + 18)**2
Let i(p) be the first derivative of 4/9*p**3 + 8/3*p**2 + 1/36*p**4 + p + 21. Let d(k) be the first derivative of i(k). What is j in d(j) = 0?
-4
Let u(n) = 5*n**2 + 54*n - 9. Suppose -2*h = -w - 6*h - 7, -3*w = 2*h + 31. Let q be u(w). Suppose 5/6*v**q + 0 - 1/3*v = 0. Calculate v.
0, 2/5
Let h(r) be the third derivative of r**6/40 - 711*r**5/20 + 168507*r**4/8 - 13312053*r**3/2 + 30*r**2 - 9*r. Factor h(u).
3*(u - 237)**3
Let a(f) be the first derivative of -1/6*f**4 - 127 - 4/3*f**3 - 5/3*f**2 + 0*f. Let a(l) = 0. What is l?
-5, -1, 0
Let h(a) be the second derivative of -25*a**7/336 + 11*a**6/12 - 41*a**5/40 + a**4/3 + 2199*a. Determine k so that h(k) = 0.
0, 2/5, 8
Let t(d) = -2*d**2 - 3*d - 3. Let x(m) = 8*m**2 + 337*m - 321. Let v(o) = -6*t(o) - 2*x(o). Factor v(b).
-4*(b - 1)*(b + 165)
Let d(y) be the first derivative of 0*y**2 - 1/10*y**3 - 3/100*y**5 - 1/10*y**4 - 28 + 19*y. Let q(g) be the first derivative of d(g). Factor q(i).
-3*i*(i + 1)**2/5
Let q(z) = 2*z**2 - 64*z + 314. Let r(x) = x. Let s(d) = 4*d + 2. Let a(y) = 3*r(y) - s(y). Let t(b) = 12*a(b) - q(b). Suppose t(u) = 0. Calculate u.
13
Suppose 10*p - 11*p + 1179 = -4*u, -u = 3*p - 3524. Let i = -1172 + p. Factor 8/9*o - 8/9*o**2 + 0 - 22/9*o**i + 2*o**5 + 4/3*o**4.
2*o*(o + 1)**2*(3*o - 2)**2/9
Suppose -10 = 2*g, 3*l = -4*g + 9 - 254. Let v = -73 - l. Factor 0 - 1/2*x**v - 1/6*x**3 - 1/3*x.
-x*(x + 1)*(x + 2)/6
Factor 2/7*u**4 + 18/7 - 48/7*u + 44/7*u**2 - 16/7*u**3.
2*(u - 3)**2*(u - 1)**2/7
Let r(q) = 2 - 5*q + 2 - 1 + 8. Let b be r(-11). Find n such that -4*n**3 + b*n**2 + 32 - 16*n**3 + 10*n**4 - 8*n**4 - 80*n = 0.
1, 4
Let p(l) be the third derivative of -1/144*l**4 - 1/240*l**5 + 0 + 1/2520*l**7 + 0*l + 0*l**3 + 0*l**6 - 107*l**2. Factor p(f).
f*(f - 2)*(f + 1)**2/12
Let v(j) = 3*j**2 - j + 4. Let d(i) = -i**3 + 262*i**2 - 496*i + 265. Let n(c) = -d(c) + 5*v(c). Let n(z) = 0. Calculate z.
1, 245
Let n(c) = -c**3 + 41*c**2 - 11*c + 11. Let w(h) = -3*h**2 + 6*h + 1. Let i(z) = -3*n(z) - 24*w(z). Solve i(u) = 0.
-1, 19
Let v(j) be the third derivative of 1/672*j**8 + 0*j - 1/48*j**4 + 0*j**3 - 1/210*j**7 + 0 + 1/60*j**5 + 52*j**2 + 0*j**6. What is a in v(a) = 0?
-1, 0, 1
Let h be 1096976925/37 + 1*(-2 + 2). Suppose 2544*y**3 + 536*y**4 + 51906*y**3 - 1361*y**4 + 5*y**5 + h*y - 1796850*y**2 - 195676965 = 0. What is y?
33
Let y(w) = -41*w**2 + 26*w + 474. Let l(f) = 6*f**2 - f + 1. Let c(z) = 6*l(z) + y(z). Suppose c(v) = 0. What is v?
-8, 12
Let d(x) be the first derivative of 60 + 0*x + 1/4*x**4 + 0*x**2 + 1/6*x**6 - 2/9*x**3 + 8/15*x**5. Suppose d(k) = 0. What is k?
-2, -1, 0, 1/3
Let p(l) = 9*l + 101. Let r be p(-11). Factor -11*j**2 - 14*j**2 + 33*j**2 + 14*j - 6*j**r.
2*j*(j + 7)
Determine b, given that -578*b**2 - 3*b**4 - 330*b - 2*b**4 + 423*b**2 + 170*b**3 = 0.
-1, 0, 2, 33
Let l(n) be the second derivative of -5*n**7/42 - 6*n**6 - 71*n**5 + 1725*n**4/2 + 34875*n**3/2 - 118125*n**2 + 2198*n. Solve l(w) = 0.
-15, 2, 7
Let g be 0 + 22656/120 - 8/10. Suppose -v = -3*v - 3*u + 26, -4*v + 44 = 4*u. Determine w, given that -g*w**2 + 20*w + 193*w**2 + v + 8 = 0.
-3, -1
Let z = 11 + -11. Let i be 0 + 520/1530 - -4*(-2)/36. Determine r so that z*r - i*r**4 - 12/17*r**2 - 14/17*r**3 + 0 = 0.
-6, -1, 0
Let h(l) be the second derivative of -l**5/25 + 82*l**4/5 - 10248*l**3/5 + 59536*l**2/5 - 2*l + 154. Factor h(o).
-4*(o - 122)**2*(o - 2)/5
Let v(l) be the second derivative of 0*l**2 + 0*l**3 + 0 - 1/15*l**4 + 2/75*l**6 + 0*l**5 - 55*l. Find h such that v(h) = 0.
-1, 0, 1
Let h(i) be the second derivative of -i**6/330 + 13*i**5/44 + 133*i**4/132 + 67*i**3/66 - 2314*i + 2. Factor h(l).
-l*(l - 67)*(l + 1)**2/11
Let p(x) = x**3 + 97*x**2 + 17*x - 367. Let j(u) = u**3 + 65*u**2 + 11*u - 245. Let c(r) = -7*j(r) + 5*p(r). Let c(m) = 0. Calculate m.
-2, 2, 15
Let r(c) = 6*c**2 + 11*c - 2. Let f(n) = 7*n - 61. Let w be f(8). Let h(u) = 9*u**2 + 17*u - 2. Let o(b) = w*h(b) + 7*r(b). Find d, given that o(d) = 0.
-2, -2/3
Suppose -q - 7 = -2*m, 5*m + 5*q + 2 = 42. Suppose 0 = m*z - w - 7, 4*z = 5*w - 1 - 6. Factor -25/8 - 1/8*p**z - 5/4*p.
-(p + 5)**2/8
Let h be ((31/(465/210) + -19)/(135/(-6)))/1. Factor 56/9*o + h*o**4 + 8/3*o**3 + 2 + 20/3*o**2.
2*(o + 1)**3*(o + 9)/9
Let c(u) be the third derivative of 128*u**4 + 0*u - u**2 + 1/40*u**6 + 0*u**3 + 16/5*u**5 + 16. Factor c(k).
3*k*(k + 32)**2
Let j(n) = 38*n**4 - 85*n**3 + 387*n**2 - 545*n + 240. Let y(c) = 11*c**4 - 28*c**3 + 129*c**2 - 182*c + 80. Let d(l) = -2*j(l) + 7*y(l). Factor d(z).
(z - 20)*(z - 4)*(z - 1)**2
Let c(z) be the first derivative of 5*z**4/34 + 542*z**3/17 + 33291*z**2/17 + 39366*z/17 + 2515. Factor c(n).
2*(n + 81)**2*(5*n + 3)/17
Let w(r) = 3 + 81*r - 70*r - 2*r**2 - 1. Let y be w(5). Suppose 11*t**3 - y*t**4 - 3*t**4 + 5*t**5 - 7*t**3 + t**3 = 0. What is t?
0, 1
Suppose -8*y + 7*y - 5*t = -129, -y - t + 141 = 0. Let f be (y/(-225))/(10/(-25)). Suppose -4*j**3 - 8/5*j**5 + 28/5*j - 28/5*j**4 + 4*j**2 + f = 0. What is j?
-2, -1, -1/2, 1
Solve 33*w**3 + 619*w + 96 + 570*w**2 + 539*w - 337*w - 5*w + 60*w**3 = 0 for w.
-4, -2, -4/31
Let t = -93 + 1026. Factor 466*y**3 + 3*y - 2*y**2 - t*y**3 + 466*y**3.
-y*(y - 1)*(y + 3)
Solve 834*q + 14*q + 100*q**2 + 90 + 302*q + 45*q**2 + 165*q = 0.
-9, -2/29
Let g = -14 + 18. Let b(i) = 3*i**2 - 3*i + 3. Let x be b(1). Factor 3*s**g - 22*s**2 - 4*s - 26*s**x - 5*s**4 - 5*s**4 - s**4.
-2*s*(s + 1)*(s + 2)*(4*s + 1)
Let x(h) = -33*h - 311. Let j be x(-16). Solve 153*w - 7 + 35*w**2 + j*w + 6*w**3 - w**3 - 233 - 170*w**2 = 0.
1, 2, 24
Let g be (-3*22/231)/((-768)/112). Let u(p) be the third derivative of -2/9*p**3 + g*p**4 + 0*p + 1/180*p**5 + 28*p**2 + 0. Factor u(m).
(m - 1)*(m + 4)/3
Suppose -1/4*n**4 - 7/4*n**3 + 63/4*n - 3/4*n**2 + 27 = 0. What is n?
-4, -3, 3
Let w(x) = -59*x - 171. Let k be w(-10). Let b = k + -417. Suppose -12/7*o + 2/7*o**3 + 2/7*o**b + 0 = 0. What is o?
-3, 0, 2
Let z(k) be the third derivative of 1/630*k**7 + 0*k + 1/36*k**4 - 1/180*k**5 + 0*k**3 - 1/180*k**6 - k**2 - 6. Factor z(s).
s*(s - 2)*(s - 1)*(s + 1)/3
Let v be (23 - (-356)/(-16))/(2 - (-3)/(-24)). What is b in 8/5 - 2*b**2 + v*b**4 - 5*b**3 + 4*b + b**5 = 0?
-2, -1, -2/5, 1, 2
Suppose -186*o + 7 + 1 = -182*o. Suppose o - 4/5*r**2 + 1/5*r**3 - 7/5*r = 0. Calculate r.
-2, 1, 5
Let s be (3/(-33))/(4 + (-297)/66). Solve -s*w**3 - 6/11*w + 18/11 - 10/11*w**2 = 0.
-3, 1
Let 72*b**2 + 587/7*b**3 + 0 - 338/7*b**5 - 429/7*b**4 - 324/7*b = 0. Calculate b.
-18/13, 0, 1/2, 1
Let t(r) be the first derivative of 5 - 5/2*r + 1/18*r**3 - 7/6*r**2. Factor t(i).
(i - 15)*(i + 1)/6
Let p be 55*(-12)/(-60) - 7. Let q be ((-6)/(-84))/(p/210). Solve 0 - q*a - 5/4*a**2 = 0 for a.
-3, 0
Let g(w) = 5*w**4 + 11*w**3 + 9*w**2. Suppose -43*v - 60 = -23*v. Let c(s) = -32*s**4 - 76*s**3 - 64*s**2. Let l(d) = v*c(d) - 20*g(d). Factor l(o).
-4*o**2*(o - 3)*(o + 1)
Factor -5/2*w**2 - 295/2*w + 150.
-5*(w - 1)*(w + 60)/2
Let j(r) be the third derivative of -2*r**7/35 - 15*r**6/8 - 21*r**5/4 + 235*r**4/8 - 51*r**3/2 + 5402*r**2. Suppose j(u) = 0. Calculate u.
-17, -3, 1/4, 1
Solve 1130*g**4 + 6765/2*g**2 - 5/2 + 2245/2*g + 6775/2*g**3 = 0 for g.
-1, 1/452
Factor 48*y**3 + 2367/2*y**2 + 9200*y + 8064 + 1/2*y**4.
(y + 1)*(y + 16)**2*(y + 63)/2
Let h(r) be the third derivative of -r**7/63 + 19*r**6/144 - 23*r**5/72 + 25*r**4/144 + 5*r**3/12 - 4347*r**2. Determine q, given that h(q) = 0.
-1/4, 1, 3
Suppose 13*j