177*k**2 + 3. Factor q(i).
2*(i - 1450)**2
Let o(m) = -23*m**4 + 46*m**3 - 231*m**2 + 372*m - 188. Let b(p) = -52*p**4 + 93*p**3 - 463*p**2 + 744*p - 376. Let k(r) = 4*b(r) - 9*o(r). Factor k(u).
-(u - 2)**2*(u - 1)*(u + 47)
Let y(s) = 2*s**4 + 212*s**3 + 874*s**2 + 1096*s + 428. Let g(q) = q**4 + q**2 - 3. Let a(k) = -4*g(k) + y(k). Let a(d) = 0. Calculate d.
-2, -1, 110
Let n(l) be the second derivative of -l**4/12 - 5*l**3/3 + 4*l**2 - 8*l. Let w be n(-9). Determine g, given that 9 - 69*g + w - 7 - 1 + 21*g**2 = 0.
2/7, 3
Let q(u) be the third derivative of 0*u**3 + 0*u - 1/1140*u**6 - 1/285*u**5 + 61*u**2 + 0*u**4 + 0. Factor q(n).
-2*n**2*(n + 2)/19
Let b(s) be the second derivative of -s**8/6720 + s**6/240 - s**5/60 + s**4/32 - 59*s**3/6 + 53*s. Let m(u) be the second derivative of b(u). Factor m(n).
-(n - 1)**3*(n + 3)/4
Let s(t) = 2*t**2 - 40*t - 158. Let c(h) = 3*h**2 - 59*h - 236. Let z(j) = 5*c(j) - 8*s(j). Factor z(k).
-(k - 28)*(k + 3)
Let r = -463244/9 + 51474. Find l such that 2/9*l**2 + r - 8/3*l = 0.
1, 11
Let j(y) be the first derivative of 27*y**5/40 - 87*y**4/32 + 3*y**3/4 + 27*y**2/4 - 3*y - 1144. Suppose j(s) = 0. Calculate s.
-1, 2/9, 2
Let p(m) = 5*m**2 + 9*m + 20. Let s be p(9). Solve -1021*w - w**2 + s*w + 512*w = 0 for w.
-3, 0
Let k(y) = -16*y**2 - 54*y + 18. Let r(t) = -t**2 - t + 1. Let d(z) = -k(z) + 2*r(z). Factor d(c).
2*(c + 4)*(7*c - 2)
Suppose -15*l = -21*l + 12. Factor 0*o**5 - 4*o**3 + 14*o**5 - 4*o**5 - 6*o**5 - 3*o**4 + 3*o**l.
o**2*(o - 1)*(o + 1)*(4*o - 3)
Find z, given that -36*z**2 - 16/3*z**3 - 24 + 316/3*z = 0.
-9, 1/4, 2
Let 235*y**4 - 1457*y**2 - 2319*y - 20*y**5 - 335*y**3 + 2354*y + 2450 + 521*y**2 - 1429*y**2 = 0. Calculate y.
-2, -5/4, 1, 7
Let f(j) be the first derivative of -1/6*j**3 + 17/12*j**2 + 22 - 5/3*j. Solve f(u) = 0.
2/3, 5
Suppose -822*f + 813*f + 27 = 0. Suppose 4*r + 6 = 7*r + f*t, -7 = -4*r - 5*t. Factor 0 - 2/13*u**2 - 42/13*u**r + 4/13*u.
-2*u*(3*u + 1)*(7*u - 2)/13
Let f be (-9)/(-6)*(-4)/(-6) + 34. Suppose s = 10 + f. Suppose -307*l**5 + 143*l**3 - 35*l**3 + s*l**4 - 9*l**4 + 310*l**5 = 0. What is l?
-6, 0
Suppose -10*t = -2*h - 52, 3*t - 3*h - 9 = -3. Let p(u) be the third derivative of -50*u**4 - 2000/3*u**3 + 38*u**2 + 0 - 1/30*u**t + 0*u - 2*u**5. Factor p(l).
-4*(l + 10)**3
Let u(w) be the second derivative of -w**6/180 - w**5/15 + 7*w**4/36 + 4*w**3/3 + 9*w**2/4 + 170*w - 3. Factor u(t).
-(t - 3)*(t + 1)**2*(t + 9)/6
Let b = 77 - 75. Suppose 0 = 5*i - 4*y + 10, 6 = b*i + 2*y - 8. Solve 0*p**2 - 4*p**i - 13*p**3 - 12*p**4 + p**3 - 4*p**5 = 0.
-1, 0
Let c = -565/27 - -610/27. Factor 0 - 2*r**3 + 17/3*r**4 + 0*r**2 - c*r**5 + 0*r.
-r**3*(r - 3)*(5*r - 2)/3
Solve 0 - 183/7*s**3 + 54/7*s**4 - 12*s - 3/7*s**5 + 216/7*s**2 = 0.
0, 1, 2, 14
Let l = 552 + -121. Let m = l - 2154/5. Determine p so that m*p**3 - 2/5*p**2 + 0*p + 0 + 1/5*p**4 = 0.
-2, 0, 1
Let j(n) be the third derivative of 0 + 1/40*n**6 + 0*n**3 + 1/70*n**7 + 17*n**2 + 0*n**4 + 0*n**5 + 2*n. Find x, given that j(x) = 0.
-1, 0
Let j(r) be the second derivative of 5*r**4/12 + 45*r**3/2 - 400*r**2 + 522*r. Solve j(m) = 0 for m.
-32, 5
Let a be -34 + 5481/145 - 2/(-10). Suppose -3*s**a + 2*s + 0 + 13/2*s**3 + 1/2*s**5 - 6*s**2 = 0. Calculate s.
0, 1, 2
Let s(h) = h**3 + 65*h**2 + 78*h + 898. Let v be s(-64). Let d(f) be the first derivative of -1/4*f**4 + 0*f - 1/3*f**3 + f**v - 1. Factor d(j).
-j*(j - 1)*(j + 2)
Suppose 5*b = 6*q - 2*q - 226, -4*q + 206 = 5*b. Suppose -5*a**3 + 898*a**4 + 17*a**3 - 901*a**4 + 9*a**2 - q*a = 0. What is a?
-2, 0, 3
Solve 19*k + 32*k**2 + 2*k**3 + 8*k + 2*k**3 - 11*k - 192 = 0.
-6, -4, 2
Let x(k) be the first derivative of -1/15*k**5 + 5/9*k**3 + 0*k + 1/3*k**2 - 1/18*k**6 + 1/4*k**4 - 61. Factor x(t).
-t*(t - 2)*(t + 1)**3/3
Let k be (-3)/12 + (-13)/(-4). Find v such that 66*v**2 + 338 + 2160*v + 114*v**2 + 8302 + 5*v**k = 0.
-12
Factor -60 + g**2 - g**2 - 168*g**3 - 38*g - 178*g**3 + 348*g**3.
2*(g - 5)*(g + 2)*(g + 3)
Let j(t) be the first derivative of t**6/1980 + t**5/165 - 5*t**4/132 + 82*t**3/3 + 62. Let l(y) be the third derivative of j(y). Find h, given that l(h) = 0.
-5, 1
Let j(h) be the second derivative of h**8/560 - h**7/45 + 7*h**6/180 + 2*h**5/15 + 43*h**4/12 - 4*h + 2. Let x(c) be the third derivative of j(c). Factor x(a).
4*(a - 4)*(a - 1)*(3*a + 1)
Let f(i) be the second derivative of i**5/70 + 127*i**4/42 + 3968*i**3/21 - 4096*i**2/7 - 3*i - 52. Factor f(z).
2*(z - 1)*(z + 64)**2/7
Let i(j) = -1104*j**2 - 47471*j + 99. Let m be i(-43). Solve -m*c**2 - 156/7*c**3 - 16/7*c**4 - 180/7*c + 72/7 = 0.
-6, -3, -1, 1/4
Let o(k) = 21*k**2 + 1031*k - 6254. Let z(d) = 23*d**2 + 1033*d - 6252. Let j(u) = 9*o(u) - 8*z(u). Factor j(l).
5*(l - 6)*(l + 209)
Let w(b) be the third derivative of -b**8/168 + 29*b**7/105 - 307*b**6/60 + 1343*b**5/30 - 364*b**4/3 - 3136*b**3/3 - 206*b**2. Let w(a) = 0. Calculate a.
-1, 7, 8
Let x = -452431/2 + 226216. What is r in -6*r**2 + 6*r**4 + 2*r - 5/2*r**5 + 0 + x*r**3 = 0?
-1, 0, 2/5, 1, 2
Let x = 8259 + -8257. Factor 2/3*l**x - 28/3*l + 26/3.
2*(l - 13)*(l - 1)/3
Solve -1554*o**2 - 40 - 60*o**4 - 325*o**3 + 2872*o**2 - 1593*o**2 + 250*o = 0 for o.
-4, -2, 1/4, 1/3
Let p(l) be the third derivative of l**5/390 + 23*l**4/26 + 137*l**3/39 - 2*l**2 - 2588*l. Find k, given that p(k) = 0.
-137, -1
Let q(n) be the first derivative of -23*n**4 + 8*n**4 - 3*n**3 - 5*n**3 + 5*n**4 + 9*n**4 + 106. Factor q(w).
-4*w**2*(w + 6)
Suppose 642*h - 949*h - 401*h = 1228*h. Factor h*a + 0 - 1/3*a**5 + 1/3*a**4 + a**2 + 5/3*a**3.
-a**2*(a - 3)*(a + 1)**2/3
Find x such that -2*x**5 + 136*x**4 - 9493*x - 3769*x**2 - 2519*x**2 + 3798*x - 2026*x**3 - 6977*x - 3364*x**2 - 5184 = 0.
-2, -1, 36
Let w(c) = 1906*c - 135150. Let n be w(71). Determine q, given that 2/5*q**3 - 968/5 + n*q + 86/5*q**2 = 0.
-22, 1
Suppose 344*x - 55 = 349*x. Let j be (x/7)/(-11) + 16/35. Determine m so that -j*m**2 - 24/5*m - 21/5 = 0.
-7, -1
Let m(u) = -u + 8. Let v be m(4). Suppose -4*y + v*n = -0 + 4, 5*n = -5*y + 45. Factor 4*a + 9*a**2 + a + y*a**4 + 12*a**3 - 6*a + 3*a.
a*(a + 2)*(2*a + 1)**2
Let c = 75 - 74. Let m be 30/(c + 4)*1/3. Factor 0 + 2/9*s**3 - 2/9*s + 0*s**m.
2*s*(s - 1)*(s + 1)/9
Suppose -10*m + 134 = -186. Factor 4*k**3 + 18*k + 35*k - m*k + 9 + 16*k**2.
(k + 1)*(2*k + 3)**2
Let i = -11008/35 + 2210/7. Factor 3/5*k**5 + 12/5*k + 12/5*k**2 - 9/5*k**3 + 0 - i*k**4.
3*k*(k - 2)**2*(k + 1)**2/5
Let o = -160 + 163. Factor 2*m**2 + m**o + 0*m**2 - 21*m + 26 + m**4 - 19*m**2 + 10.
(m - 4)*(m - 1)*(m + 3)**2
Let t be (132 - (-869442)/(-13855)) + 6/17. Determine l so that -10092/5 - 3/5*l**2 - t*l = 0.
-58
Let 21/4*z**3 + 115/4*z - 12 - 87/4*z**2 - 1/4*z**4 = 0. Calculate z.
1, 3, 16
Let p(d) = 5*d**2 - 3*d - 5. Let q be p(-1). Let 0*m**3 - 28*m**q + 111*m**2 - 99*m**2 = 0. Calculate m.
0, 3/7
Let y(x) = -x**4 + x**3 - x**2 - 3*x - 1. Let s(w) = 5*w**4 - 14*w**3 + 15*w**2 + 90*w + 6. Let m(q) = s(q) + 6*y(q). Factor m(u).
-u*(u - 3)*(u + 3)*(u + 8)
Let a(b) be the third derivative of -b**7/560 - b**6/40 + 13*b**5/160 + b**4/2 - 9*b**3/4 + 5*b**2 + 24. Suppose a(c) = 0. What is c?
-9, -2, 1, 2
Let r(g) = -35*g**3 - 71*g**2 - 28*g + 11. Suppose 38 = 13*c - 51*c. Let d(u) = -2*u**2 - u + 2. Let o(p) = c*r(p) + 3*d(p). Factor o(a).
5*(a + 1)**2*(7*a - 1)
Let f = 1260 - 435. Let w = f + -823. Suppose 3 - 5/2*t**w - 13/2*t = 0. What is t?
-3, 2/5
Determine v so that -59/3*v**2 - 184/3*v - 124/3 + 1/3*v**3 = 0.
-2, -1, 62
Let r be (12/(-9))/(4/(-78)). Suppose 0 = -6*d + 4 + r. Factor 4*l**4 - d*l**2 - 9*l**4 + 0*l**2 - 10*l**3.
-5*l**2*(l + 1)**2
Let m(n) be the first derivative of -n**4/14 - 38*n**3/21 + 48*n**2 - 2232*n/7 - 2381. Suppose m(j) = 0. What is j?
-31, 6
Factor 0*c**3 + 0*c**2 + 0*c + 12/13*c**4 + 2/13*c**5 + 0.
2*c**4*(c + 6)/13
Let a(g) be the second derivative of -10 + 1/10*g**6 - 3*g**3 - 1/42*g**7 + 2*g + 0*g**2 - 5/4*g**4 + 7/20*g**5. Factor a(t).
-t*(t - 3)**2*(t + 1)*(t + 2)
Suppose 9 = z + 5. Suppose -7*d + 18 + 63*d**2 + 21*d - 24*d**4 + 44*d**4 + 43*d - 17*d**z + 27*d**3 = 0. Calculate d.
-6, -1
Let w(v) be the first derivative of v**4/24 - 4*v**3/9 + 17*v**2/12 - 5*v/3 - 565. Factor w(i).
(i - 5)*(i - 2)*(i - 1)/6
Let m(j) be the third derivative of 0*j**3 + 1/4