t**2. Factor l(o).
-(o - 1)*(o + 403)/4
Let i(x) = 163*x**3 + 30*x**2 + 8*x - 120. Let c(v) = 89*v**3 + 15*v**2 + 4*v - 60. Let l(t) = 11*c(t) - 6*i(t). Determine a so that l(a) = 0.
-2, 2, 15
Let l = 874 + -873. Suppose 6 = 4*c - 25*q + 23*q, 0 = -2*c + 3*q + l. Factor 4/3 + 2/3*i**4 + 10/3*i**3 + 14/3*i + 6*i**c.
2*(i + 1)**3*(i + 2)/3
Let m(g) be the first derivative of g**4/4 - 3*g**3 - 53*g**2/2 + 15*g - 202. Let f be m(13). What is o in 8/9*o**3 - 4/3*o**f - 2/9*o**4 - 2/9 + 8/9*o = 0?
1
Let y(x) be the second derivative of -2/3*x**3 - 1 + 1/21*x**4 + 12/7*x**2 - 24*x. Factor y(v).
4*(v - 6)*(v - 1)/7
Let i(u) be the second derivative of -7 + 34/3*u**3 - 20*u**2 + 1/5*u**5 - 8/3*u**4 - 26*u. Solve i(v) = 0 for v.
1, 2, 5
Let d(m) be the first derivative of m**6/90 - 7*m**5/10 + 3*m**3 - 48. Let j(z) be the third derivative of d(z). Factor j(c).
4*c*(c - 21)
Let p = -195 + 789/4. Let s be 44 - 83421/1860 - ((-6)/(-21) + 66/(-35)). Factor p*t - 3/2 - s*t**2.
-3*(t - 2)*(t - 1)/4
Let x(h) = 41*h + 205. Let w be x(-5). Suppose -3*m - 14 = -p, 11*p - 7*p - 3*m - 20 = w. Solve 10/3*u**p - 2*u - 4/3 = 0.
-2/5, 1
Let q be 18/1080*-7*3/(-63). Let w(g) be the third derivative of 0*g + q*g**5 + 0*g**4 + g**2 + 0*g**3 + 0 - 1/360*g**6. Factor w(l).
-l**2*(l - 1)/3
Let b(r) = -2*r**2 - r - 3. Let l(n) = 5*n**2 + 3*n + 8. Let x(o) = -8*b(o) - 3*l(o). Let p be x(-1). Factor -3*d**3 + 55*d**2 - 56*d**p + 2*d**3.
-d**2*(d + 1)
Let u(q) be the third derivative of 113*q**5/210 + 489*q**4/28 - 26*q**3/21 - 1979*q**2. Solve u(n) = 0 for n.
-13, 2/113
What is z in 0 - 8*z - 9/4*z**4 + 1/4*z**5 + 11/2*z**3 + 0*z**2 = 0?
-1, 0, 2, 4
Let q = 319150 + -319146. Let 171/7*c + 3/7*c**5 + 264/7*c**2 + 6 + 54/7*c**q + 186/7*c**3 = 0. Calculate c.
-14, -1
Let x(a) = 163*a + 3. Let s be x(3). Suppose 5*n - s = 33. Suppose -97*c**4 + 6*c**2 - 2*c**2 + n*c**4 - 12*c**3 = 0. Calculate c.
0, 1/2, 1
Let i(a) be the third derivative of 0*a**4 - a + 0 - 1/350*a**7 + 1/40*a**6 + 0*a**3 + 0*a**5 - 41*a**2. Suppose i(w) = 0. Calculate w.
0, 5
Let z(k) be the third derivative of -63*k**5/25 - 1891*k**4/30 - 4*k**3/3 - 7*k**2 + 333*k. Factor z(l).
-4*(l + 10)*(189*l + 1)/5
Suppose 68*x + 124026 = 124026. Factor 1/2*f**3 + x + 3*f + 7/2*f**2.
f*(f + 1)*(f + 6)/2
Suppose -204*r = -203*r - 5*g - 99, 96 = 5*r - 4*g. Determine b so that -30/7*b + 2/7*b**5 + 4/7*b**2 - 18/7 + r*b**3 + 2*b**4 = 0.
-3, -1, 1
Let r(m) be the third derivative of -m**6/60 - 199*m**5/12 + 1499*m**4/24 + 499*m**3/3 + 4122*m**2. Factor r(g).
-(g - 2)*(g + 499)*(2*g + 1)
Let o be ((-36)/45)/(8/(-460)). Let a be (-39 - -35) + o/10. Find w such that -a*w + 1/5*w**3 - 4/5*w**2 + 18/5 = 0.
-2, 3
Solve 478/5*h - 619/5*h**2 - 17/5*h**4 + 206/5*h**3 - 48/5 = 0 for h.
2/17, 1, 3, 8
Let x(n) = 5*n**2 + 14*n. Let m be x(-3). Factor 117*i + 7*i**m + 36 - 116*i**2 - 211*i + 7*i**3.
2*(i - 9)*(i + 1)*(7*i - 2)
Let u(o) be the third derivative of -o**7/70 - 133*o**6/40 - 33*o**5/5 + 140*o**2 + 2. Factor u(c).
-3*c**2*(c + 1)*(c + 132)
Let m(k) be the second derivative of 0*k**2 + 0*k**4 + 72*k + 7/10*k**6 + 0*k**3 + 1/14*k**7 + 9/10*k**5 + 0. Suppose m(g) = 0. What is g?
-6, -1, 0
Let n = 24812/3 - 8270. Let b(z) be the second derivative of 0 + 4*z + 1/5*z**5 + 0*z**2 + n*z**4 + 2/3*z**3. Factor b(c).
4*c*(c + 1)**2
Let o(i) = 33*i**4 - 45*i**3 + 162*i**2 - 150*i - 15. Let w(p) = -2*p**4 + p**2 + p + 1. Let t(h) = -o(h) - 15*w(h). What is r in t(r) = 0?
0, 1, 5, 9
Factor 137640*v + 0*v**4 - 5*v**4 - 26942*v**2 - 740*v**3 - 42567*v**2 + 3*v**4 - 69192 + 1803*v**2.
-2*(v - 1)**2*(v + 186)**2
Suppose -4 = 12*r - 13*r. Factor 449*k**r - 5*k**5 + 464*k**4 - 15*k**3 - 893*k**4.
-5*k**3*(k - 3)*(k - 1)
Let j(o) be the second derivative of 3*o**5/5 + 175*o**4/4 + 64*o**3 - 129*o**2/2 + 171*o. Determine b, given that j(b) = 0.
-43, -1, 1/4
Let q = 48 - 34. Let x be (-10)/(-945)*69 - q/49. Factor x*z - 2/9*z**2 - 2/9.
-2*(z - 1)**2/9
Let u = 286 + -284. Factor 29*o**2 - 44*o + 13*o**2 + 92*o**u + 247*o**3 - 253*o**3.
-2*o*(o - 22)*(3*o - 1)
Let y(p) be the third derivative of 0*p + 1/315*p**7 - p**2 + 0*p**4 + 1/18*p**6 + 0*p**3 + 45 + 8/45*p**5. Factor y(w).
2*w**2*(w + 2)*(w + 8)/3
Let l(p) be the second derivative of p**4/3 - 1124*p**3/3 + 157922*p**2 - 6*p - 95. Let l(j) = 0. Calculate j.
281
Let k be -5 + 12/3 - (4 - 493/87). Factor -8/3*p + k*p**4 + 0*p**2 + 2*p**3 + 0.
2*p*(p - 1)*(p + 2)**2/3
Let w(q) be the second derivative of -q**5/20 + q**4/3 + 29*q**3/6 + 12*q**2 + 376*q. Factor w(s).
-(s - 8)*(s + 1)*(s + 3)
Suppose 12*q + 170*q**2 - 12*q**3 + 109*q**4 - 89*q**4 - 190*q**2 = 0. Calculate q.
-1, 0, 3/5, 1
Let h(q) be the first derivative of 12*q + 13/5*q**2 + 2/15*q**3 - 146. Factor h(p).
2*(p + 3)*(p + 10)/5
Find l such that -1008 - 560*l + 264*l**2 + 450*l + 4*l**3 + 597*l + 253*l = 0.
-63, -4, 1
Let t(o) be the second derivative of -o**7/42 + 7*o**6/30 + 9*o**5/10 - 3624*o. Factor t(k).
-k**3*(k - 9)*(k + 2)
Let 2/5*y**2 - 714 - 1184/5*y = 0. Calculate y.
-3, 595
Let l(m) be the second derivative of 91*m + 4/39*m**3 + 0*m**2 + 0 + 2/39*m**4 + 1/130*m**5. Suppose l(v) = 0. Calculate v.
-2, 0
Let s = 24859/50 - 12342/25. What is n in -s - 1/6*n**2 + 5/3*n = 0?
3, 7
Let 464/9*k**2 - 463/9*k**3 - 1/9*k**4 + 0*k + 0 = 0. What is k?
-464, 0, 1
What is x in -58 + 178 - 2*x**4 - 751*x**2 - 20*x + 45*x**3 - 3*x**4 + 661*x**2 = 0?
-1, 2, 6
Let b(s) be the first derivative of s**6/36 + 2*s**5/5 - 7*s**4/12 - 2*s**3/3 + 13*s**2/12 + 7046. What is c in b(c) = 0?
-13, -1, 0, 1
Factor -3/4*t**3 - 243/4 + 87/4*t**2 - 153/4*t.
-3*(t - 27)*(t - 3)*(t + 1)/4
Let d(u) = -u + 9. Let c be d(5). Let t(y) = -y**3 - 49*y**2 + 154*y - 101. Let g be t(-52). Suppose 161 + k**4 - c*k - 6*k**g - 161 + 9*k**2 = 0. What is k?
0, 1, 4
Suppose -3857*c - 468 = -3853*c. Let f be ((-91)/c)/((-21)/(-18)). Suppose -1/3 + 2/3*a**2 - 1/3*a**4 + f*a**3 - 1/3*a - 1/3*a**5 = 0. What is a?
-1, 1
Let i be (-3680)/3864*(-4)/(-16)*-9. Let t(b) be the second derivative of -33/14*b**3 + i*b**2 - 1/4*b**4 + 0 - 40*b. Find p such that t(p) = 0.
-5, 2/7
Suppose -2124*x + 353*x**2 + 110*x**3 - 497*x**3 - 829*x**2 - 240 - 128*x**2 - 24*x**4 - 1076*x**2 = 0. Calculate x.
-10, -4, -2, -1/8
Let d(u) be the third derivative of -u**8/224 + 29*u**7/420 - 19*u**6/80 - u**5/120 + 5*u**4/4 - 7*u**3/3 - 50*u**2 - 9*u. Solve d(a) = 0 for a.
-1, 2/3, 1, 2, 7
Suppose 6 = 2*t + i, 5*t - 3*i = -4*i + 12. Suppose -18*b + 78 = 8*b. Factor 6/5*q**t + 18/5*q - 2/5*q**b + 2.
-2*(q - 5)*(q + 1)**2/5
Let h(m) be the first derivative of m**6/21 + 8*m**5/35 - 58*m**4/7 + 628*m**3/21 - 43*m**2 + 28*m + 461. Let h(x) = 0. What is x?
-14, 1, 7
Let a be 2/10 + 646/95 - 5. Factor -9*g**3 - 5*g**3 + 28*g**3 - 11*g**3 + 15*g**a + 12*g.
3*g*(g + 1)*(g + 4)
Let n = -66/6421 + 103198/44947. Factor 2/7*t**2 + 0 - n*t.
2*t*(t - 8)/7
Let j = 43 - 39. Let l be 2 + (-3 + j + -1)/(-1). Factor -2*x**2 + x**3 + l*x**4 - x**2 + 0*x**2 - x**5 + x**2.
-x**2*(x - 2)*(x - 1)*(x + 1)
Suppose -4*d + 61 = 4*j + 25, -5*d + j = -21. Suppose b = 4*z - 14, -d*z = 7*b - 2*b - 30. Let -8/5 + 16/5*k + 2/5*k**3 - 2*k**b = 0. Calculate k.
1, 2
Let z(t) be the second derivative of -t**7/21 + 16*t**6/15 + 11*t**5/10 - 97*t**4/3 + 296*t**3/3 - 128*t**2 + 532*t. Determine x, given that z(x) = 0.
-4, 1, 2, 16
Suppose 15 + 1 = -3*r - 4*o, r + 2*o + 4 = 0. Let b be (-36)/r + (-12)/(-8). Let 38*q**2 - b*q**2 - 20*q**3 - 49*q + 4*q**4 + 33*q = 0. Calculate q.
0, 1, 2
Let g(x) = 4*x**5 - 11*x**4 + 2*x**3 + 35*x**2 - 12*x + 6. Let b(u) = -u**4 + u**3 - 2*u**2 + u - 1. Let h(z) = 6*b(z) + g(z). Solve h(v) = 0 for v.
-1, 0, 1/4, 2, 3
Factor 1/8*p**2 + 741/4*p + 549081/8.
(p + 741)**2/8
Suppose 5*v - a - 7588 = 0, -4*v + 6070 = -14*a + 13*a. Let z = v - 1514. Factor -12/7*m - 12/7 - 3/7*m**z + 6/7*m**3 + 9/7*m**2.
-3*(m - 2)**2*(m + 1)**2/7
Let o(f) be the third derivative of -2/105*f**7 - 2/3*f**6 + 112*f**2 - 26/3*f**4 + 0 + 0*f - 18/5*f**5 - 34/3*f**3. Factor o(k).
-4*(k + 1)**3*(k + 17)
Let b be -4*(-3)/2 - 7. Let g(c) = -2*c + 1. Let k(u) = 5*u**2 + 29*u + 28. Let a(n) = b*k(n) - 2*g(n). Suppose a(h) = 0. Calculate h.
-3, -2
Let u be 416/8*10/64 - 2720/340. Suppose -3*i - u*i**2 - 18 = 0. What is i?
-12
Let g(f) be the first derivative 