 be the third derivative of w**6/24 - 133*w**5/12 + 55*w**4/2 - 1903*w**2. Determine u so that n(u) = 0.
0, 1, 132
Let j(q) = -q**3 - 6*q**2 + 10. Let a be j(-5). Let s be (a/10)/((-2)/4). What is c in -7 - 9 + 5*c**4 + 12*c**2 - c**4 + 19*c**3 - s*c**3 - 16*c = 0?
-2, -1, 1
Let l = 134968 + -944772/7. Factor -36/7*b**3 + l*b**4 + 12*b**2 + 24/7 - 76/7*b.
4*(b - 6)*(b - 1)**3/7
Let w = 17730 - 17699. Let v(j) be the first derivative of -9/4*j**2 + w + 1/2*j**3 + 1/8*j**4 - 27/2*j. Suppose v(o) = 0. What is o?
-3, 3
Let y be (-924)/(-147) - (-4)/(-14). Factor 5*w - 2*w - 9*w**2 - 3 + 8*w**2 + 1 + y.
-(w - 4)*(w + 1)
Let f(a) be the third derivative of -a**6/480 + 19*a**5/60 - 37*a**4/24 - 5*a**2 - 10*a - 6. Factor f(i).
-i*(i - 74)*(i - 2)/4
Let i(x) be the first derivative of -x**7/3360 + x**6/720 - x**5/480 + 2*x**3/3 + 5*x + 23. Let d(l) be the third derivative of i(l). Factor d(k).
-k*(k - 1)**2/4
Find c, given that -5/2*c**3 + 505/2 + 495/2*c**2 + 1005/2*c = 0.
-1, 101
Let c(f) = f**2 + f - 1. Let d(a) = -10*a**2 - 11*a + 5. Let w = 0 + -1. Suppose -24*s = -19*s + 15, s = 2*n + 9. Let i(x) = n*c(x) + w*d(x). Factor i(l).
(l + 1)*(4*l + 1)
Let r(i) be the third derivative of 5*i**8/336 - 2*i**7/21 + i**6/24 + 7*i**5/6 - 25*i**4/6 + 20*i**3/3 + 5*i**2 - 10*i. Solve r(q) = 0.
-2, 1, 2
Let o(z) be the first derivative of -z**5/30 - 10*z**4/9 - 100*z**3/9 + 88*z + 55. Let s(f) be the first derivative of o(f). Factor s(l).
-2*l*(l + 10)**2/3
Let s(m) be the third derivative of 12*m**2 + 0*m - 1/600*m**5 + 0 - 7/240*m**4 + 0*m**3. Factor s(d).
-d*(d + 7)/10
Factor 2029*h - 1011*h + 12*h**2 - h**3 - 12 - 1017*h.
-(h - 12)*(h - 1)*(h + 1)
Let t(f) be the third derivative of f**6/48 + 59*f**5/24 - 5*f**4/12 - 295*f**3/3 + 7910*f**2. Factor t(d).
5*(d - 2)*(d + 2)*(d + 59)/2
Solve -127*g**2 + 3*g**3 - 122*g**2 + 398*g**2 - 68*g**2 - 84*g = 0 for g.
-28, 0, 1
Let u(o) be the second derivative of 9 + 64*o**3 + 42/5*o**5 + 1/21*o**7 - 104/3*o**4 + 3*o - o**6 + 0*o**2. Solve u(g) = 0.
0, 3, 4
Suppose -2*o - 2*a = -o - 1, -9 = -o + 2*a. Find w such that -8*w + 50*w**4 - 5*w**5 + 18*w**3 - 54*w**4 - 48 + 44*w**2 + 3*w**o = 0.
-2, 1, 3
Let t(s) = -s**3 + s**2 - s + 1. Let c be t(0). Let i = c - -1. Factor 16*d - i*d - d**2 - 17*d**2 + d + 3*d**3.
3*d*(d - 5)*(d - 1)
Let f(o) be the first derivative of -o**6/30 - 63*o**5/20 - 77*o**4/8 - 23*o**3/3 - o**2 - 97*o - 248. Let p(m) be the second derivative of f(m). Factor p(z).
-(z + 1)*(z + 46)*(4*z + 1)
Suppose -81*h + 2255 + 52 = -447. Let a(j) be the first derivative of -1/2*j**3 - 1/16*j**4 + 3/2*j + 1/8*j**2 - h. Find p such that a(p) = 0.
-6, -1, 1
Let x(u) = u + 4. Let b be x(1). Suppose 2*y + 4*p = -0*p + 4, 0 = -2*y - b*p + 4. Factor -1 + 1 + 2*r + 0 + 2 - y*r**3 - 2*r**2.
-2*(r - 1)*(r + 1)**2
Let b = -1040 - -1040. Let z(f) be the third derivative of 13*f**2 + b*f**3 + 1/16*f**4 - 3/80*f**5 + 0*f + 0. Factor z(u).
-3*u*(3*u - 2)/4
Let g(p) = -7*p**2 - p + 30. Let y(s) = s**2 - 1817 + s + 1817. Let d(f) = -g(f) - 5*y(f). Factor d(b).
2*(b - 5)*(b + 3)
Let d(s) be the third derivative of s**7/420 - 7*s**6/4 + 209*s**5/20 - 313*s**4/12 + 139*s**3/4 - 2277*s**2. Let d(v) = 0. What is v?
1, 417
Let y = 9038 - 54389/6. Let i = y - -337/12. Suppose 3/4 - i*s**2 - s + 1/2*s**3 = 0. Calculate s.
-1, 1/2, 3
Suppose 260*n - 211*n = 3528. Let j(h) = h**2 - 2*h + 2. Let a be j(2). Factor n*y**a - 4*y**4 + 51*y - 13*y + 3*y**3 + 3*y**5 + 10*y - 14*y**4.
3*y*(y - 4)**2*(y + 1)**2
Let v(w) be the third derivative of -5/4*w**6 + 1/42*w**7 + 11*w**2 - 7*w + 0*w**3 - 245/3*w**4 + 21*w**5 + 0. Suppose v(y) = 0. What is y?
0, 2, 14
Let m(t) be the first derivative of -31*t**5/30 + 9*t**4/4 + 4*t**3/3 + 94*t**2 - 17. Let k(n) be the second derivative of m(n). Find d such that k(d) = 0.
-4/31, 1
Let s(x) be the first derivative of 1/6*x**4 + 8/3*x**2 - 55 - 32/3*x + 14/9*x**3. Factor s(k).
2*(k - 1)*(k + 4)**2/3
Let l be (-2)/10*10/(-12). Let s(m) be the third derivative of 1/480*m**6 + l*m**3 + 1/48*m**5 + 1/12*m**4 + 0*m - 41*m**2 + 0. Solve s(h) = 0.
-2, -1
Let c(d) be the first derivative of -3*d**5/40 + 3339*d**4/32 - 139*d**3 + 10950. Suppose c(p) = 0. What is p?
0, 1, 1112
Let w be 2/(8/26)*(-40 - (120292/(-87))/34). Factor 4*a - w + 1/3*a**2.
(a - 1)*(a + 13)/3
Factor -2*q**2 + 112*q - 280 + 323*q - 714*q + 3*q**2.
(q - 280)*(q + 1)
Suppose -54/7 - 1215/7*y**3 - 48/7*y**2 + 321/7*y - 1032/7*y**4 - 240/7*y**5 = 0. What is y?
-2, -9/5, -1, 1/4
Let f be 3*2/21 + (-72)/(-42). Suppose 240*z**2 + 147 + 45*z**f + 101*z**3 - 26*z**3 + 52*z + 305*z = 0. What is z?
-7/5, -1
Factor -26554368 - 3552*g**2 - 72070700 - 771685*g - 944937*g - 5112276 + 665230*g - 4*g**3.
-4*(g + 296)**3
Let x(f) be the third derivative of f**6/600 - 71*f**5/2 + 630125*f**4/2 - 4473887500*f**3/3 - 13324*f**2. What is m in x(m) = 0?
3550
Determine h so that 5*h**2 - 709915 + 709915 - 825*h = 0.
0, 165
Let k(q) = 830*q + 26563. Let r be k(-32). What is j in 30*j - 5*j**r - 18 - 1/2*j**4 - 13/2*j**2 = 0?
-6, 1
Let s(c) be the second derivative of c**7/6300 - 31*c**6/7200 - c**5/150 + 5*c**4/3 + c**2/2 - 142*c. Let u(i) be the third derivative of s(i). Factor u(j).
(j - 8)*(4*j + 1)/10
Suppose -2*a + 45 = 165. Let p = a - -63. Factor 5*g - g + 4*g - g**2 - p*g**2.
-4*g*(g - 2)
Suppose v + 3*t - 638 = 0, -4*v + 23*t + 2594 = 21*t. Suppose -v*d - 20 = -657*d. Find w, given that 0*w + 1/2*w**d + 0 + 1/3*w**3 - 1/6*w**4 = 0.
-1, 0, 3
Let z = -2377 - -2377. Let v(r) be the third derivative of 1/32*r**4 - 1/840*r**7 + 0 - 1/240*r**5 + 16*r**2 - 1/160*r**6 + 1/12*r**3 + z*r. Factor v(h).
-(h - 1)*(h + 1)**2*(h + 2)/4
Let q = 13 + -9. Let h be (q/(-5))/(4/(-80)). Factor -4*z - 2*z + 10 + 3*z**3 + 3*z + 6*z**2 - h.
3*(z - 1)*(z + 1)*(z + 2)
Let f be ((-3)/(-4))/(3 - 148/48). Let l be 10*(-35)/(-25) + f. Find q, given that -1/4*q**4 + 0*q**2 + 0*q**3 + 0 + 0*q + 1/4*q**l = 0.
0, 1
Let c(s) be the second derivative of -s**7/84 - s**6/4 - 79*s**5/40 - 59*s**4/8 - 43*s**3/3 - 15*s**2 + 95*s - 21. Suppose c(q) = 0. What is q?
-6, -5, -2, -1
Let f(i) = 115*i**2 + 2416*i + 2382. Let g(d) = 64*d**2 + 1210*d + 1191. Let a(b) = 5*f(b) - 9*g(b). Let a(w) = 0. What is w?
-1, 1191
Suppose -2*r + 9 = 3*k, 2*k + 5*r + 226 = 232. Solve 0 + 0*b**2 - 27/8*b**5 + 0*b - 3/2*b**k - 15/2*b**4 = 0 for b.
-2, -2/9, 0
Let a = 22018/21 - 7323/7. Determine t, given that -t**3 - 4/3*t + 0 - a*t**2 = 0.
-4/3, -1, 0
Suppose 582 = 3*n + 519. Find b, given that b**2 + 3*b**2 + 32*b + n - 21 = 0.
-8, 0
Let k(q) = -33*q**3 + 45*q**2 + 1683*q + 4299. Let g(m) = -8*m**3 + 12*m**2 + 421*m + 1075. Let p(d) = 21*g(d) - 5*k(d). Find f such that p(f) = 0.
-5, -4, 18
Let u = 40080 + -761510/19. Find v, given that 2/19*v**2 + 8/19*v - u = 0.
-5, 1
Let i = -307 - -412. Suppose d - i = -20*d. Factor -2*b**3 - 10/9*b**d + 0 + 0*b + 8/3*b**4 + 4/9*b**2.
-2*b**2*(b - 1)**2*(5*b - 2)/9
Suppose 3*k - 141*u + 139*u = -8, u - 4 = 3*k. Let p(v) be the second derivative of 0 - 1/50*v**5 - 1/15*v**4 - 1/15*v**3 + 11*v + k*v**2. Solve p(h) = 0 for h.
-1, 0
Let p be (4/10 + -1)*-20. Suppose -p = -3*z + 6. Find w such that -359*w + 3*w**3 + 344*w - z*w**2 + 5 + 12 + 1 = 0.
-2, 1, 3
Let q(y) = 3*y**3 - 350*y**2 - 112*y - 583. Let r be q(117). Let 19/3*a + 1/3*a**r + 6 = 0. What is a?
-18, -1
Let q = -367/876 - -4321/6132. Factor 8/7*p**2 + q*p**3 + 4/7 + 10/7*p.
2*(p + 1)**2*(p + 2)/7
Let -943739*j**2 + 22*j + 943859*j**2 - j - 99 = 0. Calculate j.
-1, 33/40
Determine o, given that -227/2*o + 1/4*o**2 + 51529/4 = 0.
227
Let d be 2/(-16)*2*-116. Suppose 4*k - r + 10 = d, k - 4*r - 1 = 0. Factor -2*t**2 + k*t**4 + t - 13*t**2 + 9*t.
5*t*(t - 1)**2*(t + 2)
Let s(v) be the third derivative of v**8/2352 + v**7/735 - v**6/210 - v**5/210 + v**4/56 + 2*v**2 - 27*v + 152. Factor s(x).
x*(x - 1)**2*(x + 1)*(x + 3)/7
Let t = -77 - -92. Factor 60*b**2 + 98 - 252*b + t - 32 - 4*b**3 + 115.
-4*(b - 7)**2*(b - 1)
Suppose -12709*o**2 - o**4 - 18*o**3 + 6361*o**2 + 6357*o**2 + 30*o + 4*o**4 = 0. What is o?
-1, 0, 2, 5
Let c = 78205 + -78196. Factor 15/2*a + c - 3/2*a**2.
-3*(a - 6)*(a + 1)/2
Let h be ((-4)/(-5))/(((-2816)/40)/(-44)). Let l(r) be the first derivative of -23 - 3*r**2 + h*r**3 + 6*r. Suppose l(g) = 0. Calculate g.
2
L