ive of k**5/60 - 25*k**4/24 + 14*k**3 - k**2 - 9*k. Factor b(g).
(g - 21)*(g - 4)
Let l(x) be the first derivative of -x**5 + 75*x**4 + 530*x**3 + 1130*x**2 + 975*x - 3473. Factor l(a).
-5*(a - 65)*(a + 1)**2*(a + 3)
Let -856*t**3 + 38*t + 4675*t**2 + 68*t + 39*t**4 + 136*t = 0. Calculate t.
-2/39, 0, 11
Solve 0 - 2/7*t**5 - 32/7*t**2 - 114/7*t + 32/7*t**4 + 116/7*t**3 = 0 for t.
-3, -1, 0, 1, 19
Suppose -4*k + 19 - 7 = 0, 2*x - 281 = 5*k. Determine w so that -x*w**3 - 15*w**2 + 0*w**4 + 3*w**4 + 142*w**3 + 18*w = 0.
-2, 0, 1, 3
Let j(d) be the second derivative of -1 + 1/10*d**5 + 1/135*d**6 + 0*d**2 + 4/9*d**4 + 16/27*d**3 + 18*d. Factor j(q).
2*q*(q + 1)*(q + 4)**2/9
Suppose 21*d - 103 = 2. Let h be ((5 - 12) + 8)/d. Factor -4/5*v - 2/5*v**3 + v**2 + h.
-(v - 1)**2*(2*v - 1)/5
Let g = -157514 + 157514. Solve -1/4*d**2 - 1/2*d + g = 0.
-2, 0
Let t(w) = -w + w + 3*w + 27 + 6*w. Let f be t(-3). Factor -1/3*a**2 + 1/3*a + f - 1/3*a**3 + 1/3*a**4.
a*(a - 1)**2*(a + 1)/3
Let n(u) = -36*u - 12. Let k be n(-3). Let o be k/(-171) + (-3)/9 + 1. Solve o + 4/19*d + 2/19*d**2 = 0 for d.
-1
Let q be (4 + -1 + 0)/(-1). Let l be 6/(-24)*4 - q. Let 0 + 10/3*z**l - 8*z**3 + 25/3*z - 1/3*z**5 - 10/3*z**4 = 0. Calculate z.
-5, -1, 0, 1
Suppose 0 = -b + 3*b - 14, -d - 23 + 12 = -2*b. Factor -2/5*t**d + 32/5 - 8/5*t**2 + 8/5*t.
-2*(t - 2)*(t + 2)*(t + 4)/5
Let o = 64/111 - 9/37. Let j(u) be the first derivative of 4/5*u - o*u**2 - 14 + 2/45*u**3. Factor j(b).
2*(b - 3)*(b - 2)/15
Let u(h) = h + 2. Let p be u(-2). Let i = -8515890/11 - -774172. Factor p*o + 0*o**2 + i*o**3 + 0.
2*o**3/11
Let u(p) be the second derivative of -p**4/20 - 17*p**3/10 - 21*p**2 + 179*p + 6. Find w such that u(w) = 0.
-10, -7
Determine x so that 891/2*x + 222*x**2 + 223 - 1/2*x**3 = 0.
-1, 446
Suppose 262*t - 259*t = 5*l - 4, 3*l = 3*t. Let p(k) be the first derivative of 0*k + 1/20*k**4 - 2/5*k**l + 1/25*k**5 - 4/15*k**3 + 28. Factor p(m).
m*(m - 2)*(m + 1)*(m + 2)/5
Let y(h) be the second derivative of 2/3*h**4 + 1/20*h**5 - 1/15*h**6 - 2/3*h**3 + 10 + 0*h**2 - 2*h. Factor y(k).
-k*(k - 2)*(k + 2)*(2*k - 1)
Let h be (-4 + 6)/(5 + -27 + 23). Let 1/4*r**h - 19/4*r + 9/2 = 0. Calculate r.
1, 18
Let x be (-7)/7 - (2 - 42)/5. Let t(q) be the second derivative of 0*q**3 - 1/2*q**4 - 3/4*q**5 - 2/5*q**6 - 1/14*q**x + 0*q**2 + 0 + 4*q. Factor t(o).
-3*o**2*(o + 1)**2*(o + 2)
Suppose 17*w - 23*w + 42 = 0. Factor -55*q - 10 - w + 7 + 0 - 75*q**3 + 140*q**2.
-5*(q - 1)**2*(15*q + 2)
Factor -6066 - 186266 - 63840*n + 168*n**3 - 3*n**4 - 72*n**2 - 240868.
-3*(n - 38)**2*(n + 10)**2
Let p(j) be the second derivative of j**5/170 + 7*j**4/34 + 128*j**3/51 + 180*j**2/17 - 55*j + 4. Determine v, given that p(v) = 0.
-10, -9, -2
Let b be (-648)/(-110) + (-60)/55. Let z(q) be the first derivative of -q**4 - 22/3*q**3 - 6*q**2 + 8/3*q**6 + 19 + b*q**5 - 2*q. Factor z(u).
2*(u - 1)*(u + 1)*(2*u + 1)**3
Let w(t) be the third derivative of -t**7/525 - 83*t**6/150 - 162*t**5/25 - 482*t**4/15 - 256*t**3/3 - t**2 - 2*t - 1910. Solve w(i) = 0.
-160, -2
Let y = 5 + -10. Let u be 4 - (-39)/(-5) - y. Determine a, given that u - 3/5*a - 3/5*a**2 = 0.
-2, 1
Suppose 0 = -u + 2*u + 141. Let x = u + 143. Suppose 53*s + 116 - 416 + 7*s - 4*s**x + s**2 = 0. What is s?
10
Factor 132207*n**3 - 10*n + 46*n**2 - 132202*n**3 - 36 - 161*n.
(n - 3)*(n + 12)*(5*n + 1)
Let l(z) = 2*z**3 + 2*z**2 + z. Let w(f) be the second derivative of 13*f**5/20 + f**4/4 - 8*f**3/3 + 10*f**2 + 199*f. Let k(x) = 4*l(x) - w(x). Factor k(t).
-5*(t - 2)*(t - 1)*(t + 2)
Let u be 76/12 + (-42)/28*6/3. Solve -2/3*t**3 + 6*t + u + 2*t**2 = 0.
-1, 5
Let b(m) = m**3 - 2*m + 1. Let n(y) = -y**4 + 1006*y**3 - 249000*y**2 - 250014*y + 7. Let f(j) = 14*b(j) - 2*n(j). Factor f(g).
2*g*(g - 500)**2*(g + 1)
Let w be -1897 + 1857 - -22*2. Factor 2/5*n**w - 10*n - 24/5 - 26/5*n**2 + 2/5*n**3.
2*(n - 4)*(n + 1)**2*(n + 3)/5
Suppose 0 = 57*p - 33*p - 744. Solve -15*u**3 - 39*u - 50 + 85*u - p*u - 5*u**4 + 55*u**2 = 0 for u.
-5, -1, 1, 2
Let s = -2191 - -2216. Suppose s*j = 12*j + 65. Factor 4/5*x**2 - 2/5 + 2/5*x**j - 2/5*x**4 - 4/5*x**3 + 2/5*x.
2*(x - 1)**3*(x + 1)**2/5
Suppose 4*s = -3*g + 1048, -2*g + 2*s = 2*g - 1390. Suppose -5*z = -97 - g. Factor 2 + 2*i + 2*i - z*i**2 + 91*i**2.
2*(i + 1)**2
Let m(j) be the third derivative of -j**5/45 - 175*j**4/3 + 2102*j**3/9 + 50*j**2 + 2*j + 40. Determine k, given that m(k) = 0.
-1051, 1
Let f = 1124893/749926 + -2/374963. Factor 3/4 + 3/4*j**2 - f*j.
3*(j - 1)**2/4
Let p(c) be the third derivative of c**6/30 - 20*c**5 - 201*c**4/2 - 604*c**3/3 + 2293*c**2. Determine t, given that p(t) = 0.
-1, 302
Let v(f) be the first derivative of 5*f**3/3 + 605*f**2/2 - 1230*f + 585. Suppose v(t) = 0. What is t?
-123, 2
Let d(f) be the first derivative of -f**6/2 - 27*f**5/5 + 105*f**4/4 - 15*f**3 - 51*f**2 + 72*f + 2612. Solve d(q) = 0.
-12, -1, 1, 2
Let c = 350089/20 + -69773/4. Factor -7803/5 + c*f - 3/5*f**2.
-3*(f - 51)**2/5
Let i(f) = -3 - 191*f - 1 - 9*f**5 + 48*f**2 + 30*f**3 + 210*f. Let u(n) = 8*n**5 - 30*n**3 - 46*n**2 - 18*n + 3. Let l(r) = 3*i(r) + 4*u(r). Factor l(d).
5*d*(d - 3)*(d + 1)**3
Let j = -125/51203 + 40154371/46543527. Let c = j - 42/101. Let c*a**2 + 4 - 40/9*a = 0. What is a?
1, 9
Factor 1984/5 + 1056/5*s + 156/5*s**2 + 4/5*s**3.
4*(s + 4)**2*(s + 31)/5
Suppose 0 = 2*g + 7*j - 2*j - 3001, -2*g = -4*j - 2992. Suppose 85 - g*o**2 - 405 + 80*o + 1493*o**2 = 0. What is o?
8
Let p = 275 - 268. Determine x so that 12*x**4 + 14*x**3 - p*x**4 + 5*x**5 - 5*x**2 - 19*x**3 = 0.
-1, 0, 1
Let u(n) be the first derivative of -53 + 69/8*n**2 + 3/16*n**4 - 13/4*n**3 - 33/4*n. Factor u(d).
3*(d - 11)*(d - 1)**2/4
Let d(w) be the second derivative of w**6/75 - 109*w**5/50 + 1043*w**4/10 - 8639*w**3/15 + 5618*w**2/5 - 2*w - 53. Solve d(y) = 0 for y.
1, 2, 53
Let x(z) be the third derivative of -507*z**6/100 - 26*z**5/5 + 49*z**4/20 - 2*z**3/5 - 89*z**2. Determine h so that x(h) = 0.
-2/3, 1/13
Factor -204/5*a + 2/5*a**2 + 578.
2*(a - 85)*(a - 17)/5
Let d be (-1 - 0)*-1 - 66. Let p(m) = -120*m**2 - 265*m - 440. Let w(c) = 11*c**2 + 24*c + 40. Suppose 7 = 34*a + 211. Let t(s) = a*p(s) + d*w(s). Factor t(k).
5*(k + 2)*(k + 4)
Let c(f) = -111*f - 10764. Let b be c(-97). Let 75/7*g**2 + 333/7*g**3 + b*g**5 + 0 + 225/7*g**4 - 54/7*g = 0. What is g?
-9, -1, 0, 2/7
Let g(t) = 2*t - 32. Let q be g(19). Suppose -o - 14*o = -q*o. Find z such that -2/3*z**2 + 2/3 + o*z = 0.
-1, 1
What is r in 17/6*r**2 + 8 + 7/3*r**3 + 1/6*r**4 - 40/3*r = 0?
-12, -4, 1
Let g(x) be the first derivative of x**3/12 + 4*x**2 + 64*x + 1041. Solve g(z) = 0.
-16
Let g(m) = 25*m**5 + 608*m**4 - 9770*m**3 - 4640*m**2 + 9840*m + 4032. Let a(q) = -q**5 - 18*q**3. Let t(j) = -5*a(j) - g(j). Find x, given that t(x) = 0.
-42, -1, -2/5, 1, 12
Suppose 4*l + 1 = -7. Let q be -30*2/l + 0/2. Factor -48*f**4 - 17*f**5 + q*f**3 - 5*f**2 - f**2 + 3*f**3 + 38*f**5.
3*f**2*(f - 1)**2*(7*f - 2)
Let s(l) = -31*l**2 - 107*l + 1204. Let i(k) = 17*k**2 + 54*k - 603. Let b(y) = 7*i(y) + 4*s(y). Determine a so that b(a) = 0.
-17, 7
Let n be 4/48 + (-2012)/(-48). Suppose -242*f = -228*f - n. Find o, given that -3/2*o**5 + 0 + f*o**2 + 6*o**4 + 0*o - 15/2*o**3 = 0.
0, 1, 2
Let v be (-1419)/4730 - 33/(-10). Solve -3888*q - 8748 - 4/3*q**4 - 48*q**v - 648*q**2 = 0.
-9
Suppose -4 = q - 3*q. Let p = 31027 + -154577/5. Determine x, given that -p*x**4 - 224/5*x**3 - 24/5*x**q - 162/5*x**5 + 0 + 0*x = 0.
-3, -2/9, 0
Let o be ((0*(-9)/45)/(-2))/(-2). Factor o + 2/5*t**4 - 2*t**2 - 30*t + 14/5*t**3.
2*t*(t - 3)*(t + 5)**2/5
Let g be -43 + 36 - (3 - 14). Let z(y) be the third derivative of -1/315*y**7 - y**2 + 1/90*y**6 + 0*y**3 + 0*y**5 + 0 + 0*y + 0*y**g. Solve z(i) = 0.
0, 2
What is n in 0*n + 1050/13*n**4 + 0 + 250/13*n**5 + 686/13*n**2 + 1470/13*n**3 = 0?
-7/5, 0
Let f(q) = -4*q**2 - 30*q + 44. Let o be f(-9). Let y be (o/(-12))/(10 - (-30)/(-6)). Factor 0 - 5/3*k + y*k**2.
k*(k - 10)/6
Let x = 488/9 - 5530/99. Let z = x + 20/11. Find m such that -2/11*m**3 - z*m**2 + 2/11 + 2/11*m = 0.
-1, 1
Suppose -104*t + 99*t = -10. Let -6*l + 5*l**t + 4282*l**3 + l - 5 - 4277*l**3 = 0. What is l?
-1, 1
Let o(d) be the second derivative of -46/3*d**3 + 1058*d**2 + 25 + 1/12*d**4 - 2*d. Let o(a) = 