3 - 10/3.
5*(l - 1)*(l + 1)**2*(l + 2)/3
Let h(l) be the second derivative of l**5/10 + 260*l**4/9 + 7453*l**3/3 - 5046*l**2 - 2687*l. Factor h(q).
2*(q + 87)**2*(3*q - 2)/3
Let f(r) be the third derivative of -r**5/30 + 7*r**4/3 - 60*r**3 + 65*r**2 - 2*r + 6. Suppose f(w) = 0. What is w?
10, 18
Factor 2*h**3 - 4747*h + 8*h**3 - 1923 + 11715*h - 781 - 524*h**2.
2*(h - 26)**2*(5*h - 2)
Let h be (145/(-7) + 494/26)*-6. Let -h + 4/7*s**3 - 24/7*s**2 - 100/7*s = 0. What is s?
-2, -1, 9
Let s be (-48)/(-10) - (4/1)/((-132)/330). Factor -4/5 - s*t - 14*t**2.
-2*(t + 1)*(35*t + 2)/5
Let g(b) be the first derivative of -b**4/3 + 76*b**3/9 + 400*b**2/3 - 624*b - 745. What is f in g(f) = 0?
-9, 2, 26
Let r(f) = 3840*f - 3836. Let k(y) = -2*y**2 + 2*y - 2. Let v(n) = -2*k(n) - r(n). Factor v(b).
4*(b - 960)*(b - 1)
Factor -56454 - 1/2*v**3 - 103*v**2 - 11737/2*v.
-(v + 12)*(v + 97)**2/2
Let a(p) = 30*p + 82. Let i(h) = 293 - 2*h**2 - 5*h - 376 - 6*h - 18*h. Let o(r) = -3*a(r) - 2*i(r). Factor o(j).
4*(j - 10)*(j + 2)
Factor 1/7*k**4 - 3*k + 9/7*k**3 + 0 + 11/7*k**2.
k*(k - 1)*(k + 3)*(k + 7)/7
Let l(d) be the first derivative of d**5/15 + d**4 + 10*d**3/3 - 124*d**2 + 291. Let z(c) be the second derivative of l(c). Factor z(g).
4*(g + 1)*(g + 5)
Factor -155/3*d + 0 - 1/3*d**2.
-d*(d + 155)/3
Let b(r) = -r**4 - 144*r**3 + 153*r**2 + 4*r - 8. Let q(f) = -2*f**2 - f + 2. Let g(l) = -2*b(l) - 8*q(l). Determine i, given that g(i) = 0.
-145, 0, 1
Let f(l) be the second derivative of -358801*l**4/36 + 1198*l**3/9 - 2*l**2/3 - 2*l - 9. Factor f(n).
-(599*n - 2)**2/3
Let w = -100411 - -301237/3. Suppose 1/3 + 4/3*x**3 + 2*x**2 + w*x + 1/3*x**4 = 0. Calculate x.
-1
Let c = -464148 - -1392460/3. Solve 28/9 + 2*p**5 + 38/3*p - 340/9*p**3 - c*p**2 + 76/3*p**4 = 0 for p.
-14, -1/3, 1
Factor 460*x**3 + 5*x**4 + 411710*x**2 + 3553245 - 1308781*x + 3702901*x + 1630*x**3 + 750*x**3.
5*(x + 3)**2*(x + 281)**2
Let h = 19 - 10. Suppose 8*l = 11*l - 2*q - 14, 10 = -l - 3*q. Factor -h*a - 5*a**2 + 0 - 9 - 3*a + l*a**2.
-3*(a + 1)*(a + 3)
Let v be -2*((-14)/2)/7. Let i(a) = -12*a**3 + 14*a**2 - 14*a + 28. Let f(r) = -r**3 - r + 2. Let p(j) = v*i(j) - 28*f(j). Determine q so that p(q) = 0.
-7, 0
Factor 4*z + 4*z - 5*z + 132 - 2804*z**3 + 1402*z**3 - 132*z**2 + 1399*z**3.
-3*(z - 1)*(z + 1)*(z + 44)
Find c such that -940 - 5520*c - 2*c**3 + 15891 + 14673 + 198*c**2 = 0.
7, 46
Determine u, given that 27*u + 16*u**2 - 5*u**2 - 8*u + 660 - 251*u - 7*u**2 = 0.
3, 55
Suppose 626/5*o - 322/15*o**2 - 186 + 2/15*o**3 = 0. Calculate o.
3, 155
Let l = -8048 + 8050. Let v(h) be the second derivative of 0*h**l + 0 - 1/90*h**5 + 1/135*h**6 - 13*h - 1/9*h**3 - 5/54*h**4. Factor v(i).
2*i*(i - 3)*(i + 1)**2/9
Solve -13*a + 205*a**4 + 44*a**2 - 12*a + 18 - 23*a - 203*a**4 - 16*a**3 = 0.
1, 3
Let h = -304529 - -304529. Factor -5/4*o**3 + 0 - 1/2*o**2 + 7/4*o**4 + h*o.
o**2*(o - 1)*(7*o + 2)/4
Suppose 240*y - 3/4*y**2 - 957/4 = 0. Calculate y.
1, 319
Let m(o) be the second derivative of -9*o**5/140 + 229*o**4/7 + 1835*o**3/42 + 153*o**2/7 + 1418*o + 2. Determine b so that m(b) = 0.
-1/3, 306
Let w be (-1167868)/(-196248) - 4*4/136. Factor 10/3*t + w*t**2 - 5/2.
5*(t + 1)*(7*t - 3)/6
Let g(v) = -8*v - 7. Let t be g(-4). Suppose d - 6*d - 2*s + t = 0, -2*d - 3*s = -21. What is k in 10*k**d - 15*k**2 - 4*k - 6*k + 20 + 5*k**4 - 9*k - k = 0?
-2, 1
Let d = -19989 - -19991. Let v(h) be the first derivative of 5 - 2/3*h**3 + 0*h - d*h**2. Factor v(c).
-2*c*(c + 2)
Let z be ((-324)/48)/(-9)*12. Let b = 97/3 - 32. Let 3*r**2 + b*r**3 + z*r + 9 = 0. Calculate r.
-3
Let f = 287 - 237. Factor -f*a + 963*a**3 + 24*a**2 - 959*a**3 - 10*a - 400.
4*(a - 4)*(a + 5)**2
Let f(g) be the third derivative of -g**7/2520 - g**6/270 - g**5/90 - 43*g**3/3 + 112*g**2. Let c(u) be the first derivative of f(u). Factor c(l).
-l*(l + 2)**2/3
Let l(w) be the first derivative of w**7/252 - w**6/24 + 5*w**5/72 - 19*w**2 - 56. Let q(i) be the second derivative of l(i). Factor q(o).
5*o**2*(o - 5)*(o - 1)/6
Let w be 125/(-15) + (-3)/(-9). Let i(s) = -3*s**3 - 29*s**2 + 67*s + 201. Let h(b) = -4*b**3 - 44*b**2 + 100*b + 300. Let u(p) = w*i(p) + 5*h(p). Factor u(q).
4*(q - 3)*(q + 3)**2
Let x(d) = 19*d - 74. Let m be x(4). What is b in -49*b**3 + 3*b**4 - 9*b**m + 7*b**3 + 42*b**3 - 6*b = 0?
-1, 0, 2
Let v(t) = -t**3 + 11*t**2 - 30*t + 63. Let b be v(9). Let x(a) = 6*a + 272. Let p be x(b). Factor 2/9*z - 4/3 + 2/9*z**p.
2*(z - 2)*(z + 3)/9
Let p(t) be the first derivative of t**7/280 - t**6/5 + 9*t**5/8 - 11*t**4/4 + 26*t**3 - 31. Let u(r) be the third derivative of p(r). Factor u(c).
3*(c - 22)*(c - 1)**2
Suppose -59 + 29 = -3*p. Let r be p/(-2) - (-15 + 7). Find z such that 0*z**2 - z - 2*z + 0*z + 6*z**r - 3*z**2 = 0.
-1/2, 0, 1
Let o = 839736 - 839734. Let -9/2*m + 0 - 3/2*m**o = 0. What is m?
-3, 0
Suppose 412 = 77*f - 50. Let h(b) be the third derivative of 0*b**5 + 0 + 1/60*b**f + 0*b**4 + 0*b + 14*b**2 + 0*b**3. Suppose h(k) = 0. Calculate k.
0
Factor -2/13*w**3 + 32/13 + 8/13*w - 8/13*w**2.
-2*(w - 2)*(w + 2)*(w + 4)/13
Let t be (-2)/(-9 - 27219/(-3027)). Let r = 507/2 - t. Solve 1/4*z**4 + 9/4*z**2 + r*z**3 + 7/4*z + 1/2 = 0 for z.
-2, -1
Factor 1/5*z**2 - 48/5 + 8/5*z.
(z - 4)*(z + 12)/5
Factor 8*d + 2/9*d**2 - 152/9.
2*(d - 2)*(d + 38)/9
Suppose 181147 - 66469 + 88122 - 412*i**2 - 356*i**2 - 47580*i - 3*i**3 = 0. Calculate i.
-130, 4
Let b(m) = -28 - 15629*m + 5 + 15627*m. Let y be b(-13). Factor 0*x + 0 - 1/2*x**2 + 1/2*x**y.
x**2*(x - 1)/2
Let y be (-53820)/(-93288) + 3 + 40/(-13). Determine f so that 272*f**2 + 0 + 321/2*f**3 + 17*f**4 + y*f**5 + 128*f = 0.
-16, -1, 0
Let j(i) be the second derivative of i**8/1848 - i**7/1155 + 30*i**2 - 54*i. Let v(z) be the first derivative of j(z). Suppose v(k) = 0. What is k?
0, 1
Let s(j) be the first derivative of 3/25*j**5 - 3/5*j**3 + 25 + 0*j**2 - 3/10*j**4 + 0*j. Find z, given that s(z) = 0.
-1, 0, 3
Let u = -36342 - -36344. Factor -2/5*s**3 - 24/5*s - 16/5*s**u + 0.
-2*s*(s + 2)*(s + 6)/5
Let n(p) = -23*p - 373. Let u be n(-17). Suppose -u*v - 522 = -666. Let -1/3*w**4 - 16/3 + 2*w**3 - v*w - 1/3*w**2 = 0. What is w?
-1, 4
Let s(g) be the second derivative of -125*g**7/7 - 155*g**6/3 - 17*g**5 + 108*g**4 + 544*g**3/3 + 128*g**2 - 21*g + 75. Suppose s(m) = 0. What is m?
-4/5, -2/3, 1
Let n be ((-5)/(-3))/((-40)/(-15) - 3). Let k be (-1 - (-8)/20) + (-28)/n. Let -k*d**5 + 7*d**5 + d**5 + 0*d**5 + 3*d**4 = 0. What is d?
-1, 0
Let u(l) be the third derivative of -l**5/120 - 77*l**4/24 + 26*l**3 - 379*l**2. Determine p so that u(p) = 0.
-156, 2
Let k = -692 - -755. Suppose 6 = 5*p - 3*v, -10 = -62*p + k*p + 5*v. What is g in 9/5*g**2 + 3/5*g**4 - 9/5*g**3 - 3/5*g + p = 0?
0, 1
Let d be (-1 + -1 - 2)*2502/(-2919). What is v in d*v**3 + 0*v - 4/7*v**4 + 0 - 20/7*v**2 = 0?
0, 1, 5
Let a be (-51)/(-3) - -5*(-6)/15. Suppose -120*w - a = -125*w. Factor 0 + 0*g - 2/5*g**2 - 2/5*g**w.
-2*g**2*(g + 1)/5
Let g(a) be the second derivative of -8/3*a**2 - 145*a - 1/18*a**4 + 0 + a**3. Factor g(d).
-2*(d - 8)*(d - 1)/3
Suppose 0 = 2*w - m - 229 - 120, -4*w + 5*m = -689. Solve s**4 + 384*s + 32*s**3 - 9*s**4 + 10*s**4 + w*s**2 + 288 = 0.
-6, -2
Let s(y) be the first derivative of -y**7/231 - 4*y**6/165 + y**5/10 - y**4/11 - 47*y - 109. Let t(u) be the first derivative of s(u). Factor t(i).
-2*i**2*(i - 1)**2*(i + 6)/11
Let m(q) = q**3 - 5*q**2 - 2*q + 10. Let i be m(5). Suppose i*t + 54 = 3*t. Let -t*k**4 + 20*k**2 + 0 - 10*k**4 + 5 - 36*k + 3 + 36*k**3 = 0. What is k?
-1, 2/7, 1
Let h be (7 + -3 + 2)*(7 + (-76)/12). Let d(s) be the second derivative of 0*s**2 + 0 + h*s + 0*s**3 + 1/4*s**4. Determine p, given that d(p) = 0.
0
Let l(a) be the third derivative of a**7/525 + a**6/60 + 7*a**5/150 + a**4/20 - 4*a**2 - 36*a. Let l(b) = 0. Calculate b.
-3, -1, 0
Let p(f) = 9041*f - 207941. Let x be p(23). Find h such that -8*h**4 + 118/3*h**3 + 169/3*h + 0 + 1/3*h**5 + 104*h**x = 0.
-1, 0, 13
Let g(d) be the first derivative of 1/10*d**5 - 15*d - d**4 + 2 + 4*d**3 - 8*d**2. Let u(j) be the first derivative of g(j). Factor u(q).
2*(q - 2)**3
Let q(t) = 3*t - 9. Let a be (3 - (3 + 4))/((-1)/2). Let u(z) = -z**2 - 9*z + 26. Let s(c) = a*q(c) + 3*u(c). Factor s(x).
-3*(x - 1)*(x + 2)
Let a(t) be the 