36 - 29*c**3/6 + c**2 - 1. Let h(f) be the first derivative of n(f). Factor h(b).
-2*(b + 1)*(b + 5)/3
Let n(c) = 17*c**2 - 136*c + 155. Let x be n(7). Solve 0 - 126*u**2 - 10/3*u**5 - 102*u**3 - 94/3*u**4 - x*u = 0.
-3, -2/5, 0
Let y(w) = 3*w**3 + 90*w**2 + 667*w + 23564. Let u be y(-31). Factor -5/2*l - 1/2*l**u + 0 + 5/2*l**3 + 1/2*l**2.
-l*(l - 5)*(l - 1)*(l + 1)/2
Let w = -49 + 52. Determine x so that -4*x**5 - 11*x**2 + 4*x**w - 75*x**4 + 39*x**4 + 47*x**2 = 0.
-9, -1, 0, 1
Factor 8*y**4 + 788544 + 5*y**4 + 515040*y - 6*y**4 + 0*y**4 - 3*y**4 + 80548*y**2 - 1160*y**3.
4*(y - 148)**2*(y + 3)**2
Let p(t) = t**3 + 296*t - 222. Let a(b) = 3*b**3 - 22*b**2 + 1182*b - 888. Let l(z) = 3*a(z) - 11*p(z). Factor l(u).
-2*(u - 3)*(u - 1)*(u + 37)
Let u(i) be the third derivative of i**6/300 + 13*i**5/75 + 71*i**4/60 + 46*i**3/15 + 4*i**2 + 4*i - 18. Factor u(n).
2*(n + 1)*(n + 2)*(n + 23)/5
Suppose 7*h + 8 + 246 = 149*h - 15*h. What is c in -15/4*c**h - 5/4*c**4 + 25/4*c**3 + 0*c + 0 - 5/4*c**5 = 0?
-3, 0, 1
Solve -1335905*u + 667539*u - 3240 + 673216*u + 15*u**2 = 0.
-324, 2/3
Let u(z) be the second derivative of 25*z - 34/5*z**3 + 1 + 2601/5*z**2 + 1/30*z**4. Suppose u(k) = 0. Calculate k.
51
Solve -33*b + 94 - 9091*b**3 - 10 - 3*b**2 - 11*b + 9092*b**3 + 2*b**2 = 0.
-7, 2, 6
Suppose -14*j = -21*j. Let t(l) be the second derivative of -22*l + j - 1/90*l**6 - 1/60*l**5 + 0*l**3 + 1/36*l**4 + 0*l**2 + 1/126*l**7. Factor t(g).
g**2*(g - 1)**2*(g + 1)/3
Let w(t) be the third derivative of 3*t**8/896 + t**7/140 - 19*t**6/320 - t**5/20 + 3*t**4/16 + 310*t**2. Suppose w(l) = 0. Calculate l.
-3, -1, 0, 2/3, 2
Let t(y) be the third derivative of -1/60*y**6 + 1/140*y**7 + 0*y - 30*y**2 - 1/30*y**5 + 0*y**3 + 0*y**4 + 0. Suppose t(k) = 0. What is k?
-2/3, 0, 2
Suppose 0 = -2*s + 8, 5*s = 4*o + 2070 + 1574. Let x = -902 - o. Let 4/9*y**3 - 8/9 - 40/9*y + 14/9*y**x - 14/3*y**2 = 0. Calculate y.
-1, -2/7, 2
Let b(c) be the first derivative of 5*c**6/6 + 443*c**5/3 - 3745*c**4/6 + 3010*c**3/3 - 4525*c**2/6 + 755*c/3 - 9801. Determine y so that b(y) = 0.
-151, 1/3, 1
Suppose -33*u = -30*u + 18. Let d be 3 - -21*2/u. Let m(i) = -i**2 + i + 1. Let n(r) = -10*r**2 + 6*r + 7. Let f(o) = d*n(o) + 36*m(o). Factor f(p).
4*(p + 1)*(p + 2)
Let w(n) be the first derivative of 2*n**3/3 - 1462*n**2 + 1068722*n - 1718. What is v in w(v) = 0?
731
Let p(f) be the third derivative of -f**5/40 + 119*f**4/16 - 117*f**3/2 + 47*f**2 + 2*f + 5. Let p(c) = 0. Calculate c.
2, 117
Let m(a) = 4*a**2 + 58*a + 300. Let f(h) = -h**2 + 6*h. Let g(l) = 2*f(l) + m(l). What is u in g(u) = 0?
-30, -5
Factor -1/3*a**2 + 641/3 + 640/3*a.
-(a - 641)*(a + 1)/3
Factor -1314/19*a + 2620/19 + 2/19*a**2.
2*(a - 655)*(a - 2)/19
Factor 24*m**2 + 2*m**3 - 23831 + 23727 + 8*m**2 + 70*m.
2*(m - 1)*(m + 4)*(m + 13)
Let y(m) be the third derivative of -m**7/210 - 29*m**6/24 - 1823*m**5/20 - 15407*m**4/24 - 5041*m**3/3 - 695*m**2. Factor y(c).
-(c + 1)*(c + 2)*(c + 71)**2
Let m(l) be the third derivative of -l**5/120 + 2*l**4 + 100*l**3/3 - 3673*l**2. Factor m(r).
-(r - 100)*(r + 4)/2
Let a be ((-26544)/(-79))/(-4) + 86. Factor -2/7*n**a - 14450/7 - 340/7*n.
-2*(n + 85)**2/7
Let 40729*d**2 - 150*d - 40864*d**2 - 6*d**3 + 280 + 11*d**3 = 0. Calculate d.
-2, 1, 28
Find n such that 3/4*n**3 + 0*n + 0 + 3/4*n**4 - 3/2*n**2 = 0.
-2, 0, 1
Let b = 665 + -662. Factor -25*x - 11*x**2 + 11*x - 12*x**b - 5*x**2 + 14*x - 2*x**4.
-2*x**2*(x + 2)*(x + 4)
Let u = -306 + 371. Factor 210*j**2 - 55 - 50*j**3 + 44 - 198*j + u.
-2*(j - 3)*(5*j - 3)**2
Let v(i) be the third derivative of 0*i - 9/2*i**4 + 47*i**2 + 0 + 52/3*i**3 + 1/15*i**5. Factor v(f).
4*(f - 26)*(f - 1)
Let g = 229992 - 459983/2. Find h such that g*h**2 - 1/2 - 1/4*h + 1/4*h**3 = 0.
-2, -1, 1
Let o be (-1)/(2/(-8) - (-9)/52). Find h such that 4*h + o - 13 + h**3 + 2*h - 5*h**2 = 0.
0, 2, 3
Factor -5/4*k**2 - 1/4*k**3 + 1/2*k + 6.
-(k - 2)*(k + 3)*(k + 4)/4
Let o = 9701 - 19401/2. Let z(y) be the first derivative of -o*y**2 + 2/3*y**3 - 1/4*y**4 + 0*y + 24. Suppose z(l) = 0. What is l?
0, 1
What is d in -3/5*d**4 + 3036/5*d + 138/5*d**3 - 1452/5 - 1719/5*d**2 = 0?
1, 22
Find b such that -192*b + 0 + 3/8*b**5 + 87*b**3 - 90*b**2 - 117/8*b**4 = 0.
-1, 0, 4, 32
Let t(n) be the third derivative of -n**5/70 - 799*n**4/84 + 178*n**3/7 + 2830*n**2. Suppose t(c) = 0. Calculate c.
-267, 2/3
Let t(j) = 17*j - 157. Let s be t(9). Let y be (6/s)/((165/(-22))/15). Factor -4/3*c - 8/3*c**y + 0 - 2/3*c**4 - 10/3*c**2.
-2*c*(c + 1)**2*(c + 2)/3
Factor 14*m**2 - 2/7*m**3 - 1048/7*m + 136.
-2*(m - 34)*(m - 14)*(m - 1)/7
Let o = 71599 - 71596. Determine s, given that 0 + 1/2*s**2 - 2/5*s - 1/10*s**o = 0.
0, 1, 4
Let p(d) be the third derivative of -d**6/540 - 7*d**5/135 - d**4/108 + 52*d**3/9 + d**2 + 874. Let p(s) = 0. What is s?
-13, -4, 3
Let j = -23 - -29. Let h be ((j/9)/((-2)/3))/(-1). Factor -11*n**2 - 6 + 15*n - 4*n**2 + h + 5*n**3.
5*(n - 1)**3
Let d be (-4)/((-2 - (-24 + 17))/(-5*4/8)). Let 47/5*q**2 - 59/5*q**3 - 3/5*q**5 + 5*q**4 + 0 - d*q = 0. Calculate q.
0, 1/3, 1, 2, 5
Let u(x) = 54*x - 1994. Let c be u(37). Let v(i) be the first derivative of -11*i**2 + 10 + 32/3*i**3 + 4*i - 7/2*i**c. Factor v(j).
-2*(j - 1)**2*(7*j - 2)
Let q = -15 + 20. Suppose 2 = -f - 5*v - 11, -2*f = q*v + 11. Suppose 46*j**5 + f*j**3 - 49*j**5 + j**3 = 0. What is j?
-1, 0, 1
Determine m so that 630 - 89*m**2 - 112 - 515*m**3 + 374*m**2 + 284*m + 1026*m - 10*m**4 + 2 = 0.
-52, -1, -1/2, 2
Let p be ((-510)/714)/(5/(-2)). Let j(n) be the first derivative of -p*n**4 + 0*n - 2/35*n**5 - 2/7*n**2 + 7 - 10/21*n**3. Factor j(r).
-2*r*(r + 1)**2*(r + 2)/7
Let v be 77/(1309/(-170)) - ((-148)/12 + -3). What is p in 10/3*p**5 + 0*p**2 - 8/3*p**3 + 0 - v*p**4 + 0*p = 0?
-2/5, 0, 2
Let l(f) be the first derivative of f**6/210 - f**5/105 - 2*f**4/21 + 8*f**3/21 - 23*f**2 - 44. Let i(x) be the second derivative of l(x). Factor i(q).
4*(q - 2)*(q - 1)*(q + 2)/7
Factor 3*j**3 - 2*j**5 - 3*j**4 + 5*j**5 + 15*j**4 - 630*j**2 + 9*j**4 + 549*j**2 + 54*j.
3*j*(j - 1)**2*(j + 3)*(j + 6)
Let u be (0 - 3) + (-10)/(-8 - 297/(-44)). Let q(l) be the second derivative of -1/40*l**u + 0*l**4 + 0 + l**3 - 4*l**2 + 34*l. Factor q(r).
-(r - 2)**2*(r + 4)/2
Let i(q) be the third derivative of -q**6/60 + 7*q**5/10 - 7*q**4/6 - 152*q**3 - 86*q**2 + 4*q + 7. Solve i(p) = 0 for p.
-4, 6, 19
Let g(n) be the second derivative of -8 + 38/9*n**3 - 5/3*n**5 + 4*n**2 + n + 0*n**4. Determine y, given that g(y) = 0.
-3/5, -2/5, 1
Let x(h) be the first derivative of -h**6/33 - 128*h**5/55 - 668*h**4/11 - 6656*h**3/11 - 24336*h**2/11 - 2597. Let x(k) = 0. Calculate k.
-26, -6, 0
Let -1/4*x**3 + 12 - 29/4*x - 9/2*x**2 = 0. What is x?
-16, -3, 1
Let i be (1 - -1)/(3 + -2). Let s(o) = o - 4. Let u be s(7). Factor -w**3 - 1 - 7*w - w**i - 1 - w**2 + 4*w**u.
(w - 2)*(w + 1)*(3*w + 1)
Let s be (30/48 + 1184/(-256))*1*2/(-36). Solve -8/9*h + s*h**2 + 8/9 = 0 for h.
2
Let w(h) = -39*h**4 + 303*h**3 + 12*h**2 - 1158*h - 36. Let m(b) = -2*b**4 + b**3 - b - 2. Let s(l) = 18*m(l) - w(l). Determine o so that s(o) = 0.
-2, 0, 2, 95
Let 8/11*o**2 + 2232/11*o - 2/11*o**3 + 25920/11 = 0. Calculate o.
-18, 40
Let u(p) be the second derivative of 2304/5*p**2 + 10/3*p**4 + 1/25*p**5 + 0 - 266*p + 448/5*p**3. Factor u(n).
4*(n + 2)*(n + 24)**2/5
Suppose -3*j + 2 = -16. Find o such that -j - 35*o**2 + 10423*o**3 - 70*o - 10428*o**3 - 34 = 0.
-4, -2, -1
Determine x so that 13910/3*x + 5/3*x**2 + 9674405/3 = 0.
-1391
Let c(n) = 89 + 3 + 91 - 28 + 24 - 8*n. Let f be c(22). Factor 4/5*u**4 + 0 + 0*u**f - 4/5*u**2 + 0*u.
4*u**2*(u - 1)*(u + 1)/5
Let d(r) = -r**2 - r - 1. Let m(f) = 10*f**3 - 31*f - 15*f**3 + 3*f**3 + 94 + 5*f. Let v = 29 + -73. Let p(q) = v*d(q) - 2*m(q). Let p(k) = 0. What is k?
-6, 1
Let m(h) = 31*h**2 - 88*h + 471. Let q(g) = 7*g**2 - 22*g + 118. Let b(c) = 8*m(c) - 36*q(c). Find k, given that b(k) = 0.
10, 12
Let k = 2061 - 2059. Let c(u) be the second derivative of 1/42*u**7 + 0*u**5 + 0 + 0*u**4 + 0*u**3 + 0*u**k - 1/15*u**6 + 11*u. Let c(g) = 0. Calculate g.
0, 2
Let r(g) = 14*g + 80. Let h be r(-5). Find k, given that -2*k**3 - h*k - 3*k**2 - 4*k**3 + 2*k**3 + 5*k**3 = 0.
-2, 0, 5
What is w in -3/4*w**3 - 21/4*w + 0 + 6*w**2 = 0?
0, 1, 