86)/3
Let a(l) be the first derivative of l**4/4 + 19*l**3/3 + 39*l**2 + 6387. Solve a(r) = 0.
-13, -6, 0
Let s(m) be the second derivative of -5*m**7/42 - 7*m**6/3 - 51*m**5/4 - 125*m**4/6 + 110*m**3/3 + 180*m**2 - 378*m. Factor s(i).
-5*(i - 1)*(i + 2)**3*(i + 9)
Let t(p) be the second derivative of p**7/28 - 11*p**6/20 + 117*p**5/40 - 41*p**4/8 - 8*p**3 + 45*p**2 - 3*p - 253. Determine j so that t(j) = 0.
-1, 2, 3, 5
Let p(n) = 4*n**2 + 14*n + 10. Let o(d) = d**3 - 13*d - 7. Let g be o(4). Let r(a) = -3*a**2 - 13*a - 10. Let w(f) = g*p(f) + 6*r(f). What is v in w(v) = 0?
-1, 5
Let k = 110 + -119. Let c be ((-21)/27 + 2/k)*-5. Find n, given that 4 - 2*n**3 + 18*n**2 - 59 + c - 30*n = 0.
-1, 5
Factor 100 + 335/2*g**2 + 5/2*g**4 + 465/2*g + 75/2*g**3.
5*(g + 1)**2*(g + 5)*(g + 8)/2
Solve 0*b - 3/2*b**4 - 57/2*b**3 - 51*b**2 + 0 = 0 for b.
-17, -2, 0
What is q in 188/9*q**2 + 1664/9*q - 13520/9 + 4/9*q**3 = 0?
-26, 5
Suppose -3*g - 9 = 0, r + g + 25 + 18 = 0. Let l be (4/(-5))/(10 - (-448)/r). Solve -2/15*p**2 + 0 - 8/15*p**4 - l*p**3 + 0*p = 0.
-1, -1/4, 0
Let o = 10865/4 + -2715. Let g(y) be the third derivative of 0*y + o*y**4 + 2*y**2 + 0 + 5/6*y**3 + 3/4*y**5. Factor g(t).
5*(3*t + 1)**2
Let v = -211/13 + 1701/104. Let g(p) be the third derivative of 0*p + v*p**5 + 0 + 0*p**3 - 1/160*p**6 - 3*p**2 - 25/32*p**4. Let g(z) = 0. What is z?
0, 5
Let y(u) = -2*u**3 + u**2 - 2*u - 1. Let t = 17 + -22. Let b(v) = v**3 + v**2 + v + 1. Let g(j) = t*y(j) - 5*b(j). Let g(d) = 0. Calculate d.
0, 1
Let q(p) = 2*p**3 + 2*p**2 - p. Let g(v) = -5*v**3 - 7*v**2 + 3*v + 3. Let w(t) = 2*g(t) + 4*q(t). Let w(b) = 0. What is b?
-3, -1, 1
Let g(n) be the third derivative of -n**5/60 + 1135*n**4/12 - 1288225*n**3/6 + 3013*n**2. Factor g(r).
-(r - 1135)**2
Let g(z) = 8*z**2 + z + 3. Let i be g(-1). Let b be (100/(-40))/(i/(-8)). Solve -2*w - 10*w**2 - w + 5*w**b - 2*w = 0.
-1, 0
What is i in 92*i**2 - 132*i + 4/3*i**5 - 8/3*i**3 - 38/3*i**4 + 54 = 0?
-3, 1, 3/2, 9
Solve 256/5 - 2/5*i**2 - 16/5*i = 0.
-16, 8
Factor -207*l - 4281*l + 1258884 - 5*l**2 + 3*l**2 + 6*l**2.
4*(l - 561)**2
Let x(q) be the first derivative of 2*q**3/3 + 752*q**2 + 282752*q + 2568. Factor x(o).
2*(o + 376)**2
Let i(a) be the third derivative of a**5/210 + 12*a**4/7 + 80*a**3/3 + 3579*a**2. Factor i(t).
2*(t + 4)*(t + 140)/7
Let f be (-9)/(-15)*(7 - 12/6). Find s, given that 8*s**4 + 17*s**3 + 35*s**3 - 24*s**f - 8*s**2 - 28*s**5 = 0.
-1, 0, 2/7, 1
Find k such that 2664*k**4 + k**5 + 0*k**5 - 23*k**3 - 12*k**2 - 1317*k**4 - 1357*k**4 = 0.
-1, 0, 12
Factor 2*l**2 + 502*l - 246*l - 252*l.
2*l*(l + 2)
Let g(t) be the second derivative of -27*t**2 - 3/2*t**4 - 1/10*t**5 - 9*t**3 + 0 + 25*t. Find y such that g(y) = 0.
-3
Let b(i) be the first derivative of i**7/168 + 7*i**6/72 - 17*i**5/24 + 15*i**4/8 - 29*i**3/3 - 48. Let v(u) be the third derivative of b(u). Solve v(q) = 0.
-9, 1
Let y be 14 + -36 + 1896/79. Factor -3/5*l**3 + 18/5*l**y + 27/5*l - 42/5.
-3*(l - 7)*(l - 1)*(l + 2)/5
Let g = 4/73231 + 659071/146462. Let 21/4*f + g + 0*f**2 - 3/4*f**3 = 0. Calculate f.
-2, -1, 3
Let p be -29 + 58 - 1*5. Suppose 28*x**2 - 47*x**2 - p - x**3 + 14*x + 20*x**2 = 0. What is x?
-4, 2, 3
Let g(h) be the second derivative of -2/15*h**6 - 6*h**3 + 0 + 0*h**2 - h**4 + 41*h + h**5. Factor g(c).
-4*c*(c - 3)**2*(c + 1)
Let w = -23390 + 23392. Let t(y) be the second derivative of 5/2*y**3 + 0 - 3*y - 5/4*y**4 + 1/4*y**5 - 5/2*y**w. Determine d, given that t(d) = 0.
1
Let x(u) be the first derivative of u**6/1260 - u**5/21 + 25*u**4/21 + 149*u**3/3 + 104. Let s(n) be the third derivative of x(n). Find j, given that s(j) = 0.
10
Let z(b) be the second derivative of 3*b**2 + 0 + 1/8*b**5 - 1/24*b**4 - 17/12*b**3 + 1/60*b**6 + 148*b. Let z(n) = 0. Calculate n.
-4, -3, 1
Let f(o) = 19*o**4 - 44*o**3 - 22*o**2 + 21*o + 72. Let a(n) = -5*n**4 + 11*n**3 + 5*n**2 - 5*n - 18. Let j(k) = -23*a(k) - 6*f(k). Suppose j(v) = 0. What is v?
-9, -2, -1, 1
Let c be 3735 - 3797 - 14296/(-6). Factor c - 236/3*j + 2/3*j**2.
2*(j - 59)**2/3
Let n(u) = 21*u + 17. Let a be n(14). Factor -311 - 5*c - 10*c**4 + 5*c**5 + a + 10*c**2.
5*c*(c - 1)**3*(c + 1)
Let b = 36758/9 - 4084. Let a(f) be the third derivative of 0*f + 961/180*f**5 + 31/18*f**4 + b*f**3 + 0 - 24*f**2. Factor a(d).
(31*d + 2)**2/3
Let x(m) be the third derivative of -m**7/2240 - m**6/48 + 11*m**5/80 + 7*m**3 - 116*m**2. Let l(w) be the first derivative of x(w). Factor l(k).
-3*k*(k - 2)*(k + 22)/8
Let 1849/4*c - 43/2*c**2 + 0 + 1/4*c**3 = 0. Calculate c.
0, 43
Suppose 0 = -2*j + 3*w + 138 + 36, 162 = 2*j + 3*w. Factor -2*o**4 + 20*o**3 - 14 - j*o + 80*o - 48*o**2 + 48*o.
-2*(o - 7)*(o - 1)**3
Let w(k) be the third derivative of -1/60*k**6 - 23/12*k**4 + 14/3*k**3 + 0 + 1/3*k**5 + 0*k - 32*k**2. Factor w(m).
-2*(m - 7)*(m - 2)*(m - 1)
Let j(d) be the second derivative of 0 + 20/3*d**4 + 78*d**3 + 60*d + 1/5*d**5 + 324*d**2. Find m, given that j(m) = 0.
-9, -2
Let f = 4733/35 + -1853/35. Factor -1/7*h**2 - f + 48/7*h.
-(h - 24)**2/7
Factor g**4 - 2888*g**2 - 5314 - 7296*g + 277 - 90*g**3 - 5*g**4 + 429 - 114*g**3.
-4*(g + 1)*(g + 2)*(g + 24)**2
Let a(i) be the second derivative of i**6/20 + 39*i**5/40 - 6*i**4 - 2*i - 1289. Let a(g) = 0. What is g?
-16, 0, 3
Suppose 0 = 251*g - 239*g + 60. Let s be (g/(-2) - 2)/(5/12). Solve 0 + 3/5*w**3 - 9/5*w + s*w**2 = 0 for w.
-3, 0, 1
Let j(d) be the third derivative of d**7/70 - d**6/10 - 13*d**5/20 + 5*d**4 + 24*d**3 + 2*d**2 + 1702*d. Suppose j(p) = 0. Calculate p.
-3, -1, 4
Let k(z) be the third derivative of -z**5/15 - 163*z**4/6 - 108*z**3 + 30*z**2 + 7*z. Solve k(x) = 0.
-162, -1
Let y(l) = -5*l**2 - 2*l + 2. Let b(a) = -888*a**2 + 36*a - 42. Let g(o) = -b(o) - 21*y(o). Suppose g(x) = 0. Calculate x.
-2/331, 0
Let -27/4*i**2 + 21/2*i - 9/2*i**3 + 0 + 3/4*i**4 = 0. Calculate i.
-2, 0, 1, 7
Let w(a) be the second derivative of 2*a**6/75 + 3*a**5/25 - 13*a**4/15 - 2*a**3 + 608*a. Solve w(s) = 0.
-5, -1, 0, 3
Let f be ((-6)/(-27))/((6/(-27))/((-4)/13)). Factor f*g**2 - 2/13*g**4 - 2/13*g**5 + 4/13*g**3 - 2/13 - 2/13*g.
-2*(g - 1)**2*(g + 1)**3/13
Let l(m) = m**2 + m - 1. Let q(x) = 9*x + 42. Let f be q(-5). Let v be l(f). What is g in -3*g**3 + g**5 + 2*g**2 + 0*g**v + 0*g**5 = 0?
-2, 0, 1
Let s(l) be the second derivative of l**8/5880 - 3*l**7/980 - l**6/126 - 11*l**3/3 - l - 11. Let h(t) be the second derivative of s(t). Factor h(x).
2*x**2*(x - 10)*(x + 1)/7
Let a(m) be the third derivative of m**5/240 - 13*m**4/12 - 35*m**3/8 + 2*m**2 - m - 1423. What is v in a(v) = 0?
-1, 105
Let q(y) be the second derivative of -3*y**5/100 + 34*y**4/5 + 229*y**3/2 + 1512*y**2/5 + 7031*y. Factor q(j).
-3*(j - 144)*(j + 1)*(j + 7)/5
Let y = 91694 - 91692. Let -64/5*u + 1/5*u**y + 1024/5 = 0. What is u?
32
Factor -3/2*x**4 - 2201850*x**2 + 3147*x**3 - 1024596297/2 + 514496853*x.
-3*(x - 699)**3*(x - 1)/2
Let q(l) be the third derivative of 2/15*l**5 + 1/84*l**8 + 1/3*l**6 - 7*l**2 + 10/3*l**3 + 1 + 0*l - 2/15*l**7 - 11/6*l**4. Factor q(x).
4*(x - 5)*(x - 1)**3*(x + 1)
Let f(m) be the third derivative of -m**5/360 + 25*m**4/16 + 227*m**3/18 - 561*m**2 - m. Solve f(w) = 0 for w.
-2, 227
Let g be ((-36)/(14112/280))/(1/(-5)). Let -g - 265/7*d**3 + 85/7*d - 144/7*d**5 + 109/7*d**2 - 408/7*d**4 = 0. What is d?
-5/4, -1, 1/3
Let i(p) be the first derivative of p**3/3 - 151*p**2/2 - 975. Let i(z) = 0. Calculate z.
0, 151
Let f(a) be the second derivative of 5*a**7/42 + 20*a**6 + 1274*a**5 + 216265*a**4/6 + 691345*a**3/2 - 1266325*a**2 + 44*a - 48. Let f(l) = 0. Calculate l.
-37, -10, 1
Let d(j) = -j**2 - 40*j + 692. Let b be d(13). Let q(a) be the third derivative of 0*a**b + 1/75*a**5 + 1/15*a**4 + 0*a + 0 - 1/150*a**6 + 15*a**2. Factor q(r).
-4*r*(r - 2)*(r + 1)/5
Let t(h) = -h**5 + 21*h**4 + 16*h**3 - 42*h**2 - 43*h + 7. Let x(y) = 2*y**4 + 3*y**3 + y**2 + y - 1. Let u(n) = 2*t(n) + 14*x(n). Determine v so that u(v) = 0.
-1, 0, 1, 36
Let o = 304 + -306. Let i be (-2)/10*o*(-10)/(-8). Factor i*h**2 + 9/2 + 3*h.
(h + 3)**2/2
Suppose 2*v + 5*i + 6 = 0, -4*v + 5*i = 963 - 981. What is d in 0 - 1/8*d**v + 1/4*d = 0?
0, 2
Let q(a) be the first derivative of 4/15*a**3 + 3/5*a**2 + 0*a + 22 - 1/10*a**4. Factor q(n).
-2*n*(n - 3)*(n + 1)/5
Let j(v) = 