) = -d**2 + d + 71. Let a(c) = -4*c**2 - 1682*c + 2041. Let l(g) = 3*a(g) - 15*u(g). What is t in l(t) = 0?
1, 1686
Solve 12*m**2 + 0*m**2 - 1445*m - 4115*m - 30*m**2 + 20*m**2 + 3864200 = 0 for m.
1390
Let a be (-27434)/(-3045) + 1/(1/(-9)). Let d(i) be the second derivative of -1/42*i**4 + 0 + 0*i**2 + 10*i - a*i**6 + 0*i**3 + 1/35*i**5. Factor d(x).
-2*x**2*(x - 1)**2/7
Suppose 5*d = -4*l + 10, 6*l - 3*l = 3*d + 21. Let f(p) = p**2 - p. Let o(a) = 5*a**2 - 14*a - 5. Let x(h) = l*o(h) - 35*f(h). Determine w, given that x(w) = 0.
-5/2, -1
Suppose -5*n - 34 = -i, -4*n - 2 = 10. Find h, given that 108*h**2 + 68*h + 15*h**3 - i*h**3 - 24 + 20*h**3 = 0.
-6, -1, 1/4
Let u(m) be the second derivative of -m**5/8 - 35*m**4/6 + 575*m**3/3 - 1000*m**2 + 541*m + 2. Factor u(d).
-5*(d - 10)*(d - 2)*(d + 40)/2
Let g(l) = 7*l**4 - 18*l**3 - 13*l**2 + 52*l + 38. Let v(d) = 15*d**4 - 35*d**3 - 25*d**2 + 105*d + 75. Let y(q) = 5*g(q) - 2*v(q). Let y(w) = 0. What is w?
-1, 2, 4
Let l(r) be the third derivative of r**6/120 + r**5/20 - 34*r**3/3 - 38*r**2. Let y(q) be the first derivative of l(q). Factor y(s).
3*s*(s + 2)
Let n(z) = -6*z + 51. Let x be n(8). Let s(m) = -m**3 + 3*m**2 + 3*m - 5. Let f be s(x). Factor -8/3*k + 16/3*k**3 + f*k**2 - 16/3*k**4 - 4/3.
-4*(k - 1)**2*(2*k + 1)**2/3
Let k(v) = -4*v**3 - 8*v**2 - 10*v. Let g be k(-3). Let t be -4 + 0 - (-276)/g. Let -2/11*q**2 - t - 4/11*q = 0. Calculate q.
-1
Let t(v) = 2*v - 60. Let g be t(-9). Let w = g - -250/3. Factor 4/3*o**2 + 0*o - w.
4*(o - 2)*(o + 2)/3
Let n be 5/15*72/2. Factor -i**5 - 46*i**2 + n*i**3 + 18*i**2 + 9*i + i**4 + 7*i.
-i*(i - 2)**2*(i - 1)*(i + 4)
Let v(g) be the third derivative of g**8/112 - g**7/10 + 3*g**6/40 + 43*g**5/20 - 7*g**4/2 - 30*g**3 - 218*g**2. Let v(b) = 0. Calculate b.
-2, -1, 2, 3, 5
Let t(r) be the third derivative of -5*r**8/84 - 37*r**7/210 + r**6/20 + 2*r**5/3 + 7*r**4/12 - r**3/2 + 396*r**2. Factor t(z).
-(z - 1)*(z + 1)**3*(20*z - 3)
Suppose -14*y + 10*y - 11*y + 75 = 0. Let i(p) be the second derivative of 0*p**3 + 1/80*p**y - 1/16*p**4 + 1/2*p**2 + 4*p + 0. Suppose i(o) = 0. Calculate o.
-1, 2
Let h(o) be the second derivative of -o**8/1344 + o**7/56 - 7*o**6/72 - o**4/12 + 17*o**2 + 86*o. Let v(d) be the third derivative of h(d). Factor v(j).
-5*j*(j - 7)*(j - 2)
Let w = 171158/105 + -901/35. Let d = -1604 + w. Solve 0*a**3 + 0 - a**2 + 2/3*a + d*a**4 = 0.
-2, 0, 1
Suppose 15132*l = 15135*l. Let n(v) be the first derivative of l*v - 2 - 5/3*v**3 + 10*v**2. Factor n(a).
-5*a*(a - 4)
Let m = 393 - 368. Let u(n) = n**2 + 39*n + 116. Let q(p) = 5*p**2 + 155*p + 465. Let f(t) = m*u(t) - 6*q(t). Factor f(j).
-5*(j - 11)*(j + 2)
Factor -208 - 176 - 68*b - 3*b - 27*b + 2*b**2 + 72.
2*(b - 52)*(b + 3)
Let o(f) be the second derivative of f**5/20 + 9*f**4/4 - 29*f**3/6 - 13*f**2 - 97*f. Let v be o(-28). Determine y so that 0 + 0*y**v + 0*y + 3/5*y**3 = 0.
0
Let m(i) be the third derivative of i**7/525 + 11*i**6/100 + 29*i**5/25 - 52*i**4/15 + 5278*i**2 + 2. Factor m(g).
2*g*(g - 1)*(g + 8)*(g + 26)/5
Let g(w) be the first derivative of w**4 - 112*w**3/3 - 58*w**2 - 951. Factor g(j).
4*j*(j - 29)*(j + 1)
Let p(d) be the first derivative of 101 - 3/28*d**4 + 1/7*d**3 - 48*d + 60/7*d**2. Determine a so that p(a) = 0.
-7, 4
Let n(a) be the third derivative of -35*a**2 + a**4 + 7/60*a**6 + 2 + 4/5*a**5 + 0*a - 16/3*a**3. Factor n(y).
2*(y + 2)**2*(7*y - 4)
Let k(q) be the third derivative of 1/420*q**6 + 11/84*q**4 + 152*q**2 + 0 + 1/30*q**5 + 5/21*q**3 + 0*q. Find v, given that k(v) = 0.
-5, -1
Let p(t) = 8*t + 18. Let s be p(-2). Suppose v + 7 = 2*o + 6, 10 = 2*o + s*v. Factor 5*j**o - 4*j**4 - 16*j + 8*j**4 - 24*j**3 + 31*j**2.
4*j*(j - 4)*(j - 1)**2
Let s(h) be the third derivative of h**8/84 - 332*h**7/105 + 3188*h**6/15 + 8464*h**5/3 + 43688*h**4/3 + 118336*h**3/3 + h**2 + 64. Factor s(d).
4*(d - 86)**2*(d + 2)**3
Let k = -55671/4 - -13921. Let h(l) be the second derivative of -3*l**2 - 8*l - 3/20*l**5 + k*l**4 - 11/10*l**6 + 0 + 5/2*l**3 - 2/7*l**7. Solve h(b) = 0.
-2, -1, 1/4, 1
Solve 659733/5*p**2 - 3/5*p**5 - 921/5*p**4 - 13281*p**3 - 229416*p - 374460 = 0.
-158, -1, 5
Let u = -3 - -33. Let d = -28 + u. What is k in -1 - 2 - 2*k**2 - 5*k + 1 - k**3 - 2*k**d = 0?
-2, -1
Determine u, given that 320*u + 1449734*u**2 - 36*u**3 - 1449750*u**2 + 4*u**4 - 44*u**3 = 0.
-2, 0, 2, 20
Let x(k) be the third derivative of 3 + 4/15*k**6 + 0*k - 1/42*k**8 + 10/3*k**3 + 3*k**4 - 2/35*k**7 + 20*k**2 + 22/15*k**5. Solve x(s) = 0 for s.
-1, 5/2
Factor 0*y**3 + 213*y + 7718*y**2 + 0 - 7655*y**2 + 72 + 81 + 3*y**3.
3*(y + 1)*(y + 3)*(y + 17)
Let t(q) be the third derivative of -q**5/140 + 3*q**4/14 - 10*q**3/7 + 2088*q**2 + 2. Factor t(g).
-3*(g - 10)*(g - 2)/7
Let a be ((-4)/42)/(7 + 1 + 196/(-24)). Let j(k) be the first derivative of -a*k + 6/7*k**2 - 5/28*k**4 + 2 - 1/7*k**3. Factor j(c).
-(c - 1)*(c + 2)*(5*c - 2)/7
Let y(w) be the second derivative of 3*w - 1/42*w**4 + 0 + 1/140*w**5 + 0*w**3 + 1/210*w**6 + 0*w**2. Factor y(c).
c**2*(c - 1)*(c + 2)/7
Let p(u) be the second derivative of 30*u - 2*u**3 + 0*u**4 + 1/20*u**5 + 8*u**2 - 3. Factor p(k).
(k - 2)**2*(k + 4)
Let s(t) be the second derivative of t**9/5040 + 11*t**8/6720 + t**7/210 + t**6/180 - 79*t**4/12 + 21*t. Let v(i) be the third derivative of s(i). Factor v(f).
f*(f + 1)*(f + 2)*(3*f + 2)
Let g(r) be the third derivative of -r**8/4200 + r**7/350 + r**6/900 - r**5/50 - 91*r**3/6 - 4*r**2. Let w(z) be the first derivative of g(z). Factor w(p).
-2*p*(p - 6)*(p - 1)*(p + 1)/5
Let p(v) be the third derivative of 5*v**8/56 + 68*v**7/105 + 46*v**6/25 + 41*v**5/15 + 47*v**4/20 + 6*v**3/5 + 13*v**2 - 11*v. Determine i so that p(i) = 0.
-2, -1, -3/5, -1/3
Factor 54*m**2 + m**3 - 5892 + 4324 + 835*m - 163*m.
(m - 2)*(m + 28)**2
Let q(h) = -261*h - 34972. Let c be q(-134). Find z such that 25/6*z**3 - 65/3*z**c - 5 + 175/6*z = 0.
1/5, 2, 3
Suppose -v - 3 = -6. Suppose 6*q - v*q - 11 = -5*h, -3*q = -5*h - 1. Let -4*k**5 - 2/3*k + 0 - 14/3*k**q - 34/3*k**3 - 34/3*k**4 = 0. Calculate k.
-1, -1/2, -1/3, 0
Let r(n) be the third derivative of -n**7/168 + n**6/96 + n**5/48 - 5*n**4/96 + 786*n**2. Determine g, given that r(g) = 0.
-1, 0, 1
Let w(g) be the third derivative of -g**7/840 + g**6/60 - g**5/10 + g**4/24 - 24*g**3 + 137*g**2. Let h(b) be the second derivative of w(b). Factor h(m).
-3*(m - 2)**2
Let v(m) be the third derivative of -m**5/240 + 7*m**4/24 + 29*m**3/24 - 1276*m**2 + 2*m. Find c, given that v(c) = 0.
-1, 29
Let x be (-7738)/(-424) - -1*(-20 - -5). Factor 35/4*z**2 - 49/4*z**3 + x*z + 1/4.
-(z - 1)*(7*z + 1)**2/4
Suppose -t = -4*v - v - 978, 0 = 4*v. Let x = -10756/11 + t. Find i such that -4/11*i**3 + 4/11*i + 1/11*i**4 + x*i**2 - 3/11 = 0.
-1, 1, 3
Let w(l) be the first derivative of 3*l**5/20 + 87*l**4/4 - 117*l**3/4 - 5186. Factor w(h).
3*h**2*(h - 1)*(h + 117)/4
Let x(k) be the third derivative of 49*k**2 + 0*k**3 + 0*k + 0 - 1/60*k**6 - 1/15*k**5 + 0*k**4 + 1/35*k**7. Factor x(p).
2*p**2*(p - 1)*(3*p + 2)
Let -2356/7*w**2 + 8664/7*w + 0 - 4/7*w**4 + 176/7*w**3 = 0. What is w?
0, 6, 19
Let d = -12140 + 12145. Let o(i) be the third derivative of 1/60*i**d + 4/3*i**3 + 0 + 0*i - 27*i**2 + 3/8*i**4. Solve o(g) = 0 for g.
-8, -1
Suppose 900*l**3 - 29*l**4 + 8*l**4 + 5*l**5 - 186*l**4 + 62*l**4 = 0. What is l?
0, 9, 20
Let m(f) = -10*f**4 - 164*f**2 + 384*f + 550. Let v(w) = -17*w**4 + w**3 - 329*w**2 + 767*w + 1100. Let i(b) = 7*m(b) - 4*v(b). Suppose i(s) = 0. Calculate s.
-11, -1, 5
Let x = -3/290 - -16/145. Let r(u) be the third derivative of 7/300*u**5 - 12*u**2 + 0*u - 7/60*u**4 + x*u**3 + 0 + 1/150*u**6. Factor r(f).
(f - 1)*(f + 3)*(4*f - 1)/5
Determine t, given that 3/5*t**2 + 0 + 1263/5*t = 0.
-421, 0
Let n(g) = -2*g**2 + 622*g - 49988. Let m(c) = -c**2 + 312*c - 24988. Let v(k) = -5*m(k) + 2*n(k). Find s such that v(s) = 0.
158
Let c(d) = -2*d**5 - d**4 + d**2 - 2*d + 1. Let n(v) = -5*v**5 - 52*v**4 - 3*v**3 + 52*v**2 - 8*v + 4. Let u(g) = -4*c(g) + n(g). Find q, given that u(q) = 0.
-1, 0, 1, 16
Suppose 37*s - 3 = 36*s. Factor 50*d**3 + 48*d**3 + 1748*d - 94*d**s + 160*d**2 + 2888.
4*(d + 2)*(d + 19)**2
Let h = -1271839/3 + 423949. Let -h + 2*d + 2/3*d**2 = 0. Calculate d.
-4, 1
Let u(q) be the fi