y**3 + 1/1344*y**8 - 1/210*y**7 - 165*y + 1/60*y**5 + y**2 - 1/80*y**6 + 0 + 5/96*y**4. Factor a(b).
b*(b - 5)*(b - 1)*(b + 1)**2/4
Let g = 66490/18799 + 170/1709. Find l, given that 200/11*l**2 + g*l + 2/11 = 0.
-1/10
Let n(u) be the second derivative of u**6/75 + 9*u**5/50 + 23*u**4/30 + u**3 - 5321*u. Factor n(f).
2*f*(f + 1)*(f + 3)*(f + 5)/5
Let u(d) be the second derivative of -d**7/21 + 2*d**5/5 + d**4/3 - d**3 - 2*d**2 + 82*d + 3. Factor u(n).
-2*(n - 2)*(n - 1)*(n + 1)**3
Let k be (-2)/3 - (89300/(-987))/95. Factor -24/7*q + 0 + k*q**3 - 22/7*q**2.
2*q*(q - 12)*(q + 1)/7
Suppose -18 = -2*v + s, 2*s - 10 = -5*v + 26. Suppose 0 = -3*c - 5*x + 17, 0*c + 4*x = 3*c - v. Factor -51/2*y**3 - 63/2*y**2 - 33/2*y - 15/2*y**c - 3.
-3*(y + 1)**3*(5*y + 2)/2
Suppose -2*c - 5 = -5*p, 11*p - 5*c + 10 = 6*p. Let x be p/63*(27 - 18). Suppose 0 - 6/7*r - x*r**2 = 0. What is r?
-2, 0
Let -9*r**5 + 120 + 430*r + 5*r**5 - 20*r**5 + 305*r**4 - 75*r**2 - 750*r**3 + r**5 - 7*r**5 = 0. Calculate r.
-1/2, -1/3, 1, 4, 6
Let m(v) be the first derivative of 0*v - 3*v**2 - 10 + 8/3*v**3 - 1/2*v**4. Factor m(c).
-2*c*(c - 3)*(c - 1)
Let n(p) = -p**2 - 3. Let v(w) = w**2 - 2*w + 1. Let z(a) = -4*a + 11. Let b be z(2). Let r(o) = b*v(o) + n(o). Factor r(i).
2*i*(i - 3)
Let i(a) be the second derivative of a**4/12 + 128*a**3/3 + 254*a**2 - 9910*a. Determine r so that i(r) = 0.
-254, -2
Let j = 1/49291 + 8961/49291. Factor j*v**2 - 172/11*v + 3698/11.
2*(v - 43)**2/11
Let m(h) be the third derivative of -h**6/480 - 19*h**5/40 - 37*h**4/32 + 113*h**3/12 + 13*h**2 - 71. Factor m(c).
-(c - 1)*(c + 2)*(c + 113)/4
Let r = 1261532/3 + -420364. Factor 150 + 50/3*u**4 + 668/3*u**2 + r*u**3 - 440*u.
2*(u + 5)**2*(5*u - 3)**2/3
Factor -90*o**2 + 430*o**3 - 115*o - 161*o**2 + 502*o**2 - 71*o - 2*o**4 - 5*o**4.
-o*(o - 62)*(o + 1)*(7*o - 3)
Suppose 755 + 275 = -10*d. Let r = -101 - d. Factor 0*z**2 + 0*z**3 - z**5 + z**3 + z**r - z**4.
-z**2*(z - 1)*(z + 1)**2
Factor -45/4 - 1/8*w**2 + 47/8*w.
-(w - 45)*(w - 2)/8
Suppose 2*o + 4*c - 3042 = o, -2*o + 6045 = -5*c. Solve x**2 + o*x + 2*x**2 - 3045*x = 0 for x.
0, 5
Let l(g) = g**2 + 10*g - 10. Let k be l(4). Let -k*v - v**2 + 6 - 24*v + 75*v = 0. What is v?
-1, 6
Let q(n) be the second derivative of -n**6/45 + 1067*n**5/30 - 533*n**4/9 - 3*n + 133. Determine l, given that q(l) = 0.
0, 1, 1066
Let c(u) be the third derivative of u**6/780 + 2*u**5/15 + 49*u**4/39 + 64*u**3/13 + 12*u**2 - 17*u. Find n, given that c(n) = 0.
-48, -2
Suppose -3*g - 2*g + 2*x + 1076 = 0, -1084 = -5*g - 2*x. Let s be 12/15 - g/420. Factor s*w + 6/7*w**2 - 4/7.
2*(w + 1)*(3*w - 2)/7
Let f(q) be the first derivative of q**3/3 - 3*q**2/2 - 7*q - 7. Let g be f(5). Factor 5*o**3 + 8*o - 3*o**g - 12*o**2 + 2*o**2.
2*o*(o - 4)*(o - 1)
Suppose 44 = 4*q + 4*w, 11*q - 43 = 8*q - 5*w. Let v = 42 - 30. Factor -v - 2*g**2 + 5*g**2 + 15 - q*g.
3*(g - 1)**2
Let h(q) be the first derivative of -q**4 + 56*q**3/3 + 64*q**2 - 5311. Factor h(f).
-4*f*(f - 16)*(f + 2)
Let i be 4 - -1 - 0 - (-77)/(3311/(-215)). Solve -1/3*r**5 + 0*r**4 - 4*r - 4/3*r**2 + i + 3*r**3 = 0 for r.
-3, -1, 0, 2
Let b(v) = 6*v**3 - 333*v**2 + 163*v + 114. Let s be b(55). Factor -2/5*z**2 + 0 + 0*z**3 + 0*z + 2/5*z**s.
2*z**2*(z - 1)*(z + 1)/5
Let w(b) = 184*b**2 - 217346*b + 347507556. Let o(y) = 11*y**2 - 12785*y + 20441621. Let i(h) = 100*o(h) - 6*w(h). Factor i(j).
-4*(j - 3197)**2
Let o(f) be the third derivative of f**6/2340 - f**5/390 - 35*f**4/156 - 41*f**3 - 9*f**2. Let d(x) be the first derivative of o(x). Factor d(h).
2*(h - 7)*(h + 5)/13
Let p(n) be the third derivative of 3*n**5/20 + 965*n**4/8 - 161*n**3 - 1078*n**2 - 2*n. Find b, given that p(b) = 0.
-322, 1/3
Let o(l) = -8*l - 57. Let s be o(-7). Let j(c) = -7*c**3 - c**2 + 2*c + 1. Let i be j(s). Factor 0 + 0*p**4 + 0*p - 1/3*p**3 + 0*p**2 + 1/3*p**i.
p**3*(p - 1)*(p + 1)/3
Let x(z) = -57*z**2 - 33*z + 57. Let i(y) = 7*y**2 + 4*y - 7. Let j be -5*(-1)/2*(-360)/(-225). Let m(b) = j*x(b) + 33*i(b). Factor m(a).
3*(a - 1)*(a + 1)
Let v be 1053/(-2754) - 80/(-32). Let -v - 2/17*t**2 + 22/17*t = 0. What is t?
2, 9
Factor -5/2*d**2 + 8425/2*d + 8435.
-5*(d - 1687)*(d + 2)/2
Find g such that 521*g**2 + 521*g**2 - 1530*g**2 + 485*g**2 + 23952*g - 47808192 = 0.
3992
Let c(g) be the first derivative of g**4/2 + 3602*g**3 + 9730803*g**2 + 11683450802*g - 2957. What is f in c(f) = 0?
-1801
Let i(z) be the first derivative of 8*z**3 + 27 + 1/4*z**4 + 13/360*z**6 + 0*z**2 - 19/120*z**5 + 0*z. Let y(d) be the third derivative of i(d). Factor y(q).
(q - 1)*(13*q - 6)
Let h be (-1)/(-9*2/(-126)). Let g be h/56 - 104/(-320). Find o such that 1/10*o**4 - 1/5*o + 0*o**2 - 1/10 + g*o**3 = 0.
-1, 1
Let j(l) = 4*l - 24 + l - 13. Let x be j(8). Let -32*r - 55*r**3 - 2*r**5 + 17*r**x - 7*r**2 + 0*r**4 - 43*r**2 - 8 - 14*r**4 = 0. What is r?
-2, -1
Let y(z) = -z**2 + z + 1. Let o(w) = -2*w**2 - 24*w - 25. Suppose -5*t - 54*b + 20 = -55*b, 5*t = 2*b + 25. Let c(i) = t*y(i) - o(i). Find r such that c(r) = 0.
-1, 28
Let f = 4/351 - -21059/30888. Let d = f - -5/88. Factor -3/4 - d*h**2 + 3/2*h.
-3*(h - 1)**2/4
Let -681472/15 - 256/15*v**4 + 10568/15*v**3 - 635008/15*v + 2/15*v**5 - 24992/3*v**2 = 0. What is v?
-2, 44
Let n be (((-98)/(-4))/(-7))/((-77)/44). Let y(w) be the third derivative of 1/15*w**5 + 0 + 2/3*w**3 + 8*w**n - 1/3*w**4 + 0*w. Factor y(l).
4*(l - 1)**2
Suppose -5*a + 15 = 0, 5 - 13 = -i - a. Factor i*q**5 - 80*q + 80 - 848*q**2 + 80*q**3 + 808*q**2 + 5*q**4 - 40*q**4.
5*(q - 2)**4*(q + 1)
Let c = 29 - 26. Suppose -r - c*t = 3*r - 3, 3*t + 24 = 5*r. Factor 99 - 44*n + 12*n**r + 2*n**4 - 123 + 2*n**4 - 12*n**2.
4*(n - 2)*(n + 1)**2*(n + 3)
Let t(k) = -k**3 + k**2 + 71*k. Let q(l) = -6*l**3 + 178*l**2 - 918*l + 888. Let s(c) = -q(c) + 2*t(c). Let s(v) = 0. What is v?
1, 6, 37
Let v = -656 - -658. Suppose -v*m + 3*i = -2 - 13, 4*m = -4*i - 20. Factor m*r - 1/3*r**3 + 2*r**2 + 0.
-r**2*(r - 6)/3
Factor 119455260*g + 5*g**3 - 22340*g**2 - 4066*g**2 - 112367581240 - 22999*g**2 + 7075*g**2.
5*(g - 2822)**3
Let u(w) be the second derivative of -w**5/180 - w**4/72 + 22*w**2 - 30*w + 1. Let j(q) be the first derivative of u(q). Solve j(d) = 0 for d.
-1, 0
Suppose u - 10 + 8 = 0. Factor 2*o**u - 107*o - 6*o**3 + 103*o + 8*o**2.
-2*o*(o - 1)*(3*o - 2)
Let b(f) be the second derivative of 0*f**2 + 0*f**4 + 2*f + 0*f**3 - 3/20*f**5 - 1/30*f**6 + 0. Determine q, given that b(q) = 0.
-3, 0
Let b(i) = 2*i**4 + 5*i**3 + 12*i**2 - 9. Let z(u) = 5*u**4 + 12*u**3 + 36*u**2 - 24. Let l(x) = 8*b(x) - 3*z(x). Factor l(y).
y**2*(y - 2)*(y + 6)
Suppose -p + 80 = -2*c, -3*p - 19*c + 49 = -91. Suppose -7/4*n**5 - p*n + 16 + 53*n**2 - 33/4*n**4 + 13*n**3 = 0. Calculate n.
-4, 2/7, 1, 2
Let d(b) = 3*b**3 + 59*b**2 - 28*b - 90. Let o be d(-20). What is k in -4*k**2 - 210*k + 48*k + 52*k - 100 + o*k = 0?
-5
Let d(i) be the third derivative of 63*i**2 + 0 + 1/60*i**5 + 8/3*i**3 - 1/3*i**4 + 0*i. Find s such that d(s) = 0.
4
Let o(p) be the first derivative of -10 + 0*p**4 + 0*p**3 + 0*p**5 - p**2 + 1/30*p**6 + 0*p. Let s(b) be the second derivative of o(b). Factor s(i).
4*i**3
Find h, given that 27/2*h**4 + 1374*h**2 + 234*h**3 + 3120*h + 2400 = 0.
-20/3, -2
Let t(j) be the first derivative of -j**4/8 + j**3/3 + 7*j**2/4 + 2*j - 1406. Solve t(i) = 0.
-1, 4
Solve -88/9*v - 8/3 - 14/9*v**4 + 2/9*v**2 + 52/9*v**3 = 0.
-1, -2/7, 2, 3
Let u = 39/10 - 151/40. Let t be 5 + -2 - (135/18)/3. Factor u + 3/8*z**2 + t*z.
(z + 1)*(3*z + 1)/8
Suppose -4*n + 31159 = -n - 5*t, 2*n + t - 20790 = 0. Factor 5*o**3 - 4268*o - o**3 + o**3 + n*o + 350*o**2.
5*o*(o + 35)**2
Suppose 0 = -x - 0*x - 9, 4*x + 559 - 529 = -3*k. Factor -25*n**k - 10*n - 125/6*n**3 - 4/3.
-(5*n + 2)**3/6
Let a(l) = 2296*l + 5. Let o be a(1). Factor 185*q**3 + q**4 - 406*q + 4*q**4 + 2340*q**2 + o*q + 8905*q + 8640.
5*(q + 1)*(q + 12)**3
Let v(k) be the first derivative of 3*k**5/25 + 21*k**4/10 + 57*k**3/5 + 114*k**2/5 + 96*k/5 + 499. Factor v(i).
3*(i + 1)**2*(i + 4)*(i + 8)/5
Let p be (-27)/(-126) + 38/532. Factor -p*t**2 - 12/7 + 10/7*t.
-2*(t - 3)*(t - 2)/7
Solve 3/7*k**3 + 334668/7 - 2001/7*k**2 + 332664/7*k = 0.
-1, 334
Let r(f) = -f**3 + 6*f**2 - 6*f + 13. Let o be r(5). Let i(b) be the first derivative of -26/3*b**3 