**2 - 342/7*l = 0. What is l?
171
Let m(o) be the second derivative of o**4/6 - 4*o**3/3 - 12*o**2 + 13*o - 5. Factor m(a).
2*(a - 6)*(a + 2)
Let n be (-3)/(-4) - ((-115)/(-20) + -7). Factor 32*l**2 - 28*l**n - 7*l**2 - 3*l.
-3*l*(l + 1)
Let o be (1/(-3) - 8/12)*-27. Let r be 252/o - (-1)/(-3). Factor 4*h - r*h + 0*h - 5*h + 5*h**2.
5*h*(h - 2)
Let u(i) = i**2 + 2925*i - 70774. Let k be u(24). Factor -5/2*a**k + 25/2*a + 15.
-5*(a - 6)*(a + 1)/2
Let a(w) be the third derivative of -w**8/13440 + w**7/5040 + w**6/720 - w**4/6 + w**3/2 - 3*w**2 - 3*w. Let t(q) be the second derivative of a(q). Factor t(v).
-v*(v - 2)*(v + 1)/2
Let d(m) be the second derivative of -m**5/90 - m**4/18 + 46*m**3/27 + 16*m**2/3 + m + 70. Factor d(z).
-2*(z - 6)*(z + 1)*(z + 8)/9
Let t = 2742 - 2738. Let o(c) be the first derivative of 1/3*c**t - 15 + 10/3*c**3 - 8/3*c + 4/3*c**2 - 2/3*c**5. Determine q, given that o(q) = 0.
-1, 2/5, 2
Let s(p) be the second derivative of -p**5/150 - 19*p**4/30 - 22*p**3/9 + 195*p - 2. Factor s(v).
-2*v*(v + 2)*(v + 55)/15
What is l in -39/4*l**3 + 6 + 3*l - 27/2*l**2 + 3*l**4 + 9/4*l**5 = 0?
-2, -1, 2/3, 2
Let h be ((9/(-12))/(-3))/((-39)/(-195)). Let i(v) be the second derivative of 0 - 34*v - 5*v**2 - h*v**4 + 35/6*v**3. Factor i(t).
-5*(t - 2)*(3*t - 1)
Let m = -618 - -1801. Let r be ((-13)/m - 4/(-26))*4. Suppose 0 + 4/7*n**5 - 16/7*n**4 - 16/7*n**2 + r*n + 24/7*n**3 = 0. Calculate n.
0, 1
Let n(q) be the first derivative of q**5/60 - 5*q**4/144 + 3*q**2/2 - 6*q + 155. Let w(l) be the second derivative of n(l). Let w(y) = 0. Calculate y.
0, 5/6
Factor -43832*g + 43817*g - 372*g**2 + 375*g**2 - 1932.
3*(g - 28)*(g + 23)
Let g(k) = -k**3 + 8*k**2 - 10*k + 6. Let y be g(6). Let c be y + (-4)/(-4) + 1. Suppose c*q**2 - q**3 - 39*q**3 - 76*q**4 - 29*q**4 = 0. What is q?
-2/3, 0, 2/7
Let d(p) be the second derivative of 3*p**4/2 + 14*p**3/3 + 5*p**2 - 478*p. Determine t so that d(t) = 0.
-1, -5/9
Let l(y) = 2*y**3 - 11*y**2 - 5*y. Let n(p) = p**3 - 6*p**2 - 3*p. Suppose -190 = 2*x - 64. Let f = 60 + x. Let m(c) = f*l(c) + 5*n(c). Factor m(t).
-t**2*(t - 3)
Let i(f) be the first derivative of -3*f**6/5 - 13*f**5/2 - 7*f**4/3 - 104*f - 50. Let k(n) be the first derivative of i(n). Suppose k(h) = 0. Calculate h.
-7, -2/9, 0
Let t(d) = -30*d**4 + 340*d**3 - 435*d**2 + 105*d. Let b(g) = -5*g**4 + 57*g**3 - 72*g**2 + 18*g. Let l(c) = -35*b(c) + 6*t(c). Suppose l(q) = 0. Calculate q.
0, 3, 6
Let h be 3 - (1 + 3)*-13. Suppose -6*x - 5*x + h = 0. Factor 60 + 27*i**2 + 6*i**3 - x*i**3 - 2*i**3 - 72*i - 2*i**3.
-3*(i - 5)*(i - 2)**2
Let n(h) be the third derivative of h**5/210 + 338*h**4/21 + 456976*h**3/21 - 12*h**2 - 89. Suppose n(o) = 0. What is o?
-676
Let s = 3231807/5 - 646361. Let a(v) = v**2 - 6*v + 5. Let f be a(5). Determine n so that 0*n**2 + f + 2/5*n**3 + 0*n + s*n**4 = 0.
-1, 0
Suppose 35 = -5*i - 25. Let x be (-15)/i*24/15. Factor 98/13 + 28/13*y + 2/13*y**x.
2*(y + 7)**2/13
Let q be ((-2)/(-84))/(481/(-2886))*-21. Let -2/9*l**4 - 2/9*l**q + 0*l + 0 + 4/9*l**2 = 0. Calculate l.
-2, 0, 1
Let q(j) be the second derivative of j**8/1008 + j**7/315 - j**5/90 - j**4/72 + 7*j**2/2 + 81*j. Let f(w) be the first derivative of q(w). Factor f(p).
p*(p - 1)*(p + 1)**3/3
Let i = 3727/4 + -1863/2. Let x be 32/(-48) - (1/3 + -1). Let i*y**3 - 3/2*y + 1/4*y**2 + x = 0. Calculate y.
-3, 0, 2
Determine h so that 23/2 - 13/4*h**2 + 297/4*h = 0.
-2/13, 23
Suppose -329*u**4 + 8*u**3 - 344*u**4 - 26*u**2 + 20 + 693*u**4 - 14*u**2 - 4*u**5 - 4*u = 0. Calculate u.
-1, 1, 5
Let s(r) be the first derivative of r**4/12 + 272*r**3/9 - r**2/6 - 272*r/3 - 4752. Factor s(z).
(z - 1)*(z + 1)*(z + 272)/3
Let c = 628 + -582. Suppose -2*x**2 + 1140*x - 152*x**3 + c*x**2 - 225*x**2 - 16*x**4 - 900 + 60*x**2 = 0. What is x?
-6, 5/4
Let d(n) = n**3 + 32*n**2 + 87*n. Suppose 67*h + 795 + 1148 = 0. Let q be d(h). Determine m so that -3/5*m**2 + 12/5 + q*m = 0.
-2, 2
Find u, given that 1973*u**3 - 6*u**2 - 2009*u**3 - 3*u**2 + 13*u**2 + 32*u**4 = 0.
0, 1/8, 1
Let n(w) be the first derivative of -w**4/16 - 23*w**3/12 + 3*w**2 + 1338. Factor n(t).
-t*(t - 1)*(t + 24)/4
Factor 224*o + 2*o**3 + 0*o**3 + 2*o**3 - 201*o**2 + 261*o**2.
4*o*(o + 7)*(o + 8)
Let o(f) = -2*f**2 - 3*f + 4*f + 90*f**4 - 89*f**4 + f**3. Let r(k) = 42*k**4 + 51*k**3 - 18*k**2 + 15*k. Let g(x) = 15*o(x) - r(x). Find a such that g(a) = 0.
-2/3, 0
Determine p, given that 0*p**4 + 13 + 4*p**3 + p**4 - 410*p + 398*p - 14*p**2 + 8*p**3 = 0.
-13, -1, 1
Let s(i) = 9*i + 25. Let j be s(-3). Let q be (0 - 0) + -8*j/8. Factor 3/8*c**q - 3/4 + 7/8*c.
(c + 3)*(3*c - 2)/8
Let o(q) be the first derivative of 1/12*q**3 + 281 + 1/8*q**2 - 3/2*q. Factor o(i).
(i - 2)*(i + 3)/4
Let x = 23 - 20. Suppose 109 - 121 = -x*u. Solve 10*q - u*q**4 + 4*q**3 - 3*q**4 + 2*q**2 + 41*q**2 + 22*q**3 = 0.
-1, -2/7, 0, 5
Let -9/2*r**2 - 6 + 5*r**3 - 121/2*r = 0. Calculate r.
-3, -1/10, 4
Let w(j) = 2*j + 2. Let o be w(1). Let c be o + -6 + 3 + 0 + 2. Factor -3*z + 14*z**3 + 12*z + 7*z**c + 3*z**2 + 33*z**2 - 6.
3*(z + 1)**2*(7*z - 2)
Let b(l) be the second derivative of 3*l**5/20 + 15*l**4/4 + 31*l**3 + 108*l**2 + 1208*l. Factor b(z).
3*(z + 2)*(z + 4)*(z + 9)
Factor 568516/5 + 4/5*i**2 + 3016/5*i.
4*(i + 377)**2/5
Let y(r) be the first derivative of 9*r**6/10 - 63*r**5/25 - 147*r**4/10 - 102*r**3/5 - 117*r**2/10 - 3*r - 803. Determine t so that y(t) = 0.
-1, -1/3, 5
Suppose -2*i + 0 - 3 = -z, 0 = -2*z - 4*i + 6. Suppose 4*f = z*l + 87, 0 = 4*f + 2*l - 41 - 21. Factor -y**2 - f + 3 + 2 - 14*y.
-(y + 1)*(y + 13)
Let x(m) be the third derivative of 0*m**3 + 1/840*m**7 + 7/48*m**4 - 49*m**2 + 1/48*m**6 + 23/240*m**5 + 0 + 0*m. Factor x(y).
y*(y + 1)*(y + 2)*(y + 7)/4
Let p(g) be the second derivative of -g**6/60 - 127*g**5/40 + 16*g**4/3 + 1639*g. Find b such that p(b) = 0.
-128, 0, 1
Let q(v) = -3*v**2 + 31*v - 62. Let y be q(3). Solve 1/6*x**y + x**2 + 0*x - 5/6*x**3 + 0 = 0 for x.
0, 2, 3
Let q = 47 - 43. Suppose -9*y - q = -11*y. Find f, given that -131 - 12*f**y + 18*f**3 + 3*f**5 - 12*f**4 + 131 + 3*f = 0.
0, 1
Suppose 123*h - 183 = 555. Let c(y) be the third derivative of 0*y**4 + 1/840*y**7 + 0 - 16*y**2 + 0*y**3 + 0*y - 1/60*y**5 + 0*y**h. Let c(a) = 0. What is a?
-2, 0, 2
Suppose 0 = -15*j + 10*j + 720. Let -56 + 16*d**3 - d**4 - 285*d**2 + 9 - j*d + 239*d**2 - 34 = 0. Calculate d.
-1, 9
Let p(f) = f**2 - 13*f - 66. Let g be p(17). Let s(y) = 5*y**2 - 8*y - 15. Let j(w) = -w. Let t(b) = g*j(b) + s(b). Factor t(m).
5*(m - 3)*(m + 1)
Let n(a) = 108*a**2 + 1558*a + 1460. Let j(w) = w**3 - 107*w**2 - 1554*w - 1461. Let h(b) = -4*j(b) - 6*n(b). Factor h(k).
-4*(k + 1)*(k + 27)**2
Factor -2840*s**3 + 96800 + 2586*s**2 + 2*s**4 + 342*s**2 + 2712*s**3 - 28160*s.
2*(s - 22)**2*(s - 10)**2
Let m = 4418/15 - 28646/105. Suppose -m*p - 4/7*p**4 + 52/7 - 40/7*p**3 + 144/7*p**2 = 0. What is p?
-13, 1
Let j be ((-132)/(-352))/(60/320). Factor 64/3*y - 2/9*y**j - 512.
-2*(y - 48)**2/9
Factor -4*a**2 + a - 194 + 5*a - 34 + 82*a.
-4*(a - 19)*(a - 3)
Factor -2/5*p**3 - 48/5*p**2 - 72*p - 864/5.
-2*(p + 6)**2*(p + 12)/5
Let l = 394809/7 + -56400. Suppose 36/7*d - 48/7*d**2 + l*d**3 + 3/7*d**4 + 0 = 0. What is d?
-6, 0, 1, 2
Let x(n) = -6*n**2 + n - 108. Let m be x(9). Let q be (9 - 1) + 4590/m. Factor 2/13*i**2 + q*i**3 - 2/13 - 2/13*i.
2*(i - 1)*(i + 1)**2/13
Let i(c) be the third derivative of 58*c**2 + 0*c - 135/2*c**3 + 0 - 15/4*c**4 - 1/12*c**5. Suppose i(n) = 0. Calculate n.
-9
Let i = -111 - -123. Factor 140*b - i*b**2 + b**3 - 117 + 317 + 34*b**2.
(b + 2)*(b + 10)**2
Let d = 34 - 30. Let t = d + 27. Let 4*h**2 - h**3 + 26*h + 2 - t*h + 0 = 0. What is h?
1, 2
Suppose -1935 = -850*h - 235. Let 16/17*b + 14/17*b**h - 24/17 = 0. What is b?
-2, 6/7
Let r be 747/(-63) + 11 - 7 - -13. Determine g so that -24/7*g**2 - 2/7*g**3 - 58/7*g - r = 0.
-9, -2, -1
Factor -2453*q + 5929 + 5073*q + q**2 - 2466*q.
(q + 77)**2
Factor 2768*w + 1852*w - 118*w**2 + 63*w**2 - 1067220 + 50*w**2.
-5*(w - 462)**2
Factor 1/5*x**3 - 81/5*x**2 + 1887/5*x - 9583/5.
(x - 37)**2*(x - 7)/5
Let n = -243174 + 243190. Let 44/3*j - 4/3 + n*j**2 = 0. Calculate j.
-1, 1/12
Let y(q) be the second derivative of 0 - 39/20*q**5 + 0*q**2 + 10*q**4 - 103*q - 18*q**3 + 1/10*q**6. Determ