of -h**4/2 - 28*h**3/3 + 69*h**2 - 108*h + 204. Factor p(q).
-2*(q - 3)*(q - 1)*(q + 18)
Let t = 605990 + -605988. Find l such that -220/3*l + 5/3*l**4 - 35/3*l**3 + 0 - 200/3*l**t = 0.
-2, 0, 11
Suppose 22*g - 190 = 12*g. Factor g*p - 5*p**2 - 23*p + 0*p**2 + 4*p**2.
-p*(p + 4)
Let q(i) be the third derivative of -3*i**6/50 - 56*i**5/75 + 17*i**4/10 + 28*i**3/15 - 17*i**2 - 43. Factor q(f).
-4*(f - 1)*(f + 7)*(9*f + 2)/5
Suppose 0 - 31/3*n**3 + 7/3*n**5 - 4*n - 52/3*n**2 + 16/3*n**4 = 0. What is n?
-3, -1, -2/7, 0, 2
Suppose -3*y - 21 = -3*l, -5*y = 5*l - 29 - 36. Suppose s - l = -4*s. Find n such that -5*n**2 + 7 - 8*n**2 - 4*n**3 + 4*n + 5*n**s + 1 = 0.
-2, -1, 1
Let h(n) be the first derivative of -n**6/720 - n**5/16 + n**4/3 - 37*n**3/3 + n**2 + 43. Let k(s) be the third derivative of h(s). Find i such that k(i) = 0.
-16, 1
Let w(k) be the third derivative of -k**5/6 - 203*k**4/96 + 13*k**3/12 - 225*k**2. Factor w(c).
-(5*c + 26)*(8*c - 1)/4
Factor 3/2*j**3 - 27/2*j + 0 - 12*j**2.
3*j*(j - 9)*(j + 1)/2
Let z(q) = 0*q**2 + 3*q + 7*q**2 - 3*q**2 + 5 + 2 + q**2. Let d(w) = -2*w**2 + 1. Let h(y) = -6*d(y) - 2*z(y). Factor h(f).
2*(f - 5)*(f + 2)
Let m(h) be the first derivative of h**6/675 - h**5/900 - h**4/10 + 59*h**3/3 + h**2/2 - 207. Let f(p) be the third derivative of m(p). Factor f(u).
2*(u + 2)*(4*u - 9)/15
Factor 2/13*i**2 - 512/13 + 252/13*i.
2*(i - 2)*(i + 128)/13
Let z(u) be the third derivative of -u**5/210 - 5*u**4 + 423*u**3/7 - 961*u**2 + 2*u. Find h such that z(h) = 0.
-423, 3
Let b = -3776 - -3822. Let i(r) be the second derivative of 0*r**3 + 1/98*r**7 - 1/14*r**6 + 0 + b*r + 0*r**2 + 3/20*r**5 - 3/28*r**4. Factor i(u).
3*u**2*(u - 3)*(u - 1)**2/7
Factor 9*b**4 + 0 - 32*b**3 + 0*b + 92/3*b**2 - 1/3*b**5.
-b**2*(b - 23)*(b - 2)**2/3
Let r(o) be the first derivative of o**5/20 - o**4/8 - 3*o**3 + o**2 + 15*o - 194. Let y(j) be the second derivative of r(j). Let y(g) = 0. What is g?
-2, 3
Let j be (-27)/(-4)*64/48. What is k in 10*k + 5 - 8 - 6*k - 2*k**2 + j = 0?
-1, 3
Factor -112/17 + 114/17*c - 2/17*c**2.
-2*(c - 56)*(c - 1)/17
Suppose -140*x + 62*x = -40*x - 76. Factor -14/3*p**x + 4 + 38/3*p.
-2*(p - 3)*(7*p + 2)/3
Let m be ((-144)/192)/(4/(-16)). Let u(z) be the second derivative of 0 + 0*z**m + 0*z**2 - 1/135*z**6 - 1/54*z**4 - 1/45*z**5 + 47*z. What is s in u(s) = 0?
-1, 0
Let r(v) be the second derivative of -1/48*v**3 + 0*v**2 + 0 - 73*v + 0*v**4 + 1/160*v**5. Factor r(x).
x*(x - 1)*(x + 1)/8
Let c(m) = -2*m**3 + 618*m**2 - 46334*m - 246490. Let u(p) = 8*p. Let o(t) = -2*c(t) - 44*u(t). Find d, given that o(d) = 0.
-5, 157
Let l(d) be the first derivative of -95 + 18/7*d - 2/7*d**4 - 46/21*d**3 - 30/7*d**2. Factor l(t).
-2*(t + 3)**2*(4*t - 1)/7
Let s(a) be the third derivative of -a**7/42 + 361*a**6/12 - 130321*a**5/12 + 31*a**2 - 2*a - 17. Factor s(j).
-5*j**2*(j - 361)**2
Let z = -266/5 - -54. Suppose -4*o = -g - 41 + 27, -6 = -3*g. Suppose -14/5*i**o - 2*i**2 - 2/5*i + 0 - 18/5*i**3 - z*i**5 = 0. What is i?
-1, -1/2, 0
Factor -1/6*s**2 + 0 - 173/6*s.
-s*(s + 173)/6
Suppose 403*n + 362 = 686 + 482. Let c(u) be the first derivative of 19 - 64*u - 16*u**n - 4/3*u**3. Solve c(s) = 0.
-4
Suppose 14 = 2*a + 4, -4*x + 42 = -2*a. Let q = 15 - x. Find t such that 17*t**q + 4*t**3 + 59*t - 89*t**2 - 668 - 196 + 373*t = 0.
6
Let z(f) be the first derivative of -3*f**5/10 + 59*f**3/2 - 135*f**2/2 - 600*f - 3. Find r, given that z(r) = 0.
-8, -2, 5
Let q(s) be the third derivative of -1/300*s**6 - 29/60*s**4 + 0 + 0*s + 7*s**2 - 8/75*s**5 - 14/15*s**3. Factor q(m).
-2*(m + 1)**2*(m + 14)/5
Suppose 0 = -7*b + 4*b - 2*y + 1, -4*b - 5*y - 8 = 0. Suppose -6*t - 3*t**4 - 13*t**2 - 8*t + 1132*t**b + 18 - 2*t**2 - 1117*t**3 - t = 0. What is t?
-1, 1, 2, 3
Let o(g) be the third derivative of 5*g**7/21 - 773*g**6/24 + 414*g**5/5 - 533*g**4/6 + 152*g**3/3 - 2105*g**2. Determine v, given that o(v) = 0.
2/5, 1/2, 76
Let y(v) = 7*v + 86. Let s be y(-8). Suppose 3*t - 2*i = -4, -53 + s = t - 5*i. Find b such that 4/5*b**3 + t*b**2 + 4/5*b + 0 = 0.
-2, -1/2, 0
Let p(r) be the first derivative of -2*r**5/55 + 7*r**4/11 - 38*r**3/11 + 36*r**2/11 + 216*r/11 + 1409. Find c, given that p(c) = 0.
-1, 3, 6
Solve 4*g**2 - 3 + 3*g**3 - 1/2*g**5 - g**4 - 5/2*g = 0 for g.
-3, -1, 1, 2
Let y(o) be the second derivative of 3*o**5/20 - 45*o**4/4 + 303*o**3/2 - 777*o**2/2 - 5220*o. Factor y(f).
3*(f - 37)*(f - 7)*(f - 1)
Let k(c) be the second derivative of c**3/2 + 23*c**2/2 + 6*c. Let z be k(-7). Find m such that 4*m**z - m**2 + 3*m**2 - 3*m**2 = 0.
0
Suppose -120*x + 28 = -232*x + 126*x. Let -4*q + 2/11*q**3 + 0 + 18/11*q**x = 0. Calculate q.
-11, 0, 2
Let g(o) be the first derivative of -11/14*o**2 + 1/21*o**3 + 10/7*o - 87. Factor g(m).
(m - 10)*(m - 1)/7
What is v in 2/3*v**4 + 4374 + 12476/3*v**2 - 8640*v + 320/3*v**3 = 0?
-81, 1
Let o = -37 + 15. Let h = 27 + o. Find j, given that -25*j**3 - 2 + 45*j**2 + 0*j - 10*j + 35*j**h - 45*j**4 + 2 = 0.
-1, 0, 2/7, 1
Solve 91*h - 366 + 2*h**2 + 180*h - 78*h + 171*h = 0 for h.
-183, 1
Let h = -2/1570101 - -8373874/1570101. Factor u**2 + 5/3 - h*u.
(u - 5)*(3*u - 1)/3
Let j be (-496)/(-248) + ((-1)/4)/(27/192). Let v(r) be the third derivative of -1/90*r**5 - j*r**3 + 0*r - 1/12*r**4 + 0 + 4*r**2. Factor v(f).
-2*(f + 1)*(f + 2)/3
Solve -10360352/3 - 2/3*k**2 - 9104/3*k = 0 for k.
-2276
Let u be (-684)/(-34) - (-5 - 560/(-136) - -1). Let f(d) be the first derivative of -5/3*d**3 + 18 - 10*d**2 - u*d. Factor f(s).
-5*(s + 2)**2
Suppose 29 - 25 = 2*g. Suppose g*r + 9 = 3*k, 0 = -r + 9*k - 7*k - 7. Factor 1/2*v**r - 4*v + v**2 + 0.
v*(v - 2)*(v + 4)/2
Let n(g) be the second derivative of 0*g**2 + 277*g + 0 + 7/6*g**3 - 1/36*g**4. Factor n(o).
-o*(o - 21)/3
Let k(m) be the third derivative of -47*m**6/540 - 233*m**5/270 - 89*m**4/54 + 8*m**3/27 + 49*m**2. Determine q, given that k(q) = 0.
-4, -1, 2/47
Let n be (-6)/((-18)/171 - (-908)/7182). Let o = n + 303. Factor -18*h - 9*h**3 - 3/2*h**4 - o*h**2 - 6.
-3*(h + 1)**2*(h + 2)**2/2
Let h(y) be the third derivative of 37/210*y**7 + 0*y**3 + 0 - 180*y**2 + 0*y + 17/45*y**6 + 0*y**4 + 11/45*y**5 + 1/112*y**8. Factor h(x).
x**2*(x + 11)*(3*x + 2)**2/3
Let l = -5 + 9. Let m be (-14)/(-12) - 4475/(-5370). Let 15/2*p**5 - 48 + 555/2*p**3 - 399*p**m - 78*p**l + 240*p = 0. Calculate p.
2/5, 1, 4
Let u(a) = -2*a + 8*a + 3 + 6*a**2 + 4 + 9*a**3 - 8*a**3. Let t be u(-5). Solve -147 + 9*s - 47*s - 4*s - 3*s**t = 0 for s.
-7
Let w(q) be the third derivative of -89*q**6/120 + 59*q**5/20 - 29*q**4/8 - q**3/6 - 3*q**2 + 782. Solve w(h) = 0.
-1/89, 1
Let a = 28421 - 28418. Let u(o) be the first derivative of -1/3*o**4 + 0*o + 23 - 14/3*o**2 - 32/9*o**a. What is p in u(p) = 0?
-7, -1, 0
Let y(g) be the third derivative of g**7/420 + g**6/10 + 21*g**5/40 - g**4/12 - 7*g**3 + 452*g**2 - 2*g. Determine q so that y(q) = 0.
-21, -2, 1
What is x in -18*x**3 + 39*x**4 + 12 + 45/2*x - 51*x**2 - 9/2*x**5 = 0?
-1, -1/3, 1, 8
Determine a, given that -299*a - 23*a**3 - 108 - 29*a**3 + 2*a**5 - 223*a - 4*a**4 + 976*a - 292*a = 0.
-3, 1, 6
Suppose -q - 5*a - 15 = 0, 2*q = 3*a + 41 - 32. Suppose 0 - 16/13*b**2 - 2/13*b**4 - 12/13*b**3 + q*b = 0. What is b?
-4, -2, 0
Let u(a) = 7*a - 79. Let d be u(14). Factor -d - 11*t - 126*t + 69 - 146*t - 18*t**3 - 19*t + 462*t**2.
-2*(t - 25)*(3*t - 1)**2
Let v(o) = -2*o**3 + 95*o**2 - 1060*o - 36. Let g be v(18). Factor 0*x + g*x**2 - 2/3*x**5 + 4/3*x**4 + 0*x**3 + 0.
-2*x**4*(x - 2)/3
Let r(l) = -6 + 59 - 24*l + 50 + 25 - 24*l**2. Let o(k) = -k**2 - k + 4. Let w(s) = 20*o(s) - r(s). Solve w(a) = 0 for a.
-4, 3
Let s = 147 - 145. Factor 24 + 22*f**3 + 49*f**2 - 47*f**2 + s*f**3 - 134*f**2 + 44*f + 12*f**3 + 28*f**4.
4*(f - 1)**2*(f + 3)*(7*f + 2)
Let v = -261 + 263. Let c(t) be the third derivative of 1/60*t**5 + 0 - 32*t**v - 1/4*t**4 - 7/6*t**3 + 0*t. Find a such that c(a) = 0.
-1, 7
Find x, given that -32/11*x + 520/11 - 2/11*x**2 = 0.
-26, 10
Let -711/8*g - 3/8*g**2 + 357/4 = 0. What is g?
-238, 1
Let u be 8 - (-10 + 28 + -10). Let q(p) be the second derivative of -p + 1/30*p**6 - 1/12*p**4 + 0*p**5 + u*p**3 + 0*p**2 + 0. Find n, given that q(n) = 0.
-1, 0, 1
Let m(g) be the second derivative of -13/6*g**4 + 1/10*g**5 - 1/3*g**3 + 6 + g + 13*g**2. Fa