. Let i be (24/(-15) - q)/((-16)/(-300)). Factor -25/2*g + 5/2*g**2 + 5/2*g**3 + i.
5*(g - 1)**2*(g + 3)/2
Factor -3*v**3 + 8799 + 1501*v**2 + 75*v**2 - 1803 + 6984*v + 161*v**2.
-3*(v - 583)*(v + 2)**2
Suppose 0 + 24/5*k + 0*k**2 - 14/15*k**3 + 2/15*k**4 = 0. What is k?
-2, 0, 3, 6
Find j, given that 108/7*j - 60/7*j**2 + 4/7*j**3 - 52/7 = 0.
1, 13
Let y(g) be the third derivative of 0 + 6075/56*g**4 + 91125/14*g**3 + 27/28*g**5 + 1/280*g**6 + 0*g + 150*g**2. Find s such that y(s) = 0.
-45
Let p = 17571 + -17568. Factor -4/3*d**4 + 2/3 + 5/3*d + 2/3*d**2 - 1/3*d**5 - 4/3*d**p.
-(d - 1)*(d + 1)**3*(d + 2)/3
Let s(i) be the first derivative of 4*i**3/15 + 19*i**2/5 + 18*i/5 + 4886. Determine l, given that s(l) = 0.
-9, -1/2
Find d such that -5/2*d**2 + 1/5*d + 12/5 + 1/10*d**4 - 1/5*d**3 = 0.
-4, -1, 1, 6
Let f(k) be the third derivative of k**7/630 - 13*k**6/720 - 23*k**5/360 - k**4/18 - 45*k**2 + 4. Factor f(r).
r*(r - 8)*(r + 1)*(2*r + 1)/6
Determine s, given that -536/9 + 94/3*s**2 - 4/9*s**3 - 310/3*s = 0.
-1/2, 4, 67
Let y(o) be the second derivative of 3*o**4/28 - 19*o**3/14 - 18*o**2 + o + 2226. Suppose y(j) = 0. Calculate j.
-3, 28/3
Factor -5*s**3 + 258*s**2 + 3585*s + 17030 + 738*s**2 + 789*s**2 - 15235.
-5*(s - 359)*(s + 1)**2
Let g(q) be the third derivative of 9*q**5/10 + 320*q**4 + 409600*q**3/9 + 21*q**2 + 9. Factor g(a).
2*(9*a + 640)**2/3
Let z(r) be the second derivative of -r**6/24 - 11*r**5/12 - 27*r**2 - 2*r - 26. Let a(c) be the first derivative of z(c). Factor a(j).
-5*j**2*(j + 11)
Suppose 3*f + 5*j - 199 = -0*f, 89 = f - 4*j. Suppose 2*l - f = -3*c, 2*l - 5*c - 43 = l. Find m, given that 9*m**3 + 18*m**2 + 14*m**2 - l*m**2 - 3*m**4 = 0.
0, 1, 2
Let a(v) = -v**3 - 9*v**2 - 13*v + 19. Let d be a(-7). Factor -13 + 14 - d*l - 17 + 3*l**2 - 11 - 9.
3*(l - 6)*(l + 2)
Let p = 362 + -324. Find s, given that -2*s**4 + p*s + 3*s**2 - 34*s + 3*s**2 = 0.
-1, 0, 2
Let b be (-114)/(-12) + (-18)/4. Suppose -3*p = -0*p - 2*d - 4, 3*d = b*p - 7. What is j in -2/9*j**p + 4/3 - 2/9*j = 0?
-3, 2
Suppose p + 31 = 32. Suppose -k = -2*k - 4*w - 4, -4*k - w = p. Determine f so that 181*f**2 - f + f**3 + k*f - 182*f**2 + f**4 = 0.
-1, 0, 1
Let c(k) be the second derivative of -k**5/20 - 29*k**4/2 - 1232*k**3 + 7744*k**2 - 162*k. Factor c(l).
-(l - 2)*(l + 88)**2
Let o(b) be the third derivative of -b**5/15 - 3419*b**4/6 - 8*b**2 - 2*b + 321. Determine m, given that o(m) = 0.
-3419, 0
Let o(q) be the first derivative of q**4/4 - 3*q**3 + 2*q**2 - 9*q - 8. Let f be o(9). Determine v, given that 3*v**2 - 33 - 4*v + f - v**2 = 0.
-1, 3
Let j(k) = 2*k**2 + 15*k + 7. Let w be j(-11). Let b = 88 - w. Let h(f) = f**3 + f**2 + f. Let o(l) = -l**2 + 2*l. Let x(q) = b*o(q) - 12*h(q). Factor x(m).
-4*m*(m + 1)*(3*m + 1)
Let r be ((-364)/(-84) - (-4)/6) + -3. Factor 355*n + 422 + 10*n**r - 247 + 5*n**3 + 175*n**2.
5*(n + 1)**2*(n + 35)
Suppose 137*b - 103 - 61 = 110. Let v(s) be the second derivative of 0 - 19*s - 1/2*s**3 - 1/12*s**4 - s**b. Factor v(j).
-(j + 1)*(j + 2)
Suppose 0*u + 280 = 7*u. Let x = -36 + u. Suppose -f**2 + 3*f + 2*f - 7 - f + x = 0. What is f?
1, 3
Let u(w) be the third derivative of -w**8/336 - 13*w**7/210 + 3*w**6/8 - 47*w**5/60 + 2*w**4/3 - 2736*w**2 - w. Solve u(d) = 0.
-16, 0, 1
Let a(m) be the first derivative of m**4/12 + 539*m**3/9 + 72899*m**2/6 + 72361*m/3 - 2390. Solve a(z) = 0 for z.
-269, -1
Let b(c) be the third derivative of c**7/1960 - c**6/56 + 6*c**5/35 - 11*c**4/14 + 26*c**3/3 + c**2 + 51. Let v(n) be the first derivative of b(n). Factor v(o).
3*(o - 11)*(o - 2)**2/7
Let a(u) be the first derivative of -u**5 - 4755*u**4/4 + 4760*u**3/3 - 9989. Factor a(s).
-5*s**2*(s - 1)*(s + 952)
Let s be (-36)/(-21) - 6/(-21). Suppose g - 2*k = 128 - 124, g - 4*k - 8 = 0. Factor g - 1/3*r**s + r.
-r*(r - 3)/3
Let z be 4636/15 + 9/(-135). Let d = 312 - z. Let 0*x**2 - 9/4*x + 3/4*x**d + 3/2 = 0. What is x?
-2, 1
Let b(v) be the third derivative of -v**5/120 - v**4/16 + 7*v**3/3 + 3*v**2 + 1019*v. Find y such that b(y) = 0.
-7, 4
Factor 63 + 5 + 305*x + 18 + 24 + 256*x**2 - 61*x**2.
5*(x + 1)*(39*x + 22)
Let l = -113 - -117. Suppose 0 = -5*p - p + l*p. Factor 45*x**2 + 8 - 36*x**3 + 4*x**2 + p*x - 20*x - 113*x**2.
-4*(x + 1)**2*(9*x - 2)
Let j be (-9)/30 + ((-21)/(-175)*-5)/(-2). Suppose -3*k + 22 - 7 = 0. Factor 0 + j*p - 2/9*p**k - 2/3*p**4 - 4/9*p**3 + 0*p**2.
-2*p**3*(p + 1)*(p + 2)/9
Let v(x) be the first derivative of -3*x**5/50 + 2*x**4/5 + 2*x**3/5 - 119. Factor v(z).
-z**2*(z - 6)*(3*z + 2)/10
Let k(n) be the second derivative of -n**4/6 + 5*n**3/6 + 45*n**2 + 10*n + 15. Let h be k(8). Factor -h*x**2 - 6/5*x - 2/5*x**3 + 18/5.
-2*(x - 1)*(x + 3)**2/5
Let c(z) = -z**2 + 18*z - 60. Let k be c(13). Factor -11737 - 8850 - 4*f**2 - 3749 + 329*f - k*f + 300*f.
-4*(f - 78)**2
Let c = 154459/15 - 10297. Let u(a) be the first derivative of 18 - 2/5*a**4 + c*a**3 + 1/15*a**6 + 0*a**5 + 3/5*a**2 - 4/5*a. Factor u(m).
2*(m - 1)**3*(m + 1)*(m + 2)/5
Let l be -2*((-18)/3 - -5). Let 5*j**l - 70 + 10*j + 5*j + 11*j + 39*j = 0. Calculate j.
-14, 1
Let 6*g**3 - 14/5*g**4 - 6/5*g**2 + 12/5 - 22/5*g = 0. What is g?
-6/7, 1
Factor 128/5 - 4*m**3 + 128/5*m - 24/5*m**2 + 4/5*m**4.
4*(m - 4)**2*(m + 1)*(m + 2)/5
Let l(x) be the first derivative of -6*x**5/55 - x**4/2 - 10*x**3/11 - 9*x**2/11 - 4*x/11 - 1502. Factor l(b).
-2*(b + 1)**3*(3*b + 2)/11
Let y(q) be the first derivative of -q**5/2 + 165*q**4/8 - 370*q**3/3 + 285*q**2 - 280*q + 1583. Solve y(o) = 0 for o.
1, 2, 28
Let w = -251 - -254. Suppose 5*v + 9 = 2*y + 4*v, -w*v = -2*y + 19. Determine d so that -16/9*d + 2/9*d**y + 2/9*d**3 - 8/3 = 0.
-2, 3
Suppose -36 = -244*g + 253*g. Let a be 250/(-30) + (-40)/g. Determine r, given that 1/3*r**2 - 4/3*r - a = 0.
-1, 5
Let x(h) be the third derivative of 1/24*h**6 + 35/12*h**5 + 182*h**2 + 640*h**3 + 220/3*h**4 + 0 + 0*h. Determine t, given that x(t) = 0.
-16, -3
Let b be ((-1152)/20)/(-9)*30/4. Let v be (b/60)/(78/15)*1. What is n in -v*n**2 - 6/13*n**3 + 0 + 2/13*n**4 + 2/13*n**5 + 4/13*n = 0?
-2, -1, 0, 1
Solve c**3 - 745 + 2*c**3 - 722*c - 319 - 316 - 12*c**2 - c**3 = 0.
-15, -2, 23
Let x(u) be the first derivative of -7/60*u**5 - 2/3*u**2 + 59 + 1/3*u + 1/3*u**4 + 1/12*u**3. Solve x(k) = 0.
-1, 2/7, 1, 2
Let f = -87 - -89. Let y(u) = 20*u**2 + 8*u - 27*u**f - 9*u**2 - 4. Let m(r) = r**2. Let v(a) = 12*m(a) + y(a). Let v(k) = 0. Calculate k.
1
Solve 3*v**2 + 1/2*v + 0 = 0 for v.
-1/6, 0
Factor -255*d**2 + 70*d**4 - 8*d**4 - 38*d**4 - 6*d**4 - 15*d**4 - 225*d - 27*d**3.
3*d*(d - 15)*(d + 1)*(d + 5)
Let v = 423842 + -423839. Determine z, given that -5/4*z**v - 3/2 + 11/4*z + 3*z**2 = 0.
-1, 2/5, 3
Let t(v) be the third derivative of 237*v**2 + 0 + 5/2*v**4 - 14/15*v**5 + 0*v**3 + 0*v - 1/30*v**6. Find k such that t(k) = 0.
-15, 0, 1
Solve -236609 - 310930*a**2 + 1230*a**3 + 79844 - 1050212 + 181219*a**2 + 745380*a - 3*a**4 + 105269 = 0 for a.
3, 202
Let w(r) be the third derivative of 1/2*r**3 - 2*r**2 - 58*r + 0 - 13/32*r**4 + 3/80*r**5. Suppose w(k) = 0. Calculate k.
1/3, 4
Let f(y) = 2*y**3 - 3092*y**2 + 3087*y + 3. Let s(j) = -58*j**3 + 89668*j**2 - 89524*j - 86. Let w(c) = -172*f(c) - 6*s(c). Factor w(l).
4*l*(l - 1545)*(l - 1)
Let f(r) be the second derivative of 1/70*r**6 + 0 - 106*r - 1/4*r**4 + 0*r**2 - 3/70*r**5 - 2/7*r**3. Determine z so that f(z) = 0.
-1, 0, 4
Suppose -5*i = -3*o - 10, 4*o - 141 + 145 = 2*i. Let k(l) be the third derivative of 1/15*l**5 - l**4 + 0*l + 18*l**i + 0*l**3 + 1/30*l**6 + 0. Factor k(n).
4*n*(n - 2)*(n + 3)
Let m be (-1 + -6)*(-72)/84. Suppose 0*o - m*o = -12. Factor 2*u**4 - 195*u + u**5 + 194*u + u**o - 3*u**2.
u*(u - 1)*(u + 1)**3
Let y(q) be the third derivative of -q**5/60 - 35*q**4/12 + 24*q**3 - 9*q**2 - 178*q - 2. Factor y(i).
-(i - 2)*(i + 72)
Let p = -1158/5 - -16227/70. Let m(d) be the second derivative of -p*d**2 + 3/7*d**3 + 1/4*d**4 + 3*d + 0. Factor m(b).
3*(b + 1)*(7*b - 1)/7
Let y be ((-4)/30)/(((-828)/1863)/(8/6)). Factor 6/5*m**2 + 2/5*m - 6/5 - y*m**3.
-2*(m - 3)*(m - 1)*(m + 1)/5
Let o(u) = -5*u**3 + 9*u**2 + 6*u + 4. Let d be (-1 + 23)*(-2)/(-4). Let m(l) = 10*l**3 - 17*l**2 - 13*l - 8. Let i(y) = d*o(y) + 6*m(y). Factor i(f).
(f - 2)*(f + 1)*(5*f + 2)
Suppose 17*q - 55 = 6*q. S