 - 132480*g + 57134. Let m(j) = 37*j**3 + 7644*j**2 + 529920*j - 228537. Let s(d) = 4*m(d) + 18*n(d). Factor s(y).
-2*(y + 138)**2*(7*y - 3)
Let q be ((-70)/2968)/(-1*2/8). Let u = q - -38/159. What is f in 1/3 + 1/3*f**4 + u*f**5 - 2/3*f**2 - 2/3*f**3 + 1/3*f = 0?
-1, 1
Let z(u) be the third derivative of -u**8/42 - 11*u**7/35 + 97*u**6/15 + 1113*u**5/10 + 135*u**4/2 - 1472*u**2. Determine l so that z(l) = 0.
-9, -1/4, 0, 10
Factor -297*w**2 + 889*w**2 - 1635*w - 292*w**2 - 295*w**2.
5*w*(w - 327)
Let i(n) be the first derivative of 2*n**6/15 + 2*n**5/5 - n**4/3 - 4*n**3/3 + 57*n + 6. Let a(o) be the first derivative of i(o). What is l in a(l) = 0?
-2, -1, 0, 1
Let x(d) = -4*d**2 + 3*d**3 + 30 - 4*d**3 - 27 + 16*d**2. Let m be x(12). Factor -3*f**2 + 1 - 5 + 5*f**2 + 2 + 2*f**m - 2*f.
2*(f - 1)*(f + 1)**2
Let g(s) = 255*s - 550. Let i(p) = p**2 + p - 10. Let t(c) = -g(c) + 20*i(c). Solve t(m) = 0 for m.
7/4, 10
Let 16/13*r - 158/13*r**4 + 632/13*r**2 + 0 + 612/13*r**3 - 154/13*r**5 = 0. Calculate r.
-2, -1, -2/77, 0, 2
Suppose 3*t - 4 = 2*t. Let g be t - -5*(-3)/15. Factor -8*h**3 + 0*h + 7*h - 18*h**5 - g*h + 22*h**5.
4*h*(h - 1)**2*(h + 1)**2
Let r(w) = -3*w**3 + 32*w**2 + 10*w + 14. Let u be r(11). Factor 2979*j**2 - 2978*j**2 - 5*j - u + 9.
(j - 3)*(j - 2)
Let w(x) be the third derivative of x**6/180 + 37*x**5/45 + 47*x**4/12 - 24*x**3 - x**2 + 2466*x - 1. Solve w(m) = 0.
-72, -3, 1
Let r(f) be the third derivative of -f**8/1512 - f**7/135 - 4*f**6/135 - 2*f**5/45 + 4*f**2 + 39*f. Factor r(b).
-2*b**2*(b + 2)**2*(b + 3)/9
Let x(u) = -29*u + 145. Let m(b) = -b**3 - 8*b**2 - 11*b + 11. Let h be m(-6). Let s be x(h). Factor s*y - 1/2*y**3 + 0 + y**2 - 1/2*y**4.
-y**2*(y - 1)*(y + 2)/2
Suppose -172*q + 176*q - 2*l - 2 = 0, 3*q = -5*l - 5. Solve 0*n + 25/3*n**2 - 3*n**4 + 5*n**3 + 1/3*n**5 + q = 0.
-1, 0, 5
Let z be -15 - (17 + (-975)/30). Let c(t) be the first derivative of -1/3*t**3 + 14 + 0*t + z*t**2. Let c(k) = 0. Calculate k.
0, 1
Determine f, given that -194*f**2 + 524*f**2 - 174830 - 1100*f - 2*f**4 - 3*f**4 - 5*f**3 + 175830 = 0.
-10, 2, 5
Suppose -3*q + 397 = 248*q - 356. Let v(f) be the second derivative of -3/2*f**2 - 9*f + f**q + 3/4*f**4 + 0. Factor v(w).
3*(w + 1)*(3*w - 1)
Let t(r) be the first derivative of -2*r**3/5 + 249*r**2/10 - 474*r/5 + 4398. Find y, given that t(y) = 0.
2, 79/2
Suppose -7*f - 9*f + 52 = -4*r, 4*r - r = -f. Factor 2/3*x - 1/6*x**f + 0 + 2/3*x**2 - 1/6*x**4.
-x*(x - 2)*(x + 1)*(x + 2)/6
Let k(c) = -c**3 - 5*c**2 + 2. Let b be k(-5). Let q be (271425/225)/77 - 15. Suppose q*p - 1/2 - 1/6*p**b = 0. Calculate p.
1, 3
Suppose -4273 + 4006 = -89*t. Let y(i) be the third derivative of -1/350*i**7 + 1/300*i**5 - 30*i**2 + 1/300*i**6 + 0*i + 0*i**4 + 0*i**t + 0. Factor y(f).
-f**2*(f - 1)*(3*f + 1)/5
Solve 3/2*z**2 - 1/6*z**4 - 23/6*z + 2 + 1/2*z**3 = 0.
-3, 1, 4
Let m = 8593/42090 - 35/8418. Let s(p) = p**3 + 3*p**2 - 6*p - 6. Let i be s(-4). Find d such that 2/5*d**i - 1/5*d - m*d**3 + 0 = 0.
0, 1
Let b(q) = q**2 - 76*q - 66. Let x be b(23). Let i = x - -1287. Factor -2*j - 2/3*j**3 + 0 - 8/3*j**i.
-2*j*(j + 1)*(j + 3)/3
Suppose 50 = -5*x + 140. Suppose 0*r + x = 4*s - r, -s - r = -7. Suppose i - s*i**2 + 4*i + 4*i**2 - 4 = 0. Calculate i.
1, 4
Let q(r) be the third derivative of -3/2*r**3 + 1/8*r**5 + 0 - 10*r - 13/16*r**4 + r**2. Factor q(z).
3*(z - 3)*(5*z + 2)/2
Let p = -469925 - -469929. Factor -7/2*q**3 - 1/2*q**p + 7/2*q + 1/2*q**2 + 0.
-q*(q - 1)*(q + 1)*(q + 7)/2
Suppose -12*t = 643 + 137. Let f = t - -81. Factor -144*a**3 - 40*a - 10 - 6 - 4 + f - 132*a**2.
-4*(3*a + 1)**2*(4*a + 1)
What is z in -5560*z + 2309036 + 2558222 - 444298 + 2*z**2 - 558760 = 0?
1390
Let z(v) be the second derivative of v**5/80 + 7*v**4/8 - 23*v**3/3 + 8794*v. Factor z(q).
q*(q - 4)*(q + 46)/4
Factor -2/7 - 255/7*v - 72*v**2 - 251/7*v**3.
-(v + 1)**2*(251*v + 2)/7
Suppose -4*p - 4*f + 24 + 12 = 0, 17 = -2*p + 5*f. Factor 4 - 16 + 33*j**2 - 36*j + 6 + 31*j**2 + 14 - 56*j**3 + 24*j**p - 4*j**5.
-4*(j - 2)*(j - 1)**4
Let q(p) be the second derivative of 0 - 4*p**3 - 3*p - 1/6*p**4 + 1/15*p**5 + 13*p**2. Let o(r) be the first derivative of q(r). Factor o(m).
4*(m - 3)*(m + 2)
Let p(a) be the second derivative of a**4/42 - 106*a**3/21 + 505*a**2/7 + 2894*a + 2. Factor p(u).
2*(u - 101)*(u - 5)/7
Let q(z) be the second derivative of z**5/20 + 13*z**4/12 - 40*z**3/3 - 102*z**2 - 11*z - 13. Factor q(s).
(s - 6)*(s + 2)*(s + 17)
Let c = -1558481 + 17143293/11. Factor 12/11 - c*n**3 - 28/11*n + 19/11*n**2 - 1/11*n**4.
-(n - 2)*(n - 1)**2*(n + 6)/11
Determine k so that -5340*k + 4*k**2 + 896 + 2680*k + 2780*k = 0.
-16, -14
Let h(g) = -g**3 + 11*g**2 - 30*g + 175. Let b be h(10). Let i(j) = -j**3 - 25*j**2 - 11*j - 275. Let o be i(b). Factor -3/4*y**4 + o + 3/4*y**2 + 0*y**3 + 0*y.
-3*y**2*(y - 1)*(y + 1)/4
Let c = 47292 + -520202/11. Factor c*g - 12/11 - 2/11*g**2.
-2*(g - 3)*(g - 2)/11
Factor -4*p**4 - 33*p**2 + p**2 + 14*p**2 - 2*p**2 - 20*p**3 + 4*p**2.
-4*p**2*(p + 1)*(p + 4)
Let u be (0 - 3)/((-48)/(-1) - 53). Find y, given that -1/5 - 3/5*y**2 + 1/5*y**3 + u*y = 0.
1
Let a(u) = -u**3 + 4*u**2 - u - 1. Let j(h) = 3*h**4 + 12*h**3 + 33*h**2 + 6*h - 3. Let s(v) = 3*a(v) - j(v). Factor s(x).
-3*x*(x + 1)**2*(x + 3)
Let s be 1/(((-608)/(-160))/19). Solve 2/7*m**4 + 6/7*m**2 - 2/7*m**s + 0*m + 0 + 10/7*m**3 = 0 for m.
-1, 0, 3
Suppose 0 = -4*m + 4*n - 11 + 3, n - 11 = -2*m. Suppose m*b - 4 = 2*u, -b + 4*u = -u - 10. Find f such that 0 + 0*f**2 + b*f - 1/8*f**4 + 1/4*f**3 = 0.
0, 2
Let w(a) be the third derivative of a**5/12 - 3435*a**4/8 - 5155*a**3/3 + 5*a**2 - 281*a. Factor w(x).
5*(x - 2062)*(x + 1)
Let n = 118219/7 - 16888. Factor n*t**2 - 6/7*t - 24/7.
3*(t - 4)*(t + 2)/7
Let u = -42 - -19. Let x = -20 - u. Factor -6*l**2 - 2*l**3 + 83*l**4 - 80*l**4 + x - l + l**5 + 2*l.
(l - 1)**2*(l + 1)**2*(l + 3)
Let i(l) be the second derivative of l**6/15 - l**5 - 4*l**4 + 2941*l. Factor i(d).
2*d**2*(d - 12)*(d + 2)
Factor 0 + 18/5*y**3 - 32/5*y + 12/5*y**2 + 2/5*y**4.
2*y*(y - 1)*(y + 2)*(y + 8)/5
Find s such that 0 + 9/5*s**4 + 64/5*s**2 + 73/5*s**3 + 0*s = 0.
-64/9, -1, 0
Suppose 3*l + 0*l - 6 = 0, -56 = 3*j + 2*l. Let z be (1 - -1) + 5/(j/(-4)). Factor 467 + d**2 + d**z + 3*d**2 - 467.
d**2*(d + 4)
Suppose 15 = 5*m - 0. Suppose -m*w = 2*z - 17 + 5, -8 = -2*w + 5*z. Factor 0*j**3 - 3*j**4 + j - 5*j**3 + 3*j**2 + w*j**3.
-j*(j - 1)*(j + 1)*(3*j + 1)
Let s be ((-17)/340)/(5/(-720)). Factor s*d**3 + 24*d**2 + 176/5*d + 4/5*d**4 + 96/5.
4*(d + 2)**3*(d + 3)/5
Let b(m) be the second derivative of m**7/315 + m**6/30 + 11*m**5/90 + m**4/6 + 15*m**2/2 + 43*m. Let z(h) be the first derivative of b(h). Factor z(j).
2*j*(j + 1)*(j + 2)*(j + 3)/3
Determine o so that -30*o**2 + 72 - 45/2*o**3 + 66*o + 3*o**4 + 3/2*o**5 = 0.
-4, -2, -1, 2, 3
Let q(g) be the second derivative of g**6/180 + 2*g**5/15 + 5*g**4/24 - 21*g - 26. Factor q(p).
p**2*(p + 1)*(p + 15)/6
Let m(i) be the third derivative of -i**5/360 + 10*i**4/9 - 119*i**3/4 - i**2 + 4924*i. Factor m(r).
-(r - 153)*(r - 7)/6
Let t(g) be the first derivative of -2*g**5/5 + 10*g**3/3 - 8*g - 619. Determine u, given that t(u) = 0.
-2, -1, 1, 2
Let q(i) be the third derivative of 0*i + 21/2*i**4 - 5*i**2 - 1323*i**3 - 8 - 1/30*i**5. Factor q(z).
-2*(z - 63)**2
Let g(w) be the second derivative of w**8/3360 + w**7/1260 - w**6/72 + w**5/20 - 23*w**4/6 - 14*w. Let a(y) be the third derivative of g(y). Factor a(o).
2*(o - 1)**2*(o + 3)
Let u(c) be the third derivative of -c**5/60 - 221*c**4/24 + 37*c**3 - 10*c**2 - 20*c - 3. Determine v, given that u(v) = 0.
-222, 1
Let c be (-5)/(60/16)*1332/(-888). Let 2*l + 8/9 + 4/3*l**c + 2/9*l**3 = 0. Calculate l.
-4, -1
Let r(p) be the third derivative of -2*p**7/75 - 697*p**6/300 + 268*p**5/25 - 53*p**4/15 - 208*p**3/15 - 3*p**2 - 177*p. What is l in r(l) = 0?
-52, -2/7, 1/2, 2
Let -2/7*y**2 + 2336/7 - 1164/7*y = 0. What is y?
-584, 2
Let o(q) be the first derivative of 2*q**3/5 + 83*q**2/5 - 172*q/5 - 1020. Factor o(w).
2*(w - 1)*(3*w + 86)/5
Suppose -20 = -63*u + 73*u. Let r be u - -1*30/(-5)*-1. Suppose 2/3*y**r - 5/6*y - 2*y**2 - 1/6*y**3 + 1/3 = 0. Calculate y.
-1, 1/4, 2
Let h(o) be the third derivative of -o**8/3528 + 2*o**7/245 - 2*o**6/21 + 184*o**5/