w + 84 = -w. Let k be u/(-25) + (-168)/(-90). Let 0 + 4/3*p**2 + 0*p + k*p**4 - 2*p**3 = 0. Calculate p.
0, 1, 2
Let a(f) be the second derivative of f**7/700 + 13*f**6/600 + 3*f**5/25 + 9*f**4/40 - 13*f**3/6 + 41*f. Let i(k) be the second derivative of a(k). Factor i(j).
3*(j + 3)**2*(2*j + 1)/5
Let f be 2 + (-389)/210 - 110/825. Let l(t) be the third derivative of 0*t + 0 - 3/20*t**6 + 5/2*t**3 + 8*t**2 + 3/4*t**4 - f*t**7 - 1/5*t**5. Factor l(w).
-3*(w - 1)*(w + 1)**2*(w + 5)
Suppose 554*f - 36 = 36 + 38 - 110. Find s such that 8/5*s**3 + 0 + 0*s**2 + 2/5*s**5 + f*s + 2*s**4 = 0.
-4, -1, 0
Let f be 2/5 + 5934/15. Let s be 1*3 - f/176. Factor -9/4 - 3*d - s*d**2.
-3*(d + 1)*(d + 3)/4
Let k(z) be the third derivative of 529/6*z**3 + 0 + 0*z - 21*z**2 - 23/12*z**4 + 1/60*z**5. Factor k(b).
(b - 23)**2
Let t(l) be the third derivative of l**5/300 + 47*l**4/8 - 1590*l**2. Let t(c) = 0. Calculate c.
-705, 0
Let h = 318 + -316. Let l be (-14)/20*h*(-7 - -6). Determine m so that 2/5*m**2 - 1/5*m**3 + l*m + 4/5 = 0.
-1, 4
Suppose 8*j + 3*j = -10208. Let o = j - -4644/5. Solve -4/5*s**3 + 2/5*s**5 + o*s**4 - 8/5*s**2 + 2/5*s + 4/5 = 0 for s.
-2, -1, 1
Find p such that 6/11*p**4 - 592/11*p**2 - 256/11*p + 480/11 - 160/11*p**3 = 0.
-2, 2/3, 30
Factor -4/7*d**2 + 0 - 16/7*d.
-4*d*(d + 4)/7
Let k(v) = v**2 - 5*v. Let h be k(5). Suppose -19*u + 4 = -17*u. Determine m so that 5*m + m + 4*m**u - 2*m - 24 + h*m**2 = 0.
-3, 2
Let y(c) = -c**2 + 52*c + 338. Let p(b) = 14*b**2 - 364*b + 16*b**2 - 2366 - 39*b**2 + 17*b**2. Let h(l) = -6*p(l) - 44*y(l). Let h(u) = 0. What is u?
-13
Suppose 444*y - 64*y**5 + 18*y**3 - 720 - 390*y**3 - 1312*y**4 - 176*y**3 + 1864*y**2 = 0. Calculate y.
-20, -1, 3/4
Let h = 19129 + -19124. Let l(f) be the first derivative of 0*f**2 + 0*f**4 - 1/8*f**6 - 3/10*f**h + 0*f**3 + 0*f - 14. Factor l(b).
-3*b**4*(b + 2)/4
Let v(l) be the third derivative of -49*l**5/30 - 14*l**4 - 48*l**3 - 116*l**2 + 1. Solve v(m) = 0.
-12/7
Let n(x) be the second derivative of -3*x**5/100 - 41*x**4/10 - 198*x**3 - 22356*x**2/5 + 3962*x. Factor n(m).
-3*(m + 18)**2*(m + 46)/5
Let f be (1 - (-7)/(-11))/(6/33). Let a(d) be the third derivative of 0*d + 0 + 0*d**3 + 1/900*d**6 + 1/450*d**5 + 8*d**f - 1/90*d**4. Factor a(z).
2*z*(z - 1)*(z + 2)/15
Let i(b) be the second derivative of -b**7/3150 - b**6/100 + 23*b**4/6 - 36*b. Let u(p) be the third derivative of i(p). Solve u(g) = 0.
-9, 0
Let z(o) be the third derivative of 0*o + 0*o**5 - 18*o**2 - 3/2*o**3 - 1/540*o**6 + 1/36*o**4 + 0. Let n(m) be the first derivative of z(m). Factor n(r).
-2*(r - 1)*(r + 1)/3
Find g, given that -56*g**3 - 2*g**2 - 3*g**2 - 3*g**4 + 66*g**3 - 2*g**4 = 0.
0, 1
Let n(x) be the second derivative of -x**7/5040 + x**6/16 - 135*x**5/16 + x**4/12 + 2*x**3 - 65*x. Let r(u) be the third derivative of n(u). Factor r(g).
-(g - 45)**2/2
Let j be 11360/1065*6/128. Factor -j*y**3 - 1/2*y**2 - 1/6*y - 1/6*y**4 + 0.
-y*(y + 1)**3/6
Find l, given that 27/4*l**3 - 195/4*l**2 + 0 + 425/4*l - 1/4*l**4 = 0.
0, 5, 17
Let s(v) be the first derivative of 3*v**5/5 + 15*v**4 + 19*v**3 - 270. Solve s(x) = 0 for x.
-19, -1, 0
Let l(m) be the third derivative of m**5/120 + 29*m**4/24 + 2*m**2 + 13*m. Factor l(p).
p*(p + 58)/2
Let p(h) be the third derivative of h**5/450 - 46*h**4/15 - 26*h**2 - 19. Factor p(b).
2*b*(b - 552)/15
Let s(o) = o**3 + 9*o**2 + 4*o - 28. Let i be s(5). Let a = i - 2390/7. Solve 2/7*h**2 - 6/7*h + a = 0 for h.
1, 2
Let k(m) = -7*m**4 - 5*m**3 + 9*m**2. Let l(q) = 0 + 1 + 40*q**4 + 1410*q**3 - 1 - 52*q**2 - 1381*q**3. Let b(y) = 34*k(y) + 6*l(y). Find a such that b(a) = 0.
-3, 0, 1
Let w be (-30)/40*(-8)/3. Let c be -7 - w/(-16)*(20 - -42). What is o in -3/2*o**4 + 0 + c*o**5 + 0*o**3 - 3/4*o + 3/2*o**2 = 0?
-1, 0, 1
Let v(l) be the second derivative of -l**6/1260 - l**5/84 + l**4/14 + 19*l**3/2 - l**2/2 + 36*l. Let t(g) be the second derivative of v(g). Factor t(f).
-2*(f - 1)*(f + 6)/7
Let v be (-4 - -3) + -1 + -2. Let w be v/((-12)/29) + (-4)/6. Solve -w*o + 3*o**2 - 1/3*o**3 + 9 = 0 for o.
3
Let l = 15937 - 15934. Let n(r) be the first derivative of 2*r + 14/27*r**l - 5/3*r**2 - 1/18*r**4 - 2. Suppose n(y) = 0. What is y?
1, 3
Let i = 96721/76 - 24166/19. Find u, given that -i*u**2 + 3 - 3/4*u**3 + 3*u = 0.
-2, -1, 2
Let w(z) = 2*z**2 - 3*z - 37. Let l(f) be the third derivative of f**5/60 + f**3/6 + 59*f**2. Let j(a) = l(a) + w(a). Factor j(d).
3*(d - 4)*(d + 3)
Find q such that -2203*q**3 - q**5 + 381*q**3 - 22500 - 38348*q**2 + 9019*q**2 - 155*q**4 - 1090*q**3 - 45600*q - 3471*q**3 = 0.
-75, -2, -1
Factor 192 + 32*k - 8/3*k**3 + 4/3*k**4 - 92/3*k**2.
4*(k - 4)**2*(k + 3)**2/3
Let k(u) = 3*u - 27. Let i be k(10). Suppose -2*r = 4*z - 8*z + 34, -3*z = i*r - 39. Solve 78*n - z + 15*n**2 + 35 + 5 + 3*n = 0.
-5, -2/5
Suppose -4*w = -3*w. Suppose w = 5*s - 23 - 27. Factor 372*l**2 - 1 - 377*l**2 + 1 - s*l.
-5*l*(l + 2)
Let 1/4*h**5 - 1407/4*h - 21/2*h**4 + 441/2 + 32*h**2 + 219/2*h**3 = 0. What is h?
-2, 1, 21
Let i(v) be the third derivative of 0 - 69*v**2 + 17/8*v**4 + 5/3*v**3 + 3/4*v**5 + 0*v + 1/30*v**6. Factor i(t).
(t + 1)*(t + 10)*(4*t + 1)
Let z(g) be the second derivative of g**4/8 + 61*g**3/4 - 195*g**2 - 664*g - 1. Determine r so that z(r) = 0.
-65, 4
Let k(y) be the first derivative of -280 + 2/7*y**3 + 74/7*y**2 - 50/7*y. Factor k(n).
2*(n + 25)*(3*n - 1)/7
Let i = 1842 - 2085. Let s = i + 245. Factor 11/5*h**3 + 0 + 3/5*h**4 + 0*h + 6/5*h**s.
h**2*(h + 3)*(3*h + 2)/5
Let d = 638 + -635. Let z(i) be the first derivative of 4 - 1/6*i**2 + 0*i + 4/9*i**d - 4/15*i**5 + 1/12*i**4. Factor z(a).
-a*(a - 1)*(a + 1)*(4*a - 1)/3
Let t(a) = -9 - 96*a - 9 + 48*a + 26*a - a**2. Let u be t(-21). What is r in -12/7*r**2 - 3/7*r**u - 12/7*r + 0 = 0?
-2, 0
Let v = 49366 + -49362. Solve -33/7*m**2 - 9/7*m + 3/7*m**v + 9/7*m**3 + 30/7 = 0.
-5, -1, 1, 2
Factor g**4 - 485524*g**2 + 760244*g**2 + 72555348321 + 1341446*g**2 - 231*g**3 - 1845*g**3 - 559193436*g.
(g - 519)**4
Let q be (-5 - 12) + 16 + 11 - 6/(0 + 3). Factor -48/11 - 20/11*r**2 - q*r + 6/11*r**3.
2*(r - 6)*(r + 2)*(3*r + 2)/11
Solve -125/2*o + 5/4*o**4 + 30 + 175/4*o**2 - 25/2*o**3 = 0 for o.
1, 2, 3, 4
Let h(j) = -5*j**3 - 55*j**2 - 50*j. Let c(z) = -2*z**3 - 28*z**2 - 26*z. Let m = 47 - 42. Let n(t) = m*c(t) - 3*h(t). Find f, given that n(f) = 0.
-4, -1, 0
Let u(q) be the second derivative of -18 - 4/15*q**5 + 0*q**6 + 1/3*q**4 + 1/63*q**7 - 2*q**2 + 7/9*q**3 - 4*q. Determine m, given that u(m) = 0.
-3, -1, 1, 2
Factor -1208*m**2 - m**3 + 6*m**3 - 1030*m**2 + 425*m**2 + 203*m**2.
5*m**2*(m - 322)
Let u(o) be the first derivative of 47/4*o**2 - 207 - 24*o + 1/6*o**3. Factor u(f).
(f - 1)*(f + 48)/2
Suppose 3*q - 49 + 26 = 5*u, -3*q + 37 = 2*u. Factor -8/3*c - 4/3 + 1/3*c**4 - 1/3*c**u - 1/3*c**5 + 5/3*c**3.
-(c - 2)**2*(c + 1)**3/3
Let a(d) be the second derivative of d**5/30 - 19*d**4/6 + 260*d**3/9 - 16*d - 33. Factor a(m).
2*m*(m - 52)*(m - 5)/3
Factor 8/5*f - 28 + 4/5*f**2.
4*(f - 5)*(f + 7)/5
Let r(x) be the first derivative of 0*x - 1/5*x**4 + 2/15*x**6 - 1/15*x**3 + 0*x**2 - 7 + 1/25*x**5. Find a such that r(a) = 0.
-1, -1/4, 0, 1
Let c = -1187559/10 + 118757. Suppose 1/10*v**3 + 11/10*v**2 - 1/10*v - c = 0. Calculate v.
-11, -1, 1
Let t = -687 - -596. Let l = t + 369/4. Determine b, given that -15/2*b**2 + 2*b + 27/4*b**3 - l*b**4 + 0 = 0.
0, 2/5, 1, 4
Let x(u) be the first derivative of -2*u**3/15 + 4422*u**2/5 - 9777042*u/5 + 10332. Find p such that x(p) = 0.
2211
Let n(u) be the first derivative of -23/6*u**3 + 76 - 13/8*u**4 + 0*u - 1/10*u**5 - 11/4*u**2. Factor n(b).
-b*(b + 1)**2*(b + 11)/2
Let k(q) be the second derivative of -q**6/6 - 81*q**5/4 + 205*q**4/6 + 304*q - 1. Suppose k(h) = 0. What is h?
-82, 0, 1
Let y(a) = -6*a**3 - 648*a**2 - 16156*a + 75264. Let r(p) = 3*p**3 + 324*p**2 + 8076*p - 37632. Let g(b) = -7*r(b) - 3*y(b). Factor g(k).
-3*(k - 4)*(k + 56)**2
Let h(j) = -21*j - 69. Let d be h(-4). Solve 81*o**3 - 5301*o**2 + 5353*o**2 + d*o**3 + 8*o + 16*o**5 + 68*o**4 = 0 for o.
-2, -1, -1/4, 0
Let l(k) = -k**3 - 33*k**2 - 2*k - 62. Let o be l(-33). Factor o*c**4 - 6*c**2 + 42*c - 6*c**4 - 44*c - 16*c**3 + 10*c**3.
-2*c*(c + 1)**3
Suppose -228*c - 286 = -123*c - 116*c. Let s(o) be the first der