0 = 0. What is m?
-8, 0, 1/3, 1
Let u(t) be the second derivative of -3*t**5/20 + 822*t**4 - 1801824*t**3 + 1974799104*t**2 + 15704*t. Factor u(p).
-3*(p - 1096)**3
Let -11552/5*w**3 - 3666/5*w + 9424*w**2 + 72/5 = 0. Calculate w.
3/76, 4
Suppose 0*r - 1/5*r**5 - 18/5*r**2 + 0 - 6*r**3 + 23/10*r**4 = 0. What is r?
-1/2, 0, 6
Let 3948*b + 3299*b**3 - 6552*b**3 - 2104*b**2 + 208 + 3292*b**3 = 0. Calculate b.
-2/39, 2, 52
Let h be (19 - 523)/(-24) - 21. Let y(p) be the second derivative of h + 0*p**2 - 5*p + 1/4*p**4 - 1/2*p**3. Factor y(c).
3*c*(c - 1)
Factor 307/2 + 154*a + 1/2*a**2.
(a + 1)*(a + 307)/2
Suppose 1068/7*a + 3/7*a**3 + 900/7 + 171/7*a**2 = 0. Calculate a.
-50, -6, -1
Suppose -144/5 - 53/5*i**2 - 198/5*i + 2/5*i**3 + 1/5*i**4 = 0. Calculate i.
-6, -3, -1, 8
Suppose -5*y - 2*r + 40 = 0, -8*y - 7 = -5*y - 5*r. Suppose -y*z + 100 = 4*z. Let 5*x**4 + x**4 + 3*x**4 - z*x**4 = 0. What is x?
0
Let m(a) be the first derivative of -1/27*a**3 + 0*a**2 - 2*a + 1/90*a**5 + 0*a**4 + 4. Let n(i) be the first derivative of m(i). Factor n(f).
2*f*(f - 1)*(f + 1)/9
Let l = 395420 - 395417. What is d in -l*d**5 + 0*d**2 + 0 - 20/3*d**4 + 0*d - 4/3*d**3 = 0?
-2, -2/9, 0
Let y be -1 - -1 - (-7 + -1). Let c = -2296 + 2298. Factor -7*w**c - w + y*w**2 - 2*w**2.
-w*(w + 1)
Let j(k) be the second derivative of k**8/26880 - k**7/2016 + k**6/720 + 9*k**4/4 - k**2 + 2*k. Let i(s) be the third derivative of j(s). Factor i(x).
x*(x - 4)*(x - 1)/4
Suppose -1 + 97 = 4*a. Determine l, given that -2*l - 9*l**3 - 44*l**2 - 24*l + 8 + a*l**2 - 23*l**2 = 0.
-4, -1, 2/9
Let v(w) = -8*w**2 - 639*w - 631. Let q(r) = -7*r**2 - 639*r - 632. Let b(h) = 5*q(h) - 4*v(h). What is a in b(a) = 0?
-212, -1
Determine t, given that -91 + 339 + 23*t + 280*t**2 - 541*t**2 + 260*t**2 = 0.
-8, 31
Let y = -5985 + 29926/5. Let j(k) be the first derivative of 1/20*k**4 + 1/5*k**2 + 0*k - 12 + y*k**3. Factor j(l).
l*(l + 1)*(l + 2)/5
Let c(m) be the second derivative of 5*m**7/14 + 17*m**6/10 - 177*m**5/20 - 101*m**4/4 - 15*m**3 - 6035*m. Solve c(h) = 0 for h.
-5, -1, -2/5, 0, 3
Suppose 128*i = 127*i - 10. Let n be (0 - (1 - -2))*i/15. Let -11*o**3 - 8*o**3 + 16*o**n + 12*o**3 - 4*o = 0. What is o?
0, 2/7, 2
Let p(v) be the first derivative of v**4/7 - 64*v**3/21 + 146*v**2/7 - 360*v/7 - 86. Solve p(w) = 0.
2, 5, 9
Let t(i) = -4*i**2 - 5*i - 3. Let l be t(3). Let c = 58 + l. Factor 2*s**3 - 4*s**2 - 2*s**3 - 2 + 4 + 2*s**c.
2*(s - 1)**2*(s + 1)**2
Factor -141/4 + 1/4*j**2 - 35*j.
(j - 141)*(j + 1)/4
Factor 16656*y - 24438680 + 345736*y**2 + 7099784 - 345740*y**2.
-4*(y - 2082)**2
Factor 21431*g**3 - 1680 + 391*g + 369*g - 21436*g**3 - 65*g**2.
-5*(g - 4)**2*(g + 21)
Let i(g) be the second derivative of -4*g**7/315 - 2*g**6/15 - g**5/2 - 3*g**4/4 + 95*g**2 + 204*g. Let n(v) be the first derivative of i(v). Factor n(h).
-2*h*(h + 3)*(2*h + 3)**2/3
Let l(b) = -474*b**2 - 466*b - 876. Let n(a) = -89*a**2 - 93*a - 175. Let q(f) = -3*l(f) + 16*n(f). Suppose q(s) = 0. What is s?
-43, -2
Let h = -3090 + 12763/4. Let f = h + -100. Factor -3/8*w**3 - 3/4 + 3/8*w + f*w**2.
-3*(w - 2)*(w - 1)*(w + 1)/8
Let f(o) = 2*o**3 + 52*o**2 - 75*o + 41. Let m(j) be the first derivative of -j**4/4 - 2*j**3/3 - j - 62. Let t(c) = f(c) + 5*m(c). Factor t(l).
-3*(l - 12)*(l - 1)**2
Let a be (-228)/(-4446)*(-13)/(-2). Factor -2/3 + a*v**2 + 1/3*v.
(v - 1)*(v + 2)/3
Suppose 10*g + 16*g - 34 + 35 - 8 + g**2 - 20*g = 0. Calculate g.
-7, 1
Let z be ((-2)/(-3))/(12/45). Let n be (6665/(-310) + 2*11)/(2/34). Suppose -n*o - 3 - z*o**2 = 0. What is o?
-3, -2/5
Let k(x) be the second derivative of 5*x - 7/180*x**6 + 0*x**2 - 3 + 7/72*x**4 + 1/18*x**3 - 1/60*x**5. Solve k(b) = 0.
-1, -2/7, 0, 1
Let k(z) be the first derivative of 8/3*z**2 + 1/9*z**3 + 79 + 0*z. Suppose k(o) = 0. Calculate o.
-16, 0
Let f = -1520 - -1520. Let j(x) be the third derivative of f*x - 1/3*x**4 - 3*x**2 - 1/15*x**5 + 0*x**3 + 0. Factor j(v).
-4*v*(v + 2)
Factor 18*c - 330 - c - 64*c + c**2 + 24*c.
(c - 33)*(c + 10)
Let p = 12 + 60. Determine v, given that -21*v**2 - 50*v - p*v**2 - 26*v**3 - 99*v**2 - 22*v + 10*v**4 = 0.
-3, -2/5, 0, 6
Let s(p) = -17*p**2 + 7922*p - 5227196. Let w(a) = 58*a**2 - 23767*a + 15681586. Let j(c) = 7*s(c) + 2*w(c). Find n, given that j(n) = 0.
1320
Let j be (-1)/(12/(-8)) - (-1931)/(-3). Let z = 1931/3 + j. What is v in -z*v**3 + 0*v + 2/3*v**2 + 0 = 0?
0, 1
Let i(d) = -55*d**3 + 104*d**2 - 37*d. Let w(h) = 28*h**3 - 52*h**2 + 20*h. Let o(f) = 4*i(f) + 7*w(f). Factor o(q).
-4*q*(q - 2)*(6*q - 1)
Suppose 605 + 1595 = 11*b. Let z be (b/105)/(6/7). Factor z - 2/9*i**2 + 2*i.
-2*(i - 10)*(i + 1)/9
Let s(a) be the second derivative of -3*a**6/50 - 114*a**5/25 - 123*a**4/10 - 24*a**3/5 + 147*a**2/10 - 6358*a. Determine j so that s(j) = 0.
-49, -1, 1/3
Let p be (-2)/(2/3*(-27)/36). Factor -12*s**5 - 5*s**p - 75*s**3 - 132*s**2 - 87*s**3 - 24*s - 13*s**4 - 57*s**4.
-3*s*(s + 2)**3*(4*s + 1)
Suppose -153*i = -102*i - 99*i. Determine n so that -4/9*n**2 + i + 2/9*n + 2/9*n**3 = 0.
0, 1
Let d(x) be the first derivative of -x**3/3 + 7*x**2/2 + 5*x - 28. Let v be d(7). Solve 22*u**4 - 34*u**4 - 2*u**v - 33*u**2 + 17*u**2 - 24*u**3 = 0 for u.
-2, 0
Let q be (-199)/(-88) - (-15)/(-432)*18. Factor -q*k**2 - 2/11*k**3 - 46/11*k - 30/11.
-2*(k + 1)*(k + 3)*(k + 5)/11
Let v(z) be the third derivative of z**6/720 - z**5/8 - 88*z**3/3 + 198*z**2. Let j(h) be the first derivative of v(h). Factor j(r).
r*(r - 30)/2
Let v(t) be the second derivative of t**8/210 - t**7/630 - 5*t**3/3 - t**2 + 64*t. Let j(c) be the second derivative of v(c). Factor j(w).
4*w**3*(6*w - 1)/3
Suppose 3*m = 2 + 4. Suppose 5*v + 4 = -1, 3*c - 17 = 2*v. Factor -m*q**2 + 1 - 1 - 3*q**2 + 10*q - c.
-5*(q - 1)**2
Let y(o) be the second derivative of -o**5/30 - 19*o**4/18 + 3*o - 82. Factor y(u).
-2*u**2*(u + 19)/3
Let m(k) = -k**5 + 16*k**4 + 89*k**3 + 128*k**2 - 232*k + 40. Let l(d) = -d**4 + d**3 + d**2 - d - 5. Let b(s) = 40*l(s) + 5*m(s). What is w in b(w) = 0?
-4, 0, 1, 15
Let c = 556 - 594. Let b = 40 + c. Factor 0 - 12/5*x**b - 6/5*x - 6/5*x**3.
-6*x*(x + 1)**2/5
Let i be (-1 + -10)/(-2 + 1). Let s be (-22)/(-187) - -12*48/306. Determine o, given that -11*o - 2*o**s + i*o = 0.
0
Let m = 6585/16 - 32669/80. Factor -2/15*y**2 - 46/15*y + m.
-2*(y - 1)*(y + 24)/15
Suppose 55*s**2 - 197*s + 34*s**2 + 38*s**2 - 263 - 126*s**2 - 65*s = 0. Calculate s.
-1, 263
Suppose 266 - 2*i**2 + 289*i - 706*i + 153*i = 0. What is i?
-133, 1
Let d be -8 - (-6 - -778) - -6. Let p = d - -776. Let 0 - 20/7*j**4 - 16/7*j**p + 4/7*j**5 + 32/7*j**3 + 0*j = 0. Calculate j.
0, 1, 2
Let h be 11 - 6 - (-1 - 2 - -9). Let v(y) = -35*y**4 - 185*y**3 - 230*y**2 - 60*y + 10. Let m(f) = f**4 + f**2 - 1. Let k(s) = h*v(s) - 10*m(s). Factor k(x).
5*x*(x + 1)*(x + 6)*(5*x + 2)
Determine m, given that 1378420 - 2188081*m - 28310*m**3 + 748*m**4 + 69516*m**2 - 108*m**4 + 364196*m - 5*m**5 + 240905*m**2 + 162719*m**2 = 0.
1, 4, 41
Determine m, given that 61/2*m + 2121/4 + 1/4*m**2 = 0.
-101, -21
Let r = -20048 - -20052. Let n(h) be the second derivative of 1/9*h**r + 1/3*h**2 + 9*h + 1/60*h**5 + 0 + 5/18*h**3. Solve n(c) = 0.
-2, -1
Let a(u) = 1409*u**2 - 1411*u + 4. Let r be a(1). Factor -52/5*n**3 - 432/5*n + 3/5*n**4 + 288/5*n**r - 432/5.
(n - 6)**3*(3*n + 2)/5
Factor 153/5*x**4 + 0*x + 0 - 81/5*x**5 - 88/5*x**3 + 16/5*x**2.
-x**2*(x - 1)*(9*x - 4)**2/5
Factor 10*k**4 - 257*k**2 - 1623147*k - 435*k**3 + 37*k**2 + 1623147*k.
5*k**2*(k - 44)*(2*k + 1)
Let d = -638 - -640. Suppose -9*x + 22 = -7*x + 3*u, -d*x - 2*u + 18 = 0. Factor 1/8 - 1/8*y + 1/4*y**3 - 1/8*y**x - 1/4*y**2 + 1/8*y**4.
-(y - 1)**3*(y + 1)**2/8
Solve -2/19*f**2 - 1300/19 + 654/19*f = 0 for f.
2, 325
Let n(w) be the third derivative of w**5/390 - 67*w**4/156 - 518*w**3/39 - 16*w**2 + 13*w + 1. Let n(t) = 0. What is t?
-7, 74
Factor -638719356 + 3146553*r + 4*r**3 + 120131202 - 8190*r**2 - 295268526 + r**3 + 1325187*r.
5*(r - 546)**3
Let g(o) = -6*o**3 - 2*o**2 + 20*o + 19. Let w be g(-5). Let h = 619 - w. Let -1/8*i**4 + h*i + 0*i**3 + 0 + 1/8*i**2 = 0. Calculate i.
-1, 0, 1
Factor 4 - 1/3*i**4 + 20/3*i + i**2 - 2*i**3.
-(i - 2)*(i + 1)**2*(i + 6)/3
Suppose 3*x = -m + 18, -3271*x = -3275*x - 2*m + 32. Factor 243/4*o**x + 6561/4*o + 5904