3*b**2/2 + 2*b - 107. Let z(u) be the second derivative of h(u). Factor z(n).
-5*n*(n - 2)*(n + 1)*(n + 3)
Factor -2/21*o**2 - 2328482/21 - 4316/21*o.
-2*(o + 1079)**2/21
Let k(z) be the first derivative of -z**6/15 + 152*z**5/25 - 464*z**4/5 - 38144*z**3/15 - 87296*z**2/5 - 247808*z/5 - 6796. Find t such that k(t) = 0.
-4, 44
Let f(d) be the second derivative of 0 + 13/9*d**4 - 14/9*d**3 + 38*d + 2/3*d**2 + 1/5*d**5 - 4/5*d**6. Let f(t) = 0. What is t?
-1, 1/3, 1/2
Let y(g) be the second derivative of -g**7/315 + 269*g**6/225 - 4751*g**5/30 + 655291*g**4/90 + 2914912*g**3/45 + 3014284*g**2/15 - 117*g. Factor y(o).
-2*(o - 91)**3*(o + 2)**2/15
Suppose -4*n - 2*c + 22 = 0, 11*n - 9*n - 4*c + 44 = 0. Solve -2/5*f**2 + n - 1/5*f**3 + 3*f = 0 for f.
-5, 0, 3
Suppose 0 = 6*g - 4*s + 20, -18 = -5*g + 215*s - 216*s. Suppose -40*a**g - 2645/2 + 460*a = 0. Calculate a.
23/4
Let j(q) be the first derivative of -q**4/2 + 58*q**3/3 + 30*q**2 + 4873. Factor j(r).
-2*r*(r - 30)*(r + 1)
Let a = 190166 + -1331102/7. Factor -768/7 + 960/7*y - 396/7*y**2 - 3/7*y**4 + a*y**3.
-3*(y - 8)**2*(y - 2)**2/7
Let p(w) = 3*w**2 + 83*w + 322. Let q(t) = 11*t**2 + 316*t + 1290. Let h(f) = -15*p(f) + 4*q(f). What is g in h(g) = 0?
-11, 30
Let v(m) be the first derivative of m**3 + 96*m**2 + 123. What is a in v(a) = 0?
-64, 0
Let h = -207/4249 + 2/1821. Let v = 9/7 - h. Factor v + 1/3*n**3 - 7/3*n + 2/3*n**2.
(n - 1)**2*(n + 4)/3
Let j = -144 + 389. Let q be ((-6)/25)/((-147)/j). Factor -8/5 - q*o**2 + 2*o.
-2*(o - 4)*(o - 1)/5
Let y = 2305/26796 - 6/2233. Let p(c) be the third derivative of 0*c - 35*c**2 - y*c**5 + 5/3*c**3 + 0 + 5/24*c**4. Let p(l) = 0. Calculate l.
-1, 2
Let f be (-20224)/1988*(-2)/(-3). Let m = 16/213 - f. What is u in -36/7*u**4 - 4/7*u**3 + 2*u - 10/7*u**5 - 12/7 + m*u**2 = 0?
-3, -1, 2/5, 1
Let r(s) = s**2 - 48*s - 31820. Let p be r(-156). Let 10 - 1/2*t**2 - p*t = 0. Calculate t.
-10, 2
Let v = 4907 - 19625/4. Let k(n) be the first derivative of -1/8*n**3 + v*n**2 + 3/2*n - 3/32*n**4 - 20. Factor k(j).
-3*(j - 2)*(j + 1)*(j + 2)/8
Let o(s) be the first derivative of -23/2*s**2 - 34/3*s**3 - 6*s**4 - 8/5*s**5 - 6*s - 1/6*s**6 + 19. Factor o(q).
-(q + 1)**3*(q + 2)*(q + 3)
Let a(j) be the second derivative of -j**5/4 + 225*j**4 - 1795*j**3/2 + 1345*j**2 + 1845*j. Determine b, given that a(b) = 0.
1, 538
Let l be (114 + 0)*20/40. Suppose -2*b + 2*c + l = 43, -3*b = 2*c - 16. Let 3/2*a**4 - 33/4*a**3 + 12 - b*a**2 + 3/4*a**5 + 15*a = 0. Calculate a.
-4, -1, 2
Let x(w) = 20*w + 27. Let c be x(-1). Let a(l) = l**3 - 3*l**2 - 30*l + 17. Let o be a(c). Factor -1/2*k**o + 0 + 0*k + 0*k**2 - 1/2*k**4.
-k**3*(k + 1)/2
Let m(y) be the first derivative of 0*y - 1/4*y**4 + 0*y**3 - 1/35*y**5 + 0*y**2 + 49. Suppose m(q) = 0. What is q?
-7, 0
Let m be 4 - -2 - (-7)/(35/(-20)). Let 15*z - 15*z - 4*z**m - 8*z - 4 = 0. Calculate z.
-1
Let b(v) = -4*v**2 + 1225*v + 299. Let u(q) = -612*q - 150. Let o(r) = 2*b(r) + 5*u(r). Factor o(z).
-2*(z + 76)*(4*z + 1)
Let x be 681 - (-5)/(-2)*(-4)/(-10). Let o = x + -2039/3. Solve -1/3*k**5 + o*k + 0 - 2/3*k**2 + 0*k**3 + 2/3*k**4 = 0.
-1, 0, 1
Let i(u) = u**3 + 6*u**2 - 14*u + 19. Let l be i(-8). Factor 3*m**2 - 10*m - 6*m**3 + 2*m**3 + l*m - 3 + 11*m.
-(m - 1)*(m + 1)*(4*m - 3)
Let v(w) = 112*w + 5976. Let h be v(-53). Let 36*m + 48/5*m**2 + h + 4/5*m**3 = 0. Calculate m.
-5, -2
Let j(i) be the first derivative of i**4/4 + 185*i**3/3 + 274*i**2 + 364*i - 4145. Factor j(v).
(v + 1)*(v + 2)*(v + 182)
Let i(k) be the second derivative of k**5/160 + 3*k**4/32 - 145*k**3/48 - 153*k**2/16 + 7700*k. Factor i(a).
(a - 9)*(a + 1)*(a + 17)/8
Factor 80 - 65/3*w**3 - 484/3*w + 308/3*w**2 + 1/3*w**4.
(w - 60)*(w - 2)**2*(w - 1)/3
Let d(n) be the first derivative of 4*n**5/35 - 89*n**4/7 + 3200*n**3/7 - 22528*n**2/7 - 131072*n + 421. Factor d(f).
4*(f - 32)**3*(f + 7)/7
Let u(d) be the first derivative of d**4 - 76*d**3/3 + 126*d**2 - 180*d - 729. Solve u(r) = 0.
1, 3, 15
Factor 0*x + 1722/5*x**2 + 0 - 3/5*x**3.
-3*x**2*(x - 574)/5
Let g = -3809 + 91417/24. Let w(m) be the second derivative of g*m**4 - 13*m + 0*m**2 - 1/6*m**3 + 0. Let w(l) = 0. Calculate l.
0, 2
Let 133*m**2 + 26040*m + 1198507 - 88*m**2 + 2075581 + 919984 - 426952 = 0. Calculate m.
-868/3
Suppose 0 = -6*q + 5*q - 4*d - 433, 5*d + 1292 = -3*q. Let z = -425 - q. Solve -3*a**2 - 6*a - z - 1/2*a**3 = 0 for a.
-2
Let v = -96 - -167. Factor 36*s**2 - 81*s**3 + 83*s**3 + 321 + v + 210*s.
2*(s + 4)*(s + 7)**2
Let i(q) be the third derivative of -q**6/40 - 43*q**5/300 - 7*q**4/30 - 13*q**2 + 15. Determine o, given that i(o) = 0.
-28/15, -1, 0
Let v be -4 + (-5)/(3/((-18)/10)). Let o be v/(-3)*-2*-1. Factor o*c + 2/3*c**2 + 1/6*c**3 + 0.
c*(c + 2)**2/6
Let m = 298279 - 298277. Determine v, given that -8/5*v**3 - 8/5 + 6/5*v**m + 8/5*v + 2/5*v**4 = 0.
-1, 1, 2
Let c = 4 + 10. Let x(m) = m**2 - 14*m + 3. Let f be x(c). Find b, given that -b - f*b**2 + 9 + 3*b + 4*b = 0.
-1, 3
Let m be ((-4)/15)/((-107)/((-50076)/(-208))). Find x, given that 0 - 9/5*x**3 + 3/5*x**4 - m*x + 9/5*x**2 = 0.
0, 1
Let w(a) be the second derivative of -3*a**5/10 + 659*a**4/3 - 1753*a**3/3 + 438*a**2 - 6148*a. Factor w(t).
-2*(t - 438)*(t - 1)*(3*t - 1)
Let b(k) = 13*k**2 + 42*k + 101. Let c(a) = -3*a**2 - 2*a - 2. Let h(r) = -b(r) - 4*c(r). Determine q so that h(q) = 0.
-31, -3
Let g = 18 + -14. Factor 10 + g + 21*f + 6 - 3*f**2 + 4*f**2.
(f + 1)*(f + 20)
Let s = 2/9533 + 27899/3336550. Let v(j) be the third derivative of 1/30*j**3 + 11/150*j**5 + 1/25*j**6 + 1/15*j**4 + s*j**7 + 0 - 10*j**2 + 0*j. Factor v(x).
(x + 1)**2*(3*x + 1)**2/5
Let q(r) = -35*r**2 - 116*r + 57. Let i = -375 + 379. Let y(f) = -35*f**2 - 113*f + 56. Let u(d) = i*q(d) - 3*y(d). Factor u(n).
-5*(n + 4)*(7*n - 3)
What is x in -45350/3*x + 2/3*x**5 - 1156*x**3 - 9500 - 20120/3*x**2 - 196/3*x**4 = 0?
-5, -1, 114
Let i(x) = 31*x - 221. Let l(r) = -6*r + 44. Let g(s) = -2*i(s) - 11*l(s). Let p be g(13). Factor -5*o**3 + p - 25*o - 2*o**2 - 8*o**2 + 15*o**2 + 15*o**2.
-5*(o - 2)*(o - 1)**2
Factor -3384 + 3309*u**4 - 2328*u - 6609*u**4 - 72*u**3 + 3298*u**4 + 986*u**2.
-2*(u - 6)**2*(u + 1)*(u + 47)
Suppose -v + 396 = -2*j, 25*j - 616 = 28*j + 4*v. Let t be 90/j - 10/(-8). Let 4*q**2 + 0 + 12/5*q + t*q**3 - 4/5*q**4 = 0. Calculate q.
-1, 0, 3
Let g(r) be the third derivative of r**5/20 - r**4/12 - r**3/6 + 6*r**2. Let i be g(2). Factor -i*m**4 + 6*m**4 - 11*m**4 + 52*m**3 + 12*m - 52*m**2 + 0*m.
-4*m*(m - 3)*(m - 1)*(3*m - 1)
Let a(i) = -i**2 - 10416*i + 1816560. Let n(o) = o**2 + 3471*o - 605520. Let s(z) = 3*a(z) + 8*n(z). Suppose s(t) = 0. What is t?
348
Let s be -2*(-186)/54 - (31 - 27). Let s*j + 4/9*j**3 + 8/9 + 22/9*j**2 = 0. Calculate j.
-4, -1, -1/2
Suppose 0 = -h + 4, 3*h - 1 = 5*r - 9. Suppose 32 = r*k + k + 4*c, -4*c = -12. Factor -10*s - 2 + 7*s + 10*s + k*s**2.
(s + 2)*(4*s - 1)
Let f(j) be the second derivative of 13*j - 289/12*j**2 - 1/72*j**4 + 0 - 17/18*j**3. Factor f(m).
-(m + 17)**2/6
Let g(v) be the first derivative of -v**6/120 - 49*v**5/40 - 6*v**4 - 2*v**3/3 + 34*v - 109. Let p(j) be the third derivative of g(j). Factor p(z).
-3*(z + 1)*(z + 48)
Let n(t) = 4268*t**2 + 3910*t - 7. Let g(b) = -1413*b**2 - 1303*b + 2. Let z(w) = 13*g(w) + 4*n(w). Determine l so that z(l) = 0.
-1, -2/1297
Let q be 13410/(-24585) - (-40)/33. What is s in -8/9 + 2/9*s**2 - q*s = 0?
-1, 4
Suppose 17*u - 150 = 12*u. Let i be 48/9 - 5*2/u. Find x, given that 0*x**4 + 64*x**3 - 4*x**i + 7*x**4 - 62*x**3 = 0.
-1/4, 0, 2
Let s(y) be the first derivative of 11*y**6/600 + y**5/10 - y**4/10 + y**3/3 - 182. Let w(l) be the third derivative of s(l). Suppose w(x) = 0. Calculate x.
-2, 2/11
Let g be 2 - (0 - 0) - (346492/812)/(-29). Factor 0 + 24/7*h - 15/7*h**3 - g*h**2.
-3*h*(h + 8)*(5*h - 1)/7
Let g be ((-160)/144)/(100/(-30)). Let r(w) be the third derivative of 27*w**2 + 0 - 3/14*w**5 + 0*w - 4/21*w**3 - g*w**4. Suppose r(z) = 0. Calculate z.
-2/5, -2/9
Let f(x) be the third derivative of x**8/4480 + x**7/560 - x**5/20 - 17*x**4/8 + 37*x**2. Let a(l) be the second derivative of f(l). Factor a(h).
3*(h - 1)*(h + 2)**2/2
Find x, given that -1535/2*x**2 - 2750*x**3 + 172*x + 91/2 - 32*x**5 + 632*x**4 = 0.
-1/4, 1/4, 7, 13
Suppose 0*w**3 + 0 - 1/7*w**