**2 + 210*z + 136. Let m(t) = -21*t**3 + 74*t**2 + 209*t + 134. Let x(u) = -8*m(u) + 10*y(u). Determine k, given that x(k) = 0.
-2, -1, 72
Let 187 - 79/4*i + 1/4*i**2 = 0. Calculate i.
11, 68
Factor 224 - 144*w - 136*w**2 - 144948*w**4 + 83*w**3 + 4*w**5 + 81*w**3 + 144900*w**4 + 30*w**2 - 46*w**2.
4*(w - 7)*(w - 2)**3*(w + 1)
Let c(j) be the third derivative of -j**6/600 - 13*j**5/50 - 51*j**4/40 - 38*j**3/15 - 396*j**2. Solve c(r) = 0.
-76, -1
Let m = 3098/73 + -77304/1825. Factor -m*v**2 - 68/25*v - 66/25.
-2*(v + 1)*(v + 33)/25
Let y(o) = -6*o**5 - 26*o**4 + 45*o**3 - 29*o**2 + 7*o. Let s(v) = -v**5 - 2*v**4 + 3*v**2 + v. Let i(c) = 21*s(c) - 3*y(c). Factor i(g).
-3*g**2*(g - 5)**2*(g - 2)
Let a(m) be the second derivative of m**5/16 - 23*m**4/48 + 5*m**3/12 + m**2 - 45*m + 11. Factor a(w).
(w - 4)*(w - 1)*(5*w + 2)/4
Let x be (2 - (-3)/(-2))*2. Let l(p) be the second derivative of p**4/4 - 19*p**3/6 + 9*p**2 + 2060*p. Let s(q) = -q. Let k(t) = x*l(t) + 2*s(t). Factor k(j).
3*(j - 6)*(j - 1)
Let n = 3590654/15 + -239376. Find r, given that 8/5*r**2 + 2/5*r - 4/15 + n*r**3 = 0.
-1, 2/7
Let -16644*s**2 + 33242*s**2 - 624 + 428*s - 16658*s**2 + 3*s**3 - 2*s**3 = 0. What is s?
2, 6, 52
Suppose -2*f = 2*k - 10338, f + 2 - 1 = 0. Let v = k + -25718/5. What is o in -v*o - 4/5*o**3 - 36/5 + 47/5*o**2 = 0?
-1/4, 6
Let f be 25 - ((-3458)/(-114) + -10). Factor f*r - 1/3*r**2 + 0.
-r*(r - 14)/3
Let b(g) = -g**4 - 17*g**3 + 135*g**2 + 199*g + 110. Let v(r) = -2*r**4 - 16*r**3 + 168*r**2 + 199*r + 110. Let c(n) = -3*b(n) + 2*v(n). Factor c(y).
-(y - 11)*(y - 10)*(y + 1)**2
Let f(r) be the first derivative of -r**5/12 - 5*r**4/3 - 25*r**3/2 + 15*r**2 - 7. Let j(t) be the second derivative of f(t). Solve j(s) = 0.
-5, -3
Let j(d) be the third derivative of -7*d**2 - d**3 + 1/120*d**5 + 1/12*d**4 + 0 + 0*d. Determine l so that j(l) = 0.
-6, 2
Let p = -116 + 125. Let t be p/(0 + 3) - -1*9. Let -4*w**5 + 31*w**2 - 330 - t*w**4 - 3*w**2 + 314 + 4*w**3 = 0. Calculate w.
-2, -1, 1
Suppose 2*f = 4*i - 18, -44 + 32 = -2*i + 2*f. Let s be (1 - -2 - i)/(10 - 7). Suppose 3/4*g**3 + s + 3/4*g + 5/2*g**2 = 0. Calculate g.
-3, -1/3, 0
Let u be 1/((8/(-42))/(-4)). Suppose i**2 + 2*i**2 - 24 + 0*i**2 + u*i - 2*i**2 + 2*i**2 = 0. What is i?
-8, 1
Let w(p) be the second derivative of 7*p**5/6 + p**4/9 - 35*p**3/9 - 2*p**2/3 + 62*p - 4. Suppose w(i) = 0. Calculate i.
-1, -2/35, 1
Let y(x) be the first derivative of 4/3*x**3 - 12*x**2 - 46 - 28*x. Let y(d) = 0. What is d?
-1, 7
Let s(m) be the third derivative of m**5/100 - 9*m**4/10 + 34*m**3/5 - 1567*m**2. Suppose s(n) = 0. What is n?
2, 34
Let g = -719 + 723. Suppose 2*p + 2 = t, 10*p - 8*p + 2 = -g*t. Factor 0 + 3/2*i**3 + t*i + 3/4*i**2.
3*i**2*(2*i + 1)/4
Suppose 0 = -27049*y + 27001*y + 96. Let u(l) be the first derivative of -3/5*l**5 - 54*l**3 + 162*l**y + 9*l**4 - 243*l + 15. Factor u(p).
-3*(p - 3)**4
Let i(r) = 35*r**4 + 136*r**3 + 366*r**2 + 350*r + 121. Let p(u) = -65*u**4 - 271*u**3 - 731*u**2 - 700*u - 241. Let m(n) = -11*i(n) - 6*p(n). Factor m(y).
5*(y + 1)**3*(y + 23)
Let g(z) = -7*z - 542. Let j be g(-78). Let o(d) be the first derivative of -2/85*d**5 - 8/17*d**3 - 3/17*d**j - 10/17*d**2 - 9 - 6/17*d. Factor o(x).
-2*(x + 1)**3*(x + 3)/17
Suppose 0 = 3*d + 12 + 3, 4*l + d = 15. Factor 5*g**5 + l*g**5 + 13*g**4 + 2*g + 12 - 3*g**4 - 60*g**3 - 5*g**4 - 9*g**4 - 56*g**2.
2*(g - 3)*(g + 1)**3*(5*g - 2)
Let o(b) = -b**3 + 3*b**2 + 4*b. Let i be o(4). Suppose z - 5*q = 12, q = -2*z + 2 - i. Factor -7*h**3 - 20*h - 10*h**2 - h**4 - 7*h**z - 8 - h**2.
-(h + 1)*(h + 2)**3
Let h(v) be the first derivative of -132 - 24*v - 35/3*v**2 + 2/9*v**3. Factor h(s).
2*(s - 36)*(s + 1)/3
Factor 397/4*w - 1/4*w**3 + 17/2*w**2 - 215/2.
-(w - 43)*(w - 1)*(w + 10)/4
Let p(k) be the first derivative of 1/18*k**4 + 230 - 64/9*k**3 + 1024/3*k**2 - 65536/9*k. Factor p(f).
2*(f - 32)**3/9
Let y(b) be the second derivative of b**7/14 + 13*b**6/10 + 9*b**5/2 - 61*b**4/2 - 287*b**3/2 - 441*b**2/2 + 4307*b. Let y(s) = 0. Calculate s.
-7, -1, 3
Let k be (8 + 1930/(-245))/(9/14). Let t(l) be the third derivative of 33*l**2 + k*l**3 - 1/210*l**5 + 0 + 1/420*l**6 - 1/21*l**4 + 0*l. Factor t(y).
2*(y - 2)*(y - 1)*(y + 2)/7
Let v(l) be the first derivative of l**4/14 + 86*l**3/21 - l**2/7 - 86*l/7 + 207. Solve v(c) = 0 for c.
-43, -1, 1
Solve 1/2*z**5 - 1/2*z**4 + 6*z + 1/2*z**2 + 0 - 13/2*z**3 = 0.
-3, -1, 0, 1, 4
Factor 1109254*y**2 - 24433248/11*y + 2/11*y**4 + 12221568/11 + 9884/11*y**3.
2*(y - 1)**2*(y + 2472)**2/11
Let c(m) be the second derivative of -5*m**3 - 65/12*m**4 + 56*m + 0*m**2 - m**5 + 1/2*m**6 + 0. Factor c(k).
5*k*(k - 3)*(k + 1)*(3*k + 2)
Let m = -2456822/63 + 272981/7. Determine q so that 0 + 2/9*q**4 - 2/9*q**2 - m*q + 0*q**3 + 1/9*q**5 = 0.
-1, 0, 1
Suppose -1 = -4*u + 15. Suppose y = -u*g + 11, 0 + 14 = 4*g + 2*y. Suppose 4*k**g - 4*k**4 - 3*k - 2*k**5 + 10*k - 5*k = 0. Calculate k.
-1, 0, 1
Let q(g) = 30*g**2 - 40*g + 21. Let r(o) = -16*o**2 + 20*o - 10. Let a be (-8)/28 + 40/(-7). Let m(x) = a*q(x) - 11*r(x). Factor m(b).
-4*(b - 4)*(b - 1)
Suppose -692*u = 272*u - 1404 - 1488. Suppose -8/3*s**5 - 2/3*s**2 - 6*s + 2*s**4 + 26/3*s**u - 4/3 = 0. What is s?
-1, -1/4, 1, 2
Let g(s) be the second derivative of 0*s**2 + 0 + 340*s - 115/12*s**4 - 35/3*s**3 - 3/4*s**5. Factor g(i).
-5*i*(i + 7)*(3*i + 2)
Let v(t) be the third derivative of t**7/1680 + 11*t**6/120 - 3*t**5/16 - 11*t**4/24 + 89*t**3/48 + 314*t**2. Factor v(o).
(o - 1)**2*(o + 1)*(o + 89)/8
Let a(z) be the third derivative of z**6/220 - 49*z**5/110 + 639*z**4/44 - 2511*z**3/11 + 24*z**2 - 11. Find k, given that a(k) = 0.
9, 31
Suppose -88*x + 48 = -29 - 99. Let c(u) be the first derivative of -5/4*u**4 + 40*u - 10*u**3 + u**5 + 10*u**x - 22. Factor c(d).
5*(d - 2)**2*(d + 1)*(d + 2)
Let o be (-12 + 2 + 0 + 0)*2. Let q be (3 - o/(-16))*4. Let 0*y - y**2 - q + 5 - 3*y = 0. Calculate y.
-2, -1
Let j(y) = -2 + 4 + y**3 - 15*y + 6 - 7*y**2. Let m be j(10). Suppose 158 + 4*d - m - 3*d**3 + d**4 = 0. What is d?
-1, 0, 2
Let -1/10*j**2 - 46/5 + 93/10*j = 0. What is j?
1, 92
Let n = -68 + 59. Let k be (n/(-54) - (-1)/(-6))*1. Factor 4*s**2 - s**3 - 4 + k*s - 3*s - s + 5*s**3.
4*(s - 1)*(s + 1)**2
Factor 1/5*o**2 - 546/5 + 71/5*o.
(o - 7)*(o + 78)/5
Let k = 19123 - 56191/3. Let f = 393 - k. Find h such that 1/3*h + 0*h**2 + 0 + f*h**5 - 2/3*h**3 + 0*h**4 = 0.
-1, 0, 1
Let l be 4/28*(-35)/(-60). Let p(o) be the second derivative of -1/18*o**3 + 37*o + 1/3*o**2 + 0 + 1/60*o**5 - l*o**4 + 1/90*o**6. Find a, given that p(a) = 0.
-2, -1, 1
Let t(o) = 1159*o - 98510. Let d be t(85). Factor -81 + 12*k**3 + 297/2*k + 2*k**4 - 1/2*k**d - 81*k**2.
-(k - 3)**3*(k - 1)*(k + 6)/2
Let r = -948 - -953. Let h(j) be the third derivative of 6*j**2 + 0 + 1/18*j**4 - 1/90*j**r + 0*j**3 + 0*j. Solve h(v) = 0 for v.
0, 2
Let -44/3*f**2 - 190/3 + 233/3*f + 1/3*f**3 = 0. Calculate f.
1, 5, 38
Let x = -194887/3 + 60779. Let j = x - -4220. Let -j*r**2 + 52/3*r - 8/3 + 25*r**3 = 0. What is r?
2/5, 2/3
Let g(q) = -34*q**2 + 356*q - 450. Let c be g(9). Find p such that -6*p + c*p**3 - 1/2*p**4 + 13/2*p**2 + 0 = 0.
-4, 0, 1, 3
Suppose 3/5*f**3 - 102/5*f**2 + 267/5*f + 372/5 = 0. What is f?
-1, 4, 31
Let p(n) = 3*n**2 - 8*n - 7. Let q be p(4). Let d be (-5100)/(-135) - (-2)/q. Factor 196 + 10*z + z**2 - d*z + 3*z**2 - 3*z**2.
(z - 14)**2
Let d(m) be the third derivative of m**5/105 - 64*m**4/21 + 254*m**3/21 + 12*m**2 - 20*m - 3. Factor d(p).
4*(p - 127)*(p - 1)/7
Let o = -139 + 139. Suppose o = 3*c - 30 - 762. Factor 4*j**4 + 36*j**2 + 10 - 28*j - c*j**3 - 2 + 244*j**3.
4*(j - 2)*(j - 1)**3
Let g(u) be the second derivative of u**6/15 + 207*u**5/10 - 211*u**4 + 2548*u**3/3 - 1704*u**2 + 134*u. Factor g(x).
2*(x - 2)**3*(x + 213)
Let y be (-6)/10 - (159/106)/(10/(-4)). Let p(f) be the third derivative of 0*f**4 + y*f + 0 + 22*f**2 - 1/39*f**3 + 1/390*f**5. Find h such that p(h) = 0.
-1, 1
Let g(h) = -9*h**3 + 101*h**2 + 209*h + 115. Let p(b) = 61*b**3 - 708*b**2 - 1464*b - 803. Let q(f) = 27*g(f) + 4*p(f). Suppose q(k) = 0. What is k?
-1, 107
Let b(j) be the second derivative of j**7/28 - 344*j**6/5 + 266256*j**5/5 - 20353792*j**4 + 3500852224*j**3 - 2691*j. Suppose b(y) = 0. What is y?
0, 344
Let