b(y). Factor s(h).
3*(h - 1)*(h + 2)
Determine n so that 0*n + 0 - 3375/2*n**2 + 15/2*n**4 - 1/2*n**5 + 225/2*n**3 = 0.
-15, 0, 15
Let i(j) = 23*j**3 + 109*j**2 + 289*j. Let t(a) = -8*a**3 - 36*a**2 - 96*a. Let w = -171 - -167. Let s(g) = w*i(g) - 11*t(g). Factor s(c).
-4*c*(c + 5)**2
Suppose -3*j + 370 = 2*q, 0*q - q = 2*j - 247. Suppose -5*r**3 + j*r - 39*r - 45 - 14*r**2 - 21*r**2 = 0. What is r?
-9, 1
Factor -3249/2 - 14*m**2 + 1/4*m**3 + 1045/4*m.
(m - 19)**2*(m - 18)/4
Let h(p) = -6*p**2 - 408*p + 354. Let w(l) = 11*l**2 + 818*l - 729. Let m(g) = 5*h(g) + 3*w(g). Factor m(b).
3*(b - 1)*(b + 139)
Let m(c) be the third derivative of c**5/15 - 91*c**4/6 - 124*c**3 - 163*c**2 + 1. Suppose m(h) = 0. What is h?
-2, 93
Let z be (-127)/9 - -14 - 744/(-864). Solve 21/4 - 9/2*u - z*u**2 = 0 for u.
-7, 1
Let x(c) be the third derivative of c**8/1512 + 227*c**7/189 - 379*c**6/60 + 3413*c**5/270 - 569*c**4/54 + 532*c**2. Find h, given that x(h) = 0.
-1138, 0, 1
Let f(c) = c**4 + 2*c**3 + 2*c**2 - c + 1. Let v(k) = -5*k**4 - 20*k**3 - 92*k**2 + 237*k + 293. Let w(i) = -14*f(i) - 2*v(i). Factor w(s).
-4*(s - 5)**2*(s + 1)*(s + 6)
Let u be (-4 - 2009/(-504)) + 0. Let f = 283/360 - u. Suppose 1/5*c**2 + f*c + 4/5 = 0. What is c?
-2
Factor -2632*g - 2*g**2 + 3*g**2 + 4*g**2 - 6090*g + 7442000 - 3478*g.
5*(g - 1220)**2
Suppose 0 = -g + 44 - 42. Let 0*l**2 - 8*l - 8 - 5*l**2 - 6*l**g + 2*l**3 + 13*l**2 = 0. Calculate l.
-2, -1, 2
Let y(c) be the first derivative of -268 + 1/9*c**3 + 3*c**2 - 40/3*c. Factor y(k).
(k - 2)*(k + 20)/3
Let s(n) be the first derivative of -10*n**3/27 - 7*n**2/3 - 224. Factor s(q).
-2*q*(5*q + 21)/9
Factor -81/4 - 100*c**4 + 630*c**3 + 567/2*c - 4329/4*c**2.
-(c - 3)**2*(20*c - 3)**2/4
Let c(n) be the second derivative of -1/6*n**3 + 1/126*n**7 + 1/18*n**4 - 1/30*n**6 + 1/30*n**5 - 28*n + 1/6*n**2 - 3. Let c(b) = 0. Calculate b.
-1, 1
Let n(b) be the third derivative of 30*b**4 - b**2 + 673/100*b**5 + 288/5*b**3 + 0 + 95*b + 1/4*b**6 + 1/350*b**7. Determine y so that n(y) = 0.
-24, -1
Let i(o) be the third derivative of 0 + 0*o + 5/6*o**3 + 27/32*o**4 - 120*o**2 + 1/60*o**5. Factor i(z).
(z + 20)*(4*z + 1)/4
Let q = -115114/3 + 37501. Let y = -869 - q. What is b in -1/3 + y*b - b**2 = 0?
1/3, 1
Let v = 18372 - 18368. Let q(l) be the second derivative of 3/10*l**3 + 3/50*l**6 + 0 - 3/50*l**5 + 37*l - 1/10*l**v - 3/10*l**2 - 1/70*l**7. Factor q(n).
-3*(n - 1)**4*(n + 1)/5
Let o = -142804 - -3284518/23. Determine f so that -44/23*f**4 - 64/23*f**2 + 76/23*f**3 - 4/23 + o*f + 10/23*f**5 = 0.
2/5, 1
Let k(j) be the second derivative of 571787*j**7/21 - 5697203*j**6/15 + 7044127*j**5/5 + 257093*j**4/3 + 6215*j**3/3 + 25*j**2 + 1768*j. Factor k(m).
2*(m - 5)**2*(83*m + 1)**3
Let n = -207 - -209. Suppose 4*o + 3*o**2 - 5*o**2 + 5*o**2 - 40 - o**n - 42*o = 0. Calculate o.
-1, 20
Suppose -g - 9 = 0, 26*q = 23*q + g + 15. Let 16/5*b - 1 - 4/5*b**3 + 17/5*b**q = 0. Calculate b.
-1, 1/4, 5
Let k be 495/12 + 429/(-13) + (-1 - (-14)/(-2)). What is q in 121/2 + k*q**4 + 57/4*q**2 + 319/4*q - 19/4*q**3 = 0?
-2, -1, 11
Let j(f) be the first derivative of f**8/1008 + f**7/630 - f**6/45 - f**5/15 - 28*f**2 - f - 50. Let q(x) be the second derivative of j(x). Factor q(k).
k**2*(k - 3)*(k + 2)**2/3
Let 18 + 60/11*i - 2/11*i**2 = 0. Calculate i.
-3, 33
Let u(g) be the first derivative of -9*g**2 - 5*g**3 + 0*g - 3/4*g**4 - 14. Factor u(j).
-3*j*(j + 2)*(j + 3)
Let c(i) be the second derivative of -2 + 2/3*i**4 - 2/15*i**6 + 49*i + 0*i**3 - 2*i**2 + 0*i**5. Let c(g) = 0. Calculate g.
-1, 1
Let t = -245 + -301. Let p be (-3)/5 - t/35. Factor 0 + 0*j - 5*j**2 - 20 + 40*j - p*j**3.
-5*(j - 1)*(j + 2)*(3*j - 2)
Let q(c) be the third derivative of -c**8/3192 + 10*c**7/399 - 3*c**6/10 + 106*c**5/285 + 1655*c**4/228 + 350*c**3/19 - 371*c**2. Solve q(z) = 0 for z.
-1, 5, 42
Find n, given that 38*n - 14/5*n**2 + 84/5 = 0.
-3/7, 14
Let f = -1445 + 4336/3. Let d(i) be the second derivative of 44*i + 7/12*i**4 + 0 - 19/18*i**3 - f*i**2. What is q in d(q) = 0?
-2/21, 1
Let l(r) = r**2 + 523*r + 16628. Let z be l(-34). Find v, given that -4/3*v**5 - 8/3*v**4 + 0*v**z + 0*v + 0 + 0*v**3 = 0.
-2, 0
Let k(c) = c**4 + c**3 - 4. Let z(u) = u**3 + 1. Let l = 495 - 496. Let p(d) = l*k(d) - 4*z(d). Factor p(r).
-r**3*(r + 5)
Let b(t) be the second derivative of -1/6*t**4 + 4/9*t**3 - 1/2*t**2 + 0*t**5 + 1/90*t**6 + 0 + 41*t. Factor b(x).
(x - 1)**3*(x + 3)/3
Let i(t) be the first derivative of 4*t**3/3 + 788*t**2 + 2579. Factor i(u).
4*u*(u + 394)
Let j(w) be the second derivative of 5/6*w**3 + 0 - 1/360*w**6 + 1/20*w**5 - 3/8*w**4 + 0*w**2 + 8*w. Let a(f) be the second derivative of j(f). Factor a(o).
-(o - 3)**2
Factor 456*u**2 + 745*u - 3823923 - 459*u**2 - 7519*u.
-3*(u + 1129)**2
Suppose -326*n + 382*n = 112. Let r(v) be the second derivative of -1/6*v**3 + 1/6*v**4 - n*v - 1/20*v**5 + 0 + 0*v**2. Factor r(s).
-s*(s - 1)**2
Let l = 21 - 5. Suppose -6*h - 3*f + l = -h, 1 = -h - 2*f. Factor -1 + 17 - 20*j**2 - 16 - 25*j + h*j**3.
5*j*(j - 5)*(j + 1)
What is m in 111/4*m**2 + 27 + 219/4*m = 0?
-1, -36/37
Suppose -117*i = -59*i - 232. Let v(n) be the first derivative of 1/15*n**3 - i - 1/10*n**2 - 2/5*n. Determine k so that v(k) = 0.
-1, 2
Let h be (69/11 - 3) + -3 + (-4500)/(-924). Suppose -5 = -3*j + 1. Factor 18/7*c**j - 9/7*c**5 + 30/7*c**4 + 0 - 3/7*c - h*c**3.
-3*c*(c - 1)**3*(3*c - 1)/7
Let a(b) be the first derivative of -2*b**5/35 + 20*b**4/7 - 32*b**3 - 9179. Factor a(q).
-2*q**2*(q - 28)*(q - 12)/7
Let f(s) be the second derivative of 0*s**2 - 1/5*s**5 - 2/3*s**3 - 5/6*s**4 + 137*s + 0. Factor f(c).
-2*c*(c + 2)*(2*c + 1)
Factor 5974*v - 3129*v - 3089*v + 384 - 136*v**2 - 4*v**3.
-4*(v - 1)*(v + 3)*(v + 32)
Let r(s) = 2*s**2 + 38*s - 35. Let u be r(-20). Let m(y) be the second derivative of 1/4*y**u - 5/12*y**4 + 0 + 0*y**2 - 5/3*y**3 - 11*y. Solve m(d) = 0 for d.
-1, 0, 2
Let u be (0 - 6/8)*170/1122*(-384)/24. Factor -2/11*g**3 - u*g**2 + 46/11*g - 24/11.
-2*(g - 1)**2*(g + 12)/11
Let a(u) = 18*u**3 - 1966*u**2 + 1992*u. Let h(z) = 4*z**3 - 437*z**2 + 443*z. Let x(v) = -5*a(v) + 22*h(v). Factor x(t).
-2*t*(t - 107)*(t - 1)
Let n be (165/(-10) + 0)*(-24)/(-18). Let a be 5/3*(-1 - n/10). Factor -1/2 - 1/8*u**a + 1/2*u.
-(u - 2)**2/8
What is w in 515/6*w**2 + 505/6*w**3 + 0 - 85*w - 515/6*w**4 + 5/6*w**5 = 0?
-1, 0, 1, 102
What is l in 699*l**2 + 8*l - 1371*l**2 + 674*l**2 = 0?
-4, 0
Let x = 51 - 54. Let p(n) = -130*n**2 + 155*n - 105. Let j(q) = 10*q**2 - 12*q + 8. Let k(u) = x*p(u) - 40*j(u). Suppose k(i) = 0. Calculate i.
1/2, 1
Let u(k) = k**2 + 21*k - 68. Let p be u(-24). Factor 5*c**2 - 252*c - 24 + p + 252*c.
5*(c - 2)*(c + 2)
Let z(g) be the second derivative of g**6/120 + 7*g**5/80 - 5*g**4/8 - 2*g - 1717. Factor z(m).
m**2*(m - 3)*(m + 10)/4
Let o(u) be the second derivative of 107/135*u**6 + 23/15*u**5 + 32/27*u**3 + 0 + 0*u**2 + 5/63*u**7 + 134*u - 32/9*u**4. Solve o(c) = 0.
-4, 0, 1/5, 2/3
What is t in 9*t**5 - 363*t**4 - 226*t**2 - 734*t**2 - 2400*t - 90009*t**3 + 93723*t**3 = 0?
-2/3, 0, 1, 20
Let r be (-280)/(-4592)*120/14 + 4/82. Factor -r*o**3 + 52/7*o**2 + 300/7 - 220/7*o.
-4*(o - 5)**2*(o - 3)/7
Let s be ((-588)/(-16))/7 + (-3)/12. Suppose -s*i = 10 - 20. Factor -i - 38*z - 1 - z**2 + 42*z.
-(z - 3)*(z - 1)
Suppose 3*r = -v + 3, -15 = -2*r + r - 5*v. Let m = -326050/9 + 36228. Solve m*s**2 + r + 2/9*s - 2/9*s**3 - 2/9*s**4 = 0 for s.
-1, 0, 1
Let v(d) be the first derivative of -36 + 8/9*d**3 + 2*d**2 + 4/3*d. Suppose v(a) = 0. Calculate a.
-1, -1/2
Let m(k) = 15*k**2 + 14*k - 68. Let p be m(4). Factor -461*r + 179*r - 5*r**2 + p*r - 150 + 139*r.
-5*(r - 15)*(r - 2)
Let l be 3/(-45) - (-7992)/1480. Solve 10/3*k + 100/3 - l*k**2 + 2/3*k**3 = 0 for k.
-2, 5
Let a(v) be the first derivative of v**6/15 + 14*v**5/25 - 17*v**4/10 + 6*v**3/5 - 858. Factor a(y).
2*y**2*(y - 1)**2*(y + 9)/5
Let m = 2827 - 2820. Let t(u) be the second derivative of 0*u**3 + 0*u**2 + 1/30*u**6 + 0*u**4 + 0*u**5 + 1/42*u**m + 0 + 2*u. Factor t(i).
i**4*(i + 1)
Let q = -1025 + 1029. Let w(z) be the first derivative of 8 + 0*z + 1/8*z**q + 1/4*z**2 + 1/3*z**3. Factor w(f).
f*(f + 1)**2/2
Suppose -4*o + 32 = -2*i, 7 - 3 = -i. Factor o*a**3 + 2*a**4 - 17*a**2 + 8*a - 13*a**