- ((-2057)/(-204) - 10). Let q(c) be the first derivative of -4/3*c**3 + 5 + 0*c**2 + g*c**4 + 4/5*c**5 + 0*c. Factor q(t).
4*t**2*(t - 1)*(t + 1)
Let w(q) be the third derivative of -q**8/448 - q**7/14 - 17*q**6/40 - 4*q**5/5 - q**2 - q - 17. Suppose w(t) = 0. What is t?
-16, -2, 0
Factor 1896/7*v + 3/7*v**3 + 0 - 1899/7*v**2.
3*v*(v - 632)*(v - 1)/7
Let h(o) = 10*o**5 + 258*o**4 + 960*o**3 - 244*o**2 - 6. Let r(k) = k**5 - k**4 - 2*k**2 + 1. Let u(z) = -h(z) - 6*r(z). Factor u(q).
-4*q**2*(q + 8)**2*(4*q - 1)
Let h be 5*-3*((-261)/(-45) - 6). Determine o, given that -6*o**h + 0*o**4 - o**4 + 5*o**3 = 0.
-1, 0
Let 180*x**3 - 346*x**3 + 92*x - 19*x + 81*x**2 + 163*x + 167*x**3 + 156 = 0. Calculate x.
-78, -2, -1
Let t be 7 - ((-225735)/33330 - -1*3/11). Factor -75/2*k**4 + 0*k + 0 - t*k**2 - 45*k**3.
-3*k**2*(5*k + 3)**2/2
Let v(d) be the first derivative of 3*d**4/4 - 47*d**3 - 390*d**2 + 2731. Suppose v(a) = 0. What is a?
-5, 0, 52
Let h(c) be the third derivative of 1/60*c**6 + 0 + 11*c**2 - 1/30*c**5 + 1/105*c**7 + 0*c**3 - 1/12*c**4 - 2*c. Let h(l) = 0. Calculate l.
-1, 0, 1
Find h such that 40*h**5 + 37*h**5 - 40*h**5 - 128*h**2 - 33*h**5 + 144*h**3 + 192 - 128*h - 44*h**4 = 0.
-1, 2, 6
Find i, given that 3*i**4 + 74*i**2 - 5*i**3 + 3*i**3 + 8481*i - 8551*i - 5*i**4 = 0.
-7, 0, 1, 5
Find b, given that 105824 - 52*b - 3*b**2 - 20*b - 105893 = 0.
-23, -1
Factor 85*j**2 - 35*j**2 + 255 - 602*j + 2181*j + 976*j.
5*(j + 51)*(10*j + 1)
Let w be (-24)/(-32)*(-4 + (-32)/(-7)). Let y = w + -1/35. Factor -y + 8/15*c - 2/15*c**2.
-2*(c - 3)*(c - 1)/15
Let l(p) = -4*p**5 - 7*p**4 + 3*p**3 + 13*p**2 - 20*p + 18. Let o(c) = c**5 + c**4 + c**3 + c**2 - 3*c - 2. Let r(a) = l(a) + 3*o(a). Factor r(n).
-(n - 1)**3*(n + 3)*(n + 4)
Let y(w) = -5*w**5 + 85*w**4 - 245*w**3 - 265*w**2. Let c(p) = -p**5 + 14*p**4 - 41*p**3 - 44*p**2. Let b(r) = -35*c(r) + 6*y(r). Factor b(t).
5*t**2*(t - 2)*(t + 1)*(t + 5)
Let g(d) be the second derivative of 37*d + 1/20*d**5 - 1/60*d**6 + 1/4*d**2 + 0*d**4 + 0 - 1/6*d**3. Solve g(q) = 0.
-1, 1
Let a be (-19 + 19)*-1*3/9. Let f(r) be the second derivative of -1/24*r**4 - 1/8*r**2 - 1/160*r**5 - 5/48*r**3 + 9*r + a. Factor f(w).
-(w + 1)**2*(w + 2)/8
Let -566/9*a + 1/9*a**4 - 21 - 62/3*a**3 - 188/3*a**2 = 0. What is a?
-1, 189
Suppose 3*n = -2*z + 19, -6*n + n + z + 23 = 0. Factor -12681*q**2 + 1 + 2*q**5 + 12677*q**2 + 8*q**4 - 10*q - n + 8*q**3.
2*(q - 1)*(q + 1)**3*(q + 2)
Let o be 6*1*(13 + -10)/3. Suppose -o*g + 19*g - 39 = 0. Factor 9/4*x**g - 9*x - 3/4*x**2 + 3.
3*(x - 2)*(x + 2)*(3*x - 1)/4
Let y = -45 + 53. Suppose 325 = y*u - 235. Suppose 0*p - 10 + 41*p**5 + 6*p**5 + 80*p**4 - u*p**2 - 12*p**5 - 55*p + 20*p**3 = 0. What is p?
-1, -2/7, 1
Let m(s) = -2904*s**3 + 5 - 5*s**2 + 18*s**2 - 44*s + 2924*s**3. Let f(j) = -20*j**3 - 12*j**2 + 44*j - 4. Let w(n) = 3*f(n) + 4*m(n). Factor w(o).
4*(o - 1)*(o + 2)*(5*o - 1)
Let f(k) = -k + 26. Let q be f(7). Factor -8*a**3 - 9*a + 36*a**3 + 3*a**2 - q*a**3 + 0*a**2 - 3*a**4.
-3*a*(a - 3)*(a - 1)*(a + 1)
Let y(k) be the first derivative of -30 - 5/27*k**3 + 0*k**2 - 1/15*k**5 + 0*k + 4/9*k**4. Factor y(a).
-a**2*(a - 5)*(3*a - 1)/9
Let f(c) be the third derivative of -c**5/240 - 35*c**4/192 - c**3 - 197*c**2 + 4*c - 1. Find m such that f(m) = 0.
-16, -3/2
Let g be (-70)/(-2835) + 4/(-162). Let n(h) be the second derivative of 0*h**2 + 1/40*h**5 - 3/4*h**3 + g - 42*h + 0*h**4. Suppose n(b) = 0. Calculate b.
-3, 0, 3
Let i(d) be the third derivative of -1/27*d**4 + 5*d**2 + 0 + 2/135*d**5 + 0*d + 0*d**3 - 1/540*d**6. Find x, given that i(x) = 0.
0, 2
Suppose 0 = 5*c + 4 - 4. Suppose z - 10 = -3*m, -3*m + c*m - 5*z = -14. Factor q**3 + 0*q**m - 24*q**2 - 54 + 63*q + 2*q**3.
3*(q - 3)**2*(q - 2)
Let k be ((-52)/429)/((2/8)/(222/(-592))). Suppose 26/11*a - k*a**2 + 28/11 = 0. What is a?
-1, 14
Let w(v) be the third derivative of 19*v**8/336 + v**7/42 - 13*v**6/10 - 19*v**5/15 + 26*v**4/3 - 6*v**2 + 172*v. Determine t, given that w(t) = 0.
-2, 0, 1, 52/19
Let k(b) be the first derivative of 1/12*b**4 + 0*b**2 + 14 + 0*b + 0*b**3. Find x, given that k(x) = 0.
0
Suppose -31*t + 2704 = -23*t. Let w = -2027/6 + t. Factor 0 + 0*y**2 + w*y**3 - 1/6*y.
y*(y - 1)*(y + 1)/6
Let s(u) = 2*u**3 - 8*u**2 + 2*u - 5. Let g be s(4). Factor v - 16*v**2 + 429*v**g - 425*v**3 + 11*v.
4*v*(v - 3)*(v - 1)
Let v(c) = c**3 - 36*c**2 + 69*c + 47. Let b be v(34). Solve -1413 + 0*h**3 + 1332 - 27*h**2 - b*h - 3*h**3 = 0 for h.
-3
Let o(k) = -14429*k - 202002. Let j be o(-14). Solve -102*v**2 + 56*v - 104/11 + 50/11*v**j + 560/11*v**3 = 0.
-13, 2/5, 1
Solve -1/4*j**4 + 29/4*j**2 + 0*j - 25 + 0*j**3 = 0 for j.
-5, -2, 2, 5
Let m = 132 + -127. Suppose -265 + 49*x - 2*x**2 - m*x + 23 = 0. What is x?
11
Factor 184/9 + 20/9*c**2 - 44/3*c.
4*(c - 2)*(5*c - 23)/9
Let r(p) be the first derivative of -p**6/2700 + p**4/45 + 7*p**3 + 2*p + 83. Let n(i) be the third derivative of r(i). Let n(u) = 0. What is u?
-2, 2
Let r(o) be the second derivative of -o**7/420 + o**6/75 - o**5/200 - o**4/20 - 981*o. Determine u, given that r(u) = 0.
-1, 0, 2, 3
Let p = -7419 - -7421. Let t(g) be the first derivative of -6*g - 1/2*g**3 + 3*g**p - 12. Factor t(m).
-3*(m - 2)**2/2
Let m(x) be the third derivative of x**6/40 + 7*x**5/5 - 171*x**4/8 - 99*x**3 + 10*x**2 + 23*x - 5. Factor m(f).
3*(f - 6)*(f + 1)*(f + 33)
Suppose -2374*o + 2677*o - 606 = 0. Find l such that -2/3*l - 10/3*l**o + 0 = 0.
-1/5, 0
Let s(r) be the second derivative of -r**4/3 - 76*r**3 + 702*r**2 + 3*r + 378. Factor s(p).
-4*(p - 3)*(p + 117)
Suppose -3*x + 8*x + 3*r - 27 = 0, -20 = -5*r. Let k = 5 - 2. Factor 6*t - k*t**x + 7*t**2 - t**2 - 9*t**2.
-3*t*(t - 1)*(t + 2)
Let v(h) = -2*h**4 + 3*h**2 - 2. Let c(z) = 8*z**5 - 52*z**4 - 864*z**3 + 3412*z**2 + 30720*z + 14408. Let a(n) = -c(n) - 4*v(n). Solve a(l) = 0 for l.
-6, -1/2, 10
Factor 2/7*w**2 + 252050/7 + 1420/7*w.
2*(w + 355)**2/7
Suppose -6*r - 3*v = -33, 3*r + 37 = v + 56. Solve 8/3 + 8/3*y + r*y**4 - 22/3*y**2 - 4*y**3 = 0.
-2/3, 1
Determine r so that 1293 - 6301 - 58720*r - 4*r**5 - 236*r**4 - 20420 - 36068*r**2 - 4780*r**3 - 1772 = 0.
-20, -17, -1
Factor 12203 - 252656 - 235921 - 303*x**2 + 113062 + 300*x**2 + 2088*x.
-3*(x - 348)**2
Let o(r) be the second derivative of r**4/24 - 9*r**3/4 - 31*r**2 - 51*r + 27. Let o(x) = 0. What is x?
-4, 31
Factor -240*g - 2*g**3 + 124*g**2 - 107276 + 107276.
-2*g*(g - 60)*(g - 2)
Let y = -376 + 383. Suppose 248 + 11*n - y*n**3 - 212*n - n**4 + 83*n**2 - 122 = 0. What is n?
-14, 1, 3
Let q = 482 + -207. Suppose -6*z + 287 = q. Determine l, given that 1/5*l**z - 6/5*l + 9/5 = 0.
3
Let r(k) = -7*k**2 - 7*k + 2. Let o = 101 + -71. Let a(g) = -8*g + 38*g**2 - 37*g**2 + 9*g. Let j(z) = o*a(z) + 5*r(z). Factor j(d).
-5*(d - 1)*(d + 2)
Let c(u) be the third derivative of 1/1260*u**7 + 0*u**4 + 0 + 1/120*u**5 - 1/144*u**6 + 253*u**2 + 0*u + 1/2016*u**8 + 0*u**3. Factor c(o).
o**2*(o - 1)**2*(o + 3)/6
Factor 26/3*s**2 - 16/3 + 218/9*s.
2*(s + 3)*(39*s - 8)/9
Let z = 530255/3 + -176751. Let 2/3*f**4 - z*f**2 + 0 + 0*f + 2/9*f**3 - 2/9*f**5 = 0. Calculate f.
-1, 0, 1, 3
Let d(s) = s**2 + 243*s + 7455. Let u be d(-36). What is v in 0*v + 0 + 4/3*v**5 + 19/3*v**u + 77/3*v**4 + 0*v**2 = 0?
-19, -1/4, 0
Let x(l) be the third derivative of -2*l**7/735 + 61*l**6/105 - 228*l**5/5 + 38627*l**4/21 - 891670*l**3/21 - 51*l**2 - 41. Solve x(m) = 0 for m.
19, 65
Let z(u) = 10*u**5 + 11*u**4 + 35*u**3 - 50*u**2 + 3. Let r(l) = -7*l**5 - 13*l**4 - 36*l**3 + 52*l**2 - 2. Let q(m) = -3*r(m) - 2*z(m). Factor q(w).
w**2*(w - 1)*(w + 4)*(w + 14)
Let q(g) be the third derivative of -16/9*g**3 - 1/90*g**6 + 0 + 1/3*g**4 + 0*g + 1/15*g**5 - 132*g**2. What is i in q(i) = 0?
-2, 1, 4
Let y(l) be the third derivative of -1/600*l**6 + 1/120*l**4 - 7/30*l**3 + 1 - 44*l**2 + 0*l + 7/300*l**5. Factor y(q).
-(q - 7)*(q - 1)*(q + 1)/5
Let h(c) be the first derivative of -c**7/200 + 2*c**6/75 - 11*c**5/200 + c**4/20 - 2*c**3 + 2*c**2 + 6. Let m(t) be the third derivative of h(t). Factor m(u).
-3*(u - 1)**2*(7*u - 2)/5
Suppose -477*s + 460*s + 85 = 0. Let d(w) be the second derivative of -1/4*w**s + 5/2*w**3 + 0 + 2*w + 0*w**2 - 5/6*w**4. What is k in d(k) = 0?
-3, 0, 1
Let d be 12/(59 - (-8675)/(-150)). Factor d*t