= 0.
2/9, 2, 3, 5
Let u(w) be the second derivative of 5*w**4/4 - 50*w**3/3 - w + 272. Suppose u(h) = 0. What is h?
0, 20/3
Let s(o) be the second derivative of o**8/1344 + o**7/840 + 4*o**4/3 + o**3/6 + 5*o. Let q(l) be the third derivative of s(l). Factor q(g).
g**2*(5*g + 3)
Find w such that 0*w**3 - 12/7*w**4 + 16/7*w**2 + 0 - 4/7*w**5 + 0*w = 0.
-2, 0, 1
Let j be ((-60)/(-20))/(6/10). Let b(o) be the first derivative of 1/12*o**4 + 1/9*o**3 - 1/12*o**2 - 1/30*o**j - 1/6*o + 15 - 1/36*o**6. Factor b(a).
-(a - 1)**2*(a + 1)**3/6
Factor -530*f**3 + 1061*f**3 + 623 + 286 - 2724*f - 525*f**3 + 1809*f**2.
3*(f - 1)*(f + 303)*(2*f - 1)
Let z(b) be the third derivative of b**7/210 + b**6/10 + b**5/2 + 7*b**4/6 + 3*b**3/2 + 307*b**2 - b. Solve z(n) = 0 for n.
-9, -1
Let u be ((-2)/(-14))/((-3)/(-21)). Let r be (4 + 0)*25*23/1150. Determine g, given that -u + 1/4*g**r + 0*g = 0.
-2, 2
Let j be -11 + -2 - (120/(-3))/8. Let k be (129/15 + -9)*90/j. Factor -5/2*s**3 - 1 - k*s - 6*s**2.
-(s + 1)**2*(5*s + 2)/2
Let w(f) be the first derivative of -5*f**3/3 + 35*f**2 - 249*f + 12. Let z(n) = -70*n**2 + 980*n - 3485. Let b(y) = -55*w(y) + 4*z(y). Factor b(a).
-5*(a - 7)**2
Let f(a) be the first derivative of a**5/10 + 35*a**4/8 + 16*a**3/3 - 17*a**2 - 120. What is t in f(t) = 0?
-34, -2, 0, 1
Let k be ((-13476)/3369)/(0 - 2/2). Factor -3/4*q**k + 0 + 9*q**3 - 36*q**2 + 48*q.
-3*q*(q - 4)**3/4
Let o(t) be the first derivative of t**6/420 + 4*t**5/105 + t**4/7 + 85*t**2 + 97. Let k(r) be the second derivative of o(r). Solve k(h) = 0.
-6, -2, 0
Factor -385*z + 1409*z + 36*z**3 + 384*z**2 + 2342*z**4 - 2341*z**4.
z*(z + 4)*(z + 16)**2
Let q(i) be the second derivative of -5*i**4/12 - 65*i**3/6 + 845*i**2 - 1332*i. Determine l so that q(l) = 0.
-26, 13
Let x(y) = 6*y**4 + 40*y**3 + 30*y**2 - 200*y + 124. Let v(f) = -f**4 + 1. Suppose -21 + 3 = 18*k. Let t(o) = k*x(o) - v(o). What is b in t(b) = 0?
-5, 1
Let j(s) be the first derivative of s**5/20 + 25*s**4/4 + 625*s**3/2 + 14*s**2 + 46. Let q(o) be the second derivative of j(o). What is f in q(f) = 0?
-25
Let l(s) be the first derivative of -55 - 18*s**2 + 8*s - 2/3*s**6 - 14*s**4 + 64/3*s**3 + 24/5*s**5. Factor l(m).
-4*(m - 2)*(m - 1)**4
Let j(q) = -5*q**3 + 1692*q**2 + 238560*q + 4. Let z(k) = -2*k**3 - 3*k + 1. Let p(w) = -j(w) + 4*z(w). Solve p(i) = 0.
-282, 0
Let o = -627 - -665. Let 25 + 135*x**2 + 58*x**2 - 155*x + x**3 - 26*x**3 - o*x**2 = 0. Calculate x.
1/5, 1, 5
Let i(r) = 495*r**3 - 7*r**2 + 8. Let f be i(2). Find v, given that -v**2 - v**2 + f - 6982 - 156*v = 0.
-39
Let u(t) = -54*t**3 + 451*t**2 + 3600*t + 7381. Let p(v) = -25*v**3 + 225*v**2 + 1800*v + 3686. Let c(k) = -13*p(k) + 6*u(k). Factor c(h).
(h - 227)*(h + 4)**2
Factor -114 - 1165*t + 385*t**3 + 28*t**4 - 41*t**4 - 656 + 18*t**4 - 15*t**2.
5*(t - 2)*(t + 1)**2*(t + 77)
Let g(t) be the second derivative of -3*t**5/40 - 659*t**4/4 - 434281*t**3/4 + 843*t + 4. Solve g(z) = 0 for z.
-659, 0
Let x(u) = -142*u - 989. Let o be x(-7). Let m(v) be the first derivative of -1/3*v**6 + 0*v + v**2 - 6 - 4/5*v**o + 4/3*v**3 + 0*v**4. Factor m(c).
-2*c*(c - 1)*(c + 1)**3
Let m(j) be the second derivative of 361*j**6/24 - 931*j**5/4 + 1915*j**4/16 - 75*j**3/4 + 8998*j. Factor m(l).
5*l*(l - 10)*(19*l - 3)**2/4
Let l(d) = -4*d**2 + 164*d - 559. Let z(t) = t**2 - 41*t + 139. Let c(b) = 6*l(b) + 22*z(b). Let c(p) = 0. Calculate p.
4, 37
Let f(q) be the first derivative of -q**4/14 + 50*q**3/21 - 88*q**2/7 + 24*q + 932. Factor f(l).
-2*(l - 21)*(l - 2)**2/7
Let j(g) be the first derivative of -g**5 - 305*g**4/4 - 480*g**3 - 1130*g**2 - 1120*g + 4560. Find z such that j(z) = 0.
-56, -2, -1
Let c = 1673 + -3784/3. Let i = c - 410. Factor -4/3 + i*v**3 + v**2 - 5/3*v + 1/3*v**4.
(v - 1)*(v + 1)**2*(v + 4)/3
Let z = 180904 - 180904. Let 0*c**2 + 6*c + z - 3/2*c**3 = 0. What is c?
-2, 0, 2
Let v be 25/25*20/8*2/3. What is d in -80/3 + 20*d**2 + 5/3*d**3 + 20/3*d - v*d**4 = 0?
-2, 1, 4
Let -5780 + 136*y - 4/5*y**2 = 0. What is y?
85
Suppose 349*t + 89*t + 263 = 24*t + 1091. Solve 44/3 - 6*z - 2/3*z**t = 0 for z.
-11, 2
Let z(a) be the first derivative of -a**3 + 7*a**2 + 7*a - 205. Let t be z(5). Find h, given that 0*h**3 - 2/7*h**4 - 24/7 + 8/7*h + 18/7*h**t = 0.
-2, 1, 3
Solve 0 - 115/2*g + 113/4*g**2 + 1/4*g**3 = 0 for g.
-115, 0, 2
Let r(t) be the first derivative of -3*t**4/10 + t**3/15 + 3*t**2/5 - t/5 - 3342. Determine m, given that r(m) = 0.
-1, 1/6, 1
Suppose 8*r - 120 = 3*r. Suppose -16*b + 10*b = -r. Factor -2/5*y**5 + 2/5*y - 4/5*y**b + 4/5*y**2 + 0 + 0*y**3.
-2*y*(y - 1)*(y + 1)**3/5
Determine f so that 14*f**2 + 4*f**2 + 12*f**2 - 460*f - 10*f**2 - 8*f**2 = 0.
0, 115/3
Let j = 3855/7 + -3846/7. Suppose -8 = 2*r - 6*r. Factor j*t + 3/7*t**r + 0.
3*t*(t + 3)/7
Let z(v) = -5*v**2 - 361*v - 770. Let b be z(-70). Factor 3/7*i + 3/7*i**2 + b.
3*i*(i + 1)/7
Let w(k) = -3*k**2 + 10*k - 12. Let m(c) = 4*c**2 - 11*c + 12. Let x = 242 + -245. Let g(t) = x*w(t) - 2*m(t). Determine p, given that g(p) = 0.
2, 6
Let 70/3 - 93*q + 22*q**4 - 274/3*q**3 + 416/3*q**2 + 1/3*q**5 = 0. Calculate q.
-70, 1
Let l(f) be the second derivative of f**4/12 + 22*f**3/3 + 475*f**2/2 - 304*f. Let l(m) = 0. What is m?
-25, -19
Let p(d) be the first derivative of -3*d**4/16 - 13*d**3/4 - 18*d**2 - 27*d + 3615. Find y, given that p(y) = 0.
-6, -1
Find s, given that 114*s**4 + 3902/7*s**3 + 6266/7*s**2 + 4080/7*s + 936/7 + 18/7*s**5 = 0.
-39, -3, -1, -2/3
Let z be ((-1869)/15)/((-150)/(-72) - 2). Let w = 1506 + z. Find b, given that -w*b**2 - 1458/5 - 486/5*b - 2/5*b**3 = 0.
-9
Let u be 3/66*-2 + (12585/495 - 25). Let d(v) be the second derivative of 3/2*v**2 - 17*v - 1/12*v**4 + 0 + u*v**3. Factor d(p).
-(p - 3)*(p + 1)
Let -2023/2*n - 1/2*n**2 - 1011 = 0. Calculate n.
-2022, -1
Let f = -358 - -741. Let h = f - 260. Solve -h*m**3 - 22*m - 20 + 23*m**3 - 20*m**2 + 56 + 106*m = 0.
-3/5, 1
Suppose -46*v + 11 + 78 = -49. Let j(q) be the third derivative of 19*q**2 - 4/75*q**5 + 0 + 0*q**v + 0*q - 1/1050*q**7 + 0*q**4 - 1/75*q**6. Solve j(n) = 0.
-4, 0
Let v(p) be the third derivative of -p**6/120 + p**5/6 - 11*p**4/8 + 6*p**3 + 34*p**2 - 4. Factor v(n).
-(n - 4)*(n - 3)**2
Let p(k) be the third derivative of -11*k**8/112 - 78*k**7/35 - 567*k**6/40 - 49*k**5/10 - 2*k**2 + 885*k. Factor p(h).
-3*h**2*(h + 7)**2*(11*h + 2)
Solve -c**2 - 147*c + 54*c - 113*c - 159*c + 57*c - 23716 = 0.
-154
Let v = 99 + -76. Let z be (-10)/2 - (14 - v). Let 6*k**2 - 29*k - 16 - z*k**2 + 43*k = 0. What is k?
-8, 1
Let a(m) = 9*m**5 + 24*m**4 - 93*m**3 - 31*m**2 + 35*m. Let l(i) = 4*i**5 + 12*i**4 - 44*i**3 - 15*i**2 + 19*i. Let x(j) = 3*a(j) - 7*l(j). Solve x(r) = 0.
-14, -1, 0, 1, 2
Factor 20*a**3 - 14*a**3 - 500*a + 236 + 244*a**2 + 16 - 2*a**3.
4*(a - 1)**2*(a + 63)
Let q(l) be the second derivative of -l**7/1260 + l**6/90 + 201*l**2/2 - 45*l. Let x(c) be the first derivative of q(c). Factor x(u).
-u**3*(u - 8)/6
Let p(d) be the second derivative of 0*d**4 + 0*d**2 + 4*d + 1/15*d**3 - 1/200*d**5 - 3. Solve p(t) = 0.
-2, 0, 2
Find h, given that -56/3*h**2 - h**5 - 11/3*h - 40/3*h**4 + 0 - 82/3*h**3 = 0.
-11, -1, -1/3, 0
Suppose 0 = -31*y + 36*y - 20. Suppose -4*n - 57 = -7*n - 5*h, 0 = -5*n - h + 95. Factor 5*s**5 - 5*s + 7*s**2 - n*s**4 + 20*s**4 + 9*s**y - 17*s**2.
5*s*(s - 1)*(s + 1)**3
Suppose -35*l + 68 = -18*l. Let k be 1425/(-2565)*l/(-10)*3. Determine u so that 6*u**2 - k*u**4 - 8/3 - 22/3*u**3 + 2*u**5 + 8/3*u = 0.
-2, -2/3, 1
Let n = 5337 - 5337. Let w(k) be the first derivative of -4/5*k**5 + n*k + 0*k**2 - 4/3*k**3 - 35 + 2*k**4. Factor w(h).
-4*h**2*(h - 1)**2
Let p(y) = -20*y**3 + 52*y**2 - 178*y + 220. Let l(m) = m**3 - 2*m**2 + 2*m. Let n(t) = -44*l(t) - 2*p(t). Suppose n(b) = 0. What is b?
-11, 2, 5
Let h(s) be the second derivative of s**4/30 + 7*s**3 - 964*s. Factor h(c).
2*c*(c + 105)/5
Let u = -1 + 1. Let a = 7984165/3 + -2661388. Let -2/3*m**2 + 1/3*m**3 + 0 + a*m**4 + u*m = 0. What is m?
-2, 0, 1
Let u(i) be the second derivative of 0 + 119*i - 1/8*i**4 + 3/2*i**3 - 6*i**2. Factor u(b).
-3*(b - 4)*(b - 2)/2
Let k be 81/18*(-5 - (-145)/3). Let j be (-3)/(-2)*(-10)/k*-26. Suppose -10/3*l - 14/3*l**j + 4/3 = 0. Calculate l.
-1, 2/7
Find l, given that 1536*l + 31*l**2 - 60*l**3 - 