62. Let p(k) be the third derivative of -20*k**2 + 0 + 2/3*k**3 - v*k**4 + 0*k - 1/15*k**5. Factor p(u).
-2*(u + 2)*(2*u - 1)
Let c = 587 - 311. Find z such that -449*z**3 + 867*z**4 - 12*z + c*z**2 - 622*z**3 - 51*z**2 - 9*z**2 = 0.
0, 2/17, 1
Let b(z) be the first derivative of -20/3*z**3 + 51/7*z**2 - 4*z - 161 - 24/35*z**5 + 22/7*z**4 + 1/21*z**6. Factor b(u).
2*(u - 7)*(u - 2)*(u - 1)**3/7
Let y(o) = 2*o**2 - o - 3. Let r(n) = 33*n**2 - 50*n - 5. Let g(f) = -r(f) + y(f). Let b(i) = -32*i**2 + 48*i - 1. Let t(l) = -4*b(l) + 3*g(l). Factor t(x).
5*(x - 1)*(7*x - 2)
Let v(o) be the third derivative of 128*o**7/525 - 1272*o**6/25 - 1916*o**5/25 - 1439*o**4/30 - 16*o**3 + 4738*o**2. Factor v(z).
4*(z - 120)*(4*z + 1)**3/5
Let m(g) = 6*g**2 + 688*g - 1393. Let c(h) = -h**2 - 3*h + 3. Let l(p) = c(p) + m(p). Factor l(s).
5*(s - 2)*(s + 139)
What is d in -5076/7*d - 5072/7*d**2 - 4/7 = 0?
-1, -1/1268
Let j be (-28)/(-72)*(0/(-5) - (-8)/42). Let f(q) be the first derivative of -2/3*q - j*q**3 + 19 + 4/9*q**2. Factor f(d).
-2*(d - 3)*(d - 1)/9
Let u(y) be the second derivative of y**7/56 - 11*y**6/8 + 285*y**5/16 + 7515*y**4/16 + 3240*y**3 + 10368*y**2 - 2*y + 52. Factor u(r).
3*(r - 32)**2*(r + 3)**3/4
Let l(u) = -u**2 - 10*u + 8. Let g be l(-10). Suppose 0 = 5*h - 5, 0 = -2*p + p - 5*h + g. Factor -12*w - 34*w**3 - 40*w**3 - 10*w**2 + 76*w**p.
2*w*(w - 6)*(w + 1)
Find d such that -60*d - 17*d**2 + 30*d**3 - 900 + 150*d**2 + 82*d**2 - 9*d**4 + 4*d**4 = 0.
-3, 2, 10
Let l = 65711/21 - 9377/3. Determine j so that 4/7*j**5 + 0 + 16/7*j**3 - 24/7*j**2 - 20/7*j + l*j**4 = 0.
-5, -1, 0, 1
Let d(f) be the first derivative of -1/24*f**4 - 77/12*f**2 + 49/3*f - 57 + 8/9*f**3. Let d(c) = 0. Calculate c.
2, 7
Let t be (1 - 0) + 4 - 2. Suppose -3*u + 0*u - 2*k + 19 = 0, -5*u + k + 10 = 0. Suppose 6*c + 17*c**3 + 6*c**t + 4*c - u*c**3 + 25*c**2 + 5*c**4 = 0. What is c?
-2, -1, 0
Let n be -2 + 1 - (38 - 42). Let i(c) be the third derivative of 0 + 0*c + 0*c**4 + 4/9*c**n - 1/90*c**5 + 7*c**2. Determine h, given that i(h) = 0.
-2, 2
Suppose 61 = 5*a - 84. Let w = a - 13. Suppose 124 - 2*h**2 - 156 + w*h + 0*h**2 = 0. Calculate h.
4
Suppose 418 = 1264*s - 1455 + 651 - 1306. Solve 0 - 1/5*f**s + 26/5*f = 0.
0, 26
Let i(l) = 8*l**2 - 8*l + 14. Let k be i(18). Let f = 9853/4 - k. Suppose f*m**2 - m - 1/4*m**3 + 0 = 0. Calculate m.
0, 1, 4
Find y such that 594*y - 175811 + 174911 + 243*y**2 + 61*y**2 + 2*y**3 = 0.
-150, -3, 1
Let v(a) = 157*a**3 - a**2 + 4*a - 4. Let r be v(1). Suppose 0 = -32*l + r - 28. Factor -10/7*o**3 - 18/7*o**2 - 2/7*o**l - 2*o - 4/7.
-2*(o + 1)**3*(o + 2)/7
Let r(n) be the third derivative of n**6/120 - 7*n**5/30 + 43*n**4/24 - 5*n**3 + 771*n**2 + 1. Suppose r(u) = 0. Calculate u.
1, 3, 10
Let f(v) be the third derivative of 0 - v - 1/90*v**5 + 11/36*v**4 + 51*v**2 + 26/9*v**3. Solve f(g) = 0 for g.
-2, 13
Let 59226*y**5 - 4*y - 49*y - 59225*y**5 + 10 - 34*y**3 + 0 + 14*y + 6*y**4 + 56*y**2 = 0. Calculate y.
-10, 1
Let p(o) be the first derivative of o**4/26 - 2*o**3/39 - 10*o**2/13 - 16*o/13 - 8678. Factor p(q).
2*(q - 4)*(q + 1)*(q + 2)/13
Let s(u) be the third derivative of -u**5/12 + 5*u**4/2 + 70*u**3/3 + 584*u**2. Solve s(d) = 0.
-2, 14
Let p = 750/29 - 2221/87. Let a(m) be the first derivative of -4/3*m**3 + 0*m - m**2 + 1 + 4/5*m**5 + p*m**6 + 0*m**4. Determine v so that a(v) = 0.
-1, 0, 1
Let -2/15*i**4 + 42/5*i - 42/5*i**3 + 682/15*i**2 - 136/3 = 0. Calculate i.
-68, -1, 1, 5
Let q = 1283 - 1266. Suppose -13*m = q*m + 23*m. Determine n so that m*n + 0 - 3/2*n**4 - n**3 + 0*n**2 - 1/2*n**5 = 0.
-2, -1, 0
Find s such that -2/13*s**4 + 6*s**2 - 4/13*s**3 - 280/13 + 16/13*s = 0.
-7, -2, 2, 5
Let m(w) be the first derivative of -272 + 1/4*w**4 - 7/3*w**3 + 6*w + 1/5*w**5 - 1/2*w**2. Suppose m(x) = 0. What is x?
-3, -1, 1, 2
Let a = -173 - -177. Let l(s) = 6*s**3 + 6*s**2 + 14*s + 10. Let k(r) = -7*r**3 - 5*r**2 - 14*r - 11. Let g(y) = a*k(y) + 5*l(y). Find p, given that g(p) = 0.
-3, -1
Let p(g) be the second derivative of -g**6/100 - g**5/30 - g**4/30 + 27*g**2 - 55*g. Let i(b) be the first derivative of p(b). Find y such that i(y) = 0.
-1, -2/3, 0
Let p(b) be the second derivative of 4483*b**4/24 + b**3/6 + 4930*b. Suppose p(u) = 0. What is u?
-2/4483, 0
Let t(f) = f**5 - f**4 - 2*f**3 - 2*f**2 + f + 3. Let s(c) = -c**2 + 0*c + 0*c - 696 + 697. Let v(q) = -20*s(q) + 5*t(q). Factor v(w).
5*(w - 1)**3*(w + 1)**2
Solve -20/3 + 26/9*d + 62/9*d**2 - 2/9*d**4 - 26/9*d**3 = 0 for d.
-15, -1, 1, 2
Let x = -544025 - -2176103/4. Factor -15/4*d**2 - x*d**3 - 3 - 6*d.
-3*(d + 1)*(d + 2)**2/4
Let k(o) be the first derivative of -3*o**4/28 - 5*o**3/7 + 3*o**2 + 1115. Factor k(v).
-3*v*(v - 2)*(v + 7)/7
Determine q so that 2046/7*q - 3/7*q**2 - 348843/7 = 0.
341
Let x = 872947 - 872947. Determine o so that x - 8/7*o**3 - 1/7*o**4 + 1/7*o**5 + 12/7*o**2 + 0*o = 0.
-3, 0, 2
What is s in 0 + 234*s**3 + 9126/11*s**2 + 2/11*s**5 + 0*s - 150/11*s**4 = 0?
-3, 0, 39
Let l(u) be the third derivative of -u**5/540 + 61*u**4/108 - 3721*u**3/54 + 2*u**2 + 84*u. Factor l(o).
-(o - 61)**2/9
Let v = 327/28 - 33/28. Determine b, given that v*b**3 + 11*b**2 + 4*b + 1/2*b**5 + 0 + 4*b**4 = 0.
-4, -2, -1, 0
Find q, given that 3282/7*q + 1086/7*q**3 + 1095/7 + 468*q**2 - 3/7*q**4 = 0.
-1, 365
Suppose 86118/5*g**2 - 17298/5*g**3 + 1858/5*g + 2 = 0. Calculate g.
-1/93, 5
Let w(y) be the first derivative of 2*y**6/15 - 4*y**5/5 - 14*y**4 + 440*y**3/3 - 350*y**2 + 58*y + 15. Let g(l) be the first derivative of w(l). Factor g(o).
4*(o - 5)**2*(o - 1)*(o + 7)
Let x(o) = 19*o**2 + 625*o - 975. Let n(q) = 9*q**2 + 312*q - 498. Let h(f) = 13*n(f) - 6*x(f). Let h(j) = 0. Calculate j.
-104, 2
Let b(n) be the second derivative of n**5/70 - n**4/6 - 4*n**3/3 + 160*n**2/7 - 2334*n. Factor b(q).
2*(q - 8)*(q - 4)*(q + 5)/7
Let r(a) be the first derivative of -a**5/5 - 46*a**4 - 2882*a**3 - 8372*a**2 - 8281*a + 1281. Solve r(x) = 0 for x.
-91, -1
Let t(f) be the second derivative of -8*f**7/147 - 13*f**6/15 - 9*f**5/70 + 257*f**4/42 - 83*f**3/21 - 66*f**2/7 - f - 471. Solve t(g) = 0.
-11, -2, -3/8, 1
Let u(p) be the first derivative of -p**4/4 + 4*p**3/3 - p**2 - p + 19. Let l be u(2). Factor 9*c - 2*c - 4*c**l - 4*c**2 - 7*c.
-4*c**2*(c + 1)
Let y be 2/10 + 93/35. Suppose 0 = -40022*m + 40007*m + 60. Determine u so that -20/7*u - 4/7*u**5 + y*u**m + 4/7 + 40/7*u**2 - 40/7*u**3 = 0.
1
Suppose -2*b + 5*i + 327 = 36, -3*b + 446 = 2*i. Suppose -b = -64*f + 27*f. Let -3/5*p + 2/5 - 1/5*p**2 + 3/5*p**3 - 1/5*p**f = 0. What is p?
-1, 1, 2
Factor 1/4*t**5 + 0 + 0*t + 3249/4*t**2 + 47/4*t**4 + 703/4*t**3.
t**2*(t + 9)*(t + 19)**2/4
Let o = 338 + -332. Suppose -80 = -o*k - 14*k. Factor -2 - k*w - 1/8*w**4 - w**3 - 3*w**2.
-(w + 2)**4/8
Let c(f) be the first derivative of f**5/10 - 7*f**4/8 - f**3/2 + 55*f**2/4 + 25*f + 985. Factor c(o).
(o - 5)**2*(o + 1)*(o + 2)/2
Let a(o) be the third derivative of o**7/1680 - 7*o**6/360 + 11*o**5/80 + 101*o**3/6 + 193*o**2 + 2*o. Let g(v) be the first derivative of a(v). Factor g(y).
y*(y - 11)*(y - 3)/2
Let q(o) be the second derivative of -23*o + 0*o**2 + 0*o**6 + 1/2*o**4 + 0*o**3 - 1 - 1/42*o**7 + 7/20*o**5. Factor q(c).
-c**2*(c - 3)*(c + 1)*(c + 2)
Factor 6936/5*t - 2776/5 + 2*t**2.
2*(t + 694)*(5*t - 2)/5
Let m(i) be the second derivative of -i**6/75 + 19*i**5/5 - 3071*i**4/10 + 3572*i**3/3 - 8836*i**2/5 - 504*i. What is a in m(a) = 0?
1, 94
Let f(g) = 3*g**4 - g**3 + 3*g**2 - 1. Let z(q) = -17*q**4 + 21*q**3 - 33*q**2 - 36*q + 5. Let j(t) = 5*f(t) + z(t). Factor j(i).
-2*i*(i - 6)*(i - 3)*(i + 1)
Let d(q) = -q**2 + q + 11. Let j(f) = 3*f**2 - 408*f - 429. Let g(n) = 6*d(n) + 3*j(n). Let g(s) = 0. What is s?
-1, 407
Let w(m) be the second derivative of -9*m**2 + 0 + 1/45*m**5 + 0*m**3 + 4*m - 1/180*m**6 - 1/36*m**4. Let g(u) be the first derivative of w(u). Factor g(a).
-2*a*(a - 1)**2/3
Suppose 0 = -55*l - 65*l - 313*l - 443*l - 205*l. Suppose -38/5*p**2 + 0 + 78/5*p**3 + l*p - 4/5*p**4 = 0. Calculate p.
0, 1/2, 19
Let x(b) be the third derivative of b**7/504 - 7*b**6/9 + 392*b**5/3 + b**4/12 + 7*b**3/6 - 185*b**2. Let c(g) be the second derivative of x(g). Factor c(v).
5*(v - 56)**2
Let v(s) be the second derivative of -3*s**4/2 + 77*s**3/24 - 5