culate d.
-1, 0, 2/11
Let m = -3/368138 + 736327/6258346. Solve 36/17*d + m*d**4 - 4/17*d**3 - 18/17*d**2 + 0 = 0 for d.
-3, 0, 2, 3
Let l(n) = 5497*n + 16494. Let o be l(-3). Suppose -1/5*f**5 + 4/5*f**o + 18/5 - 3/5*f + 4/5*f**4 - 22/5*f**2 = 0. Calculate f.
-2, -1, 1, 3
Let i(k) be the first derivative of 5*k**4/12 + 5*k**3/2 - 39*k - 42. Let d(u) be the first derivative of i(u). Determine b so that d(b) = 0.
-3, 0
Let w(k) be the first derivative of 4*k**3/3 + 1940*k**2 + 940900*k + 1380. Determine l so that w(l) = 0.
-485
Determine r, given that 10*r - 670 - r**2 + 2*r**2 + 317 + 297 = 0.
-14, 4
Factor 263/4 - 197*i - 3/4*i**2.
-(i + 263)*(3*i - 1)/4
Let u(j) = j + 8. Let m be u(-6). Let r be (12/51)/m + (-32)/(-17). Solve d**r - 1/2 + 3/2*d**3 - 1/2*d**4 - 3/4*d - 3/4*d**5 = 0 for d.
-1, -2/3, 1
Let v = 52 - 49. Let y(j) = -j**2 - 4*j + 79. Let l be y(-11). What is i in -v*i**l - 4*i**2 - 7*i**2 - 4*i**3 + 2*i + 16*i**2 = 0?
-1/2, 0, 1
Let m(r) = -30*r**3 + 85*r**2 - 68*r + 28. Let v(y) = -212*y**3 + 596*y**2 - 476*y + 192. Let k(s) = 20*m(s) - 3*v(s). Find b such that k(b) = 0.
4/9, 1
Let q = 8 - 5. Let b = 836908 + -836908. Determine d so that -8/3*d**3 + 1/3*d**5 - q*d + b - 2/3*d**4 + 6*d**2 = 0.
-3, 0, 1, 3
Let a be (4/(-6))/((-31)/186). Let -6*y - 115 - 11*y**5 + 17*y**3 + 115 - 5*y**2 + 5*y**a = 0. What is y?
-1, -6/11, 0, 1
Let n(l) = 3*l - 3 + 3 - l + 2. Let z be n(1). Factor -7*p**z + 6*p + 5*p**4 + 2*p**2 + 0*p**2 - 6*p**3.
-2*p*(p - 1)*(p + 1)*(p + 3)
Let p(u) be the first derivative of -u**3/9 + 4183*u**2/3 - 17497489*u/3 + 5902. Factor p(y).
-(y - 4183)**2/3
Let w(o) be the first derivative of 7*o**7/15 - 7*o**6/60 - 4*o**5/3 + 4*o**4/3 - 125*o**2/2 - 104. Let c(n) be the second derivative of w(n). Factor c(r).
2*r*(r + 1)*(7*r - 4)**2
Suppose 2*p + 504 = -4*t, 2*p = 9*t - 5*t - 520. Let r be (p/80)/(9/5) - -2. Let 2/3*u - 2/9*u**2 - 2/3*u**3 - r*u**4 + 4/9 = 0. Calculate u.
-2, -1, 1
Let z = 1/152 - -581/4104. Let j(f) be the first derivative of 1/9*f**4 - 2/9*f - 2/45*f**5 + 24 + z*f**3 - 1/9*f**2 - 1/27*f**6. Factor j(q).
-2*(q - 1)**2*(q + 1)**3/9
Let v(s) be the first derivative of 20/3*s**3 - 18 + 12/5*s**5 + 9*s**4 + 0*s**2 + 0*s - 2/3*s**6. Factor v(k).
-4*k**2*(k - 5)*(k + 1)**2
Let b = -7692 - -7692. Let p(t) be the third derivative of -1/50*t**6 + 1/75*t**5 + 0*t + 25*t**2 - 1/420*t**8 + 2/175*t**7 + b*t**3 + 0*t**4 + 0. Factor p(j).
-4*j**2*(j - 1)**3/5
Let i be (-1632)/192*(-170)/1. Let j = i + -7221/5. What is q in -4 + j*q**2 + 16/5*q = 0?
-5, 1
Let h(q) = -151*q**2 - 63*q + 147*q**2 - 30 - 58*q + 93*q. Let o(n) = -31*n + 9*n - 29 - 5*n - 3*n**2. Let f(d) = -5*h(d) + 6*o(d). Find i, given that f(i) = 0.
-1, 12
Let z(i) be the third derivative of i**7/168 - 25*i**6/48 + 833*i**5/48 - 1445*i**4/6 + 38*i**2 - 38*i. Factor z(h).
5*h*(h - 17)**2*(h - 16)/4
Let q be (2913/16507)/(7/119). Factor -8/7 - 12/7*h**q - 24/7*h - 26/7*h**2 - 2/7*h**4.
-2*(h + 1)**2*(h + 2)**2/7
Let v(g) = -g**5 - 20*g**4 + g**3 + 25*g**2 - 5. Let l(h) = 2*h**5 + 31*h**4 - 2*h**3 - 38*h**2 + 7. Let y(w) = 5*l(w) + 7*v(w). Factor y(b).
3*b**2*(b - 1)*(b + 1)*(b + 5)
Let u(n) be the third derivative of -n**8/504 + 17*n**7/315 + 19*n**6/90 + n**5/45 - 37*n**4/36 - 19*n**3/9 - n**2 + 1349. Find j, given that u(j) = 0.
-1, 1, 19
Factor -14360/7*z**2 - 12/7*z**3 + 684*z + 0.
-4*z*(z + 1197)*(3*z - 1)/7
Let i be (-182735)/(-966)*(-3)/(-20)*-1. Let t = 231/8 + i. What is n in -1/6*n**2 + 1/3*n + t = 0?
-1, 3
Solve -578/7*s**3 + 11064/7*s**2 + 8/7*s**4 - 3190*s + 700 = 0.
1/4, 2, 35
Suppose v + 20 - 23 = 0, 3*v - 45 = -11*n - v. Factor 0 - 14/5*i**2 + 2/5*i**n + 24/5*i.
2*i*(i - 4)*(i - 3)/5
Suppose -12*d + 8*d + 8 = 0. Let f be ((-48)/(-36))/(d/3). Factor -h**5 - 2*h**5 - 6*h**4 + 64*h**2 + 12*h**3 - 40*h**f.
-3*h**2*(h - 2)*(h + 2)**2
Let u(c) be the second derivative of c**6/10 - 9*c**5/10 + 13*c**4/4 - 6*c**3 + 6*c**2 + 1349*c. Suppose u(f) = 0. Calculate f.
1, 2
Let a = 4029 + -680877/169. Let h = a - -2/169. Factor 4/13 + h*j - 2/13*j**2.
-2*(j - 2)*(j + 1)/13
Let a(y) be the first derivative of -39*y**2 + 546*y + 526. Let n be a(7). Factor -1/2*v**3 - 2*v**2 + n*v + 0.
-v**2*(v + 4)/2
Suppose 27 - 59 = -98*g - 32. Factor 16/3*w**2 + 8/3*w + 2*w**3 + g.
2*w*(w + 2)*(3*w + 2)/3
Let d(w) = -206*w - 615. Let k be d(-3). Let u(q) be the second derivative of -1/3*q**2 - 1/9*q**k - 1/72*q**4 + 0 - 21*q. Let u(h) = 0. What is h?
-2
Factor -53768/3*p - 2/9*p**4 - 163592/9 + 188/3*p**3 - 38618/9*p**2.
-2*(p - 143)**2*(p + 2)**2/9
Let c = 1963 + -901. Determine u so that -5*u + 5*u + 1063*u**4 + 8*u**3 - c*u**4 + 7*u**2 = 0.
-7, -1, 0
Let m = 201053/260 + -10052/13. Let z(t) be the first derivative of 0*t + 0*t**2 + 0*t**3 - 33 - 1/24*t**6 - m*t**5 + 1/8*t**4. Let z(x) = 0. Calculate x.
-2, 0, 1
Suppose 3 = 3*t - 3*l, -6*l = 5*t - 3*l - 13. What is p in -33*p - 2629*p - 1347*p**2 - 2*p**4 + 621*p**t - 66*p**3 = 0?
-11, 0
Let b(x) be the first derivative of 0*x**2 - 19*x + 1/12*x**3 + 1/40*x**5 + 1/12*x**4 - 26. Let y(f) be the first derivative of b(f). Factor y(d).
d*(d + 1)**2/2
Let d(t) = 338*t**3 + 294*t**2 - 6530*t - 13506. Let y(u) = -337*u**3 - 291*u**2 + 6539*u + 13507. Let o(s) = 13*d(s) + 14*y(s). Determine z so that o(z) = 0.
-26/9, 5
Find i, given that 843/7*i**2 - 178084/7 + 1/7*i**3 + 25320*i = 0.
-422, 1
Let d(z) = 6*z - 2. Let v be d(1). What is q in 84 + 20*q - 15*q**2 - 144 + 15*q**5 - 30*q**2 + 80 + 25*q**v - 35*q**3 = 0?
-2, -1, -2/3, 1
Factor 1/4*d**3 + 8*d - 7 - 11/4*d**2.
(d - 7)*(d - 2)**2/4
Let -8*p**3 + 2/3 + 80/3*p**2 - 74/9*p = 0. What is p?
1/6, 3
Let n(v) = -11*v**2 - v + 22. Let f(m) = -11*m**2 + 9*m**2 - m - 5*m**2 + 15. Let w(s) = -8*f(s) + 5*n(s). Suppose w(b) = 0. Calculate b.
-5, 2
Suppose -47 = -w + k, -3*w = -4*k + 6*k - 156. Let i(c) = -6*c**2 + 299*c + 53. Let o be i(w). Factor 0*f**2 - 2/3*f**5 + 0*f + 0*f**o + 0 - 2/3*f**4.
-2*f**4*(f + 1)/3
Let n(p) be the third derivative of 1/96*p**4 - 4*p**2 + 1/120*p**5 + p + 1/480*p**6 + 0 + 0*p**3. Factor n(t).
t*(t + 1)**2/4
Suppose 598*o = 595*o + 6. Factor 14*g + 1492*g**3 + 42*g + g**o - 1493*g**3.
-g*(g - 8)*(g + 7)
Let v = 196559 - 393103/2. What is g in -3*g**5 - v*g - 9/2*g**2 + 0 + 9/2*g**4 + 21/2*g**3 = 0?
-1, 0, 1, 5/2
Suppose -5*t + 1526 = -2*u - 5409, 5545 = 4*t - u. Let b = 1387 - t. Factor -3/7*h**b - 3/7*h + 3/7*h**3 + 0 + 3/7*h**4.
3*h*(h - 1)*(h + 1)**2/7
Let g(q) = q**2 - 11*q + 12. Let a be g(15). Let k = a - 68. Let -4*h + k*h + 0*h - 6*h - 5 - h**2 = 0. Calculate h.
-5, -1
Let q = 1313/1748 - 1/874. Find w, given that -16*w + 5 + 67/4*w**2 - 13/2*w**3 + q*w**4 = 0.
2/3, 1, 2, 5
Let l(u) = -288*u - 10*u**2 + 298*u + 28*u**2 + 3*u**3 + 7*u**4 - 12. Let x(j) = j**4 + 2*j**3 + j + 2. Let h(v) = l(v) - 6*x(v). Suppose h(g) = 0. Calculate g.
-1, 2, 6
Suppose 782/11*r**2 - 36/11 + 346/11*r = 0. What is r?
-9/17, 2/23
Let j(b) = -b**3 - 2*b**2 + 5*b + 5. Let x be j(0). Let 45*y**2 - 46*y + 85*y - 79*y - x*y**3 = 0. Calculate y.
0, 1, 8
Let p = -374 + 376. Let t be (-17)/(-119) - p/(-182). Determine s so that -t*s**2 + 6/13*s**3 + 4/13 - 6/13*s - 2/13*s**4 = 0.
-1, 1, 2
Let c(a) = -7*a**2 - a - 1. Let y be c(1). Let o = 25 + y. Solve 13*g**4 + o*g**4 + 2*g + 3*g**2 - 30*g**4 = 0.
-1, 0, 2
Let x(f) be the third derivative of f**6/160 + f**5/8 + 25*f**4/32 + 622*f**2. Factor x(l).
3*l*(l + 5)**2/4
Let v = 752 - 4507/6. Let b(x) be the first derivative of v*x**3 - 19 - 5/6*x**2 + 0*x - 5/24*x**4. Suppose b(i) = 0. What is i?
0, 1, 2
Let j(l) = -l**2 - 72*l - 6. Let w(g) = -4*g**2 - 251*g - 17. Let f(u) = -7*j(u) + 2*w(u). Factor f(q).
-(q - 4)*(q + 2)
Let w = -480775 - -480775. Factor 2/3*y**3 - 2/15*y**4 + w - 8/15*y**2 + 0*y.
-2*y**2*(y - 4)*(y - 1)/15
Let y = 82 + -72. Determine s, given that -5*s**3 - 48*s**2 + 18*s**2 + y*s**2 = 0.
-4, 0
Let k(m) be the third derivative of -m**8/6720 + 23*m**7/280 - 1587*m**6/80 + 121*m**5/60 + 70*m**2. Let n(o) be the third derivative of k(o). Factor n(z).
-3*(z - 69)**2
Let j(p) be the third derivative of -23/6*p**4 - 21*p + 0 - 2/3*p**5 - 28/3*p**3 - 1/30*p**6 + 3*p**2. Suppose j(x) = 0. What is x?
-7, -2, -1
Let w be ((-61)/60 - 54/(-90))*(-7424)/1740. Find y such that 0 - 4/9*y**2 + w*y = 0.
0, 4
Factor -97 + 410 -