v - 39. Let q be d(-3). Let m = q - -215. Factor -25/2*h**3 - 35/2*h - 45/2*h**2 - 5/2*h**4 - m.
-5*(h + 1)**3*(h + 2)/2
Let x(m) be the second derivative of -3*m - 26/5*m**5 - 2/5*m**6 - 8*m**2 - 157/9*m**4 - 1 - 160/9*m**3. What is f in x(f) = 0?
-6, -2, -1/3
Let j(u) be the first derivative of 1/2*u**4 + 0*u + 45 + 1/15*u**6 + 4/15*u**3 + 8/25*u**5 + 0*u**2. Let j(y) = 0. Calculate y.
-2, -1, 0
Let s(m) be the second derivative of 3*m**5/80 - 3*m**4/4 - 45*m**3/8 - 1517*m + 1. Factor s(h).
3*h*(h - 15)*(h + 3)/4
Let d(c) be the first derivative of 4/45*c**6 + 14/3*c**3 - 17 + 0*c**2 + 1/30*c**5 + 0*c + 0*c**4. Let s(m) be the third derivative of d(m). Factor s(y).
4*y*(8*y + 1)
Let p(c) be the third derivative of 1/200*c**6 + 3/5*c**3 - 1/8*c**4 + 0 + 62*c**2 + 0*c - 1/50*c**5. Solve p(m) = 0 for m.
-2, 1, 3
Let w(b) be the second derivative of b**4/30 + 296*b**3/5 + 197136*b**2/5 - 62*b - 8. Solve w(k) = 0.
-444
Let l(t) = 17*t**2 + 25*t + 268. Let d(p) = -93*p**2 - 119*p - 1339. Let h(z) = -2*d(z) - 11*l(z). Suppose h(g) = 0. Calculate g.
-27, -10
Let a(m) be the first derivative of 2*m**3/9 - 31*m**2/3 - 64*m/3 - 2216. Find v, given that a(v) = 0.
-1, 32
Let o = 25 + 38. Let l = -59 + o. Determine h so that 864 - 864 + 8*h**2 + 2*h**5 + 18*h**3 + 12*h**l = 0.
-4, -1, 0
Let s(o) be the first derivative of -3*o**5/2 + 71*o**4/8 + 67*o**3/18 - 11*o**2/4 - 5*o/3 - 509. Find y, given that s(y) = 0.
-1/3, 2/5, 5
Let b(c) = -499*c**2 + 995*c**2 + 29*c + 21 - 498*c**2. Let d(t) = -3*t**2 + 42*t + 31. Let u(j) = -7*b(j) + 5*d(j). Determine x, given that u(x) = 0.
-1, 8
Let b = -607/4 + 1913/12. Let a = b + -31/6. Factor 1/2*o**2 - a*o + 3.
(o - 3)*(o - 2)/2
Let w = -42 - -45. Let u(n) = 2*n**2 - 8*n + 8. Let v be u(w). Factor -s**v + 6 - 8*s**2 - 6*s**3 + 11*s - 2*s.
-3*(s - 1)*(s + 2)*(2*s + 1)
Determine r so that 6/13*r**3 + 0 + 32*r**2 - 140/13*r**4 - 2/13*r**5 - 280/13*r = 0.
-70, -2, 0, 1
Let f be (-3)/(-30)*10/84. Let j(v) be the second derivative of 1/140*v**5 - 1/42*v**3 - f*v**4 + 1/14*v**2 + 0 - 23*v. Factor j(h).
(h - 1)**2*(h + 1)/7
Determine a so that -48 - 38/9*a + 2/9*a**2 = 0.
-8, 27
Let n(x) be the third derivative of x**6/720 + x**5/72 + x**4/24 - 106*x**2. Find w such that n(w) = 0.
-3, -2, 0
Let x(m) = 2 - 2 + 8*m**2. Let k(u) be the first derivative of u**4/4 + u**3/3 + 5. Let t(w) = -2*k(w) + x(w). Suppose t(b) = 0. Calculate b.
0, 3
Suppose 0 = -4*d - 7*w + 62, 2*w - 28 = -2*d - 0*w. Let n be (3/15)/(d/10). Determine g so that -1/2*g + n*g**4 + 0 + 7/6*g**2 - 5/6*g**3 = 0.
0, 1, 3
Let f be (-186)/(-38) + (-48)/(-208)*-13 + 2/19. Let 0*k - 2/9*k**4 - 4/3*k**3 + 0 + 32/9*k**f = 0. Calculate k.
-8, 0, 2
Let g = 175/107 - 58693/35952. Let q(a) be the third derivative of 0*a**3 + 0*a**4 + g*a**8 + 17*a**2 + 0*a - 1/210*a**7 + 0 + 0*a**6 + 0*a**5. Factor q(p).
p**4*(p - 1)
Let c be (2/(-3))/2 + 420/126. Factor 1212 - 2443 + c*d**3 + 45*d - 27*d**2 + 1210.
3*(d - 7)*(d - 1)**2
Let g = -4287 - -4287. Let c(k) be the second derivative of -9*k - 1/35*k**5 + g - 1/7*k**4 - 2/7*k**3 - 2/7*k**2. Factor c(y).
-4*(y + 1)**3/7
What is b in 130*b**2 + 0 + 2/13*b**3 + 1688/13*b = 0?
-844, -1, 0
Let i(p) = 102*p**2 + 540*p + 486. Let v(n) = 19*n**2 + 107*n + 97. Let j(b) = 3*i(b) - 16*v(b). Find z such that j(z) = 0.
-1, 47
Let k(m) be the second derivative of 0*m**2 - 1/30*m**3 + 8*m + 6 + 1/20*m**4 + 1/25*m**5. Factor k(f).
f*(f + 1)*(4*f - 1)/5
Let t be 1*2*(-1035)/(-138). Suppose -27 + t = -6*v. Let -8/7*f**v + 4/7*f - 4/7*f**3 + 2/7*f**4 + 6/7 = 0. Calculate f.
-1, 1, 3
Let o(v) be the third derivative of v**4 + 0 - 1/45*v**6 - 131*v**2 + 1/315*v**7 - 3*v**3 - 1/15*v**5 + 0*v. Find t, given that o(t) = 0.
-3, 1, 3
Suppose -36 + 4 = -4*d + 4*x, 2*x = -4*d + 8. Suppose 2*f - 10 = -d*k + 18, 21 = 4*f + k. Factor f*z + 3*z - z + 5*z**2 - z.
5*z*(z + 1)
Let y(q) = -q**3 - 4*q**2 + 11*q + 1. Suppose -2*p + 8 = -2*w + 22, -32 = 5*p - 2*w. Let s be y(p). Factor 49*f**2 - 343/3*f**3 + 1/3 - s*f.
-(7*f - 1)**3/3
Let p = 1799 + -26984/15. Let w(d) be the second derivative of 0 + 1/294*d**7 + 43/21*d**4 + 88/21*d**3 + 73/140*d**5 + 32/7*d**2 - 6*d + p*d**6. Factor w(h).
(h + 1)**2*(h + 4)**3/7
Let 60/7*f**2 + 0 - 1118/7*f + 2/7*f**3 = 0. What is f?
-43, 0, 13
Suppose -8975*d = -9052*d + 154. Factor 3/11*o - 27/11 + 4/11*o**d.
(o + 3)*(4*o - 9)/11
Let v(b) be the first derivative of b**6/16 - 3*b**5/10 - 39*b**4/32 + b**3/2 + 9*b**2/4 - 4281. Solve v(n) = 0 for n.
-2, -1, 0, 1, 6
Let l = -438 + 442. Suppose 2*n - 5*x + 0 = -16, -l*x = -4*n - 8. Find p, given that -38/5*p**n - 12/5*p + 0 + 14/5*p**3 = 0.
-2/7, 0, 3
Factor 174*j**4 + 264*j**3 - 39 + 810*j**2 - 91*j**4 - 86*j**4 + 816*j + 45 + 267.
-3*(j - 91)*(j + 1)**3
Let r(n) be the third derivative of -n**6/200 - n**5/5 + 147*n**4/40 - 117*n**3/5 - 314*n**2. Determine l, given that r(l) = 0.
-26, 3
Let x = 533 - 526. Suppose x*k - 3*k - 5*l - 10 = 0, -4*l = -4*k + 8. Determine r so that 3/4*r**2 + 0*r + k + 3/4*r**3 = 0.
-1, 0
Let j(g) be the second derivative of 0 + 99*g + 10/7*g**2 - 17/21*g**3 + 1/14*g**4. Factor j(n).
2*(n - 5)*(3*n - 2)/7
Let m be -10 - (-4 - (-128)/20)/(36/(-160)). Find j, given that 0 - m*j - 2/9*j**2 = 0.
-3, 0
Let u = -80649671 + 542046437783/6721. Let j = 2/517 - u. Solve 0 - j*r**2 + 0*r = 0 for r.
0
Let w(z) = 9*z**3 - z - 1. Let b be w(-1). Let r be (38/(-6))/(3/b). Let -10*d**2 - r - 8*d + 24*d**4 - 40*d**3 + 53*d + 6*d**4 - 5*d**5 - 1 = 0. Calculate d.
-1, 1, 4
Let -2/3*p**4 + 864 + 2616*p - 20303/6*p**2 - 191/2*p**3 = 0. Calculate p.
-72, -1/4, 1
Suppose 38 = 8*h - 2. Find x, given that -24*x - x**h + 23*x**2 + 56 + 0*x**3 - x**4 - 92 + 2*x**4 - 4*x**4 + 9*x**3 = 0.
-3, -1, 2
Suppose 5*z + 25 = 0, -7*v - 38 = -9*v + 4*z. Suppose -4*k - 13 = -u - v, -5*u - 3*k = -20. Factor 1/6*s**5 - 1/6*s + 1/3*s**u + 0 + 0*s**3 - 1/3*s**2.
s*(s - 1)*(s + 1)**3/6
Let g be (-2)/10 - 62/((-8990)/319). Factor 128/5 + 2/5*d**g - 32/5*d.
2*(d - 8)**2/5
Let n be (-24)/30*(-2)/(4/5). Factor -j - j**5 + j + 21543*j**n + 3*j**4 - 21547*j**2.
-j**2*(j - 2)**2*(j + 1)
Let q(f) be the second derivative of -3/80*f**5 + 1/8*f**3 + 0 - 70*f + 3/8*f**2 - 1/16*f**4. Suppose q(y) = 0. Calculate y.
-1, 1
Let j(m) = 29*m + 11 - 2*m**2 + 13*m - 25*m. Let v be j(9). Suppose -33 - 61*b - 23*b + 114*b + 3*b**v = 0. What is b?
-11, 1
Let x = 152 + -68. Factor x*n**3 + 511*n + 476*n + 15*n**4 + 39*n**2 - 1017*n.
3*n*(n + 1)*(n + 5)*(5*n - 2)
What is t in -2/7*t**5 + 0*t**2 + 0 + 0*t**3 + 360/7*t**4 + 0*t = 0?
0, 180
Suppose -36*q + 41*q = -3*i - 17, -29*q + 31 = 3*i. Suppose 1/5*u**2 - q*u + 16/5 = 0. What is u?
2, 8
Let h = -6415 + 6417. Let u(l) be the first derivative of 0*l + 29 - 2/15*l**5 - 7/12*l**4 - 2/9*l**3 + 1/2*l**h. Factor u(s).
-s*(s + 1)*(s + 3)*(2*s - 1)/3
Let d(n) be the third derivative of -8/3*n**3 - 1/30*n**5 + 12*n**2 + 1/2*n**4 + 4 + 0*n. Let d(c) = 0. What is c?
2, 4
Let k be -7 + 7 + 3/(18/274). Let b = 46 - k. Suppose 1/3*w**2 - b*w**3 + 0 + 2/3*w = 0. What is w?
-1, 0, 2
Let j be (-3)/(-6 + 963/162). Suppose -18*g - 18 = -j. Solve -2/7*x + 0 - 2/7*x**g = 0 for x.
-1, 0
Let o(q) be the second derivative of -q**4/3 + 616*q**3 + 2*q - 2626. Suppose o(i) = 0. What is i?
0, 924
Let l be (-18)/(-8) + 606/(-872). Let w = l - 6/109. Suppose 3/2*o**2 + 3/2*o - w*o**3 - 3/2*o**4 + 0 = 0. What is o?
-1, 0, 1
Let i(y) be the second derivative of y**6/540 - y**5/15 + 8*y**4/9 + 44*y**3 + y + 3. Let u(d) be the second derivative of i(d). Solve u(c) = 0.
4, 8
Let r = 26 - 22. Let u be (r/(-4) - -5)/(-2 - -4). Find t, given that 3*t**3 - 6*t**u - t - 9*t + t + 0*t = 0.
-1, 0, 3
Let a(r) be the third derivative of -51*r**2 - 1/32*r**4 + 1/840*r**7 - 1/12*r**3 + 1/240*r**5 + 1/160*r**6 + 0 + 0*r. Factor a(d).
(d - 1)*(d + 1)**2*(d + 2)/4
Let 40*y**2 + 34*y**4 + 6*y**3 - 168*y + 37*y**4 + 35*y**4 - 108*y**4 + 160 = 0. Calculate y.
-5, 2, 4
Suppose -79*o + 240*o - 1428 = 182. Determine l so that o*l - 18/7*l**2 + 8/7 = 0.
-1/9, 4
Let m(a) be the third derivative of -5*a**8/336 + a**7/2 - 21*a**6/4 + 9*a**5/2 + 2025*a**4/8 - 3645*a**3/2 - 8781*a**2. Determine n so that m(n) = 0.
-3, 3, 9
Factor 9/5*l**4 + 3/5*l**2 + 9/5*l**3 + 0 + 0*l + 3/5*l**5.
3*l**2*(l + 1)**3/5
Let v = -99667 + 6777493/68. Le