culate d.
-5, -2, -1
Solve -6 + 7/2*p**5 - 34*p + 9/2*p**4 - 47/2*p**3 - 105/2*p**2 = 0 for p.
-2, -1, -2/7, 3
Let v be ((-5 - -1) + 0/4)*2. Let d be 1 + v/6 + (-1)/(-3). Factor -5*f + 4*f**2 - 3*f**2 + 4 - 4*f**2 + d*f**3 - f**4 + 5*f**3.
-(f - 4)*(f - 1)**2*(f + 1)
Let y be (-79)/((-47558)/(-258))*(-14)/108*20. Suppose 94/9*w**2 + 4*w + y*w**3 + 0 = 0. Calculate w.
-9, -2/5, 0
Let s = -204105 + 204105. Solve s*r + 0 + 2/13*r**3 + 4/13*r**2 - 6/13*r**4 = 0.
-2/3, 0, 1
Let f(m) be the second derivative of 9/2*m**2 - 1/20*m**5 + 0 + 7/12*m**4 - 5/2*m**3 - 70*m. Solve f(t) = 0.
1, 3
Let p(w) be the first derivative of -6*w + 23/4*w**3 - 145 - 99/16*w**2 + 9/32*w**4. Suppose p(a) = 0. What is a?
-16, -1/3, 1
Let v(u) = -u**3 - 10*u**2 + 3*u + 3. Let o(b) = 3*b**2 - b - 1. Let x = 243 + -244. Let z(y) = x*v(y) - 3*o(y). Solve z(i) = 0.
-1, 0
Factor 189*r**2 + 11907*r + 0 + 3/4*r**3.
3*r*(r + 126)**2/4
Determine z, given that 510/13*z + 2/13*z**2 + 508/13 = 0.
-254, -1
Let f(c) be the first derivative of 9*c**5/10 - 23*c**4/4 + 27*c**3/2 - 15*c**2 - 35*c - 94. Let s(k) be the first derivative of f(k). Let s(v) = 0. What is v?
5/6, 1, 2
Suppose 310 = 17*i + 124 + 135. Suppose -2/7*l**i + 2/7*l + 6/7 - 6/7*l**2 = 0. Calculate l.
-3, -1, 1
Let y(k) = k**2 - 15*k - 76. Let z be 6/(-18)*-69 + -5 + 1. Let l be y(z). Factor -p**3 - 2/5*p**2 + 0 + l*p + 3/5*p**4.
p**2*(p - 2)*(3*p + 1)/5
Suppose 18*l - 22*l = -20. What is h in h**4 - 5*h**4 - 443*h**5 + 439*h**l = 0?
-1, 0
Let y(o) = o**3 + 7*o**2 + o - 18. Let w be y(-6). Let g be (-12 + 1956/42)/(w/21). Factor -9/2 - g*c**2 - 33*c.
-(11*c + 3)**2/2
Let b(i) be the second derivative of -i**6/120 + 309*i**5/40 - 94861*i**4/48 - 15965*i**3/2 - 24025*i**2/2 + i - 167. Find g such that b(g) = 0.
-1, 310
Let q(j) be the first derivative of -j**4/4 - 53*j**3/3 + 109*j**2/2 - 55*j - 2211. Suppose q(x) = 0. Calculate x.
-55, 1
Let t(p) = 65*p**2 - 35*p - 120. Let o(d) = 11*d**2 - 6*d - 20. Suppose -2*b = 3*b - 325. Let n = b + -71. Let u(i) = n*t(i) + 35*o(i). What is v in u(v) = 0?
-2, 2
Let l(m) = 4*m + 4. Let x be l(-1). Let i(f) be the first derivative of 1/5*f**4 + x*f**3 - 1/15*f**6 + 0*f + 2/25*f**5 + 0*f**2 - 18. What is a in i(a) = 0?
-1, 0, 2
Let g = 3276 + -2502. Let k = g + -774. Factor -1/5*v - 3/5*v**3 + k + 4/5*v**2.
-v*(v - 1)*(3*v - 1)/5
Let k(b) be the third derivative of -13/18*b**4 + 11/90*b**5 - 89*b**2 + b - 1/180*b**6 + 0 + 16/9*b**3. Find s such that k(s) = 0.
1, 2, 8
Let k = -92 - 337. Let m = -426 - k. Suppose 0*i**4 - 1/2*i**5 - 3/2*i + 1 - i**2 + 2*i**m = 0. What is i?
-2, -1, 1
Suppose -2*n = -2*k - 43 - 15, -4*n = 5*k + 109. Let x = -25 - k. Suppose 2*v**2 + 2/3*v + x - 46/3*v**4 - 6*v**3 - 8*v**5 = 0. What is v?
-1, -1/4, 0, 1/3
Suppose 0 = -c + 4*r + 23, 3 - 62 = -4*c + 5*r. Suppose c*z - 19 = 3. Factor 5/3*f**z - 10 + 5/3*f.
5*(f - 2)*(f + 3)/3
Let i(n) be the third derivative of n**5/12 - 295*n**4/12 - 605*n**3/2 + 3486*n**2. Factor i(k).
5*(k - 121)*(k + 3)
Factor 142*h + 2/3*h**2 + 0.
2*h*(h + 213)/3
Let r(v) be the second derivative of 3/5*v**5 - 3/10*v**6 - 1/14*v**7 + 3*v**4 + 0*v**3 - 151*v + 0 + 0*v**2. Determine b so that r(b) = 0.
-3, -2, 0, 2
Let s = 8143/6078 - 13/2026. Let v(c) be the third derivative of 1/15*c**5 + 41*c**2 + 0*c + s*c**3 + 0 + 1/2*c**4. Factor v(y).
4*(y + 1)*(y + 2)
Let i = 3397 + -3397. Factor i - 3/4*k + 3/4*k**3 - 1/4*k**4 + 1/4*k**2.
-k*(k - 3)*(k - 1)*(k + 1)/4
Let p(q) be the first derivative of 3*q - 4/7*q**3 + 18 + 8/7*q**2 + 1/7*q**4 - 1/70*q**5. Let x(c) be the first derivative of p(c). Factor x(g).
-2*(g - 2)**3/7
Let j(w) be the third derivative of -w**5/20 + 137*w**4/4 + 11034*w**2. Factor j(o).
-3*o*(o - 274)
Let d be (-23224)/(-1440) + -16 - 8/180. Factor 0*m - d*m**5 + 0 + 0*m**2 + 1/12*m**3 + 0*m**4.
-m**3*(m - 1)*(m + 1)/12
Let x(k) be the first derivative of 88/21*k**3 - 19/7*k**2 + 4/7*k + 31. Factor x(a).
2*(4*a - 1)*(11*a - 2)/7
Let m(z) be the third derivative of -z**8/26880 - z**7/336 + 7*z**6/320 + 11*z**5/12 - 10*z**2 + z. Let v(l) be the third derivative of m(l). Factor v(j).
-3*(j - 1)*(j + 21)/4
Let t(j) = 80*j**3 + 11550*j**2 + 9852*j + 2136. Let w(g) = -243*g**3 - 34650*g**2 - 29555*g - 6403. Let d(z) = 17*t(z) + 6*w(z). What is q in d(q) = 0?
-117, -3/7
Let x = 182614 + -182611. Factor -162/5*i - 236/5*i**x - 8*i**4 - 72*i**2 - 2/5*i**5 + 0.
-2*i*(i + 1)**2*(i + 9)**2/5
Determine u so that 1/3*u**4 - 13/3*u**3 - 352/3 - 58*u**2 - 512/3*u = 0.
-4, -1, 22
Factor -2/5 + 3/5*a**2 - 1/5*a**3 + 1/5*a - 1/5*a**4.
-(a - 1)**2*(a + 1)*(a + 2)/5
Let u(b) be the second derivative of -b**7/21 + 178*b**6/15 + 359*b**5/10 + 30*b**4 + 231*b - 1. Factor u(l).
-2*l**2*(l - 180)*(l + 1)**2
Let u(c) be the second derivative of -11*c - 1/9*c**3 - 3 + 1/6*c**2 + 1/36*c**4. Suppose u(y) = 0. Calculate y.
1
Let j(k) be the first derivative of -k**3/8 - 2295*k**2/4 - 1755675*k/2 - 202. Solve j(y) = 0.
-1530
Let n be (48/40)/(6/15). Let r = n - -1. Factor -19 + r*d**2 + 2*d + 34 - 19 - 2*d**2.
2*(d - 1)*(d + 2)
Suppose -221*t + 458*t + 4 - 503 + 25 = 0. Factor 2/3*k**3 - 2/3*k**t + 2/3 - 2/3*k.
2*(k - 1)**2*(k + 1)/3
Let z(c) = -c. Let s be z(-2). Suppose 16*b - 312 - 24 = 0. Factor 5*g - b*g**2 + 19*g**2 - s - g.
-2*(g - 1)**2
Suppose -804*w - 220 + 1828 = 0. Factor 3/4*b**3 - 12 + 21/4*b**w - 15/2*b.
3*(b - 2)*(b + 1)*(b + 8)/4
Suppose -3*g = -4*x + 2*g + 55, -x - 5*g = 5. Let h = -7 + x. Factor -2*r**4 + 3*r**2 - 6 + 16*r + 1 + 1 - 2*r**4 - 11*r**h.
-(r - 1)*(r + 2)**2*(4*r - 1)
Suppose 0 = -4*b + 8, 3*w + 6*b = 9*b + 3. Let -1/6*n**w + 0 + 0*n + 10/3*n**2 = 0. What is n?
0, 20
Let d(v) be the third derivative of v**9/3024 - v**7/168 + v**6/72 - 11*v**4/24 - v**3/2 + 50*v**2. Let c(x) be the second derivative of d(x). Factor c(f).
5*f*(f - 1)**2*(f + 2)
Suppose x + 12*w - 16*w - 20 = 0, w - 16 = -5*x. Suppose 3*l + x = 5*l, 3*z + 4*l = 8. Factor -1/3*u**5 + z*u + u**3 + 2/3*u**2 + 0 + 0*u**4.
-u**2*(u - 2)*(u + 1)**2/3
Let t = -99268 - -99271. Determine l, given that 0 + 6/5*l**2 - 3/5*l - 3/5*l**t = 0.
0, 1
Let m(b) be the second derivative of -b**5/40 - 49*b**4/8 + 99*b**3/4 - 149*b**2/4 - 25*b + 43. Factor m(h).
-(h - 1)**2*(h + 149)/2
Determine m, given that -206/3*m**2 + 0 + 1/3*m**3 + 205/3*m = 0.
0, 1, 205
Let y be 3/27 + 118076/(-126). Let v = y + 939. Factor -6/7*b**3 + 0*b + 0*b**v - 2/7*b**4 + 0.
-2*b**3*(b + 3)/7
Let n(u) = u**5 - u**3 + u**2. Let c(b) = -7*b**5 + 10*b**3 - 4*b**2 - 3*b. Let s be -3 + (4 - (4 - -1)). Let i(t) = s*n(t) - c(t). Factor i(j).
3*j*(j - 1)**2*(j + 1)**2
Suppose 6 = 7*j - 8. Let n(q) = 9*q**2 + 15*q - q**2 - 5*q + j*q**2. Let k(p) = 2*p**2 + 2*p. Let w(m) = 28*k(m) - 6*n(m). Suppose w(x) = 0. What is x?
-1, 0
Let y(a) = -a**3 - 18*a**2 + 19*a + 38. Let q be y(-20). Let b = -458 + q. Solve 21/2*r + 3/2*r**2 + b = 0.
-7, 0
Suppose 0 = -4*g + 8 + 12. Let l(u) = 10*u + 172. Let q be l(-17). Factor -12 - g*s + 56*s - 39*s**q - 11*s + 9*s**3.
(s - 3)*(3*s - 2)**2
Let u(s) = -5*s**4 - 36*s**3 - 844*s**2 - 2657*s - 1886. Let k(i) = -4*i**4 - 24*i**3 - 563*i**2 - 1771*i - 1258. Let h(p) = -7*k(p) + 5*u(p). Factor h(a).
3*(a - 13)*(a + 1)*(a + 4)**2
Let f = -1843 - -528. Let q = f - -1315. What is o in q + 2/9*o**4 - 2/9*o**3 - 10/9*o**2 - 2/3*o = 0?
-1, 0, 3
Suppose 4*m - 22 = -3*i, 5*i - 4*m - 78 = -84. Let h(v) be the first derivative of -2/7*v**i - 2/21*v**3 + 10 + 0*v. Factor h(d).
-2*d*(d + 2)/7
Let v(m) = 2*m - 11. Suppose 5*t = 4*t + 12. Let i be v(t). Factor -98 + i*u - 13*u + 28*u - 2*u**2.
-2*(u - 7)**2
Let j(z) be the first derivative of -z**6/21 + 4*z**5/35 + 3*z**4/14 - 8*z**3/21 - 4*z**2/7 - 269. Factor j(t).
-2*t*(t - 2)**2*(t + 1)**2/7
Let a = 51 - 46. Let w be 3/a - 35/(-25). Factor 2*r + 4*r - 24*r**3 + 33*r**3 - 15*r**w.
3*r*(r - 1)*(3*r - 2)
Suppose -15*z + 1097 = 1067. Suppose -124/9*g + 2/9*g**z + 0 = 0. Calculate g.
0, 62
Let a be 2/((-4)/3) - (7371/(-126))/39. Determine y so that -2/9*y**2 + 2/9*y**4 - 10/9*y + 10/9*y**3 + a = 0.
-5, -1, 0, 1
Let d(h) be the first derivative of h**6/45 + 16*h**5/75 + 2*h**4/15 - 32*h**3/9 - 64*h**2/15 + 512*h/15 - 2328. What is t in d(t) = 0?
-4, 2
Suppose 10*v = 3*t - 18, -22*v = -19*v - 5*t + 30. Factor -3*d**2 + v*d + 2*d**3 + 0 - 1/3*d**4.
-d**