 What is w in c(w) = 0?
-8, -7
Suppose 8*f = -15*f + 8*f. Let z(p) be the third derivative of 1/8*p**6 + 1/42*p**7 + 0*p + 0*p**4 + f + 12*p**2 + 0*p**5 + 0*p**3. Factor z(w).
5*w**3*(w + 3)
Let l(a) = -a**2 + 139*a - 4014. Let v be l(41). Let 4/19*z + 6/19*z**3 + 0 - 2/19*z**5 + 2/19*z**v - 10/19*z**2 = 0. Calculate z.
-2, 0, 1
Suppose -15 = -0*d - d - 3*z, 3*d = z - 5. Suppose 2*f - 5*j = -7*j + 6, 3*f = 4*j + 9. Factor d*i - 2/3*i**2 + 0 + 2/3*i**f.
2*i**2*(i - 1)/3
Let p be (-29)/232 - (18/(-16) + 1). Let u be p/((2/10)/((-5)/25)). What is l in 2/5*l**2 - 1/5 + u*l**3 - 1/5*l**4 + 0*l = 0?
-1, 1
Let b(a) = -3735*a + 26147. Let j be b(7). Factor 8/11 - 4/11*k**3 - 6/11*k**j + 8/11*k + 2/11*k**4.
2*(k - 2)**2*(k + 1)**2/11
Factor -680*c - 3398/5 - 2/5*c**2.
-2*(c + 1)*(c + 1699)/5
Let i(b) = 19*b**2 + 4722*b - 4732. Let y(d) = -350*d**2 - 84995*d + 85180. Let j(p) = 55*i(p) + 3*y(p). Let j(x) = 0. What is x?
1, 944
Let y = 37 - 12. Suppose -3*z + y = -d - d, 3*d + 35 = 4*z. Determine x, given that -8 + z*x - 2*x**2 - 2*x - 22*x + 9*x = 0.
-4, -1
Let i(p) be the first derivative of 3*p**3 - 78*p**2 + 1280*p - 29. Let z(j) = -55*j**2 + 935*j - 7680. Let u(r) = 25*i(r) + 4*z(r). Factor u(h).
5*(h - 16)**2
Let y(j) be the first derivative of -176 + 0*j**3 + 0*j**2 + 1/2*j**6 - 3*j**4 + 0*j + 9/5*j**5. Solve y(w) = 0.
-4, 0, 1
Let i = -5695 - -5700. Let o(y) be the third derivative of -1/105*y**i + 0*y**4 + 0*y + 1/105*y**6 - 21*y**2 + 0 - 2/735*y**7 + 0*y**3. Factor o(p).
-4*p**2*(p - 1)**2/7
Let i = 500362 - 500359. Determine x so that -x + 0 + 3/2*x**i - 1/2*x**5 + 1/2*x**4 - 1/2*x**2 = 0.
-1, 0, 1, 2
Let i be (944/(-16))/(-1 - 1 - -1). Let f = -2 - -17. Let -36 - i*p**3 - 9*p**2 + 84*p + 20*p**3 - f*p**3 = 0. What is p?
-3/2, 2/3
Determine c, given that 155/2 - 78*c**2 - 77*c**3 + 1/2*c**4 + 77*c = 0.
-1, 1, 155
Let z(f) be the first derivative of -f**3/3 - 6*f**2 - 3*f + 15. Let s be z(-11). Solve 3 - 4 - 4*w**2 + w**2 + w**3 - 5*w + s*w = 0.
1
Let h be 7755/15 - (-2 + 2 + -4). Factor -1600 - i**2 + h*i + i**3 + 524*i + 475*i + 80*i**2.
(i - 1)*(i + 40)**2
Suppose -c = 5*d - 16, -3*d + 3*c = -2*c - 32. Suppose -10*l + 11*l - d = 0. What is w in 35*w**l + 30*w**3 - 10*w - 1739 - 20*w**5 + 1739 - 35*w**2 = 0?
-1, -1/4, 0, 1, 2
Let a(i) be the first derivative of i**5/140 - 3*i**4/28 + 4*i**3/7 - 8*i**2/7 - 83*i + 82. Let h(v) be the first derivative of a(v). Factor h(w).
(w - 4)**2*(w - 1)/7
Let c = 12176 + -12173. Let j(v) be the third derivative of 0 - 1/18*v**5 + 1/18*v**4 + 0*v + 17/1080*v**6 + 4/27*v**c - 1/630*v**7 - 39*v**2. Factor j(a).
-(a - 2)**3*(3*a + 1)/9
Let j = 78574/9 + -8730. Let i(g) be the first derivative of -22 + 100/3*g - 20/3*g**2 + j*g**3. What is m in i(m) = 0?
5
Let t(a) = -17*a + 1 + a**2 + 2*a + 8*a + 6*a. Let m(f) = 11*f + 10. Let z be m(-1). Let k(v) = -2*v**2 + 5*v - 2. Let n(q) = z*k(q) - 3*t(q). Factor n(c).
-(c + 1)**2
Let g = 6 + -28/5. Suppose 44*q - 8 = 42*q + 4*o, 0 = 3*q - 2*o - 8. Factor 12/5*b + g*b**q + 18/5.
2*(b + 3)**2/5
Let d(f) be the third derivative of -2*f**5/5 - 55*f**4/3 - 3025*f**3/9 + 1510*f**2. Factor d(a).
-2*(6*a + 55)**2/3
Let m(s) = s**2 - 30*s + 233. Let o be m(16). Suppose z - 4 = -3*n, -n + 5*z - o = 11. Factor n + 3/4*y**2 - 3/4*y.
3*y*(y - 1)/4
Suppose 4*o + 2*r = 6*r - 16, -o - 3*r = -16. Let k be o/(51/(-27) - -2). Factor -4*w + 12*w**4 - k*w**4 + 18*w**3 + 28*w + 36*w**2.
3*w*(w + 2)**3
Suppose 3*o - 5 = 2*o. Suppose 0 = -0*k + 4*k - 24. Factor 5*r**3 - o*r - 7*r**3 + k*r**2 - 2*r + 3*r.
-2*r*(r - 2)*(r - 1)
Factor 414/5 - 2/5*j**3 + 34/5*j**2 + 258/5*j.
-2*(j - 23)*(j + 3)**2/5
Factor 131/2 - 1/2*a**2 - 65*a.
-(a - 1)*(a + 131)/2
Let j(s) be the first derivative of 3*s**5/5 + 39*s**4/2 + 137*s**3 - 714*s**2 - 1764*s - 6176. Factor j(i).
3*(i - 3)*(i + 1)*(i + 14)**2
Let z(t) be the second derivative of -t**5/20 - 5*t**4/8 - 33*t**2/2 - 5*t + 4. Let o(r) be the first derivative of z(r). Factor o(k).
-3*k*(k + 5)
Let 136 - 236/9*g**3 - 2/3*g**4 - 1118/9*g**2 - 328/3*g = 0. Calculate g.
-34, -3, 2/3
Let k(b) = 6*b**3 - 174*b**2 + 861*b - 1099. Let l(g) = 3*g**3 - 87*g**2 + 432*g - 550. Let d(p) = -2*k(p) + 5*l(p). Determine i, given that d(i) = 0.
2, 4, 23
Let k(g) be the second derivative of 11*g**7/98 - 2*g**6/35 - 9*g**5/28 + 221*g. Factor k(q).
3*q**3*(q + 1)*(11*q - 15)/7
Let z(f) be the first derivative of -f**7/120 - f**6/30 + 13*f**5/60 + f**4/6 + 11*f**2 - f - 97. Let c(h) be the second derivative of z(h). Solve c(m) = 0.
-4, -2/7, 0, 2
Let z(i) be the second derivative of 7*i**6/90 - 29*i**5/60 - 5*i**4/6 + 256*i. Factor z(t).
t**2*(t - 5)*(7*t + 6)/3
Find b, given that 672/5*b**2 + 34/5*b**4 - 322/5*b**3 - 162/5 - 45*b + 3/5*b**5 = 0.
-18, -1/3, 1, 3
Let y(x) = -61 - 7*x**2 + 8*x**2 - 202*x + 172*x. Let w be y(32). Solve -3/8*h + 15/8*h**w + 9/8*h**2 - 3/8 + 3/4*h**4 = 0.
-1, 1/2
Let o(t) be the second derivative of 10*t**6/3 - 9*t**5 - 26*t**4/3 + 24*t**3 - 16*t**2 + 4*t + 40. Let o(v) = 0. Calculate v.
-1, 2/5, 2
Factor -1935*g - 120 + 380*g + 1202*g**2 + 7*g**3 + 136 + 330.
(g - 1)*(g + 173)*(7*g - 2)
Suppose 0 = -31*h + 32*h + 21. Let w = -21 - h. Suppose -4*s**2 + 66 + w*s**3 - 66 + 4*s**3 = 0. Calculate s.
0, 1
Find c, given that -20 - 267*c**2 + 304*c - 1244*c - 680 - 28*c**3 - c**4 = 0.
-10, -7, -1
Factor 459*j + 2118 - 3*j**2 + 579*j + 15*j.
-3*(j - 353)*(j + 2)
Let u = 7 - 3. Suppose 4*n = 12 - u. Let h**5 - 7*h + 11*h - 6*h**3 - n*h**4 + h**5 + 2*h**2 = 0. Calculate h.
-1, 0, 1, 2
Suppose -8/9*h**5 + 202/9*h - 38/9*h**4 + 130/9*h**2 - 2*h**3 + 28/3 = 0. What is h?
-3, -7/4, -1, 2
Let u(p) = 5*p**5 - p**4 - 2*p**3 - p**2 + p. Let n(l) = 38*l**5 - 83*l**4 - 235*l**3 - 93*l**2 + 63*l. Let s(x) = -5*n(x) + 35*u(x). Find o such that s(o) = 0.
-2, -1, 0, 1/3, 28
Let z(f) be the second derivative of f**5/130 + f**4/13 - 9*f**3/13 - 553*f. Solve z(u) = 0 for u.
-9, 0, 3
Factor -68/7*y - 2/7*y**3 + 26/7*y**2 - 96/7.
-2*(y - 8)*(y - 6)*(y + 1)/7
Solve 30*a**4 + 5*a**3 + 973*a**2 + 34*a - 1058*a**2 + 2*a + 14*a = 0 for a.
-2, 0, 5/6, 1
Let k be ((-2)/(-4))/(1 - 27/30). Suppose -4*y - 344 = -k*y. Factor -4*n**2 - y*n + 169*n + 2*n**4 + 175*n + 2*n**3.
2*n**2*(n - 1)*(n + 2)
Let a be 3/5 - (-1672)/380. Suppose 4 = 2*y + 2*p, 0*y + y = -a*p + 2. Factor 18/7*n**y + 12/7*n**4 - 3/7*n + 0 - 27/7*n**3.
3*n*(n - 1)**2*(4*n - 1)/7
Let r be (((-969)/(-165))/(-17) + 6/11)*16. Let -2/5*m**3 - r - 12/5*m**2 + 6*m = 0. Calculate m.
-8, 1
Let p(w) be the first derivative of w**5/25 - w**4/4 - 2*w**3/5 - 321. Let p(q) = 0. Calculate q.
-1, 0, 6
Suppose 1286 = y - 5*u, 5*u - 5 = 4*u. Suppose 0 = y*l - 1315*l. Let l - 1/3*h + 1/3*h**2 = 0. Calculate h.
0, 1
Factor -875 - 32*p + 65*p**2 - 60*p**2 - 58*p.
5*(p - 25)*(p + 7)
Let h(s) be the third derivative of s**5/270 - 64*s**4/27 + 85*s**3/9 + s**2 - 145. Let h(z) = 0. Calculate z.
1, 255
Let q = -15 + 17. Suppose 4 = -2*b + q*j, 0 = 2*b + 3*b - 3*j + 2. Factor 0*t**b + 8*t**2 - 5*t**2 + 0*t**2 + 6*t.
3*t*(t + 2)
Factor -368*p**3 + 1476*p**2 + 24*p**4 + 208 - p**5 + 3*p**5 + 1354*p - 3676*p + 980.
2*(p - 3)**3*(p - 1)*(p + 22)
Let y be ((-16)/6)/(10/(-6)). Let x(k) be the first derivative of 4/3*k**3 - 1/3*k**2 + 0*k - 4/9*k**6 - 13/6*k**4 + y*k**5 + 17. Find i, given that x(i) = 0.
0, 1/2, 1
Let g(i) be the third derivative of -i**6/240 + 7*i**5/120 + 5*i**4/48 - 25*i**3/4 + 130*i**2. Find h such that g(h) = 0.
-3, 5
Suppose -q - j + 40 = 0, -5*q + 66 = 3*j - 138. Factor 3*h**2 - 7*h**2 - 2*h**3 - q*h + 42*h.
-2*h**2*(h + 2)
Let v(g) be the second derivative of -g**5/4 + 55*g**4/2 - 325*g**3/6 - 513*g. Factor v(o).
-5*o*(o - 65)*(o - 1)
Find j, given that -248/11*j - 2/11*j**2 - 246/11 = 0.
-123, -1
Let t(l) = -4*l + 108. Let y be t(0). Factor -y*m**4 - 477*m**3 - 348*m**3 + 224 + 285*m**3 + 1368*m**2 - 976*m.
-4*(m + 7)*(3*m - 2)**3
Let w(m) = -m**2 + 5*m. Let n be w(2). Let y be (-1)/(3 + (-21)/n). Find l, given that l**2 - 5*l**y - 440*l**3 + 408*l**3 - 55*l**4 = 0.
-2/5, -2/11, 0
Suppose 26*f = 5*l + 23*f - 5, 5 = -5*l + 5*f. Factor -4 - 72/5*v**2 + 64/5*v + 32/5*v**3 - 4/5*v**l.
-4*(v - 5)*(v - 1)**3/5
Let d be ((-890)/(-4))/(20/(-40)). Let v = 447 + d. Suppose 4/9*i**5 + 8/9*i - 4/3*i**3 + 8/9*i**v - 2/9*i**4 - 2/3 = 0. Calcu