22/9*v = 0?
-3, -2/3
Let a be ((-663)/18)/17 + 5/30. Let f be 16/(9 + -5)*a/(-20). Suppose -9/5*h**2 + 0 + 3/5*h**5 + 1/5*h**4 - f*h - 9/5*h**3 = 0. Calculate h.
-1, -1/3, 0, 2
Let h(v) be the first derivative of v**4/34 + 16*v**3/51 - 15*v**2/17 - 108*v/17 + 1181. Factor h(f).
2*(f - 3)*(f + 2)*(f + 9)/17
What is m in -4*m - 1/2*m**2 + 65/2 = 0?
-13, 5
Let s be 27/15 + 5/25. Determine d so that 3*d**5 + 13*d**2 - d - 3*d**4 - 3 + 0*d - 4*d**2 - 6*d**3 - 3*d**s + 4*d = 0.
-1, 1
Let c(y) = 4*y + 51. Let s be c(-12). Let n = 5 + -3. Factor 0*l - 2*l**s + 14*l - 2 - 4*l**n - 6.
-2*(l - 1)**2*(l + 4)
Let f(k) be the first derivative of -k**5/4 - 5*k**4/3 + 5*k**3/2 + 45*k**2 + 78*k + 25. Let c(m) be the first derivative of f(m). Factor c(d).
-5*(d - 2)*(d + 3)**2
Suppose 12*b + 3*b = -0*b + 90. Let h(s) be the first derivative of -8/9*s - 3*s**b - 355/18*s**4 - 23 - 16/3*s**2 - 62/5*s**5 - 134/9*s**3. Factor h(c).
-2*(c + 1)**3*(9*c + 2)**2/9
Let d(w) = -4*w**2 - 67*w + 66. Let h be (-11)/2 + 4 + 7/(-2). Let q(o) = 15*o**2 + 234*o - 231. Let v(z) = h*q(z) - 18*d(z). Factor v(k).
-3*(k - 11)*(k - 1)
Suppose -6/5*c**3 - 24/5*c - 28/5*c**2 + 3/5*c**4 + 0 + 1/5*c**5 = 0. Calculate c.
-2, 0, 3
Let -146/11*a**2 + 72/11*a**3 + 1/11*a**4 - 4/11*a**5 + 92/11*a - 15/11 = 0. Calculate a.
-5, 1/4, 1, 3
Let g(v) be the first derivative of -5*v**3/3 + 1015*v**2/2 + 2050*v + 11152. Determine j so that g(j) = 0.
-2, 205
Let h(u) = 11*u - 242. Let r be h(23). Let d(n) be the second derivative of 0*n**3 - r*n + 0*n**2 + 0 + 1/54*n**4 - 1/135*n**6 + 0*n**5. Factor d(f).
-2*f**2*(f - 1)*(f + 1)/9
Let i(l) = l**3 + 39*l**2 + 249*l - 283. Let g(r) = -r**2 + r - 1. Let b be 14/2 - (9 + -8). Let u(c) = b*g(c) + i(c). Factor u(k).
(k - 1)*(k + 17)**2
Let c(q) be the second derivative of -2*q**6/15 + 23*q**5/5 + 76*q**4/3 + 104*q**3/3 - 12*q + 23. Solve c(r) = 0.
-2, -1, 0, 26
Factor -3640633722/7 - 8930396/7*g**3 - 3622750956/7*g**2 - 1046*g**4 - 2/7*g**5 + 7272322398/7*g.
-2*(g - 1)**2*(g + 1221)**3/7
Let w(k) = k**3 - 12*k**2 - 189*k + 40. Let s be w(21). Let c be 470/s - (-33)/(-3). Factor 1/4*v**5 + v**4 - v**2 + 0 - v + c*v**3.
v*(v - 1)*(v + 1)*(v + 2)**2/4
Let u(y) be the second derivative of -1/25*y**5 + 1/5*y**2 - 1/75*y**6 + 2*y + 2/15*y**3 - 17 + 0*y**4. Suppose u(v) = 0. Calculate v.
-1, 1
Suppose 10*f - 4*z + 30 = 15*f, 2*f + 2*z - 14 = 0. Factor -4 - 29*n + 18 - 3*n**f + 2*n + 16.
-3*(n - 1)*(n + 10)
Suppose n = k + 232 + 37, -n = 2*k - 263. Let s = -265 + n. Factor 15/7*a**s + 1/7*a**4 + 4/7 - a**3 - 13/7*a.
(a - 4)*(a - 1)**3/7
Let m(b) be the second derivative of -208/21*b**3 - 17/70*b**5 + 128/7*b**2 + 1/105*b**6 - 25*b + 0 + 16/7*b**4. Factor m(c).
2*(c - 8)*(c - 4)**2*(c - 1)/7
Let u(f) be the first derivative of f**3/27 + 2*f**2 + 155*f/9 + 7121. Factor u(k).
(k + 5)*(k + 31)/9
Let b = -3451 - -3455. Let g(o) be the third derivative of 1/36*o**b + 5*o**2 + 0 + 1/180*o**5 + 1/18*o**3 + 0*o. Find t, given that g(t) = 0.
-1
Let v(a) = -4*a - 6*a**4 + 32*a**3 - 2*a**2 - 2*a + 0 + 8 - 10*a. Let x(z) = -4*z**4 + 21*z**3 - z**2 - 11*z + 5. Let c(b) = -5*v(b) + 8*x(b). Factor c(l).
-2*l*(l - 4)*(l - 1)*(l + 1)
Let f(c) be the first derivative of c**8/784 - 2*c**7/245 + c**6/56 - c**5/70 - 6*c**2 - 129. Let l(v) be the second derivative of f(v). Factor l(d).
3*d**2*(d - 2)*(d - 1)**2/7
Let x(n) be the third derivative of n**6/80 + 1247*n**5/80 + 12129*n**4/2 - 12168*n**3 - 479*n**2. Factor x(g).
3*(g + 312)**2*(2*g - 1)/4
Find s, given that 131 - 2*s**5 + 6*s**4 - 20157*s + 58 + 0*s**5 + 20841*s + 35 + 706*s**2 + 254*s**3 = 0.
-8, -1, 14
Let x(c) be the first derivative of -2*c**3/3 - c**2/2 + c + 69. Let y(b) = -5*b**2 + 31*b + 292. Let w(u) = -15*x(u) + 5*y(u). Factor w(f).
5*(f + 17)**2
Let c(o) be the first derivative of -68*o**5/25 - 71*o**4/5 - 388*o**3/15 - 98*o**2/5 - 24*o/5 + 1574. Solve c(w) = 0 for w.
-2, -1, -3/17
Factor 224/3*t**2 - 2/3*t**4 + 36*t**3 + 0 + 0*t.
-2*t**2*(t - 56)*(t + 2)/3
Let m(l) = 2*l**4 + l**3 + l**2 - 3*l. Let p(y) = -12*y**4 + 97*y**3 + 247*y**2 - 23*y. Let a(w) = 22*m(w) + 2*p(w). Factor a(q).
4*q*(q + 4)*(q + 7)*(5*q - 1)
Let m(g) = -g**2 - 104*g - 2172. Let i be m(-29). Suppose 4/7*w**i + 260/7*w + 400/7 + 8*w**2 = 0. Calculate w.
-5, -4
Suppose 0 = 3*m - 80*k + 85*k - 5, -4*m + 4*k - 4 = 0. Suppose m = -1158*j + 1157*j + 2. Determine h, given that 8/3*h**2 - 1/3*h**4 - 2*h**3 + j*h - 7/3 = 0.
-7, -1, 1
Solve 140*f**2 - 424/3*f + 142/3 - 136/3*f**3 - 2/3*f**4 = 0.
-71, 1
Let a(d) be the third derivative of 0*d + 9/4*d**3 - 1/10*d**6 + 0 + 1/140*d**7 - 89*d**2 - 1/4*d**5 + 1/2*d**4. Suppose a(f) = 0. Calculate f.
-1, 1, 9
Suppose 2*x - 672*s + 667*s + 50 = 0, -4*x - 10 = -s. Determine w, given that -20/3*w + 8*w**3 + 16/3*w**4 - 4/3*w**5 + x - 16/3*w**2 = 0.
-1, 0, 1, 5
Let m = -4533/7 + 4535/7. Factor -m*o**2 + 4 - 26/7*o.
-2*(o - 1)*(o + 14)/7
Solve 10*a + a**2 - 10*a**2 - a**2 - 445*a + 470 - 500*a = 0 for a.
-94, 1/2
Determine k so that -5880*k**3 + 3794*k + 5885*k**3 - 12421 + 1246*k + 340*k**2 - 13499 = 0.
-36, 4
Let a(n) = -5*n**2 + 95. Let l(c) = -c - 2. Let x(i) = -a(i) - 30*l(i). Find q such that x(q) = 0.
-7, 1
Suppose 4*o - 1 = -q, 1 + 2 = -3*o + 3*q. Suppose 6*w + 42 - 60 = o. What is i in 10*i**3 - 21*i**3 + 7*i**w + 8*i**3 = 0?
0
Let q = -403 + 343. Let y be (6/14)/((-90)/q). Factor 0 + 4/7*d - y*d**2.
-2*d*(d - 2)/7
Factor 2*c**2 - 200*c - 2*c**2 + 10*c**2 - 165 - 6*c**2 + 549.
4*(c - 48)*(c - 2)
Let u = 24301/2 + -12143. Let h = 367/284 + -3/71. Factor -u*z - 45/4 - h*z**2.
-5*(z + 3)**2/4
Suppose 34 - 186 = -38*f. Let z(s) be the third derivative of 0*s - 1/15*s**5 - 1/2*s**3 + 7/24*s**f + 22*s**2 + 0. Solve z(r) = 0 for r.
3/4, 1
Let o(g) = g**2 + 203*g - 48. Let y be 2*(-5 + 1)*4/8. Let p(w) = 101*w - 24. Let d(j) = y*o(j) + 9*p(j). Determine u so that d(u) = 0.
1/4, 24
Let k(q) be the third derivative of 13*q**2 - 1/360*q**6 + 0*q - 4/9*q**3 + 1/30*q**5 + 2 + 1/18*q**4 - 1/630*q**7. Factor k(a).
-(a - 2)*(a - 1)*(a + 2)**2/3
Let j be -7 + 6 - (-3 + 397). Let q be 237/j + 6/10. Solve 0*s**2 + q*s**3 + 0*s + 2/3*s**4 + 0 - 2/9*s**5 = 0 for s.
0, 3
Let j(y) be the first derivative of -y**7/315 - y**6/36 - 2*y**5/45 - 19*y**2 + 13. Let h(r) be the second derivative of j(r). Determine d, given that h(d) = 0.
-4, -1, 0
Let o be (250 + -4)*((-9)/2 + 5). Let p = 127 - o. Let 1/8*i**p + 12*i**2 - 32*i + 32 - 2*i**3 = 0. What is i?
4
Suppose z - 3*q - 12 - 9 = 0, 3*q + 69 = 3*z. Let y(w) be the second derivative of -2/15*w**3 + 0 - z*w - 3/5*w**2 + 1/30*w**4. Factor y(u).
2*(u - 3)*(u + 1)/5
Let i(p) be the first derivative of -p**4/42 + 25*p**3/21 + 26*p**2/7 + 114*p + 72. Let d(o) be the first derivative of i(o). Suppose d(r) = 0. Calculate r.
-1, 26
Let b be (40/75)/((-44)/(-275)). Suppose -4*s - 8 = -3*c, 2*s - 3 = -1. What is u in 0 + 2/3*u**3 - c*u - b*u**2 = 0?
-1, 0, 6
Let v(k) be the first derivative of -k**5/5 - 15*k**4 + 4*k**3/3 + 120*k**2 - 1851. Factor v(z).
-z*(z - 2)*(z + 2)*(z + 60)
What is z in -46*z**2 + 8 - 55*z**2 - 111 + 210*z - 4*z**3 + 3*z**3 - 5*z = 0?
-103, 1
Let r(o) be the first derivative of -o**3/9 + 53*o**2/6 - 94*o - 2072. Determine c so that r(c) = 0.
6, 47
Suppose 151 = p + p + 3*o, 74 = p + 2*o. Let n be 4 - 1 - 10*24/p. Let 0 - 3/2*i**3 + 1/2*i**2 + n*i = 0. What is i?
0, 1/3
Find n, given that 5*n**3 + 1338074*n - 1338078*n - 4*n**3 - 2*n**4 + 6*n**2 - n**3 = 0.
-2, 0, 1
Let q(z) = 5*z**2 + 35*z + 30. Suppose 7*d + 53 = -122. Let j(h) = -60*h**2 - 420*h - 360. Let g(t) = d*q(t) - 2*j(t). Factor g(o).
-5*(o + 1)*(o + 6)
Let z(f) = -2*f**3 + 1038*f**2 - 1048*f - 12. Let a(h) = h**3 - 415*h**2 + 419*h + 5. Let w(d) = -12*a(d) - 5*z(d). Suppose w(i) = 0. Calculate i.
-106, 0, 1
Let s(u) be the second derivative of u**7/294 - 17*u**6/210 - 9*u**5/14 + 725*u**4/21 - 6500*u**3/21 + 3527*u. Suppose s(b) = 0. Calculate b.
-13, 0, 10
Determine d, given that -99/8 - 807/8*d**4 + 1185/8*d - 1467/4*d**2 - 27/8*d**5 + 1341/4*d**3 = 0.
-33, 1/9, 1
Determine h so that 56*h + 0 - 59/3*h**3 - 166/3*h**2 + 5/3*h**4 = 0.
-3, 0, 4/5, 14
Let u(s) be the second derivative of 3*s - 1/12*s**4 - 11/6*s**3 + 6 - 12*s**2. Factor u(l).
-(l + 3)*(l + 8)
Let x be (0/2)/(-1)*(-6)/12. Suppose w - 40 + 37