*3 + 7*r**3 + 13*r**3. Let q(o) = o**5 - 6*o**4 + 31*o**3 + 54*o**2 + 8. Let b(t) = -4*l(t) + q(t). Find i, given that b(i) = 0.
-3, -2, 0, 3
Let g be 5 - (-5)/(-10) - 195/130. Let c(k) be the first derivative of 0*k + 2/3*k**g + 1/6*k**4 + 2/3*k**2 - 38. Find i such that c(i) = 0.
-2, -1, 0
Let d(i) = -4*i**2 - 36*i + 1945. Let j be d(18). Let -3/2*r - j + 1/2*r**4 + 1/2*r**2 + 3/2*r**3 = 0. Calculate r.
-2, -1, 1
Suppose 57/2 + 9/4*s**2 - 57/4*s**3 - 3/4*s**4 + 177/4*s = 0. What is s?
-19, -1, 2
Suppose -11 = -3*u + f, 2*f - 18 = 4*u - 6*u. Let r(d) be the first derivative of 0*d**2 + 30 + 0*d**3 - 3/8*d**4 + 0*d - 1/10*d**u. Solve r(w) = 0.
-3, 0
Suppose -4*p**4 - 180*p**2 - 171 + 72*p**3 + 374 - 203 = 0. What is p?
0, 3, 15
Let r(q) be the second derivative of 2*q**7/147 - 2*q**6/21 + 6*q**5/35 + 4*q**4/21 - 16*q**3/21 - 226*q + 4. Factor r(y).
4*y*(y - 2)**3*(y + 1)/7
Let s(o) = -79*o + 31*o + 40*o - 4. Let h be s(-1). Determine q so that -8*q**4 + 6*q**2 + 2 + 13*q**4 - 7*q**h - 2*q**3 + 2*q - 6 = 0.
-2, -1, 1
Let 2153*h + 1727*h**2 + 3749*h**2 + 9727*h + 2*h**4 + 220*h**3 + 1491*h**2 + 5832 - 701*h**2 = 0. Calculate h.
-54, -1
What is n in -68/3 + 80*n + 299/3*n**2 - 3*n**3 = 0?
-1, 2/9, 34
Let d = 9051669/17 + -532451. Factor -4/17*s**3 + 0 + 0*s - d*s**2 - 2/17*s**4.
-2*s**2*(s + 1)**2/17
Let q = -16464 - -32931/2. Suppose 3*m - 7 = 5. Factor 0*n**2 + n**3 + q*n**m + 1/2*n**5 + 0*n + 0.
n**3*(n + 1)*(n + 2)/2
Let w = 13/2643 - -23683/21144. Solve 0 + 1/4*m - w*m**2 = 0 for m.
0, 2/9
Let q(l) = -59*l**2 - 31151*l - 30357666. Let u(g) = -7*g**2 - 3894*g - 3794708. Let c(m) = -2*q(m) + 17*u(m). What is r in c(r) = 0?
-1948
Let y(n) = -2*n**2 - 210*n + 15. Let g(s) = -20 - 3 - 14 - 12 + 420*s + 24 + 5*s**2. Let i(h) = 3*g(h) + 5*y(h). Suppose i(l) = 0. Calculate l.
-42, 0
What is f in 4*f**2 - 12/5*f - 4/5*f**3 - 36/5 = 0?
-1, 3
Let b(c) = 3*c + 13. Let z be b(-3). Solve 521 + z*m - 521 + m**2 = 0.
-4, 0
Let o be 42/(-6) - 199/40*5. Let u = o + 33. Factor 15/8*i + 3/8 + u*i**3 + 21/8*i**2.
3*(i + 1)**2*(3*i + 1)/8
Factor 3/2 - 3/2*n**2 - 3/4*n + 3/4*n**3.
3*(n - 2)*(n - 1)*(n + 1)/4
Factor -5/6*i**3 + 446/3*i**2 + 7921/3 - 39961/6*i.
-(i - 89)**2*(5*i - 2)/6
Let y(k) = 5*k**5 - 231*k**4 - 753*k**3 - 263*k**2 + 742*k + 500. Let m(v) = 2*v**4 - 4*v**3 + v**2 + v. Let r(a) = -2*m(a) + y(a). Solve r(w) = 0 for w.
-2, -1, 1, 50
Let z be (-32 - 3/(-6)*2)/(-1). Suppose 32*w - 5 = z*w. Determine u, given that 4*u + 26*u**w - 4*u**3 - 22*u**5 - 4*u = 0.
-1, 0, 1
Suppose 8*t - 288 - 152 = 0. Determine j so that -140*j + t + 45*j**4 + 3*j**3 - 100*j**2 + 25 - 35*j**3 + 197*j**3 = 0.
-4, -1, 2/3
Suppose -f - 9 = -b - b, -5*f = -3*b + 31. Let w(u) = -u**3 - 14*u**2 + 37*u + 80. Let l be w(-16). Find a such that 4/3*a**b + 2/3*a + l = 0.
-1/2, 0
Let b(d) be the second derivative of 1/15*d**6 + 33*d + 1/3*d**3 + 1/2*d**4 + 0*d**2 + 3/10*d**5 - 2. Find l such that b(l) = 0.
-1, 0
Suppose 0*d - 5*d - l + 7 = 0, 0 = -d - 4*l + 9. Let m(s) = -3*s + 1. Let x(t) = -4*t**2 - 168*t + 24. Let i(y) = d*x(y) - 24*m(y). Factor i(j).
-4*j*(j + 24)
Let u(x) = 34755*x**2 + 912*x + 24. Let b(l) = 17383*l**2 + 456*l + 13. Let d(f) = -9*b(f) + 5*u(f). Find c, given that d(c) = 0.
-1/76
Let w(i) = -3*i**3 + i**2 - 3*i + 1. Let s(k) = -3*k**4 - 234*k**3 - 795*k**2 + 48*k + 1032. Let n(m) = s(m) + 12*w(m). Let n(f) = 0. What is f?
-87, -2, 1
Let s be 5/15*(14 - 5). Let r = -4 - -4. Factor -5/3*a**5 + 0 + r*a**4 + 0*a**2 + 10/3*a**s - 5/3*a.
-5*a*(a - 1)**2*(a + 1)**2/3
Let o(u) be the second derivative of -11/3*u**4 + 23/5*u**5 + 107*u + 26/7*u**7 - 4/3*u**3 + 142/15*u**6 + 0*u**2 + 0. Solve o(l) = 0.
-1, -2/13, 0, 1/3
Let x(t) be the first derivative of t**6/72 - 17*t**5/15 + 305*t**4/12 - 1055*t**3/18 - 407*t**2/8 + 363*t/2 + 110. Let x(l) = 0. Calculate l.
-1, 1, 2, 33
Let l(u) be the second derivative of 114*u + 1 - 19/3*u**3 + 0*u**2 - 1/6*u**4. Let l(b) = 0. What is b?
-19, 0
Let f(m) = m**3 - 89*m**2 - 281*m + 249. Let d(t) = -2*t**3 - t**2 + 2*t - 1. Let c(i) = 4*d(i) + f(i). Factor c(l).
-(l + 7)**2*(7*l - 5)
Let a(q) be the second derivative of -45*q - q**2 + 1/6*q**3 + 0 + 1/12*q**4. Factor a(n).
(n - 1)*(n + 2)
Factor 36*o**3 + 324*o + 320*o - 892*o**2 + 20*o + 192.
4*(o - 24)*(o - 1)*(9*o + 2)
Suppose -5*z - 12 = -i, -8 - 8 = -3*i + 5*z. Factor -91*a**4 + 53*a**4 - 4 + 4*a + 26*a**3 + 45*a**4 + 27*a**i.
(a + 1)**2*(a + 2)*(7*a - 2)
Let h(g) be the second derivative of -g**4/20 - 158*g**3 - 187230*g**2 - 5*g + 5. Find d such that h(d) = 0.
-790
Let j(k) be the third derivative of -k**5/390 - 449*k**4/78 - 23*k**3 + 3*k**2 + k - 188. Factor j(a).
-2*(a + 1)*(a + 897)/13
Let v be (3/3)/(-2) + (-25)/(-50). Let u(c) be the second derivative of 1/8*c**2 - 1/48*c**4 - 13*c + v*c**3 + 0. Determine t, given that u(t) = 0.
-1, 1
Determine n, given that 22*n - 32*n**2 + 35*n + 4*n**3 - 24 + 9*n - 14*n = 0.
1, 6
Let s(x) = x**3 + 186*x**2 + 165*x - 3696. Let b be s(-185). Find h, given that 2/5*h**3 + 0 + 1/5*h**b - 8/5*h - 4/5*h**2 = 0.
-2, 0, 2
Let g = 44767 + -134300/3. Let 1/3*v**3 + 0*v + 0 + 0*v**2 - g*v**4 = 0. Calculate v.
0, 1
Let d = 184 - 179. Let o(m) = 10*m**3 - 10*m**2 - 75*m + 55. Let h(f) = -15*f**3 + 16*f**2 + 113*f - 82. Let v(b) = d*h(b) + 8*o(b). Let v(k) = 0. Calculate k.
-3, 1, 2
Let p(x) be the first derivative of x**6/900 - 8*x**5/75 + 64*x**4/15 + 43*x**3/3 + 22. Let h(v) be the third derivative of p(v). Factor h(k).
2*(k - 16)**2/5
Suppose -2/3*r**4 - 2*r**3 + 26/3*r**2 + 10*r + 0 = 0. What is r?
-5, -1, 0, 3
Suppose 5*g + 92 = 7*g. Factor 2*a**3 + 33*a + 3*a - 18*a**2 - 74 + g - 26 + 18*a.
2*(a - 3)**3
Suppose 5*k + t = 11, k + 2*t = 6 - 2. Let h be 0/((6 - 6) + k). Factor h + 1/5*g**3 - 4/5*g**2 - 4/5*g + 1/5*g**4.
g*(g - 2)*(g + 1)*(g + 2)/5
Let c(g) be the second derivative of g**5/10 - 25*g**4/6 + 8*g**3 + 491*g. Suppose c(y) = 0. Calculate y.
0, 1, 24
Factor -113607*k**2 - 799 + 113616*k**2 + 175 + 1869*k.
3*(k + 208)*(3*k - 1)
Suppose 158/7*m**2 + 8/7 + 166/7*m = 0. What is m?
-1, -4/79
Suppose 1615*v - 1616*v + 0 = -2. Let q(m) be the first derivative of -3/2*m**v + m**3 + 21 - 18*m. Determine p so that q(p) = 0.
-2, 3
Let q(r) = -6*r**4 + 604*r**3 - 3060*r**2 + 1824*r + 5530. Let m(s) = s**4 + 5*s**3 - 4*s**2 - 1. Let x(l) = -4*m(l) - q(l). Factor x(f).
2*(f - 307)*(f - 3)**2*(f + 1)
Factor 1/3*a**4 + 20*a + 37/3*a**2 + 10/3*a**3 + 12.
(a + 2)**2*(a + 3)**2/3
Let d be 2*(3 + -4) - -1. Let r(s) = -6*s**3 - s**2 - s. Let f be r(d). Determine l so that -33 - 30*l + 18*l**2 + f - 21*l**2 = 0.
-9, -1
Solve -6*m**4 - 98*m**2 + 78*m**2 + 11*m**3 + 484*m**3 - 5820*m - 95*m**2 - 1440 - 14*m**4 = 0 for m.
-3, -1/4, 4, 24
Let x(n) be the first derivative of 4*n**3/9 + 940*n**2/3 + 1248*n + 1609. Factor x(i).
4*(i + 2)*(i + 468)/3
Factor 2*i**3 - 26*i - 5*i - 262*i + 106*i**2 + 456 - 6*i - 149*i.
2*(i - 2)**2*(i + 57)
Suppose 3*q + 4409 = l, -l = 4*q - 0*q + 5881. Let v be (27/6)/(-3)*280/q. Factor -2/7*r**3 + v*r**2 + 0 + 0*r.
-2*r**2*(r - 1)/7
Find z, given that 3/5*z**5 + 2344368/5 + 2349669/5*z**3 - 5307/5*z**4 - 2349672/5*z - 2339061/5*z**2 = 0.
-1, 1, 884
Let p = -117 - -119. Factor -2*n**4 - 119*n**5 + 120*n**5 - 2*n**3 - 8*n - p*n**4 + 12*n**2 + n**4.
n*(n - 2)**2*(n - 1)*(n + 2)
Let s(i) be the third derivative of i**7/2520 - i**6/72 - 11*i**5/120 - 5*i**4/24 + i**2 - 21*i. Let x(q) be the second derivative of s(q). Factor x(a).
(a - 11)*(a + 1)
Determine f, given that -1/12*f**2 - 9/4*f - 55/6 = 0.
-22, -5
Determine c, given that -49*c**3 - 3532*c - 55*c**3 - 3328*c - 67228 + 364*c**2 + 100*c**3 = 0.
-7, 49
Suppose 0 = 2*q - 2*r - 44, 5*q + 517*r - 510*r + 118 = 0. Factor -26/7*x**2 + 24/7*x - 8/7 + 12/7*x**q - 2/7*x**4.
-2*(x - 2)**2*(x - 1)**2/7
Let s(t) be the first derivative of t**4/10 + 2*t**3/15 - 132. Factor s(q).
2*q**2*(q + 1)/5
Find q such that 2*q**2 - 15 + 17*q - 3*q**2 - 1 - q**2 - 29*q = 0.
-4, -2
Let l(d) be the first derivative of 16/9*d - 7/18*d**4 - 90 + 4/3*d**2 - 4/27*d**3 + 0*d**5 + 1/27*d**6. Let l(q) = 0. Calculate q.
-2, -1, 2
Let w(y) be the second derivative of y**4/16 - 19*y**3/4 + 90*y**2 - 5461*y. Factor w(u).
3*(u - 30)*(u - 8)/4
Let s(h) be the first derivative of 1/4*h + 3/8*h**2 + 1/4*h**3 + 1/16*h**4 