nd derivative of -2*h**2 - 2 + h - 1/3*h**3 + 1/6*h**4. Suppose p(g) = 0. What is g?
-1, 2
Let q(l) be the first derivative of 3*l**4/28 - 6015*l**3/7 + 36180225*l**2/14 - 24180450375*l/7 - 9182. Factor q(i).
3*(i - 2005)**3/7
Let g(p) be the second derivative of -p**7/189 - 7*p**6/27 + 37*p**5/30 - 113*p**4/54 + 38*p**3/27 + 4*p - 11. Solve g(w) = 0.
-38, 0, 1
Let m(o) = 2*o**2 - 368*o + 4. Let w(p) = 13*p - 2. Let q(d) = -m(d) - 2*w(d). Factor q(b).
-2*b*(b - 171)
Suppose 130*v + 8476 = 134*v. Let d = v - 2117. Solve -22/19*p**d - 2/19*p**3 - 6/19 - 22/19*p + 4/19*p**4 = 0.
-1, -1/2, 3
Let w(x) be the first derivative of x**6/3 + 14*x**5/5 - 19*x**4/2 - 14*x**3/3 + 18*x**2 + 1254. Solve w(g) = 0.
-9, -1, 0, 1, 2
Suppose -33*s - 47*s**2 - 833*s**3 - 818*s**3 - 817*s**3 - s**4 + 2453*s**3 = 0. Calculate s.
-11, -3, -1, 0
Solve 145/6*r - 1/6*r**2 - 71 = 0 for r.
3, 142
Let o be -1 + 3*16/12. Suppose -24*a - 555*a + 9264 = 0. Determine p, given that 3*p**2 - 12*p - 1/4*p**o + a = 0.
4
Suppose 211*z = 422*z. Let t(x) be the first derivative of z*x**3 + 0*x**2 + 0*x - 23 + 1/30*x**4. Let t(k) = 0. Calculate k.
0
Let h(u) be the third derivative of 3*u**8/7 + 136*u**7/15 + 1841*u**6/30 + 358*u**5/3 + 106*u**4 + 48*u**3 + 2*u**2 - 2053. Determine s, given that h(s) = 0.
-6, -1/2, -2/9
Let d be (18/(-16))/((-15)/10). Let h be (2486/(-308) + 8/14)*4/(-6). Factor 0 + 0*y**2 + d*y**3 + 3/4*y**h + 0*y + 3/2*y**4.
3*y**3*(y + 1)**2/4
Let a(g) = g - 3. Let k be a(5). Suppose 3*v = 4*n + 23 - 54, 4*n + 4*v = 52. What is c in n*c - 4*c**2 - c**k + 75 - 60 = 0?
-1, 3
Suppose 14 = 2*j + 5*k, 4*j - 57*k = -52*k - 2. Let t(p) be the first derivative of -9/20*p**4 - 3/10*p**j + 11 + 0*p - 3/25*p**5 - 3/5*p**3. Factor t(q).
-3*q*(q + 1)**3/5
Solve -4*h**3 - 4*h**2 + 39 + 45 + 68*h - 16*h**2 = 0 for h.
-7, -1, 3
Let f(g) be the second derivative of -5*g**3 - 68*g + 0 + 12*g**2 - 3/4*g**4. Suppose f(t) = 0. Calculate t.
-4, 2/3
Factor 3*n**4 - 384*n + 668*n**2 + 619*n**2 - 1984*n**2 + 553*n**2.
3*n*(n - 8)*(n + 4)**2
Let a(h) = h**4 + 203*h**3 - 180*h**2 - 3*h - 3. Let v(k) = 12*k**4 + 2224*k**3 - 1980*k**2 - 32*k - 32. Let y(r) = -32*a(r) + 3*v(r). Factor y(c).
4*c**2*(c - 1)*(c + 45)
Let b(o) be the second derivative of -196/3*o**2 + 0 - 1/18*o**4 - 51*o - 28/9*o**3. Determine d, given that b(d) = 0.
-14
Let f(b) be the second derivative of 1/168*b**7 + 0*b**2 + 1/80*b**5 + 0*b**3 - 14*b - 7 + 0*b**4 + 1/60*b**6. Solve f(i) = 0 for i.
-1, 0
Find g such that 228/7*g**2 + 93/7*g**3 + 153/7*g - 54/7 + 12/7*g**4 = 0.
-3, -2, 1/4
Let a(o) = -2*o**2 - 18*o - 230. Let d(z) = -5*z - 1. Let b(y) = -a(y) - 10*d(y). Find l such that b(l) = 0.
-30, -4
Let s = -91 + 167. Suppose 34*k - 26 - s = 0. What is z in 1/6*z**2 + 1/6*z**k - 1/3*z + 0 = 0?
-2, 0, 1
Suppose 2*j + x = 26, 5*j = 16*x - 17*x + 59. Let v be ((-6)/32)/(j/(-44)). Factor v*k**2 - 3/2 + 3/4*k.
3*(k - 1)*(k + 2)/4
Let r(z) be the second derivative of -z**7/105 + 8*z**6/75 - 21*z**5/50 + 7*z**4/15 + 4*z**3/3 - 24*z**2/5 + 10085*z. Find k, given that r(k) = 0.
-1, 2, 3
Let z = 1318303/3 - 439434. Determine y, given that -56/3*y**2 + 109/3*y - 18 + z*y**3 = 0.
1, 54
Let w(u) be the first derivative of -4/5*u**5 + 528*u**2 + 24*u**4 - 484*u + 24 - 664/3*u**3. Factor w(a).
-4*(a - 11)**2*(a - 1)**2
Determine p, given that 2/7*p**2 - 16/7*p - 130/7 = 0.
-5, 13
Let v(y) be the first derivative of -5*y**6/6 - 2*y**5 + 45*y**4/2 + 40*y**3/3 - 205*y**2/2 - 150*y + 1194. Suppose v(n) = 0. What is n?
-5, -1, 2, 3
Suppose 5*i - 60*k = -59*k + 17, 10*k + 68 = -i. Suppose l**5 - 7/3*l + 8/3*l**4 - 2/3 - 2*l**i + 4/3*l**3 = 0. What is l?
-1, -2/3, 1
Let c(k) be the second derivative of -k**4/8 - 50*k**3 + 1232*k. Let c(h) = 0. Calculate h.
-200, 0
Let t = -10864 + 10866. Let f(x) be the third derivative of 0*x - 6*x**t - 20/3*x**3 + 0 + 7/6*x**4 - 1/15*x**5. Factor f(u).
-4*(u - 5)*(u - 2)
Factor 23*v**2 - 47 + 46 + 417*v - 91 + 639*v.
(v + 46)*(23*v - 2)
Let p(u) be the first derivative of -u**6/40 - 113*u**5/20 - 406*u**4 - 1568*u**3 + u**2/2 + 50*u + 107. Let x(m) be the second derivative of p(m). Factor x(f).
-3*(f + 1)*(f + 56)**2
Suppose -24 = 2*w - 10*w. Factor -j**3 - 6*j**3 + 20*j**2 + 4*j**3 + j**w.
-2*j**2*(j - 10)
Let g(o) be the third derivative of -1/42*o**7 + o**2 + 10/3*o**4 - 115*o - 1/6*o**6 + 10*o**3 + 0 + 1/12*o**5. Determine c, given that g(c) = 0.
-3, -2, -1, 2
Let f = -14309/8 - -71561/40. Suppose 16/5*y**3 + 2/5*y**4 - f*y**2 + 0 - 16/5*y = 0. Calculate y.
-8, -1, 0, 1
Let l = -117/1237 - -1588/3711. Factor 44/3*a + 1/3*a**3 + l*a**4 - 22/3*a**2 - 8.
(a - 2)**2*(a - 1)*(a + 6)/3
Let c be ((-116)/(-14))/((-44)/(-154)). Suppose -1350 = 4*a - c*a. Suppose -a - 2/3*s**2 + 12*s = 0. Calculate s.
9
Let f(x) = -712*x**3 + x**2 - 2. Let o be f(-1). Let p = 715 - o. Factor 0 - 8/19*l**2 - 2/19*l**5 + 6/19*l**3 + 4/19*l**p - 8/19*l.
-2*l*(l - 2)**2*(l + 1)**2/19
Let l(v) = -v + 8. Let d be l(5). Suppose 3*x = d*c, 2 = 2*x - 5*c + 4*c. What is m in -m**x - 4*m**2 - 12*m + m**2 = 0?
-3, 0
Let a(w) be the first derivative of -w**5/20 - 13*w**4/16 + 15*w**3/4 - 47*w**2/8 + 4*w + 521. Determine g so that a(g) = 0.
-16, 1
Let v(r) be the first derivative of 5/2*r**2 - 14*r + 125 + 1/3*r**3. Solve v(g) = 0 for g.
-7, 2
Suppose 174 - 132 = -2*p. Let c(m) = 17*m + 21 + 4*m + 8*m**2 - 2*m**2. Let a(h) = h**2 + 4*h + 4. Let l(s) = p*a(s) + 4*c(s). Determine z, given that l(z) = 0.
0
Let d(i) be the first derivative of i**9/1512 - i**8/840 + i**3/3 + 7*i + 68. Let k(w) be the third derivative of d(w). Factor k(z).
2*z**4*(z - 1)
Suppose -3*l + 36 + 48 = 0. Factor 22 + 10*f - 2*f**3 + 0*f**2 - 2*f**2 - l.
-2*(f - 1)**2*(f + 3)
Let l(t) be the first derivative of t**3/6 - 79*t**2/2 + 2913. Factor l(k).
k*(k - 158)/2
Find z such that -2/13*z**5 + 252/13*z - 80/13 - 274/13*z**2 + 110/13*z**3 - 6/13*z**4 = 0.
-10, 1, 4
Let i(p) be the third derivative of -p**5/140 + 135*p**4/28 - 18225*p**3/14 + 1093*p**2. Factor i(d).
-3*(d - 135)**2/7
Let l be ((-276)/(-105) - 1) + (-16)/(-28) - 2. Let b(d) be the second derivative of -l*d**5 + 2/15*d**6 + 0*d**3 + 15*d + 0*d**4 + 0 + 0*d**2. Factor b(g).
4*g**3*(g - 1)
Let n = 1112 - 1104. Let r(a) = -a**3 + 10*a**2 - 11*a - 40. Let z be r(n). Let -1/9*o**4 + 1/9*o**2 + 1/9*o**3 + z - 1/9*o = 0. Calculate o.
-1, 0, 1
Let m be 9*(-3 + (-20)/(-6)). Let b = 37 - 34. Let m*s**2 - 5 - 4 - s + b + 4*s = 0. What is s?
-2, 1
Let y(q) = -3*q**2 - 13*q + 46. Let t be y(16). Let g = 2792/3 + t. Factor g*o + 2/9*o**2 + 4/9.
2*(o + 1)*(o + 2)/9
Let q be (1 + 5)*(-120)/144*6/(-60). Determine l, given that -441/2 - q*l**2 + 21*l = 0.
21
Let a = 32 - 29. Let q(z) be the first derivative of 384*z**3 - 6 + 10*z**2 - 5*z - a - 394*z**3 + 5*z**4 - z**5. Solve q(v) = 0.
1
Let b(v) be the third derivative of -v**6/1080 + v**5/72 - v**4/18 - 38*v**3/3 + 3*v**2 + 8. Let i(a) be the first derivative of b(a). Factor i(o).
-(o - 4)*(o - 1)/3
Let u(i) be the first derivative of -2*i**5/45 + 13*i**4/18 + 4*i**3/3 - 52*i**2/9 - 112*i/9 + 22. What is o in u(o) = 0?
-2, -1, 2, 14
Let t be ((-105)/10)/((-9)/6*1/2). Let l(g) be the third derivative of 4/9*g**3 + 17/90*g**5 - t*g**2 + 0 + 1/45*g**6 + 0*g + 5/9*g**4. Factor l(z).
2*(z + 2)**2*(4*z + 1)/3
Let v be 2*(-5)/100*5/(-3). Let r(z) be the first derivative of v*z**6 + 0*z**2 - 1/3*z**5 + 0*z**3 + 0*z - 1/6*z**4 + 15. Factor r(d).
d**3*(d - 2)*(3*d + 1)/3
Suppose -87*l**4 + 80*l**2 + 32*l**4 + 24*l**4 - 2*l**3 + 27*l**4 + 6*l**3 = 0. What is l?
-4, 0, 5
Let c(o) be the second derivative of o**5/20 + 17*o**4/3 + 197*o**3/6 + 65*o**2 + 234*o - 8. Factor c(g).
(g + 1)*(g + 2)*(g + 65)
Let i be (75068/72)/7 - 5. Let o = -287/2 + i. Suppose 4/3 - 20/9*x + o*x**2 + 4/9*x**3 = 0. What is x?
-3, 1
Let f(c) be the first derivative of -7*c**4/6 - 22*c**3/9 - 4*c**2/3 - 1725. Find v, given that f(v) = 0.
-1, -4/7, 0
Let h(t) be the first derivative of -343*t**6/6 - 1862*t**5/5 - 1407*t**4/2 - 988*t**3/3 - 131*t**2/2 - 6*t + 745. Factor h(l).
-(l + 2)*(l + 3)*(7*l + 1)**3
Let p(y) = 6*y**2 + 8*y + 22. Suppose -2*r + 1 = -1. Let q(m) = -3*m + 3*m - m + 1 + m**2. Let f(i) = r*p(i) - 4*q(i). Factor f(t).
2*(t + 3)**2
Factor -19*y**2 - 1/4*y**3 + 77/4*y + 0.
-y*(y - 1)*(y + 77)/4
Supp