tor -25/2 - 5/4*v**3 + j*v + 25/2*v**2.
-5*(v - 10)*(v - 1)*(v + 1)/4
Let q be 7/28 - -1*3142/12456. Let x = q + -10/173. Let -10/9*a - 2/9*a**3 + x + 8/9*a**2 = 0. What is a?
1, 2
Let g(f) be the first derivative of -31 + 0*f + 1/24*f**4 - 5/18*f**3 + 0*f**2. Factor g(l).
l**2*(l - 5)/6
Let f(u) be the first derivative of u**6/24 - 6*u**5/5 + 45*u**4/16 + 225*u**3/2 + 1011. Factor f(a).
a**2*(a - 15)**2*(a + 6)/4
Let b = -23/48 + 3233/336. Let g = -1790 + 1793. Factor 2/7*n**g - 20/7*n**2 - b + 64/7*n.
2*(n - 4)**2*(n - 2)/7
Suppose -5*r + 41 = -19. Let o be 1862/r - 17/102. Factor -o + 163 - 5*h - 7*h + 4*h**3.
4*(h - 1)**2*(h + 2)
What is m in -2*m**2 + 197 + 3486*m + 272 - 3856*m + 114 + 165 = 0?
-187, 2
Let x = 17 + -14. Let a(g) = -g**5 - 8*g**4 - 3*g**3 - 2*g**2 + 2*g + 4. Let q(y) = 9*y**4 + 3*y**3 + 3*y**2 - 3*y - 6. Let f(r) = x*a(r) + 2*q(r). Factor f(d).
-3*d**3*(d + 1)**2
Let d be (64/(-6))/((-6)/(-207)). Let s = 369 + d. Factor -1/2*l + 1/2*l**2 - s.
(l - 2)*(l + 1)/2
Let k(p) be the first derivative of -p**3/5 - 1191*p**2/5 - 472827*p/5 + 1134. Let k(v) = 0. What is v?
-397
Let t(k) be the second derivative of 4 - 1/18*k**4 + 19*k + 2/9*k**3 + 8/3*k**2. Solve t(g) = 0.
-2, 4
Let y(x) be the first derivative of x**6/36 - 7*x**5/30 + 3*x**4/4 - 11*x**3/9 + 13*x**2/12 - x/2 + 2396. Solve y(w) = 0 for w.
1, 3
Let c be (-989)/(-345) + 4/30. Let l(s) = -s**2 + 9*s - 6. Let v be l(8). What is k in -4 + 3*k**4 - k**v + 7*k**c - 8*k - 46*k**5 + 2*k**4 + 47*k**5 = 0?
-2, -1, 1
Factor 1/4*n**2 + 2692881/4 + 1641/2*n.
(n + 1641)**2/4
Let r(w) be the second derivative of -w**5/20 + 7*w**4/4 - 19*w**3/3 + 2832*w. Factor r(i).
-i*(i - 19)*(i - 2)
Let v(w) be the third derivative of -w**8/60480 - w**7/5040 + w**6/216 + 4*w**5/3 + 194*w**2. Let d(l) be the third derivative of v(l). What is k in d(k) = 0?
-5, 2
Let o = 38618 - 38618. Suppose -1/4*p**3 + o*p**2 + 1/2 + 3/4*p = 0. Calculate p.
-1, 2
Suppose -5*c + 20 = 5*l, -c - l = 4*l. Determine v, given that 11*v**2 - 36*v - 31*v**2 + 820*v**5 - 821*v**c + 10 + 6*v**4 + 22 + 19*v**3 = 0.
-2, 1, 8
Let o(q) be the second derivative of -7*q**4/138 - 562*q**3/69 - 160*q**2/23 + 5*q - 37. Let o(i) = 0. What is i?
-80, -2/7
Let l(k) be the third derivative of -k**6/300 + 2*k**5/75 + 8*k**4/15 - 493*k**2. Let l(g) = 0. What is g?
-4, 0, 8
Let p = -37 - -40. Let y(w) = -w**2 - 2*w + 6. Let l(t) = -t**2 - t + 6. Let m(x) = p*l(x) - 2*y(x). Solve m(s) = 0 for s.
-2, 3
Let b(u) = 227*u - 7037. Let h be b(31). Let i(w) be the third derivative of 0*w**3 + 0*w + h*w**4 - 1/180*w**6 + 0 - 1/90*w**7 + 0*w**5 - 5*w**2. Factor i(z).
-z**3*(7*z + 2)/3
Determine x so that 5*x**3 - 8820 + 4322*x + 3082*x + 996*x + 415*x**2 = 0.
-42, 1
Let b(j) = j**3 - 11*j**2 + 38*j - 37. Let q be b(5). Let x(k) be the first derivative of -9 + 0*k - 1/2*k**q + 3/4*k**2. Find y, given that x(y) = 0.
0, 1
Let d(m) be the first derivative of -10/3*m**3 + 10 - 5/12*m**4 + 23*m - 10*m**2. Let i(q) be the first derivative of d(q). Factor i(a).
-5*(a + 2)**2
Let o(g) = 17*g + 103. Let k be o(-6). Let j be (k - (-17)/(-15)) + (-517)/(-165). Find r such that j*r**2 - 14/3*r**3 + 2/3 - 8/3*r**4 + 11/3*r = 0.
-2, -1/2, -1/4, 1
Let q(k) be the second derivative of k**6/480 - 7*k**5/240 - k**4/12 + 50*k**2 + 80*k. Let h(n) be the first derivative of q(n). Determine b so that h(b) = 0.
-1, 0, 8
Suppose -45 - 40 = -17*m. Let k be m + -4*12/16. Let 0 - 2/5*h + h**k - 1/5*h**3 + 3/5*h**5 - h**4 = 0. What is h?
-1, 0, 2/3, 1
Suppose 0 = 2*r + 3 - 11. Suppose 9 + 39 = r*m. Let -7*g**3 + 22*g + 2*g - 11*g**2 + 10*g**3 - m - 4*g**2 = 0. Calculate g.
1, 2
Let f(a) = 2*a - 25. Let j be f(15). Suppose 1290 - 240 = j*b. Solve -43 - 25*d**3 - b*d**2 + 120*d**3 - 15*d**4 + 3 + 180*d = 0.
1/3, 2
Suppose 12 - 12 = -6*t. Suppose t = -6*g - 444 + 468. Find s such that -3/8*s**2 + 3/8*s + 3/8*s**g - 3/8*s**3 + 0 = 0.
-1, 0, 1
Let r(b) be the second derivative of b**5/10 - 5*b**4/6 - 3*b**3 + 45*b**2 + 7313*b. What is h in r(h) = 0?
-3, 3, 5
Let g(i) be the third derivative of i**8/2240 + i**7/120 - 3*i**6/40 - 5*i**4/12 + i**3/6 - i**2 - 25. Let v(c) be the second derivative of g(c). Factor v(l).
3*l*(l - 2)*(l + 9)
Let w(y) be the third derivative of 0 + 7/192*y**4 - 1/2688*y**8 + 0*y - 1/840*y**7 + 1/24*y**3 + 1/480*y**6 + 1/60*y**5 - 65*y**2. Factor w(c).
-(c - 2)*(c + 1)**4/8
Let w(m) be the second derivative of -27*m + 1/10*m**5 + 0*m**2 + 4/3*m**3 + 2 - 1/42*m**7 + m**4 - 1/10*m**6. Let w(b) = 0. Calculate b.
-2, -1, 0, 2
Let w be 7/(-14) + (-1)/(-5) + 531/270. Let s(p) be the first derivative of -w*p**3 + 10*p - 5/2*p**2 + 36. Suppose s(c) = 0. What is c?
-2, 1
Let p(t) be the third derivative of -t**6/120 - 3*t**5/4 + 2*t**4 + 46*t**3/3 + 3656*t**2. Find o such that p(o) = 0.
-46, -1, 2
Let i(o) be the second derivative of -o**4/36 - o**3/18 + 15*o**2 - 1192*o - 1. Find u, given that i(u) = 0.
-10, 9
Suppose v - 12 = -v. Suppose -12 = -v*m + 6. Factor -23*r**2 - 5*r**3 - 5*r + 13*r**2 + 0*r**m.
-5*r*(r + 1)**2
What is c in 12*c**2 - 3*c**2 - 18*c + 7*c**2 + c**3 - 5*c**3 + 2*c = 0?
0, 2
Solve 10/7*p**2 - 1/7*p**4 + 495/7 + 276/7*p - 12/7*p**3 = 0 for p.
-11, -3, 5
Let q(p) = -p**3 + 2*p**2 + 2. Let w(y) = -56*y**3 + 144*y**2 - 338*y + 424. Let o(u) = -116*q(u) + 2*w(u). Find f, given that o(f) = 0.
-22, 1, 7
Let y(o) be the third derivative of 0*o**3 + 1/330*o**5 + 19*o**2 + 0 + 0*o**4 + 0*o. Let y(n) = 0. Calculate n.
0
Let q(u) = 3*u**2 - 135*u + 1200. Let x be (-4)/3*-3 + 11. Let r(b) = b. Let y(w) = x*r(w) + q(w). Suppose y(m) = 0. What is m?
20
Suppose 4*w + 30 = 6*w + 5*u, -3*u = 4*w - 32. Factor w*y**2 + 21928*y - 21928*y.
5*y**2
Let x(c) be the third derivative of -c**7/1470 - c**6/315 - c**5/210 - 70*c**3/3 + 118*c**2. Let o(s) be the first derivative of x(s). Factor o(i).
-4*i*(i + 1)**2/7
Suppose -4*p + 3*p = -2*a + 11, -p - 5 = 0. Let g be ((-21)/3 + -5 - (-83)/6) + 1/6. Factor -15*s - a*s**g - 1/5*s**3 - 25.
-(s + 5)**3/5
Let i = 15890 + -79412/5. Suppose -5*x + 27 = 17. Factor -2/5 + 63/5*z**3 - 23/5*z - i*z**x.
(z - 1)*(7*z + 2)*(9*z + 1)/5
Let i(p) be the first derivative of -p**6/90 + p**5/15 + p**4/9 - 8*p**3/9 - 86*p - 46. Let z(m) be the first derivative of i(m). Factor z(a).
-a*(a - 4)*(a - 2)*(a + 2)/3
Let u(d) be the second derivative of -2/3*d**4 + 0 + 26/3*d**3 - 12*d**2 + 16/15*d**6 - 63*d - 12/5*d**5 - 2/21*d**7. Factor u(a).
-4*(a - 6)*(a - 1)**3*(a + 1)
Let g be (-11100)/45900 - 12/(-34). Factor -2/3 - g*l**2 - 5/9*l.
-(l + 2)*(l + 3)/9
Suppose -2*y = -5*p + 19, y - p - 4*p = -22. Suppose -10*h**5 + 245*h**2 + 6*h**3 + 72*h**4 - 205*h**3 - 221*h**y - 207*h**4 = 0. Calculate h.
-7, 0, 1/2
Let r(w) be the third derivative of 0 + 1/420*w**7 + 0*w - 1/16*w**4 + 0*w**3 + 28*w**2 + 7/120*w**5 - 1/48*w**6. Factor r(s).
s*(s - 3)*(s - 1)**2/2
Determine p, given that 17/4*p**3 + 1/4*p**4 + 360 - 7/2*p**2 - 192*p = 0.
-12, 2, 5
Let p(c) be the third derivative of -c**7/4200 + c**6/600 + c**5/600 - c**4/40 - 23*c**3 - 81*c**2. Let r(l) be the first derivative of p(l). Factor r(g).
-(g - 3)*(g - 1)*(g + 1)/5
Suppose 19*p + 337 - 375 = 0. Let m(j) be the first derivative of -7/8*j**4 - 2*j - 2*j**p - 8 + 19/6*j**3. Let m(o) = 0. Calculate o.
-2/7, 1, 2
Let r(t) = 6*t**5 - 10*t**4 - 6*t**3 + 122*t**2 + 120*t - 192. Let h(j) = j**5 + j**4 + 2*j**3 + 1. Let g(o) = 8*h(o) - r(o). Determine q so that g(q) = 0.
-5, -2, 1, 2
Factor -45/2*v**2 - 3*v**3 + 21*v + 72.
-3*(v - 2)*(v + 8)*(2*v + 3)/2
Suppose 51694*a = 51661*a + 66. Let w(b) be the first derivative of -5 - 2/33*b**3 + 0*b - 10/11*b**a. Determine z, given that w(z) = 0.
-10, 0
Let h = 733353/5 + -146653. Let -136/5*u + h + 6/5*u**2 = 0. Calculate u.
2/3, 22
Let g = -505 - -507. Factor -8*t**4 - 32*t**3 + 5 + 0 + 72*t**g - 5 - 44*t + 4*t**5 + 8*t.
4*t*(t - 3)*(t - 1)**2*(t + 3)
Factor k**2 - 36839*k + 32000 + 36039*k + 4*k**2.
5*(k - 80)**2
Let v(k) be the second derivative of k**5/5 + 22*k**4 - 184*k**3 + 560*k**2 + 1494*k. Determine q so that v(q) = 0.
-70, 2
Determine d so that -12459/5*d**3 - 2881494/5 - 4301457/5*d**2 - 9/5*d**4 + 7195419/5*d = 0.
-693, 2/3, 1
Let x(d) be the third derivative of 6/5*d**7 + 1/3*d**4 + 16*d**2 - 1/3*d**5 - 4/5*d**6 + 0*d + 0*d**3 + 0. Factor x(l).