*n - 8/3*a**4 + 0 + 16*a**3.
a**3*(a - 12)**2/9
Let h(i) be the first derivative of 2*i**3/3 + 207*i**2 + 1624*i + 2021. What is l in h(l) = 0?
-203, -4
Let s be ((-8)/(-10))/((-8)/(-60)). Find w such that 5*w**2 - 123*w - s*w**2 + 83*w = 0.
-40, 0
Suppose 13502 = 3*l + 5*s, 3*s = -0*l + 3*l - 13470. Factor l*y - 2391*y + 4*y**2 - 1551*y + 19044.
4*(y + 69)**2
Let d(n) be the third derivative of 7/20*n**6 + 0*n**3 + 0*n - 16*n**4 - 8/5*n**5 - 1/70*n**7 + 0 + 257*n**2. Let d(j) = 0. What is j?
-2, 0, 8
Let i(a) be the third derivative of -5/6*a**4 + 0 + 11/120*a**5 + a + 4*a**3 + 8*a**2 - 1/240*a**6. Find u, given that i(u) = 0.
3, 4
Suppose -93*y - 99*y**2 - y**2 + 594 - 3569*y**3 + 3568*y**3 = 0. What is y?
-99, -3, 2
Let p be 9/(-24) + (-2000)/(-1920). Let g(j) be the first derivative of 2*j + 1/4*j**4 - 22 - 1/2*j**2 - p*j**3. Solve g(n) = 0.
-1, 1, 2
Let -4/3*d**3 - 118/3 - 356/3*d - 242/3*d**2 = 0. What is d?
-59, -1, -1/2
Let b be (41/(-8))/(-1) + (-91)/728. Let i(z) be the second derivative of 6655/2*z**2 + 605/2*z**3 + 55/4*z**4 - z - 9 + 1/4*z**b. Determine d so that i(d) = 0.
-11
Let i = 1406462/3 - 468820. Factor i*b**5 + 170/3*b + 212/3*b**2 + 116/3*b**3 + 50/3 + 26/3*b**4.
2*(b + 1)**3*(b + 5)**2/3
Let k(n) be the third derivative of n**5/90 - 139*n**4/12 - 418*n**3/9 - 64*n**2 - 5. Factor k(a).
2*(a - 418)*(a + 1)/3
Let n = -11958 - -35881/3. Find w such that -4*w - 4/3 + n*w**2 = 0.
-2/7, 2
Let j be 1/(-12) + (2185/(-114) - -20). Let c(t) be the first derivative of 18 + 0*t**2 + 0*t + j*t**4 + 3/5*t**5 + 0*t**3. Factor c(i).
3*i**3*(i + 1)
Let m(b) be the second derivative of b**4/54 + 190*b**3/27 + 187*b**2/3 + 2604*b. Let m(o) = 0. Calculate o.
-187, -3
Let q(o) be the second derivative of o**5/50 + 1517*o**4/10 + 2301289*o**3/5 + 3491055413*o**2/5 - 5929*o. Factor q(a).
2*(a + 1517)**3/5
Let o(f) be the first derivative of f**5/240 + 19*f**4/16 + 1083*f**3/8 + 118*f**2 - 36. Let s(l) be the second derivative of o(l). Factor s(d).
(d + 57)**2/4
Let h be (0 + 6)*(-40)/15. Let x = h + 20. Factor 0*t**3 + 0*t - 1/5 - 1/5*t**x + 2/5*t**2.
-(t - 1)**2*(t + 1)**2/5
Let j be (-712)/(-48) - (-3)/18. Solve j*q + 31 - q**2 + 3*q - 34 - 78 = 0 for q.
9
Let y(r) be the first derivative of 81 + 2/9*r**2 + 2/3*r - 2/27*r**3. Let y(c) = 0. Calculate c.
-1, 3
Let x = 1984562/7 + -283478. Let r be (-2)/4 + 583/14. What is q in 160/7*q + x*q**3 + 54/7*q**4 + 32/7 + r*q**2 = 0?
-2, -2/3
Let t = -1/4894 + 4897/14682. Let u(y) be the second derivative of -8*y**2 - 10/3*y**3 + 0 - t*y**4 + 5*y. What is m in u(m) = 0?
-4, -1
Let x(v) be the third derivative of 0 + 37/8*v**4 + 7*v**3 + 1/4*v**5 - 26*v**2 + 0*v. Determine p, given that x(p) = 0.
-7, -2/5
Let r = -302 - -301. Let a(j) = 4*j**2 + 6*j + 2. Let i(w) = w**2 - 1. Let v be (-25)/10*4/(-10). Let p(o) = r*a(o) + v*i(o). Find b such that p(b) = 0.
-1
Let v be 23/((-805)/(-10)) - 108/(-14). Let m be 0/(v + (-18)/6). Solve 1/9*c**5 + 2/9*c**4 - 2/9*c**2 + m - 4/9*c**3 + 1/3*c = 0.
-3, -1, 0, 1
Let k be (-33 + 33)/(-6 - (3 + -4)). Let v(q) be the first derivative of -4/15*q**3 + k*q + 1/10*q**4 + 4/25*q**5 - 1/5*q**2 - 6. Let v(y) = 0. What is y?
-1, -1/2, 0, 1
Let b(s) be the third derivative of 0*s + 0*s**5 + 0*s**3 + 1/588*s**8 - 6/245*s**7 + 0 - 57*s**2 - 1/21*s**6 + 0*s**4. Solve b(q) = 0.
-1, 0, 10
Let q(x) = 17*x**3 + 38*x**2 + 73*x + 43. Let b(z) = 28*z**3 + 76*z**2 + 148*z + 85. Let j(v) = 6*b(v) - 10*q(v). Solve j(h) = 0 for h.
-1, 40
Suppose 23*i**2 - 34*i**3 + 39*i**2 + 2*i**4 + 242*i + 4*i**2 + 140 = 0. What is i?
-1, 5, 14
What is p in 2/13*p**3 - 2190/13*p + 84*p**2 + 1096/13 = 0?
-548, 1
Determine p so that 404*p + 3*p**4 + 3797*p**2 + 4299*p**2 - 360*p**3 - p**4 + 2*p**4 - 44*p - 8100 = 0.
-1, 1, 45
Let 6/5*y**4 - 12/5*y - 8/5 + 11/5*y**3 + 1/5*y**5 + 2/5*y**2 = 0. Calculate y.
-2, -1, 1
Let n(d) = -6*d**2 + 420*d - 403. Let k(y) = 2*y**2 - 140*y + 154. Let g(r) = 14*k(r) + 4*n(r). Let g(c) = 0. What is c?
2, 68
Determine v so that -1072/11*v + 2/11*v**3 + 262/11*v**2 + 1080/11 = 0.
-135, 2
Suppose -4*s - 3*g = -0 - 18, -7 = -s - 2*g. Suppose 66*x - 65*x + 2*v = -s, -15 = -2*x + 3*v. Find a such that 0 - 5/2*a**2 + 0*a - 1/2*a**x = 0.
-5, 0
Let z be (0 + 3 + -2)*(1 - -2). Suppose -2 - 1 = 3*g - z*w, 2*g + 8 = 4*w. Factor -8*h**4 + 35*h + 7*h**3 - 19*h**3 + 4*h**5 + 32*h**g - 51*h.
4*h*(h - 2)*(h - 1)**2*(h + 2)
What is v in 42 + 106/7*v**2 + 2/7*v**3 + 398/7*v = 0?
-49, -3, -1
Let l(p) be the second derivative of -1/6*p**3 + 4/3*p**2 + 0 + 113*p - 1/72*p**4. Factor l(v).
-(v - 2)*(v + 8)/6
Suppose -6*m + 714 = m. Let n = -98 + m. Find p such that -6*p + 12*p**3 + n*p**5 + 16*p**4 + 2*p + 4*p - 16*p - 16*p**2 = 0.
-2, -1, 0, 1
Suppose -3*u - 3 = 3*a, 51*a + 5*u = 56*a - 35. Let x(q) be the second derivative of 0 - 23*q - 11/27*q**a - 1/108*q**4 - 121/18*q**2. Factor x(w).
-(w + 11)**2/9
Let r = -1378 + 460. Let s = 920 + r. Factor -8/11*g - 6/11 - 2/11*g**s.
-2*(g + 1)*(g + 3)/11
Let g(v) be the second derivative of -v**4/72 - 3*v**3/4 - 85*v**2/6 - 3*v + 355. Factor g(d).
-(d + 10)*(d + 17)/6
Let w(p) be the third derivative of -p**6/192 + 23*p**5/120 - 379*p**4/192 + 91*p**3/12 + 3085*p**2. Determine s so that w(s) = 0.
7/5, 4, 13
Let k(i) be the third derivative of i**5/330 + 17*i**4/66 + 63*i**3/11 + 300*i**2 - 3*i. Factor k(w).
2*(w + 7)*(w + 27)/11
Let a(s) = s**2 + s + 9. Let d(q) = -5*q**2 - 494*q + 1998. Let k(l) = -2*a(l) - d(l). Solve k(h) = 0 for h.
-168, 4
Let k be (-9)/(-6)*((-9)/(-3) - -1). What is y in -2*y**3 + 15*y - k + 4*y**3 + 3 + 3*y**2 + 12 - 5*y**3 = 0?
-1, 3
Let l(b) be the second derivative of -17/2*b**3 - 6*b + 7/4*b**4 + 27/2*b**2 + 3/20*b**5 + 3. Solve l(s) = 0 for s.
-9, 1
Let r(j) be the first derivative of 5/12*j**4 - 33*j - 5/6*j**3 - 15*j**2 - 15. Let v(g) be the first derivative of r(g). Let v(l) = 0. Calculate l.
-2, 3
Factor 3/2*w**3 + 0 - 1140*w - 63/2*w**2.
3*w*(w - 40)*(w + 19)/2
Let l be (2/140)/(3640/2548). Let b(x) be the third derivative of 0 - 5*x**2 - 1/600*x**6 - 1/15*x**3 - 1/1050*x**7 + 0*x + 1/120*x**4 + l*x**5. Factor b(f).
-(f - 1)**2*(f + 1)*(f + 2)/5
Let g(x) = 2*x**3 + 67*x**2 + 547*x + 174. Let t be g(-14). Factor 56/3*l**2 + 0 + 384*l**4 - t*l**3 - 2/3*l.
2*l*(4*l - 1)*(12*l - 1)**2/3
Suppose 0 = -56*n + 43 - 18 + 143. Factor 2/11*y**n + 16/11*y**2 - 24/11*y - 2/11*y**4 + 0.
-2*y*(y - 2)**2*(y + 3)/11
Let w(r) be the third derivative of 5/9*r**4 + 0 + 1/180*r**5 + 35*r**2 + 200/9*r**3 + 0*r. Solve w(z) = 0.
-20
Let j(l) = -6*l**2 + 208*l + 80. Let k(a) = a**2 - 52*a - 20. Let h(u) = -2*j(u) - 9*k(u). Let c be h(-17). Factor 1/3*q**c + 72 + 6*q**2 + 36*q.
(q + 6)**3/3
Let j(g) be the second derivative of 5*g**4/12 - 160*g**3 - 4925*g**2/2 + 562*g + 3. Determine m, given that j(m) = 0.
-5, 197
Let l(h) be the third derivative of h**7/10 + 9*h**6/8 - 7*h**5/4 - 45*h**4/8 + 14*h**3 - 1009*h**2. Determine n so that l(n) = 0.
-7, -1, 4/7, 1
Let j(b) be the first derivative of 2*b**5/35 + 4*b**4/7 - 4*b**3/3 - 48*b**2/7 - 54*b/7 + 1086. Factor j(n).
2*(n - 3)*(n + 1)**2*(n + 9)/7
Let t = 42 - 26. Factor -16*o**5 - t*o**5 + 27*o**5 + 4*o**3 + o**3.
-5*o**3*(o - 1)*(o + 1)
Let s(y) be the first derivative of -160 + 149*y**2 - 15*y**3 - 8*y**2 + 14*y**3 - 6627*y. Factor s(a).
-3*(a - 47)**2
Let d = -55179 + 55181. Factor 0 + 0*j - 2/5*j**5 + 6/5*j**4 - 6/5*j**3 + 2/5*j**d.
-2*j**2*(j - 1)**3/5
Let v be ((-96)/360)/(28/14) - 74/(-105). Factor -8/7*j + v*j**2 - 32/7.
4*(j - 4)*(j + 2)/7
Let g(u) be the second derivative of -u**6/6 + 101*u**5 - 17335*u**4 + 404000*u**3/3 - 400000*u**2 + 1265*u. Factor g(w).
-5*(w - 200)**2*(w - 2)**2
Let v = 4 - 3. Let w(m) = -4*m + m + 7*m**2 + 2*m - 3 + m**3 + 2*m. Let n(p) = p**2 + p + 1. Let y(t) = v*w(t) - 5*n(t). Suppose y(u) = 0. What is u?
-2, 2
Let o = 876 - 871. Let c(s) = -s**5 + 2*s**4 + 2*s**3 - 9*s**2 + 6*s - 3. Let t(i) = 0*i**2 - 1 - i - i**2 + 0*i**2. Let m(f) = o*t(f) - 5*c(f). Solve m(r) = 0.
-2, 1
Let g(z) be the first derivative of -4*z**5/25 + 73*z**4/5 - 7084*z**3/15 + 28566*z**2/5 - 5992. Determine m, given that g(m) = 0.
0, 23, 27
Let g(v) = 6*v**2 + 8*v + 37. Let c = 272 + -273. Let b(d) = -2*d**2 - 1. Let m(y) = c*g(y) - 5*b(y). Factor m(u).
4*(u - 4)*(u + 2)
Let p = -2/380