a - 4/3*p - 2/9*p**4 + 0*p**3.
-2*p*(p - 2)*(p - 1)*(p + 3)/9
Determine u so that u**3 - 1243 - 1424*u**2 - 179 - 185*u + 837*u - 52*u + 2245*u = 0.
1, 1422
Let w(d) be the third derivative of 17/350*d**7 + 1/2*d**3 - 1/10*d**6 + 2/5*d**4 - 11/50*d**5 + 1 - 8*d**2 + 0*d + 1/140*d**8. Suppose w(u) = 0. Calculate u.
-5, -1, -1/4, 1
Let q = 140628/5 - 140626/5. Let q*s**4 + 4*s**3 + 32/5 + 66/5*s**2 + 16*s = 0. What is s?
-4, -1
Suppose -4*p - 4*t + t - 13 = 0, -t - 7 = 2*p. Let z be 12 + (-8)/p*2. Determine r, given that -1 - 20*r - 9 - z*r**2 - 7*r**3 + 2 + 3*r**3 = 0.
-2, -1
Let i(p) be the second derivative of -p**6/180 - p**5/30 + p**4/9 - 55*p**2/2 + 37*p + 1. Let s(b) be the first derivative of i(b). Solve s(u) = 0.
-4, 0, 1
Factor 5/4*y**3 - 1/4*y**4 - 9/4*y**2 - 1/2 + 7/4*y.
-(y - 2)*(y - 1)**3/4
Let d(f) be the first derivative of 5*f + 1/3*f**3 - 104 - 3*f**2. Solve d(g) = 0 for g.
1, 5
Let d(l) be the first derivative of -5*l + 19 + 1/72*l**4 + 1/12*l**2 - 1/18*l**3. Let w(r) be the first derivative of d(r). Factor w(s).
(s - 1)**2/6
Factor 1/4*c**4 + 145/2*c**2 + 0 + 150*c + 33/4*c**3.
c*(c + 3)*(c + 10)*(c + 20)/4
Suppose -3*q - 32 = q, 23*q - 27*q = -5*v + 32. Determine g so that 0 - 1/3*g**5 + 20/3*g**2 - 25/9*g**4 - 32/9*g + v*g**3 = 0.
-8, -2, 0, 2/3, 1
Let s = 5/2308 + 23065/6924. Let h(w) be the first derivative of 0*w + 1/12*w**6 + 9/4*w**4 + 2*w**2 + 7/10*w**5 + s*w**3 - 24. Factor h(b).
b*(b + 1)*(b + 2)**3/2
Let a = -50 - -40. Let h be (a - -3)*24/(-56). What is b in 0 - 9/2*b**4 + 3/4*b**2 + 15/4*b**h + 0*b = 0?
-1/6, 0, 1
Let p(l) be the second derivative of -l**5/100 - 7*l**4/30 - 11*l - 44. Factor p(r).
-r**2*(r + 14)/5
Let p(x) be the second derivative of x**5/4 + 205*x**4/12 - 215*x**3/3 - 2162*x. Let p(k) = 0. Calculate k.
-43, 0, 2
Let c(r) be the second derivative of r**5/90 + r**4/6 - 22*r**3/27 + 228*r + 4. Determine g so that c(g) = 0.
-11, 0, 2
Factor 3/2*g**2 + 639/2 + 321*g.
3*(g + 1)*(g + 213)/2
Let t = 13/472 + 1849/1416. Let w(r) be the second derivative of 0*r**4 + t*r**3 + 0 - 23*r + 2*r**2 - 2/15*r**6 - 2/5*r**5. Factor w(y).
-4*(y - 1)*(y + 1)**3
Let h(w) be the second derivative of 13 - 5/4*w**2 + 5/24*w**4 + w + 1/16*w**5 - 5/24*w**3. Find d, given that h(d) = 0.
-2, -1, 1
Suppose -35*h = -5*h - 60. Find z such that -12*z - 11*z**2 - 63 - 18*z**h - 21*z**2 + 65*z**2 - 12*z**2 = 0.
-3, 7
Let i(j) be the second derivative of -j**5/90 - 94*j**4/27 - 8836*j**3/27 + 239*j. Factor i(t).
-2*t*(t + 94)**2/9
Let o(q) = -108*q**2 - q**3 + q + 59*q**2 + 50*q**2. Let i(f) = 4*f**4 - 2*f**3 - 10*f**2 - 10*f. Let j(r) = -i(r) + 6*o(r). Find m, given that j(m) = 0.
-2, -1, 0, 2
Suppose 868*s + 913*s = 1645*s + 272. Factor 8/7*w + 0 + 2/7*w**s - 5/7*w**3 + 1/7*w**4.
w*(w - 4)*(w - 2)*(w + 1)/7
Let z(p) be the second derivative of -p**4/4 + 15*p**3/2 + 24*p**2 + 33*p. Let z(v) = 0. What is v?
-1, 16
Let j(a) be the second derivative of a**5/30 + 5*a**4/18 - 28*a**3/9 - 32*a**2/3 - 138*a + 5. Suppose j(l) = 0. What is l?
-8, -1, 4
Let b be (20/16)/((-213)/(-284)). Let q = -14 + 43/3. Factor -8/3*u - 4/3 - 1/3*u**2 + 1/3*u**4 + b*u**3 - q*u**5.
-(u - 2)**2*(u + 1)**3/3
Let z(o) = -16*o**2 + 16. Let w(y) = 3*y**2 - 3. Let u(k) = -11*w(k) - 2*z(k). Let g(x) = -33*x - 57. Let p(l) = g(l) + 3*u(l). Factor p(b).
-3*(b + 2)*(b + 9)
Let d = -8960/13 + 45034/65. Solve -2/5*u**2 - 12/5*u - d = 0 for u.
-3
Let k be ((-2)/19 - (-999540)/(-56430)) + 18. Suppose k*a**2 - 120/11*a + 1800/11 = 0. Calculate a.
30
Let h(v) be the second derivative of 1/4*v**5 + 11*v + 8 - 1/2*v**3 - 7/6*v**4 + 0*v**2. Factor h(n).
n*(n - 3)*(5*n + 1)
Let c(i) = -2*i**2 - 732*i + 6840. Let g be c(9). Determine t so that -9*t**3 + 33/2*t**2 - 150 + g*t - 3/2*t**4 = 0.
-5, 2
Let b = 295/678 - 23/226. Let w(o) be the first derivative of 0*o**2 - b*o**6 - 6/5*o**5 + 0*o**3 - o**4 - 8 + 0*o. Solve w(z) = 0.
-2, -1, 0
What is y in 222/5 + 224/5*y + 2/5*y**2 = 0?
-111, -1
Let s(i) be the third derivative of -i**8/1008 - 4*i**7/105 + 17*i**6/120 - 13*i**5/90 + 2121*i**2. Factor s(x).
-x**2*(x - 1)**2*(x + 26)/3
Let o(p) be the second derivative of p**5/210 + p**4/21 + 4*p**3/21 + 51*p**2 + 97*p. Let j(x) be the first derivative of o(x). Let j(l) = 0. What is l?
-2
Factor 9/4*o**2 - 1641/2*o + 546.
3*(o - 364)*(3*o - 2)/4
Let m(l) be the first derivative of -l**6/2 - 171*l**5/5 - 555*l**4/2 + 12150*l**3 - 186375*l**2/2 + 275625*l + 5092. Solve m(o) = 0 for o.
-35, 3, 5
Let o = 4/671 - 15518/126819. Let k = 293/189 - o. Factor k*t**2 - 5/3 - 1/3*t**3 + 1/3*t.
-(t - 5)*(t - 1)*(t + 1)/3
Let p = 71567/3224 + -11/248. Suppose p + 2/13*d**2 - 48/13*d = 0. What is d?
12
Let w(i) be the first derivative of -3*i**4/4 + 53*i**3 - 360*i**2 + 1509. Suppose w(n) = 0. What is n?
0, 5, 48
Let l(q) = q**3 - 81*q**2 - 3*q + 246. Let b be l(81). Let o(g) be the first derivative of 26 + 4/3*g**b + 0*g - 4*g**2. Factor o(u).
4*u*(u - 2)
What is j in 9*j**2 + 101*j - 156 - 11*j**2 + 4*j**2 - 147*j + 200*j = 0?
-78, 1
Let w(f) be the first derivative of 5*f**3/27 + 31*f**2/18 - 4*f + 6320. Let w(p) = 0. Calculate p.
-36/5, 1
Let c be (-8 + (-7)/(210/(-244)))*16/((-480)/(-45)). Factor 1/5*k**2 + 1/5*k - 1/5*k**4 - c*k**3 + 0.
-k*(k - 1)*(k + 1)**2/5
Let y = 18487 - 73945/4. Let u(a) be the second derivative of -4*a**3 + 1/10*a**6 - 6*a**2 + y*a**5 + 0 - 1/4*a**4 - 10*a - 1/14*a**7. Factor u(c).
-3*(c - 2)**2*(c + 1)**3
Find g such that -4*g**3 + 393*g**2 + 195*g**2 - 9409789*g - 21904 + 9388477*g = 0.
-1, 74
Let j(q) be the third derivative of -q**8/23520 + 3*q**7/980 - 13*q**6/1260 - 31*q**4/4 - 83*q**2. Let r(m) be the second derivative of j(m). Factor r(g).
-2*g*(g - 26)*(g - 1)/7
Let 0*t - 201/2*t**3 + 30*t**4 + 0 + 72*t**2 - 3/2*t**5 = 0. Calculate t.
0, 1, 3, 16
Let p(u) be the second derivative of -16 + 0*u**3 - 2*u + 1/66*u**4 + 0*u**2. Factor p(t).
2*t**2/11
Let b = -185 - -187. Determine y so that -45*y + 6*y + 11*y + b*y**2 + 11*y - y**2 = 0.
0, 17
Let p(b) be the third derivative of -1/90*b**6 + 5/18*b**4 + 1/45*b**5 - 40*b**2 + 0 + 0*b + 2/3*b**3. Factor p(d).
-4*(d - 3)*(d + 1)**2/3
Let o(a) = a**3 - 7*a**2 - 7*a - 7. Let b be o(8). Let c be 3/b*(1 + 0). Factor -5*x**c + 30*x - 108*x**2 + 58*x**2 + 55*x**2.
-5*x*(x - 3)*(x + 2)
Determine a so that 77/2*a**4 - 42*a + 301/2*a**3 + 143/2*a**2 + 0 + 3/2*a**5 = 0.
-21, -4, -1, 0, 1/3
Let i be (-1)/(6*(-2)/(-4824)). Let b be i/(-67)*2/3. Factor 2/7*q**2 + 0*q - 1/7*q**b + 1/7*q**3 + 0.
-q**2*(q - 2)*(q + 1)/7
Let u(r) be the second derivative of -r**5/4 + 10*r**4/3 - 40*r**3/3 - 403*r. Factor u(t).
-5*t*(t - 4)**2
Let b(c) = 3*c**2 + 134*c + 1448. Let t(h) = h - 2. Suppose 0 = n - 2*s + 7, 4*n - n = 5*s - 17. Let u(i) = n*b(i) - 2*t(i). Suppose u(j) = 0. What is j?
-22
Let i(h) be the second derivative of 19*h - 9/2*h**2 + 2 - 5/3*h**3 - 1/12*h**4. Suppose i(w) = 0. Calculate w.
-9, -1
Let 3*q**3 - 298*q + 448*q**2 - q**3 - 510*q - 80*q - 4*q**3 = 0. Calculate q.
0, 2, 222
Let d(j) be the first derivative of -j**5/60 + 5*j**4/6 - 50*j**3/3 + 45*j**2/2 - 55. Let f(n) be the second derivative of d(n). Factor f(o).
-(o - 10)**2
Determine m so that -3*m**3 + 492*m - 1965/2*m**2 + 0 = 0.
-328, 0, 1/2
Let f be (112/21 + -9)*8/(-22). Let j(r) be the second derivative of -3*r - 1/5*r**5 - 1/45*r**6 - f*r**3 + 0 - 13/18*r**4 - 4/3*r**2. Factor j(c).
-2*(c + 1)**2*(c + 2)**2/3
Determine c, given that 40743*c - 252*c**2 - 81620*c + 42513*c - 1380 - 4*c**3 = 0.
-69, 1, 5
Determine a, given that 0 + 1/9*a**5 + 4736/3*a**3 + 692224/9*a + 186368/9*a**2 + 224/9*a**4 = 0.
-104, -8, 0
Let i(m) = 2*m**3 - 26*m**2 + 21*m + 53. Let r be i(12). Suppose 41*t = r*t + 48. Factor -2/7 + 0*z**t + 4/7*z + 2/7*z**4 - 4/7*z**3.
2*(z - 1)**3*(z + 1)/7
Factor -2178/7 - 2444/7*c**2 - 4488/7*c - 136/7*c**3 - 2/7*c**4.
-2*(c + 1)**2*(c + 33)**2/7
Suppose -5057*x = -1247*x - 7620. Factor -10/3*s**x + 44/3*s - 34/3.
-2*(s - 1)*(5*s - 17)/3
Let g be 3 - 1*(-18)/(-7). Let c be (-1)/(12/45)*16/(-35). Determine h so that g*h**2 - 12/7*h + c = 0.
2
Let w(o) = -3*o**2 - 43*o - 20. Let y(q) = -q**2 - 20*q - 11. Let h(g) = 2*w(g) - 5*y(g). What is z in h(z) = 0?
-1, 15
Let a(j) be the first derivative of j**3/4 + 399*j**2/2 + 53067*j + 797. What is c in a(c) = 0?
