3*m - 52/3*m**q + 16*m**2 + 4/3 - 2*m**u + 28/3*m**4 = 0.
2/3, 1
Let c(a) be the third derivative of a**6/200 + a**5/20 - 13*a**4/40 + 7*a**3/10 + 8*a**2. Solve c(h) = 0 for h.
-7, 1
Let z = -1151 + 27625/24. Let l(w) be the first derivative of -z*w**6 + 0*w**4 + 1/8*w**2 + 2 + 0*w + 1/6*w**3 - 1/10*w**5. Factor l(k).
-k*(k - 1)*(k + 1)**3/4
Let k(r) = -r - 7. Let j be k(-9). Let w(u) = -6*u + 0 + 5*u**2 - j - 2*u**2 + 10*u. Let a(d) = 1. Let v(z) = -2*a(z) + w(z). Find s, given that v(s) = 0.
-2, 2/3
Let -3/2*j**3 - 18*j**2 - 135/2*j - 75 = 0. Calculate j.
-5, -2
Let s(l) be the first derivative of 0*l**3 + 0*l - 18 + 2/25*l**5 + 1/10*l**4 + 0*l**2. Factor s(w).
2*w**3*(w + 1)/5
Let v(r) be the first derivative of r**3/18 + 5*r**2/4 + 25*r/3 - 55. Factor v(i).
(i + 5)*(i + 10)/6
Suppose -2*d - d = -4*w - 11, 2*d = -2*w + 26. Let f be (1*10)/(-7 + d). Factor 40*a**2 + 20*a**f + 4*a**4 + 8 - 130*a**3 - 52*a**4 - 36*a + 146*a**3.
4*(a - 1)**3*(a + 1)*(5*a - 2)
Let f(a) be the second derivative of a**4/24 - a**3/6 - 3*a**2/4 + 2*a + 257. Let f(x) = 0. What is x?
-1, 3
Suppose 0 = t + 2*t - 6, 2*t = -4*d + 8. Let v be 0/(d + -1 - -1). Factor 4*k + 5*k**3 - 4*k**2 + 16*k**2 + v*k**2.
k*(k + 2)*(5*k + 2)
Let k be 92/276 - 1/((-6)/10). Factor 2/11*q**3 - 24/11*q**k - 128/11 + 96/11*q.
2*(q - 4)**3/11
Let d = 48 + -42. Let i be 3 - (-3)/(-2)*4/d. Factor 0 + 0*u - 4/11*u**3 + 2/11*u**4 + 2/11*u**i.
2*u**2*(u - 1)**2/11
Let l(k) be the third derivative of -k**6/48 - 11*k**5/40 - k**4/3 + k**3 + 113*k**2. Factor l(u).
-(u + 1)*(u + 6)*(5*u - 2)/2
Suppose -3*t = -4*f + 81, f - 3*t + 3 = 12. Let j be (-70)/(-8)*(-2 - f/(-10)). Factor -13*d**3 + j*d**4 - 2 - 2*d + 27/2*d**2.
(d - 2)*(d - 1)**2*(7*d + 2)/2
Suppose 0 = -12*x + 7*x + 4*x. Let r(d) be the second derivative of 1/4*d**3 + x - 5*d + 1/8*d**4 - 3/40*d**5 - 3/4*d**2. Factor r(c).
-3*(c - 1)**2*(c + 1)/2
Determine h, given that -48/5 + 1/5*h**2 + 47/5*h = 0.
-48, 1
Determine w, given that 16*w**4 + 4*w**5 - 49*w**2 + w**2 + 6*w**3 - 14*w**3 + 36*w = 0.
-3, 0, 1
Let m(z) be the first derivative of -z**4/2 - 52*z**3/3 - 123. Factor m(j).
-2*j**2*(j + 26)
Let c(b) = -7*b**2 + 63*b - 225. Let o(v) = 22*v**2 - 190*v + 680. Let a(j) = 16*c(j) + 5*o(j). Factor a(m).
-2*(m - 25)*(m - 4)
Suppose -82*j = -48 - 198. Solve 64/5 - 2/5*r**4 + 0*r - 18/5*r**j - 44/5*r**2 = 0.
-4, -2, 1
Let b(s) be the third derivative of -81*s**7/70 + 621*s**6/40 - 87*s**5 + 2350*s**4/9 - 4000*s**3/9 - 517*s**2. Let b(a) = 0. Calculate a.
1, 20/9
Let t(k) be the first derivative of k**4/6 - 296*k**3/3 + 21904*k**2 - 6483584*k/3 - 361. Factor t(a).
2*(a - 148)**3/3
Suppose b + 238 = 4*r + 227, -4*b = 12. Determine f, given that -6/5*f**5 + 0 - 12/5*f**3 + 3*f**4 + 0*f + 3/5*f**r = 0.
0, 1/2, 1
Suppose -19*v + 6 = -16*v. Suppose -4*u - t + 18 = 4, t = 4*u - 18. Factor -4/3*b**v + 4/3*b**u + 2/3*b + 0 + 0*b**3 - 2/3*b**5.
-2*b*(b - 1)**3*(b + 1)/3
Suppose -2*x + 7*x = 15. Let h(v) = 21*v**2 - 11*v + 2. Let i(k) = k**2 - k. Let p(g) = x*i(g) + h(g). Let p(a) = 0. Calculate a.
1/4, 1/3
Let j(p) = 14*p**2 - 12*p - 6. Let k(i) be the second derivative of i**4/12 + i**3/6 + i. Let q(n) = -2*j(n) + 14*k(n). Factor q(h).
-2*(h - 3)*(7*h + 2)
Let o(y) = 9*y**2 - 125*y - 473. Let t be o(17). Let -6*x - 3*x**2 + 6*x**t + 9/2 - 3/2*x**4 = 0. What is x?
-1, 1, 3
Let y(t) be the first derivative of t**5/230 - t**4/46 - 3*t**3/23 - 5*t**2/23 - 23*t + 7. Let d(k) be the first derivative of y(k). Factor d(h).
2*(h - 5)*(h + 1)**2/23
Let m be (7 - 134/24)/(5/2). Let v = 1/10 + m. Factor 0*p + 2/3 - v*p**2.
-2*(p - 1)*(p + 1)/3
Suppose 18 + 20 = 3*t - a, 60 = 4*t + a. Suppose -t*u + 36 = 4*u. Let 0 + 3/8*d - 1/8*d**u = 0. What is d?
0, 3
Let g(c) be the third derivative of c**6/840 + c**5/420 - c**4/28 + 263*c**2. Determine b so that g(b) = 0.
-3, 0, 2
Suppose 4*y - 9 = 3*c, 0 = -4*y - 1177*c + 1175*c - 6. Determine b, given that y + 0*b + 1/2*b**2 + 1/2*b**4 - b**3 = 0.
0, 1
Let x(n) be the second derivative of 0*n**4 + 0*n**3 + 1/252*n**7 + 0*n**2 + 0 - 1/90*n**6 + 0*n**5 + 2*n. Factor x(g).
g**4*(g - 2)/6
Let y(n) be the first derivative of 0*n - n**3 + 0*n**2 + 0*n**4 + 1/40*n**5 - 6 - 1/120*n**6. Let q(h) be the third derivative of y(h). Factor q(j).
-3*j*(j - 1)
Let s = 15124 - 30247/2. Let -4 - 5/2*g**3 + 3*g**2 + s*g**4 + 2*g = 0. Calculate g.
-1, 2
Let n(w) be the first derivative of 3*w**4/8 - w**3/4 - 15*w**2/8 - 3*w/2 - 15. Factor n(v).
3*(v - 2)*(v + 1)*(2*v + 1)/4
Factor -n**3 - 6*n**3 + 17*n**3 - 10*n**3 + 6*n**2 - 3*n**3.
-3*n**2*(n - 2)
Suppose 13*l - 40*l = 0. Let x(a) be the third derivative of 1/150*a**5 + 1/15*a**4 + l*a + 0 - 5*a**2 + 1/5*a**3. Let x(c) = 0. Calculate c.
-3, -1
Let a(h) be the third derivative of -h**6/30 + h**5/60 + 11*h**4/24 + h**3 - 9*h**2 + h. Factor a(y).
-(y - 2)*(y + 1)*(4*y + 3)
Factor 0*t + 1/4*t**3 + 0 + 5/2*t**2.
t**2*(t + 10)/4
Let u be (15/(-6))/((-1)/2). Suppose -u = -3*z + 4. Factor -3*i**3 - 22*i**2 - z*i**3 - 9*i**4 + 25*i**2.
-3*i**2*(i + 1)*(3*i - 1)
Let p(d) = -d**2 + 11*d + 12. Suppose -5*x - 7 = 4*r - 35, 3*r - 40 = x. Let y be p(r). Factor 0*c + y*c**2 + 0 + 0*c**3 + 6/5*c**5 + 3/5*c**4.
3*c**4*(2*c + 1)/5
Let m(a) be the second derivative of 1/6*a**3 + 46*a + 0 - 1/18*a**4 + 0*a**2. Let m(y) = 0. What is y?
0, 3/2
Let u = -58 - -61. Suppose 0 = y - u*y. Suppose 2/9*r**3 + 0*r + 0*r**4 - 2/9*r**5 + y + 0*r**2 = 0. Calculate r.
-1, 0, 1
Let t be ((-30)/(-9))/(3 + 2). Factor -q + 0 + 1/3*q**3 - t*q**2.
q*(q - 3)*(q + 1)/3
Let y(k) be the second derivative of -1/36*k**4 + 1/18*k**3 + 0 + 1/3*k**2 + 7*k. Factor y(m).
-(m - 2)*(m + 1)/3
Let o(p) = -7*p**2 + 185*p - 172. Let x(n) = 36*n**2 - 925*n + 856. Let t(u) = 11*o(u) + 2*x(u). Factor t(s).
-5*(s - 36)*(s - 1)
Find z, given that -1347*z + 2*z**3 + 24*z**2 - 6*z**3 + 48*z**2 + 1279*z = 0.
0, 1, 17
Let q(o) = 2*o**2 + 5*o + 2. Let l be q(-3). Let z be l/(20/12) - 0. Find w, given that 4*w**2 - 8*w + 13*w**2 + 2*w**z + 2*w**4 - w**2 - 12*w**3 = 0.
0, 1, 2
Let o(z) be the third derivative of z**6/840 + z**5/140 - 2*z**3/21 + 85*z**2. Suppose o(k) = 0. What is k?
-2, 1
Factor 44*g + 81 + 10*g**3 - 9 + 40*g - 14*g**3 + 8*g**2.
-4*(g - 6)*(g + 1)*(g + 3)
Let d(r) = -2*r - 27. Let v be d(-16). Factor -7*u**4 - 7*u**3 - 3*u**v + 5*u**3 - u**3 + u**4.
-3*u**3*(u + 1)**2
Find q, given that 9/5*q**3 + 0 + 66/5*q - 21*q**2 = 0.
0, 2/3, 11
Let t(l) be the second derivative of -l**5/2 + 106*l**4/3 - 763*l**3 + 882*l**2 - 30*l. Let t(n) = 0. Calculate n.
2/5, 21
Let p = -7 + 11. Let q = -444 - -446. Factor 2 - 4*v**2 - 2*v**5 + 2*v**3 - 3*v**3 + v**3 + 4*v**3 + 2*v**p - q*v.
-2*(v - 1)**3*(v + 1)**2
Let q(j) be the first derivative of j**4/8 - j**3/2 + 2*j - 139. Factor q(s).
(s - 2)**2*(s + 1)/2
Let h(g) be the first derivative of g**4/12 - 17*g**3/9 + 40*g**2/3 - 64*g/3 - 20. Find k, given that h(k) = 0.
1, 8
Let g be (-2)/8 + 3480/2400. Suppose -g*t + 0 + 2/5*t**3 - 4/5*t**2 = 0. Calculate t.
-1, 0, 3
Let z(y) be the first derivative of y**5/10 + y**4/16 - y**3/6 - y**2/8 + 81. Solve z(b) = 0 for b.
-1, -1/2, 0, 1
Let p(q) = -10*q + 343. Let h be p(34). Suppose -27/5*w + 3/5 + 72/5*w**2 - 48/5*w**h = 0. Calculate w.
1/4, 1
Factor -7/6*y - 4/3 + 1/6*y**2.
(y - 8)*(y + 1)/6
Factor -1/9*y**2 + 1 - 8/9*y.
-(y - 1)*(y + 9)/9
Let b(z) be the first derivative of z**6/24 + z**5/10 - z**4/4 - z**3/6 + 3*z**2/8 + 529. Factor b(s).
s*(s - 1)**2*(s + 1)*(s + 3)/4
Let u = -139 + 212. Let z = u + -69. Suppose 2/7*a**3 + 0 + 4/7*a**z + 0*a + 2/7*a**5 + 0*a**2 = 0. Calculate a.
-1, 0
Let f(y) be the first derivative of y**5/5 + 2*y**4/3 + 2*y**3/3 - 8*y + 1. Let l(a) be the first derivative of f(a). What is m in l(m) = 0?
-1, 0
Solve 26/3 - 2/3*t**2 - 8*t = 0 for t.
-13, 1
Suppose -2 = 3*d - 2*y, -d + 5*y = 4*d + 5. Let z = 721/60 - 47/4. Find x, given that -2/15*x**2 + d - 4/15*x**3 + 2/15*x**4 + z*x = 0.
-1, 0, 1, 2
Find l such that -1/3*l**4 - 22/3*l**2 + 23/3*l**3 + 0*l + 0 = 0.
0, 1, 22
Let -40*l**3 + 260*l**4 - 61 - 708*l - 768*l**2 - 239*l**4 - 83 - 143*l**3 = 0. Calculate l.
-2, -1, -2/7, 12
Let l(n) be the third derivative of n**6/24 + 11*n**5/12 - 35*n**4/3 + 50*n**3 - 16*n**2 + 7*n. Factor l(u).
5*(u - 2)**2*(u + 15)
Let y(s) = s**2 + 8. Let c(p) = 2*p**