- 40/3*c**3 - q*c**4 + 8/3*c = 0.
-1, 1/5
Factor 93*z**3 + 78*z**2 + 52*z**2 - 181*z**3 + 124*z + z + 93*z**3.
5*z*(z + 1)*(z + 25)
Let s(o) be the third derivative of 7*o**2 + 0*o - 5/48*o**4 + 1/60*o**5 + 1/6*o**3 + 1/672*o**8 - 1/105*o**7 + 1/60*o**6 + 0. Factor s(l).
(l - 2)*(l - 1)**3*(l + 1)/2
Let c(w) be the third derivative of w**8/1008 + w**7/630 - w**6/60 + w**5/90 + 5*w**4/72 - w**3/6 - 132*w**2. Find n, given that c(n) = 0.
-3, -1, 1
Let l(t) = t**3 - 2*t**2 + 2*t - 1. Let a be l(1). Suppose 39*x + 12*x - 102 = 0. Solve a + 3/7*j**x - 3/7*j = 0.
0, 1
Let a = -555 - -374. Let z = a - -181. Factor z + 0*p - 1/5*p**2.
-p**2/5
Let l(p) = 2*p**2 - 16*p + 50. Let z(j) = -2*j**2 + 14*j - 50. Let u(q) = 6*l(q) + 4*z(q). Suppose u(s) = 0. What is s?
5
Suppose 104/3*d + 30*d**2 + 28/3*d**3 + 2/3*d**4 + 40/3 = 0. What is d?
-10, -2, -1
Let h be 36/(-336)*(-4)/15. Let k(i) be the second derivative of -i + 0 + h*i**5 + 1/21*i**4 - 2/21*i**3 - 2/7*i**2. Let k(q) = 0. Calculate q.
-1, 1
Let g be (46/(-8) - -3)*-4. Suppose 2*n - g*n = -36. Find l such that -7/3*l**3 + 0 + 4/3*l**2 + 4/3*l + l**5 - 4/3*l**n = 0.
-1, -2/3, 0, 1, 2
Let h = 12581/143 - 1005/11. Let w = -181/65 - h. Factor -3/5*p**2 + w*p**4 + 0 - 3/5*p**3 + 3/5*p.
3*p*(p - 1)**2*(p + 1)/5
Suppose -3*t - 19 = -4*c - c, -3*c + 25 = 5*t. Factor 6 - 3*b**3 + 119*b**t - 233*b**2 + 9*b + 114*b**2.
-3*(b - 2)*(b + 1)**2
Let f(s) be the first derivative of -s**5/24 - 7*s**4/48 - s**3/6 + 5*s**2/2 - 12. Let c(y) be the second derivative of f(y). Factor c(t).
-(t + 1)*(5*t + 2)/2
Let l be (-4)/(16/(-6)) + (-317)/1902. Factor 2/3*q**2 + 0*q + 0 + l*q**3 - 2*q**4.
-2*q**2*(q - 1)*(3*q + 1)/3
Let c be (315/84 + -3)*4/6. Let -5/2*g**2 + 2*g**3 - c*g**4 + g + 0 = 0. What is g?
0, 1, 2
Suppose 27*c - 79 + 7 = 9. Suppose 0 + 0*i**2 + 0*i - 5/3*i**5 - 5*i**4 + 0*i**c = 0. Calculate i.
-3, 0
Let d(g) be the third derivative of g**5/15 + 71*g**4/3 + 10082*g**3/3 + 137*g**2. Factor d(p).
4*(p + 71)**2
Let b(y) = 24*y - 379. Let m be b(16). Let g(o) be the second derivative of -o**4 + 0*o**2 + 0 - 7/15*o**m - 4/9*o**3 - o. Factor g(c).
-4*c*(c + 1)*(7*c + 2)/3
Let a be ((-1)/2)/(3/12*-1). Find c such that c**2 + c**a - 6*c**4 + 4*c**4 = 0.
-1, 0, 1
Suppose 3*s - 24 = 2*n, -14 = n - 2*s - 0. Let o be ((-16)/n)/(8/12). Factor 9*j**o - 10*j**3 + 9*j**4 - 4*j**3 - 4*j**2 + 0*j**3.
2*j**2*(j - 1)*(9*j + 2)
Let i(s) be the second derivative of s**2 + s - 3/2*s**3 - 7 - 7/10*s**5 - 1/42*s**7 + 4/3*s**4 + 1/5*s**6. Solve i(p) = 0 for p.
1, 2
Let f(i) be the first derivative of i**6/60 + i**5/30 - i**4/6 - 15*i**2/2 - 3. Let b(v) be the second derivative of f(v). Factor b(u).
2*u*(u - 1)*(u + 2)
Let v = -72/19 + 451/114. Let p(s) be the second derivative of -2/3*s**3 + 0 + 1/10*s**5 + v*s**4 - 4*s + 0*s**2. Factor p(y).
2*y*(y - 1)*(y + 2)
Let r be 3/2*(80/(-12))/(-5). Factor 3*g**3 + r*g**3 - 4*g + g**5 - 5*g**5 + 3*g**3.
-4*g*(g - 1)**2*(g + 1)**2
Suppose -5*o + g = 685, -4*o + 6*g - 532 = 2*g. Let d = o + 692/5. Find y such that -2/5*y - d*y**2 + 2/5*y**3 + 2/5 = 0.
-1, 1
Let o(v) = -v**3 + 5*v**2 - 2*v - 4. Let k be o(4). Factor -44*b**3 + 7*b**k - 3*b**4 + 40*b**3 - 4*b**2 + 4*b.
4*b*(b - 1)**2*(b + 1)
Let n(j) = j - 6*j + 18 + 7*j. Let h be n(-9). Factor 1/5*s**3 + 1/5*s**2 - 1/5*s**4 - 1/5*s + h.
-s*(s - 1)**2*(s + 1)/5
Let p = 15 - 11. Let -3*h**2 + 3*h + 4*h - 13*h + p*h**2 = 0. What is h?
0, 6
Let i(d) be the first derivative of d**4/4 + 28*d**3 + 1176*d**2 + 21952*d + 196. Factor i(a).
(a + 28)**3
Let w be 6/(7/((-385)/10)) - 5. Let h be ((-16)/6)/(-5 + w/(-8)). Determine p so that -h - 16/3*p - 2/3*p**2 = 0.
-4
Let i = 20 - 16. Suppose -i*r + 8 = -2*v, -3*r + 2 - 1 = -4*v. Suppose 5 - 2 - 3*m**v - 6*m + 6 = 0. Calculate m.
-3, 1
Let f(l) be the first derivative of l**6/12 + 39*l**5/10 + 491*l**4/8 + 2149*l**3/6 + 744*l**2 + 640*l + 211. Solve f(g) = 0.
-16, -5, -1
Suppose -7/4*n**3 + 4*n**2 + 1/2 - 11/4*n = 0. Calculate n.
2/7, 1
Let c(d) be the first derivative of -4/3*d**5 + 5/6*d**2 + 5/2*d**4 - 20/9*d**3 + 0*d + 12 + 5/18*d**6. Factor c(z).
5*z*(z - 1)**4/3
Let d be 7*(18 - -3) - (-1)/(-3). Let o = 148 - d. Factor -o*f**4 + f**3 + 1/3*f**2 + 0 + 0*f.
-f**2*(f - 1)*(4*f + 1)/3
Let s(g) = -3*g**5 + g**4 + g**3 - 2*g**2. Let o(z) = 23*z**5 - 10*z**4 - 7*z**3 + 18*z**2. Let u(k) = 5*o(k) + 40*s(k). Find b such that u(b) = 0.
-2, -1, 0, 1
Let m = -281156133/91 + 3089578. Let n = 351/7 + m. Factor 2/13*t**4 + 0*t + 0 - n*t**3 + 2/13*t**2.
2*t**2*(t - 1)**2/13
Find l, given that -l + 0 - 1/3*l**4 + 1/3*l**2 + l**3 = 0.
-1, 0, 1, 3
Let b be 0/(4 - 0 - 6). Suppose b = 2*d + 9*d - 6*d. Factor 0*y + d + 1/2*y**5 + 0*y**2 - 1/2*y**4 + 0*y**3.
y**4*(y - 1)/2
Find p, given that -3/5*p**2 - p**3 + 12/5*p - 4/5 = 0.
-2, 2/5, 1
Let d = -1/133 + 559/21280. Let q(o) be the second derivative of 0*o**3 + 0 - 6*o + 0*o**2 + 0*o**4 + d*o**5. Factor q(u).
3*u**3/8
Let d(k) be the third derivative of -k**5/20 - 19*k**4/4 - 361*k**3/2 + 8*k**2. Factor d(f).
-3*(f + 19)**2
Factor -828/5*j - 181/10*j**2 - 162/5 - 1/2*j**3.
-(j + 18)**2*(5*j + 1)/10
Let f(a) = 121*a**2 - 15*a**4 + 10*a**3 + 7*a**4 - 13*a - 119*a**2. Let j(o) = -o**4 - o**2 - o. Let i(h) = -f(h) + 3*j(h). Factor i(m).
5*m*(m - 2)*(m - 1)*(m + 1)
Suppose 40*i - 35*i - 20 = 0. Let s(x) be the first derivative of 2/25*x**5 - 2/5*x**i - 8/5*x + 2/5*x**3 + 4/5*x**2 - 6. Factor s(t).
2*(t - 2)**2*(t - 1)*(t + 1)/5
Let a = 13397/34 + -394. Let t = a + 61/238. Factor -4/7 + t*n**2 + 2/7*n.
2*(n - 1)*(n + 2)/7
Let q(u) be the first derivative of -20*u**2 - 4/3*u**3 - 100*u - 2. What is j in q(j) = 0?
-5
Let h = -137 + 153. Factor -10*x - 5*x**2 + 5*x + 16*x**2 - h*x**2.
-5*x*(x + 1)
Determine o so that 5*o**2 - 5*o**2 - 37540 + 10*o + 2*o**2 + 37552 = 0.
-3, -2
Let s(z) be the second derivative of -z**5/100 + z**4/30 + 7*z**3/30 + 2*z**2/5 - 38*z - 3. What is g in s(g) = 0?
-1, 4
Suppose 0 = 91*l + 52*l - 286. Suppose -16/9*g + 4/9*g**l + 4/3 = 0. Calculate g.
1, 3
Let -1 - 25/6*s + 3/2*s**2 = 0. Calculate s.
-2/9, 3
Suppose -2*d + 2*l + 6 = 0, 4*d + 1315*l - 1313*l + 6 = 0. Solve -2/11*s**4 + 0*s**2 + 0 - 2/11*s**3 + d*s = 0.
-1, 0
Let j(x) be the second derivative of x**4/4 + 15*x**3/2 - x + 49. Find a, given that j(a) = 0.
-15, 0
Let d = 3841/30 + -128. Let p(i) be the second derivative of 0*i**2 + 0*i**3 - 1/75*i**6 + 1/105*i**7 + 0 + i + d*i**4 - 1/50*i**5. Factor p(z).
2*z**2*(z - 1)**2*(z + 1)/5
Let a(b) be the third derivative of b**8/3360 - b**7/252 + b**6/90 + 7*b**4/12 + 5*b**2. Let i(y) be the second derivative of a(y). Factor i(m).
2*m*(m - 4)*(m - 1)
Let k(o) be the third derivative of 0*o**3 - 3/40*o**4 - 7/100*o**5 + 0*o - 1/100*o**6 + 0 + 26*o**2. Find b, given that k(b) = 0.
-3, -1/2, 0
Factor 0 + 4/9*g**2 + 4/9*g.
4*g*(g + 1)/9
Suppose -1/4*k**5 - 3*k**4 - 5/2*k**2 + 0*k + 0 - 21/4*k**3 = 0. What is k?
-10, -1, 0
Let o(z) be the second derivative of -3*z**4/14 - 4*z**3/7 - 4*z**2/7 - 54*z. Factor o(x).
-2*(3*x + 2)**2/7
Let j(x) = -x**2 + x. Let z(c) = -32*c**2 - 61*c + 12. Let k(o) = -j(o) - z(o). Find g, given that k(g) = 0.
-2, 2/11
Let k(n) be the third derivative of 14*n**2 + 0 + 0*n - 1/27*n**3 - 1/540*n**6 + 1/270*n**5 + 1/108*n**4. Find q, given that k(q) = 0.
-1, 1
Let 1/2*d**2 - 1/2*d**3 - 6 + 4*d = 0. What is d?
-3, 2
Let m(l) = 3*l**2 - 2*l - 13. Suppose -h + j = -7, -3*h + 1 = j - 0*j. Let o(i) = 28*i**2 - 1 - 29*i**2 + h - i. Let s(d) = -m(d) - 4*o(d). Factor s(b).
(b + 3)**2
Let n(x) be the third derivative of 0 + 0*x + 0*x**3 + 0*x**4 + 11*x**2 + 2/15*x**5 - 1/30*x**6. Factor n(a).
-4*a**2*(a - 2)
Determine a, given that a**3 + 4/3*a**2 - 4/3*a**4 - 4/3*a + 1/3*a**5 + 0 = 0.
-1, 0, 1, 2
Let g(n) be the first derivative of n**4/10 - 6*n**3/5 + 3*n**2 - 14*n/5 + 93. Determine d so that g(d) = 0.
1, 7
Factor -28 - 144*z**2 - 46*z - 2*z**3 + 275*z**2 - 151*z**2.
-2*(z + 1)*(z + 2)*(z + 7)
Let d = 14 + -11. Find i, given that -45 - 2*i + 5*i**d + 45 - 3*i**2 = 0.
-2/5, 0, 1
Let g be (-406)/58 + (-50)/12*-2. Suppose g*v + 4/3*v**2 - 8/3 = 0. What is v?
-2, 1
Let v = -6092/3 - -2032. Let f(k) be the third derivative of 0 + k**2 + 1/120*k**5 + 0*k + v*k**3 - 1/6*k**4. Solve f(z) = 0.
4
Let p(m) be the third derivative of m**6/120 - m**5/12