 = -5*g. Let v(x) = x**3 - 8*x**2 + 7*x + 3. Let s be v(7). Factor 41*h**g - h**2 - 39*h**s - 3*h**2.
2*h**2*(h - 2)
Let o(x) be the third derivative of x**6/780 + x**5/65 - 28*x**4/39 - 101*x**2 - 34. Factor o(l).
2*l*(l - 8)*(l + 14)/13
Let i(c) = 4*c**3 + 1940*c**2 - 11462*c + 16774. Let b(j) = j**3 + 431*j**2 - 2548*j + 3728. Let h(k) = -44*b(k) + 10*i(k). Factor h(z).
-4*(z - 103)*(z - 3)**2
Let r be (12/22)/3 - 3975/(-583). Suppose 13*l = -r*l + 80. Suppose 4/5*g**2 + 0*g - 16/5*g**l + 12/5*g**3 + 0 = 0. What is g?
-1/4, 0, 1
Let u be ((-5)/15)/(2/24). Let p be (-9)/(90/u) + 54/15. Determine z so that p*z + 7*z**2 - 14*z + 8*z**2 - 5*z**4 = 0.
-2, 0, 1
Let k = 701176 + -2804679/4. Solve 6*n - 1/4*n**2 + k = 0 for n.
-1, 25
Let d = -291133 - -291135. Suppose 15/2*b**3 - 33/2*b**4 + 45/2*b**d - 6 + 9/2*b**5 - 12*b = 0. What is b?
-1, -1/3, 1, 2
Let n(a) be the third derivative of 104*a**2 + 11/64*a**4 - 1/48*a**5 - 3/4*a**3 + 0 + 1/960*a**6 + 0*a. Factor n(t).
(t - 4)*(t - 3)**2/8
Suppose -4*w + 31 = h, -2*w - 15 - 10 = -h. Let o = 31 - h. What is j in 3*j + 13*j**2 + 17*j - 10*j**3 - 10*j**5 + 0*j**2 + 7*j**2 + 5 - 25*j**o = 0?
-1, -1/2, 1
Let x(b) = -9927*b + 50. Let g be x(-5). Determine k, given that g*k**3 - 49683*k**3 - 3*k**2 + 3 - 3 - 5*k**2 = 0.
0, 4
Let c be (-3 + (-17)/(-6))*4*1446/(-3374). Let 12/7*m**3 + 0 + 80/7*m**2 - 16/7*m**4 + 50/7*m + c*m**5 = 0. Calculate m.
-1, 0, 5
Solve 184 - 84*x - 12*x**4 + 32 - 174*x**2 + 567*x**5 + 117*x**3 - 570*x**5 = 0.
-9, -1, 2
Suppose -3*s - 5*c + 10 = -3*c, -3*c = -4*s + 19. Let 3*n**2 - s*n**5 + 7*n**2 - 16*n**3 - 4*n**3 - 2*n**2 + 16*n**4 = 0. What is n?
0, 1, 2
Let j(u) be the third derivative of -u**5/270 + u**4/3 - 12*u**3 - 16*u**2 - 8*u. Let j(g) = 0. What is g?
18
Let l(w) = -w**2 - 54*w + 18042. Let p be l(-164). Solve 2/3*z - 22/3 - 2/3*z**3 + 22/3*z**p = 0 for z.
-1, 1, 11
Let d be (-48)/32*3236/6. Let m = d - -1619/2. Factor -m - 1/2*x + 1/2*x**2 + 1/2*x**3.
(x - 1)*(x + 1)**2/2
Let w(u) be the second derivative of -6 - 15*u**2 + 5/12*u**4 + 4*u + 25/6*u**3. Factor w(q).
5*(q - 1)*(q + 6)
Let z = -9 - -21. Factor 23*l**3 - z*l**2 + 36*l - 25*l**3 - 16 - 6*l.
-2*(l - 1)**2*(l + 8)
What is n in 48 - 140/3*n + 26/3*n**2 = 0?
18/13, 4
Let i be (0 + -2)/((-26)/247). Factor i*r**3 - 400 - 23*r**3 + 76*r**2 + 0*r**3 - 320*r.
-4*(r - 10)**2*(r + 1)
Factor 2550*i**3 + 16000*i**2 + 15885*i + 56250 + 21623*i - 4*i**5 - i**5 + 10617*i + 190*i**4 + 10*i**5.
5*(i + 5)**4*(i + 18)
Let y be -6*1/((-6)/4). Suppose -q + 0 = -y. Factor j**2 + 2*j**2 + 3*j**4 - j**5 - 3*j**3 - 6*j**2 + q*j**5.
3*j**2*(j - 1)*(j + 1)**2
Let d(l) be the second derivative of 0*l**3 - 130*l + 0*l**2 + 0 + 1/60*l**5 - 1/4*l**4. Determine m, given that d(m) = 0.
0, 9
Let x(h) be the second derivative of -5/7*h**3 - 3/28*h**4 - 2*h + 3/35*h**5 + 1/70*h**6 + 12/7*h**2 - 31. Find n such that x(n) = 0.
-4, -2, 1
Let j(s) be the second derivative of -s**7/21 - s**6/6 - 7*s**5/40 + s**4/48 + s**3/6 + s**2/8 - 3013*s. Let j(o) = 0. Calculate o.
-1, -1/2, 1/2
Suppose 327*s - 649 - 986 = 0. Let w(d) be the third derivative of 0 + 1/9*d**4 - 49*d**2 + 0*d + 1/630*d**s + 28/9*d**3. Factor w(q).
2*(q + 14)**2/21
Suppose -6*d + 59 = 47. Solve -l**2 + l**3 + 110 + 116 - d*l - 226 = 0.
-1, 0, 2
Let o(t) be the first derivative of 58*t + t**2 - 1/2*t**4 - 58/3*t**3 + 149. Find w such that o(w) = 0.
-29, -1, 1
Let i be (14/25)/((-4354)/(-55980)). Factor -i*z - 8/5 - 14/5*z**2 + 9/5*z**3 + 4/5*z**4.
(z - 2)*(z + 2)**2*(4*z + 1)/5
Let i = -206 - -208. Suppose 1309*x**3 - 4 - 20*x - 1297*x**3 + 20*x**i + 8*x - 16*x**4 = 0. Calculate x.
-1, -1/4, 1
Let u be ((-64 - 5453/(-57)) + -34)/(-1 - (-47)/54). Factor u*l**2 + 78*l + 169/2.
(6*l + 13)**2/2
Solve -733/4*j + 367/2*j**3 + 1/2*j**2 + 365/4*j**4 - 1/4*j**5 - 367/4 = 0 for j.
-1, 1, 367
Let f(r) = 6*r**3 - 2*r**2 - r - 1. Let v(o) = 2*o**3 + 7*o**2 - 12*o - 1. Let x(a) = 2*f(a) + v(a). Solve x(y) = 0.
-1, -3/14, 1
Let v(r) be the first derivative of -r**5/80 + r**4/2 - r**2 - 5*r - 30. Let k(u) be the second derivative of v(u). Factor k(n).
-3*n*(n - 16)/4
Determine x so that -2555 + 3*x**2 - 640656*x + 827 + 640812*x + x**2 = 0.
-48, 9
Factor 0 + 33/2*n + 9*n**3 + 101/4*n**2 + 1/4*n**4.
n*(n + 1)*(n + 2)*(n + 33)/4
Let l(h) be the first derivative of -289*h**5/15 + 170*h**4/3 - 502*h**3/9 + 20*h**2 - 3*h + 92. Factor l(t).
-(t - 1)**2*(17*t - 3)**2/3
Let w(v) be the third derivative of v**8/1344 - 2*v**7/105 - 37*v**6/480 + v**5/15 + 3*v**4/8 + 8*v**2 - 542*v. Determine j so that w(j) = 0.
-2, -1, 0, 1, 18
Let h(a) = -5*a + 17. Let m be h(3). Suppose m*t + 1 = 7. Solve -5*f**t - 36*f**2 + f**4 - 2*f + 4 + f**5 + 6*f + 31*f**2 = 0.
-2, -1, 1, 2
Let x(l) be the first derivative of 13*l**2 + 1/15*l**3 + 845*l + 113. Let x(n) = 0. Calculate n.
-65
Let z = 969 - 1424. Let c be (-923)/z*1 + 6/(-14). Solve 6/5*t**3 + 0 - 2/5*t**5 + 8/5*t**2 - c*t - 4/5*t**4 = 0 for t.
-2, 0, 1
Suppose -a = 4*k - 1, -59*a = 8*k - 63*a - 68. Determine d so that -3/4*d**5 - d - 2*d**2 + 13/4*d**k + 0 + 1/2*d**4 = 0.
-2, -1/3, 0, 1, 2
Let j(v) be the first derivative of v**3/3 + 5*v**2 + 16*v - 819. Factor j(f).
(f + 2)*(f + 8)
Let g be 9/6*((-9)/(-27)*-1)/(-210). Let i(v) be the third derivative of -g*v**6 + 0*v + 5/28*v**4 - 1/35*v**5 + 0 + 41*v**2 - 8/21*v**3. Factor i(f).
-2*(f - 1)**2*(f + 8)/7
Let i be -2*(50/3)/1*-3. Find m such that i + 25*m - 99*m + 10*m**5 - 196*m**2 + 200*m**3 + 96*m**4 - 136*m = 0.
-5, -1, 2/5, 1
Let v(j) be the third derivative of -j**7/840 + j**6/60 + j**5/24 - j**4/12 - 3*j**3/8 - 3973*j**2. Determine w so that v(w) = 0.
-1, 1, 9
Let w be -234 + 218 - (-1)/(10/172). Let x be (2/(-3))/(15/(-9)). Let 4/5*v - x*v**2 + w = 0. Calculate v.
-1, 3
Let n(x) = -297*x**2 - 618*x - 6. Let d(u) = -300*u**2 - 617*u - 6. Let c(v) = -3*d(v) + 2*n(v). What is s in c(s) = 0?
-2, -1/102
Let b(t) be the first derivative of t**3/4 - 2001*t**2/8 + 999*t/2 + 2437. Factor b(d).
3*(d - 666)*(d - 1)/4
Let r(o) = -o**3 + 8*o**2 + 2*o - 8. Let f be r(8). Let p(u) = 12*u - 75. Let c be p(f). Factor -16 + 7*a**2 + 8*a**2 - c*a**2 - 28*a.
-2*(a + 4)*(3*a + 2)
Suppose k - 5*m = 101, -95 = -k + 6*m - 3*m. Factor -6 - 46 + k + 4*c - 36*c - 2*c**2.
-2*(c - 1)*(c + 17)
Let o(i) be the third derivative of i**6/160 + 337*i**5/40 + 113569*i**4/32 - 4074*i**2 - 2*i. Let o(p) = 0. What is p?
-337, 0
Let o(m) = -4*m**3 + 43*m**2 - 22*m - 20. Let n be o(10). Let d be (-512)/88 + 6 - n/(-154). Factor -4/7*a + 0*a**2 + 2/7 + d*a**3 - 2/7*a**4.
-2*(a - 1)**3*(a + 1)/7
Suppose -j + 3 = 5*l + 5, 3*j + 238 = 202. What is w in -10/3 - 2/9*w**4 - 4/3*w**3 + 0*w**l + 44/9*w = 0?
-5, -3, 1
Determine b so that -760384/5*b - 1/5*b**3 + 0 + 1744/5*b**2 = 0.
0, 872
Suppose 3*u + 2*s = 5*s + 39, 21 = u - 5*s. Factor -8*a**4 - 206*a - a**5 - 193*a + 14*a + u*a**3 + 96*a**2 + 196 + 15*a**3 + 76*a**2.
-(a - 4)*(a - 1)**2*(a + 7)**2
Let c(r) be the first derivative of 3/5*r**5 - 3*r**2 - 4*r**3 + 3/2*r**4 - 7 + 9*r. Factor c(p).
3*(p - 1)**2*(p + 1)*(p + 3)
Let m = -470 + 273. Let f = m - -199. Factor 2/3*q**3 - 2/3*q + 0 + 0*q**f.
2*q*(q - 1)*(q + 1)/3
Suppose 13*j - 30 = 230. Suppose t - 9 = 27. Factor 39 - 6*u**3 - 15 + t*u - 16 - j + 9*u**4 - 27*u**2.
3*(u - 1)**2*(u + 2)*(3*u - 2)
Factor 0*y - 2 + 1/2*y**2.
(y - 2)*(y + 2)/2
Find y such that -168/11 + 16*y + 2/11*y**3 - 50/11*y**2 = 0.
2, 21
Let n(l) be the first derivative of 4*l**4/5 + 28*l**3/5 + 58*l**2/5 + 24*l/5 + 1518. Find b, given that n(b) = 0.
-3, -2, -1/4
Suppose -24/5*c + 12 - 3/5*c**2 = 0. Calculate c.
-10, 2
Suppose -4*i - 2*k = -344, -4*i + 353 = -k - 3. Solve 94*p**2 - i*p**2 - 30 - 9*p**3 + 117*p - 84*p**2 = 0.
-10, 1/3, 1
Let m = -1832 - -1337. Let g = 495 + m. Find s, given that 6/7*s + g - 2/7*s**2 = 0.
0, 3
Factor 47*l**2 + 55 - 186 - 6*l**3 - l**3 + 15*l - 67 + 25*l**4 - 26*l**4.
-(l - 3)**2*(l + 2)*(l + 11)
Suppose 0 - 2/13*p**3 + 4128/13*p + 2060/13*p**2 = 0. What is p?
-2, 0, 1032
Suppose 0 = 142*r - 131*r - 440. Factor -r*o - 949 - 16*o**2 + 929 + o**2.
-5*(o + 2)*(3*o + 2)
Let c be (-3)/(-15)*(-396)/1276. Let d = c - -471/580. Factor d*v - 1/2*v**3 - 1/4*v**5 - 3/4*v**4 + 1/2*v**2 + 1/4.
-(v - 1)*(v + 1)**4/4
Let t(y) be the third derivative of y**6/180 + 4*