that i(n) = 0.
-2, 0, 1
Let d = 2021/3549 + 1/507. Let g be (1 + 0)*(-3 + (2 - (-3 + 2))). Factor 2/7*q**2 + d*q + g.
2*q*(q + 2)/7
Suppose -9 = 39*s - 42*s. Let -3*z**3 - 3*z**s + 93*z**2 + 3*z**4 - 93*z**2 + 14*z**5 + 5*z**4 = 0. What is z?
-1, 0, 3/7
Let o = -49219 + 49222. Factor -448/13*u + 512/13 - 2/13*u**o - 62/13*u**2.
-2*(u - 1)*(u + 16)**2/13
Let z = -10059/10 + 1006. Let o(n) be the first derivative of -6 + z*n**4 + 1/5*n**2 + 0*n + 4/15*n**3. Factor o(u).
2*u*(u + 1)**2/5
Suppose 4*c - 15 + 39 = 0. Let i(b) = b**2 + 8*b + 16. Let s be i(c). Factor -3*w**3 - s*w**2 + w**2 + 7*w - 7*w.
-3*w**2*(w + 1)
Let i(a) be the second derivative of -3*a**5/40 + 3*a**4/4 - 11*a**3/4 + 9*a**2/2 + 2*a + 370. Factor i(n).
-3*(n - 3)*(n - 2)*(n - 1)/2
Suppose p + 11*v - 12*v + 1 = 0, -3*v + 15 = p. Factor -3*d**3 - 348*d**2 + 2*d**3 + 344*d**2 + 5*d**p.
4*d**2*(d - 1)
Let p(u) be the third derivative of -u**6/540 + u**5/180 + u**4/3 - u**3/6 + 86*u**2. Let l(q) be the first derivative of p(q). Solve l(k) = 0 for k.
-3, 4
Suppose -176 - 1970*d - 43 + 5*d**2 - 2433 + 677 = 0. Calculate d.
-1, 395
Let b(j) be the second derivative of j**4/20 + 198*j**3/5 + 58806*j**2/5 - 8*j + 74. Factor b(z).
3*(z + 198)**2/5
Let -215/2 - 1293/4*u**2 + 433/4*u**3 - 1/4*u**4 + 1291/4*u = 0. Calculate u.
1, 430
Let v(t) be the first derivative of -1/90*t**5 + 0*t**2 + 2/27*t**4 + 15*t - 24 - 1/9*t**3. Let l(q) be the first derivative of v(q). Factor l(z).
-2*z*(z - 3)*(z - 1)/9
Let z(o) = 31*o**3 + 21*o**2 - 10*o. Let j(c) be the first derivative of 45*c**2 + 0*c - 70*c**4 - 190/3*c**3 + 14. Let u(w) = -6*j(w) - 55*z(w). Factor u(y).
-5*y*(y + 1)*(5*y - 2)
Let k(s) be the third derivative of -s**5/360 - 31*s**4/144 + 8*s**3/9 - 1736*s**2. Factor k(p).
-(p - 1)*(p + 32)/6
Let h = 253/5 - 247/5. Let i = 12948 + -12948. Factor -h*w**3 + 6/5*w - 3/5*w**4 + i + 3/5*w**2.
-3*w*(w - 1)*(w + 1)*(w + 2)/5
Let v be 26*9/702*(1 + -1). Let t(k) be the second derivative of -3/8*k**4 + 0 + v*k**3 + k**2 - 15*k. Find s such that t(s) = 0.
-2/3, 2/3
Let o(y) be the first derivative of -y**3/6 - 53*y**2/6 - 68*y/3 + 881. Factor o(f).
-(f + 34)*(3*f + 4)/6
Let j(m) be the second derivative of 32*m**6/15 - 176*m**5/5 + 383*m**4/3 + 22*m**3/3 - 48*m**2 - 5*m + 354. Solve j(k) = 0.
-1/4, 1/4, 3, 8
Let l be -4 + (-30)/(-8) + 6/24. Let g(i) be the second derivative of 2*i + 0*i**4 + l*i**3 - 1/40*i**5 + 0 + 0*i**2. Determine x, given that g(x) = 0.
0
Let z be (-35)/(-27) + (-890)/(-24030). Factor 4/3*w**3 + 2/9*w**2 + 0 - z*w - 2/9*w**4.
-2*w*(w - 6)*(w - 1)*(w + 1)/9
Suppose -3*p + 47 = 2. Let o be (4 - (1 - 2) - 2) + -1. Factor p*w**o + 1 + 9*w - 11*w - 6*w**3 + 2 - 10*w.
-3*(w - 1)**2*(2*w - 1)
Let i(y) be the third derivative of -y**6/40 + 11*y**5/5 - 389*y**4/8 - 217*y**3 + 9583*y**2 + y. Let i(s) = 0. What is s?
-1, 14, 31
Let r be 1694/(-1452) + (-923)/(-30). Let o be (-2)/(-5) - 238/(-35). Factor r*q**3 + 24*q**4 + 16/5*q + 16*q**2 + o*q**5 + 0.
4*q*(q + 1)**2*(3*q + 2)**2/5
Let f be ((-9)/(-119))/((-9648)/(-218688)). Let -1/7*n**5 + 0 - f*n**2 + 0*n + n**4 - 4/7*n**3 = 0. Calculate n.
-1, 0, 2, 6
Suppose 0 = -4*i + 8, -5*m = -i + 14 - 282. Suppose p - m = 5*g - 0*g, 2*g - 216 = -4*p. Find t, given that -t + p*t**3 - 49*t**3 - 25*t**2 + 21*t = 0.
0, 1, 4
Factor -26*l**2 + 10874515 + 59*l**2 - 1240*l - 31*l**2 - 8260*l + 406735.
2*(l - 2375)**2
Let i be (-4)/(-54) - (3 + 1120/(-189)). Let p(l) be the second derivative of 39*l + 2/9*l**4 + 1/9*l**i + 0 + 1/30*l**5 - 2*l**2. Determine h so that p(h) = 0.
-3, -2, 1
Suppose 3*w + 2*h = -3*h + 6, 0 = -h. Let l(u) be the second derivative of 1/11*u**3 - 1/66*u**4 + 28*u + 0 - 2/11*u**w. Factor l(f).
-2*(f - 2)*(f - 1)/11
Let y = -659579/13 + 50737. Let 2/13*n**3 + 0 + 0*n**2 - y*n = 0. Calculate n.
-1, 0, 1
Let j(a) be the first derivative of 4/5*a**5 + 1200*a**3 + 0*a**2 + 12 + 0*a - 60*a**4. Suppose j(g) = 0. What is g?
0, 30
Let -2/7*x**3 - 51810/7*x - 197192/7 - 636/7*x**2 = 0. What is x?
-157, -4
Solve 122/7*f + 2*f**4 - 48/7 - 86/7*f**2 - 2/7*f**3 = 0.
-3, 1, 8/7
Solve 180/7*g**2 + 3/7*g**5 - 33/7*g**3 + 0 + 300/7*g - 18/7*g**4 = 0 for g.
-2, 0, 5
Let n(x) be the second derivative of x**7/14 + 3*x**6/5 - 3*x**5/20 - 3*x**4/2 - 1587*x. Find f such that n(f) = 0.
-6, -1, 0, 1
Let w(v) = -9*v - 108. Let r be w(-12). Find i, given that -30*i + 48 + 5*i**2 - 8 + r = 0.
2, 4
Let j(z) be the second derivative of z**4/20 - 64*z**3/5 - 792*z**2/5 - 7047*z. Factor j(n).
3*(n - 132)*(n + 4)/5
Let l(j) be the third derivative of j**7/1680 - 37*j**6/960 - j**5/3 - 41*j**4/48 + 2*j**2 + 9*j - 83. Factor l(a).
a*(a - 41)*(a + 2)**2/8
Let p(n) = n**3 + 21*n**2 + 131*n + 2222. Let b be p(-20). Solve -8/9 - 2/3*a + 2/9*a**b = 0.
-1, 4
Let w(k) be the second derivative of 6*k - 11/54*k**4 - 1/27*k**3 + 1/90*k**5 - 21 + 11/9*k**2. Suppose w(z) = 0. Calculate z.
-1, 1, 11
Let q = -3787 + 3789. Let j(z) be the third derivative of -1/200*z**6 - 2/5*z**4 - 15*z**q + 0*z + 0 + 0*z**3 - 2/25*z**5. Let j(u) = 0. What is u?
-4, 0
Let m(a) = 2*a**2 - 764*a + 1300. Let t(h) = -8*h**2 + 1525*h - 2600. Let z(p) = -5*m(p) - 2*t(p). Factor z(g).
2*(g + 130)*(3*g - 5)
Let g(l) be the third derivative of -l**8/1512 - 2*l**7/63 - 7*l**6/15 - 196*l**5/135 + 2223*l**2. Factor g(a).
-2*a**2*(a + 2)*(a + 14)**2/9
Determine g, given that 0*g + 0 + 3/5*g**3 - 279/5*g**2 = 0.
0, 93
Factor -1/3*s**2 + 0 + 15*s + 1/3*s**4 - 15*s**3.
s*(s - 45)*(s - 1)*(s + 1)/3
Let h(w) be the third derivative of w**6/210 - 11*w**5/35 - 24*w**4/7 - 296*w**3/21 + 3382*w**2. Find x, given that h(x) = 0.
-2, 37
Let h = -4263 + 4265. Let p(j) be the first derivative of 0*j - 16 + 0*j**3 - 1/8*j**h + 1/16*j**4. What is k in p(k) = 0?
-1, 0, 1
Suppose q - 3 = 23*h - 24*h, 0 = -h - 5*q + 7. Suppose h*k + 2*t - 26 = -28, -5*t - 23 = -4*k. What is c in 40/9*c - 200/9 - 2/9*c**k = 0?
10
Let z be (2 + (-7)/3)/((-12)/(-960)). Let y = -70/3 - z. Let -8/3*n + 0 - 16/3*n**2 + y*n**3 = 0. What is n?
-2/5, 0, 2
Let f be (6/18)/((-5)/(1080/(-252))). Determine d, given that f*d - 2/7*d**3 - 2 + 2*d**2 = 0.
-1, 1, 7
Let c(z) be the first derivative of 2*z**3/3 + 390*z**2 + 76050*z + 794. Suppose c(w) = 0. Calculate w.
-195
Let a = -918/341 + 3436/1023. Factor 50 + 260/3*i + 136/3*i**2 + 28/3*i**3 + a*i**4.
2*(i + 1)*(i + 3)*(i + 5)**2/3
Let o(q) = -18*q**2 + 1040*q + 140490. Let i(h) = -h**2 - h + 2. Let v(b) = -20*i(b) + o(b). Factor v(d).
2*(d + 265)**2
Let g(j) be the first derivative of 0*j + 0*j**2 - 1/7*j**4 - 82 - 8/21*j**3. Factor g(w).
-4*w**2*(w + 2)/7
Let n(x) be the second derivative of 7*x**6/15 - 9*x**5/14 - 149*x**4/21 - 8*x**3/7 + 5895*x. Let n(p) = 0. What is p?
-2, -4/49, 0, 3
Let d(r) = 4*r**2 - 10 - 36*r + 3 + 2. Let w(f) = 6*f**2 - 54*f - 8. Let u(c) = -8*d(c) + 5*w(c). Let u(g) = 0. Calculate g.
0, 9
Suppose 2*v + 2*r = 8, -3*r = -5*v + r - 25. Let j be (v - 1)/(-1 - 0). Factor -8*u + 20 + 32*u + u + 10*u**3 + 35*u + 45*u**j.
5*(u + 2)**2*(2*u + 1)
Let u(h) = 5*h**2 - 140*h - 178. Let t(j) = -j**2 + 28*j + 35. Let w(y) = -22*t(y) - 4*u(y). Suppose w(a) = 0. Calculate a.
-1, 29
Suppose 198 = -183*c + 249*c. Factor r + 1 - 1/4*r**c - 1/4*r**2.
-(r - 2)*(r + 1)*(r + 2)/4
Let i = -43592 - -217972/5. Determine u, given that 27/5*u**3 + 36/5*u - i + 15*u**2 = 0.
-2, -1, 2/9
Let u(z) = -13*z - 238. Let m be u(-22). Let a be 36/450 - m/(-25). Determine f so that 3/5*f + 1/5*f**a + 2/5 = 0.
-2, -1
Suppose 4*m = -4*x + 36, 0 = -18*m + 16*m - 8. Let l be (-91)/x - (-115)/15. Factor 36 + 14/3*f**3 - 6*f**2 - 18*f - l*f**4.
-2*(f - 3)**3*(f + 2)/3
Let x(m) be the second derivative of -m**6/600 - m**5/100 + 11*m**2 - 87*m. Let p(c) be the first derivative of x(c). Suppose p(k) = 0. What is k?
-3, 0
Determine p, given that -3/5*p**2 - 11832588/5 + 11916/5*p = 0.
1986
Let p(x) be the second derivative of -x**5/20 + 19*x**4/6 + 209*x**3/6 + 129*x**2 - 7103*x. Suppose p(o) = 0. What is o?
-3, -2, 43
Factor 134 - 1/3*p**3 + 1/3*p - 134*p**2.
-(p - 1)*(p + 1)*(p + 402)/3
Let l = 414 - 398. Factor 4*r**5 - 14*r**2 - 304*r**4 - l*r**3 - 34*r**2 + 316*r**4.
4*r**2*(r - 2)*(r + 2)*(r + 3)
Let r = -118026 - -472119/4. Factor -r*f**3 + 175/4*f + 45/4 + 115/4*f**2.
-5*(f - 9)*(f + 1)*(3*f + 1)/4
Let y(b) = -4*b**3 +