= -2*q. Find m such that 213*m - c*m + 192*m + 3*m**2 = 0.
0, 10
Let z(g) be the second derivative of -g**6/180 - 4*g**5/15 + 11*g**3/6 + 3*g**2/2 + 34*g. Let s(v) be the second derivative of z(v). Factor s(p).
-2*p*(p + 16)
Let c(m) be the first derivative of 3*m**5/25 - 2*m**4/5 - 71*m**3/5 - 7*m**2 + 5893. Factor c(f).
f*(f - 10)*(f + 7)*(3*f + 1)/5
Let f be (7*108/(-1701))/((-16)/72). Let 22/5*p - 1/10*p**f - 242/5 = 0. What is p?
22
Let y = -96 - -112. Factor 6*l**2 - 2 - y*l - 2*l**2 - 22 - 4*l.
4*(l - 6)*(l + 1)
Let 3*o**2 + 141 + 2259/4*o = 0. Calculate o.
-188, -1/4
Suppose -1561*w + 825 = -1286*w. Factor 1130/3*g**w - 1024/3 - 1408*g - 53*g**4 - 1904/3*g**2 + 7/3*g**5.
(g - 8)**3*(g + 1)*(7*g + 2)/3
Let r(f) = -f**3 + 2*f**2 + 4*f - 1. Let u be r(3). Let i be (-4)/(44/(-33)) + 488/(-168). Factor -10/21*c**3 - 2/7*c**u + 2/21*c**5 - i*c**4 + 0*c + 0.
2*c**2*(c - 3)*(c + 1)**2/21
Let h(m) be the first derivative of -m**8/13440 + m**7/3360 + m**6/576 - m**5/160 + 20*m**3 - 9. Let b(n) be the third derivative of h(n). Factor b(p).
-p*(p - 3)*(p - 1)*(p + 2)/8
Let k(a) = -285*a + 2591. Let u be k(9). Let d(p) be the first derivative of 1/5*p**4 - u - 2/5*p**2 + 2/25*p**5 + 0*p - 2/15*p**3. Factor d(v).
2*v*(v - 1)*(v + 1)*(v + 2)/5
Suppose 0 = -157*z + 2688 - 2060. Find y, given that -224/3*y - 100/3*y**2 - z*y**3 - 64/3 = 0.
-4, -1/3
Let f be 7*((-4)/(-26) - 2064/(-1456)). Suppose 2*j = t - 6, -12*j = 4*t - f*j + 3. Solve 0 - 1/3*y**2 + t*y + 2/3*y**3 - 1/3*y**4 = 0 for y.
0, 1
Let y be (19 + 296/(-16))/4. Let a(v) be the first derivative of -1/4*v**5 - 1/4*v + 1/2*v**3 + 21 - 1/8*v**4 - y*v**2 + 1/8*v**6. Factor a(p).
(p - 1)**3*(p + 1)*(3*p + 1)/4
Factor -22*a**2 + 6*a**2 + 3*a**2 - 56 - 6*a + 4*a**2 + 11*a**2.
2*(a - 7)*(a + 4)
Let j(i) = 31*i**3 + 753*i**2 + 4347*i + 6462. Let o(g) = 17*g**3 + 377*g**2 + 2173*g + 3230. Let r(s) = 5*j(s) - 9*o(s). Factor r(w).
2*(w + 3)**2*(w + 180)
Let p be (290/116)/((-2)/8*-14). Let i(y) be the second derivative of -14*y - 9/7*y**2 + p*y**3 - 1/6*y**4 + 0 + 1/70*y**5. Factor i(n).
2*(n - 3)**2*(n - 1)/7
Suppose 1 = 10*o - 19. What is t in -o*t**3 + 5*t**3 + 2*t**3 + 25 + 43*t**2 - 28*t**2 - 45*t = 0?
-5, 1
Let i(c) be the third derivative of 0*c - 121/12*c**4 - 11/3*c**5 + 0 - 5/12*c**6 + 0*c**3 - 95*c**2. Factor i(j).
-2*j*(5*j + 11)**2
Determine k, given that 437*k**2 - 914*k**2 + 400 + 473*k**2 = 0.
-10, 10
Let n be (-671)/(-244)*(-56)/(-231). Let c be 2 - (-1)/((-3)/(-4)). Factor 8/3 - c*h + n*h**2.
2*(h - 4)*(h - 1)/3
Let g(v) be the second derivative of v**5/50 - 59*v**4/15 + 247*v**3 - 12996*v**2/5 + 26*v + 22. Let g(d) = 0. Calculate d.
4, 57
Solve -48818802*k - 467 - 77 + 48819446*k - k**4 - 240*k**2 + 29*k**3 = 0.
2, 8, 17
Let m be -1 + (24/5 - 1). Let a be (-22)/(-11) + (-2880)/(-700) + 12/42. Determine h, given that m*h**3 + 8/5 + 2*h**2 - a*h = 0.
-2, 2/7, 1
Solve 1/2*v**2 - 2 + 0*v = 0 for v.
-2, 2
Let f(y) = 31*y**3 - 4*y**2 + 3*y + 5. Let a be f(-1). Let o be (-468)/(-110) - 18/a. Factor 8/5 - o*h + 26/5*h**2 - 12/5*h**3 + 2/5*h**4.
2*(h - 2)**2*(h - 1)**2/5
Let w(t) = -18*t**2 + 258*t + 590. Let g be w(-2). Factor -2/3 + 17/3*z**g + 5*z.
(z + 1)*(17*z - 2)/3
Suppose 6*p + 33 = 57. Suppose c + p*y + 29 = 6*c, -y + 19 = 4*c. Factor 4*v**4 + 0*v**2 - 5/3*v**c - 4/3*v**3 + 0 + 0*v.
-v**3*(v - 2)*(5*v - 2)/3
Let l(k) = -k**3 - 5*k**2 - 4*k - 6. Let x be l(-4). Let n = 13 + x. Let 6 + 4*i**3 + n*i**3 + 0*i**3 - 3*i**2 - 3*i**4 - 2*i**3 - 9*i = 0. What is i?
-1, 1, 2
Let t(j) be the third derivative of -13*j**8/50400 - j**7/12600 - 7*j**5/60 - j**3/6 + 85*j**2. Let n(a) be the third derivative of t(a). Factor n(h).
-2*h*(13*h + 1)/5
Let m = 254 + -250. Factor -a**2 - 4*a**2 + 5*a**m + 10*a**3 + 384*a - 394*a.
5*a*(a - 1)*(a + 1)*(a + 2)
Let q(c) be the third derivative of -1/15*c**6 + 1/5*c**5 + 1/105*c**7 + 95*c**2 + 1/3*c**3 + 0*c - 1/3*c**4 + 0. Suppose q(h) = 0. What is h?
1
Let n be 10/(-440)*-24 - (168/66 - 2). Suppose n + 3/2*i**4 + 5/2*i**3 + 1/2*i**2 - 1/2*i = 0. What is i?
-1, 0, 1/3
Let c(n) be the first derivative of 2*n**3/3 + 663*n**2 - 2660*n + 13475. Determine v so that c(v) = 0.
-665, 2
Determine b so that 120/7 + 3/7*b**3 - 102/7*b - 3*b**2 = 0.
-4, 1, 10
Let j = -353 + 373. Let z be ((-10)/(-6))/((-6)/((-1296)/j)). Factor 54 + z*g + 3/2*g**2.
3*(g + 6)**2/2
Let v(n) be the second derivative of n**7/357 - 6*n**5/85 + 8*n**4/51 + 1866*n. Find b such that v(b) = 0.
-4, 0, 2
Suppose -301*o = 537*o - 1083 - 1431. Factor -25/2*z**4 - 1/2*z - 35/2*z**o + 0 - 11/2*z**2.
-z*(z + 1)*(5*z + 1)**2/2
Suppose -307 = 4*h - 311. Let z(v) = -10*v**2 - 135*v - 840. Let u(o) = -o**2 - o + 1. Let r(q) = h*z(q) - 5*u(q). Solve r(p) = 0.
-13
Let b(w) = 0*w**2 + w**2 + 120*w - 111*w - 36. Let o be b(-12). Suppose -15/4*j**4 + 0*j**3 + 0 + o*j**2 + 0*j - 5/4*j**5 = 0. Calculate j.
-3, 0
Factor 80 - 52/3*t - 10*t**2 - 2/3*t**3.
-2*(t - 2)*(t + 5)*(t + 12)/3
Let g(y) be the first derivative of y**6/90 + 79*y**5/120 - 5*y**4/6 + 46*y**3/3 + 10. Let q(a) be the third derivative of g(a). Factor q(l).
(l + 20)*(4*l - 1)
Let c(l) be the second derivative of 0 + 1/70*l**5 - 5/42*l**4 - 89*l + 2/21*l**3 + 8/7*l**2. Solve c(y) = 0 for y.
-1, 2, 4
Let t be 7/8 + (-35811)/41520. Let f(z) be the second derivative of -3/16*z**4 + 0*z**3 + t*z**6 + 0 + 0*z**2 + 39*z + 3/160*z**5. Factor f(d).
3*d**2*(d - 2)*(d + 3)/8
Let o = -10 + 29. Let i be 1/(4 + o/(-5)). What is r in -10*r + 14*r**3 + r**3 + 5*r**4 + 12*r**5 - i*r**2 - 17*r**5 = 0?
-1, 0, 1, 2
Let n be (392/112)/(1/(-2)) + 695. Suppose -14*t = 660 - n. Factor -2/5 + 1/5*x**3 + 2/5*x**t - 1/5*x.
(x - 1)*(x + 1)*(x + 2)/5
Let p = 269 - 251. Suppose 0 = 3*u + m - 16, -19*m + p*m = -4*u + 19. Factor z**3 - 1/2 + 1/4*z**u + z**4 - 5/4*z - 1/2*z**2.
(z - 1)*(z + 1)**3*(z + 2)/4
Suppose -14*d + 8*d = 1884. Let f = -311 - d. Let -1 + b**2 + 1/2*b**f - 1/2*b = 0. Calculate b.
-2, -1, 1
Let k(p) be the second derivative of -p**4/18 + 3*p**3 + 238*p**2/3 - 7226*p. Factor k(g).
-2*(g - 34)*(g + 7)/3
Suppose 0 = 2*v - 4*o + 3*o - 62, 4*o = 4*v - 124. Factor 76*c + 43*c - 33*c**2 + 2*c**5 + 44*c - 24*c**3 - 35*c - v*c**2 + 8*c**4.
2*c*(c - 2)**2*(c + 4)**2
Let -5 - 5*k**2 - 25/2*k + 10*k**3 + 5/2*k**5 + 10*k**4 = 0. What is k?
-2, -1, 1
Let t = 1581464 - 86984457/55. Let j = -357/5 - t. Determine c so that 24/11*c - j*c**4 - 26/11*c**2 + 12/11*c**3 - 8/11 = 0.
1, 2
Let m(v) = v**4 + v**3 - v**2 - 2. Suppose 5*w + f + 2*f = 1, 4*w - 4 = -4*f. Let l(p) = 4*p**4 + 4*p**3 - 6*p**2 - 12. Let i(u) = w*l(u) + 6*m(u). Factor i(r).
2*r**3*(r + 1)
Let f(q) be the first derivative of -q**4/6 - 26*q**3 - 1521*q**2 - 39546*q - 92. Factor f(y).
-2*(y + 39)**3/3
Let i(u) = 86*u**2 + 554*u + 239. Let v be i(-6). Suppose 7/5*h**2 - v*h - 8/5 = 0. What is h?
-1/7, 8
Let b = -52 - -57. Suppose x = -5*v + 32, x + 13 = 5*x - 3*v. Factor -2*g**4 - x*g**3 - 4*g**2 - 109*g**5 - 111*g**b + 221*g**5.
g**2*(g - 4)*(g + 1)**2
Find k, given that -4/7*k**3 + 0 - 1028/7*k**2 + 296*k = 0.
-259, 0, 2
Let j(f) = f**4 - 6*f**3 - 57*f**2 + 20*f + 55. Let c(v) = v**4 - 5*v**3 - 51*v**2 + 21*v + 54. Let w(q) = 5*c(q) - 4*j(q). Determine b, given that w(b) = 0.
-5, -1, 2, 5
Solve 1/4*u**2 + 594441 - 771*u = 0.
1542
Suppose 2*b + 15 = 7*b. Let c = -1555 - -1569. Factor 28*y + b*y**3 + c*y**2 + 11*y - 12*y + 4*y**2.
3*y*(y + 3)**2
Let b(t) = -11*t**4 - 49*t**3 - 177*t**2 - 261*t. Let l(u) = 17*u**4 + 74*u**3 + 265*u**2 + 392*u. Let r(o) = -14*b(o) - 9*l(o). Suppose r(n) = 0. Calculate n.
-14, -3, 0
Find o, given that 0 + 0*o + 0*o**2 - 1280*o**3 + 64*o**4 - 4/5*o**5 = 0.
0, 40
Let l(n) be the first derivative of n**3/6 - 13*n**2 + 51*n/2 + 479. Let l(b) = 0. Calculate b.
1, 51
Let a(q) = q**2 + 146*q + 150. Let b(s) be the third derivative of -3*s**4 - 25*s**3/2 - 215*s**2. Let w(v) = -3*a(v) - 5*b(v). Factor w(p).
-3*(p + 1)*(p + 25)
Factor 54740/3*p + 4/3*p**3 - 928/3*p**2 - 105800/3.
4*(p - 115)**2*(p - 2)/3
Let o(m) be the first derivative of 7/15*m**2 + 4/5*m + 45 + 2/45*m**3. Factor o(i).
2*(i + 1)*(i + 6)/15
Let h(u) be the first derivative of -2*u**5/25 - 6*u**4/5 - 94*u**3/15 - 72*u**2/5 - 72*u/5 + 8419. Find q, given that h(q) = 0.
-6, -3, -2, -1
Factor 893*y**3 + 112 - 896*y**3 - 112 - 135*y