+ 21 - 105 = 0. Let m(n) = 3*n - 60. Let q be m(h). Solve -2/7*b**q + 2/7*b**2 + 0*b + 0 = 0.
0, 1
Let a be 2/17 - (17008/(-1088) - -15). Suppose -3*c - 4*i = -i - 18, 0 = -5*c - 2*i + 18. Factor 1/4*m**c + a*m - 1.
(m - 1)*(m + 4)/4
Let l(p) be the first derivative of p**6/15 + 4*p**5/25 - 3*p**4/5 - 8*p**3/15 + 13*p**2/5 - 12*p/5 + 967. Factor l(b).
2*(b - 1)**3*(b + 2)*(b + 3)/5
Factor -52/7*l + 12/7*l**2 + 4/7*l**3 - 60/7.
4*(l - 3)*(l + 1)*(l + 5)/7
Let t(x) be the first derivative of -x**7/147 + x**5/14 - 4*x**3/21 + 157*x - 256. Let y(p) be the first derivative of t(p). Find i, given that y(i) = 0.
-2, -1, 0, 1, 2
Factor -48 + 26/3*n**2 + 4*n + 2/3*n**3.
2*(n - 2)*(n + 3)*(n + 12)/3
Factor -10924*t**5 + 29*t**4 + 10923*t**5 + 192*t + 160*t - 162*t**3 + 160*t**2.
-t*(t - 22)*(t - 4)**2*(t + 1)
Let b be (-220)/88*2/(-12). Let o(n) be the first derivative of -7/8*n**2 - 3/4*n - b*n**3 - 1/16*n**4 - 2. Determine w, given that o(w) = 0.
-3, -1
Let w = 1053529/15 + -70235. Factor -2/15*m + 0 - 2/15*m**3 - w*m**2.
-2*m*(m + 1)**2/15
Suppose d - 4*k - 20 = -0*d, 2*k + 10 = 0. Suppose d = -43*u + 27*u. Factor -1/3*b**2 - 2/3*b**3 + u + 1/3*b**4 + 2/3*b.
b*(b - 2)*(b - 1)*(b + 1)/3
Factor -5*t**3 - 730*t**2 - 196*t**2 - 51*t**2 - 358*t**2 - 2650*t.
-5*t*(t + 2)*(t + 265)
Let r(b) be the second derivative of 500*b**2 - 2*b - 15/2*b**4 - 50*b**3 - 1/4*b**5 + 0. Determine j, given that r(j) = 0.
-10, 2
Let l be 6/81*-3 - 47/(-9). Let z be 63/6 - (-5)/((-50)/l). Factor 0*w**2 - z*w - w**2 + 0*w + 9*w.
-w*(w + 1)
Suppose -n - 3*q - 1212 + 1156 = 0, -2*n - q = 12. Determine z so that 0 - 4/3*z + 14/3*z**2 - 2/3*z**n + 4/3*z**5 - 4*z**3 = 0.
-2, 0, 1/2, 1
Factor 1 - 15/4*q**2 - 1/2*q**3 + 5/4*q**4 - q.
(q - 2)*(q + 1)**2*(5*q - 2)/4
Let i(s) be the third derivative of -s**5/12 + 5*s**4/3 - 35*s**3/6 + 1813*s**2. Factor i(k).
-5*(k - 7)*(k - 1)
Let z be -20 + 774/36 - (-6)/4. Let o(f) be the second derivative of 0 - 2/3*f**z + 1/24*f**4 + 4*f**2 - 4*f. Determine u, given that o(u) = 0.
4
Let y(g) be the first derivative of 3*g**4/4 + 24*g**3 + 351*g**2/2 - 1014*g - 180. Solve y(c) = 0.
-13, 2
Factor -79*z**4 - 23*z**4 - 72 - 218*z - 235*z**2 + 13*z**2 - 78*z**3 + 100*z**4.
-2*(z + 1)**3*(z + 36)
Let k(p) = -p**3 + 3*p**2 - 78*p + 164. Let i(d) = -2*d**2 + 78*d - 156. Let a(m) = 3*i(m) + 2*k(m). Factor a(u).
-2*(u - 5)*(u - 2)*(u + 7)
Let j(m) be the third derivative of m**5/330 - m**4/12 - 80*m**3/33 + 2763*m**2. Factor j(o).
2*(o - 16)*(o + 5)/11
Let v(y) = 5*y + 85. Let r be v(-15). Let u be (r/18)/((-10)/(-22 + -8)). Factor u*f**2 + 5/2*f - 5/3.
5*(f + 2)*(2*f - 1)/6
Let w be -1*(-3)/(-30)*4*-5. Let 15*x**4 + 6*x**3 - 4*x - 10*x**4 - 2*x - 2*x**w - 3*x**4 = 0. What is x?
-3, -1, 0, 1
Let m(w) = 2*w**3 + 52*w**2 - 20*w - 60. Let r be m(-26). Factor -5*v**4 - r - 35*v**3 - 30*v + 460 + 5*v - 55*v**2.
-5*v*(v + 1)**2*(v + 5)
Let g = -23 + 27. Suppose -g*k - 5*v + 44 = 0, 0 = -4*k - v - 1 + 29. Factor -3*x - x - 2*x - k*x + 16*x**2 - 4.
4*(x - 1)*(4*x + 1)
Let m(h) = 2*h + 43. Let k be m(-19). Suppose 1 = -u - r, 3*u = -u - k*r - 7. Factor -4*z**3 + u*z**3 + z**3 + z.
-z*(z - 1)*(z + 1)
Let s be (-76)/(-57)*3729/308 + -15. What is a in -8/7*a**2 + 0 - s*a**4 + 0*a + 20/7*a**3 = 0?
0, 1/2, 2
Determine h so that -428857*h**2 + 428857*h**2 + 4*h**5 + 4*h**3 + 8*h**4 = 0.
-1, 0
Solve 0 - 7/2*t**4 + 0*t**3 + 0*t**2 + 0*t - 1/2*t**5 = 0 for t.
-7, 0
Let g = 15783/22 + -1417/2. Let v = 263/28 + 19/308. Determine l so that -16/11 - g*l**3 - 140/11*l**2 + v*l = 0.
-2, 2/7
Let a = 168 + 188. Let i = a - 354. Factor 0 - 2*g**i + 6/5*g.
-2*g*(5*g - 3)/5
Factor -352/9*q + 2/9*q**2 + 232/3.
2*(q - 174)*(q - 2)/9
Let p be 325/70 - (-3)/(-25 - -4). Factor 1/2*a**2 + p*a + 0.
a*(a + 9)/2
Suppose -q + 477 = d - 4*q, -4*d + 1823 = 5*q. Let g be d/(-56)*(-8)/3. Solve 24*n - 12*n**2 - 8*n**3 - g - 2*n**4 + 4 + 0*n**3 + 16*n**2 = 0 for n.
-3, 1
Let p be (-423)/(-27) + -16 - 10/6. Let v be 9 + 0 + -4 + p. What is d in 8/3*d**2 - 8*d + 0 - 2/9*d**v = 0?
0, 6
Let r = 1003 - 1009. Let m be 5/(5/r) + (1 - -5). Factor -24/13*i**2 - 8/13*i + m + 14/13*i**3.
2*i*(i - 2)*(7*i + 2)/13
Factor 0 + 3/7*g**2 - 6*g.
3*g*(g - 14)/7
Let c = 21703/168 + -904/7. Let u(s) be the first derivative of 14 + c*s**3 - 1/16*s**2 + 0*s. Factor u(y).
y*(y - 1)/8
Let b(y) be the first derivative of -14*y**6/9 + 74*y**5/9 - 43*y**4/6 - 280*y**3/27 - 4*y**2/3 - 14139. Suppose b(a) = 0. Calculate a.
-1/2, -2/21, 0, 2, 3
Let b(f) be the second derivative of f**7/4 - 19*f**6/20 - 57*f**5/10 + 37*f**4/2 + 12*f**3 - 44*f - 3. What is y in b(y) = 0?
-3, -2/7, 0, 2, 4
Let w = -159 + 162. Let l = 13/3 - w. Factor -5/6*i**2 + l*i + 1/6*i**3 - 2/3.
(i - 2)**2*(i - 1)/6
Suppose 33*y = 56*y - 115. Suppose y*m + 22 + 3 = 0, 9 = 2*x - m. What is s in -1/3*s**x - 8/3*s - 7/3 = 0?
-7, -1
Suppose 17/8*f**4 + 1/8*f**5 + 127/8*f**2 + 83/8*f**3 - 6*f - 45/2 = 0. What is f?
-10, -3, -2, 1
Factor -844 + 7885*x - 3842*x + x**2 - 3836*x + 0*x**2.
(x - 4)*(x + 211)
Factor 0 - 228/7*b + 297/7*b**2 + 3/7*b**4 - 72/7*b**3.
3*b*(b - 19)*(b - 4)*(b - 1)/7
Let t(h) be the third derivative of -1/360*h**5 + 6*h - 7*h**2 + 0 + 1/144*h**4 + 1/18*h**3. Solve t(s) = 0.
-1, 2
Let x(p) be the first derivative of -p**3/3 - 1093*p**2 - 1194649*p + 3383. Factor x(w).
-(w + 1093)**2
Factor -37*f - 38*f + 297677*f**2 + 462 - 297674*f**2.
3*(f - 14)*(f - 11)
Suppose -6*x + 13 + 143 = 0. Let t be (6 + x/(-5))*(-10)/(-4). Suppose -3 + 4*q + 9*q**2 - t*q**2 - 8*q**2 = 0. What is q?
1, 3
What is w in 1917*w**2 - 64054*w + 464*w**3 + 63991*w + 1510*w**3 - 6 = 0?
-1, -2/47, 1/14
Let o be 8/2*((-237)/12 - 5). Let a be 3*2/(-4)*132/o. Suppose -2/5 - 4/5*s - 2/5*s**a = 0. What is s?
-1
Let h be (-96)/(-47) + 840/(-19740). Solve 6 + 2*c + 1/6*c**h = 0 for c.
-6
Let n(g) = -g**3 + 4*g**2 + 15*g - 55. Let y be n(4). Let j be 8 + -8 - y/(-30). Solve -1/6*m**3 + j*m - 1/3*m**2 + 1/3 = 0.
-2, -1, 1
Let w(n) be the third derivative of -2/3*n**4 + 0 - 2/15*n**5 + 0*n + 11/6*n**3 + 25*n**2 - 1/90*n**6. Let x(q) be the first derivative of w(q). Factor x(i).
-4*(i + 2)**2
Let y(j) be the first derivative of 9/5*j**5 - 6*j - j**3 - 1/4*j**6 + 27/4*j**2 - 191 - 3*j**4. Let y(v) = 0. Calculate v.
-1, 1, 4
Determine i so that 117*i**3 - 9*i**5 - 93/2*i**4 + 105/2 - 6*i**2 - 108*i = 0.
-7, -1, 5/6, 1
Let p(n) be the first derivative of -66 + 0*n**2 - 1/9*n**3 + 0*n. Factor p(f).
-f**2/3
Let u(g) = -g**3 + 15*g**2 + 52*g - 128. Let f(t) = -3*t**3 + 75*t**2 + 261*t - 644. Let o(m) = 2*f(m) - 11*u(m). What is z in o(z) = 0?
-3, 2, 4
Let t(m) = m**2 - 298*m + 1655. Let i(v) = -99*v + 552. Let j(b) = 10*i(b) - 3*t(b). Let j(n) = 0. Calculate n.
-37, 5
Suppose -l = 28*l - 87. What is h in 30*h**l + 4*h**5 - 30*h**4 + 3*h**3 - 32*h + 48*h**2 - 7*h**3 + 20*h**3 = 0?
-1, 0, 1/2, 4
Let h(w) be the third derivative of 23/30*w**5 + 35/6*w**3 - 1/18*w**6 + 0 + 0*w + 5/3*w**4 - 20*w**2. Let o(d) be the first derivative of h(d). Factor o(x).
-4*(x - 5)*(5*x + 2)
Let f(i) be the first derivative of i**4/4 + 7*i**3/3 + 6*i**2 - 6*i + 13. Let k(s) = -s**2 + 2*s - 1. Let b(x) = -f(x) + 6*k(x). Factor b(n).
-n**2*(n + 13)
Suppose 0 = 5*d + 29*m - 24*m + 25, -3*d = -5*m - 49. Determine q, given that -4/5*q**2 - q - 2/5 - 1/5*q**d = 0.
-2, -1
Let k(u) be the third derivative of 0 + 10/3*u**3 - 1/4*u**5 + 1/24*u**6 - 39*u**2 + 0*u + 0*u**4. Factor k(y).
5*(y - 2)**2*(y + 1)
Let i = 28 + -28. Suppose i*n - 4*n + 12 = 0. Factor -20*k**2 - 127*k**3 - 605*k**4 - 111*k**n + 18*k**3.
-5*k**2*(11*k + 2)**2
Let k = -343 + 348. Find i such that 23 + 2*i**2 - i**k + 5*i**5 - 7 + 16*i - 20*i**3 + 4*i**4 - 22*i**2 = 0.
-2, -1, 1, 2
Suppose -36 = -w - 15. Let m = w - 19. Determine a so that -19*a**4 + 3*a**5 + 16*a**4 - 4*a**5 - 3*a + 2*a**2 + m*a**5 + 2*a**3 + 1 = 0.
-1, 1
Suppose -10/9*m**4 + 0 + 16/3*m + 40/9*m**2 + 2/9*m**5 - 20/9*m**3 = 0. Calculate m.
-2, -1, 0, 2, 6
Let z be 6 + (-195)/30 - (15/10 - 4). Solve -633/2*v**z - 3/2*v**5 - 288 + 33/2*v**4 + 27/2*v**3 - 600*v = 0 for v.
-3, -1, 8
Let p(t) = -t**4 - t**3 + 17*t**2. Let s(q) = -q**4 - 39*q**3 + 104*q**2. Let x(d) = 2*p(d) - s(d). Solve x(z) = 0 for z.
0, 2, 35
Suppose 32 + 80/3*r - 10*r**3 - 4/3*r**4 - 14*r**2 = 0. What is r?
-4, -1, 3/2
Find