8 - 21 = -2*p + 3*b. Determine f, given that -15*f**3 - 6*f**4 + 22*f**2 - 6*f**5 + 9*f**3 - 12*f + 8*f**p = 0.
-2, 0, 1, 3
Let i(o) = 21*o**4 - 2*o**3 + o**2 - o - 1. Let h(b) = 62*b**4 - 1153*b**3 + 1152*b**2 + 1144*b - 1151. Let d(t) = h(t) - 3*i(t). Factor d(f).
-(f - 1)**2*(f + 1)*(f + 1148)
Suppose 58*x = 46 + 128. Suppose -63 = -15*w - x. Factor 15*f**2 - 3/2*f**5 + 9*f**w + 0 - 18*f**3 - 9/2*f.
-3*f*(f - 3)*(f - 1)**3/2
Let l(k) be the first derivative of 9*k**4/16 + 119*k**3/12 + 67*k**2/4 + 6*k + 4113. Factor l(u).
(u + 1)*(u + 12)*(9*u + 2)/4
Let n(u) = -90*u**2 - 3326*u + 8. Let t(j) = 34*j**2 + 1110*j - 3. Let y(q) = 3*n(q) + 8*t(q). Find o such that y(o) = 0.
0, 549
Let f be (-4)/(-24)*(243/15)/(2/5). Factor 1/4*r**4 - 3/2*r**2 - f + r**3 - 9*r.
(r - 3)*(r + 1)*(r + 3)**2/4
Let a(n) be the third derivative of n**6/60 - 8*n**5/15 - 11*n**4/3 + 48*n**3 - 2*n**2 - 87*n. Let a(r) = 0. Calculate r.
-4, 2, 18
Let d(o) be the third derivative of o**7/14 + 2*o**6/3 + 13*o**5/6 + 10*o**4/3 + 5*o**3/2 + 718*o**2 - 2. Factor d(g).
5*(g + 1)**2*(g + 3)*(3*g + 1)
Let h(r) = -15*r**4 + 312*r**3 - 78*r**2 + 12*r + 6. Let j(p) = -47*p**4 + 939*p**3 - 233*p**2 + 34*p + 17. Let w(v) = -17*h(v) + 6*j(v). What is l in w(l) = 0?
0, 2/9, 12
Let m = -267235 + 1336179/5. Suppose 28/5 + 24/5*o - m*o**2 = 0. Calculate o.
-1, 7
Let d(m) be the first derivative of 5*m**3/3 - 205*m**2/2 - 1680*m + 4141. What is b in d(b) = 0?
-7, 48
Let t = -544 + 552. Let m be (-1 + (-1)/3)*(-12)/t. Factor 1/3 - 75/4*w**3 - 16/3*w + 95/4*w**m.
-(w - 1)*(15*w - 2)**2/12
Let z be 66/(-27)*(-1707)/12518. Suppose -z*l**3 + 22*l**2 - 363*l + 0 = 0. What is l?
0, 33
Let x = -7165 + 7168. Let o(h) be the third derivative of 0*h - 5/6*h**4 - 3*h**2 + 0 - 1/12*h**5 - 5/2*h**x. Find t, given that o(t) = 0.
-3, -1
Let o(k) be the first derivative of -3/10*k**2 + 38 - 1/15*k**3 - 2/5*k. Find l, given that o(l) = 0.
-2, -1
Let k(t) be the third derivative of t**8/2520 - 14*t**7/45 + 11399*t**2. Factor k(o).
2*o**4*(o - 490)/15
Let o(u) = -4*u**5 - 23*u**4 + 331*u**3 - 40*u**2 - 1180*u + 562. Let r(z) = -3*z**5 - z**4 + 2*z**3 - 1. Let q(n) = o(n) + 2*r(n). Solve q(s) = 0 for s.
-7, -2, 1/2, 2, 4
Suppose 0 = -l - 3*p + p + 8, 3*l - 5*p = -20. Suppose -4*u + 8 + 7 = 3*h, 3*h - 15 = 3*u. Solve -2/15*v**3 + l - 2/15*v**2 + u*v = 0 for v.
-1, 0
Factor -1/2*p**3 + 0*p - 2*p**2 + 1/4*p**4 + 0.
p**2*(p - 4)*(p + 2)/4
Let u = -691 - -697. Solve 22*q**3 - 108*q + 104*q + u*q**2 - 22 + 2 + 29*q**2 + 3*q**4 = 0 for q.
-5, -2, -1, 2/3
Let m(v) be the second derivative of 0 - 10*v**2 + 80*v + 41/12*v**3 - 1/24*v**4. Solve m(r) = 0.
1, 40
Factor 188*z**2 + 1008 - 184*z**2 + 18*z + 154*z.
4*(z + 7)*(z + 36)
Suppose -u = 4*s + 2711 - 2789, -8*u = 5*s - 111. Factor -1/3*q**5 - 9*q**u + 0*q + 0 + q**4 + 3*q**3.
-q**2*(q - 3)**2*(q + 3)/3
Factor -33 + 32*t**3 - 27 + 56*t + 65 - 92*t**2 - 5.
4*t*(t - 2)*(8*t - 7)
Let x be 2*(-11)/(-110) - (-18)/10. Factor -2 - 1 - 18 + 15*v - 3*v**x + 0 + 3.
-3*(v - 3)*(v - 2)
Let a(z) be the third derivative of 0*z**4 + 0*z + 0*z**5 + 36*z**2 + 0 - 2/105*z**7 - 1/84*z**8 + 1/15*z**6 + 0*z**3. Factor a(x).
-4*x**3*(x - 1)*(x + 2)
Let h(z) = 281*z**3 + 3259*z**2 - 3960*z + 407. Let y(j) = -93*j**3 - 1087*j**2 + 1320*j - 136. Let p(v) = 4*h(v) + 13*y(v). Solve p(d) = 0 for d.
-14, 2/17, 1
Let w(g) be the second derivative of -g**4/72 - g**3/4 + 15*g**2/2 + 4*g - 713. Factor w(v).
-(v - 6)*(v + 15)/6
Factor -12530*b**2 + 1387 + 160*b + 12535*b**2 - 287.
5*(b + 10)*(b + 22)
Suppose 67*a - 29*a + 61*a = 0. Let y(v) be the second derivative of -1/10*v**6 - v + 0 + 0*v**4 + 9/20*v**5 + a*v**3 + 0*v**2. Solve y(w) = 0.
0, 3
Let i(b) be the second derivative of b**7/1960 - b**6/280 - b**5/70 + 3*b**4/14 + 3*b**3/2 - 108*b. Let m(d) be the second derivative of i(d). Factor m(l).
3*(l - 3)*(l - 2)*(l + 2)/7
Let i be (-68)/2040*20*-1. Let -4 - i*n**2 + 1/12*n**3 - 11/3*n = 0. What is n?
-2, 12
Let c be (-4848)/(-707) + 6/(-3) + -4. Let w(j) be the first derivative of 17 + 16/7*j + c*j**2 - 4/21*j**3. Factor w(a).
-4*(a - 4)*(a + 1)/7
Factor -2/3*f**2 + 440/3*f - 24200/3.
-2*(f - 110)**2/3
Let u(k) be the first derivative of 44/3*k**3 + 149 + 52*k**2 - k**4 + 0*k. Factor u(v).
-4*v*(v - 13)*(v + 2)
Let h be 55/(-11) - 1932/(-368). Let h*b - b**2 - 1/4*b**3 + 1 = 0. Calculate b.
-4, -1, 1
Let c be (-38)/(-8) - 10/(-40). Factor -11 + 6*x**2 + 5*x - 3*x**3 + x + c - 3*x.
-3*(x - 2)*(x - 1)*(x + 1)
Let n(l) be the third derivative of l**7/2520 + l**6/120 + l**5/15 + 2*l**4/9 - 41*l**3/6 - 2*l**2 - 103. Let k(w) be the first derivative of n(w). Factor k(s).
(s + 1)*(s + 4)**2/3
Factor -560/9 + 4/9*j**3 + 128/9*j**2 + 428/9*j.
4*(j - 1)*(j + 5)*(j + 28)/9
Suppose 2*y - 3*g + 1 = 0, -4 = -y + 12*g - 9*g. Let x be (2 - 3)*(-10 + (y - -12)). Find z such that -15*z + 40/3*z**2 + 0 + 5/3*z**x = 0.
-9, 0, 1
Let s = 64 + -60. Suppose 3*z - 5*k = -6 + 48, 70 = 5*z - 3*k. Determine d so that -z*d**2 - d**s + 4*d - 4*d**3 + 5*d**4 + 10*d**2 = 0.
-1, 0, 1
Suppose 18*p**3 - 558*p**2 + 638*p**2 + 8*p - 35 - 28 - 8*p**4 - 33 - 2*p**5 = 0. Calculate p.
-4, -2, 1, 3
Let z(l) be the second derivative of 9*l**2 + 1/8*l**4 - 56 + 7/4*l**3 - l. Find g, given that z(g) = 0.
-4, -3
Suppose 20*l = 15 + 25. What is h in 7*h**2 - 2*h**2 - 56 - 12*h + 41 - 2*h**l = 0?
-1, 5
Let l(f) be the third derivative of f**7/42 + 3*f**6 + 34*f**5 + 500*f**4/3 + 440*f**3 - 3*f**2 - 266*f + 1. Let l(a) = 0. What is a?
-66, -2
Let g be ((-19)/152)/(3/(-18)). Let j be (-18)/4*1/(-9). Factor 9/4*s**2 + 5/2*s + g + j*s**3.
(s + 1)*(s + 3)*(2*s + 1)/4
Suppose 23*g = 65 + 4. Factor -o**g + 3*o - 11*o**2 - 24 + 10*o**2 + o**2 - 2*o**3 + 24*o**2.
-3*(o - 8)*(o - 1)*(o + 1)
Suppose 0 = 3*t - z - 146, 9*t - z = 4*t + 242. Suppose t = -s + 115. Suppose 34 + 25 + 53*h + s*h - 23 + 100*h**2 = 0. Calculate h.
-3/5
Let q be ((-1212)/(-36))/((-25)/(-30)). Let a = -601/15 + q. Find j such that -1/3*j**5 + 5/3*j**3 - a*j**4 + 4/3 + 1/3*j**2 - 8/3*j = 0.
-2, 1
Let c(l) be the third derivative of 0*l**3 - 1/28*l**4 + l**2 - 5 + 0*l + 1/210*l**5. Suppose c(f) = 0. Calculate f.
0, 3
Let x be (-2)/20*(628 - 648). Factor 0 + 0*k + 21/2*k**x + 1/2*k**3.
k**2*(k + 21)/2
Let g(l) be the first derivative of l**4 - 8*l**3/3 - 86*l**2 + 560*l + 6774. Let g(v) = 0. Calculate v.
-7, 4, 5
Let l(p) be the second derivative of p**4/18 - 98*p**3/9 + 64*p**2 + 290*p. Factor l(z).
2*(z - 96)*(z - 2)/3
Suppose 4*i + w = 2*i + 8, i - 3*w = 18. Factor i*j**2 - 4*j**2 + 46*j + 2*j**2 - 44 - 6*j**2.
-2*(j - 22)*(j - 1)
Factor 811*a**2 - 271*a**2 - 266*a**2 - 12*a - 32*a - 258*a**2 - 12.
4*(a - 3)*(4*a + 1)
Let h(n) be the third derivative of -2*n**2 + 4/27*n**3 + 7/27*n**4 - 1/45*n**7 + 29 + 0*n + 2/135*n**6 + 53/270*n**5. Solve h(i) = 0.
-1, -1/3, -2/7, 2
Let j(t) = -3*t**2 + 15*t. Let a(l) = -l**2 + l + 2. Let d(w) = 2*a(w) - j(w). Let m be d(0). Let -4/3*h**3 - h**2 - 1/3*h**m + 0*h + 0 = 0. What is h?
-3, -1, 0
Suppose 2*u = 5*k + 8650, -4*k - 9*u - 6920 = -11*u. Let s = 1732 + k. Solve 256/9*t + 4 + 469/9*t**s + 49/9*t**3 = 0.
-9, -2/7
Let u be 4 - (0/2 - -5). Let j(s) = s**3 - s**2 - 1. Let k(y) = 4*y**3 - 13*y**2 + 9*y - 1. Let o(m) = u*j(m) + k(m). Factor o(t).
3*t*(t - 3)*(t - 1)
Let p(i) = 5*i**2 + 33*i - 6. Let s be p(-7). Let l be 6 + 8/2 + (-48)/s. Determine g, given that 0*g - g**2 + g**l + 0 - 3/2*g**3 = 0.
-1/2, 0, 2
Let i(f) be the third derivative of f**7/1050 - f**6/60 - f**5/300 + f**4/12 + 2946*f**2. What is w in i(w) = 0?
-1, 0, 1, 10
Let a(k) be the first derivative of 3*k**4/32 - 33*k**3/8 + 42*k**2 + 441*k/2 - 3747. Suppose a(j) = 0. What is j?
-2, 14, 21
Let u(i) be the third derivative of 17/15*i**5 - 1/10*i**6 + i**4 + 15*i**2 + 8 + 0*i**3 + 0*i. Factor u(z).
-4*z*(z - 6)*(3*z + 1)
Let x(m) be the second derivative of 42*m - 1/30*m**6 - 11/2*m**2 + 0 + 5/3*m**3 - 1/2*m**5 + m**4. Factor x(o).
-(o - 1)**2*(o + 1)*(o + 11)
Let o(c) = -63*c**2 + 186*c + 12. Let i be o(3). Suppose -12/7*f**5 + 4/7*f**i + 4*f**2 - 4*f**4 + 8/7*f + 0 = 0. What is f?
-2, -1, -1/3, 0, 1
Let x(i) be the second derivative of -i**7/210 + i**6/15 + 9*i**5/100 - 169*i**4/30 + 496*i**3/15 - 336*i**2/5 + 2*i + 4291. Find a such that x(a) = 0.
-6, 1, 4, 7
Let y(z) be the s