+ -133) - 4. Factor 22/5*f + 0 + d*f**2.
2*f*(f + 11)/5
Let m(j) be the second derivative of j**7/462 + j**6/330 - j**5/55 - j**4/33 + j + 746. What is i in m(i) = 0?
-2, -1, 0, 2
Let z(g) = -19*g + 10*g - 4 - g**2 + 0 + 0. Let l be z(-5). Solve l*c - 5*c**4 + 9*c - 10*c**3 + 5*c**3 + 10 + 15*c**2 = 0 for c.
-1, 2
Let b(j) be the second derivative of j**4/8 + 9*j**3 + 135*j**2 + 1176*j. Let b(z) = 0. What is z?
-30, -6
Suppose 1/6*x**5 + 0*x + 14/3*x**2 + 0 - 2/3*x**4 - 25/6*x**3 = 0. Calculate x.
-4, 0, 1, 7
Let g(z) be the third derivative of 11*z**5/240 + z**4/4 + z**3/6 + 14*z**2 + 2. Factor g(k).
(k + 2)*(11*k + 2)/4
Let u(x) be the third derivative of -2*x**4 + 3/20*x**5 + 26/3*x**3 + 0*x + 8*x**2 + 1/120*x**6 + 6. Solve u(w) = 0.
-13, 2
Let x = -157144472/130881 + 6/43627. Let b = -1182 - x. Factor -b*k + 392/3 + 2/3*k**2.
2*(k - 14)**2/3
Let w be ((12/(-20))/(28/(-5)))/(7155/1908). Let s(q) be the third derivative of -1/280*q**6 + w*q**5 + 0 - 1/14*q**4 + 0*q + 0*q**3 + 14*q**2. Factor s(v).
-3*v*(v - 2)**2/7
Let r(h) be the first derivative of -h**3/12 + 553*h**2/8 - 551*h/2 + 5320. Suppose r(o) = 0. What is o?
2, 551
Let h(i) be the first derivative of 1/18*i**4 - 3*i + 13 + 1/3*i**2 - 2/9*i**3. Let v(p) be the first derivative of h(p). Find d such that v(d) = 0.
1
Let z be ((-12)/8)/(10/(-20)). Let v(c) = c + 10. Let w be v(-7). Solve 2*u - z*u**3 + 8*u**2 - 8 + 5*u**3 - 6*u + 2*u**w = 0 for u.
-2, -1, 1
Let p be (5120/(-48))/(-5) - 16. Let z(s) be the first derivative of 16*s + s**4 + 24 - p*s**3 - 2*s**2. Factor z(y).
4*(y - 4)*(y - 1)*(y + 1)
Let h(r) be the second derivative of -r**5/190 + 2*r**4/19 - 44*r**3/57 + 48*r**2/19 - 491*r. Determine c so that h(c) = 0.
2, 4, 6
Factor 157*o + 7*o**2 + 1337 - 3*o**2 - 61*o - 185 - 2*o**2.
2*(o + 24)**2
Let k(q) be the third derivative of 10/51*q**3 + 2*q**2 - 1/68*q**4 + 67 + 0*q - 1/510*q**5. Factor k(x).
-2*(x - 2)*(x + 5)/17
Suppose 25*t - 3*t = -19*t + 123. Let m(f) be the second derivative of 1/15*f**4 + 0 - 12/5*f**2 + 2/15*f**t - f. Factor m(r).
4*(r - 2)*(r + 3)/5
Let x(b) be the third derivative of b**7/70 + 7*b**6/40 - 3*b**5/2 + b**4/2 + 20*b**3 + 4888*b**2. Let x(t) = 0. What is t?
-10, -1, 2
Let x be ((-10)/3)/(5895/(-115542)). Let 4802/3 - x*o + 2/3*o**2 = 0. What is o?
49
Let t(j) be the third derivative of j**5/30 - 5*j**4/3 - 7*j**3 + j**2 - 385*j. Factor t(h).
2*(h - 21)*(h + 1)
Suppose -4*x = 2 + 38. Let b(w) = -7*w - 70. Let v be b(x). Find o such that -3/4*o**4 + v + 3/4*o**2 - 3/2*o**3 + 3/2*o = 0.
-2, -1, 0, 1
Solve 3*t**5 + 83*t**4 + 100*t**4 + 24*t**3 + 60*t**2 - 281*t**4 + 65*t**4 = 0 for t.
-1, 0, 2, 10
Let y(h) be the third derivative of -h**6/300 - h**5/50 + 1063*h**2 + 1. Factor y(m).
-2*m**2*(m + 3)/5
Let t = -1031068/5 - -207151. Let n = t + -931. Let -2/5*w**4 + 16/5*w**3 + 16/5*w**2 - 32/5*w - 2/5*w**5 - n = 0. Calculate w.
-2, -1, 2
Let 26/5*w**4 + 1536/5*w + 216/5 + 778/5*w**2 - 516/5*w**3 = 0. Calculate w.
-1, -2/13, 3, 18
Let n(r) be the first derivative of 7*r**6/24 - 47*r**5/20 + 47*r**4/16 + 167*r**3/12 - 75*r**2/4 - 54*r - 5995. Determine v so that n(v) = 0.
-9/7, -1, 2, 3, 4
Let k(h) = -9*h + 36. Let t be k(5). Let z be ((-2)/t)/((-40)/(-90)*3). Factor -5/6*j**2 - 2/3 + 4/3*j + z*j**3.
(j - 2)**2*(j - 1)/6
Let i(y) = 66*y**2 - 56*y - 12. Let r(c) = 131*c**2 - 112*c - 24. Let b be (-12 - -16) + 3*(-2)/(-6). Let h(a) = b*i(a) - 2*r(a). Factor h(m).
4*(m - 1)*(17*m + 3)
Let u(s) = -9*s - 50. Let r be u(-6). Solve 0*i**4 - 4*i**5 - r*i**2 - 24*i + 11*i**3 + 5*i**4 - i**4 + 17*i**3 = 0.
-2, -1, 0, 1, 3
Let y(g) = 2*g**3 - g**2 - 3*g + 4. Let p be y(2). Suppose -146*t - p = -151*t. What is l in 6 + 26*l**t - 12*l**2 - 2*l**4 - l**3 - 19*l + 5*l**3 - 3*l**3 = 0?
-3, 1/2, 1, 2
Let h(a) = 96*a - 317. Let o be h(11). Let j = 2219/3 - o. Factor -j*r + 0 - 2/3*r**3 + 4/3*r**2.
-2*r*(r - 1)**2/3
Find a such that -16*a**2 - 18/5*a**4 - 148/5*a - 6 + 276/5*a**3 = 0.
-1/3, 1, 15
Suppose -7*u = 12 + 9. Let y be ((-3)/3 - u) + 0. Factor q**3 + 2*q - q**3 - 5*q**3 + 5*q**4 - 20*q**y + 18*q.
5*q*(q - 2)*(q - 1)*(q + 2)
Let l(f) = 60*f**3 + 1345*f**2 + 8545*f + 7225. Let z = -209 - -206. Let o(i) = 5*i**3 + 112*i**2 + 712*i + 602. Let j(c) = z*l(c) + 35*o(c). Factor j(b).
-5*(b + 1)*(b + 11)**2
Let v(s) = -s**3 + 9*s**2 - 15*s + 7. Let k be v(7). Suppose k = r - y - 22, 2*r - 5*y = -6*y + 32. Factor -r*h + 5*h**2 + h**3 + 18*h + 4*h.
h*(h + 1)*(h + 4)
Let k(s) be the second derivative of s**2 + 13*s - 13/36*s**3 + 0 + 1/72*s**4. Determine f so that k(f) = 0.
1, 12
Let m(s) = -7*s**2 + 771*s - 154446. Let g(d) = -5*d**2 + 776*d - 154447. Let c(u) = 6*g(u) - 4*m(u). Solve c(j) = 0 for j.
393
Let j(r) be the first derivative of 2*r**3 - 18*r - 16 + 8*r**2 - 1/3*r**4. Let q(v) be the first derivative of j(v). Find c such that q(c) = 0.
-1, 4
Let m(v) be the third derivative of 0 - 7/330*v**5 + 4/11*v**3 + 13*v + 10/33*v**4 - 3*v**2. Factor m(o).
-2*(o - 6)*(7*o + 2)/11
Let g = 837 + -342. Let w = -1484/3 + g. Solve w*x**4 + 0 + 2/3*x**3 + 1/3*x**2 + 0*x = 0 for x.
-1, 0
Factor 141/4*z**2 - 19/4*z**3 - 225/4*z - 1/4*z**4 + 0.
-z*(z - 3)**2*(z + 25)/4
Let l be (-40)/(-315)*45/(-15)*-6. Let v = -6/25 + 92/175. Find k such that l - 18/7*k + v*k**2 = 0.
1, 8
Let u(p) be the first derivative of 12*p**4 + 104*p**3 - 549*p**2/2 + 216*p - 1808. Factor u(k).
3*(k + 8)*(4*k - 3)**2
Factor -3/2*v**2 - 171 - 177/2*v.
-3*(v + 2)*(v + 57)/2
Let h(v) be the second derivative of v**4/4 + 393*v**3 + 463347*v**2/2 + 384*v. Factor h(i).
3*(i + 393)**2
Let r(f) = -5*f**3 - 5*f**2 + 9*f + 9. Let g(h) = 45*h**3 + 45*h**2 - 80*h - 80. Let w = -92 + 57. Let d(l) = w*r(l) - 4*g(l). Factor d(m).
-5*(m - 1)*(m + 1)**2
Let f = -587 + 592. What is l in -6*l**3 + l**f - 4*l**2 - 1831*l + 912*l + 927*l + l**4 = 0?
-2, 0, 1, 2
Factor 26*h**3 + 59*h**3 + 40*h**2 + 120 - 89*h**3 - 124*h.
-4*(h - 5)*(h - 3)*(h - 2)
Let b = -78917/30 + 26309/10. Factor 0*s**2 + 0 + 2*s**5 + 0*s - 7/3*s**4 + b*s**3.
s**3*(s - 1)*(6*s - 1)/3
Suppose 4*j + 9 = 21. Factor -2*n + 4*n - 13*n**4 + 120*n**j + 9*n**4 - 2*n.
-4*n**3*(n - 30)
Let m(l) = -l**4 + 62*l**3 - 957*l**2 - 248*l + 3835. Let i(a) = 1. Let g(o) = -18*i(o) - 2*m(o). What is u in g(u) = 0?
-2, 2, 31
Let h(m) be the second derivative of 1/11*m**3 + 0*m**4 + 1 - 21*m - 2/11*m**2 - 1/110*m**5. Solve h(g) = 0 for g.
-2, 1
Let q(r) be the third derivative of r**5/450 - 11*r**4/60 - 484*r**2. Factor q(u).
2*u*(u - 33)/15
Let w be (1/2)/(8/80). Factor -21 - 22*i - 42 + w + 78*i + 2*i**2.
2*(i - 1)*(i + 29)
Let h(a) be the second derivative of 0*a**2 + 1/98*a**7 + 17/28*a**4 - 3/7*a**3 - 9/28*a**5 + 0 + 25*a + 3/70*a**6. Factor h(f).
3*f*(f - 1)**3*(f + 6)/7
Let q(o) be the third derivative of -11*o**6/600 - 17*o**5/100 - o**4/3 + 889*o**2. Let q(n) = 0. Calculate n.
-40/11, -1, 0
Determine n, given that -43/2*n**4 - 163/2*n**2 - 19/3*n**5 + 254/3*n**3 - 2 + 80/3*n = 0.
-6, 2/19, 1/2, 1
Let q be 3/(6/(-4)) + 2. Suppose -g + b + 2 + 0 = q, -b + 5 = 0. Factor 7*y - 24*y + 12 - 3*y**3 - g*y + 15*y**2.
-3*(y - 2)**2*(y - 1)
Let j(f) = -10*f + 53. Let a be j(5). Find q such that -10*q**2 + 4*q + 0*q - 2*q - 2*q**a + 10 = 0.
-5, -1, 1
Let a be -1 + 2 - (-170 + 199 + 32/(-1)). Find u such that 4/5*u**3 + 1/5*u**a + 6/5*u**2 + 1/5 + 4/5*u = 0.
-1
Let p(f) = -f**3 - 37*f**2 + 2*f + 71. Let i be p(-37). Let l be 6/40*i/((-18)/5). Factor -l*a**4 + 0 + 0*a + 1/4*a**3 + 3/8*a**2.
-a**2*(a - 3)*(a + 1)/8
Let c(r) be the third derivative of r**8/2520 + r**7/175 - 17*r**6/180 + r**5/6 - 975*r**2 + 1. Suppose c(z) = 0. Calculate z.
-15, 0, 1, 5
Determine s so that 1943 - 6095*s + 2575 + 20*s**2 - 843 + 251 + 634 = 0.
3/4, 304
What is d in -115 + 34*d**2 - 259*d - 95 - 84 - d**3 = 0?
-1, 14, 21
Factor -54*o**4 + 129*o**3 + 3*o**5 - 54*o**3 + 24*o**4.
3*o**3*(o - 5)**2
Let k(h) be the second derivative of -h**5/25 - 7*h**4/15 + 16*h**3/15 - 41*h - 6. Factor k(t).
-4*t*(t - 1)*(t + 8)/5
Suppose -t - 5*r + 43 = 0, -5*t + 20 = 8*r - 59. Factor 1/5*v + 0 + 1/5*v**t + 2/5*v**2.
v*(v + 1)**2/5
Let m(c) be the third derivative of c**5/540 + c**4/36 - 55*c**3/54 - 967*c**2. Factor m(r).
(r - 5)*(r + 11)/9
Let n(r) be the third derivative of 0*r + 1/784*r**8 + 1/245*r**7 + 1/280*r**6 + 0*r**