o) be the third derivative of 0*o + n*o**4 - 2/13*o**3 + 0 + 10*o**2 - 1/390*o**5. Determine z so that u(z) = 0.
2, 3
Suppose 1/3*i**2 - 13*i - 40/3 = 0. Calculate i.
-1, 40
Let l(w) be the first derivative of 3*w**4/2 + 10*w**3/3 + 9*w**2 + 6*w - 15. Let x(i) = 4*i**3 + 9*i**2 + 18*i + 7. Let z(r) = 3*l(r) - 4*x(r). Factor z(p).
2*(p - 5)*(p + 1)**2
Let a(s) be the third derivative of 0 + 0*s**3 - 1/200*s**6 - 8*s**2 - 7*s - 27/100*s**5 - 13/20*s**4. Factor a(b).
-3*b*(b + 1)*(b + 26)/5
Let h(s) be the first derivative of 3*s**4/8 - 90*s**3 + 6075*s**2 - 9110. Solve h(r) = 0.
0, 90
Suppose -4*x = -4*r + 492, 13*r - 8*r + 3*x = 575. Factor -26*w**2 + 382*w - 108 + 39*w**3 + w**3 - 4*w**4 - 166*w - r*w**2.
-4*(w - 3)**3*(w - 1)
Suppose 5*l + 5*u - 65 = 0, 4*u - 34 = -14. Let n be 1140/133 + (2 - l). Factor -2/7*t**2 - n + 12/7*t.
-2*(t - 3)**2/7
Let j(a) be the second derivative of -7/24*a**3 - 1/4*a**2 - 1/12*a**4 + 0 + 57*a + 1/20*a**5. Factor j(u).
(u - 2)*(2*u + 1)**2/4
Factor -12/13 - 2/13*j**2 - 14/13*j.
-2*(j + 1)*(j + 6)/13
Let r(g) be the first derivative of -322/15*g**3 + 207/10*g**4 - 12/5*g - 26 - 226/25*g**5 + 53/5*g**2 + 4/3*g**6. What is w in r(w) = 0?
1/4, 2/5, 1, 3
Let r(w) = 45*w + 45. Let s(n) be the first derivative of -22*n**2 + 1/3*n**3 - 45*n - 42. Let j(y) = 4*r(y) + 3*s(y). Factor j(t).
3*(t + 1)*(t + 15)
Suppose -249 = -15*j + 921. Factor -120*y + 25*y**2 - 21*y**2 + 8 - j - 74 + 20.
4*(y - 31)*(y + 1)
Let y(b) = -b**4 - b**3 + b**2 - b - 1. Let m(s) = 2*s**3 - 45*s**2 - 97*s + 8*s**4 - 5*s**3 + 9 + 74*s. Let w(l) = -4*m(l) - 36*y(l). Factor w(i).
4*i*(i + 2)**2*(i + 8)
Let l(q) be the first derivative of 2/5*q**4 - 4/5*q**2 + 0*q - 4 + 2/25*q**5 - 2/15*q**3. Solve l(d) = 0 for d.
-4, -1, 0, 1
Let v(c) be the third derivative of -121/9*c**3 + 11/18*c**4 + 16*c**2 + 0*c - 1/90*c**5 - 4. Find b, given that v(b) = 0.
11
Suppose 12*a - 9*a = 5*o - 35, -2*o = -4*a. Suppose 32/7*l**2 + 32*l + 192/7 - 2/7*l**a - 48/7*l**3 - 20/7*l**4 = 0. Calculate l.
-6, -2, 2
Let b(w) = w**2 + 5*w - 24. Let i be b(-8). Suppose -4*u - 5*t + 134 = i, 2*u + 3*u = t + 153. Factor -5*d + u - 21 - 22 - 10*d - 3*d**2.
-3*(d + 1)*(d + 4)
Suppose 2/3*z**4 + 1868/3*z**2 + 8214 + 136/3*z**3 - 5032*z = 0. What is z?
-37, 3
Let l(u) = -u**3 + 5*u**2 + 9*u - 13. Let b(v) = v - 9. Let k be b(15). Let d be l(k). Factor -109*n**2 + 218*n**2 + d*n - 104*n**2 - 10.
5*(n - 1)*(n + 2)
Let j be 228/(-42) - (-9)/21. Let m(w) = w**2 + w. Let k(v) = v**3 - 12*v**2 + 9*v. Let l(z) = j*m(z) - 5*k(z). Factor l(f).
-5*f*(f - 10)*(f - 1)
Suppose -2*c + 0*v + 2708 = 3*v, 4*c = -3*v + 5410. Factor -c + 145*b - 4*b**2 - 131 + 47*b - 822.
-4*(b - 24)**2
Let j(p) = 14*p**3 + 29*p**2 + 20*p. Let m(c) = 20*c**3 + 43*c**2 + 30*c. Let z(t) = -7*j(t) + 5*m(t). Find g such that z(g) = 0.
-5, -1, 0
Let i(d) be the second derivative of d**4/30 + 559*d**3/15 - 112*d**2 + 2*d + 436. Solve i(f) = 0.
-560, 1
Let v = 6 - -2. Suppose 2 - 34 = -v*x. Suppose 11*u**2 + u**5 + u**3 + 0*u**x - 7*u**2 - 4*u**4 - 2*u**5 = 0. Calculate u.
-4, -1, 0, 1
Let a = -44004 + 44008. Factor 1/5*y**a + 31/5*y + 33/5*y**2 + 2 + 13/5*y**3.
(y + 1)**3*(y + 10)/5
Suppose 4*n = -12, -5*n = -3*d - 3*n + 12. Suppose -4*x + d*x**3 + x + x**4 - 3*x**2 + 2*x - 3*x + 4 = 0. What is x?
-2, 1
Let w be (36/14)/((3696/(-49))/(-16)). Determine c so that 120/11*c**2 + 0 - 126/11*c**3 + 0*c + w*c**4 = 0.
0, 1, 20
Let s(l) be the first derivative of -5*l**4/4 + 95*l**3/3 + 10*l**2 - 380*l + 1299. Let s(d) = 0. What is d?
-2, 2, 19
Let g(a) be the first derivative of 11 - 722*a + 38*a**2 - 2/3*a**3. Find o, given that g(o) = 0.
19
Suppose 4*k + 24 + 320 = 0. Let p = 96 + k. Factor -p + c**2 + 5 + 5 - 6*c.
c*(c - 6)
Let 25073643 + 3*s**2 + 24084*s - 4740*s - 1998*s = 0. Calculate s.
-2891
Find s, given that -4/3*s**2 + 1084*s + 3256/3 = 0.
-1, 814
Let s(a) be the second derivative of -a**6/80 + a**5/40 + 35*a**2/2 - 34*a. Let p(i) be the first derivative of s(i). Find d, given that p(d) = 0.
0, 1
Let t(k) be the first derivative of -k**4/12 - 82*k**3/3 - 3362*k**2 - 551368*k/3 + 195. Find g, given that t(g) = 0.
-82
Let s(b) be the first derivative of b**4/18 + 16*b**3/27 + 20*b**2/9 + 32*b/9 + 1647. Determine i so that s(i) = 0.
-4, -2
Let s(g) be the first derivative of -g**6/72 + 5*g**5/36 - 6*g**3 + 4*g - 174. Let f(y) be the third derivative of s(y). What is c in f(c) = 0?
0, 10/3
Let a(g) be the third derivative of 0*g - 1/240*g**5 + 2 - 1/48*g**4 - 1/24*g**3 + g**2. Find l, given that a(l) = 0.
-1
Let j(r) be the second derivative of r**5/10 - 8*r**4 - 331*r**3/3 + 378*r**2 - 21*r - 65. Factor j(y).
2*(y - 54)*(y - 1)*(y + 7)
Let i(k) = 37 - 12*k**2 + 9*k**2 - 9 - 17*k + 5*k**2. Let j be i(10). Determine f so that 30*f**3 - 4*f**2 - 14*f**3 + 20*f + j*f**2 - 6*f**3 = 0.
-5, -2/5, 0
Let d(t) = 2*t**2 + 7*t - 9. Let r(p) = p**2 + 12*p - 13. Let c be r(-12). Let j(k) = k**2 + 3*k - 4. Let w(z) = c*j(z) + 6*d(z). Find g such that w(g) = 0.
1, 2
Let m(x) be the first derivative of -744385*x**4/4 + 294945*x**3 - 350595*x**2/2 + 46305*x - 599. Factor m(h).
-5*(53*h - 21)**3
Let f(r) be the first derivative of 2*r**3/9 + 338*r**2/3 + 2220. Factor f(t).
2*t*(t + 338)/3
Let r(g) = 165*g**2 + 26 - 190*g - 150*g**2 + 124*g + 0. Let p be r(4). Factor 64/3 - 32/3*j + 4/3*j**p.
4*(j - 4)**2/3
Let d(x) be the third derivative of x**6/960 + x**5/480 - x**4/32 - 2*x**2 + 124*x. Suppose d(m) = 0. Calculate m.
-3, 0, 2
Determine v so that 0 + 15*v**2 + 34*v**3 + 1/2*v**5 + 9*v**4 - 117/2*v = 0.
-13, -3, 0, 1
Let x(d) be the second derivative of d**4/18 - 7*d**3/3 + 38*d**2/3 + 107*d. Factor x(k).
2*(k - 19)*(k - 2)/3
Let o(f) be the first derivative of 2*f**7/315 - 2*f**6/135 + f**5/135 + 91*f**2 - 87. Let z(p) be the second derivative of o(p). Factor z(r).
4*r**2*(r - 1)*(3*r - 1)/9
Suppose -21*v = 943 - 5479. Let o be (-5 - -2)*(-6)/v*2. Factor 1/2*l**2 + o - 2/3*l.
(l - 1)*(3*l - 1)/6
Let y(m) be the first derivative of -1/360*m**6 - 1/3*m**3 + 0*m**5 + 0*m - 23 + 0*m**2 + 1/6*m**4. Let v(f) be the third derivative of y(f). Factor v(w).
-(w - 2)*(w + 2)
Suppose 2*t = -4*q + 646, -t + 484 = 3*q + t. Let o = q + -93. Factor 0*d**2 - 4*d**4 + o*d**3 - 68*d**3 + 4*d**2 - d**5.
-d**2*(d - 1)*(d + 1)*(d + 4)
Factor -15984/7 - 5184/7*o - 396/7*o**2 + 4/7*o**3.
4*(o - 111)*(o + 6)**2/7
Suppose 342*y + 136*y = 0. Find k such that 0*k - 2/7*k**2 + y*k**3 + 2/7*k**4 + 0 = 0.
-1, 0, 1
Let o be ((3 - 2) + -1)/(4/(-4)). Let d(y) be the third derivative of 1/40*y**6 + 0*y**3 - 1/8*y**4 + o*y**5 + 0*y + 0 - 11*y**2. Factor d(q).
3*q*(q - 1)*(q + 1)
Suppose 18 - 3/2*g**3 + 0*g**2 + 39/2*g = 0. Calculate g.
-3, -1, 4
Suppose -1/7*k**2 + 600/7*k - 90000/7 = 0. Calculate k.
300
Let n = -5 + 7. Let s be (-98)/14 + 24241/7. Find l such that -195*l**4 + 345*l**4 - s*l**n - 324*l**4 - 850*l**4 + 3072*l**3 + 1728*l - 324 = 0.
3/4
Let i = 60739/182220 - -1/182220. Factor -i*r**2 + 0 + 4/3*r.
-r*(r - 4)/3
Let t(g) be the first derivative of -g**5/5 + 14*g**3/3 - 12*g**2 + 33*g - 112. Let i(j) be the first derivative of t(j). Factor i(w).
-4*(w - 2)*(w - 1)*(w + 3)
Suppose 777 = 2*o + 721. Factor 2*s - 181*s**3 - o*s**2 - 180*s**3 + 28 + 359*s**3.
-2*(s - 1)*(s + 1)*(s + 14)
Let w = 130 - 148. Let d be 468/130*(-4)/w. Find f such that d*f - 2/5*f**2 + 6/5 = 0.
-1, 3
Let y(q) be the second derivative of -5/8*q**4 - 1/6*q**6 - 7/2*q**2 - 13/12*q**5 + 0*q**3 + 0 + 5*q. Let d(o) be the first derivative of y(o). Factor d(p).
-5*p*(p + 3)*(4*p + 1)
Let p(n) be the first derivative of n**3 + 45*n**2/2 + 132*n + 1986. Factor p(c).
3*(c + 4)*(c + 11)
Let t be -1 + (-3)/(-1)*6*102/459. Let w(y) be the third derivative of 2*y**t + 0 + 29*y**2 - 1/3*y**4 - 1/15*y**5 + 0*y. Solve w(n) = 0.
-3, 1
Suppose 2464 = 6*g - 2*g - j, 3*g = -j + 1841. Determine s so that -181*s**2 + g*s**3 - 634*s**2 + 15*s**5 + 450*s - 185*s**4 + 14 - 94 = 0.
1/3, 1, 2, 8
Let l(w) be the second derivative of -2*w + 0 + 1/27*w**4 + 1/270*w**5 - 9*w**2 + 1/9*w**3. Let z(r) be the first derivative of l(r). Factor z(b).
2*(b + 1)*(b + 3)/9
Let a = 1901/18 + -748/9. Let r(z) be the first derivative of -20*z - 10*z**3 - a*z**2 - 5/4*z**4 - 6. Factor r(g).
-5*(g + 1)**2*(g + 4)
Let h(p) be the second der