rmine t, given that k(t) = 0.
1, 2
Factor -84099/4*t - 83521/4 - 1/4*t**3 - 579/4*t**2.
-(t + 1)*(t + 289)**2/4
Let o(p) be the third derivative of -p**5/150 + 3*p**4/2 + 1456*p**3/15 - 6956*p**2. Factor o(u).
-2*(u - 104)*(u + 14)/5
Factor -8/3*y**2 + 8/3*y - 2*y**3 + 0 + 2/3*y**5 + 4/3*y**4.
2*y*(y - 1)**2*(y + 2)**2/3
Let b(l) = -21*l**2 - 867*l - 450. Let i(y) = 42*y**2 + 1735*y + 907. Let g(a) = 11*b(a) + 6*i(a). Suppose g(k) = 0. What is k?
-41, -4/7
Suppose -5*y + 2*b = -10, 3*y + b + 0 = 6. Let d(u) = 2*u**2 - 2*u - 2. Let o be d(2). Suppose -4*l**2 - 15 - l**2 + 4*l**o + 10*l + 6*l**y = 0. Calculate l.
-3, 1
Let y(p) be the second derivative of p**7/56 - p**6/5 - 963*p**5/80 - 191*p**4/2 + 40*p**3 + 576*p**2 - 578*p. Suppose y(u) = 0. Calculate u.
-8, -1, 1, 24
Let i(o) be the third derivative of -47*o**2 - 2 + 0*o + 0*o**3 + 1/4*o**4 + 0*o**6 + 7/60*o**5 - 1/210*o**7. Suppose i(k) = 0. What is k?
-2, -1, 0, 3
Let n(m) = 2*m**2 - 2*m - 1. Let j(a) = a**3 + 132*a**2 + 4767*a + 3. Let b(h) = -2*j(h) - 6*n(h). Factor b(c).
-2*c*(c + 69)**2
Let g be (-2 - (-16)/2) + -2. Let -218*c**3 - 296*c**3 + 80*c**2 + 845*c**g - 6*c**3 = 0. Calculate c.
0, 4/13
Let d(v) = v**2 - 2*v + 1. Let t(a) = -17*a - 9*a**2 + 9*a + 25 - 52. Let r(q) = -14*d(q) - 2*t(q). Determine f so that r(f) = 0.
-10, -1
Let c(j) be the first derivative of 4*j**3/21 - 128*j**2 - 1796*j/7 - 971. Let c(g) = 0. What is g?
-1, 449
Let s(l) be the first derivative of -2*l**5/75 - 13*l**4/15 - 386*l**3/45 - 104*l**2/5 - 96*l/5 + 5283. Factor s(o).
-2*(o + 1)**2*(o + 12)**2/15
Suppose 88 = y + 4*v, -4*v + 272 = -5*y + 8*y. Find z, given that -2*z - 93*z**3 - 5*z**2 + 8*z**2 + y*z**3 = 0.
0, 1, 2
Let k be (-12)/6 + -3 + 7. Find d such that 480*d + 4 + 11825*d**4 + 565*d**2 - k + 14100*d**3 - 1825*d**4 + 3999*d**2 + 14 = 0.
-1, -1/4, -2/25
Let v(x) = -x**3 + 10*x**2 - 22*x + 10. Let r be v(7). Factor -r*k**3 - 12 + 2*k**2 - 431*k**4 - 29*k**2 + 434*k**4 - 33*k.
3*(k - 4)*(k + 1)**3
Suppose -9*m + 12 = -3*m. Suppose 2*y**4 + 9*y**3 - 5*y**5 - 10*y + 35*y**m - 54*y**3 + 23*y**4 = 0. What is y?
0, 1, 2
Let x be (53 + 2790/(-50))/(36/(-225)). Let 13/4*s**3 + 5/4*s**5 + 7*s**4 + 0 + 6*s - x*s**2 = 0. What is s?
-4, -3, 0, 2/5, 1
Solve -552/5*t - 4/5*t**3 + 0 + 196/5*t**2 = 0 for t.
0, 3, 46
Let f = 212 + -209. What is k in 22*k**3 - 18*k**2 - 24*k**f + 42 - 16*k - 6*k = 0?
-7, -3, 1
Let n be ((-1830)/4)/((-46)/92). Let a = 3681/4 - n. Factor 57/4*y**3 + 12*y - 75/4*y**2 - a*y**4 + 3/4*y**5 - 3.
3*(y - 2)**2*(y - 1)**3/4
Let r(q) = -5*q**4 + 316*q**3 - 12482*q**2 + 18*q - 3. Let z(u) = -16*u**4 + 948*u**3 - 37446*u**2 + 60*u - 10. Let b(w) = -10*r(w) + 3*z(w). Factor b(l).
2*l**2*(l - 79)**2
Solve -297*y - 3*y**3 + 4*y**3 + 4*y**3 - 95*y + 17*y + 370*y**2 = 0.
-75, 0, 1
Let x be 63/(-6) - 0 - (-1)/2. Let f = x + 88. Factor -f*z - 300 - 12*z - 3*z**2 + 28*z + 2*z.
-3*(z + 10)**2
Let q(b) be the second derivative of b**7/630 - b**6/30 + 4*b**5/15 - 47*b**4/12 - b**2 - 40*b - 1. Let x(f) be the third derivative of q(f). Factor x(c).
4*(c - 4)*(c - 2)
Let x(r) be the first derivative of 5*r**4/12 - 7*r**3/6 + r**2 - 66*r + 73. Let h(p) be the first derivative of x(p). Factor h(j).
(j - 1)*(5*j - 2)
Let v = -8308 - -12082. Solve -2*l**2 - 400*l - 2318 - 3*l**2 + 0*l**2 - 1908 - v = 0 for l.
-40
Factor 3963*d**4 + 6*d**2 - d**5 + 295*d - 150 + 6*d**5 + 4*d**2 - 3823*d**4 - 300*d**3.
5*(d - 1)**3*(d + 1)*(d + 30)
Let p(k) be the first derivative of 2*k**5/5 - 32*k**4 + 124*k**3 - 184*k**2 + 122*k + 710. What is s in p(s) = 0?
1, 61
Let w(m) = 23*m**3 + 75*m**2 - 38*m - 152. Let p(l) = -15*l**3 - 50*l**2 + 25*l + 110. Let g(h) = -8*p(h) - 5*w(h). Factor g(y).
5*(y - 2)*(y + 3)*(y + 4)
Suppose 15*y - 1/2*y**2 + 68 = 0. What is y?
-4, 34
Let z(k) = 90*k - 75. Let b(u) = -u**2 - 199 + 197 - u + u. Let a(p) = 5*b(p) + z(p). Find l, given that a(l) = 0.
1, 17
Let a(y) = -9*y - 218. Let j be a(-25). Factor -j*u**3 - 2*u**4 - 5*u**4 + 12*u**2 - 9*u**3 + 3*u**4 + 72*u.
-4*u*(u - 2)*(u + 3)**2
Suppose -1035*v + 85*v = -40*v - 3640. Factor 8/3*b - 260*b**v + 0 - 40*b**2 + 554/3*b**3 + 338/3*b**5.
2*b*(b - 1)**2*(13*b - 2)**2/3
Let m(v) be the second derivative of 599427*v**5/20 - 200703*v**4/4 + 895*v**3/2 - 3*v**2/2 + 3*v - 113. Factor m(s).
3*(s - 1)*(447*s - 1)**2
Let s = 10/2919 - 2857741/11676. Let v = s - -245. Factor -9/2 + 13/4*c**2 + 3/4*c - 7/4*c**3 + v*c**4.
(c - 3)**2*(c - 2)*(c + 1)/4
Let f(c) be the third derivative of c**6/360 + c**5/12 + 11*c**4/18 + 55*c**2 + 6. Factor f(t).
t*(t + 4)*(t + 11)/3
Let g(v) be the third derivative of 177*v**2 - 41/40*v**4 - 3*v**3 - 1/200*v**6 + 0*v + 0 - 3/25*v**5. Factor g(h).
-3*(h + 1)*(h + 5)*(h + 6)/5
Let u = -274 - -275. Let u + 0 - 4 - 2*x + x**2 = 0. What is x?
-1, 3
Let g(w) be the first derivative of -4*w**2 + 0*w - 65 - 7/20*w**5 + 8/3*w**3 + 3/8*w**4 + 1/24*w**6. Factor g(k).
k*(k - 4)**2*(k - 1)*(k + 2)/4
Find h, given that -253692 + 3/2*h**4 + 33534*h - 75/2*h**3 - 891*h**2 = 0.
-29, 18
Let c be (-135)/(-33) - 10/110. Suppose -96*m**c + 672*m + 3032*m**2 + 533*m**4 + 70*m**4 - 368*m**2 + 2184*m**3 + 48 = 0. Calculate m.
-2, -2/13
Suppose 5*o + 53*w = 49*w + 20, -5*o = -3*w - 20. Let 135 - 15*j**3 - 2*j**3 + o*j**4 - 132*j**2 - 15*j**3 - 135 = 0. Calculate j.
-3, 0, 11
Let g(p) be the second derivative of 5*p**7/252 - 23*p**6/90 - 11*p**5/24 + 16*p**4/9 + 53*p**3/9 + 20*p**2/3 + 811*p. Determine w, given that g(w) = 0.
-1, -4/5, 2, 10
Let v(y) be the first derivative of y**4/10 - 1868*y**3/15 + 218089*y**2/5 - 105. Determine g, given that v(g) = 0.
0, 467
Suppose 4*w = 5*o - 312, 3*w - 15*o = -12*o - 234. Let v = w + 78. Solve 10/13*g**3 + 8/13*g - 32/13*g**2 + 14/13*g**4 + v = 0.
-2, 0, 2/7, 1
Suppose -n = 2*t - 30, n - 5 - 28 = -5*t. Suppose 4*x = 4*m + n, -2*x - 2*x + 19 = -m. Factor 11*h**5 - 9*h**5 - 3*h**3 - 2*h**4 - 2*h**3 + 2*h**2 + 3*h**x.
h**2*(h - 1)*(h + 2)*(2*h - 1)
Let o(g) be the third derivative of g**6/30 - 13*g**5/5 - 21*g**4 - 476*g**2. Factor o(f).
4*f*(f - 42)*(f + 3)
Let n(g) be the third derivative of g**9/70560 - 19*g**8/35280 + g**7/735 - 37*g**5/60 - 248*g**2. Let f(s) be the third derivative of n(s). Factor f(y).
2*y*(y - 12)*(3*y - 2)/7
Let t(w) = -4*w**2 - 93*w - 26. Let b be t(-23). Let x be 103/22 + b + (-6)/33. Factor 0 - 3/4*g**2 - x*g.
-3*g*(g + 2)/4
Let u(n) = 5*n + 0*n - 2*n**2 + 9*n**2. Let g(o) = 2*o + 3*o**2 + 6*o - 6*o + 0*o**2. Let l(y) = 9*g(y) - 4*u(y). Factor l(q).
-q*(q + 2)
Let p(h) be the third derivative of 17*h**6/720 + h**5/120 - 22*h**3/3 + h**2 + 32. Let m(z) be the first derivative of p(z). Factor m(a).
a*(17*a + 2)/2
Let q = 1317699 - 1317659. Find g, given that 69120*g - 165888 + 960*g**3 + 2/3*g**5 - 11520*g**2 - q*g**4 = 0.
12
Factor -9 - 45/2*u**2 - 9/2*u**3 - 51/2*u + 3/2*u**4.
3*(u - 6)*(u + 1)**3/2
Suppose -2*f = 2*o, -f = 90*o - 94*o - 5. Let i be 4 - (-12 - (-12 - f)). Determine n so that 0 + 2/5*n**i + 1/10*n**4 + 1/2*n**2 + 1/5*n = 0.
-2, -1, 0
Determine p, given that -3/2*p**3 + 13/4*p**2 + 1/8*p**5 - 9/4 - p**4 + 11/8*p = 0.
-2, -1, 1, 9
Find x such that -6034*x**4 - 3795*x**2 - 369*x**3 - 3380*x - x**5 - x**2 + 6080*x**4 = 0.
-5, -1, 0, 26
Let b(d) = 4*d**2 + 420*d + 3680. Let j(h) = -15*h**2 - 1540*h - 13490. Let w(z) = 29*b(z) + 8*j(z). Factor w(m).
-4*(m + 15)*(m + 20)
Let a(j) be the second derivative of -1265/12*j**4 + 17*j - 1/6*j**6 + 15/2*j**5 + 350*j**3 + 1 - 490*j**2. Suppose a(y) = 0. Calculate y.
1, 14
Let h = -256045 + 768137/3. Suppose 0*o - 8/3 + 1/6*o**5 - h*o**3 - 1/2*o**4 + 8/3*o**2 = 0. Calculate o.
-2, -1, 2
Let o(z) = -z**4 + z**3 - z**2 - z. Let a(r) = -5*r**4 + 10*r**3 + 43*r**2 + 80*r + 44. Let f = -905 + 885. Let g(m) = f*o(m) + 5*a(m). Factor g(p).
-5*(p - 11)*(p + 1)*(p + 2)**2
Let o be (2 - -20011)*(-7)/((-1071)/6). Let t = o + -784. Solve 4/17*n**2 + t*n + 10/17 = 0.
-5/2, -1
Let k(j) = -j**2 - 2. Let s be 516/301 + (-2)/(-7) + 0. Let i(v) = 3*v**4 + 23*v**3 + 39*v**2 - 16*v - 2. Let r(d) = s*i(d) - 2*k(d). Let r(x) = 0. What is x?
-4, 0, 1/3
Let f(a) be the first derivative of -55 - 2*a**5 + 17*a**2 - 2/3*a**3 + 12*a - 17/2*a**4. Find w such that f(w) = 0.
-3, -1, -2/5, 1
Let d = 31 + -27. Suppose d*p + 4*v + 3 = -v, p - 6 = v. What is f in -f**