= -16724 + 16726. Let y(z) be the second derivative of 12*z**f + 3/2*z**4 + 25*z + 6*z**3 + 3/20*z**5 + 0. Find p such that y(p) = 0.
-2
Let y(c) be the first derivative of -2*c**3/21 - 260*c**2/7 + 522*c/7 - 3062. Factor y(s).
-2*(s - 1)*(s + 261)/7
Let d(p) be the first derivative of -p**7/280 - p**6/12 - 5*p**5/8 + 44*p**3/3 + 6. Let l(c) be the third derivative of d(c). Solve l(t) = 0.
-5, 0
Suppose 0 = 19*h - 2*h - 51. Let j be 3 + h/1*-1. Factor j + 4/5*x**2 + 0*x + 8/5*x**3 + 4/5*x**4.
4*x**2*(x + 1)**2/5
Solve 72 + 8*n**2 - 1/4*n**3 - 51*n = 0.
2, 6, 24
Let u be (-1430)/(-52) - ((-3)/6 - -1). Solve -87*m**2 + 6*m**2 - 39*m - 26*m**3 - 3*m**2 + u + 3 + 11*m**3 = 0 for m.
-5, -1, 2/5
Let q = 4759/11364 + -2/947. Let i(k) be the first derivative of -180*k + 23 - q*k**3 + 15*k**2. Factor i(h).
-5*(h - 12)**2/4
Suppose 4*q + 241 + 174 = 87*q. Let g(f) be the third derivative of f**2 + 0 + 13/80*f**q + 0*f + 3/8*f**4 + 1/280*f**7 + 1/2*f**3 + 3/80*f**6. Factor g(m).
3*(m + 1)**2*(m + 2)**2/4
Factor 87/2 + 42*a**2 + 345/4*a - 3/4*a**3.
-3*(a - 58)*(a + 1)**2/4
Let o be 59/14 + 197/(-394). Factor o*c + 0 - 2/7*c**2.
-2*c*(c - 13)/7
Determine o so that -720*o - 39*o**2 + 1600 - 1/2*o**3 = 0.
-40, 2
Let p(o) = -2*o**4 - o**2 - o + 2. Let n(d) = 2*d**4 + 956*d**3 - 115192*d**2 + 227530*d - 113292. Let f(q) = n(q) + 2*p(q). Factor f(g).
-2*(g - 238)**2*(g - 1)**2
Let t(j) be the second derivative of -j**4/36 - 373*j**3/18 + 3841*j. Suppose t(z) = 0. What is z?
-373, 0
Let x be 1/((-5)/(-6)*(-459)/(-85) - 4). Let p(h) be the second derivative of 0 + 1/15*h**3 + 7*h + 0*h**x + 1/30*h**4. What is w in p(w) = 0?
-1, 0
Let c(h) be the first derivative of h**5/20 - 5*h**4/8 + 7*h**3/4 + 9*h**2/2 - 27*h + 3720. Determine n so that c(n) = 0.
-2, 3, 6
Let t(z) be the second derivative of z**5/120 - 41*z**4/36 + 26*z**3/3 - 8*z - 46. Let t(i) = 0. Calculate i.
0, 4, 78
Let n(o) be the second derivative of 10*o**3 - 5*o + 65/2*o**2 + 11 - 5/12*o**4. Find g, given that n(g) = 0.
-1, 13
Let y = 63/2195 - -28409/4390. Factor y*o**2 - 3/2 - 7/4*o**3 - 13/4*o.
-(o - 3)*(o - 1)*(7*o + 2)/4
Let t(u) = -8*u**4 - 42*u**3 - 40*u**2 - 6. Let r(c) = -2*c**4 - c**3 - 2*c**2 - 3. Let z(a) = -2*r(a) + t(a). Factor z(g).
-4*g**2*(g + 1)*(g + 9)
Let w(u) be the first derivative of -u**4/12 - 35*u**3/9 - 1268. Factor w(b).
-b**2*(b + 35)/3
Factor 351*p - 1018 - 23*p**2 - 44 + 50*p**2 - 26*p**2.
(p - 3)*(p + 354)
Let r(y) = -7*y**2 + 1031*y + 8375. Let c be r(155). Find o such that -55/2*o**3 - 40 + 115/2*o**2 + 5/2*o**c + 25*o - 35/2*o**4 = 0.
-2, -1, 1, 8
Find j such that 30 - 81*j**2 - 499*j - 102*j**2 + 1133*j**2 + 910 + 5*j**3 + 2384*j = 0.
-188, -1
Let n = 90661 + -88501. Factor 800 - n*h + 1944*h**2 - 2916/5*h**3.
-4*(9*h - 10)**3/5
Factor -180*h + 14*h**2 + 2*h**4 + 2*h**3 + 8*h**3 + 186*h.
2*h*(h + 1)**2*(h + 3)
Suppose 307 - 1043 = 32*y. Let h(o) = 4*o + 95. Let v be h(y). Find t, given that 10/7*t**v - 36/7*t**2 - 27/7 + 54/7*t - 1/7*t**4 = 0.
1, 3
Factor 208*m**4 + 170953875/8*m + 21253725*m**2 - 1/8*m**5 - 461205/4*m**3 + 0.
-m*(m - 555)**3*(m + 1)/8
Let q = 12/1625 + 638/1625. Suppose -o = 4, -3*x + 5*o + 18 = -4*x. Solve 1/5*h + 1/5*h**5 - 4/5*h**x + q + 2/5*h**4 - 2/5*h**3 = 0 for h.
-2, -1, 1
Let h(x) be the third derivative of x**6/200 + 97*x**5/50 - 589*x**4/40 + 197*x**3/5 + 10156*x**2. Factor h(r).
3*(r - 2)*(r - 1)*(r + 197)/5
Suppose 1/2*f**3 - 31/2*f + 0 + 15*f**2 = 0. Calculate f.
-31, 0, 1
Let q(h) = -20*h**2 + 40*h - 24. Let n(g) = -2*g**2 - 1 - g**2 + g + 2*g**2. Suppose 10 = -3*b + 13. Let w(a) = b*q(a) - 8*n(a). Find i, given that w(i) = 0.
2/3, 2
Let w(m) be the third derivative of m**5/300 + 577*m**4/120 + 96*m**3/5 + 9*m**2 + 5. Factor w(i).
(i + 1)*(i + 576)/5
Let v = -73 + 76. Suppose 6*f**4 - 42*f - 5*f**4 + 36*f**2 + 9*f - 10*f**v + 32 - 23*f = 0. What is f?
2, 4
Let q(j) be the first derivative of -j**3/24 - 101*j**2/16 + 103*j/4 + 2923. What is i in q(i) = 0?
-103, 2
Let t be (2 - -6)*(-252)/(-672). Let m(w) be the second derivative of 1/3*w**4 - 1/30*w**6 + 2/3*w**t - 1/20*w**5 + 0 + 19*w + 0*w**2. Factor m(j).
-j*(j - 2)*(j + 1)*(j + 2)
Let m(s) be the second derivative of -9*s**5/10 + 157*s**4/4 - 472*s**3 + 459*s**2/2 - 3869*s. Factor m(z).
-3*(z - 17)*(z - 9)*(6*z - 1)
Let f(x) be the second derivative of -x**6/270 - 17*x**5/12 + 257*x**4/36 - 773*x**3/54 + 43*x**2/3 + x + 1144. Factor f(s).
-(s - 1)**3*(s + 258)/9
Let m(n) = 10*n**2 - 22915*n - 22925. Let s(w) = -w**2 + 2083*w + 2084. Let v(x) = 4*m(x) + 45*s(x). What is b in v(b) = 0?
-1, 416
Let o = 949 + -945. Solve 5*f**2 + 16*f**2 + 14*f**2 + o*f**3 + f**2 + 72 + 108*f + 4*f**2 = 0 for f.
-6, -3, -1
Let l = 20182 - 20179. Factor -3/2*g**l - 3/4*g + 15/8*g**2 + 3/8*g**4 + 0.
3*g*(g - 2)*(g - 1)**2/8
Let v = -593 + 599. Let s be 20/(-5) + 1/(v/27). Factor s*f**2 + 0*f - 1/2.
(f - 1)*(f + 1)/2
Suppose 7*w - 3*m = 2*w + 138, -4*w = -4*m - 104. Let d be w/(-120) - 37/(-4). Factor d*n + 3*n**2 - 50 + 147 - 44 - 47.
3*(n + 1)*(n + 2)
Factor -1200 - 23*o**2 - 320*o - 1/2*o**3.
-(o + 6)*(o + 20)**2/2
Let i be (-1)/(-7)*(0 + 1). Let f be (-176)/168*(-11)/((-264)/(-36)). Factor 12/7 - i*y**2 - f*y.
-(y - 1)*(y + 12)/7
Let z be (-1652)/118 + ((-600)/21)/(-2). Solve z*u**4 + 0 - 26/7*u**3 - 72/7*u + 96/7*u**2 = 0 for u.
0, 1, 6
Let a(w) be the first derivative of w**6/16 - 9*w**5/40 - 21*w**4/32 + 15*w**3/8 + 27*w**2/8 + 1059. Determine k so that a(k) = 0.
-2, -1, 0, 3
Let j(i) = -3*i**2 - 51*i + 120. Let k(q) = 5*q**2 + 77*q - 180. Let f(z) = -8*j(z) - 5*k(z). Factor f(c).
-(c - 20)*(c - 3)
Let f(u) be the third derivative of -u**6/360 - 155*u**5/12 - 600625*u**4/24 - 465484375*u**3/18 + 594*u**2. Solve f(i) = 0.
-775
Let d(i) be the second derivative of i**6/270 + 4*i**5/15 + 383*i**4/54 + 760*i**3/9 + 9025*i**2/18 + 8907*i. Factor d(r).
(r + 5)**2*(r + 19)**2/9
Determine k, given that 62*k**3 - 7251*k**2 - 150*k**3 + 97*k**3 + 4830*k = 0.
0, 2/3, 805
Find o such that 21 - 1/2*o**3 + 12*o**2 - 65/2*o = 0.
1, 2, 21
Suppose -4*w + 6 = -y - 53, -5*w = 4*y - 100. Factor -w*r**2 - 20*r**2 - 20*r**2 + 55*r**2 - 3*r.
-r*(r + 3)
What is n in 25*n**2 + 18533*n**4 + 18534*n**4 - 37066*n**4 + 4*n**2 + 30*n**3 = 0?
-29, -1, 0
Let w be 16 - ((-4)/(-22) - (-2080)/176). Let d(g) be the first derivative of 0*g + 4*g**2 + 31 + 4*g**3 + 9/8*g**w + 1/10*g**5. Factor d(v).
v*(v + 1)*(v + 4)**2/2
Let k be (-5)/(7*45/(-189)). Let l(g) be the first derivative of 31 - 3/8*g**2 - 3/10*g**5 - 5/8*g**k + 33/32*g**4 + 0*g. Suppose l(q) = 0. What is q?
-1/4, 0, 1, 2
Let m(c) be the first derivative of 3*c**4/4 - 10*c**3 + 81*c**2/2 - 54*c - 1019. Let m(o) = 0. Calculate o.
1, 3, 6
Let k(x) = x**3 + 5*x**2 + 5*x + 1. Let f be k(-1). What is o in f*o**5 + 153*o**3 + 27*o**2 + 15*o**2 + o**5 + 126*o**4 + 14*o**5 = 0?
-7, -1, -2/5, 0
Let i(u) be the second derivative of 0 - 4/7*u**2 + u**3 - 5/42*u**4 - 35*u. Solve i(w) = 0.
1/5, 4
Let b(j) be the second derivative of 3*j**5/4 + 3535*j**4/12 - 595*j**3/3 - 1180*j**2 - 30*j - 54. Factor b(t).
5*(t - 1)*(t + 236)*(3*t + 2)
Let r(s) = 15*s**3 + 224*s**2 + 554*s - 800. Let x(q) = 52*q**3 + 784*q**2 + 1940*q - 2800. Let l(j) = 24*r(j) - 7*x(j). Factor l(h).
-4*(h - 1)*(h + 4)*(h + 25)
Let n(p) be the first derivative of p**4/5 + 7*p**3/15 - 7*p**2/5 + 3*p/5 + 4447. Suppose n(w) = 0. What is w?
-3, 1/4, 1
Let d(u) be the second derivative of u - 117649*u**2 - 49/8*u**4 - 2401/2*u**3 - 15 - 1/80*u**5. Factor d(r).
-(r + 98)**3/4
Suppose 0 = -4*k - 485 + 501. Suppose k*a + 17 = 25. Factor -2/5*p**3 + 8/5 + 12/5*p**a - 18/5*p.
-2*(p - 4)*(p - 1)**2/5
Let m be (0 - 6)*1*(-78)/18. Suppose -r + 0*n + 14 = -3*n, 5*r - 4*n = m. Determine w so that -93*w**2 - 85*w**r + 172*w**2 - 2*w**3 = 0.
-3, 0
Suppose -13 = -18*w + 23. Let 4*y**5 + 20 + y**5 - 64*y**4 - 7*y**w - 60*y + 49*y**4 - 5*y**3 + 62*y**2 = 0. What is y?
-2, 1, 2
Let z(v) be the second derivative of v**4/120 + v**3/10 + v**2/4 - 2044*v. Factor z(b).
(b + 1)*(b + 5)/10
Let n(w) be the first derivative of w**3/6 - 695*w**2/2 + 483025*w/2 + 4350. Factor n(h).
(h - 695)**2/2
Let o(v) be the third derivative of -v**8/1512 + 26*v**7/945 + v**6/540 - 13*v**5/135 + 750*v**2. Solve o(m) = 0.
-1, 0, 1, 26
Factor -684 - 5*y**3 - 4