he first derivative of -13 + 5/2*z**3 + 0*z**2 + 8*z - 55/6*z**4 + 175/16*z**5 - 49/24*z**6. Let w(u) be the first derivative of c(u). Factor w(j).
-5*j*(j - 3)*(7*j - 2)**2/4
Let c be (0 - 4/(-3))*15/10. Let b = -9 + 12. Factor 7*m**3 - 6*m**3 - 3*m**b + 2*m + 0*m**3 - 5*m**4 + 5*m**c.
-m*(m - 1)*(m + 1)*(5*m + 2)
Let d be ((-11)/(396/42))/((-56)/3384). Factor 0 + d*b + 3/2*b**2.
3*b*(b + 47)/2
Suppose -89*x - 4 = -90*x. Factor -4 + 40 - 8*i**3 + x*i + 5*i**3 + 20*i - 15*i**2.
-3*(i - 2)*(i + 1)*(i + 6)
Suppose 230 = 2*x + 1066. Let w = 420 + x. Let 8/11*j + 2/11*j**w + 8/11 = 0. What is j?
-2
Let m(d) be the first derivative of d**4/24 - 31*d**3/18 + 287*d**2/12 - 833*d/6 + 6687. Factor m(x).
(x - 17)*(x - 7)**2/6
Let k(i) be the second derivative of 27 + 3*i - 2/3*i**4 + 7/5*i**5 + 0*i**2 - 2/3*i**3 - 8/15*i**6. Factor k(n).
-4*n*(n - 1)**2*(4*n + 1)
Suppose -4447 - 6228 = -5*z. Let o be (2 - z/(-30)) + 1/(-6). Factor -73*g - 3 + o*g - 5 + 2*g**2.
2*(g - 2)*(g + 2)
Let s(c) be the second derivative of -2*c**6/45 - c**5/3 - c**4/36 + 13*c**3/3 + 12*c**2 - 8*c + 46. Determine n so that s(n) = 0.
-4, -3/2, 2
Let y = 32335/6 + -32327/6. Find s, given that 16/3*s**2 - 1/3*s**5 + 4*s - y*s**4 + 0 + 1/3*s**3 = 0.
-3, -2, -1, 0, 2
Determine a, given that -12960/7*a - 60/7*a**4 + 450/7*a**3 + 1080/7*a**2 - 31104/7 + 2/7*a**5 = 0.
-3, 12
Let d(k) be the first derivative of -k**4/18 - 7*k**3/9 - 2*k**2 + 126*k + 74. Let l(y) be the first derivative of d(y). Factor l(f).
-2*(f + 1)*(f + 6)/3
Let w(c) be the second derivative of -1/90*c**4 - 4/3*c**2 - 16/45*c**3 + c - 60 + 1/150*c**5. Factor w(k).
2*(k - 5)*(k + 2)**2/15
Let o(r) = r**3 + 4*r**2 + r - 4. Let p be o(-3). Let h be 12/(-66) + (-105)/(-33) + -1. Factor -15*u - p - u**2 - 8 - 4*u**h.
-5*(u + 1)*(u + 2)
Let f(y) = -y**3 + 84*y**2 - 1714*y - 500. Let d be f(36). Factor 4/7*s**5 - 13/7*s - 6/7 + 1/7*s**2 + 3*s**3 + 17/7*s**d.
(s + 1)**3*(s + 2)*(4*s - 3)/7
Let n = -563528 - -2817642/5. Factor 4/5 - n*x - 2/5*x**2.
-2*(x - 1)*(x + 2)/5
Let y be 15 + -16 + ((-28)/24*-2)/1. What is d in 4/3*d**3 - 4/3*d + 4/3*d**2 - y = 0?
-1, 1
Factor -80*z**4 + 16*z + 5*z**5 + 7*z - 20*z**3 - 32*z + 10*z**2 + 24*z + 70*z**4.
5*z*(z - 3)*(z - 1)*(z + 1)**2
Let m = 171841/3354 + -666/13. Let l = m + 57/86. Find v, given that -l*v + 1/3 + 1/3*v**2 = 0.
1
Let m(w) be the third derivative of -3/14*w**3 + 0 + 5/84*w**4 - 1/420*w**5 + 0*w - 203*w**2. Factor m(a).
-(a - 9)*(a - 1)/7
Let v(q) = -22*q - 30. Let z be v(-5). Let w be (-1 - 3)*(-6)/z. Factor -1/5*p**4 + 2/5*p + 2/5*p**2 + 0 + 1/10*p**5 - w*p**3.
p*(p - 2)**2*(p + 1)**2/10
Let t(p) be the first derivative of p**6/36 - 7*p**5/10 - 23*p**4/24 + 7*p**3/6 + 11*p**2/6 + 13655. Let t(l) = 0. What is l?
-1, 0, 1, 22
Let p be (0 + 27/(-3))/(96/(-1280)). Let b be 1*2/(-4)*p/(-570). Find w such that 0 - b*w**3 + 2/19*w**2 - 2/19*w**4 + 2/19*w = 0.
-1, 0, 1
Find x, given that -920*x**2 - 113*x - 932*x**3 - 32 - 416*x**4 - 190*x + 128*x - 68*x**5 - 193*x = 0.
-2, -1, -2/17
Let y(n) = n + 5. Let l(j) = -2*j**2 - 1394*j + 2838. Let p(d) = l(d) - 6*y(d). What is o in p(o) = 0?
-702, 2
Let m be 2/(-12) + 1708/24. Let b = 0 - -3. Factor 9*g**b - m*g**2 + 9*g**3 + 71*g**2 - 3*g**4.
-3*g**3*(g - 6)
Suppose -p + 130 = -4*x, 4*p - 13*x + 9*x - 460 = 0. Let i be 2/10 + (-2)/p. Factor 4/11*w - 5/11*w**2 - 1/11 + i*w**3.
(w - 1)**2*(2*w - 1)/11
Suppose -18*h + 23*h = 10. Suppose 35*j**5 + 533*j**2 + 35*j**3 + 225*j**3 - 593*j**h - 185*j**4 = 0. Calculate j.
0, 2/7, 2, 3
Let i(z) = -z**2 + 32*z - 24. Let g be i(29). Let c be (g/(-147))/(2/(-7)). Find j such that 9/2*j**2 - c*j**4 - 1 + 3/2*j + 1/2*j**3 = 0.
-1, 1/3, 2
Suppose -33*q + 54 = -27*q. Suppose 2*a + 0*a = 3*x + 13, 3*x + q = 0. Determine z, given that 6*z**3 + 3*z**a + 72*z - 3*z**4 + 0*z**4 - 78*z = 0.
-1, 0, 1, 2
Let w(q) be the second derivative of -3*q**5/80 + 55*q**4/12 - 289*q**3/24 + 9*q**2 + 1566*q. Factor w(y).
-(y - 72)*(y - 1)*(3*y - 1)/4
Let y(j) be the first derivative of j**6/480 - j**5/40 + j**4/8 + 4*j**3/3 - 25*j + 9. Let h(m) be the third derivative of y(m). Find d, given that h(d) = 0.
2
Find p such that 145924/7 + 764/7*p + 1/7*p**2 = 0.
-382
Let g(f) be the first derivative of -f**6/30 - 14*f**5/25 - 11*f**4/5 + 22*f**3/3 + 105*f**2/2 + 1445. Find i such that g(i) = 0.
-7, -5, 0, 3
Let h be (5 - 6)*(-38 - -33). Determine z so that 18/7*z**2 - 51/7*z - 15/7*z**h + 9/7 + 66/7*z**3 - 27/7*z**4 = 0.
-3, -1, 1/5, 1
Let n be -29 - ((-460)/46 + -19). Solve 4/9*k + 2/9*k**3 - 2/3*k**2 + n = 0 for k.
0, 1, 2
Factor 12760/3*u + 10176100/3 + 4/3*u**2.
4*(u + 1595)**2/3
Let x(j) = 37*j - 703. Let f = -1945 + 1964. Let u be x(f). Suppose -7/2*y**2 + u + 3/2*y = 0. Calculate y.
0, 3/7
Suppose 1107 = 352*a + 379 + 24. Factor 26/5*v**a + 648/5 + 28/5*v**3 - 504/5*v + 2/5*v**4.
2*(v - 2)**2*(v + 9)**2/5
Let s(p) be the second derivative of 2*p**6/15 + 44*p**5/5 + 106*p**4 - 8200*p**3/3 - 8750*p**2 - 3652*p. Factor s(q).
4*(q - 7)*(q + 1)*(q + 25)**2
Let k = 215 + -182. Suppose -k*w + 210 = -23*w. Solve -18 + 3/2*t**3 - w*t**2 + 75/2*t = 0 for t.
1, 12
Let s = -1534 + 955. Let j = s + 581. Factor 1/5*h**j - 1/10*h**3 - 3/5 + 1/2*h.
-(h - 3)*(h - 1)*(h + 2)/10
Suppose 0 = -2*w - t + 24, 5*t = -4*w + 244 - 148. Suppose 4/3*i**w + 1/3*i**5 - 2*i**2 + 0*i + 1/3*i**3 + 0 = 0. What is i?
-3, -2, 0, 1
Let d(m) be the third derivative of m**8/168 + 16*m**7/21 + 31*m**6/12 - 8*m**5/3 - 13*m**4 - 3669*m**2. Solve d(n) = 0 for n.
-78, -2, -1, 0, 1
Let n(w) be the first derivative of 4/3*w**3 + 120*w + 34*w**2 + 200. Suppose n(p) = 0. Calculate p.
-15, -2
Let s(j) be the first derivative of 2*j**7/315 + 7*j**6/90 + 16*j**5/45 + 2*j**4/3 - 41*j**2/2 + 57. Let f(k) be the second derivative of s(k). Factor f(m).
4*m*(m + 2)**2*(m + 3)/3
Let p(u) = -5*u**2 + 598*u + 4275. Let j(x) = -45*x**2 + 5410*x + 38475. Let f(w) = 6*j(w) - 55*p(w). Factor f(z).
5*(z - 95)*(z + 9)
Suppose -5*z + 2*t + 302 = 0, -4*z + 322 = z + 3*t. Suppose 3*s - z = -4*k + 46, 4*k = -2*s + 68. Suppose 6 - 12 + 0 - 80*m**2 - s*m + 1 = 0. What is m?
-1/4
Let k(f) be the third derivative of -f**6/120 + 11*f**5/40 - 15*f**4/4 - 73*f**3/6 + 2*f**2 + 3*f. Let m(t) be the first derivative of k(t). Solve m(n) = 0.
5, 6
Let v(p) be the first derivative of p**6/18 - p**4/3 + 2*p**3/9 + p**2/2 - 2*p/3 - 222. Factor v(j).
(j - 1)**3*(j + 1)*(j + 2)/3
Let w(p) be the first derivative of 0*p - 44/5*p**5 - 20/3*p**3 - 2/3*p**6 - 33*p**4 + 88 + 100*p**2. Find i, given that w(i) = 0.
-5, -2, 0, 1
Let w = 15 + -6. Let i be 15/10*24/w. Find p such that i*p**3 + 4*p**2 - 8*p**4 - 3*p**2 - 4*p**5 + 7*p**2 = 0.
-2, -1, 0, 1
Let p(c) be the third derivative of -c**5/15 - 449*c**4/2 + 2696*c**3/3 + 3046*c**2. Factor p(x).
-4*(x - 1)*(x + 1348)
Let c be (110/10 - 5) + -2. Let z(b) be the third derivative of 16/9*b**3 - 2/9*b**c + 1/90*b**5 + 0 - 25*b**2 + 0*b. Factor z(r).
2*(r - 4)**2/3
Let 972 - 1/5*k**3 - 21/5*k**2 + 216/5*k = 0. Calculate k.
-18, 15
Suppose 18*d - 2 = 20*d, 5*c - 2*d - 167 = 0. Factor 772*j**3 + 68*j**2 + 3*j + c*j - 744*j**3 - 4*j**4.
-4*j*(j - 9)*(j + 1)**2
Let g(v) = 2*v**3 + 37*v**2 - 25*v - 26. Let j be g(-19). Find w, given that 36*w - 11*w + 108 + 0*w - 6*w**2 - j*w = 0.
-12, 3/2
Let t be 1*26/8 - (11 + (-3151)/276). Determine i, given that 4/3*i**4 - i**2 + 0 + 0*i + t*i**3 = 0.
-3, 0, 1/4
Let k(i) be the second derivative of 9/2*i**2 + 5/3*i**3 + 0 + 1/12*i**4 - 14*i. Factor k(h).
(h + 1)*(h + 9)
Let x = -1/208 - -211/624. Let u(o) be the second derivative of 0 - x*o**4 - 72*o**2 + 8*o**3 + 6*o. Solve u(w) = 0 for w.
6
Factor -17/4*l - 18 - 1/4*l**2.
-(l + 8)*(l + 9)/4
Let p = -9 - -11. Suppose -5*f = -4*i - 28, 431*f = 436*f - 40. Factor 0 - 3/2*o**p + i*o.
-3*o*(o - 2)/2
Let i = -55 - -57. Suppose -i*q + 25 = -29. Determine p, given that 8*p**2 + 29 - 4*p**3 + q - 64 + 4*p = 0.
-1, 1, 2
Let r(p) be the first derivative of 3*p**3 - 1/2*p**2 - 9*p + 1/4*p**4 + 56. Solve r(w) = 0.
-9, -1, 1
Let q(b) = -5*b**4 + 565*b**3 - 1170*b**2 - 1730*b - 40. Let z(g) = 2*g**4 + g**2 + g + 8. Let k(u) = q(u) + 5*z(u). Factor k(a).
5*a*(a - 3)*(a + 1)*(a + 115)
Let a(m) be the first derivative of m**3/12 + 37*m**2/8 + 105*m/2 + 1281. Factor a(t).
(t + 7)*(t + 30)/4
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