c) be the first derivative of 6*c**3 - 4 - 15/2*c**2 - 36*c - 3/4*c**4. Find r, given that q(r) = 0.
-1, 3, 4
Let b(j) be the first derivative of -39 - 24*j - 1/3*j**3 - 11/2*j**2. Suppose b(w) = 0. Calculate w.
-8, -3
Let o be -4 - 19/(76/(-24)). Determine w, given that 3*w**2 - 2*w**o + 1312*w**5 - 5*w**4 - 1313*w**5 - 5*w**2 - 8*w**3 = 0.
-2, -1, 0
Let d(y) be the third derivative of 2/75*y**6 + 0 + 32*y**2 + 0*y + 1/15*y**4 + 0*y**3 - 3/25*y**5. Factor d(c).
4*c*(c - 2)*(4*c - 1)/5
Suppose -3*x + 5*f + 97 = 0, 3*x + 4*f + 526 - 605 = 0. Let r(t) be the second derivative of -x*t - 2*t**2 + 4/9*t**3 + 0 - 1/36*t**4. Factor r(b).
-(b - 6)*(b - 2)/3
Let y(q) be the first derivative of 3*q**4/16 - 19*q**3/8 + 9*q**2/2 - 3122. Factor y(b).
3*b*(b - 8)*(2*b - 3)/8
Let u = 374 + 276. Suppose 650 = 3*j + u. Factor j*i + 0 - 3/4*i**2.
-3*i**2/4
Let m = 40/16189 + 48367/80945. Factor 2*t**3 + 31/5*t**2 + 0 + m*t.
t*(t + 3)*(10*t + 1)/5
Suppose -201140*s + 200537*s + 1809 = 0. Factor 25*j**2 + 8 + 9*j**s + 1/3*j**4 + 73/3*j.
(j + 1)**3*(j + 24)/3
Let b(u) be the second derivative of 46*u**7/21 - 88*u**6/15 - 993*u**5/5 - 1006*u**4/3 - 160*u**3/3 + 286*u. Find h, given that b(h) = 0.
-5, -1, -2/23, 0, 8
Suppose -408*o + 410*o + 10 = 0. Let z(j) = -2*j**3. Let w(g) = 9*g**3 - 6*g**2. Let m(l) = o*z(l) - w(l). Factor m(n).
n**2*(n + 6)
Suppose 0*h + 19 = 4*q - 3*h, 1 = -q - 5*h. Suppose q = -0*b + b. Factor 3*a**2 - 5*a**2 + 3*a**2 + 5*a**2 + b*a.
2*a*(3*a + 2)
Let h be -16 + 21 - (4 + -5 + 2). Let j(f) be the second derivative of 0*f**3 - 1/20*f**5 + 0*f**h - 8*f - 1/60*f**6 + 1/84*f**7 + 0*f**2 + 0. Factor j(o).
o**3*(o - 2)*(o + 1)/2
Suppose -7 + 7 = 2*h. Let i be (-3 - -2) + 4 + h. Suppose 3*y**4 + 3*y**5 - 5*y**3 - y**5 - y**5 + 7*y**i = 0. What is y?
-2, -1, 0
Let i(z) = 12*z**4 - 64*z**3 + 424*z**2 - 804*z - 8. Let t(q) = 14*q**4 - 62*q**3 + 425*q**2 - 805*q - 10. Let m(x) = 5*i(x) - 4*t(x). Factor m(k).
4*k*(k - 8)*(k - 5)**2
Let m(p) be the second derivative of -2*p**7/21 - 8*p**6/3 - 15*p**5 + 760*p**4/3 + 12160*p**3/3 + 21504*p**2 + 403*p - 12. Determine w so that m(w) = 0.
-8, -3, 7
Let j(d) be the third derivative of -d**8/1512 + 19*d**7/945 - 73*d**6/540 + 11*d**5/90 + 7*d**4/6 - 2715*d**2. Find a such that j(a) = 0.
-1, 0, 3, 14
Let j be (6*(-95)/114)/((-9)/3). Suppose -2 - j*x**3 + 7/3*x**2 - 1/3*x**4 + 5/3*x = 0. What is x?
-6, -1, 1
Let p(g) be the second derivative of g**6/165 + 3*g**5/110 - 3*g**4/22 + 5*g**3/33 - 2*g - 7. Suppose p(u) = 0. What is u?
-5, 0, 1
Suppose 3*i + 0*i = 96. Suppose 3*p - 9 - 3 = 0, -4*t - 4*p = -i. Factor 83*r - 2*r**3 - 85*r + t*r**3.
2*r*(r - 1)*(r + 1)
Let h = -49119/11 - -4467. Determine r so that h - 2/11*r**2 + 16/11*r = 0.
-1, 9
Let i(v) = v**2 - 267*v - 3638. Let d be i(-13). Factor 2/3*t**5 + 0*t + 2/3*t**4 + 0 - 2/3*t**3 - 2/3*t**d.
2*t**2*(t - 1)*(t + 1)**2/3
Let o(w) be the first derivative of 4*w**5/5 - 22*w**4/5 + 32*w**3/15 + 749. Factor o(y).
4*y**2*(y - 4)*(5*y - 2)/5
Suppose 5*d = h - 3*h + 15, h - 15 = -5*d. Solve -d*b**2 - 103*b - 2809 + 4*b**2 - 2*b**2 - 3*b = 0 for b.
-53
Let n(x) = 2*x**5 - 16*x**3 + 12*x**2 + 6*x + 4. Let g be (-24)/60 - (-6)/(-10). Let m(r) = r**3 - r**2 - 1. Let w(i) = g*n(i) - 8*m(i). Factor w(h).
-2*(h - 1)**3*(h + 1)*(h + 2)
Suppose -33465*u + 33387*u = -234. Determine i so that 4/5*i**u + 0 - 4/5*i + 2/5*i**2 - 2/5*i**4 = 0.
-1, 0, 1, 2
Let w(d) be the first derivative of -d**5/270 + d**4/18 - 5*d**3/27 - d**2/2 - 32*d + 88. Let r(i) be the second derivative of w(i). Solve r(f) = 0.
1, 5
Let t = -7818302/9 - -869691. Let y = t + -989. Factor y - 2/9*m**2 - 4/9*m.
-2*(m - 2)*(m + 4)/9
Solve 24*a**2 - 9*a**4 + 34*a**4 - 329*a**2 - 120*a - 160*a**3 = 0.
-1, -3/5, 0, 8
Let s(w) be the third derivative of -w**6/240 - 39*w**5/40 + 2614*w**2. Factor s(j).
-j**2*(j + 117)/2
Let v(a) = 4*a**4 + a**2 + a - 1. Let p(r) = 21*r**4 - 54*r**3 + 208*r**2 - 145*r - 5. Let w(s) = -p(s) + 5*v(s). Factor w(g).
-g*(g - 50)*(g - 3)*(g - 1)
Let z be ((-706)/5295)/(1 + -2). Let r(w) be the first derivative of 3 + 1/6*w**4 - 2/9*w**3 + z*w**5 + 0*w - 1/3*w**2. Solve r(h) = 0.
-1, 0, 1
Let z = 406 + -398. Let q(g) = -18*g**2 + 516*g + 11086. Let f(t) = 11*t**2 - 344*t - 7391. Let w(p) = z*f(p) + 5*q(p). Let w(u) = 0. Calculate u.
-43
Let y be -7 - (-1 + (-15 - -7)). Determine w so that 56*w**4 + 3*w**5 - 12*w**y + 10*w**3 - 5*w**5 - 52*w**4 = 0.
-2, 0, 1, 3
Suppose k = 3*i, -76 = 5*k + 2*i + 2*i. Let v be k/14 + 12/14. Suppose -22/7*b**3 + 26/7*b**2 - 26/7*b**4 + 10/7*b**5 + 12/7*b + v = 0. Calculate b.
-1, -2/5, 0, 1, 3
Let t(r) be the second derivative of 1/4*r**4 - 5 - 3/2*r**2 + 0*r**3 + 2*r. Determine a, given that t(a) = 0.
-1, 1
Let m(o) be the second derivative of -o**7/23940 - 11*o**6/6840 + o**4/3 - 2*o**3 - 89*o. Let b(l) be the third derivative of m(l). Let b(x) = 0. What is x?
-11, 0
Determine m, given that 12845*m + 12792*m + 492 - 25502*m + 3*m**2 = 0.
-41, -4
Let a be (-1)/(8/(-18)) + -2. Suppose 192 = 216*v - 456. Factor 1/2*m + 0 - 1/4*m**v - a*m**2.
-m*(m - 1)*(m + 2)/4
Suppose 9*r - 125 = -44. Let -3*c**4 + 3*c**5 - 5837*c + 5837*c - 15*c**3 - r*c**2 = 0. Calculate c.
-1, 0, 3
Let p = 45262 + -83417868/1843. Let c = 3708/20273 + p. Let 2/11*w**2 + 0 - 4/11*w + c*w**3 = 0. Calculate w.
-2, 0, 1
Let h(g) = -4*g**2 - 10*g + 98. Let w(p) = -7*p**2 - 19*p + 196. Let r(d) = -15*h(d) + 9*w(d). Factor r(y).
-3*(y - 7)*(y + 14)
Let w(q) be the third derivative of -q**5/180 + 5*q**4/12 + 68*q**3/9 - 292*q**2 + 2*q - 2. Factor w(y).
-(y - 34)*(y + 4)/3
Find t, given that -44 - 535*t**2 - 1920*t + 36 - 37 + 177*t**2 - 277*t**2 = 0.
-3, -3/127
Let l = 1344971 - 1344971. Factor 2/5*i**3 + 2/5*i**2 - 4/5*i + l.
2*i*(i - 1)*(i + 2)/5
Let t = 7664/3 + -2553. Let m(a) be the first derivative of -5/2*a**2 - 10*a + t*a**3 + 6. Factor m(s).
5*(s - 2)*(s + 1)
Suppose 1530/11*c - 2322/11 - 2/11*c**3 - 246/11*c**2 = 0. What is c?
-129, 3
Suppose -5*a - 4333 = -4*w, 5*w = 3*w + 5*a + 2159. Let v = w + -1082. Suppose 72/7*t + 48*t**4 - 52/7*t**2 + 16/7 - 274/7*t**3 - 14*t**v = 0. What is t?
-2/7, 1, 2
Let y be (-120)/21 - -6 - (-932)/(-28). Let d be (-2 - (-179)/105) + y/(-77). Factor -d*t**2 - 24/5 + 8/5*t.
-2*(t - 6)**2/15
Let y(n) = -82 + 39 + 44 - 4*n. Let i be y(-1). Factor -8*t**2 - 8 - 10*t**3 - 4*t**i - 32*t**4 + 20*t - 6*t**3 + 48*t**4.
-4*(t - 2)*(t - 1)**3*(t + 1)
Let c(m) = -17*m**3 - 9*m**2 - 10*m - 6. Let t(l) = -70*l**3 - 35*l**2 - 40*l - 25. Let o(p) = 25*c(p) - 6*t(p). Solve o(h) = 0 for h.
-2, -1, 0
Let q be (-42)/(-27) + 4648/1494. Let 22/3*l - 28/3*l**2 - q*l**5 + 32/3*l**4 - 4/3 - 8/3*l**3 = 0. What is l?
-1, 2/7, 1
Factor 0*o + 200/17*o**2 - 38/17*o**4 + 0 - 2/17*o**5 - 160/17*o**3.
-2*o**2*(o - 1)*(o + 10)**2/17
Let g be (-11)/66 + (91/6)/7. Let r be ((-11)/(-2) + 7)/g. Factor 5/2 - r*i**2 + 15/4*i.
-5*(i - 1)*(5*i + 2)/4
Suppose 73 + 1/4*j**2 - 77/4*j = 0. Calculate j.
4, 73
Let a(c) = -15*c**3 - 3*c**2 + 15*c + 12. Let o(d) = 4*d**3 + 15*d + 21 - 4*d**2 - 7*d**3 - 11 - 12*d**3. Let g(u) = -2*a(u) + 3*o(u). Factor g(x).
-3*(x - 1)*(x + 1)*(5*x + 2)
Let b(z) be the second derivative of -z**6/24 + 3*z**5/16 + 65*z**4/48 - 25*z**3/8 - 17*z - 14. Factor b(n).
-5*n*(n - 5)*(n - 1)*(n + 3)/4
Let q(r) be the second derivative of r**6/6 - 19*r**5/4 + 15*r**4/2 + 720*r**3 - 2160*r**2 - 2131*r. Factor q(c).
5*(c - 12)**2*(c - 1)*(c + 6)
Let c(g) be the third derivative of g**5/225 + 19*g**4/180 - 11*g**3/15 - 569*g**2. Let c(v) = 0. Calculate v.
-11, 3/2
Let v(c) = 4*c**3 + 69*c**2 - 58*c - 72. Let a be v(-18). Let f(n) be the first derivative of 1/2*n**4 + a*n - 9 + 14/3*n**3 + 0*n**2. Factor f(o).
2*o**2*(o + 7)
Let p(s) be the first derivative of 4/105*s**5 + 0*s**2 - 3/14*s**4 - 47/3*s**3 + 1/630*s**6 + 0*s + 22. Let c(m) be the third derivative of p(m). Factor c(b).
4*(b - 1)*(b + 9)/7
Suppose 2*u - s - 954 = -927, -2*u + 5*s + 103 = 0. Factor -2/3*d**2 + 0 + 2/3*d**5 + 0*d + 2/3*d**u - 2/3*d**3.
2*d**2*(d - 1)*(d + 1)**2/3
Factor 1/3*r**2 - 74*r - 448/3.
(r - 224)*(r + 2)/3
Let j(q) be the third derivative of 0*q + 40/3*q**3 + 0 - 31/12*q**5 - 5/168*q**8 - 17*q**2 + 5*q**4 + 5/14*q**7 - 11/12*q**6. Suppose j(k) = 0. What is k?
-1, -1/2, 1, 4
Suppose 2*x - 6 = -2*o, 2*o