 0. Calculate w.
-2, -1, 0, 2
Let w(c) be the third derivative of c**6/120 - 11*c**5/60 + 3*c**4/4 + 6*c**2 - 107. Solve w(v) = 0 for v.
0, 2, 9
Let u = -161988 - -161991. Let -4/7*j**2 - 4/7*j**u + 0 + 0*j = 0. What is j?
-1, 0
Let h(b) be the second derivative of -7*b**6/90 + 247*b**5/60 + 1589*b**4/36 + 703*b**3/6 - 123*b**2 - 595*b. Let h(u) = 0. What is u?
-3, 2/7, 41
Let d(c) be the third derivative of -c**6/24 - 263*c**5/2 + 2*c**2 - 2*c + 2773. Factor d(t).
-5*t**2*(t + 1578)
Let m = -6091 + 6091. Let h(z) be the first derivative of m*z**3 + 9/8*z**2 + 3/2*z + 14 - 3/16*z**4. Factor h(g).
-3*(g - 2)*(g + 1)**2/4
Let x be (-1742)/28 + 62 + 10/14. Suppose x*k**4 + 7*k + 3 - 13/4*k**3 + 1/4*k**2 = 0. What is k?
-1, -1/2, 2, 6
Let n be ((-232)/12 + 6)*184/(-920). Factor 5*m**2 - n + 58/3*m.
(m + 4)*(15*m - 2)/3
Suppose 49*w + 10200 = -33704. Let t = w - -899. Suppose 0*p + p**t + 1/2*p**2 + 0 + 1/2*p**4 = 0. Calculate p.
-1, 0
Let h(i) be the first derivative of -2*i**3/15 - 78*i**2/5 - 432*i - 15282. Find o such that h(o) = 0.
-60, -18
Let r(q) be the second derivative of 0*q**4 + 17*q + 0*q**2 + 1 - 1/30*q**6 - 3/10*q**5 + 16/3*q**3. Factor r(m).
-m*(m - 2)*(m + 4)**2
Let i(z) be the third derivative of -z**5/330 - 767*z**4/66 + 1535*z**3/33 + z**2 - 2*z - 565. Solve i(k) = 0.
-1535, 1
Let l = -230 + 228. Let r be 208*l/(-110) + 216/(-1188). Solve -32/5*t**2 - 12/5*t**4 - 2/5*t**5 - 4/5 - r*t - 28/5*t**3 = 0 for t.
-2, -1
Let t = -1609/3 + 8051/15. Let y(w) be the second derivative of 2/5*w**6 - 2/21*w**7 + 0 + 28*w - 2*w**2 + 2*w**3 - 2/3*w**4 - t*w**5. Factor y(r).
-4*(r - 1)**4*(r + 1)
Let u be (3*(-14)/(-24))/((-63)/(-18)). Let z be (18 + -7)/(-22) + 5/2. Factor 0*j**z + j**3 - j + u - 1/2*j**4.
-(j - 1)**3*(j + 1)/2
Let s = 2485/15018 - -3/2503. Let o(x) be the first derivative of -10/9*x**3 + s*x**4 + 7/3*x**2 + 21 - 2*x. Suppose o(b) = 0. Calculate b.
1, 3
Let w be ((-9 + 7)*4 - (-4)/3) + 7. Factor -w*o**3 - 4/3 + 4/3*o + 1/3*o**2.
-(o - 2)*(o - 1)*(o + 2)/3
Factor 189/5*k + 18*k**3 + 273/5*k**2 + 6/5.
3*(k + 1)*(k + 2)*(30*k + 1)/5
Let o = -550 + 553. Suppose 2*d - 3*k = -12, -o*d + 5*k - 27 = -7. Find h, given that 6/5*h**2 + 4/5*h**3 + 0 - 2/5*h**4 + d*h = 0.
-1, 0, 3
Let k(f) be the second derivative of -f**7/21 + 13*f**6/45 + 19*f**5/30 - 5*f**4/2 - 4*f**3/9 + 20*f**2/3 + 1441*f. Suppose k(l) = 0. Calculate l.
-2, -2/3, 1, 5
Let f(u) be the first derivative of -2/5*u**2 + 20 - 13*u - 1/6*u**3 - 1/60*u**4. Let i(x) be the first derivative of f(x). Determine d so that i(d) = 0.
-4, -1
Factor -6/5*w**4 + 0*w - 27/5*w**3 + 0*w**2 + 0 + 1/5*w**5.
w**3*(w - 9)*(w + 3)/5
Suppose -5*k - 9*x + 29 = -7*x, 2*k - 3*x = 4. Factor -5*o**k + 0*o**4 + 30*o**3 - 37*o**2 + 55*o - 15 + 5*o**4 - 33*o**2.
-5*(o - 1)**4*(o + 3)
Suppose 5*r - 19 = 461. Solve 16*x**5 + 3*x - 68*x**4 - 77*x**2 + 5*x + 5*x - 5*x + r*x**3 + 25*x**2 = 0 for x.
0, 1/4, 1, 2
Let t = 7619/2 - 3772. Let c(a) be the first derivative of -5 - 14*a**3 + t*a**2 - 18*a. Determine n, given that c(n) = 0.
2/7, 3/2
Suppose 3*m - 10 = 5. Suppose 15*k + 10*k - 50 = 0. Let -52*a**5 - 48*a**m - 65*a**3 - 1946*a**2 + 1936*a**k - 140*a**4 = 0. What is a?
-1/2, -2/5, 0
Suppose -f + 1892 = 10*f. Factor -365*b + b**3 + 78*b**2 - 7*b**3 + f*b**2 - 150 - 9*b**3.
-5*(b - 15)*(b - 2)*(3*b + 1)
Let i = -64 + 92. Suppose 13 = 4*a + 1. Solve -23 - i*f**2 - 4 - 9 + 4*f**a + 62*f - 2*f = 0 for f.
1, 3
Let z(o) be the third derivative of 4 + 9*o**2 + 1/120*o**6 - 1/12*o**4 + 0*o**3 + 0*o - 1/60*o**5. Factor z(v).
v*(v - 2)*(v + 1)
Let o(i) be the first derivative of 12*i**2 - 14*i**3 - 24/7*i + 64. Factor o(l).
-6*(7*l - 2)**2/7
Let w = 65 + -76. Let j(u) = u**3 + 12*u**2 + 13*u + 24. Let h be j(w). Solve -2*t + h*t**2 + t**2 + 32 - 38 - t = 0 for t.
-1, 2
Let t(g) be the third derivative of 1/132*g**4 + 4/1155*g**7 - 5 + 0*g**3 + 1/1848*g**8 + 0*g + 2/165*g**5 - 3*g**2 + 1/110*g**6. Suppose t(q) = 0. Calculate q.
-1, 0
Suppose 14/3*y**3 + 52/3 - 230/3*y + 164/3*y**2 = 0. Calculate y.
-13, 2/7, 1
Determine h so that -312 - 294 - 40*h + 642 - 13*h**2 - 19*h**2 - 4*h**4 + 40*h**3 = 0.
-1, 1, 9
Let w(p) be the third derivative of p**7/945 - p**6/270 - 7*p**5/90 - p**4/6 - 497*p**2. Let w(q) = 0. Calculate q.
-3, -1, 0, 6
Let j(i) be the first derivative of 9*i**5/5 + 4*i**4 + 7*i**3 + 7*i**2 - 52. Let r(v) = v**4 + v**3 + v**2 + v. Let d(s) = 3*j(s) - 24*r(s). Factor d(z).
3*z*(z + 1)**2*(z + 6)
Let o(h) be the second derivative of 0 + 18*h**2 + 1/2*h**3 - 1/4*h**4 - 22*h. Let o(i) = 0. What is i?
-3, 4
Factor -191/8*v - 12 - 47/4*v**2 + 1/8*v**3.
(v - 96)*(v + 1)**2/8
Suppose 4*r - 22 - 22 = -2*o, -15 = -5*r. Suppose o = 4*n + 8. Factor 12/17 + 2/17*w**n - 14/17*w.
2*(w - 6)*(w - 1)/17
Let w(z) be the first derivative of z**7/6300 + 17*z**6/2700 + 8*z**3/3 - 101. Let v(n) be the third derivative of w(n). Find k, given that v(k) = 0.
-17, 0
Let j be 9/72 - 44836/(-96). Let l = j + -467. Solve -1/6*p**2 + 0 + l*p = 0.
0, 1
Let i(q) be the first derivative of -1/360*q**6 + 1/24*q**4 + 0*q + 10 + 0*q**5 + 7/3*q**3 + 0*q**2. Let u(h) be the third derivative of i(h). Factor u(t).
-(t - 1)*(t + 1)
Let w(o) = 9*o**3. Let r(h) = 42*h**3 + 317*h**2 - 625*h + 311. Let a(k) = r(k) - 5*w(k). Solve a(y) = 0.
1, 311/3
Suppose -5*d = -s - 21, -4*d + 0*d + 12 = 0. Let c be 4 - ((-92)/(-42) - (-2)/s). Solve 96/7*b - c*b**2 - 36/7 = 0.
2/5, 6
Factor 24*d + 32*d**2 + 12*d**3 + 0*d**4 + 0 - 1/2*d**5.
-d*(d - 6)*(d + 2)**3/2
Let l(g) = -3*g - 13 + 1 + 14. Let f be l(-5). Factor 2*c**2 - c**3 - c + f - 17 + 0*c**2.
-c*(c - 1)**2
Suppose 2*h**5 - 26930*h**2 + 26400*h + 14664*h**3 + 123*h**4 - 8712 - 393*h**4 - 5154*h**3 = 0. Calculate h.
1, 66
Let g = 2289 + -2287. Let d(y) be the first derivative of -12/7*y**g - 3/7*y**4 + 2/35*y**5 + 26/21*y**3 + 8/7*y - 18. Suppose d(k) = 0. Calculate k.
1, 2
Suppose 3/5*q**2 - 2928/5*q + 714432/5 = 0. What is q?
488
Let p(n) = 8*n**4 + 162*n**3 + 324*n**2 + 158*n. Let d(i) = -i**4 - i**2. Let s(g) = 6*d(g) + p(g). Let s(v) = 0. Calculate v.
-79, -1, 0
Let v(t) be the third derivative of t**6/60 - 8*t**5/15 + 41*t**4/12 - 26*t**3/3 + 237*t**2 - 5. Factor v(n).
2*(n - 13)*(n - 2)*(n - 1)
Let u(c) = 2*c**3 - 2*c. Let z(y) = 39*y**3 + 24*y**2 - 228*y - 1536. Let b(w) = 18*u(w) - z(w). Factor b(m).
-3*(m - 8)*(m + 8)**2
Find r, given that -30*r - 189*r - 24*r**2 - 3*r**2 - 442 + 418 = 0.
-8, -1/9
Suppose 0 = 1040*w - 1053*w + 65. Let m(k) be the second derivative of 0*k**3 + 1/168*k**7 - 9/2*k**4 - 3/20*k**6 + 11*k + 0 + 27/20*k**w + 0*k**2. Factor m(h).
h**2*(h - 6)**3/4
Let b be (-86)/(-344) + 107/4. Let c be ((-3)/b)/((-136)/(-36) + -4). Solve 1/3 - c*x**2 + 1/6*x + 1/6*x**4 - 1/6*x**3 = 0 for x.
-1, 1, 2
Let v be (-2)/(-40)*12 + 18/(-5). Let b be ((-136)/168 - v) + 12/(-14). Factor -2/3*x**2 - 2/3 - b*x.
-2*(x + 1)**2/3
Let z(m) be the first derivative of m**4 - 136*m**3/3 - 82*m**2 + 840*m - 468. Factor z(w).
4*(w - 35)*(w - 2)*(w + 3)
Let u(o) = -o**2 + 3351*o + 6923. Let y(c) = 5*c**2 - 14525*c - 30000. Let q(j) = -30*u(j) - 7*y(j). Factor q(t).
-5*(t - 231)*(t + 2)
Factor 0 + 2*h**2 + 0*h - 15/7*h**3 + 1/7*h**4.
h**2*(h - 14)*(h - 1)/7
Let v(f) = -6*f + 182. Let i be v(31). Let j be (-3)/9*-6*i/(-20). What is u in -22/5*u**4 - 12/5*u**2 - 28/5*u**3 + j*u - 6/5*u**5 + 2/5 = 0?
-1, 1/3
Let d(x) be the first derivative of 98*x**6/27 + 1624*x**5/15 + 3173*x**4/9 + 2752*x**3/9 + 88*x**2 + 2605. Solve d(y) = 0.
-22, -2, -3/7, 0
Suppose 11*y = 17*y - 72. Suppose 2*g - 3 = 7. Solve -y*h + 2 - 92*h**2 - 72*h**3 + 11 - g = 0.
-1, -1/2, 2/9
Factor 91/3 + 19/6*z - 1/6*z**2.
-(z - 26)*(z + 7)/6
Factor -9/10*g**2 - 4/5 + 13/10*g**3 - 3*g.
(g - 2)*(g + 1)*(13*g + 4)/10
Let g(h) be the third derivative of 13*h**6/60 - 121*h**5/30 + 41*h**4/6 + 72*h**3 - 7*h**2 - 36*h - 1. Factor g(v).
2*(v - 2)*(v + 1)*(13*v - 108)
Factor 5/4*j**4 + 840500*j + 315*j**3 + 4135260 + 27060*j**2.
5*(j + 6)*(j + 82)**3/4
Let l(a) = 13*a**2 + 62*a - 10. Let t be l(-5). Let k be (-215)/30 + t - -3. Solve k*q**5 + 35/6*q**4 + 40/3*q + 10/3 + 95/6*q**3 + 125/6*q**2 = 0.
-2, -1
Let u be 0 + 5 - 2 - (-8)/(-56)*5. Suppose 12/7*x**3 + u*x + 40/7*x**2 - 32/7 = 0. What is x?
-2, 2/3
Let b be ((-192)/10)/(14/(-315)). Let m be 450