e the first derivative of 1/18*o**3 - 1/4*o**2 + y*o - 10. Determine w, given that n(w) = 0.
1, 2
Determine s, given that -34/13*s**3 - 2/13*s**4 + 64/13*s - 132/13*s**2 + 704/13 = 0.
-11, -4, 2
Let b be 10/(-4)*(-2)/(-15)*-3. Let n be 261/108 + -2 - b/(-3). Determine x, given that 3/4*x - n*x**3 + 9/4*x**2 - 3/4*x**4 - 3/2 = 0.
-2, -1, 1
Suppose 58*x - 55*x - 12 = 0. Let r(z) = -6*z**4 + z**3 + 3*z + 5. Let f(d) = 5*d**4 + d**2 - 2*d - 4. Let s(b) = x*r(b) + 5*f(b). Factor s(j).
j*(j + 1)**2*(j + 2)
Suppose 215*l - 936 = -116*l + 19*l. Determine r so that 0 + 19/6*r + 1/6*r**5 - l*r**4 + 3*r**2 - 10/3*r**3 = 0.
-1, 0, 1, 19
Let w(c) be the first derivative of 3*c**5/40 + 273*c**4/8 - 731*c**3/8 + 549*c**2/8 + 12518. Solve w(v) = 0 for v.
-366, 0, 1
Let g(w) be the first derivative of w**3/2 - 255*w**2/4 - 396*w + 699. Let g(l) = 0. Calculate l.
-3, 88
Let y(n) be the first derivative of 0*n**2 + 37 + 0*n - 5/3*n**3. Find r such that y(r) = 0.
0
Let f = -648765 - -648768. Solve -12/7*d - 12/7*d**f + 0 - 2/7*d**4 - 22/7*d**2 = 0 for d.
-3, -2, -1, 0
Let v(m) be the third derivative of 5/12*m**4 + 0*m - 16*m**2 - 1 + 1/240*m**5 + 50/3*m**3. Factor v(o).
(o + 20)**2/4
Suppose -13*b + 11*b + 78 = 0. Factor 250*t - b*t**2 - 3125 - 37*t**2 + 71*t**2.
-5*(t - 25)**2
Suppose 564/5*f**3 + 0 - 1126/5*f + 561/5*f**2 + 1/5*f**4 = 0. What is f?
-563, -2, 0, 1
Let h(d) be the second derivative of -d**10/8640 + d**9/3360 - d**8/6720 + d**4/6 + 10*d**3/3 - 89*d. Let v(j) be the third derivative of h(j). Solve v(x) = 0.
0, 2/7, 1
Suppose -5*f - 29 = -39. Factor 42 + 20*b + 116*b**f - 57*b**2 - 57*b**2.
2*(b + 3)*(b + 7)
Let u(p) be the third derivative of -p**7/1260 - 7*p**6/540 + 43*p**3/6 - 40*p**2. Let g(z) be the first derivative of u(z). Determine n so that g(n) = 0.
-7, 0
Let -314*y + 0 - 46*y**3 - 2*y**4 + 1036136*y**2 - 136 - 1036358*y**2 = 0. Calculate y.
-17, -4, -1
Let b(t) be the first derivative of -t**5 - 15*t**4/4 + 160*t**3/3 - 150*t**2 + 160*t - 1219. Solve b(g) = 0 for g.
-8, 1, 2
Let v(n) be the second derivative of -n**5/30 - 7*n**4/12 - 10*n**3/3 + 61*n**2/2 + 54*n. Let s(k) be the first derivative of v(k). Find h such that s(h) = 0.
-5, -2
Let o = -4779 + 4782. Let z(t) be the first derivative of -1/9*t**o + 0*t**2 + 1/12*t**4 - 4 + 0*t. Factor z(a).
a**2*(a - 1)/3
Let y = 16715/2916 - -13/729. Let w(d) = -d**2 - 6*d + 10. Let s be w(-7). Solve y*h**s + 5/4*h**4 - 3/2 + 1/4*h + 25/4*h**2 = 0 for h.
-3, -1, 2/5
Let z(o) be the third derivative of -7*o**5/10 - 19*o**4/12 + 2*o**3/3 - 26*o**2 + 132*o. Factor z(q).
-2*(q + 1)*(21*q - 2)
Let i = -54426 - -54428. Let 0 + 3/5*j**5 + 0*j**i - 3/5*j**3 + 0*j + 0*j**4 = 0. Calculate j.
-1, 0, 1
Let q(h) be the third derivative of 1/180*h**5 - 7/9*h**3 + 28*h**2 - 5/72*h**4 + 0 + 0*h. Factor q(l).
(l - 7)*(l + 2)/3
Suppose 12*c - 4*c - 16 = 0. Factor 4*b**4 + 3*b**3 + b**5 - 7*b**3 - b**2 - 15*b**c.
b**2*(b - 2)*(b + 2)*(b + 4)
Let o(h) be the first derivative of -h**3/3 + 47*h**2/4 + 12*h + 900. Let o(j) = 0. What is j?
-1/2, 24
Let j(m) be the third derivative of -4/15*m**3 - 1/30*m**6 - 2/525*m**7 + 43*m**2 - 7/30*m**4 + 0 + 0*m - 3/25*m**5. Solve j(h) = 0 for h.
-2, -1
Let q be ((-4693)/364)/(-19) + (-3)/7. Suppose 22*t + 8 = 26*t. Suppose -1/4 + 1/2*o - q*o**t = 0. What is o?
1
Let y be (2 + -7 - -6)*(1 - -1). Let k(r) be the third derivative of 0*r + 14*r**y + 0 - 1/240*r**5 - 1/24*r**3 - 1/48*r**4. Suppose k(g) = 0. What is g?
-1
Factor 4/3*l**3 - 224 - 236/3*l + 8/3*l**2.
4*(l - 8)*(l + 3)*(l + 7)/3
Let o = 12014 - 48051/4. Let b(x) be the third derivative of -14*x**2 - 1/12*x**5 + o*x**4 + 0*x + 0*x**3 + 0. Factor b(q).
-5*q*(q - 6)
Let i(k) be the first derivative of -2/25*k**5 + 0*k + 0*k**3 + 0*k**2 - 36 - 1/10*k**4. Solve i(l) = 0.
-1, 0
Let q(a) = -4*a**2 + 7*a - 27. Let r be q(6). Let f be (9/(-6))/(r/344). Suppose 2/3*g**3 - 2/9*g**f - 2/3*g + 0 + 2/9*g**2 = 0. What is g?
-1, 0, 1, 3
Factor -2/15*h**2 + 22/3*h - 104/5.
-2*(h - 52)*(h - 3)/15
Let u(a) be the third derivative of -a**8/560 - 127*a**7/350 - 187*a**6/100 - 62*a**5/25 + 150*a**2 - 2*a. Determine n, given that u(n) = 0.
-124, -2, -1, 0
Let t(f) be the third derivative of -f**6/30 - 2*f**5/5 - 4*f**4/3 - f**2 - 393*f. Factor t(d).
-4*d*(d + 2)*(d + 4)
Let y = 13/522 - -4007/6786. Determine d so that 16/13*d + y - 10/13*d**3 - 14/13*d**2 = 0.
-2, -2/5, 1
Let d(y) be the third derivative of -y**8/224 + 123*y**7/35 - 49*y**6/8 - 123*y**5/10 + 491*y**4/16 + 4*y**2 + 28*y + 9. Find b, given that d(b) = 0.
-1, 0, 1, 491
Find x, given that -12 - 143/7*x - 5*x**2 - 1/7*x**4 + 23/7*x**3 = 0.
-1, 4, 21
Let s = -35998 - -287993/8. Let a(r) be the first derivative of -15/8*r**2 - 4 + 3/8*r**3 + s*r. Factor a(g).
3*(g - 3)*(3*g - 1)/8
Let y(c) = -3*c**4 - 34*c**3 - 88*c**2 - 24*c + 64. Let b(m) = -9*m**4 - 102*m**3 - 263*m**2 - 72*m + 192. Let g(p) = 4*b(p) - 11*y(p). Factor g(h).
-(h + 2)**2*(h + 8)*(3*h - 2)
Factor 3576/7*s + 399618/7 + 8/7*s**2.
2*(2*s + 447)**2/7
Let q(j) be the second derivative of -j**5/110 - j**4/3 + 119*j**3/33 + 3468*j**2/11 - 203*j - 7. Factor q(k).
-2*(k - 12)*(k + 17)**2/11
Factor 1059/7 + 3/7*v**3 + 303*v + 1065/7*v**2.
3*(v + 1)**2*(v + 353)/7
Let r = -438 - -436. Let i be (-1 - r)/((-5)/(10*-1)). Factor -1/5*m + 0 + 1/5*m**i.
m*(m - 1)/5
Let c(g) be the third derivative of g**7/1155 - 26*g**6/165 + 51*g**5/55 - 76*g**4/33 + 101*g**3/33 + g**2 - 346. Find f, given that c(f) = 0.
1, 101
Factor -12*c**3 - 123*c**2 + 13122 + 2673*c + 231*c**2 + 9*c**3.
-3*(c - 54)*(c + 9)**2
Let x**3 + 41756801*x**2 - x**3 + 3*x**3 - 41754680*x**2 = 0. What is x?
-707, 0
Let n(y) = y**2 - 8*y + 13. Let m be n(7). Let r be m/14 + 156/28 + -4. Factor -135 + 30*u**2 - 66*u**r - 297 - 2*u**3 - 216*u.
-2*(u + 6)**3
Factor 36*j**4 - 19928/3*j**2 - 32032*j - 230*j**3 - 2/3*j**5 - 46464.
-2*(j - 33)**2*(j + 4)**3/3
Let u be (-3 + 3)*(-33)/2772*-21. Let u + 13/2*q**2 - q = 0. What is q?
0, 2/13
Let i = 19069 - 19067. Let j(z) be the first derivative of -45 - 1/10*z**5 + 3/8*z**i - 3/16*z**4 + 1/12*z**3 + 1/4*z. Suppose j(a) = 0. Calculate a.
-1, -1/2, 1
Suppose 4*a - 124 - 84 = 0. Let x = 56 - a. Factor -10 - 8 + 14 - c**2 - x*c.
-(c + 2)**2
Suppose 376*z - 2*b = 375*z + 2, z + 2*b + 2 = 0. Find l such that -1/5*l**2 - 8*l + z = 0.
-40, 0
Suppose 0 = -4*p + 3*h - h + 42, 30 = 5*p + 2*h. Suppose -p*v = -5*v - 9. Find g such that v*g - 8 + 10*g + g + 6*g - 16*g**2 + 4*g**3 = 0.
1, 2
Let f(d) be the second derivative of -2*d**6 + d**5/4 + 85*d**4/6 - 145*d**3/6 + 15*d**2 + 111*d + 3. Find j, given that f(j) = 0.
-2, 1/3, 3/4, 1
Let q be (-4 + 426/12)*(-12)/(-7). Let u = q - 54. Factor u*o**3 - 2*o**4 - 4*o**3 - 6*o**4 + 4*o**4.
-4*o**3*(o + 1)
Suppose -3*g**5 - 615/4*g**2 + 213/4*g**4 - 117/4*g**3 + 33/4*g + 153/2 = 0. Calculate g.
-1, 3/4, 2, 17
Suppose 23*q = -42 - 50. Let d = q + 6. Find a such that -5/3*a**d - 1/3*a**3 + 3 - a = 0.
-3, 1
Let m(r) = 15*r**2 - 39*r - 188. Let d(q) = 5*q**2 - 14*q - 63. Let h be 5/1 + 3/(15/(-40)). Let u(k) = h*m(k) + 8*d(k). Determine g, given that u(g) = 0.
-3, 4
Factor 14*h**2 + 482*h - 450 + 9*h**2 - 29*h**2 + 8*h**2 - 32*h**2 - 2*h**3.
-2*(h - 9)*(h - 1)*(h + 25)
Let -3/10*d**4 + 17/2*d**3 - 779/10*d**2 + 891/5 + 423/2*d = 0. What is d?
-2/3, 9, 11
Let b(r) be the second derivative of -r**7/105 - 8*r**6/25 - 119*r**5/50 - 34*r**4/5 - 36*r**3/5 - 1658*r. Solve b(k) = 0 for k.
-18, -3, -2, -1, 0
Let j(v) = 3*v**2 + 10*v - 38. Let d be j(5). Find h, given that 82*h**2 - d*h**2 + 15*h + 10*h - 30 = 0.
2, 3
Let c(b) be the first derivative of -b**4/14 + 40*b**3/21 + 9*b**2/7 - 360*b/7 - 7891. Suppose c(k) = 0. Calculate k.
-3, 3, 20
Solve -2*q**3 + 686*q**2 - 770*q**2 - 45*q + 45*q = 0 for q.
-42, 0
Let p(r) be the second derivative of 2*r**3 + 0 + 0*r**2 - 74*r - 1/12*r**4. Solve p(x) = 0.
0, 12
Let f(d) = -4*d + 2*d - 5 + 4*d. Let p be f(5). Factor 9 + p - 4 + 13*t - 5*t**2 - 18*t.
-5*(t - 1)*(t + 2)
Determine q, given that -2772109 + 2772737 + 287*q + 23*q - 2*q**2 = 0.
-2, 157
Let z(g) be the third derivative of g**6/210 - 7*g**5/60 + 15*g**4/56 + 1470*g**2. Solve z(f) = 0 for f.
0, 1, 45/4
Let g(r) = 11*r**2 + 140*r - 241. Let c(u) = 4*u**2 + 47*u - 80. Let o(d) = -8*c(d) + 3*g(d). Let z(l) = -