 r = -144 + 150. Let k(f) be the first derivative of r*f - 9/2*f**2 + f**3 + 7. Determine n so that k(n) = 0.
1, 2
Let w(f) be the third derivative of f**7/1785 + 7*f**6/12 - 1193*f**5/510 + 199*f**4/68 + 18*f**2 - f - 9. What is y in w(y) = 0?
-597, 0, 1
Let q be 40/14 + ((-52244)/518 - -102). Let 2/3*o**3 + 0 + q*o + 14/3*o**2 = 0. What is o?
-6, -1, 0
Let h(d) be the first derivative of 0*d**2 - 22 + 4*d + 1/16*d**4 + d**3. Let w(o) be the first derivative of h(o). Factor w(b).
3*b*(b + 8)/4
Let s(y) be the second derivative of -3*y**5/20 - 33*y**4 - 1890*y**3 + 58800*y**2 + 2130*y. Find r such that s(r) = 0.
-70, 8
Let b(d) be the third derivative of d**8/336 - 8*d**7/105 + 13*d**6/30 - 4*d**5/5 + 4438*d**2. Factor b(c).
c**2*(c - 12)*(c - 2)**2
Let h(u) be the second derivative of -1/30*u**4 - 4356/5*u**2 - 44/5*u**3 - 49 + u. Determine w, given that h(w) = 0.
-66
Let -3 + 2 + 2457*k - 2251*k - 5 + 212*k**2 = 0. Calculate k.
-1, 3/106
Let x be (4/(-6) + (-205)/6)*102*462/(-129591). Suppose 0 + 2/3*n**4 + 0*n**2 - x*n**3 + 0*n = 0. Calculate n.
0, 19
Let 25/6 - 365/3*z + 5329/6*z**2 = 0. Calculate z.
5/73
Let g(y) be the third derivative of y**7/2520 + y**6/180 - y**5/24 + 119*y**4/12 - 231*y**2. Let p(x) be the second derivative of g(x). Factor p(n).
(n - 1)*(n + 5)
Let k(p) be the second derivative of 2*p**2 + 0 - 67*p + 1/24*p**4 - 3/4*p**3. Factor k(r).
(r - 8)*(r - 1)/2
Let u(f) be the second derivative of -f**4/12 + 11*f**3/2 - 16*f**2 + 279*f + 2. Factor u(d).
-(d - 32)*(d - 1)
Let n = -61330 + 61336. Factor -3/2*x**2 - n + 15/2*x.
-3*(x - 4)*(x - 1)/2
Let m be 126/75*(402/(-12) - -36). What is t in m*t**2 + 0 - 12/5*t = 0?
0, 4/7
Let j(g) be the first derivative of -2/39*g**3 + 36/13*g - 182 + 3/13*g**2. Factor j(m).
-2*(m - 6)*(m + 3)/13
Solve -5992/15*p - 520/3*p**2 - 362/15*p**3 - 1504/5 + 2/15*p**4 = 0 for p.
-3, -2, 188
Let t(y) be the second derivative of 263/42*y**4 - 22*y**3 + 1/210*y**6 + 18 - 11/35*y**5 + 63/2*y**2 + 2*y. Factor t(q).
(q - 21)**2*(q - 1)**2/7
Let g be 84/27 + 14/(-126). Let n(t) be the second derivative of 0 - 1/20*t**4 + 0*t**2 + 3/100*t**5 - 11*t - 1/5*t**g. What is l in n(l) = 0?
-1, 0, 2
Let k(h) be the third derivative of -h**8/560 + h**7/280 + 55*h**3/6 - 5*h**2 + 4. Let v(f) be the first derivative of k(f). Factor v(j).
-3*j**3*(j - 1)
Factor -168435/4*n**3 - 68985*n**4 - 18 - 143883/4*n**5 + 795*n - 13675/2*n**2.
-(3*n + 2)**3*(73*n - 3)**2/4
Suppose 46*w = 45*w + 11. Let i = -71 + 73. Let -380 + i*o**2 - w*o**3 + 380 + 14*o**4 = 0. Calculate o.
0, 2/7, 1/2
Let b(n) be the first derivative of 3*n**7/140 + n**6/20 - n**5/20 - n**4/4 - n**3/4 + 72*n**2 - 98. Let m(k) be the second derivative of b(k). Solve m(a) = 0.
-1, -1/3, 1
Let d be 44/121 - 87/(-33). Suppose -5*k + 6 + 9 = 0. Let 8*x**2 + x**d - 4*x - k*x**3 - 2*x**3 + 0*x = 0. Calculate x.
0, 1
What is v in -2617521*v - 80*v**2 + 2618161*v - 38*v**2 - 2*v**3 = 0?
-64, 0, 5
Let r(w) be the second derivative of 1/4*w**5 - 46*w + 5/12*w**4 + 15/2*w**2 - 25/6*w**3 + 0. Factor r(k).
5*(k - 1)**2*(k + 3)
Let j(f) be the second derivative of f**6/10 - 327*f**5/20 + 27*f**4 - 677*f + 4. What is a in j(a) = 0?
0, 1, 108
Solve -152644 - 484*i**2 + 218261 - 119551 + 1780530 + 488*i**2 - 5256*i = 0 for i.
657
Determine s so that 1187*s + 1058*s**3 + 218*s**4 + 2023 + 1963 - 326*s**2 + 2*s**5 + 2212*s**2 - 3570 + 273*s = 0.
-104, -2, -1
Let i(q) = 3*q + 77. Let h be i(-14). Solve -74 - h + 107*s**3 + 160*s + 138*s**3 + 1 - 1715*s**4 + 1470*s**2 - 52 = 0 for s.
-4/7, 2/7, 1
Suppose -61*b + 60*b = -2. Solve 3*j**b - 1090 - 11*j**2 + 1058 + 68*j = 0.
1/2, 8
Suppose -2348*p - 140 = -2418*p. Determine q, given that -1/11*q**5 + 0 - 8/11*q + 6/11*q**3 - 4/11*q**p + 1/11*q**4 = 0.
-2, -1, 0, 2
Let s = -73 + 42. Let k = s - -43. Factor 2*i**5 + i**5 - 12*i**4 + 12*i**2 + 2*i**3 - k*i + 0*i**5 + 7*i**3.
3*i*(i - 2)**2*(i - 1)*(i + 1)
Let z(t) be the first derivative of -t**5/570 + 7*t**4/114 - 49*t**3/57 + 64*t**2 + 87. Let i(m) be the second derivative of z(m). Factor i(o).
-2*(o - 7)**2/19
Let l(m) be the third derivative of 4/15*m**3 - 17/6*m**4 + 783/50*m**5 - 19343/600*m**6 - 24389/1050*m**7 + m**2 + 0*m + 1. Let l(u) = 0. What is u?
-1, 2/29
Let r = -117375/7 + 16768. Suppose -4*t + 0*n = -n - 6, 4*t + 2*n - 12 = 0. Determine w so that -r*w - 1/7*w**3 + 2/7*w**t + 0 = 0.
0, 1
Let w(d) be the first derivative of -1/2*d**4 + 0*d - 75 + d**2 + 2/5*d**5 - 2/3*d**3. Factor w(u).
2*u*(u - 1)**2*(u + 1)
Factor -2716/17*r**2 + 22/17*r**3 + 46128/17 + 83080/17*r.
2*(r - 62)**2*(11*r + 6)/17
Let h(u) be the first derivative of 4*u**3/3 - 9*u**2/2 - 9*u + 1203. Determine a so that h(a) = 0.
-3/4, 3
Let l = 2329/7825 + 7/313. Let g(u) be the first derivative of l*u**5 + 1/5*u**2 + 11/10*u**4 + 6/5*u**3 + 14 - 2/5*u. Factor g(j).
2*(j + 1)**3*(4*j - 1)/5
Let a(s) be the first derivative of -s**5/10 + s**4/2 + 6*s**3 + 226*s - 57. Let y(j) be the first derivative of a(j). Factor y(t).
-2*t*(t - 6)*(t + 3)
Suppose 55 = 5*l - 4*f, -2*l - 5*f = -l + 18. Factor 54*v - 15*v - 12*v**4 + 6*v**3 + 5*v**2 + l*v**2 - 48*v + 3*v**5.
3*v*(v - 3)*(v - 1)**2*(v + 1)
Let j(w) be the first derivative of 18*w**3 + w**2 + 4306. Factor j(l).
2*l*(27*l + 1)
Let w(o) = -o**4 - o**3 - o + 2. Let u(g) = -326*g**4 - 1686*g**3 + 1380*g**2 - 361*g + 42. Let j(f) = -u(f) + 6*w(f). Factor j(d).
5*(d + 6)*(4*d - 1)**3
Suppose 5*d + 3 = 4*o, -4 - 3 = -o - 5*d. Suppose -7 + 1 = -v. Factor 2*m**5 - o*m - m + m**5 + 61*m**2 - 55*m**2 - v*m**4.
3*m*(m - 1)**3*(m + 1)
Suppose 684*b - 678*b = -18. Let a be 21/(-63)*3/(b + 0). Find w such that a*w**4 - 4/3*w**3 + 0 + w**2 + 0*w = 0.
0, 1, 3
Find h, given that 572706*h**3 - 249572*h - 5871*h**4 + 58259*h**2 + 277672*h**2 + 15*h**5 + 19076*h - 5829*h**2 + 17994*h**2 = 0.
-1, 0, 2/5, 196
Let k(z) be the first derivative of -28*z + 11 - 1/7*z**2 + 1/42*z**4 + 1/21*z**3 - 1/70*z**5. Let m(p) be the first derivative of k(p). Factor m(b).
-2*(b - 1)**2*(b + 1)/7
Factor 547560*b + 533871 + 1/3*b**4 + 352/3*b**3 + 13806*b**2.
(b + 1)*(b + 117)**3/3
Let c(l) be the third derivative of -l**5/300 + l**4/120 + 12*l**3/5 - 30*l**2 - 43. Factor c(k).
-(k - 9)*(k + 8)/5
Let t be (32800/(-704))/(-25) - 6/(-44). Factor 768/7*n + 288/7 - 192/7*n**3 + 18/7*n**4 + 368/7*n**t.
2*(n - 6)**2*(3*n + 2)**2/7
What is g in 8/5*g - 42/5 + 2/5*g**2 = 0?
-7, 3
Let i = 849 - 841. Suppose -185 + 181 = -5*v - 3*t, t - i = -5*v. Solve 2/5*o - 8/15 + 2/15*o**v = 0 for o.
-4, 1
Suppose 0 = -674*l - 2120*l - 208*l + 9006. Solve -4/7*k**2 + 0 - 2/7*k**l - 2/7*k = 0.
-1, 0
Let b(j) = -4*j**2 - 27*j - 9. Let s be b(-6). Suppose 9*c + 109*c**2 - 112*c**2 - s + 3*c = 0. What is c?
1, 3
Let n(r) be the first derivative of 2*r**5/25 + r**4/5 + 2*r**3/15 - 849. Determine h, given that n(h) = 0.
-1, 0
Let q(s) be the third derivative of -s**6/120 + s**5/15 + s**3/2 + 25*s**2. Let c be q(4). Let r - 955*r**2 + r**c + 949*r**2 - 4*r**3 - 4*r = 0. What is r?
-1, 0
Factor -3634/17*v + 1560/17 - 14/17*v**2.
-2*(v + 260)*(7*v - 3)/17
Let z(r) be the second derivative of r**7/336 + 25*r**6/24 + 15873*r**5/160 + 3875*r**4/12 + 961*r**3/3 - 356*r. Factor z(o).
o*(o + 1)**2*(o + 124)**2/8
Let c = 350 + -338. Let v be 1 + 23/c - (-9)/(-36). Factor -v*r**3 + 0*r + 4/3*r**4 + 0 + 4/3*r**2.
4*r**2*(r - 1)**2/3
Let r(y) be the second derivative of 1/5*y**5 + 12*y**4 - 3 + 3456*y**2 + 288*y**3 + y. Factor r(u).
4*(u + 12)**3
Let z be ((-18768)/(-10948))/((-4)/((-84)/27)). Factor z*c**3 + 28/3*c**2 - 28/3 - 4/3*c.
4*(c - 1)*(c + 1)*(c + 7)/3
Let v(n) be the second derivative of -16384*n**5/5 + 256*n**4/3 - 2*n**3/3 + 913*n - 2. Factor v(q).
-4*q*(128*q - 1)**2
Let r(z) be the first derivative of -z**6/180 - 7*z**5/30 - 13*z**4/12 - 2*z**3/3 - 2*z - 23. Let m(u) be the third derivative of r(u). Factor m(w).
-2*(w + 1)*(w + 13)
Factor -4/15*j**4 + 0*j + 0 + 34/5*j**3 - 188/15*j**2.
-2*j**2*(j - 2)*(2*j - 47)/15
Let w(g) be the second derivative of -2*g - 194/3*g**4 + 384*g**3 + 18/5*g**5 - 83 - 1024*g**2 - 1/15*g**6. What is d in w(d) = 0?
2, 16
Suppose 3*y - 4 - 5 = 0. Let g be (2 + 0/1)*y/2. What is j in 140*j + 34*j**2 + 46*j**2 + 4*j**g + 100 - 36*j**2 = 0?
-5, -1
Find b such that 18496*b**5 - 4*b**2 + 627*b**3 - 1