/7*q**4 - 306/7*q = 0. What is q?
-21/5, -3, 2
Let i be ((-162)/(-135))/(4/10). Suppose 1541*a**3 - 772*a**i - 27*a**2 - 772*a**3 = 0. Calculate a.
-9, 0
Let h(c) = -59*c + 27. Let o be h(-12). Let r be (-9 + 7335/o)/((-4)/(-14)). Let -1/7*j + 8/7*j**2 + 0 - 22/7*j**3 + r*j**4 - 9/7*j**5 = 0. Calculate j.
0, 1/3, 1
Suppose 30*l + 3*l = 10*l - 11*l. Let d(h) be the third derivative of -3*h**2 + 0*h**5 + l - 1/24*h**6 + 5/3*h**3 + 0*h + 5/8*h**4. Factor d(b).
-5*(b - 2)*(b + 1)**2
Let b(v) be the second derivative of 17/15*v**2 + 1 - 1/90*v**4 - 6*v + 16/45*v**3. Factor b(w).
-2*(w - 17)*(w + 1)/15
Let s(u) = u**3 + 3*u**2 - 3*u. Let v(b) = -8*b**3 + 201*b**2 - 3648*b - 8214. Let l(t) = 5*s(t) + v(t). Solve l(q) = 0.
-2, 37
What is u in 42 + 72*u - u**3 + 9*u**2 - 11*u + 5*u**2 - 4*u**2 + 8*u**2 = 0?
-2, -1, 21
Let g(q) be the third derivative of -1/3*q**3 + 0 - 175*q**2 - q + 1/60*q**5 - 1/8*q**4 + 1/40*q**6 + 1/210*q**7. Suppose g(i) = 0. Calculate i.
-2, -1, 1
Let d = 30 - 32. Let p(s) = s**3 + 1. Let m(o) = -4*o - 39*o**2 - 61*o - 47*o**3 - 61*o**2 - 12. Let v(h) = d*p(h) - m(h). Let v(q) = 0. What is q?
-1, -2/9
Let b(q) be the first derivative of 108 - 314432/9*q**2 + 9248/9*q**3 - 136/9*q**4 + 4/45*q**5 + 5345344/9*q. Solve b(v) = 0.
34
Factor 4*u**2 - 2256325*u + 2256226*u - 1394 - 5*u**2.
-(u + 17)*(u + 82)
Factor 125*f**2 - 368*f + 45*f**3 - 3152*f - 95*f**2 - 12800.
5*(f - 10)*(3*f + 16)**2
Suppose r - 18 = 2*j, 5*r + 5*j - 33 = -63. Factor -2/11*c - 4/11 + 2/11*c**r.
2*(c - 2)*(c + 1)/11
Determine c so that 232/5 - 1/5*c**2 + 231/5*c = 0.
-1, 232
Factor -16/5*v**2 + 2/5*v**3 - 96 - 226/5*v.
2*(v - 16)*(v + 3)*(v + 5)/5
Let n = 992/27 + -168613/4590. Let u(v) be the second derivative of -7/51*v**3 - 35*v + 0*v**2 + 0 + n*v**5 - 1/17*v**4. Determine o, given that u(o) = 0.
-1, 0, 7
Let r(z) be the first derivative of 4*z**5/5 - 66*z**4 + 5956*z**3/3 - 26400*z**2 + 160000*z + 2294. Factor r(m).
4*(m - 25)**2*(m - 8)**2
Suppose -73*m = -76*m + 6. Factor 192*n**2 + 111*n**2 - 5*n**3 - 60*n**2 - 5120*n + 77*n**m.
-5*n*(n - 32)**2
Let v = -3400/171 - -420/19. Let p(x) be the first derivative of 24 - v*x**3 + 1/3*x**2 - 25/9*x**6 + 4*x**4 + 0*x + 4/3*x**5. Let p(f) = 0. What is f?
-1, 0, 1/5, 1
Let r = 178 - 176. Find q, given that -73*q**r + 12*q + 39*q**2 + 37*q**2 = 0.
-4, 0
Let x be (112/30 - 2084/1563)/((-126)/(-45)). Factor -3/7*n**2 - 3/7 + x*n.
-3*(n - 1)**2/7
Let h be (-45)/(94050/9185) - (-18)/4. What is z in -h*z**2 + 42/19*z - 40/19 = 0?
1, 20
Find n, given that 72 + 27*n**4 + 1828/3*n - 771*n**3 + 3334/3*n**2 = 0.
-2/9, 2, 27
Let i be 280/45 + (-4)/18. Let t be 13/(1560/448)*i/4. Factor -t*b - 4*b**3 - 8/5 - 4/5*b**4 - 36/5*b**2.
-4*(b + 1)**3*(b + 2)/5
Let h(g) be the first derivative of -g**8/6720 + g**7/1680 - g**6/1440 - 16*g**3 + 136. Let f(r) be the third derivative of h(r). Suppose f(d) = 0. What is d?
0, 1
Let t(z) be the second derivative of -1/2*z**5 + 100/3*z**3 + 1/6*z**6 + 1000*z**2 + 0 - 113*z - 65/4*z**4. Factor t(p).
5*(p - 5)**2*(p + 4)**2
Let l = -9227/6 - -64607/42. Let q(f) be the first derivative of -l*f**2 + 26 - 2/35*f**5 + 10/21*f**3 + 3/14*f**4 - 8/7*f. Suppose q(k) = 0. What is k?
-1, 1, 4
Let u(c) be the third derivative of c**8/80640 + c**7/2880 + 11*c**5/3 + 46*c**2. Let b(m) be the third derivative of u(m). Factor b(l).
l*(l + 7)/4
Suppose 0 = h + 4 - 9, 2*h = -s + 15. Let t be s/(5/(-3)) + (-3333)/(-759). Solve t*o - 2/23*o**2 - 128/23 = 0.
8
Find j, given that 341*j - 76*j + j**2 - 605 - 6*j**2 + 4000 + 185*j = 0.
-7, 97
Solve 661*a**2 - 1309*a**2 + 72*a + 768*a**2 - 2*a**5 + 50*a**3 = 0.
-3, -2, -1, 0, 6
Let l(w) = 13*w**3 - 75*w**2 + 96*w + 6. Let i(p) = 52*p**3 - 300*p**2 + 385*p + 31. Let c(r) = -6*i(r) + 22*l(r). Factor c(m).
-2*(m - 3)**2*(13*m + 3)
Suppose 6*y + 12 = 9*y. Suppose y*z - 46 = -g - 0*g, z = 4*g + 20. What is f in -3*f**2 - 14*f + 7*f + z*f**3 + 9*f**4 + f = 0?
-1, 0, 2/3
Let p(c) be the second derivative of -c**7/84 - c**6/2 - 39*c**5/10 + 527*c**4/12 - 289*c**3/4 - 92*c - 5. Suppose p(v) = 0. Calculate v.
-17, 0, 1, 3
Let b(k) be the third derivative of -k**6/720 + k**5/120 - k**4/72 - 3097*k**2. Factor b(v).
-v*(v - 2)*(v - 1)/6
Let g(h) = 3*h**3 - 5*h**2 + 21*h - 24*h - 3 - 48*h**3. Let q be g(-3). Factor 402*p**2 + 24 - 906*p**5 - 284*p + 80*p - q*p**4 + 483*p**3 + 43*p**5 - 166*p**5.
-3*(p + 1)**2*(7*p - 2)**3
Let c = -99424 - -99426. Let o(u) = 3*u. Let d be o(1). Factor -d + 3/2*z + 3/2*z**c.
3*(z - 1)*(z + 2)/2
Find r such that -6/7*r**2 - 1/7*r**3 + 0 + 55/7*r = 0.
-11, 0, 5
Let o = -544189 - -3809367/7. What is u in -48/7*u + 0 + o*u**2 + 4/7*u**3 = 0?
-12, 0, 1
Suppose -2*c - 19 = -17. Let q be 2 - 0 - (c - -1). Factor 19*w**2 - 2*w**3 - 4*w - w**q + 2*w**4 - 6*w**3 - 8*w**2.
2*w*(w - 2)*(w - 1)**2
Let s(a) be the first derivative of a**6/140 - 13*a**5/105 - 3*a**4/28 - 19*a**2/2 - 3*a + 69. Let l(c) be the second derivative of s(c). Factor l(d).
2*d*(d - 9)*(3*d + 1)/7
Let x = 438752/5 + -87736. Let -324/5 - 4/5*z**2 - x*z = 0. What is z?
-9
Let a(s) = -26*s - 128. Let x be a(-5). Let l be x/8*(14 + -6). Factor 15/4*n + 17/4*n**l - 1/2.
(n + 1)*(17*n - 2)/4
Let k be -6 + (-5)/(-5) - (0 + -5). Let w(r) be the second derivative of -1/50*r**6 - 1/30*r**3 - 1/60*r**4 + 9*r + 0 + 1/20*r**5 + k*r**2. Factor w(v).
-v*(v - 1)**2*(3*v + 1)/5
Let s = -21421/6422 - -1163/338. Solve -336/19*i - 54/19*i**2 + 392/19 - s*i**3 = 0 for i.
-14, 1
Factor -3/5*b**3 + 0 + 249/5*b**2 + 252/5*b.
-3*b*(b - 84)*(b + 1)/5
Factor 1/3*w**2 - 172 - 125/3*w.
(w - 129)*(w + 4)/3
Let z be (-12)/(-12) - (-136)/4. Let u be (17/34)/(z/120). Factor -12/7*c + 12/7*c**3 + 9/7*c**2 + 3/7*c**4 - u.
3*(c - 1)*(c + 1)*(c + 2)**2/7
Let c(f) be the second derivative of f**7/210 + 17*f**6/45 - 7*f**5/6 - 4*f**3 + 3*f**2 + 17*f. Let i(d) be the second derivative of c(d). Factor i(p).
4*p*(p - 1)*(p + 35)
Let q = 0 + 2. Suppose 4*b - 3*b = q*g + 3, g = 0. Factor -20*z**2 - 3*z**4 + 7*z**4 + 145*z**b + 4*z**5 - 8*z - 157*z**3.
4*z*(z - 2)*(z + 1)**3
Let y(z) = -57*z + 507. Let c be y(8). Factor -48*b**2 + 50*b + 10*b + 2 + c + 51 + 26*b**3 - 30*b**3.
-4*(b - 2)*(b + 1)*(b + 13)
Determine j, given that 7*j**4 - 115/2*j**3 + 1/4*j**5 - 451/4*j + 35 + 128*j**2 = 0.
-35, 1, 4
Let k be 17 + (624/(-52) - (-66)/(-14)). What is j in -k*j**3 - 74/7*j + 40/7*j**2 + 36/7 = 0?
1, 18
Let q(d) be the second derivative of -2/3*d**3 + 0*d**2 + 1/12*d**4 - 130*d + 0. Find i such that q(i) = 0.
0, 4
Let z(b) be the first derivative of 3*b**5/100 - b**4/10 - 3*b**3/10 + 95*b + 54. Let o(s) be the first derivative of z(s). Factor o(y).
3*y*(y - 3)*(y + 1)/5
Let n(j) = j**3 + 24*j**2 - 15*j - 358. Let t be n(-24). Let o = 1/136 - -263/1224. Factor o + 4/9*z + 2/9*z**t.
2*(z + 1)**2/9
Find h such that 33*h - 356*h**2 + 171*h**2 + 181*h**2 + 3008 + 311*h = 0.
-8, 94
Let t(d) be the second derivative of -64*d + 5*d**3 - 1 - 23/3*d**2 - 1/30*d**5 - 7/6*d**4. Factor t(c).
-2*(c - 1)**2*(c + 23)/3
Let j(z) be the first derivative of z**4/12 - 136*z**3/9 + 814*z**2 - 5808*z - 965. Let j(b) = 0. Calculate b.
4, 66
Factor -3/8*f**3 - 129/8*f**2 + 363/2 - 165*f.
-3*(f - 1)*(f + 22)**2/8
Let s(x) = -28*x**2 - 8731*x + 17840. Let f(r) = 6*r**2 + 1744*r - 3568. Let q(y) = -19*f(y) - 4*s(y). Factor q(g).
-2*(g - 892)*(g - 2)
Let h be (-1 - -3)/((-32)/(-64)). Let g(t) be the second derivative of -1/12*t**3 + 0*t**h + 1/120*t**5 + 0 + 7*t + 1/6*t**2. Factor g(n).
(n - 1)**2*(n + 2)/6
Let z(r) be the second derivative of -r**6/20 - 1647*r**5/40 - 75075*r**4/8 + 75625*r**3/4 - 1214*r. Solve z(n) = 0.
-275, 0, 1
Let o(z) be the first derivative of -z**5/10 + 25*z**4/8 - 199*z**3/6 + 423*z**2/4 + 324*z + 2350. Factor o(s).
-(s - 9)**2*(s - 8)*(s + 1)/2
Let r(s) be the first derivative of -36/5*s**5 + 345/4*s**4 - 41 + 30*s - 183/2*s**2 + 56*s**3. Solve r(d) = 0.
-1, 1/4, 1/3, 10
Suppose 8/11 - 962/11*m + 240/11*m**2 = 0. What is m?
1/120, 4
Let r(h) be the first derivative of -5*h**6/6 + 4*h**5 - 5*h**4/4 - 50*h**3/3 + 10*h**2 + 40*h - 1686. Let r(i) = 0. Calculate i.
-1, 2
Let z(f) = 35*f**2 - 360*f. Let g(v) = -70*v - 20*v + 3*v**2 + 6*v**2. Let a(m) = -15*g(m) + 4*z(m). Factor a(q).
5*q*(q - 18)
Let n(c) = 2*c + 42. Let r be n(-23). Let a be -7