= -5*a(n) - 2*r(n). What is x in q(x) = 0?
0, 12, 27
Suppose -3*z = 2*w - 9, 0 = -w + 3*z - 6*z + 9. Suppose 4*c + 4*h = 9*h + 12, -c + 5*h + 3 = w. Solve 9/4 + 3/8*y**c + 3*y**2 + 39/8*y = 0.
-6, -1
Find w, given that 0*w + 2/3*w**5 + 50*w**3 + 0 - 82/3*w**4 + 78*w**2 = 0.
-1, 0, 3, 39
Let y be 0 + (-76)/(-4) + 7802/(-415). Factor -4/5 + 0*a + 3/5*a**2 + y*a**3.
(a - 1)*(a + 2)**2/5
Let n(f) be the first derivative of 26*f**5 + 63*f**4/2 - 4*f**3/3 - 12900. Factor n(u).
2*u**2*(u + 1)*(65*u - 2)
Let c(u) be the third derivative of 9/64*u**4 + 80*u**2 + 0*u + 0 + 5/96*u**5 + 1/24*u**3. Solve c(t) = 0 for t.
-1, -2/25
Let w(m) be the second derivative of 9*m - 1/2*m**2 + 0 + 1/18*m**3 + 1/12*m**4 - 1/60*m**5. Solve w(r) = 0 for r.
-1, 1, 3
Let d be (-60)/3*(-22)/(-275)*140/(-84). Determine p, given that 4*p**2 + d*p**3 - 4/3*p**4 + 0*p + 0 = 0.
-1, 0, 3
Suppose -1088/5*s**2 + 4/5*s**3 + 2184/5 - 220*s = 0. Calculate s.
-2, 1, 273
Let n(l) = 6*l**2 + 12*l - 45. Let p(r) = 7*r**2 + 10*r - 44. Suppose 0 = -5*z + 4*i + 27, 4*z - 9*z = -2*i - 21. Let g(q) = z*p(q) - 4*n(q). Factor g(w).
-3*(w - 2)*(w + 8)
What is n in 3177*n - 372 + 36 - 3085*n - 2*n**2 = 0?
4, 42
Let m = -120 + 99. Let y be ((-48)/1)/(m/2). Factor -16/7*s - 2/7*s**2 - y.
-2*(s + 4)**2/7
Suppose 4 = -2*c + 8. Suppose -6 = c*s - 4*s. Factor o**2 - 3*o**2 + 12*o**3 - 3*o**s.
o**2*(9*o - 2)
Let r(i) be the second derivative of -67*i - 1/5*i**6 - 3/2*i**3 + 1/2*i**4 + 0*i**2 + 0 - 1/14*i**7 + 3/5*i**5. What is h in r(h) = 0?
-3, -1, 0, 1
Determine o so that 14/5*o**2 + 28/5*o**3 - 2/5*o**4 - 184/5*o - 168/5 = 0.
-2, -1, 3, 14
Suppose 0 = -25*i + 21*i + 12. Let f(y) be the second derivative of 0 + 1/6*y**4 + 3*y**2 + 4/3*y**i - y. Factor f(v).
2*(v + 1)*(v + 3)
Suppose -4*v + 59 = c - 35, -5*v - 4*c + 123 = 0. Suppose -v*a + 21*a = -10. Factor -3*g**2 - 2 + 6*g + 3*g**4 + 3*g**a - 24*g**3 + 2 + 15*g**3.
3*g*(g - 1)**2*(g + 1)*(g + 2)
Let w be (60/(-6))/((-50)/(-60)) + (-112)/(-6). Factor -w - 13/2*i + 1/6*i**2.
(i - 40)*(i + 1)/6
Let x(u) be the second derivative of u**4/3 + 4*u**3 + u**2 - 45*u. Let v be x(-6). Factor -1/3*a**v - 5/9*a**3 - 4/9 + 4/3*a.
-(a - 1)*(a + 2)*(5*a - 2)/9
Let n be (-33)/132 + 884/16. Let w be -26*(0 + 1 - n/50). Solve -1/5*m**3 + w*m - 7/5 - m**2 = 0 for m.
-7, 1
Let v = 16 - 14. Factor 4*p**3 + p - 2*p + 3*p - 6*p**2 + 0*p**v.
2*p*(p - 1)*(2*p - 1)
Let l(f) be the first derivative of f**4/16 - 19*f**3/12 + 83*f**2/8 - 65*f/4 + 895. Solve l(w) = 0 for w.
1, 5, 13
Let a(c) be the second derivative of c**4/12 + 587*c**3/24 - 147*c**2/8 - 2578*c. Factor a(p).
(p + 147)*(4*p - 1)/4
Let x(t) be the third derivative of t**5/4 - 2305*t**4/24 - 385*t**3/3 - 2468*t**2. Suppose x(d) = 0. What is d?
-1/3, 154
Let d(i) be the second derivative of -22*i**2 - 13/3*i**3 + 0 - 1/6*i**4 - 186*i. Factor d(m).
-2*(m + 2)*(m + 11)
Let t(z) be the second derivative of -z**4/90 + 191*z**3/5 + 344*z**2/3 + 1324*z + 1. Factor t(l).
-2*(l - 1720)*(l + 1)/15
Let l = 133040 - 133038. Factor 0 + 1/3*b**3 - 2*b + 5/3*b**l.
b*(b - 1)*(b + 6)/3
Let w be 0/((-8 + 10)*-1). Let z(j) = 18*j**2 - 2*j + 2. Let v be z(w). Find r, given that 8/3*r**v + 20/9*r + 2/3 + 4/3*r**3 + 2/9*r**4 = 0.
-3, -1
Let l(m) = m**2 - m. Let v(u) be the third derivative of u**5/15 - 11*u**4/8 - u**3 + 50*u**2 + u. Let s(k) = -24*l(k) + 3*v(k). Factor s(n).
-3*(n + 6)*(4*n + 1)
Find w, given that -6/7*w**4 - 40/7 + 34/7*w**2 - 16*w + 4*w**3 = 0.
-2, -1/3, 2, 5
Suppose 87*w**2 - 41*w**3 - 63*w**3 + 59*w**3 + 105*w - 27*w**4 = 0. What is w?
-7/3, -1, 0, 5/3
Find l, given that 22*l**2 + 104 + 2*l**3 - 28*l**2 - 13*l + 10*l**2 - 83*l + 14*l**2 = 0.
-13, 2
Let t(c) be the first derivative of c**4 - 42*c**3 + 65*c**2 - 2*c - 346. Let a(j) = -9*j**3 + 251*j**2 - 262*j + 5. Let n(f) = -2*a(f) - 5*t(f). Factor n(r).
-2*r*(r - 63)*(r - 1)
Let p(m) = 6*m**2 - m - 4. Let k(c) = 38*c**2 - 5102*c + 3246128. Let s(x) = -k(x) + 6*p(x). Solve s(d) = 0.
1274
Let s(y) = -y**3 - 35*y**2 - 80*y - 183. Let w be s(-31). Let n = 1550 + w. Factor -1/2*a**n + 2*a + 1/2*a**2 - 2.
-(a - 2)*(a - 1)*(a + 2)/2
Let r(l) be the first derivative of 1/6*l**3 - 94 - 5*l**2 + 50*l. Factor r(g).
(g - 10)**2/2
Let x(g) be the first derivative of 5*g**6/6 + 5*g**5 + 45*g**4/4 + 35*g**3/3 + 5*g**2 - 692. Factor x(m).
5*m*(m + 1)**3*(m + 2)
Let h be 0 - (-35)/5 - 4. Suppose 4*j = -n, 14 = 4*n + h*j - j. Find m such that -5 - 11 + 20 + n*m**2 - 8*m = 0.
1
Let a(i) = i + 18. Let o be a(-20). Let f(j) = 5*j**3 + 5*j**2 + 10*j + 4. Let r(l) = -l**3 + l**2. Let d(m) = o*f(m) - 6*r(m). Factor d(q).
-4*(q + 1)**2*(q + 2)
Let z(g) be the first derivative of -g**4/10 - 8*g**3/15 + 21*g**2/5 + 363. Factor z(v).
-2*v*(v - 3)*(v + 7)/5
Let v(a) be the first derivative of -a**3/9 - 16*a**2 - 768*a - 1433. Find b such that v(b) = 0.
-48
Let g(t) = -t**2 + 12*t - 24. Let d be g(8). Suppose -w - 3*w + d = 0. Let 1 - 2*j**3 + j**w + j**2 - j**5 + 540*j**4 + 3*j - 543*j**4 = 0. Calculate j.
-1, 1
Let a(n) be the second derivative of -n**7/98 - n**6/10 - 12*n**5/35 - 3*n**4/7 + n + 14. Find u, given that a(u) = 0.
-3, -2, 0
Let x(h) be the first derivative of -h**6/12 + 103*h**5 + h**4/8 - 515*h**3/3 - 716. Find r such that x(r) = 0.
-1, 0, 1, 1030
Let m(a) be the first derivative of 4*a**3/3 - 27. Let t(g) = 7*g**2. Let y = 9 + -4. Let s(d) = y*m(d) - 3*t(d). Factor s(f).
-f**2
Let m(v) = 2*v**3 + v**2 + 2. Let q(y) = 12*y**4 - 59*y**3 - 91*y**2 + 108*y + 76. Let x(p) = -16*m(p) - q(p). Let x(i) = 0. Calculate i.
-2, -3/4, 2, 3
Let h = 5183 - 5180. Factor 2/7*z**h - 4/7*z**2 + 0 + 0*z.
2*z**2*(z - 2)/7
Let h(p) = -2*p**2 + 11*p - 6. Suppose 0*o + 12 = 3*o. Let w be h(o). Let -3*c**2 - 7*c + w + 0*c + c + 9*c = 0. What is c?
-1, 2
Let j(p) be the third derivative of -p**8/336 - 11*p**7/420 - 19*p**6/240 - 13*p**5/120 - p**4/16 + 5*p**2 - 115. Find s, given that j(s) = 0.
-3, -1, -1/2, 0
Let 3069/4*b**3 + 315*b**5 + 291*b + 2313/2*b**2 + 18 - 5361/4*b**4 = 0. What is b?
-2/5, -1/4, -2/21, 2, 3
Let t = 2613 - 1807. Let i = t + -804. Factor 4/5 + 2*d - 4/5*d**2 - i*d**3.
-2*(d - 1)*(d + 1)*(5*d + 2)/5
Suppose 0 = -q + 4*p - 198, -3*q - 403 - 191 = -p. Let o = -198 - q. Factor o + 0*a**2 - 2/5*a**3 + 8/5*a.
-2*a*(a - 2)*(a + 2)/5
Let g(c) be the first derivative of 2*c**3/33 + 300*c**2/11 - 602*c/11 - 3623. Factor g(m).
2*(m - 1)*(m + 301)/11
Let p(t) = -19*t**2 + 53*t - 18. Let m(o) = -59*o**2 + 161*o - 57. Let d(a) = 2*m(a) - 7*p(a). Factor d(y).
(y - 3)*(15*y - 4)
Let g(i) be the first derivative of 139 + 3*i**4 + 172/3*i**3 + 24*i**2 - 112*i. Factor g(n).
4*(n + 1)*(n + 14)*(3*n - 2)
Let h(f) be the first derivative of f**6/21 + 54*f**5/35 - 3*f**4/14 - 158*f**3/21 + 54*f**2/7 + 4827. What is y in h(y) = 0?
-27, -2, 0, 1
Let x(w) be the third derivative of -1/12*w**4 + 1/15*w**5 + 43*w**2 + 0 - 2/3*w**3 + 1/60*w**6 + 0*w. Solve x(q) = 0.
-2, -1, 1
Let r(n) be the third derivative of -n**8/672 - n**7/210 - n**6/720 + n**5/120 + 37*n**3/6 + 53*n**2. Let i(f) be the first derivative of r(f). Factor i(o).
-o*(o + 1)**2*(5*o - 2)/2
Find r such that 13/5*r**2 - 38/5 + 49*r = 0.
-19, 2/13
Suppose -301*q = -236*q - 260. Let k(o) be the second derivative of -4*o**2 + 0 + 4/15*o**6 - 21*o - 2/3*o**3 + 7/5*o**5 + 2*o**q. Factor k(i).
4*(i + 1)**2*(i + 2)*(2*i - 1)
Let i(c) be the third derivative of 0 - 1/90*c**6 + 50*c**2 + 0*c - c**4 + 1/6*c**3 + 1/6*c**5. Let s(d) be the first derivative of i(d). Factor s(b).
-4*(b - 3)*(b - 2)
Let x be (-7 - -1 - (39 + 20916/(-468)))/(2/(-16)). Factor 16/13*a + 2/13 + x*a**2.
2*(4*a + 1)**2/13
Suppose 21*z - 56 = 14*z. Factor s**3 - z*s - 32 - 43*s**2 - 3*s**3 + 51*s**2 + 4*s**3.
2*(s - 2)*(s + 2)*(s + 4)
Let n(l) = -2*l**3 - l**2 + l + 1. Let u(o) = 3*o**4 + 1097*o**3 + 101542*o**2 + 294848*o - 1. Let a(y) = n(y) + u(y). Factor a(t).
3*t*(t + 3)*(t + 181)**2
Let z(q) be the third derivative of 0 + 3/7*q**3 - 45*q + 1/70*q**7 + 19/280*q**6 - 13/140*q**5 - 19/56*q**4 + 2*q**2. Suppose z(l) = 0. Calculate l.
-3, -1, 2/7, 1
Suppose 0 = -f - g - 5, -4*f = 5*g + 24 + 1. Suppose -4*t = 2*v - 6*v - 12, -t + 5 = f. Factor v*o**5 + o + 30*o**4 + 4*o**2 - 4*o**3 + o - 32*o**4 - 2.
2*(o - 1)**3*(o + 1)**2
Let k(w) be the third derivative of -2*w**2 + 31/180