 409 + 8981*v**2 + 180*v + 357 = 0. What is v?
-33, -3
Factor -1/2*m**2 - 49 - 51/2*m.
-(m + 2)*(m + 49)/2
Let q(k) be the second derivative of -k**4/36 + 59*k**3/18 + 65*k**2 + 75*k - 1. Find g, given that q(g) = 0.
-6, 65
Let n(b) = -3. Let s(u) = u**2 - u + 2. Suppose 0 = 4*i + 20 - 64. Suppose -i*l + 12 = -8*l. Let o(d) = l*n(d) + 3*s(d). Determine q so that o(q) = 0.
-1, 2
Let o(w) be the third derivative of -85*w**8/84 - 149*w**7/42 + 43*w**6/24 + 151*w**5/12 + 125*w**4/24 - 5*w**3/3 + 3727*w**2 + 1. Suppose o(l) = 0. What is l?
-2, -1, -1/4, 1/17, 1
Let m(u) be the third derivative of -5/84*u**8 + 4/105*u**7 + 0*u + 0*u**3 + 83*u**2 + 0*u**4 + 0*u**6 + 0*u**5 - 2. Factor m(g).
-4*g**4*(5*g - 2)
Let m = -19/2136 + 44951/10680. Determine c so that -c**2 + 0 - 4/5*c**4 + 0*c - m*c**3 = 0.
-5, -1/4, 0
Let b(c) be the third derivative of -26/15*c**5 + 0 - 15*c**2 + 0*c**3 + 1/30*c**6 + 0*c + 169/6*c**4. Factor b(l).
4*l*(l - 13)**2
Let o(m) be the second derivative of m**3/6 - 5*m**2/2 - m + 9. Let n be o(9). Determine y so that 4/7 + 6*y**2 + 34/7*y**3 + 10/7*y**n + 22/7*y = 0.
-1, -2/5
Let i(q) = -15*q**2 - 15931*q + 112. Let w(a) = -12*a**2 - 12745*a + 88. Let d(s) = -11*i(s) + 14*w(s). Factor d(g).
-3*g*(g + 1063)
Factor 67/5*f + 1/5*f**2 + 0.
f*(f + 67)/5
Let h(p) = 27*p + 1353. Let a be h(-50). Suppose -4*g + 2 = t - 2*g, 4*t = g + 8. Let -2/7*w**a - 22/7*w + 2*w**t + 10/7 = 0. Calculate w.
1, 5
Let w(b) = 403 + 1254*b - 2544*b + 1259*b. Let u be w(13). Suppose u - 1/4*v**3 + 0*v + 1/4*v**2 = 0. What is v?
0, 1
Find t such that t**3 - 59/8*t**2 + 3/8*t**4 + 3/2*t + 9/2 = 0.
-6, -2/3, 1, 3
Let d(v) be the third derivative of -v**6/90 - 239*v**5/90 + 121*v**4/36 + 40*v**3/3 + 1512*v**2. What is m in d(m) = 0?
-120, -1/2, 1
Let l(b) be the first derivative of -b**6/42 - 6*b**5/7 + 149*b**4/14 - 268*b**3/21 - 1545*b**2/14 - 950*b/7 + 697. Let l(z) = 0. What is z?
-38, -1, 5
Let u = 393077 + -393074. Suppose 2/7*c**5 + 6/7*c + 4/7 - 4/7*c**2 - 8/7*c**u + 0*c**4 = 0. What is c?
-1, 1, 2
Factor -1/12*r**3 - 89/6*r**2 - 353/12*r - 44/3.
-(r + 1)**2*(r + 176)/12
Let t be (1*(-10)/(-50))/(606/13615). Let h = t + 2/303. Factor -h - 3/2*l**2 - 6*l.
-3*(l + 1)*(l + 3)/2
Let m be 4 - 12/(12/3). Let p be m/(-2) + 6/(-4) + 2. Factor -u + 0 + u**2 + 0 - 6 + p.
(u - 3)*(u + 2)
Let u = 64021/7 - 9139. Determine n, given that 116/7*n**2 + u - 40/7*n**3 + 4/7*n**4 - 128/7*n = 0.
1, 2, 6
Factor -4*m**4 - 57*m**3 - 19*m**2 + 61*m**3 + 99*m**2.
-4*m**2*(m - 5)*(m + 4)
Let r(m) be the third derivative of 52*m**5/45 - 7*m**4/6 + 4*m**3/9 + 387*m**2. Factor r(q).
4*(4*q - 1)*(13*q - 2)/3
Suppose -2*a - 3 = 3*a - w, 5*w = -5*a + 15. Let s(n) = n**2 + 7. Let v be s(a). Factor 12*u - 4*u**3 - 12*u**2 + 13*u**3 - v*u - 2*u.
3*u*(u - 1)*(3*u - 1)
Determine w so that 0 - 18*w**2 + 21/2*w**3 - w**4 - 54*w = 0.
-3/2, 0, 6
Let g(t) = -5*t**2 - 15*t + 20. Let h(b) = -11*b**2 - 33*b + 40. Suppose 0 = 35*n - 44*n - 126. Let k(z) = n*g(z) + 6*h(z). Factor k(w).
4*(w - 2)*(w + 5)
Let y(a) = -14*a + 344. Let w(g) = 16*g - 342. Let j(n) = 2*w(n) + 3*y(n). Let u be j(30). Find s, given that u - 128/9*s**3 - 192*s + 7/9*s**4 + 88*s**2 = 0.
2/7, 6
Let m(b) be the third derivative of b**7/1470 - 23*b**6/280 + 529*b**5/140 - 12167*b**4/168 + 2*b**2 - 1277*b. Solve m(t) = 0.
0, 23
Let m be 136/(-80)*-10 - (-47)/3. Solve -113*d**3 - 28/3*d**4 + 49/3*d**5 - 8 - m*d**2 + 140/3*d = 0 for d.
-2, -1, 2/7, 3
Suppose 3*v = -5*q - 23, -14*q + 17*q + 5 = -4*v. Let s(p) be the third derivative of 0 + 0*p - 1/15*p**5 - 2*p**3 - 2/3*p**v + p**2. Find z such that s(z) = 0.
-3, -1
Let y = 633 + -585. Suppose 116*j + y = 128*j. Factor 0 + 0*w + 8/7*w**2 + 2/7*w**j - 10/7*w**3.
2*w**2*(w - 4)*(w - 1)/7
Let i(n) be the second derivative of n**5/30 - 2*n**4 + 119*n**3/3 - 578*n**2/3 + 3739*n. Find b, given that i(b) = 0.
2, 17
Let s be (-1120)/(-4) + 7 + -2. Suppose s*r - 294*r = -18. Let -4/5*a**3 + 2/5*a**5 + 16/5*a**r - 14/5*a + 4/5 - 4/5*a**4 = 0. What is a?
-2, 1
Let t(j) be the first derivative of -j**4/20 + 3*j**3 - 22*j**2/5 - 1122. Solve t(n) = 0.
0, 1, 44
Factor 829*y + y**3 + 2*y**3 - 27*y - 60*y + 99*y**2 - 4*y**3.
-y*(y - 106)*(y + 7)
Let y = 324059/6 + -648055/12. Find x, given that -3/4*x**3 + 15/4*x**2 + y + 39/4*x = 0.
-1, 7
Solve 52/3*d**4 - 617/3*d**3 + 1944 + 828*d - 1/3*d**5 - 1666/3*d**2 = 0 for d.
-2, 2, 27
Let x = 1212 + -1182. Suppose -3*c - 135 = -x*c. Factor -11/5*t**3 + 4/5*t - 12/5*t**2 + c*t**5 + 6*t**4 + 0.
t*(t + 1)**2*(5*t - 2)**2/5
Let c be -11 + (-840)/(-84) + (-5)/(-3). Let -c*b**3 + 0 + 0*b - 4/3*b**2 = 0. Calculate b.
-2, 0
Suppose -792*h - 3/5*h**2 - 261360 = 0. Calculate h.
-660
What is h in 278258/7 + 2/7*h**2 + 1492/7*h = 0?
-373
Let q(h) = -7*h**2 + 85*h + 12. Let p be q(12). Factor 4 - 10*f**2 - p - 50*f + 5*f.
-5*(f + 4)*(2*f + 1)
Let l = 2959757/3 - 986585. Suppose 376/3*a + l*a**2 + 17672/3 = 0. What is a?
-94
Solve -3/5*q**2 - 7/10*q + 0 + 1/10*q**3 = 0 for q.
-1, 0, 7
Let w = 17302/5 + -138411/40. Factor 0 + 1/8*c**3 - 1/8*c - w*c**2 + 1/8*c**4.
c*(c - 1)*(c + 1)**2/8
Determine g, given that -510*g**3 - 333/4*g**2 + 0 + 4107/8*g - 27/8*g**5 + 333/4*g**4 = 0.
-1, 0, 1, 37/3
Suppose 5*t - 2*d = 2*t + 34, 3*d = 3*t - 36. Let v be (-8)/t*6/(-12). Let -v*n + 0 + 2/5*n**2 = 0. What is n?
0, 1
Let r(m) be the third derivative of 8/21*m**3 + 0*m + 0 + 63*m**2 - 2/21*m**4 + 1/105*m**5. Factor r(w).
4*(w - 2)**2/7
Let p be (74/4)/(1/4). Let y = -78 + p. Let g(t) = t**4 - 6*t**3 + 13*t**2 - 12*t + 9. Let k(o) = -1. Let x(b) = y*g(b) - 20*k(b). Factor x(z).
-4*(z - 2)**2*(z - 1)**2
Let h(w) be the third derivative of w**7/504 - w**6/72 - 5*w**5/8 - 7*w**4/24 - 95*w**2. Let n(z) be the second derivative of h(z). Factor n(m).
5*(m - 5)*(m + 3)
Let t(y) be the first derivative of y**4/8 + 23*y**3/3 + 529*y**2/4 + 499. What is o in t(o) = 0?
-23, 0
Let 1/3*o**3 + 17*o**2 - 160/3*o + 36 = 0. Calculate o.
-54, 1, 2
Let m = -9 + 19. Let l be 6/4*52 - (-514 - -522). Determine j so that 5*j**3 + 115*j + 17*j**2 + l + 23*j**2 + m*j**2 = 0.
-7, -2, -1
Let t be -6*(-6)/(-60) + (-5)/((-1800)/236). Let x(s) be the second derivative of t*s**3 - 39*s + 1/36*s**4 + 0 - 1/3*s**2. Suppose x(h) = 0. What is h?
-2, 1
Let u = 42 - -35. Factor u*o**2 - 38*o - 441 - 4*o - 78*o**2.
-(o + 21)**2
Let m(a) be the first derivative of 2*a**5/35 - 13*a**4/7 + 418*a**3/21 - 484*a**2/7 - 1033. Factor m(c).
2*c*(c - 11)**2*(c - 4)/7
Let b(u) = -11*u**4 - 213*u**3 + 895*u**2 - 7*u + 21. Let v(d) = 3*d**4 + 72*d**3 - 298*d**2 + 2*d - 6. Let j(m) = 4*b(m) + 14*v(m). What is z in j(z) = 0?
0, 4, 74
Let i be ((-43 - -43)/(-2 - -1))/(-5). Let o(z) be the third derivative of 0*z + 0*z**3 + i*z**5 + 1/120*z**6 + 19*z**2 - 1/24*z**4 + 0. Factor o(u).
u*(u - 1)*(u + 1)
Let x = -27881 + 1254649/45. Let u(m) be the third derivative of 12*m**2 + 0*m - x*m**6 - 1 + 1/45*m**7 + 11/90*m**5 + 0*m**3 - 1/18*m**4. Factor u(s).
2*s*(s - 1)**2*(7*s - 2)/3
Let z(m) = -3590*m - 53845. Let u be z(-15). Factor -6/13*p**2 - 10/13*p**3 + 2/13*p**u - 2/13*p**4 + 0 + 0*p.
2*p**2*(p - 3)*(p + 1)**2/13
Let v be (0 + 1 - 7)*5/(-10). Suppose 3*r**2 + r**2 - 4*r**4 - v*r**3 + 14*r**3 - 13*r**3 + 2*r**5 = 0. What is r?
-1, 0, 1, 2
Let l(y) be the third derivative of -y**5/12 - 35*y**4/2 + 425*y**3/6 - 2*y**2 - 531. Suppose l(j) = 0. Calculate j.
-85, 1
Let k = -5832952/15 + 388864. Factor 2/15*y**5 + k + 16/15*y - 2/15*y**4 + 2/15*y**2 - 2/3*y**3.
2*(y - 2)**2*(y + 1)**3/15
Let f(s) be the first derivative of 43/6*s**2 - 7*s - 23/9*s**3 - 77 + 1/12*s**4. Let f(j) = 0. What is j?
1, 21
Let p(d) be the first derivative of -1/20*d**4 - 3/5*d**3 + 15 - 11/10*d**2 + 1/25*d**5 - 4/5*d. Find t such that p(t) = 0.
-1, 4
Let l(t) be the third derivative of t**6/240 - 9*t**5/40 + 45*t**4/16 + 225*t**3/4 + 182*t**2 - 3. Factor l(n).
(n - 15)**2*(n + 3)/2
Suppose -q = -4*j + 16, 18*q - 2*j + 8 = 21*q. Let v be (2 - 5) + (-85)/(-25) - q. What is p in 0*p**2 + 0 + v*p**3 - 2/5*p = 0?
-1, 0, 1
Let u(d) be the first derivative of d**5/5 + 3*d**4/2 - 4*d**3/3 - 12*d**2 - 1189. Factor u(t).
t*(t - 2)*(t + 2)*(t + 6)
Let l(c) be the third derivative of 7 + 49/4*c**3 + c**2 + 0*c - 1/80*c**6 - 35/16*c**4 - 13/40*c**5. Factor l(f).
-3*(f - 1)*(f + 7