/5*l**3 + 236/5*l - 252/5*l**2 - 48/5 = 0. What is l?
-3, 2/7, 1, 2, 4
Let q(x) be the first derivative of -40*x**4 + 4*x + 64/5*x**5 - 20*x**2 - 63 + 44*x**3. Factor q(v).
4*(v - 1)**2*(4*v - 1)**2
Let y(x) be the third derivative of -2/315*x**7 + 0 + 0*x**5 - 1/1008*x**8 + 5*x**2 + x + 0*x**3 + 0*x**6 + 0*x**4. Suppose y(l) = 0. Calculate l.
-4, 0
Let f be (-372)/(-2976) - (-3)/(-24). Find m, given that -1/11*m**3 - 2/11*m - 3/11*m**2 + f = 0.
-2, -1, 0
Let v(z) = -z - 2. Let d be v(-1). Let p be d + (3 - 6) + 7. Determine m, given that 7*m**p + 3*m - 22 + 48 + 12*m**2 - 28 = 0.
-1, 2/7
Let j(s) be the second derivative of -2/15*s**6 - 2/21*s**7 + 0 + 0*s**3 - 53*s + 0*s**2 + 1/5*s**5 + 1/3*s**4. Find v such that j(v) = 0.
-1, 0, 1
Let r(m) be the third derivative of -54*m**2 + 0*m + 0 + 605/6*m**3 - 55/12*m**4 + 1/12*m**5. Factor r(o).
5*(o - 11)**2
Factor 1142440*k + 250/3*k**3 + 16900*k**2 + 77228944/3.
2*(5*k + 338)**3/3
Solve -324/5 + 2/5*z**2 + 18/5*z = 0.
-18, 9
Suppose 0 = -g + 4*r + 1109, 2974 + 381 = 3*g - 5*r. Suppose g + 70*p**3 - 31*p**3 + 155*p**2 - 34*p**3 - 217*p + 1492*p = 0. Calculate p.
-15, -1
Let q(n) = -n**3 - 19*n**2 + 2. Let m be q(-19). Suppose m*a + 9 = 13. What is p in p + p**2 + 0*p**2 - a*p**2 = 0?
0, 1
Let n(g) = 15*g + 16. Let a be n(-1). Let d be 1/5*((-42)/(-12) - a). Find b such that 0*b + 5/4*b**4 + 0 + d*b**2 + 7/4*b**3 = 0.
-1, -2/5, 0
Suppose 4/3*n**4 - 260/3*n**2 - 100*n + 0 + 44/3*n**3 = 0. Calculate n.
-15, -1, 0, 5
Determine i, given that 296/3*i**3 + 13024*i + 4/3*i**4 + 23232 + 6532/3*i**2 = 0.
-33, -4
Let h(r) be the first derivative of -r**4/6 + 28*r**3/9 - 35*r**2/3 + 44*r/3 + 9116. What is v in h(v) = 0?
1, 2, 11
Factor -1/5*l**3 + 0 - l**2 + 1/5*l**4 - 3/5*l.
l*(l - 3)*(l + 1)**2/5
Suppose 0 = -q + 29*m + 406, q + 70 = -57*m + 52*m. Factor -1/8*j**2 + q - 3/4*j.
-j*(j + 6)/8
Let n(r) = 13*r**2 + 187*r + 294. Let y(u) = 13*u**2 + 187*u + 314. Let a(x) = -4*n(x) + 3*y(x). Suppose a(m) = 0. Calculate m.
-13, -18/13
Let l(c) be the second derivative of -2*c**7/21 - 16*c**6/15 + 14*c**5/5 + 16*c**4 + 18*c**3 + 1551*c + 3. Determine z, given that l(z) = 0.
-9, -1, 0, 3
Let y be ((-1296)/1200*115)/((-3)/575). Factor 345*a**2 - 5/3*a**3 + 547515 - y*a.
-5*(a - 69)**3/3
Solve 2/11*y**2 + 6/11*y - 4/11*y**3 + 0 = 0.
-1, 0, 3/2
Let n(r) = -8*r**4 - 6*r**3 + 12*r**2 + 454*r + 1218. Let c(o) = -9*o**4 - 4*o**3 + 12*o**2 + 455*o + 1261. Let y(b) = 6*c(b) - 7*n(b). Solve y(x) = 0.
-6, -4, 5
Let r be 2/7 + (-1300920)/(-840). Suppose -52 = -r*y + 1536*y. Suppose -2/11*l**y - 10/11*l**3 - 12/11*l**2 + 0 + 0*l = 0. What is l?
-3, -2, 0
Let z = -1181171/24 - -393729/8. Solve -178/3*c**3 - 136*c - z*c**5 + 48 + 412/3*c**2 + 32/3*c**4 = 0.
1, 2, 6
Determine m so that -288/17 - 192/17*m**2 - 24/17*m**3 - 416/17*m + 2/17*m**4 = 0.
-2, 18
Let i = -174 - -174. Let m(s) be the second derivative of i*s**5 + 0 + 0*s**3 - 4/21*s**7 + 0*s**4 - 1/15*s**6 - 7*s + 0*s**2. Factor m(u).
-2*u**4*(4*u + 1)
Factor 48*t**2 + 1444/3 - 304*t.
4*(6*t - 19)**2/3
Let w be -14 - (147/(-9) + 209/(-3135)). Suppose 0 = -0*q - 3*q + 6. Find x such that -18/5*x**q + 3/5*x**3 - w*x + 24/5 + 3/5*x**4 = 0.
-2, 1, 2
Let 0 - 310/11*v**3 + 2/11*v**5 + 150/11*v**4 - 150/11*v**2 + 28*v = 0. Calculate v.
-77, -1, 0, 1, 2
Let g(m) be the first derivative of -m**4/26 + 20*m**3/39 + 11*m**2/13 - 237. Suppose g(o) = 0. What is o?
-1, 0, 11
Let n(f) be the first derivative of f**6/4 + 27*f**5/10 + 81*f**4/8 + 23*f**3/2 - 18*f**2 - 54*f - 3211. What is q in n(q) = 0?
-3, -2, 1
Let g(q) be the second derivative of q**4/24 + q**3/3 - 221*q**2/4 - 54*q - 9. Determine h so that g(h) = 0.
-17, 13
Factor 555458/15 + 2/15*r**2 + 2108/15*r.
2*(r + 527)**2/15
Let z(q) be the second derivative of q**6/165 - q**5/11 - 31*q**4/66 + 8*q**3/3 - 48*q**2/11 + 2272*q. Let z(g) = 0. Calculate g.
-4, 1, 12
Suppose -4*z - v + 3236 = 0, -4*z - 5*v + 3252 = -0*v. Let s = z - 808. Let s + 4/5*r - 2/5*r**3 - 2/5*r**2 = 0. What is r?
-2, 0, 1
Let z = -30/19187 + 364673/76748. Factor -1/4*o**3 - z*o**2 - 81/4 - 99/4*o.
-(o + 1)*(o + 9)**2/4
Let d(x) be the third derivative of x**5/90 + 559*x**4/9 + 1249924*x**3/9 - 222*x**2. Determine t so that d(t) = 0.
-1118
Let l(g) = 111*g**4 - 17*g**3 - 3*g**2 + 3*g - 9. Let r(p) = 335*p**4 - 50*p**3 - 10*p**2 + 10*p - 30. Let b(v) = -10*l(v) + 3*r(v). Factor b(s).
-5*s**3*(21*s - 4)
Let v = 123069/676940 - -1/61540. Determine c, given that 4/11 + v*c**2 + 6/11*c = 0.
-2, -1
Let t(g) = -4*g**2 - 20*g + 3. Let f be t(-5). Factor -64*b - 18 - 30*b**2 - 32*b**f - 151*b**4 - 2 + 147*b**4 - 42*b**2.
-4*(b + 1)**3*(b + 5)
Let p(f) = -6*f + 45. Let n = 39 + -35. Let d be p(n). Solve -41 - 3 - 15*k - d + 15 + 5*k**2 = 0 for k.
-2, 5
Suppose 741/7*y**2 - 48/7*y**3 + 36*y + 0 - 9/7*y**4 = 0. What is y?
-12, -1/3, 0, 7
Let l(i) = -100*i**2 + 760*i + 1650. Let p(b) = -10*b - 86. Let x be p(-9). Let r(f) = 9*f**2 - 69*f - 150. Let v(d) = x*l(d) + 45*r(d). Factor v(k).
5*(k - 15)*(k + 2)
Solve 3/4*h**4 + 3/4*h**5 + 6*h - 27/4*h**3 + 9 - 39/4*h**2 = 0 for h.
-2, -1, 1, 3
Suppose -93*p + 68*p - 50 = 0. Let u be (278/695)/(p/(-90)). Let -u*n + 78*n**2 + 0 - 169/2*n**3 = 0. What is n?
0, 6/13
Suppose 3*w - 9 = -q + 3, w - 9 = -2*q. Factor 238*k**4 + 43*k**2 + 27*k**q + 2*k**2 - 235*k**4 - 75*k.
3*k*(k - 1)*(k + 5)**2
Let i = 168329/101181 + 102/33727. What is l in -i*l**2 + 19/3*l + 0 = 0?
0, 19/5
Let f(q) be the first derivative of -q**6/480 + q**4/8 - 25*q**3/3 - 222. Let g(h) be the third derivative of f(h). Factor g(c).
-3*(c - 2)*(c + 2)/4
Factor 5/8*x**3 + 0 + 7/8*x**2 + 1/4*x.
x*(x + 1)*(5*x + 2)/8
Suppose 19*v = 22*v + 34*v - 666. Let a(z) be the third derivative of -1/270*z**5 + 4/27*z**3 + 0*z**4 + 0 + 0*z + v*z**2. Factor a(f).
-2*(f - 2)*(f + 2)/9
Let a(y) be the third derivative of -y**8/1176 - 8*y**7/245 + y**6/7 + 1112*y**5/105 - 1104*y**4/7 + 6912*y**3/7 - 3*y**2 - 59*y. Factor a(g).
-2*(g - 4)**3*(g + 18)**2/7
Solve -348/7*k - 1/7*k**2 - 692/7 = 0.
-346, -2
Suppose -30*h**3 - 45*h**3 + 304*h + 2*h**4 - 100*h**2 - 127*h**2 + 71*h**2 - 75*h**3 = 0. Calculate h.
-2, 0, 1, 76
Let f be (5682/11)/3 + 2/(-11). Suppose -f*w - 126 + 2959 + 1005 - 140 + 2*w**2 = 0. What is w?
43
Suppose -4*v = 12, 5*j - 14 = 4*j + 4*v. Determine k so that 13 + 21 - 16*k - 2*k**2 - 2*k**j - 50 = 0.
-2
Let x(a) be the third derivative of a**7/840 - a**6/32 + 11*a**5/120 + 5*a**4/8 - 13*a**3/3 - 6574*a**2. Let x(g) = 0. What is g?
-2, 2, 13
Determine b so that 34*b - 2*b**4 - 23*b + 32*b + 62*b**3 + 87*b + b**4 + 193*b**2 = 0.
-2, -1, 0, 65
Let t = 8788 + -8784. Let v(c) be the third derivative of 0*c + 0*c**5 + 23*c**2 + 0*c**3 - 1/112*c**8 + 0 + 0*c**6 - 1/70*c**7 + 0*c**t. Factor v(p).
-3*p**4*(p + 1)
Let f(j) be the third derivative of j**6/8 - 8*j**5/3 - 55*j**4/24 + 1254*j**2 + 3. Suppose f(h) = 0. What is h?
-1/3, 0, 11
Suppose 0 = -31*p - 41*p - p - 6*p. Factor 1/5*f**3 + p*f + 0 - 19/5*f**2.
f**2*(f - 19)/5
Let d(t) = -t**2 - 14*t - 41. Let c be d(-6). Let q(g) be the first derivative of -9/2*g**2 - 6*g - g**3 + c. Factor q(i).
-3*(i + 1)*(i + 2)
Let i be 4 + -3 + -34 + 1. Let p = i - -47. Factor -p*c**3 + 12*c + 3*c - 9 - 3*c**2 + 12*c**3.
-3*(c - 1)**2*(c + 3)
Let v(p) be the third derivative of -p**5/12 + 1355*p**4/12 - 367205*p**3/6 - 730*p**2 + p. Suppose v(g) = 0. What is g?
271
Let v(p) be the first derivative of p**3/18 - 25*p**2/2 + 2182. Factor v(a).
a*(a - 150)/6
Determine w, given that 750*w**2 + 287*w**4 + 264*w**4 + 506*w**3 - 547*w**4 - 250 - 2*w = 0.
-125, -1, 1/2
Let b(x) = 5*x**5 + 5*x**4 + x**3 + x**2. Let s = 48 - 56. Let k(l) = 14*l**5 + 14*l**4 + 2*l**3 + 2*l**2. Let n(v) = s*b(v) + 3*k(v). Factor n(o).
2*o**2*(o - 1)*(o + 1)**2
Suppose 2*g + 12 = -0*g - 4*l, 6 = -g + 5*l. Let j be g/14*1 - 6772/(-7). Find r such that -j*r - 2*r**2 + 943*r + r**2 - 144 = 0.
-12
Let q(n) be the second derivative of -n**5/4 + 15*n**4 - 1165*n**3/6 - 675*n**2 + 7850*n. Solve q(b) = 0 for b.
-1, 10, 27
Let x(k) be the third derivative of -k**8/42 - 31*k**7/105 + k**6/3 + 17*k**5/6 - 43*k**4/6 + 16*k**3/3 + 61*k**2 - 15*k + 2. Suppose x(d) = 0. What is d?
-8, -2, 1/4, 1
Suppose -2*x = -7*x. Suppose -4*o + 3*o + 578 = x. Factor o - 578 - 6*g**2 + 3*g**3.
3*g**2*(