t**2 + 5*t + 0 - 9/4*t**4. Factor l(m).
-3*(m - 1)*(m + 5)**2
Let w(m) be the second derivative of 0*m**3 - 1/441*m**7 + 1/63*m**4 - 16*m - 2/315*m**6 + 1/210*m**5 + 0*m**2 + 2. What is h in w(h) = 0?
-2, -1, 0, 1
Suppose 156 = 6*d + 138. Determine q, given that -10*q**2 + 65*q**3 - 46*q**d + 2 - 11*q**2 - 44*q**3 - 3*q - 9*q**4 = 0.
-1, 2/9
Let g be (-32)/(-10) + 5/(-75)*3. Suppose g*x - 65 + 53 = 0. Factor -4*i**2 - x*i + 3*i + 3*i**2 - 8 + 10.
-(i - 1)*(i + 2)
Let z be 3/4*(-1 - -5). Suppose z*k = -5*d - 0*k + 32, -d + 5*k = 16. Factor 8*f + d*f + 12 + 6*f**2 - 3*f**2.
3*(f + 2)**2
Let l(x) be the first derivative of -5*x**4/4 + 545*x**3/3 + 1105*x**2/2 + 555*x - 875. Factor l(a).
-5*(a - 111)*(a + 1)**2
Let d = -157136 - -157140. Determine t, given that 1/7*t**5 + 0*t**d + 0 + 0*t**3 + 0*t + 0*t**2 = 0.
0
Let m(p) be the second derivative of 13*p**5/4 - 35*p**4/3 - 955*p**3/6 + 75*p**2 + p - 18. Factor m(i).
5*(i - 5)*(i + 3)*(13*i - 2)
Suppose -3*s + 14*s = 2662. Find o, given that o**4 + 24*o**3 - s + 0*o**4 + 242 - 3*o**3 = 0.
-21, 0
Let d = -55547/5 - -111099/10. Find s, given that -5/6*s**3 + 0 + 1/6*s**4 + 1/3*s - 1/6*s**2 + d*s**5 = 0.
-1, 0, 2/3, 1
Let m(t) be the first derivative of 2*t**5/35 - 162*t**3/7 + 1458*t**2/7 - 3670. Factor m(v).
2*v*(v - 9)**2*(v + 18)/7
Let y = 194 + -192. Factor -14*v**y + 4*v + 3*v**2 + v**3 + 8*v**2 - 1 - v.
(v - 1)**3
Let d(l) be the third derivative of l**6/40 - 150*l**5 + 375000*l**4 - 500000000*l**3 + 12283*l**2. Factor d(n).
3*(n - 1000)**3
Let z(w) = 7*w**2 - 15*w - 12. Let p(n) = n**2 - 2. Let i = 39 + -38. Let y(x) = i*z(x) - 6*p(x). Factor y(q).
q*(q - 15)
Let -38*v - 77*v**3 - 50*v**2 - 27*v + 82*v**3 + 110 = 0. What is v?
-2, 1, 11
Suppose -5*g + 17*o = 20*o - 25, 3*g + 2*o = 15. Let s be (g - 29/5)/((-180)/50). Factor 2/9*b**4 + 4/9*b**3 + 0 - s*b**2 - 4/9*b.
2*b*(b - 1)*(b + 1)*(b + 2)/9
Let o(p) be the third derivative of p**8/30240 - p**7/420 + 3*p**6/40 + p**5/30 + 11*p**4/6 + p**2. Let c(t) be the third derivative of o(t). Factor c(y).
2*(y - 9)**2/3
Suppose -37*c - 204 = -139*c. Factor -3/5*x**c + 18/5 - 3/5*x.
-3*(x - 2)*(x + 3)/5
Suppose -4*y - 2*l - 566 = 0, -5 = 15*l - 10*l. Let d = -139 - y. Let 3*t - 8/3*t**3 - 1/3*t**5 + 2/3*t**2 + 4/3 - d*t**4 = 0. Calculate t.
-4, -1, 1
Let p be (-156)/(-208)*(-304)/(-6). Suppose 6*b + 64 = p*b. Factor n**3 + 3/2*n - 1/4 - 9/4*n**b.
(n - 1)**2*(4*n - 1)/4
Let d(a) be the first derivative of -18*a**6 + 504*a**5/5 - 579*a**4/4 + 29*a**3 + 87*a**2/2 + 9*a - 1170. Suppose d(f) = 0. Calculate f.
-1/6, 1, 3
Suppose -11*a + 13*a - 134 = -5*k, 0 = 2*k + a - 53. Suppose -k*c + 41 = -71. Find t such that -9/2*t**5 - t + 11/2*t**3 - 7/2*t**2 + 7/2*t**c + 0 = 0.
-1, -2/9, 0, 1
Suppose r = -32*f + 31*f + 41, -2*r = 3*f - 124. Find t, given that -f - 28 - 3*t**3 + 42*t**2 + 70 = 0.
0, 14
Let a be ((-5)/180*-6)/((-15)/12). Let t = 59/105 + a. Factor 0 + t*f - 3/7*f**2.
-3*f*(f - 1)/7
Factor 2384*l + 4664 - 4*l**3 + 1263*l + 2320*l**2 + 3341*l.
-4*(l - 583)*(l + 1)*(l + 2)
Suppose 0 = -18*d + 13*d + 180. Let i = 9 + d. Suppose 11*k - 128 + 13 - 81 + i*k - 4*k**2 = 0. Calculate k.
7
Suppose -2/9*s**3 - 310/9*s**2 - 4250/3*s - 6250 = 0. Calculate s.
-75, -5
Suppose 814*j + 428 = 1028*j. Let h(v) be the first derivative of -15/2*v**j + 35/3*v**3 + 0*v + 41. Factor h(l).
5*l*(7*l - 3)
Let q(n) = 2*n**2 - 174*n - 5056. Let c be q(110). Find w, given that 2/11*w**5 + 0 - 16/11*w - 18/11*w**c + 18/11*w**2 + 14/11*w**3 = 0.
-1, 0, 1, 8
Let d(y) be the second derivative of 0 - 3/2*y**2 - 2/5*y**3 + 1/20*y**4 + 137*y. Factor d(o).
3*(o - 5)*(o + 1)/5
Let o = 2/3855 + 2147231/7710. Let j = o + -277. Suppose -6*g + j*g**2 + 9/2 = 0. Calculate g.
1, 3
Let w(c) be the second derivative of -c**7/84 + c**6/15 + 3*c**5/20 - 3*c**4/2 + 9*c**3/4 + 1307*c. What is x in w(x) = 0?
-3, 0, 1, 3
Factor 1/2*t**3 - 53/6*t**2 + 0 - 70/3*t.
t*(t - 20)*(3*t + 7)/6
Suppose -x = 4*u - 22, 3*x + 20 = -2*u + 36. Let w(d) be the second derivative of 2*d + 0 + 1/60*d**4 - 1/15*d**3 + 0*d**x. Suppose w(z) = 0. Calculate z.
0, 2
Let z(s) be the second derivative of 3 + 1/90*s**5 - 3*s + 0*s**2 - 2/27*s**4 + 4/27*s**3. Solve z(a) = 0 for a.
0, 2
Let t = 24/235 + 4112/235. Let n be 5 + (4 + 1 - 8). Suppose t*h - 242/5*h**n - 8/5 = 0. What is h?
2/11
Factor 481/2*g - g**2 - 120.
-(g - 240)*(2*g - 1)/2
Let c be 6058/(-35)*(-12)/(-1464). Let g = 3/305 - c. Determine y, given that -g*y - 8/7 - 2/7*y**2 = 0.
-4, -1
Find m such that 0*m + 0 - 34/7*m**3 + 2/7*m**4 - 276/7*m**2 = 0.
-6, 0, 23
Factor -3/2*m**3 - 117/4 - 27*m**2 + 1/4*m**4 + 115/2*m.
(m - 13)*(m - 1)**2*(m + 9)/4
Let q(b) = 32*b - 237. Let y be q(7). Let g be (y - 544/(-40)) + (-2)/70. Determine t, given that 4/7*t**3 + g*t**2 - 4/7 - 4/7*t = 0.
-1, 1
Let m(j) be the second derivative of j**5/150 + 44*j**4/45 + 316*j**3/15 + 912*j**2/5 + 4824*j. Factor m(x).
2*(x + 6)**2*(x + 76)/15
Let c(n) be the second derivative of n**5/5 + 37*n**4/3 + 142*n**3/3 + 70*n**2 + 13*n + 16. Factor c(t).
4*(t + 1)**2*(t + 35)
Let j be 6/5*410/123. Let a(p) be the first derivative of 1/5*p**2 + 26 + 8/15*p**3 - 8/5*p - 1/10*p**j. Factor a(u).
-2*(u - 4)*(u - 1)*(u + 1)/5
Let v(h) = -35*h**2 + 150*h - 275. Let f(r) = 64*r**2 - 299*r + 549. Let g(a) = -5*f(a) - 9*v(a). Factor g(d).
-5*(d - 27)*(d - 2)
Let b(z) = -z**3 - 21 + 2*z**3 - 5*z**3 - z + z**3 - 3*z + 22*z**2. Let g be b(7). Find k, given that g*k + 4/11*k**2 + 0 + 8/11*k**4 - 18/11*k**3 = 0.
0, 1/4, 2
Suppose 4/7*l**3 - 20/7 + 2/7*l**5 - 12/7*l**4 - 6/7*l + 32/7*l**2 = 0. What is l?
-1, 1, 2, 5
Let t = -2665004/9 + 296112. Find m such that -12*m**3 + 260/3*m**2 + 0 + t*m**4 - 676/9*m = 0.
0, 1, 13
Let f(v) be the second derivative of v**5/5 - 200*v**4/3 + 21146*v**3/3 - 112908*v**2 + 22*v - 44. Factor f(t).
4*(t - 97)**2*(t - 6)
Solve -76614/13 + 2/13*j**3 + 446/13*j**2 + 24182/13*j = 0 for j.
-113, 3
What is z in 6*z**2 - 8507*z**4 + 8512*z**4 - 71*z**2 + 60 - 20*z**3 + 20*z = 0?
-2, -1, 1, 6
Suppose -3*z + 171 = 4*b, 0*z - 5*b = -4*z + 197. Let a = -40 + z. Factor -6*j**4 - 14*j**4 + 5*j + 2*j**2 + a*j**2.
-5*j*(j - 1)*(2*j + 1)**2
Let g(f) = -10*f**2 + 35*f - 20. Let n be g(-4). Let o be n/(-400)*(-10)/(-14). Factor 0 + o*r + 2/7*r**3 - 6/7*r**2.
2*r*(r - 2)*(r - 1)/7
Factor -4500 - 471*w**3 - 490*w**3 - 380*w**2 + 3300*w + 973*w**3.
4*(w - 15)**2*(3*w - 5)
Let i be (4*11/(-110))/2 + (-46)/(-10). Determine z, given that -6/5*z**2 + 12/5 - i*z + 4/5*z**3 = 0.
-2, 1/2, 3
Let i(t) be the first derivative of -4*t**3/15 - 612*t**2/5 - 93636*t/5 - 552. Suppose i(z) = 0. Calculate z.
-153
Let r(u) be the third derivative of 0*u + 0 + 0*u**3 - 7/4*u**5 - 19/40*u**6 - 1/70*u**7 - 143*u**2 - 17/8*u**4. Factor r(n).
-3*n*(n + 1)**2*(n + 17)
Let i(y) be the third derivative of 13*y**8/672 - y**7/28 - 8*y**6/15 + 3*y**5/5 + 19*y**4/3 - 4*y**3 + 471*y**2 + y. Solve i(g) = 0 for g.
-2, 2/13, 2, 3
Let a(o) be the second derivative of 1/40*o**5 - 59*o - 1/8*o**2 + 1/168*o**7 - 1/8*o**3 + 1/40*o**6 - 1 - 1/24*o**4. Suppose a(m) = 0. Calculate m.
-1, 1
Let a = 117 + -114. Find p, given that -4 + 6*p + p**a - 5*p**3 - 1354*p**2 + 1360*p**2 = 0.
-1, 1/2, 2
Let d(u) = -10*u**2 + 106*u + 315. Let l be d(13). Determine p so that 64*p**4 + 128/3*p**2 + 6*p + 6*p**5 + 284/3*p**l + 0 = 0.
-9, -1, -1/3, 0
Factor -14324/5*j - 8/5*j**2 - 1432.
-4*(j + 1790)*(2*j + 1)/5
Let c = 3 - 6. Let x be 85/34 + c/(-2). Factor -45*h - h**2 + 41*h + 0*h**2 - x.
-(h + 2)**2
Let x(j) be the second derivative of -j**7/49 - 19*j**6/10 + 309*j**5/70 + 34*j**4/7 + 74*j + 11. Find o, given that x(o) = 0.
-68, -1/2, 0, 2
Let o(f) be the third derivative of -f**6/240 + 11*f**5/60 - 121*f**4/48 + 2*f**2 - 1016*f. Determine d so that o(d) = 0.
0, 11
Let g be 295974/7290 - (0 - -40). Suppose 198/5*b + 3267/5 + g*b**2 = 0. What is b?
-33
Suppose 3*u = -3*y - 170 + 71, 5*y - 175 = 5*u. Let r be 4/18 + u/153. Factor -3/2*s**4 + 0*s + 3/2*s**2 + r - 3/2*s**3 + 3/2*s**5.
3*s**2*(s - 1)**2*(s + 1)/2
Let f(x) be the second derivative of -57*x + 0 + 3/40*x**5 - 6*x**2 - 3/4*x**4 + 3*x**3. Determine v so that f(v) = 0.
2
Factor -344/3 - 520/9*g - 2/9*g**2.
-2*(g + 2)*(g + 258)/9
Let n(z) be the second derivative of z**4/30 + 1346*z**3/15 + 452929*z**2/5 +