- 2*f**4 + 0 + 3/2*f**v = 0.
-1, 0, 1, 2
Let v(o) be the third derivative of 1/210*o**5 - 49*o**2 + 0*o**3 - 4/21*o**4 + 0*o + 0. Let v(y) = 0. Calculate y.
0, 16
Let s = -233 - -362. Suppose 0 = -2*h + 2*u - s + 491, -u + 899 = 5*h. Determine n so that -n**3 + h*n**2 - 3*n**3 - 8*n - 168*n**2 = 0.
0, 1, 2
Factor 910/11*m + 0 - 2/11*m**2.
-2*m*(m - 455)/11
Factor -119*d**3 + 159*d**2 + 36*d**3 - 76 - 271*d + 7*d + 42*d**3 + 37*d**3.
-(d - 38)*(d - 2)*(4*d + 1)
Let k be ((-132)/11 - -10) + 40/(-168)*-12. Factor 0 - 2/7*y**4 + k*y**2 + 4/7*y + 0*y**3.
-2*y*(y - 2)*(y + 1)**2/7
Let k = -133 - -39. Let j = k + 167. Factor -14*f**2 - 13*f - 10*f**2 - 4*f**4 + j*f**3 - 2 - 90*f**3.
-(f + 1)**2*(f + 2)*(4*f + 1)
Suppose 101*t + 45 = 104*t. Suppose 0 = -4*z + 2*y + 16, 5*y + t + 3 = -z. Determine m so that 28/3*m**z + 16/3 - 10*m**3 + 56/3*m = 0.
-2/3, -2/5, 2
Suppose -5*p + 398 = -347. What is m in 15*m**5 + 30*m - 115*m**4 - 136*m**2 - 25*m + 295*m**3 + 85*m - p*m**2 = 0?
0, 2/3, 1, 3
Let n = 51 - 1. Factor -5*c**2 - 94 - n*c - 116 + 165.
-5*(c + 1)*(c + 9)
Let p(m) be the first derivative of m**3/2 + 867*m**2/4 + 432*m + 6816. Let p(x) = 0. What is x?
-288, -1
Suppose 0 = -22*j + 17*j + 3*q + 1, 25 = 5*j + 5*q. Factor -1889*n**j + 11*n + 13*n + 1890*n**2.
n*(n + 24)
Let h be 10/(-5) - (-136)/28 - 48/(-42). Factor -3/4*p**h - 4*p**3 + 0 + 3*p**2 + 0*p.
-p**2*(p + 6)*(3*p - 2)/4
Let v be (((-1)/12)/(765/(-68)))/(2/3). Let s(j) be the third derivative of 0*j - 12*j**2 + v*j**5 + 0 + 1/18*j**4 + 1/9*j**3. Suppose s(d) = 0. What is d?
-1
Let j be (-5)/10*(-13)/(91/70). Factor 6*w**j - 437*w**2 + 36*w**4 - 2*w**5 - 16*w**3 + 293*w**2.
4*w**2*(w - 2)*(w + 2)*(w + 9)
Let v(s) be the third derivative of s**6/100 + 9*s**5/100 - s**4/8 + 224*s**2 + 2*s. Factor v(m).
3*m*(m + 5)*(2*m - 1)/5
Let w be (-870)/261*3/(-90). Let n(g) be the third derivative of -13*g**2 - w*g**4 + 4/3*g**3 + 1/270*g**5 + 0 + 0*g. Solve n(v) = 0 for v.
6
Let u = 16/9 - -5/9. Let s = 206092 - 206088. Factor 0 + 4/3*r + u*r**s + 5/3*r**3 - 16/3*r**2.
r*(r - 1)*(r + 2)*(7*r - 2)/3
Let r = -11427/11 - -1039. Suppose 2*c = -a + 8, -61*a = 5*c - 64*a + 2. Factor c*f + 12/11 + r*f**3 + 12/11*f**2.
2*(f + 1)*(f + 2)*(f + 3)/11
Let q = -110567 - -1437373/13. Find h, given that 14/13*h - 6/13 - 10/13*h**2 + q*h**3 = 0.
1, 3
Let a(h) be the third derivative of 7/100*h**5 + 0 - 51/40*h**4 - 26*h**2 + 7/5*h**3 + 0*h. Determine n so that a(n) = 0.
2/7, 7
Let u(j) be the third derivative of j**7/315 - j**6/20 - j**5/90 + j**4/4 + 33*j**2 - 2*j. Factor u(s).
2*s*(s - 9)*(s - 1)*(s + 1)/3
Let x be 456/(-855)*805/(-46). What is t in 4/3*t**3 + 0 + 8*t + x*t**2 = 0?
-6, -1, 0
Let t(g) = -25*g**4 - g**3 + 14*g**2 - 9*g - 9. Let x(s) = 29*s**4 + s**3 - 15*s**2 + 11*s + 10. Let k(i) = -6*t(i) - 5*x(i). Factor k(l).
(l - 1)*(l + 1)**2*(5*l - 4)
Let o be (43320/(-160))/(198/(-171) + 1). Suppose 1083/4*k + 57/4*k**2 + o + 1/4*k**3 = 0. What is k?
-19
Let i(n) be the second derivative of 0*n**2 + 0 + 0*n**3 - 1/2*n**4 - 33/4*n**5 - 24*n. Solve i(y) = 0.
-2/55, 0
Let r(k) = k**3 - 3*k**2 - 8*k - 10. Suppose q - 21 = -4*v + 1, -3*q + 26 = 4*v. Let u be r(v). Factor 1/5*b**4 + 1/5*b**3 - 2/5*b**2 + 0*b + u.
b**2*(b - 1)*(b + 2)/5
Factor 6 + 15981*q**2 - 2 + 148*q - 2 - 76*q**3 - 16061*q**2 + 6.
-4*(q - 1)*(q + 2)*(19*q + 1)
Let d(m) be the third derivative of 0 + 0*m**3 + 0*m - 23/270*m**5 - 72*m**2 + 5/36*m**4 + 1/135*m**6. Factor d(a).
2*a*(a - 5)*(4*a - 3)/9
Let p = -112 + 115. Let l be (-2 - (2 - 7)) + 1 + 7. Factor -l*b**2 + 4*b + 3*b + 14*b**3 - 27*b**p + 18*b**3 - 1.
(b - 1)**2*(5*b - 1)
Let q be 6/243*-6*(-1260)/1680. Let t(d) be the first derivative of -2/9*d**6 - 11/15*d**5 - q*d**3 + 0*d - 9 - 3/4*d**4 + 1/6*d**2. Let t(l) = 0. Calculate l.
-1, 0, 1/4
Let n be (12/(-14))/(3/(-14)). Let m(s) = 2*s**2 - 6*s - 5. Let a be m(n). Factor -y + 4*y**a + 38*y - 110 + 27*y + 158 + 28*y**2.
4*(y + 2)**2*(y + 3)
Factor 2/9*s**2 - 10/9*s - 4/3.
2*(s - 6)*(s + 1)/9
Suppose 5*r + 2090 = 4*l - 8834, l + 10919 = -5*r. Let p = 3215 + r. Factor -64 + p*z - 24*z**2 + 2*z**4 + 5*z**3 - z**3 - 1111*z.
2*(z - 4)*(z + 2)**3
Let v = 15260 - 15236. Let f(t) be the second derivative of -8/3*t**3 - t**4 + 0 - v*t + 0*t**5 + 1/15*t**6 - 3*t**2. Factor f(j).
2*(j - 3)*(j + 1)**3
Let j be 30/((-12)/(-4)) + 0. Suppose -4*k = -0*k - 4*s - 800, -s = k - 194. Solve -j - k*l - 2*l**3 - 24*l**2 - 2*l**3 + 169*l + 2*l**4 = 0.
-1, 5
Let h(c) be the second derivative of -14792*c**2 - 75*c - 1/3*c**4 + 344/3*c**3 + 0. Solve h(w) = 0.
86
Let w(z) be the second derivative of 4*z + 12*z**3 + 1/5*z**5 - 3 + 3*z**4 + 0*z**2. Find f, given that w(f) = 0.
-6, -3, 0
Let o = 622 - 618. Suppose -k - 22 + 41 = 3*f, 4*f = o*k + 4. Solve 2*b**2 - b - 1/5*b**f + b**4 + 1/5 - 2*b**3 = 0.
1
Let m(b) be the third derivative of -b**6/600 - 83*b**5/100 - 79*b**2 - 2*b + 1. Factor m(x).
-x**2*(x + 249)/5
Let h be (-8)/(-26)*(18/(-45) - 159/(-360)). Let l(g) be the second derivative of h*g**4 - 2*g - 1/13*g**2 + 0*g**3 + 0. Factor l(n).
2*(n - 1)*(n + 1)/13
Let u(l) be the second derivative of -3*l + 3/100*l**5 + 0*l**2 + 2 + 2/25*l**6 + 0*l**3 + 0*l**4. Find w, given that u(w) = 0.
-1/4, 0
Let l = 248 - 106. Suppose 4*f + 4*z - 153 = -25, -z - l = -5*f. Factor 73*q - 15*q**2 - 20 + 21*q - f*q.
-5*(q - 4)*(3*q - 1)
Solve -118 - 178*s - 3/2*s**2 = 0 for s.
-118, -2/3
Suppose -6*k + k = 433 - 448. Factor -k + 3/4*f**2 + 9/4*f.
3*(f - 1)*(f + 4)/4
Let -1/2*t**2 - 39200 + 280*t = 0. Calculate t.
280
Let r(p) be the third derivative of p**7/6300 - 7*p**6/450 - 73*p**4/24 - p**3/3 - 2*p**2 + 5. Let j(i) be the second derivative of r(i). Factor j(k).
2*k*(k - 28)/5
Let o be (2/(-3))/((-6)/18). Suppose 150*l - 147*l = 6. Factor 8*d**l - d**o + d**3 - 3*d**2 - 7*d**2.
d**2*(d - 3)
Let v(l) be the second derivative of 2*l**7/7 + 19*l**6/15 + l**5 - 13*l**4/6 - 10*l**3/3 - 1229*l. Suppose v(w) = 0. What is w?
-2, -1, 0, 5/6
Let c be (45/(-6))/((-21)/532). Suppose 3800*o + 1605*o**2 + 113 + o**4 + 4*o**4 - c*o**3 + 1887 = 0. Calculate o.
-1, 20
Let k(h) be the third derivative of 0*h - 97 + h**2 + 35/2*h**4 + 1/12*h**5 + 1470*h**3. Factor k(f).
5*(f + 42)**2
Let z = -4/53283 - -213152/266415. Factor 121/5*o**3 + 0 + z*o + 44/5*o**2.
o*(11*o + 2)**2/5
Let w(j) be the third derivative of -j**7/560 - j**6/120 + j**5/16 + 3*j**4/8 + 23*j**3/6 + 24*j**2 + 1. Let p(y) be the first derivative of w(y). Factor p(f).
-3*(f - 2)*(f + 1)*(f + 3)/2
Let f(b) be the first derivative of b**5/15 + 5*b**4/3 - 16*b**3 - 279*b**2/2 - 226. Let g(q) be the second derivative of f(q). Factor g(l).
4*(l - 2)*(l + 12)
Let x(h) be the second derivative of h**4/24 - 17*h**3/6 + 16*h**2 - h + 86. Suppose x(b) = 0. Calculate b.
2, 32
Let x = -155 + 155. Let b be (-4)/((0 + (x - -1))*-1). Factor -3/7*h**b + 0*h + 0 - 15/7*h**3 + 3/7*h**5 - 9/7*h**2.
3*h**2*(h - 3)*(h + 1)**2/7
Let l = 12531 - 87691/7. Factor -2/7*y**5 - 2*y**4 - 44/7*y**2 - l*y - 36/7*y**3 - 6/7.
-2*(y + 1)**4*(y + 3)/7
Let y(o) be the first derivative of -o**6/180 - o**5/30 + 4*o**3/9 + 69*o**2/2 - 45. Let x(t) be the second derivative of y(t). What is l in x(l) = 0?
-2, 1
Suppose -206*l**2 - 4*l**4 - 72*l**2 - 8*l**3 + 274*l**2 = 0. Calculate l.
-1, 0
Let t(z) = z**2 + 9*z - 65. Let h be t(5). Let 10*u**3 - 10*u**5 - 4*u**4 + h*u**4 + 7*u**4 + 0*u**3 + 8*u**5 = 0. Calculate u.
-1, 0, 5
Let h(m) be the third derivative of -5*m**2 + 1/270*m**5 + 0*m**3 + 2*m - 19/108*m**4 + 0. Determine c so that h(c) = 0.
0, 19
Suppose 63*r = 78*r - 135. Suppose -9 = r*v - 27. Factor 4*l - 1/2*l**v - 8.
-(l - 4)**2/2
Let l(i) be the first derivative of i**6/4 - 36*i**5/5 + 423*i**4/8 + 35*i**3 - 288*i**2 - 432*i + 1112. Suppose l(a) = 0. Calculate a.
-1, 2, 12
Let -891*x**2 - 628*x**2 - x**5 + 1800*x - 262*x**3 + 54*x**4 - 71*x**2 - x**5 = 0. Calculate x.
-4, 0, 1, 15
Factor -338 + 162 - 274 - 405*f - 100*f**2 - 5*f**3.
-5*(f + 2)*(f + 3)*(f + 15)
Suppose 174 - 153 = 3*l. Suppose l*p = -3*p. Determine y, given that -3/5*y + p - 3/5*y**2 = 0.
-1, 0
Let n(z) = 3*z**2 + 106*z + 35. Let i(h) = 30*h + 145. Let x be i(-6). Let t be n(x). Factor 0 + 1/3*m**2 + t*m.
m**2/3
Let w(s) = -s**3 - 54*s**2 + 59*s - 5. Let g be w(-55). Let f be (-14)/(-126) - (7/g)