- 131. Let n(z) be the third derivative of z**5/30 + 7*z**4/6 + 22*z**3 + 14*z**2. Let t(d) = -4*c(d) - 3*n(d). Factor t(o).
2*(o + 8)**2
Let g = -158 + 163. Let -17*a**2 - 16*a**3 + 8*a**4 + 2*a**g + 18*a**3 + 5*a**2 = 0. Calculate a.
-3, -2, 0, 1
Suppose -167*s + 163*s - 236 = 0. Let r = s + 59. Determine w, given that 0 - 1/5*w + 1/5*w**5 + r*w**3 + 2/5*w**2 - 2/5*w**4 = 0.
-1, 0, 1
Factor -8486*l**4 - 31553*l**3 + 3588*l**2 - 35047*l**3 - 8389*l**4 - 48*l.
-3*l*(l + 4)*(75*l - 2)**2
Let o(c) = -c**5 + c**4. Let f be (-6)/(-12)*(-18)/((-9)/(-3)). Let y(z) = -8*z**5 + 23*z**4 - 15*z**3. Let w(m) = f*o(m) + y(m). Find x, given that w(x) = 0.
0, 1, 3
Let m(l) be the first derivative of -40/7*l**2 + 800/7*l + 152 + 2/21*l**3. Factor m(w).
2*(w - 20)**2/7
Factor 9*a**3 + 343*a + 11*a**3 + 567*a - 1191*a**2 - 1208 + 1513 - 44*a**2.
5*(a - 61)*(a - 1)*(4*a + 1)
Let a(q) = -q**2 - 313*q + 35780. Let f be a(-402). Suppose 46/7 - 2/7*p**f - 44/7*p = 0. What is p?
-23, 1
Let n = -20/39 + 31/52. Let g(m) be the second derivative of 0*m**2 + 5*m + 1/12*m**4 + 0 - n*m**3 - 1/40*m**5. Factor g(v).
-v*(v - 1)**2/2
Suppose 288 = 14*h - 5*h. Suppose 28*i = h*i - 3676. Find j such that 2*j**2 + 2*j**3 + i - 919 = 0.
-1, 0
Let z be (4054/5)/(6/(-10)). Let g = -1346 - z. Factor -g*b**3 - 8/3*b**2 + 13*b - 6.
-(b + 2)*(4*b - 3)**2/3
Factor -5*s**4 + 86 - 86 - 3*s**3 + 540*s - 25*s**3 + 3*s**3 + 240*s**2.
-5*s*(s - 6)*(s + 2)*(s + 9)
Let d be (-17 + 416/24)*0. Let q(x) be the third derivative of 0 - 3*x**2 - 1/30*x**5 + 4*x + 1/30*x**4 + d*x**3 + 1/150*x**6. Factor q(g).
2*g*(g - 2)*(2*g - 1)/5
Factor 324*l - 38*l**3 - 39*l**3 + 81*l**3 + 39*l**2 + 33*l**2.
4*l*(l + 9)**2
Let x(c) be the second derivative of 4 + 19/170*c**5 + 0*c**3 + 1/357*c**7 - 11/255*c**6 - 3/34*c**4 + 0*c**2 + 8*c. Factor x(y).
2*y**2*(y - 9)*(y - 1)**2/17
Let l(g) be the first derivative of -g**6/1260 - 9*g**5/140 - 13*g**4/42 + 55*g**3/3 - 94. Let f(o) be the third derivative of l(o). Factor f(h).
-2*(h + 1)*(h + 26)/7
Let g = 6355/14 - 12647/28. Suppose -3/2*t**3 + g*t**5 - 25/4*t**4 + 0 + 9*t**2 + 2*t = 0. What is t?
-1, -2/9, 0, 2
Let b(o) = -o**3 - 3*o**2 + 20*o + 20. Let q be b(-6). Suppose -q*r - 54 = -26*r. Factor 16/11*u - 18/11*u**r + 6/11*u**2 - 8/11.
-2*(u + 1)*(3*u - 2)**2/11
Let s(z) be the third derivative of 8*z**7/21 + 547*z**6/30 + 2023*z**5/15 + 241*z**4/3 - 368*z**3 + 3*z**2 - 327. Determine o so that s(o) = 0.
-23, -4, -3/4, 2/5
Let k(h) be the second derivative of -3*h**5/20 + 17*h**4/4 + 29*h**3 + 60*h**2 - 22*h. Factor k(f).
-3*(f - 20)*(f + 1)*(f + 2)
Let c = 149833/2 + -74915. Factor 6 + 9/2*h - 9/2*h**3 - 15/2*h**2 + c*h**4.
3*(h - 4)*(h - 1)*(h + 1)**2/2
Find u, given that 4*u**2 - 60819 - 228*u - 60941 + 121528 = 0.
-1, 58
Let k(g) be the second derivative of 0 - 1/40*g**5 + 0*g**4 + 0*g**2 - 1/84*g**7 + 0*g**3 - 1/30*g**6 + 67*g. Factor k(t).
-t**3*(t + 1)**2/2
Let x(i) be the first derivative of -2*i**3/3 + 77*i**2 - 2652*i - 4770. Factor x(n).
-2*(n - 51)*(n - 26)
Let f be ((-5 - -1) + 40/10)/3. Suppose -4*i + 4 = -3*h - 1, h - 5 = f. Find m, given that -147*m - i*m**2 + 27 + 27*m - 747 = 0.
-12
Let n be (23*-1)/(65/1235). Let o = n + 440. Factor -33/7*u**2 + 36/7*u - 12/7 + 9/7*u**o.
3*(u - 2)*(u - 1)*(3*u - 2)/7
Let k(q) be the second derivative of -98*q**6/15 - 126*q**5/5 - 109*q**4/3 - 24*q**3 - 8*q**2 - 401*q. Factor k(x).
-4*(x + 1)**2*(7*x + 2)**2
Let d(c) be the first derivative of 139 - c**2 + 1/10*c**5 + 5/8*c**4 + c**3 - 4*c. Factor d(u).
(u - 1)*(u + 2)**3/2
Let w(n) = n**3 - 5*n**2 + 12*n + 2. Let v be w(6). Find b such that 1291*b + 236*b**2 - 1391*b + 14*b**3 + v*b**2 = 0.
-25, 0, 2/7
Let k(u) be the third derivative of u**5/90 + 89*u**4/6 + 1064*u**3/9 + 6*u**2. Factor k(j).
2*(j + 2)*(j + 532)/3
Solve 1/2*t**5 + 29/2*t**4 - 3/2*t**3 + 0 + 29*t - 85/2*t**2 = 0 for t.
-29, -2, 0, 1
Let u be ((-38)/114)/(((-1)/(-1))/5277). Let p = -1756 - u. Factor 0 - 3/5*t**5 + 0*t + 0*t**2 - 18/5*t**p - 3*t**4.
-3*t**3*(t + 2)*(t + 3)/5
Let g(a) = 9*a + 117. Let b be g(-12). Suppose -b*m + 10*m = 0. Let 8/5 + m*y**2 + 4/5*y**3 - 12/5*y = 0. What is y?
-2, 1
Let s be -45 + 41 - (-5192)/1071. Let i = s - 46/63. Suppose 8/17*h**3 + 0 - i*h**4 + 0*h - 6/17*h**2 = 0. What is h?
0, 1, 3
Find z, given that -21*z**5 + 24*z**4 + 26496*z - 42*z**2 + 16 + 0*z**4 - 26511*z + 36*z**3 + 2 = 0.
-1, -6/7, 1
Let v = 5870/3 - 1946. Suppose 2*s - 4*n - 16 = 0, 2*s + 0*n + 5*n + 11 = 0. Solve 20/3*c**s + 4/3*c**3 + v*c + 16/3 = 0.
-2, -1
Suppose 81*t = 64*t + 119. Let f(s) be the first derivative of 0*s + 0*s**3 + 1/2*s**4 - 1/9*s**2 - t. Let f(r) = 0. What is r?
-1/3, 0, 1/3
Let r(z) be the first derivative of -z**6/780 + 11*z**5/390 - z**2 + 27*z + 12. Let a(u) be the second derivative of r(u). Suppose a(s) = 0. What is s?
0, 11
Let m(p) be the third derivative of p**7/40 - 43*p**6/480 + 7*p**5/80 + p**4/32 - p**3/12 - 88*p**2 + 5*p - 1. Determine o so that m(o) = 0.
-2/7, 1/3, 1
Let q(t) be the first derivative of 0*t - 3/2*t**2 + 1/2*t**5 + 85 + 5/8*t**4 - 5/6*t**3 + 1/12*t**6. Solve q(v) = 0.
-3, -2, -1, 0, 1
Determine z, given that -80*z + 550/9 + 0*z**3 - 2/9*z**4 + 172/9*z**2 = 0.
-11, 1, 5
Suppose -3*j + l = -65, l = 4*j + 2*l - 75. Let b be 3 + ((-3)/(-15) - 4/j). Let 20 - 45*s + s**b - 6*s**3 + 30*s**2 + 0 = 0. Calculate s.
1, 4
Let z(i) be the third derivative of -1/8*i**6 + 0*i**3 - 1/2*i**5 - 5/6*i**4 + 3*i**2 - 1/84*i**7 + 0 + 7*i. Factor z(u).
-5*u*(u + 2)**3/2
Let z(b) be the second derivative of b**4/9 + 50*b**3/9 + 200*b**2/3 + 228*b. Factor z(j).
4*(j + 5)*(j + 20)/3
Let k(y) be the first derivative of -y**4/46 + 4*y**3/23 + 72*y**2/23 - 3082. Determine s so that k(s) = 0.
-6, 0, 12
Let i(v) = 25*v**2 + 31*v. Let r(c) be the second derivative of -37*c**4/6 - 46*c**3/3 - c**2 - c + 8. Let j(s) = -8*i(s) - 3*r(s). Let j(f) = 0. What is f?
-1, -3/11
Let k(q) be the second derivative of 2197*q**7/70 + 255359*q**6/50 + 22348677*q**5/100 + 1710073*q**4/20 + 65656*q**3/5 + 5046*q**2/5 + 650*q. Factor k(z).
3*(z + 58)**2*(13*z + 1)**3/5
Let z(h) be the third derivative of 1/240*h**5 - 1/120*h**6 + 1/24*h**4 - 122*h**2 + 0*h**3 + 0 - 1/840*h**7 + 0*h. Factor z(o).
-o*(o - 1)*(o + 1)*(o + 4)/4
Let l(c) be the third derivative of c**5/540 - c**4/108 - 161*c**3/18 - 299*c**2 + c - 2. Factor l(n).
(n - 23)*(n + 21)/9
Let o(b) be the third derivative of b**7/420 - 13*b**6/240 - b**5/40 + 37*b**4/48 + 13*b**3/6 - 657*b**2. Determine c, given that o(c) = 0.
-1, 2, 13
Suppose -c + 11*k + 207 - 27 = 0, -100 = -5*c + 5*k. Factor -2/5*g**2 - c + 14/5*g.
-2*(g - 5)*(g - 2)/5
Factor 0 + 106/3*b + 161/9*b**2 + 1/9*b**3.
b*(b + 2)*(b + 159)/9
Let z(i) = -i**3 - 7*i**2 - 16*i - 27. Let j = -627 - -622. Let y be z(j). Factor 16/3 - 8/3*q - 4/3*q**2 + 2/3*q**y.
2*(q - 2)**2*(q + 2)/3
Let y(t) be the second derivative of -t**6/240 + 7*t**5/120 - t**4/3 + t**3 - 65*t**2/2 - 99*t. Let b(r) be the first derivative of y(r). Factor b(q).
-(q - 3)*(q - 2)**2/2
Let w(j) be the second derivative of -j**4/96 + 203*j**3/48 + 309*j**2/8 + 1754*j. Factor w(t).
-(t - 206)*(t + 3)/8
Let o(j) = 9*j**2 + 11 - j**3 - j + 13 + 9*j. Let p be o(10). Factor -d**2 - 3 - p + 10 - 2*d**2.
-3*(d - 1)*(d + 1)
Let h(a) = -10 + 2 + 23*a**2 + 16*a - 14*a - 9*a**2 - 2*a**3. Let b(g) = -2*g**3 + 14*g**2 + 2*g - 10. Let k(o) = 3*b(o) - 2*h(o). Find x such that k(x) = 0.
-1, 1, 7
Suppose h - 5*r = 9, h + 1864*r - 3 = 1863*r. Let q(o) be the third derivative of 22/3*o**3 + 16/3*o**h + 0*o + 0 - 1/5*o**5 + 9*o**2. Factor q(m).
-4*(m - 11)*(3*m + 1)
Let h(k) = 72*k**2 + 174*k + 1401. Let v(s) = 191*s**2 + 524*s + 4205. Let o(m) = -8*h(m) + 3*v(m). Factor o(r).
-3*(r - 67)*(r + 7)
Let z(t) be the second derivative of -t**7/189 + 44*t**6/135 - 73*t**5/15 - 506*t**4/27 - 529*t**3/27 + 101*t - 6. Factor z(g).
-2*g*(g - 23)**2*(g + 1)**2/9
Let s be 18/3*57/9. Let q = s + -32. Factor q*y**2 - 7 - 25*y - 10*y**2 - 6*y**2 + 20*y**3 - 3 + 20*y**4 + 5*y**5.
5*(y - 1)*(y + 1)**3*(y + 2)
Suppose 0 = 111*g - 2719 + 499. Let t(s) be the first derivative of -15 + 15/2*s**2 + g*s - 5/3*s**3. Factor t(h).
-5*(h - 4)*(h + 1)
Let q = -361825 - -361828. Find n, given that -5 - 33/2*n**q - 7/2*n**4 + 17/2*n**2 + 33/2*n = 0.
-5, -1, 2/7, 