q**2. Let n(a) be the second derivative of g(a). Factor n(z).
(z - 4)*(z - 2)/3
Let w(k) be the first derivative of k**3/2 + 11*k**2/3 - 5*k/6 + 5342. Find t, given that w(t) = 0.
-5, 1/9
Suppose 3159 = -48*g + 75*g. Suppose -u + g - 114 = 0. Factor 7/2*s + 9/8*s**u - 15/4*s**2 - 1.
(s - 2)*(3*s - 2)**2/8
Suppose 127/7*n**3 + 23/7*n**4 + 1/7*n**5 + 253/7*n**2 + 64/7 + 212/7*n = 0. What is n?
-16, -4, -1
Let j(u) be the third derivative of -9*u**7/140 + 5*u**6/16 + 13*u**5/60 - u**4/2 + 8*u**2 + 54*u - 1. What is k in j(k) = 0?
-2/3, 0, 4/9, 3
Let c(w) = -8*w**3 + 123*w**2 + 5*w. Let s(u) = -22*u + 20*u**3 - 308*u**2 + 13*u - 3*u. Let p(a) = 12*c(a) + 5*s(a). Factor p(n).
4*n**2*(n - 16)
Let w(b) be the second derivative of b**4/102 + 25*b**3/17 + 350*b**2/17 + 65*b + 13. Suppose w(q) = 0. Calculate q.
-70, -5
Find k, given that -1/3*k**4 + 14/3 + 7/3*k**3 + k**2 - 23/3*k = 0.
-2, 1, 7
Let o(t) = 12*t**3 + 6*t**2 - 15*t + 30. Suppose 39*d - 41*d + 30 = 0. Let h(w) = w**3 - w**2 - w + 2. Let x(m) = d*h(m) - o(m). Factor x(p).
3*p**2*(p - 7)
Let b = -545 - -580. What is n in -25*n**3 + 53*n**5 + b*n**4 + 63*n**5 - 246*n**5 + 56*n**5 + 59*n**5 + 5*n**2 = 0?
0, 1/3, 1
Suppose -3*k + 4*p - 18 = -0*k, -3*k - 18 = -5*p. Let z be 27/5 + k/15. Factor -27*b + z*b**2 - 2*b**2 - 24*b + 45*b.
3*b*(b - 2)
Let f(h) be the first derivative of -7*h**6/60 - h**5/6 + h**4/6 + 10*h**2 + 23. Let z(m) be the second derivative of f(m). Factor z(l).
-2*l*(l + 1)*(7*l - 2)
Let g be 12/8 + -2 - 8*5/(-60). Let f(n) be the second derivative of -g*n**3 + 7*n - 3*n**2 + 0 + 1/12*n**4. Suppose f(t) = 0. What is t?
-2, 3
Suppose 0 = 3*q + 4*p - 100, 5*q - 9*p + 10*p - 161 = 0. Factor -q + 2*r**2 + 1756*r - 2*r**3 + 1787*r - 3511*r.
-2*(r - 4)*(r - 1)*(r + 4)
Let h = -30601 - -214345/7. Let 36/7*s**4 - 16*s**2 - 36/7 + 10/7*s**5 - 36/7*s**3 + h*s = 0. What is s?
-3, 2/5, 1
Let p(f) be the third derivative of -f**5/120 - 163*f**4/12 - 325*f**3/3 - 601*f**2 + f + 1. Factor p(z).
-(z + 2)*(z + 650)/2
Let h = -152 - -156. Factor -9*a + 72 - 12*a - 2*a - 5*a - h*a**2.
-4*(a - 2)*(a + 9)
Let s(t) = 10*t**2 - 5*t - 4. Let u be s(-1). Let o(v) be the second derivative of -3/4*v**3 - u*v + 1/8*v**4 + 3/2*v**2 + 0. Factor o(d).
3*(d - 2)*(d - 1)/2
Find z, given that 1/2*z**2 - 43*z - 651/2 = 0.
-7, 93
Let p(r) be the third derivative of r**6/240 + 71*r**5/24 + 10561*r**4/16 + 10443*r**3/4 - 263*r**2 + 2. Let p(b) = 0. What is b?
-177, -1
Let z be 4/(-8 + 12/3 - (16 - 22)). Factor -4/3*g + 0 + 2/3*g**3 + 2/3*g**z.
2*g*(g - 1)*(g + 2)/3
Let d = 678448/7 - 96920. Factor 0 - 2/7*g**4 - d*g**3 + 0*g - 6/7*g**2.
-2*g**2*(g + 1)*(g + 3)/7
Solve 3/5*x**2 - 5319/5 - 1764/5*x = 0 for x.
-3, 591
Let n(q) be the first derivative of -7*q**3/3 + 7*q**2/2 + 6*q - 176. Let c(l) = 3*l**2 + 2*l + 1. Let v(t) = 4*c(t) + n(t). Suppose v(w) = 0. What is w?
-2, -1
Let c = 998 + -917. Suppose 2*g - 28 = -5*t, 84*t + 4 = 4*g + c*t. Determine z so that z**3 + 4/3*z**g - 4/3*z - 4/3*z**2 + 1/3*z**5 + 0 = 0.
-2, -1, 0, 1
Let i(g) be the second derivative of g**4/18 - 71*g**3 + 638*g**2/3 + 25*g + 81. Factor i(t).
2*(t - 638)*(t - 1)/3
Suppose -5*t + j = -16, 45*t + 2*j = 48*t - 11. Let s(p) be the first derivative of 11 - 11/12*p**4 - 1/3*p**2 + 0*p - 13/9*p**t. Let s(r) = 0. Calculate r.
-1, -2/11, 0
Let c be 1 + -17 + ((-240100)/(-210))/70. Factor -13/9*y**2 - 7/9*y**4 + 0 - 17/9*y**3 - c*y.
-y*(y + 1)**2*(7*y + 3)/9
Suppose -3*y = -5*y + 12. Factor 44*k**2 + 24*k**3 + y*k**4 - 3*k**4 + 16*k**3 - 7*k**4.
-4*k**2*(k - 11)*(k + 1)
Let o(h) = h**3 - 18*h**2 - 1. Let w(p) = -3*p**3 + 637*p**2 - 89999*p - 90599. Let c(s) = -2*o(s) - w(s). Find a such that c(a) = 0.
-1, 301
Factor -207 - 922 + 524880*f**4 + 52415*f**3 + 243000*f**2 + 1934 - 635615*f**3 + 2320 - 45000*f.
5*(18*f - 5)**4
Let i(c) = 15*c**3 + 3285*c**2 + 89360*c + 474320. Let l(u) = 2*u**3 + 469*u**2 + 12766*u + 67760. Let d(j) = 3*i(j) - 20*l(j). Solve d(v) = 0.
-44, -7
Let j(w) = 69*w**2 + 1325*w - 85. Let o(h) = -208*h**2 - 3988*h + 252. Let f(g) = 8*j(g) + 3*o(g). Factor f(m).
-4*(m + 19)*(18*m - 1)
Let f(n) be the first derivative of 7*n**4/4 + 29*n**3/3 - n**2 - 24*n + 949. Suppose f(y) = 0. What is y?
-4, -1, 6/7
Let h(v) be the second derivative of -5*v**4/12 - 925*v**3/3 - 1845*v**2/2 + 2397*v. Determine o so that h(o) = 0.
-369, -1
Let s(y) be the first derivative of y**4/2 + 6*y**3 - 66*y**2 + 112*y - 3368. Factor s(c).
2*(c - 4)*(c - 1)*(c + 14)
Let t(y) = -6*y - 226. Let s be t(-38). Let d = 73 - 801/11. Suppose -d*x**3 + 0*x + 2/11*x**s + 0 = 0. Calculate x.
0, 1
Factor 2/5*m**2 + 316808/5 - 1592/5*m.
2*(m - 398)**2/5
Let m = -273 - -278. Factor -10*l - 10*l**3 - 12*l**4 + 10 - 11*l + 2*l**4 + 40*l**2 - 10*l + m*l**5 - 4*l.
5*(l - 1)**4*(l + 2)
Let l = -1412 - -354. Let v = l + 1060. Factor 0 - 6/7*j**v - 4/7*j.
-2*j*(3*j + 2)/7
Find q, given that 46/5*q**3 + 0 - 2/5*q**4 + 0*q - 224/5*q**2 = 0.
0, 7, 16
Suppose 432/7 - 36*k + 24/7*k**2 + 4/7*k**3 = 0. Calculate k.
-12, 3
Solve -3/5*k**5 - 126/5 + 18*k**2 - 24*k**3 + 123/5*k + 36/5*k**4 = 0.
-1, 1, 2, 3, 7
Let r(j) = 25*j**2 + 87805*j + 14258440. Let t(c) = -c**2 - 3252*c - 528091. Let o(k) = 2*r(k) + 55*t(k). Solve o(s) = 0.
-325
Let v be 86/15 + (-4)/10. Let m be 36/(-28) + 1 + (-9024)/(-3948). Factor 1/3*x**m + v - 8/3*x.
(x - 4)**2/3
Let u(p) be the first derivative of 2/11*p**3 + 28/11*p - 98 - 13/11*p**2. Let u(b) = 0. What is b?
2, 7/3
Let y = 726 + -725. Let z be 1 - (-3 + 3) - -5. Let p(a) = 4*a**2 - 16*a + 6. Let s(b) = -b**2 + 2*b - 1. Let f(u) = y*p(u) + z*s(u). Factor f(r).
-2*r*(r + 2)
Let g(d) = d**3 + 7*d**2 - 4*d + 2. Let p be g(-4). Let i(a) be the first derivative of -23 - 15*a**2 - a**2 + 4*a**2 + p*a + a**3 - 18*a. Factor i(k).
3*(k - 4)**2
Factor 1145/3*q + 5/3*q**2 - 770.
5*(q - 2)*(q + 231)/3
Let l = 16222 + -16220. Let h(j) be the first derivative of -40/3*j**3 + 5*j**4 + 45*j - 15/2*j**l - 6. What is b in h(b) = 0?
-1, 3/2
Factor 4402*k**4 - 4406*k**4 + 152*k**3 + 20 - 20 - 544*k**2.
-4*k**2*(k - 34)*(k - 4)
Let h = -529 + 558. Factor -2*x**2 - 463 - 52*x - 16 - 8*x + h.
-2*(x + 15)**2
Let s(n) be the second derivative of n**4/6 - 24*n**3 + 71*n**2 + 1760*n. Factor s(l).
2*(l - 71)*(l - 1)
Let y(s) = 31*s + 11. Let r be y(-4). Let b = r - -115. Let 3*d**4 - 2*d - d**5 + 5*d - d - 35*d**b - d**3 + 32*d**2 = 0. What is d?
-1, 0, 1, 2
Let k(x) = -x**2 + 12*x - 24. Let c be k(9). Factor -33*z**c - 8*z**2 + 2*z + 72*z**3 - 33*z**3.
2*z*(z - 1)*(3*z - 1)
Let t(b) = -b**2 - 6*b - 8. Let q(f) = 5*f - 5. Let p(o) = 8*o - 9. Let r(k) = -3*p(k) + 5*q(k). Let j(v) = -2*r(v) - 2*t(v). Factor j(n).
2*(n + 2)*(n + 3)
Let r be 20/25 - -2*6/28*4/5. Let 0 + 12/7*v - r*v**3 - 2/7*v**4 - 2/7*v**2 = 0. Calculate v.
-3, -2, 0, 1
Suppose -27*s = -23*s - 28. Factor 200*l - 13*l**2 - s*l**2 - 37 - 15 + 5*l**2 - 13.
-5*(l - 13)*(3*l - 1)
Let m be (-16)/(-6)*(7 - 1)/1. Suppose -2*z = -m - 170. Factor 93 - z - 2*f**2 + 2*f.
-2*f*(f - 1)
Let y(m) be the second derivative of 46/3*m**4 - 33/5*m**5 + 2/3*m**6 - 2*m - 57 + 0*m**2 + 16*m**3. Factor y(l).
4*l*(l - 4)*(l - 3)*(5*l + 2)
Let p(z) be the second derivative of 0 + 1/36*z**4 - 1/6*z**3 + 27*z - 5/3*z**2. Suppose p(i) = 0. Calculate i.
-2, 5
Factor 3/2*s**3 + 25/2*s**2 + 59/4*s + 21/4 - 7/4*s**4 - 1/4*s**5.
-(s - 3)*(s + 1)**3*(s + 7)/4
Let x(h) be the third derivative of 1058/3*h**3 - h + 1/15*h**5 + 8*h**2 - 23/3*h**4 + 0. Solve x(p) = 0 for p.
23
Let p(r) be the third derivative of -13/36*r**5 + 0 + 1/18*r**6 + 0*r**3 - 27*r - 2*r**2 + 5/24*r**4. Factor p(t).
5*t*(t - 3)*(4*t - 1)/3
Factor -4/3*g**5 + 0 + 0*g**4 + 4*g + 32/3*g**2 + 8*g**3.
-4*g*(g - 3)*(g + 1)**3/3
Let o be 2*(2/(-6))/((-32)/144). Find s such that 4*s + 12*s + 2590*s**o - 64 + 48*s**2 - 2586*s**3 - 4*s**4 = 0.
-2, 1, 4
Suppose -3*u - 2*m = -0*m - 17, 2*m = -4*u + 20. Let d be 147/490*8/u. Let d - 2/5*v - 4/5*v**2 + 2/5*v**3 = 0. Calculate v.
-1, 1, 2
Find g such that 1/4*g**5 + 40 - 29*g**2 + 53/2*g**3 - 22*g - 25/4*g**4 = 0.
-1, 2, 20
Let b = 3884 + -2528482/651. Let i = 647/1302 + b. Let 0 + 1/2*w**2 - i*w**4 + w - w**3 = 0. What is w?
-2, -1, 0, 1
Let h be 1/(21/(-4))*(-25)/(1050/49). Suppose -22/9*g**2 + 0 + 4/3*g + 4/3*g**3 - h*g**4 = 0. What is g?
0, 1, 2, 3
