16. Let t be 130/18 - (-14)/b. Factor t + 1 - 4*p**2 - 7 - 2*p + 5*p**2.
(p - 1)**2
Let g(i) be the third derivative of i**8/10080 + i**7/210 + i**6/10 + 7*i**5/20 + 13*i**2. Let j(d) be the third derivative of g(d). Factor j(q).
2*(q + 6)**2
Factor -4*d**2 - d**2 - 152*d + 466*d + 141*d - 5*d**3 - 5*d**2 - 440.
-5*(d - 8)*(d - 1)*(d + 11)
Let k = -883/1313 - -99/101. Suppose -4/13*i**2 + k + 14/13*i**3 - 14/13*i = 0. Calculate i.
-1, 2/7, 1
Let j(y) be the first derivative of -4*y**5/5 - y**4 + 4*y**3/3 + 2*y**2 + 293. Suppose j(b) = 0. What is b?
-1, 0, 1
Let q be -7*(406/(-49) - -8)*1. Factor 3/2*z**5 + 3 + 6*z**3 + 3*z**q - 6*z**4 - 15/2*z.
3*(z - 2)*(z - 1)**3*(z + 1)/2
Suppose 2*j = -8*j + 240. Factor 4 + 6*g**5 + j*g**2 + 8*g**3 - 31*g**4 + 6*g**5 + 3*g**4 - 20*g.
4*(g - 1)**3*(g + 1)*(3*g - 1)
Let s be (5 - (-55)/(-7)) + (-1)/7. Let i be (-21)/35*(-1)/s*-4. Find r, given that -i*r**2 - 8/5 - 12/5*r = 0.
-2, -1
Let z(g) be the third derivative of 0*g - 1/4*g**4 + 0*g**3 - 1/30*g**5 + 14*g**2 + 0. Factor z(b).
-2*b*(b + 3)
Let a(h) = 4*h**5 + 20*h**4 + 43*h**3 + 36*h**2 + 9*h. Let p(z) = z**3 + z**2. Let s(w) = -a(w) + 6*p(w). Factor s(k).
-k*(k + 1)**2*(2*k + 3)**2
Let q(l) be the second derivative of l**9/37800 - l**8/33600 - l**7/3150 + l**6/1200 - 25*l**4/12 + 26*l. Let o(v) be the third derivative of q(v). Factor o(r).
r*(r - 1)**2*(2*r + 3)/5
Let k(c) = c**2 - 3*c - 4. Let z be k(-7). Factor 27*f - 11*f**2 - 8*f + z*f - 40 + f**2.
-5*(f - 8)*(2*f - 1)
Let i(y) be the third derivative of -y**7/7 + 13*y**6/24 + 4*y**5/3 - 5*y**4/8 + 16*y**2 - 3*y. Find k, given that i(k) = 0.
-1, 0, 1/6, 3
Suppose 5 - 8*k**2 + 26*k + 6*k**2 + 63 - 8 = 0. Calculate k.
-2, 15
Let t(g) = 52*g**3 + 188*g**2 + 256*g + 116. Let w(d) = -154*d**3 - 564*d**2 - 768*d - 347. Let j(z) = 11*t(z) + 4*w(z). Solve j(p) = 0 for p.
-2, -14/11, -1
Let -4*a**2 + 152/3 - 220/3*a = 0. What is a?
-19, 2/3
Let f(b) be the first derivative of -b**4/8 - b**3 - 5*b**2/4 - 161. Solve f(j) = 0.
-5, -1, 0
Let b(f) = f**2 + 3*f - 2. Let j = 5 - 9. Let i be b(j). Factor 4*u - i*u + 2*u - 2 - 2*u**2.
-2*(u - 1)**2
Let x(h) = h**2 + 8*h + 1. Let s be x(-8). Suppose -w - s + 3 = 0. Determine r so that 0*r**2 + r**4 - 4*r**w + 2*r**2 + r**4 = 0.
-1, 0, 1
Factor 4/9 + 2/9*o**2 + 2/3*o.
2*(o + 1)*(o + 2)/9
Let m(c) be the second derivative of c**4/24 - 16*c**2 + 2*c + 215. Factor m(z).
(z - 8)*(z + 8)/2
Let z = -508066021/728 - -697893. Let a = z + 1/91. Factor a*o**2 + 1/4*o + 0.
o*(o + 2)/8
Let y(q) be the second derivative of -2*q**3 - 3/20*q**5 - 5/4*q**4 - 43*q + 0 + 0*q**2. Factor y(g).
-3*g*(g + 1)*(g + 4)
Let n(f) be the third derivative of -f**8/784 + 3*f**7/490 - f**6/140 + 137*f**2 + f. Determine p, given that n(p) = 0.
0, 1, 2
Let q be 5/50*5*(-100)/(-275). Find w such that -4/11*w - q*w**2 + 6/11 = 0.
-3, 1
Solve 9/4*f**2 + 5*f + 1/4*f**3 + 3 = 0 for f.
-6, -2, -1
Factor 2*j**5 + 12/5*j**3 + 0 - 6/5*j + 24/5*j**4 - 8/5*j**2.
2*j*(j + 1)**3*(5*j - 3)/5
Let q(l) be the second derivative of l**6/2880 - 2*l**3/3 + 7*l. Let n(b) be the second derivative of q(b). Solve n(v) = 0 for v.
0
Let w(y) be the second derivative of -y**4/12 - y**3/6 + 3*y**2 - 40*y. Solve w(q) = 0 for q.
-3, 2
Let p(f) be the second derivative of f**5/160 - 5*f**4/24 + 17*f**3/16 - 6*f + 31. Factor p(z).
z*(z - 17)*(z - 3)/8
Let c(s) = -2*s**5 - 9*s**4 + 2*s**3 - s**2 + 5. Let m(d) = -2*d**5 - 10*d**4 + 2*d**3 - 2*d**2 + 6. Let n(j) = 6*c(j) - 5*m(j). Suppose n(w) = 0. What is w?
-2, -1, 0, 1
Let h(a) be the second derivative of a**6/1080 - 2*a**5/45 + 8*a**4/9 + 14*a**3/3 + 18*a. Let c(b) be the second derivative of h(b). Factor c(q).
(q - 8)**2/3
Let d(q) be the first derivative of 288*q**5/35 + 84*q**4 + 4994*q**3/21 + 56*q**2 + 32*q/7 - 48. What is h in d(h) = 0?
-4, -1/12
Let x(c) be the second derivative of 0*c**3 + 0 + 0*c**2 + 0*c**4 + 1/15*c**5 + 11*c + 1/45*c**6. Factor x(h).
2*h**3*(h + 2)/3
Suppose 3 = 2*v - t - 9, 4*t = v + 8. Suppose -s + 16 = 5*h, -3*h + 20 = 15*s - 17*s. Solve 18/5*r**h - 12*r**3 - v*r + 74/5*r**2 + 8/5 = 0.
2/3, 1
Let a(t) be the second derivative of -t**5/40 + 5*t**4/24 + 2*t**3/3 - 3*t**2 + 449*t. What is b in a(b) = 0?
-2, 1, 6
Let p be 5/(64/(-24) - -4). What is i in -9/4*i**2 + 9*i - 3 - p*i**3 = 0?
-2, 2/5, 1
Let f = -2325 - -2328. Solve -9/2*u**2 + 0 - 2*u**f - u = 0 for u.
-2, -1/4, 0
Determine z so that -8843*z - z**3 + 4403*z + 4369*z - 72*z**2 = 0.
-71, -1, 0
Let q(s) be the third derivative of 1/63*s**8 - 1/36*s**4 + 0 + 0*s**3 - 4/105*s**7 - 23/360*s**6 + 1/12*s**5 + 5*s**2 + 0*s. Solve q(h) = 0 for h.
-1, 0, 1/4, 2
Let m = 69 - 7. Suppose -210*o**4 + m*o**2 + 185*o**3 - 68*o**2 - 9*o - 135*o**5 + 146*o**2 + 29*o = 0. What is o?
-2, -1/3, -2/9, 0, 1
Let g = 112673/252 + -8419/18. Let k = g + 83/4. Factor 1/7*y**3 - k*y**4 - 2/7 + 3/7*y**2 - 1/7*y.
-(y - 2)*(y - 1)*(y + 1)**2/7
Let g = 240 - 236. Let t(v) be the third derivative of 1/30*v**6 + 0*v - 1/105*v**7 - 1/30*v**5 + 6*v**2 + 0*v**3 + 0 + 0*v**g. Find l such that t(l) = 0.
0, 1
Let w = 291/1939 - 2/277. Let r = 1/7 + w. Factor 4/7*u**2 - r*u**3 + 0 + 0*u.
-2*u**2*(u - 2)/7
Let i(x) = x**2 - 11*x + 20. Let s be i(10). Suppose 4*n**2 - s*n - n**4 + 2*n + 0*n**2 + 2*n**3 = 0. What is n?
-2, 0, 2
Let x be -2 - -2 - (4 - 2) - -4. Let n(b) be the first derivative of 1/2*b**4 + 0*b - 8 + b**3 + 1/2*b**x. Determine i so that n(i) = 0.
-1, -1/2, 0
Let y = -6513 - -6516. Factor -180*b**2 - 24 - 75/2*b**y - 126*b.
-3*(b + 4)*(5*b + 2)**2/2
Let n(y) be the first derivative of -y**5/30 - y**4/6 - 2*y**2 - 20. Let b(v) be the second derivative of n(v). Let b(g) = 0. Calculate g.
-2, 0
Let j(f) be the third derivative of -f**5/6 + 25*f**4/24 - 5*f**3/2 + 12*f**2. Factor j(t).
-5*(t - 1)*(2*t - 3)
Let l(x) be the third derivative of -19*x**2 - 1/110*x**5 - 2/1155*x**7 + 1/33*x**3 - 1/132*x**4 + 0 + 0*x + 1/132*x**6. Find f such that l(f) = 0.
-1/2, 1
Let z(o) = -o**2 + 7*o - 2. Let q(h) = -22*h - 3*h**2 + 22*h + 2*h**2. Let t(v) = 5*q(v) - z(v). Let t(a) = 0. What is a?
-2, 1/4
Suppose 1007*w**3 + 38*w - 6*w**2 - 4*w**4 - 14*w + w**4 - 1022*w**3 = 0. What is w?
-4, -2, 0, 1
Let n(i) = 3*i + 29. Let c be n(-9). Find u such that 15 + 3*u**2 - 4*u - 39 + u**c = 0.
-2, 3
Let u(f) = -3*f**2 + 200*f - 323. Let m be u(65). Factor 0*y + 0 - 1/5*y**m - 1/5*y**3.
-y**2*(y + 1)/5
Suppose -9 = -3*r + 4*i, 5*r - r - 12 = -4*i. Let q be ((-10)/(-5) - 2) + r. Find p, given that -3/2*p**2 - p + 0 - 3/2*p**4 + 4*p**q = 0.
-1/3, 0, 1, 2
Let c be 2/(-126)*7*-18. Find o, given that -4/3 - 172/3*o**c + 292/3*o**3 - 224/3*o**4 + 44/3*o + 64/3*o**5 = 0.
1/4, 1
Determine w, given that -723*w**3 - 1953*w**2 - 195/2*w**4 - 1617/2*w + 1029/2 - 9/2*w**5 = 0.
-7, -1, 1/3
Let j = 17 - 14. Suppose j*t + 17 = 4*f, -5*f + 4 = 5*t - 3*t. Factor 2*s**2 - 287*s**3 + 0*s**2 + 281*s**3 + 6*s**4 - f*s**5.
-2*s**2*(s - 1)**3
Let y(a) = -a + 3. Let t be y(11). Let q be t/(-8) + 1 + 1. Let 2 + 3*k**2 - 4*k - 6 + 2*k + q = 0. What is k?
-1/3, 1
Let j(t) = -4*t**3 + 53*t**2 + 109*t + 46. Let h(f) = 7*f**3 - 104*f**2 - 217*f - 93. Let g(u) = -6*h(u) - 13*j(u). Suppose g(l) = 0. Calculate l.
-1, -1/2, 8
Let w(f) be the first derivative of 99/2*f**4 + 7/2*f**6 + 0*f + 7 + 12*f**2 - 44*f**3 - 111/5*f**5. Let w(p) = 0. What is p?
0, 2/7, 1, 2
Suppose -m = 2*m + 5*s + 192, 4*s = -2*m - 128. Let b be (-272)/m - (-2)/(-8). Factor 4*w**3 - 485*w**4 - b*w**5 + 485*w**4.
-4*w**3*(w - 1)*(w + 1)
Suppose 0 = 6*p + 2*w - 22, -61 = 5*p - 4*w - 85. Suppose 6/5*b**3 + 6/5*b**2 + 0 + 2/5*b + 2/5*b**p = 0. Calculate b.
-1, 0
Suppose 0 = -20*k + 23*k - 3. Let q(u) = 9*u - 6. Let t be q(k). Factor 4/11 - 10/11*h - 2/11*h**t + 8/11*h**2.
-2*(h - 2)*(h - 1)**2/11
Let q(j) = j**2 - 12*j + 38. Let d be q(6). Suppose 10*y**d - 5*y**3 - 20*y - 26*y**2 - 9*y**2 = 0. Calculate y.
-4, -1, 0
Let w(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + 2*d**2 - 1/360*d**6 - 2*d + 1/60*d**5. Determine s so that w(s) = 0.
0, 3
Find f such that -f**4 - 34*f + 3*f - 6*f**3 + 19*f - 13*f**2 - 4 = 0.
-2, -1
Suppose 3*u - 6 = 3*t, u + 3 - 11 = 4*t. Factor 9/7*m**3 + u*m**2 - 12/7*m + 3/7*m**4 + 0.
3*m*(m - 1)*(m + 2)**2/7
Let y(g) be the first derivative of 2*g**5/45 - g**4/6 - 8*g**3/27 - 32. Facto