+ 87. Let z(l) = a*i(l) + 7*d(l). Suppose z(h) = 0. Calculate h.
-5/3, -1
Suppose 5*y + 7 - 3 = -3*f, -5*f - y + 8 = 0. Solve 314*u**2 - 318*u**f + 24*u - 29 - 7 = 0 for u.
3
Let k(d) be the third derivative of -d**5/420 + 113*d**4/168 + 78*d**3/7 + 1333*d**2. Find h, given that k(h) = 0.
-4, 117
Let j(r) be the first derivative of 90*r**5/13 + 165*r**4/26 - 112*r**3/39 + 4*r**2/13 + 280. Let j(k) = 0. Calculate k.
-1, 0, 2/15
Let l(v) be the first derivative of -v**4/5 - 8*v**3/15 - 524. Find i, given that l(i) = 0.
-2, 0
Solve 170/3*g + 1/3*g**2 + 7225/3 = 0 for g.
-85
Let a(y) be the first derivative of -11/9*y**2 + 74 - 8/3*y + 2/27*y**3. Factor a(s).
2*(s - 12)*(s + 1)/9
Suppose 2*h = 43 - 37. Suppose 3*n**2 - 9*n + 4*n**3 + 8*n**h - 12 - 3*n - 9*n**3 = 0. Calculate n.
-2, -1, 2
Let 62*l**2 - 47*l**2 + l**3 + 32*l - 27*l**2 - 3*l**3 = 0. Calculate l.
-8, 0, 2
Let f(q) be the first derivative of -10/3*q**3 + 8 + 2/5*q**5 + 0*q + 0*q**2 - 2*q**4. Let f(y) = 0. What is y?
-1, 0, 5
Let n(f) be the first derivative of f**5/10 + 3*f**4/4 - 8*f**3/3 + 4561. Suppose n(d) = 0. Calculate d.
-8, 0, 2
Let a(q) = -q**2 + q + 2. Let i(z) = 2*z**4 - 44*z**3 + 235*z**2 - 463*z + 280. Let p(x) = -5*a(x) + i(x). Determine c so that p(c) = 0.
1, 3, 15
Let w(r) = -r**2 + 8*r + 52. Let b be w(-4). Let -2*f**4 + 2910*f**3 - b*f - 10*f**2 + 2918*f**3 - 5836*f**3 = 0. Calculate f.
-2, -1, 0
Factor -8/9*d + 1/9*d**3 + 2/9*d**2 + 0.
d*(d - 2)*(d + 4)/9
Let v be ((-522)/145*15/24)/(189/(-168)). Solve -b**4 - 10/3*b**3 + 0*b**v + 0*b + 0 + 1/3*b**5 = 0 for b.
-2, 0, 5
Let o(f) be the second derivative of 0 - 3/10*f**6 - 3/8*f**3 - 3/4*f**2 + 50*f + 3/2*f**4 + 39/80*f**5. Suppose o(p) = 0. Calculate p.
-1, -1/4, 1/3, 2
Let r be (2/3)/((42/216)/7). Let t be (-1)/(-2) - (-60)/r. Factor 0*u**2 - u**2 + 6*u - 6*u + u**t.
u**2*(u - 1)
Let l = 341/14 - 675/28. Let q(s) be the second derivative of -l*s**5 - 5/2*s**3 + 5/4*s**4 + 4*s + 5/2*s**2 + 0. Factor q(n).
-5*(n - 1)**3
Let l(z) be the second derivative of z**4/60 - 299*z**3/15 + 89401*z**2/10 + 120*z - 1. Suppose l(o) = 0. Calculate o.
299
Let o(t) be the second derivative of -7/12*t**3 - 5/24*t**4 - 3 + 0*t**2 - 9*t. Factor o(v).
-v*(5*v + 7)/2
Let o = 68457 - 68457. Factor 8/5*r + o - 2/5*r**3 - 6/5*r**2.
-2*r*(r - 1)*(r + 4)/5
Let v(k) be the second derivative of -2*k + 4/7*k**2 - 13/42*k**4 - 3/10*k**5 + 13 + 4/7*k**3. Suppose v(t) = 0. Calculate t.
-1, -2/7, 2/3
Suppose 5*x - 676 = 18*x. Let s = x - -54. Let -s*d - 4*d + d**2 - 5*d**2 + d**2 = 0. Calculate d.
-2, 0
Let n be (-5)/(10/12) + 2 + 729. Let o = -1445/2 + n. Factor 0 - 9/2*t**3 - 1/2*t**5 - 7/2*t**2 - t - o*t**4.
-t*(t + 1)**3*(t + 2)/2
Let w(o) be the second derivative of -16/15*o**6 - 22/5*o**5 - 28/3*o**4 - 8*o**2 - 1 + 36*o - 34/3*o**3 - 2/21*o**7. Factor w(d).
-4*(d + 1)**4*(d + 4)
Suppose 4*m + 6*r = 6, -1 + 14 = 4*m - r. Find s, given that 8/15*s + 2/3*s**m + 8/5*s**2 + 0 = 0.
-2, -2/5, 0
Let q(o) be the third derivative of o**8/20160 + o**7/1890 - o**6/180 - o**4/8 + 29*o**3/6 + 88*o**2. Let f(v) be the second derivative of q(v). Factor f(d).
d*(d - 2)*(d + 6)/3
Determine l so that -68*l**3 - 187 + 194 - 5*l**4 + 9*l**4 - 175 + 164*l**2 + 68*l = 0.
-1, 1, 3, 14
Let h(s) = -s**2 - 69*s - 174. Let n be h(-66). Let r be 6/99*(35 - n). Suppose 0*d + r - 2/3*d**2 = 0. What is d?
-1, 1
Let t = -37071 - -74147/2. Suppose -17/6*k**3 + 0 - 11/6*k**4 + t*k**5 + 7/6*k**2 + k = 0. What is k?
-2/3, -3/5, 0, 1
Factor -57*n**3 - 25*n**2 + n**5 + 128*n - 34*n**3 - 64 + 75*n**3 + 20*n**4 - 39*n**2 - 5*n**5.
-4*(n - 2)**3*(n - 1)*(n + 2)
Find n such that -35*n - n**2 + 300 + 785 - 1301 = 0.
-27, -8
Suppose -58 = -6577*f + 6543*f + 78. Factor 4/3*d**3 + 2/9*d**f - 2 + 16/9*d**2 - 4/3*d.
2*(d - 1)*(d + 1)*(d + 3)**2/9
Let h(p) = p**2 - 9*p - 8. Let k be h(-12). Suppose -4*w + 236 = -y, -y = 4*w - 0*y - k. Factor -36*q**2 - 4*q**5 + q**4 - 10*q**4 + 0*q**5 - w*q**3 - 19*q**4.
-4*q**2*(q + 1)*(q + 3)**2
Find c, given that -18*c**2 + 28*c**2 - 272 + 100*c**3 - 90*c**2 - 416*c - 3*c**5 - 6*c**5 + 37*c**4 + 10*c**5 = 0.
-34, -2, -1, 2
Let i = 107 - 110. Let g(d) = -3*d**2 - 43*d - 102. Let y(r) = -2*r**2 - 42*r - 103. Let b(v) = i*g(v) + 2*y(v). What is w in b(w) = 0?
-5, -4
Let t be (3 - (-36)/(-15)) + 20484/(-15). Let n be -5*1*117/t. Factor -n*k**5 + 0*k + 0*k**2 + 12/7*k**4 - 12/7*k**3 + 0.
-3*k**3*(k - 2)**2/7
Let 6*s**2 + 41*s - 80*s - 384 - 3*s**2 + 79*s + s**2 = 0. What is s?
-16, 6
Suppose 5*w + y - 4*y = 465, 372 = 4*w - 3*y. Factor -97*q**2 + 357*q - w*q - 15*q**2 - 72 - 130*q**2.
-2*(11*q - 6)**2
Let c be ((-1180)/25)/(-4 - 36/(-10)). Suppose -4*k + 5*h - 8 = 0, -3*k - 123*h = -c*h - 29. Let k*y + 0 - 1/3*y**2 = 0. What is y?
0, 9
Let r(c) be the second derivative of -5/6*c**3 + 1/3*c**4 + 10 + 4*c + c**2 - 1/20*c**5. Factor r(t).
-(t - 2)*(t - 1)**2
Let h = -143775 + 287551/2. Suppose h*f**3 + 0*f + 1/6*f**4 + 0 + 0*f**2 = 0. What is f?
-3, 0
Let m(y) be the third derivative of 1/15*y**6 - 1/6*y**4 + 0*y**3 - 1/84*y**8 - 65*y + 0 + 0*y**5 - 2*y**2 + 0*y**7. Factor m(u).
-4*u*(u - 1)**2*(u + 1)**2
Let v(j) be the second derivative of j**7/420 + j**6/60 - j**4/3 + 6*j**3 + 81*j. Let s(w) be the second derivative of v(w). Suppose s(n) = 0. Calculate n.
-2, 1
Suppose -20*z - 8 = -24*z. Let i(o) = z*o**2 - o + 0*o**2 + 5*o**2 - 6*o**2. Let j(y) = 4*y**2 - 12*y + 8. Let m(h) = -15*i(h) + 3*j(h). Factor m(q).
-3*(q - 1)*(q + 8)
Suppose -5*p + 30 = 5*j, -3*j + p - 6*p = -28. Let u(b) = b + 2. Let h(w) = w**2 + 3*w + 7. Let i(o) = j*h(o) - 5*u(o). Factor i(t).
(t - 3)*(t + 1)
Let w(t) be the second derivative of 3*t**5/100 + 609*t**4/20 + 46512*t**3/5 + 138624*t**2/5 + 618*t - 3. Solve w(f) = 0.
-304, -1
Let m be 14355/3132*(-142)/(-55). Factor -12 + m*d + 1/6*d**2.
(d - 1)*(d + 72)/6
Let h = 5350 - 5346. Let q(s) be the second derivative of 1/30*s**h - s + 0 + 0*s**2 - 2/15*s**3. Factor q(a).
2*a*(a - 2)/5
Let l(z) be the second derivative of z**6/225 - 3*z**5/50 - 11*z**4/45 - 22*z - 21. Solve l(u) = 0.
-2, 0, 11
Let t be 60/(-200) - 21/(-42). Solve -45 + 39*j + t*j**3 + 29/5*j**2 = 0.
-15, 1
Let y = -55 - -57. Suppose -8*g + 275 + y*g**2 - 275 = 0. What is g?
0, 4
Let p(k) be the second derivative of k**4/54 + 865*k**3/27 - 866*k**2/9 + 296*k. Let p(o) = 0. Calculate o.
-866, 1
Let q(b) be the second derivative of -69*b**5/20 + 93*b**4/2 + 191*b**3/2 - 27*b**2 + 6393*b. Let q(d) = 0. What is d?
-1, 2/23, 9
Let k be (-1416)/(-924) - ((-21)/((-210)/20))/(-11). Factor -16/7*n + 0 + 4/7*n**3 + k*n**2.
4*n*(n - 1)*(n + 4)/7
Let a(k) be the third derivative of k**5/80 + 81*k**4/32 - 215*k**3/4 - 1989*k**2 - 3*k. Factor a(f).
3*(f - 5)*(f + 86)/4
Let h(j) be the first derivative of -22*j**2 + 214 + 32/3*j - 4/15*j**5 + 8/9*j**3 + 11/4*j**4. Determine t, given that h(t) = 0.
-2, 1/4, 2, 8
Let z = -12268/1395 - -2900/279. Factor 2/5*u**4 + 16/5*u**2 - 2*u**3 + 0 - z*u.
2*u*(u - 2)**2*(u - 1)/5
Let j(n) be the second derivative of -n**6/6 - 137*n**5/2 + 1375*n**4/12 + 2*n + 3014. Factor j(x).
-5*x**2*(x - 1)*(x + 275)
Let w(d) be the third derivative of d**8/672 + 13*d**7/420 + 13*d**6/80 + 23*d**5/120 - 5*d**4/6 - 3*d**3 + 1902*d**2. Find v, given that w(v) = 0.
-9, -2, -1, 1
Let w = -17/3371 + 3473/20226. Factor 0 + 0*b + 1/6*b**4 - 1/6*b**3 + 1/6*b**5 - w*b**2.
b**2*(b - 1)*(b + 1)**2/6
Let y(v) be the first derivative of -45/8*v**2 + 7/16*v**4 - 9/2*v - 237 - 1/3*v**3. Find p, given that y(p) = 0.
-2, -3/7, 3
Let o(v) be the third derivative of 1/60*v**5 + 1/9*v**4 + 0 + 8/27*v**3 - 88*v**2 + 0*v + 1/1080*v**6. Factor o(l).
(l + 1)*(l + 4)**2/9
Let q = -305580 + 305585. Determine d so that -6 + 1/2*d**3 - q*d**2 - 23/2*d = 0.
-1, 12
Let s be (-15)/7*-63*37/1998. Let m(a) be the first derivative of -2*a**5 + 5/6*a**6 + 0*a**4 + 0*a + 10/3*a**3 + 36 - s*a**2. Factor m(v).
5*v*(v - 1)**3*(v + 1)
Solve 810*q**4 + 64/7 - 1712/7*q - 25524/7*q**3 + 11800/7*q**2 = 0 for q.
2/35, 2/9, 4
Let a(s) = -18*s**4 + s**3 + 8*s**2 - s. Let k(j) = -7*j**4 + 3*j**2. Let d(g) = -2*a(g) + 5*k(g). What is x in d(x) = 0?
-1, 0, 1, 2
Let b(y) be the first derivative of y**3/15 - 903*y**2/10 + 902*y/5 + 6597. Solve b(u) = 0 for u.
1, 902
Let a(l) be the first derivative of -l**5/270 + 7*l*