culate b.
-16, 0, 1/2
Let z(x) = 2*x**4 - 111*x**3 - 43*x**2 + 116*x + 56. Let g(q) = -4*q**4 + 278*q**3 + 108*q**2 - 290*q - 140. Let d(l) = -5*g(l) - 12*z(l). Solve d(h) = 0.
-14, -1, -1/2, 1
Find l such that -153119*l + 3*l**5 + 429*l**4 + 311469 + 7590*l**3 + 795938*l + 351654*l**2 - 8766*l**3 + 21906*l**3 = 0.
-47, -1
Let v be 0/(2/(-2) - (7 + -4)). Let h(u) be the second derivative of 0 + v*u**2 - 1/27*u**3 + 4*u + 1/45*u**5 + 1/54*u**4. Suppose h(n) = 0. What is n?
-1, 0, 1/2
Suppose -u = -6*u - 130. Let l = u + 79/3. Suppose -1/2*d + l + 0*d**2 + 1/6*d**3 = 0. Calculate d.
-2, 1
Let q be (10/(-40)*8/(-2))/(99/18). Factor 10/11*u**4 - 10/11*u + 20/11*u**2 - 20/11*u**3 - q*u**5 + 2/11.
-2*(u - 1)**5/11
Let m = 17 + -15. Suppose 5*a = 4*c + 23, -m*a - c + 17 = -0*a. Let 21*n**2 + 9*n - 5*n + a*n + 4 + 9*n = 0. What is n?
-2/3, -2/7
Let p(o) be the third derivative of o**7/6720 + o**6/480 + o**5/80 + 5*o**4/24 + 3*o**2. Let z(m) be the second derivative of p(m). Suppose z(l) = 0. What is l?
-2
Suppose 4 - 16 = -4*t. Let p = 0 + t. Find o, given that -4*o**4 + o**3 + 10*o**5 - 12*o**5 - 3*o**p = 0.
-1, 0
Suppose -1 = -7*j + 20. Let g(s) = 2*s**4 + 14*s**3 + 15*s**2 + 3*s. Let k(b) = -b**4 - 7*b**3 - 8*b**2 - 2*b. Let p(w) = j*g(w) + 7*k(w). Factor p(u).
-u*(u + 1)**2*(u + 5)
Suppose 98 - 2*o - 42 + o**3 + 19*o**2 + 37*o - 39 = 0. What is o?
-17, -1
Determine f, given that 4*f**3 + 10926*f + 60*f**2 - 10864*f - 6*f**3 = 0.
-1, 0, 31
Let v(n) be the first derivative of -2*n**6/15 - 8*n**5/25 + n**4 + 8*n**3/5 + 325. Solve v(r) = 0 for r.
-3, -1, 0, 2
Suppose -60*i + 417 = 117. Let f(s) be the third derivative of 0*s - 1/20*s**i - 13/360*s**6 + 1/9*s**3 + 1/72*s**4 + 0 + 5*s**2 - 1/126*s**7. Factor f(n).
-(n + 1)**3*(5*n - 2)/3
Factor 0 - 1/2*h - 7/8*h**3 + 2*h**2.
-h*(h - 2)*(7*h - 2)/8
Let n = -411 - -2885/7. Suppose -o = -5*o + 8. Solve 8/7 - n*v + 2/7*v**o = 0.
2
Let c(p) = p**3 - 25*p**2 - 64*p + 241. Let k(x) = -3*x**3 + 49*x**2 + 128*x - 477. Let a(i) = -7*c(i) - 3*k(i). Factor a(j).
2*(j - 2)*(j + 8)**2
Suppose -2*p + 25 = 5. Let d(z) = 3*z**2 - 2*z + 1. Let g be d(1). Factor 2*t**g - 4*t**2 + p*t - 6*t - 2.
-2*(t - 1)**2
Suppose 30 = 3*s - 8*x, 23 = -x + 20. Factor 3/8 - 3/8*k**s - 3/8*k**3 + 3/8*k.
-3*(k - 1)*(k + 1)**2/8
Suppose 1 = w - 1. Suppose 41*q - 3 = 40*q. Let 24*z - 9*z**w - 12 + 0*z**2 - q*z**3 + 125*z**4 - 122*z**4 - 3*z**3 = 0. Calculate z.
-2, 1, 2
Let w(a) be the third derivative of -a**7/840 + a**6/80 + 3*a**5/80 - 7*a**4/48 - 51*a**2. Suppose w(b) = 0. What is b?
-2, 0, 1, 7
Factor 42/5*h**2 + 2/5*h**4 + 96/5 + 164/5*h - 24/5*h**3.
2*(h - 8)*(h - 6)*(h + 1)**2/5
Let k(t) be the second derivative of -1/18*t**6 + 21*t - 10/9*t**3 + 0 + 5/12*t**4 + 1/6*t**5 - 10/3*t**2. Factor k(q).
-5*(q - 2)**2*(q + 1)**2/3
Let j(m) be the second derivative of m**7/252 + 11*m**6/180 + 11*m**5/40 + 37*m**4/72 + 7*m**3/18 - m + 59. Solve j(q) = 0.
-7, -2, -1, 0
Let x(p) be the first derivative of 1/1440*p**6 - 13/3*p**3 - 7 + 0*p + 1/120*p**5 + 0*p**2 + 1/32*p**4. Let m(k) be the third derivative of x(k). Factor m(j).
(j + 1)*(j + 3)/4
Let h(v) be the first derivative of -7*v**4/4 + 11*v**3/5 + 36*v**2/5 + 4*v/5 + 425. Factor h(f).
-(f - 2)*(f + 1)*(35*f + 2)/5
Factor 248/7 - 116/7*c - 4/7*c**2.
-4*(c - 2)*(c + 31)/7
Let z(t) be the second derivative of 0*t**4 - 1/60*t**6 + 0*t**3 - 1/40*t**5 - 17*t + 0 + 0*t**2. Factor z(g).
-g**3*(g + 1)/2
Let a = 62 + -59. Suppose 5*c = a*p - 7*p + 32, 4*p = 5*c - 8. Solve 3/2*w**2 - 3/2*w**4 + 0 + 0*w**p + 0*w = 0.
-1, 0, 1
Let m(q) be the first derivative of -25*q**4/2 - 110*q**3/3 - 18*q**2 + 307. Factor m(w).
-2*w*(5*w + 2)*(5*w + 9)
Let s(x) = -3*x - 28. Let m be s(-11). Suppose -3 = m*u - 13. Solve 2/5*l - 8/5*l**u + 6/5 = 0.
-3/4, 1
Let y be (3/(30/(-4)))/((-5)/50). Suppose y*t + 3 = 7*t. Solve -1/4*q**2 + q - t = 0.
2
Determine r, given that 40*r**3 - 118/9*r**2 + 4/3*r + 160/9*r**5 - 46*r**4 + 0 = 0.
0, 3/16, 2/5, 1
Let m(w) be the first derivative of 4*w**3/21 + 2*w**2/7 - 24*w/7 - 110. Factor m(f).
4*(f - 2)*(f + 3)/7
Let s(v) be the second derivative of v**5/110 + 3*v**4/11 + 36*v**3/11 + 216*v**2/11 + 17*v + 3. Factor s(b).
2*(b + 6)**3/11
Let p(k) be the third derivative of -k**6/240 - k**5/6 - 3*k**4/4 + 4*k**2 + 20. Factor p(v).
-v*(v + 2)*(v + 18)/2
Let m(j) = -2 - 12*j + 1 + 17*j**2 + 4. Let t(a) = -16*a**2 + 12*a - 3. Let q be (330/99)/((-5)/(-6)). Let g(z) = q*m(z) + 5*t(z). Factor g(b).
-3*(2*b - 1)**2
Let o(m) be the third derivative of m**5/15 - m**4/2 - 20*m**3/3 - 29*m**2. Factor o(p).
4*(p - 5)*(p + 2)
Factor -77*j**2 - 280*j + 143*j**2 + 80 + j**2 + 178*j**2.
5*(7*j - 4)**2
Factor -12/7*q**4 + 26/7*q**3 + 2/7*q**5 + 8/7*q + 0 - 24/7*q**2.
2*q*(q - 2)**2*(q - 1)**2/7
Let m(u) be the third derivative of -u**7/1995 - u**6/570 + u**5/114 + u**4/38 - 634*u**2. What is w in m(w) = 0?
-3, -1, 0, 2
Let t(v) be the first derivative of -v**8/5040 + v**6/360 - v**5/180 - 8*v**3/3 + 6. Let g(i) be the third derivative of t(i). Factor g(z).
-z*(z - 1)**2*(z + 2)/3
Let b(h) = -31*h**4 + 35*h**3 - 10*h**2 - 6. Let i(l) = -63*l**4 + 70*l**3 - 20*l**2 - 13. Let u(o) = 13*b(o) - 6*i(o). Determine t so that u(t) = 0.
0, 2/5, 1
Let r(o) be the third derivative of o**8/336 - o**7/35 + o**6/12 - 11*o**4/24 + o**3 - 27*o**2 - 2*o. Suppose r(n) = 0. Calculate n.
-1, 1, 2, 3
Suppose 2*a = 3*d + 28 - 22, 3*a - 4*d = 9. Factor 0*r**4 + 4/3*r + 4/3*r**5 + 0 - 8/3*r**a + 0*r**2.
4*r*(r - 1)**2*(r + 1)**2/3
Let q be (-16)/(-5) - 11/55. Suppose -8*b + 15 = -q*b. Factor 1/4*y**4 - 1/2*y**b + 1/4 + 1/4*y**5 + 1/4*y - 1/2*y**2.
(y - 1)**2*(y + 1)**3/4
Let v(p) be the first derivative of p**6/30 - p**4/2 + 4*p**3/3 - 6*p**2 + 12. Let o(x) be the second derivative of v(x). Find i, given that o(i) = 0.
-2, 1
Factor -112896/5*l - 3/5*l**3 + 1008/5*l**2 + 4214784/5.
-3*(l - 112)**3/5
Let x(r) be the second derivative of -2/3*r**2 + 1/3*r**3 - 1/9*r**6 + r - 1/10*r**5 + 4 + 7/18*r**4. Solve x(f) = 0 for f.
-1, 2/5, 1
Factor 16*p + 2*p**3 + 8 - 50*p**2 + 16 - 4*p**3 + 25*p**2 + 15*p**2.
-2*(p - 2)*(p + 1)*(p + 6)
Let y(k) be the first derivative of 5*k**3/12 + 195*k**2/8 - 50*k - 79. Solve y(g) = 0.
-40, 1
Let t be 18/12*(-3 - 23/(-3)). Let -t - 12*w**2 - w + 13*w + 3 + 4*w**3 = 0. What is w?
1
Let j be 7/(-78)*-2 - 100/(-650). Factor -5/3*m**2 - j + 2/3*m**3 + 4/3*m.
(m - 1)**2*(2*m - 1)/3
Let d(s) be the third derivative of 0*s - 12*s**2 + 1/120*s**5 + 0*s**3 + 0 + 1/24*s**4. Find m, given that d(m) = 0.
-2, 0
What is h in -18*h - 60*h**3 + 55*h - 28*h**4 - 4*h**5 + 48 + 27*h - 20*h**2 = 0?
-3, -2, -1, 1
Let s = 1 + -11. Let l be s/6*(-4)/10. Factor 1/3*y**2 + l*y - 1/3*y**3 + 0.
-y*(y - 2)*(y + 1)/3
Let o(x) be the third derivative of -x**7/21 + 11*x**6/60 + 51*x**5/25 + 53*x**4/15 + 8*x**3/3 - 4*x**2 + 3*x. What is m in o(m) = 0?
-2, -2/5, 5
What is k in -1682/7*k - 2/7*k**3 + 116/7*k**2 + 0 = 0?
0, 29
Factor 69*w**2 - 54*w**3 + 8*w**4 - 117*w**2 - 6*w**4 - 8*w**2.
2*w**2*(w - 28)*(w + 1)
Let b(f) = -f**3 + 16*f**2 - 15*f + 2. Let t be b(15). Factor 93*s + 235 + 187 + 207*s + 4*s**3 + 60*s**t + 78.
4*(s + 5)**3
Suppose -4*c = y - 15, 3*y = 3*c + 2*y - 13. Factor 3*f**5 - 5*f**3 + 2*f**3 - 3*f**2 + 0*f**3 + 3*f**c.
3*f**2*(f - 1)*(f + 1)**2
Let h(v) be the first derivative of 2*v**3/15 + v**2/5 + 50. Let h(z) = 0. Calculate z.
-1, 0
Let p(m) be the third derivative of -m**6/45 - 13*m**5/45 - 169*m**4/144 - 26*m**2. Suppose p(o) = 0. What is o?
-13/4, 0
Suppose 412 = 20*s - 18*s - 4*y, 4*y - 1100 = -5*s. Let v = s - 212. Factor 2/7*u**v - 2/7*u**3 + 2/7*u - 6/7*u**2 + 4/7.
2*(u - 2)*(u - 1)*(u + 1)**2/7
Let l(p) be the first derivative of -p**4/12 + 2*p**3/3 + 5*p**2/2 - 17*p + 7. Let z(b) be the first derivative of l(b). Determine v, given that z(v) = 0.
-1, 5
Let d = -102 + 513/5. Let l(p) be the second derivative of 0 + d*p**5 - 5*p - 1/2*p**4 - 1/14*p**7 + 3*p**2 + 0*p**6 - 3/2*p**3. Solve l(t) = 0.
-2, -1, 1
Let x(p) = -p**3 - p - 3. Let y(t) = t**4 + t**3 - 8*t**2 + 3*t + 9. Let z(f) = 6*x(f) + 2*y(f). Let z(w) = 0. Calculate w.
-2, 0, 4
Let h(o) be the second derivative of 3*o**4/10 - 59*o**3/10 - 3*o**2 + 172*o. Factor h(w).
3*(w - 10)*(6*w + 1)/5
What is t in t**5 + 157*t**3 + 172*t + 128/3 + 752/3