he first derivative of -b**6/12 - 3*b**5/5 + b**4/4 + 2*b**3 - b**2/4 - 3*b - 174. What is k in q(k) = 0?
-6, -1, 1
Let y be (-46)/(-80) - 1/5. Let g = -730 + 2923/4. Factor -3/8 + 3/4*c**2 - 3/8*c**5 + g*c**3 - y*c - 3/8*c**4.
-3*(c - 1)**2*(c + 1)**3/8
Let y = 971 + -969. Let h(v) = -v**3 - 6*v**2 - v - 3. Let l be h(-6). Factor -45*m + 60*m**y + 10 - 15*m**3 + 6*m**3 - 16*m**l.
-5*(m - 1)**2*(5*m - 2)
Suppose -38*v = -59*v + 126. Let i(g) be the first derivative of 2 + 3/2*g**2 - 2*g**3 + 0*g - 1/2*g**v + 6/5*g**5 + 0*g**4. Factor i(w).
-3*w*(w - 1)**3*(w + 1)
Let c(r) be the second derivative of -r**6/10 - 3*r**5/5 - r**4 - 214*r. Suppose c(n) = 0. What is n?
-2, 0
Let f be ((1 - 0)*5*1)/1. Let a(c) be the first derivative of -c**3 - f - 3/4*c**4 - 1/2*c**2 + 0*c - 1/5*c**5. Factor a(q).
-q*(q + 1)**3
Let i(z) be the first derivative of z**5/15 - 5*z**4/24 + z**3/9 + 218. Factor i(s).
s**2*(s - 2)*(2*s - 1)/6
Let j = -4/901 - -2581/378420. Let r(b) be the third derivative of 0 + 0*b**6 + 1/24*b**4 - j*b**7 + 0*b + b**2 + 1/40*b**5 + 0*b**3. Factor r(c).
-c*(c - 2)*(c + 1)**2/2
Let f be -67*(4 - 5)*3. Let t = 201 - f. Suppose 2/11*b - 2/11*b**2 + t = 0. What is b?
0, 1
Let j(f) = f**2 - 2*f - 13. Let i be j(-3). Let u = -5 - -10. Let -b**3 + b**2 + i*b**2 - u*b**2 = 0. Calculate b.
-2, 0
Let p(f) be the second derivative of f**4/18 + f**3/3 - 10*f**2/3 + 3*f - 45. Factor p(a).
2*(a - 2)*(a + 5)/3
Let s(f) = -f**2 + 11*f - 16. Let q be s(9). Let g be (-1)/1*1/(-6)*q. What is k in -g*k + 1/6*k**2 + 1/6 = 0?
1
Let s = 77 - 81. Let d(g) = 18*g**2 - 30*g + 4. Let v(m) = 2*m**2. Let n(j) = s*v(j) + 2*d(j). Find b such that n(b) = 0.
1/7, 2
Suppose -k - w - 4 = 0, 4*k + 427*w - 431*w = 32. Let y = 37/33 - 5/11. Factor 0 + 2/3*l**k - 4/3*l + y*l**3.
2*l*(l - 1)*(l + 2)/3
Suppose -11 - 4 = -3*p. Suppose 0 = -p*z + 6 + 9. Determine n so that 0*n**z + 0 - 4/3*n**4 + 4/3*n**2 - 2/3*n**5 + 2/3*n = 0.
-1, 0, 1
Let x = 811 - 807. Let 1/4*u**2 + 7/8*u**x + 0*u + 0 + 9/8*u**3 = 0. Calculate u.
-1, -2/7, 0
Suppose 0 = -3*h - 3, -3*h - 7 = -5*o + 1. Factor -6 + o - 8*d + d**2 + 9 + 3*d**2.
4*(d - 1)**2
Determine t so that 26/9*t + 280/9 - 2/9*t**2 = 0.
-7, 20
Let r(c) be the third derivative of c**5/30 - 5*c**4/24 + c**3/3 + 2*c**2 + 134*c. Find t, given that r(t) = 0.
1/2, 2
Let n(j) be the second derivative of -j**8/2184 + 2*j**7/1365 - j**5/195 + j**4/156 - j**2/2 + 6*j. Let s(l) be the first derivative of n(l). Factor s(w).
-2*w*(w - 1)**3*(w + 1)/13
Let f(m) be the third derivative of m**7/6300 - m**6/180 + m**5/12 - 7*m**4/8 - 7*m**2. Let x(g) be the second derivative of f(g). Let x(s) = 0. What is s?
5
Suppose -13*s + 33 = 4 - 10. Let -2/3*g**s - 2 + 2/3*g + 2*g**2 = 0. Calculate g.
-1, 1, 3
Factor 0 - 2/9*k**4 - 10/9*k**3 + 2/9*k**5 + 0*k - 2/3*k**2.
2*k**2*(k - 3)*(k + 1)**2/9
Suppose -97 = -2*t - x + 280, x = t - 184. Let g = 383/2 - t. Determine o so that g*o + 0 - 3/2*o**2 = 0.
0, 3
Let u(h) be the first derivative of 5/2*h**2 + 1/3*h**4 + 0*h - 1/30*h**6 - h**3 + 1/6*h**5 - 2. Let t(j) be the second derivative of u(j). Factor t(k).
-2*(k - 3)*(k + 1)*(2*k - 1)
Suppose -4*t - 4*j + 9 = 25, j + 4 = 0. Suppose t = l + 2*l - 6. Suppose -4*v**l + 8/3*v**4 - 4/3*v**3 + 4/3*v + 4/3 = 0. Calculate v.
-1, -1/2, 1
Let x(i) be the third derivative of i**7/70 - 7*i**6/40 + 7*i**5/10 - i**4 + 14*i**2. Factor x(n).
3*n*(n - 4)*(n - 2)*(n - 1)
Let f(c) be the third derivative of 2*c**7/525 - 4*c**6/75 + 17*c**5/75 - c**4/3 - 2*c**2 - 392. Factor f(u).
4*u*(u - 5)*(u - 2)*(u - 1)/5
Let i(u) = -22*u**2 + 4 + 5*u + 3 + 21*u**2 - 4. Let p(o) = -o. Let c(n) = -2*i(n) - 6*p(n). Factor c(t).
2*(t - 3)*(t + 1)
Let -28*x - 2/3*x**2 - 294 = 0. What is x?
-21
Let c(u) = -u**3 - 3*u**2 - 5*u + 12. Let s be c(-7). Let z = -1698/7 + s. Let -z*y**3 + 0 + 0*y - 3/7*y**2 = 0. What is y?
-1, 0
Factor -92*j**2 + 138*j**3 - 68*j**3 + 92 - 72*j**3 + 2*j.
-2*(j - 1)*(j + 1)*(j + 46)
Let h(q) = 11*q**4 - 22*q**3 + 83*q**2 - 8*q. Let j(y) = 7*y**4 - 15*y**3 + 55*y**2 - 5*y. Let g(u) = -5*h(u) + 8*j(u). Suppose g(b) = 0. What is b?
0, 5
Suppose 22*m = 21*m + 3. Find k such that -5*k + 6*k**m + 2*k - k**3 - 2*k**3 = 0.
-1, 0, 1
Let n(a) be the first derivative of a**7/1470 + a**6/210 + a**5/70 + a**4/42 + 3*a**3 + 12. Let r(o) be the third derivative of n(o). Factor r(z).
4*(z + 1)**3/7
Let p(v) be the third derivative of -v**8/560 + 11*v**7/7 - 605*v**6 + 133100*v**5 - 18301250*v**4 + 1610510000*v**3 + 53*v**2 + 1. Factor p(o).
-3*(o - 110)**5/5
Suppose -2358 = 4*d + 2*d. Let c = -1169/3 - d. Determine r, given that 2*r**3 + 2/3*r - 10/3*r**4 + c*r**2 + 0 - 8/3*r**5 = 0.
-1, -1/4, 0, 1
Determine c, given that 8*c**4 + 123*c**2 - 27*c**2 - 4*c**5 + 80*c**3 - 119818*c + 119818*c = 0.
-2, 0, 6
Let u(v) be the first derivative of -v**5/30 - 5*v**4/2 - 93*v**3/2 + 961*v**2/6 - 149. Determine r, given that u(r) = 0.
-31, 0, 2
Suppose 1 = -2*g - 5*c + 3, 0 = 3*g + 4*c - 3. Let z be g/(-3) + 30/45. Factor 0 - v**2 - z*v**3 - 2/3*v.
-v*(v + 1)*(v + 2)/3
Suppose -5*j - 21 = -3*f, -f + 3*j + 0*j = -11. Let s = f - -1. Factor -2/5*n**s - 2/5 + 2/5*n + 2/5*n**2.
-2*(n - 1)**2*(n + 1)/5
Let a(m) be the first derivative of -m**5/10 + 23*m**4/8 + m**3/6 - 23*m**2/4 + 335. Factor a(f).
-f*(f - 23)*(f - 1)*(f + 1)/2
Let n be 1 + (-31)/(-4) + -2. Let d be (-5)/6*(-342)/190. Find b, given that d*b + 21/4*b**3 + 0 - n*b**2 = 0.
0, 2/7, 1
What is m in 5316*m + 1910*m**3 - 1896*m**2 + 1176 + 9942*m**2 + 2221*m**3 + 81*m**4 = 0?
-49, -2/3
Let j(q) be the second derivative of -q**4/4 - 31*q**3 - 183*q**2/2 + 506*q. Factor j(t).
-3*(t + 1)*(t + 61)
Let f be 2 - (3 - -2) - -3. Let g be (f + 0 + 3)/1. Find i, given that -15*i**4 - 13*i**3 - 15*i - 3*i**5 - 30*i**2 - 16*i**g - i**3 - 3 = 0.
-1
Let o(c) = c**3 + 8*c**2 - 1. Let a be o(-5). Factor 2*h**3 - a*h**2 + 26*h**2 - 144*h - 6*h**3.
-4*h*(h + 6)**2
Suppose 3*g + 1 = g + 5. Factor 15/2*z + 3 - 21/2*z**g.
-3*(z - 1)*(7*z + 2)/2
Let l(u) be the third derivative of -u**8/84 - 2*u**7/105 + u**6/30 + u**5/15 + 37*u**2 - 1. Factor l(v).
-4*v**2*(v - 1)*(v + 1)**2
Let m(n) = -70*n**3 - 143*n**2 - 78*n + 3. Let t(a) = a**3 - 4*a + 1. Let w(l) = -3*m(l) + 6*t(l). Let w(z) = 0. Calculate z.
-1, 1/72
Let l(b) be the second derivative of 126/5*b**3 + 0 + 343/100*b**5 - 108/5*b**2 - 17*b - 147/10*b**4. Suppose l(n) = 0. What is n?
6/7
Let q(f) = f**3 + 16*f**2 + 22*f - 82. Let i be q(-14). Determine c so that 0 + 1/4*c**3 + 1/2*c**4 - 1/2*c**i + 0*c - 1/4*c**5 = 0.
-1, 0, 1, 2
Determine p so that 16*p + 2*p - 40*p**5 - 3*p**3 + 25*p**5 - 51*p**4 + 51*p**2 = 0.
-3, -1, -2/5, 0, 1
Let u(c) = 25*c**3 + 89*c**2 + 23*c - 45. Let y(v) = v**2 + 2*v. Let i(l) = -u(l) + 4*y(l). Solve i(q) = 0.
-3, -1, 3/5
Suppose -6*p = -22 + 4. Let s(f) be the third derivative of -1/3*f**p + 0 + 0*f + 1/8*f**4 - 3*f**2 - 1/60*f**5. Factor s(n).
-(n - 2)*(n - 1)
Suppose 23*q + 8*q**5 + 1 - 10*q**3 - 12*q - 9*q**5 + 5 - 6*q**4 = 0. Calculate q.
-3, -2, -1, 1
Suppose -4*p = -0 + 16, -3*h - 17*p = 53. Factor 0*r**2 + 2/7*r + 0 - 4/7*r**3 + 2/7*r**h + 0*r**4.
2*r*(r - 1)**2*(r + 1)**2/7
Let u(b) be the third derivative of b**5/20 - 15*b**4/8 - 3*b**2 - 3. Suppose u(t) = 0. What is t?
0, 15
Let c(j) be the first derivative of -12*j**5/5 - 10*j**4 - 12*j**3 - 4*j**2 + 3. Factor c(b).
-4*b*(b + 1)*(b + 2)*(3*b + 1)
Determine s, given that -4/9*s**2 - 10/9*s**3 - 2/9*s**5 + 0*s + 0 - 8/9*s**4 = 0.
-2, -1, 0
Suppose 35*u + 35*u - 88*u + 3*u**4 - 21*u**2 = 0. Calculate u.
-2, -1, 0, 3
Let u(c) be the third derivative of c**7/210 + 11*c**6/120 - 13*c**5/30 - 84*c**2 + 2*c. Suppose u(z) = 0. What is z?
-13, 0, 2
Factor 1/2*k**5 + 13/2*k - 20*k**2 - 8*k**4 + 0 + 21*k**3.
k*(k - 13)*(k - 1)**3/2
Let f(x) be the first derivative of x**5/100 - x**3/10 + 19*x**2/2 - 12. Let s(w) be the second derivative of f(w). Factor s(z).
3*(z - 1)*(z + 1)/5
Let h = -7408/15 - -494. Let k(d) be the first derivative of -2 - 1/5*d**2 - h*d**3 + 0*d. Factor k(s).
-2*s*(s + 1)/5
Suppose 7 = 4*u - 49. Determine x, given that -5 + 16 - u + 3*x**2 = 0.
-1, 1
Let x(c) = 13*c**2 + 542*c + 557. Let i(j) = 9*j**2 + 360*j + 371. Let v(d) = -7*i(d) + 5*x(d). Determine r so that v(r) = 0.
-94, -1
Let g(s) be the third derivative of 1/40