 = h*c(v) + 2*q(v). Determine y, given that a(y) = 0.
-8, 1
Let d(k) = 2*k**2 + 8*k - 8. Let c be d(-6). Let o be (c/(-2))/(445/(-178)). Determine b, given that -o - 4/5*b**2 + 4*b = 0.
1, 4
Suppose 0 = -60*n - 4 + 424. Suppose 40 = n*u + 12. Let 3/2*t**u - 3/2*t**2 + 3/4*t + 0*t**3 + 0 - 3/4*t**5 = 0. Calculate t.
-1, 0, 1
Let k(j) be the third derivative of j**7/1785 + 166*j**6/255 + 18481*j**5/85 + 54946*j**4/51 + 109561*j**3/51 + 8518*j**2. Solve k(x) = 0.
-331, -1
Let o(j) be the third derivative of j**6/660 - 7*j**5/165 - 7*j**4/132 + 40*j**3/3 + 36*j**2 + 81. Factor o(x).
2*(x - 11)*(x - 8)*(x + 5)/11
Suppose 36*a = -2*t + 33*a + 6, -2*a + 4 = 4*t. Let k(o) be the second derivative of 1/27*o**3 + 1/54*o**4 + t*o**2 - 34*o + 0. Let k(w) = 0. Calculate w.
-1, 0
Let i(b) be the first derivative of -b**3/2 + 9441*b**2/2 - 29710827*b/2 + 12877. Factor i(p).
-3*(p - 3147)**2/2
Let g(j) = -7*j**2 + 25*j + 51. Let w = -249 + 242. Let a(l) = 16*l**2 - 51*l - 103. Let y(i) = w*g(i) - 3*a(i). Factor y(m).
(m - 24)*(m + 2)
Solve -2*p - 44*p**2 + p**4 + 0 - 123/2*p**3 + 41/2*p**5 = 0 for p.
-1, -2/41, 0, 2
Let t(i) = 9*i**4 + 33*i**3 + 211*i**2 + 775*i + 996. Let m(c) = -c**4 - c**3 + c**2 + c - 3. Let b(k) = 40*m(k) + 5*t(k). Suppose b(v) = 0. What is v?
-9, -4, -3
Let y = -548731 + 548731. Factor h**4 + 1/3*h**5 + 0*h + h**3 + y + 1/3*h**2.
h**2*(h + 1)**3/3
Let p(u) be the first derivative of -u**4/8 - 1283*u**3/6 - 102720*u**2 + 206082*u - 5849. Factor p(d).
-(d - 1)*(d + 642)**2/2
Let v(k) be the third derivative of 22*k**2 + 55/192*k**4 + 3/64*k**6 - 3/16*k**3 + 0 + k - 29/160*k**5 - 1/420*k**7. Solve v(h) = 0 for h.
1/4, 1, 9
Let n be ((-43)/(1333/(-155)))/(((-4)/(-24))/((-2)/(-15))). Factor 1/6*o**n + 11/3*o**3 + 23/6 - 4*o**2 - 11/3*o.
(o - 1)**2*(o + 1)*(o + 23)/6
Let p be 2/(-3)*-1*(-99)/(-891). Let n(i) be the first derivative of 0*i - 14 - 1/9*i**4 - 2/45*i**5 + 0*i**2 - p*i**3. Factor n(h).
-2*h**2*(h + 1)**2/9
Let p = -1/166 - -339/1162. Suppose 1622 - 1616 = 3*g. Factor p*t**g + 0 + 8/7*t.
2*t*(t + 4)/7
Let j(a) be the second derivative of -a**5/18 - 17*a**4/27 + 103*a**3/27 + 44*a**2/3 - 614*a. Determine t so that j(t) = 0.
-44/5, -1, 3
Let d(y) = y - 5. Let t be d(7). Find m, given that 10985*m - 121574 + 4610*m - 1923*m + 402790 + 2552*m + 312*m**2 + t*m**3 = 0.
-52
Factor 3/5*h**2 - 33/5*h + 0.
3*h*(h - 11)/5
Let t(n) be the third derivative of n**5/180 - n**4/4 - 7*n**3/2 + 1404*n**2. Factor t(y).
(y - 21)*(y + 3)/3
Factor 98*x**2 + 8 - 2*x**4 + 34 + 60*x**3 + 6*x**4 + 58*x**2 + 148*x + 6.
4*(x + 1)**3*(x + 12)
Suppose 706 = 70*s + 76. Let h(p) be the third derivative of -s*p**2 - 5/6*p**4 + 0 - 7/120*p**6 + 4/3*p**3 + 1/210*p**7 + 3/10*p**5 + 0*p. Factor h(i).
(i - 2)**3*(i - 1)
Let k = 751 + -750. Let q(n) = -n**5 - n. Let u(c) = -2*c**3 - 2*c. Suppose -5*l - 6 = -2*l. Let v(f) = k*u(f) + l*q(f). Factor v(t).
2*t**3*(t - 1)*(t + 1)
Let g(a) be the third derivative of a**6/24 + 11*a**5/6 + 265*a**4/24 - 190*a**3/3 + 59*a**2 + 3*a. Solve g(r) = 0.
-19, -4, 1
Let i(z) = -6*z**2 - 9*z + 6. Let b(f) = -21*f**2 - 25 + 10*f**2 - 11 + 49 - 17*f. Let k(s) = -3*b(s) + 5*i(s). Factor k(t).
3*(t - 1)*(t + 3)
Let m(q) be the third derivative of -q**6/40 - 51*q**5/20 - 435*q**4/8 - 1025*q**3/2 - 2*q**2 - 529*q. Let m(n) = 0. Calculate n.
-41, -5
Let i be ((-2)/51)/(1/(-9)). Let v = -3062/9 - -52072/153. Factor 4/17*p + i - v*p**2.
-2*(p - 3)*(p + 1)/17
Let k(a) be the first derivative of -a**5/90 - 32*a**4/27 - 7*a**3/3 + 265*a + 63. Let m(p) be the first derivative of k(p). Suppose m(h) = 0. What is h?
-63, -1, 0
Let b(h) = 21*h**2 + 153*h + 270. Let q(f) = -f**2 - 38*f + 37. Let o be q(1). Let m(i) = -3*i**2 - 22*i - 39. Let z(p) = o*b(p) - 15*m(p). Factor z(t).
3*(t + 3)*(t + 5)
Let y be 121/20 + (-151)/3020. Let q(x) be the first derivative of 2/3*x + 8/9*x**3 + 2 + 1/6*x**4 - 1/18*x**y + 7/6*x**2 - 2/15*x**5. Factor q(v).
-(v - 2)*(v + 1)**4/3
Let f = -118 - -79. Let j be (-1)/(f/45 + (-6)/(-9)). Solve -4*i + j*i**4 + 3*i**3 - 2*i**4 - 4*i**4 = 0 for i.
-1, 0, 2
Factor -7/2*y**3 - 7/2*y**2 + 1/2*y**5 + 3/2*y**4 - 4 + 9*y.
(y - 1)**3*(y + 2)*(y + 4)/2
Suppose 2*z - 5 - 4 = j, 0 = 2*j + 6. Let q be -3 + 28/12 + z + -1. Factor 0 - q*f**2 + 8*f.
-4*f*(f - 6)/3
Let y(q) be the second derivative of -q**6/30 + q**5/20 + 7*q**4/4 - 15*q**3/2 - 2*q + 205. Determine m, given that y(m) = 0.
-5, 0, 3
Suppose 2*o - 50 = -2*d, -4*o - 70 = -4*d - 2*o. Suppose -4*l = -0*l - d. Factor 5*b**4 - 14*b**3 - 93*b**l + 98*b**5 + 4*b**3.
5*b**3*(b - 1)*(b + 2)
Let y(g) be the first derivative of -2*g**3/21 + 80*g**2/7 + 850*g/7 - 199. Determine k so that y(k) = 0.
-5, 85
Let u(j) be the second derivative of 0*j**2 - 5/12*j**4 + 29*j - 5*j**3 - 2. What is c in u(c) = 0?
-6, 0
Let f(k) be the third derivative of -k**6/960 + k**5/480 + 13*k**4/96 + k**3/2 + 2*k**2 - 1128. Factor f(o).
-(o - 6)*(o + 1)*(o + 4)/8
Find i, given that -7/4*i**5 + 13/4*i**2 + 5/2*i - 63/4*i**3 + 0 + 47/4*i**4 = 0.
-2/7, 0, 1, 5
Let z(w) be the first derivative of -6 - 13/2*w**2 + 1/20*w**5 + 1/8*w**4 + 0*w + 0*w**3. Let r(s) be the second derivative of z(s). Factor r(u).
3*u*(u + 1)
Let 8868*n**3 + 222*n**2 + 226*n**4 - 4498*n**3 - 4816*n**3 - 2*n**5 = 0. What is n?
0, 1, 111
Let s(o) be the third derivative of 55*o**8/112 - 109*o**7/35 + 161*o**6/20 - 52*o**5/5 + 47*o**4/8 + o**3 + 40*o**2 - 6*o. What is g in s(g) = 0?
-2/55, 1
Let s(z) be the second derivative of z**6/100 + z**5/30 - z**4/20 - z**3/3 - 67*z**2/2 - z - 117. Let v(t) be the first derivative of s(t). Factor v(i).
2*(i - 1)*(i + 1)*(3*i + 5)/5
Let v(t) be the third derivative of -t**6/480 + 11*t**5/240 + t**4/96 - 11*t**3/24 - 932*t**2. Factor v(d).
-(d - 11)*(d - 1)*(d + 1)/4
Let f(b) = 9*b**2 - 30*b - 19. Suppose 0 = -61*s + 52*s - 63. Let v(o) = 5*o**2 - 16*o - 8. Let q(m) = s*v(m) + 4*f(m). What is t in q(t) = 0?
-2, 10
Let q(v) be the second derivative of 11*v**5/130 + 81*v**4/13 + 1804*v**3/13 + 968*v**2/13 + 887*v. Let q(b) = 0. Calculate b.
-22, -2/11
Let z = -3852 - -11678/3. Let r = -190/3 - -64. Factor 24 + 56*a + r*a**4 + z*a**2 + 28/3*a**3.
2*(a + 1)**2*(a + 6)**2/3
Let y(g) be the second derivative of -g**5/7 - 37*g**4/7 + 1848*g. Suppose y(x) = 0. What is x?
-111/5, 0
Let 1/2*q**2 + 0 - 30*q = 0. Calculate q.
0, 60
Let u(s) be the third derivative of -1/200*s**6 + 0*s + 0 + 0*s**3 - 60*s**2 - 1/120*s**4 + 1/1050*s**7 + 1/100*s**5. Let u(y) = 0. Calculate y.
0, 1
Suppose 5*x - 2*w - 288 = 0, 2*w + 12 = -w. Suppose 51*l = x*l - 15. Factor -22*o**3 - 5*o**4 - 2 + 2 - 3*o**l.
-5*o**3*(o + 5)
Let x(a) be the second derivative of -a**7/5040 + a**6/80 - 27*a**5/80 - a**4/4 + a**2/2 + 6*a - 2. Let j(m) be the third derivative of x(m). Factor j(l).
-(l - 9)**2/2
Let -2/3*d**2 + 4336/3*d - 2350112/3 = 0. What is d?
1084
Let p(y) be the second derivative of 132651*y**6/20 - 23409*y**5/40 + 153*y**4/8 - y**3/4 - 577*y + 4. Let p(b) = 0. What is b?
0, 1/51
Let o(g) = 2*g**3 + 8*g**2 - 3*g + 21. Let c be o(-5). Let h be (-2)/c - 39/(-21). Find a such that 8/3 - 2/3*a**h + 2/3*a**3 - 8/3*a = 0.
-2, 1, 2
Suppose 5*w - 8 = 2*u + 15, 3*u - 3*w = -12. Let d(c) = -8*c**2 + 4*c + 16. Let t(k) = k**2 - 2*k. Let v(p) = u*d(p) + 12*t(p). Suppose v(s) = 0. What is s?
1, 4
Let s(a) = 13*a**3 - 732*a**2 - 2969*a - 2931. Let v(n) = -11*n**3 + 732*n**2 + 2968*n + 2940. Let u(d) = -4*s(d) - 5*v(d). Determine k, given that u(k) = 0.
-2, 248
Suppose 0 = -4*q + q + 9. Let -5*g**3 + 32*g + 5*g**3 + 24*g**2 + 3*g**4 - 8*g**3 - 7*g**4 - 4*g**q = 0. Calculate g.
-4, -1, 0, 2
Let i(h) be the third derivative of h**8/24 - 5*h**7/7 - 163*h**6/15 - 776*h**5/15 - 112*h**4 - 272*h**3/3 - 1117*h**2. Suppose i(x) = 0. Calculate x.
-2, -2/7, 17
Let d(o) be the second derivative of o**6/75 + 3*o**5/2 + 481*o**4/10 + 1369*o**3/15 + 3*o + 195. Factor d(x).
2*x*(x + 1)*(x + 37)**2/5
Let v(l) = 123*l**2 - 4266*l - 1155. Let x(k) = -74*k**2 + 2560*k + 694. Let c(i) = -10*v(i) - 17*x(i). Factor c(f).
4*(f - 31)*(7*f + 2)
Let a(y) = y**2 - 136*y - 258. Let x(n) = n**2 - 134*n - 260. Let w(s) = 4*a(s) - 6*x(s). Factor w(q).
-2*(q - 132)*(q + 2)
Let t(p) be the first derivative of 5*p**4/24 + 95*p**3/18 - 250*p**2/3 + 360*p + 185. Factor t(l).
5*(l - 4)**