vative of 11*h**4/2 - 8*h**3/3 - h**2 + 164*h - 3. What is o in a(o) = 0?
-1/11, 1/3
Factor 20734*b**3 - 20739*b**3 + 675*b + 736 + 0 + 90*b**2 + 344.
-5*(b - 24)*(b + 3)**2
Let t(z) be the first derivative of 27 + 1/8*z**4 - 5/6*z**3 + 3/2*z**2 + 0*z. Find w such that t(w) = 0.
0, 2, 3
Let t(m) be the third derivative of -m**5/60 + 283*m**4/24 + 142*m**3/3 - 3*m**2 + 380*m. Solve t(j) = 0 for j.
-1, 284
Let w = -11 - -13. Suppose -6*u + w*u + 20 = 0. Let m(s) = -2*s**2 + 12*s + 14. Let g(o) = -3*o**2 + 12*o + 13. Let t(q) = u*m(q) - 4*g(q). Factor t(h).
2*(h + 3)**2
Let v(h) be the second derivative of -19*h**6/65 + 44*h**5/65 - 35*h**4/78 + 4*h**3/39 - 903*h - 3. Suppose v(q) = 0. What is q?
0, 4/19, 1/3, 1
Suppose -3*n + 21 = -3*g, 0 = -5*n + g - 6*g - 5. Suppose -9*x - 5*x**4 + 5526*x**2 - 5520*x**2 - x**4 + 8*x**n + x**5 - x**5 + x**5 = 0. What is x?
-1, 0, 1, 3
Determine i so that -1794/5*i + 3/5*i**2 + 268203/5 = 0.
299
Let u(g) be the second derivative of -g**5/120 + 511*g**4/18 + 4091*g**3/36 + 341*g**2/2 - 22*g - 194. Let u(k) = 0. Calculate k.
-1, 2046
Solve 3356341 + 5159553 - 10624*s + 1754198 + 3973728 - 135148 + 2*s**2 = 0.
2656
Let r(f) be the first derivative of -f**6/12 + 31*f**5/10 - 207*f**4/8 - 203*f**3/6 + 686*f**2 + 2058*f - 1026. Solve r(u) = 0.
-2, 7, 21
Suppose -228 = -6*x + 7752. Let o = x - 1328. Factor 16*w + 1/2*w**3 + 5*w**o + 16.
(w + 2)*(w + 4)**2/2
Let l(y) = -y**2. Let z = 15 - 43. Let o(t) = 16*t**2 + 36*t - 38. Let p(m) = z*l(m) - 2*o(m). Factor p(w).
-4*(w - 1)*(w + 19)
Let y(q) be the second derivative of -1/48*q**4 + 0 + 3/2*q**2 - 48*q - 1/24*q**3. Factor y(a).
-(a - 3)*(a + 4)/4
Suppose -10*s = -18*s + 2368. Let 8*a**2 + 15*a**3 + a**5 + a**2 + s*a**4 - 289*a**4 = 0. Calculate a.
-3, -1, 0
Let c(v) be the third derivative of -v**5/110 + 217*v**4/11 - 2595*v**3/11 - 4*v**2 + 780. Factor c(r).
-6*(r - 865)*(r - 3)/11
Let 2500*l - 840 - 2745/2*l**2 + 270*l**3 - 35/2*l**4 = 0. Calculate l.
3/7, 4, 7
Let y(n) be the third derivative of -n**5/140 + 3*n**4/4 - 40*n**2 - 3*n. Factor y(h).
-3*h*(h - 42)/7
Let -87*f**2 + 1/4*f**3 + 7740*f - 29584 = 0. Calculate f.
4, 172
Let i(x) be the first derivative of -x**6/21 - 30*x**5/7 - 937*x**4/7 - 31100*x**3/21 + 1875*x**2/7 + 31250*x/7 - 1427. Determine d, given that i(d) = 0.
-25, -1, 1
Let s(l) be the second derivative of -l**5/15 - 13*l**4/3 + 428*l**3/9 - 176*l**2 + 7949*l. Factor s(b).
-4*(b - 3)*(b - 2)*(b + 44)/3
Let -13*i**2 - 5/2*i**3 - 8 - 18*i + 1/4*i**5 + 3/4*i**4 = 0. What is i?
-2, -1, 4
Let i be 124/(-2666) - (-1034)/43. Determine y so that 27/5*y**2 - i*y + 21/5*y**3 - 36/5 = 0.
-3, -2/7, 2
Let t(s) be the third derivative of s**6/480 + 5*s**5/48 + 3*s**4/16 - 6*s**3 + 15106*s**2. Factor t(u).
(u - 2)*(u + 3)*(u + 24)/4
Suppose 79/4*t**2 + 0 + 77/2*t + 1/4*t**3 = 0. What is t?
-77, -2, 0
Factor -35610*r - 104882 - 171511*r + 20689*r**2 + 48882*r - 461*r**3 - 74506*r**2 - r**4.
-(r + 1)*(r + 2)*(r + 229)**2
Let v(a) be the first derivative of 51*a - 37/2*a**2 - 1/12*a**4 + 23/9*a**3 + 97. Let v(n) = 0. Calculate n.
3, 17
Let j(z) be the second derivative of 5*z**5/16 + 265*z**4/48 + 35*z**3/6 - 25*z**2/2 - 7450*z. What is o in j(o) = 0?
-10, -1, 2/5
Let i(q) = q**3 + 13*q**2 + 14*q + 36. Let d be i(-12). Let o(m) be the second derivative of 9*m - d*m**2 + 46/3*m**3 + 0 - 7/3*m**4. Factor o(r).
-4*(r - 3)*(7*r - 2)
Let p(r) be the second derivative of 9 + 729/7*r**2 - 2*r - 18/7*r**3 + 1/42*r**4. Factor p(f).
2*(f - 27)**2/7
Suppose 49*f = 56*f - 14. Factor -633 - 62*t - 2149 - 142*t - 3*t**f - 686.
-3*(t + 34)**2
Let f = -15625 - -15630. Let x(s) be the first derivative of 40 + f*s**3 - 5*s**2 + 5/4*s**4 + 5/6*s**6 - 3*s**5 + 0*s. Factor x(y).
5*y*(y - 2)*(y - 1)**2*(y + 1)
Let v = -11040 + 132485/12. Let w(r) be the third derivative of 23*r**2 + 0 + 0*r - v*r**4 - 1/12*r**5 + 5/2*r**3. Factor w(f).
-5*(f - 1)*(f + 3)
Let c(p) = p**2 - 2. Let h be c(2). Let k be 1204/140 - 28/(-42)*(-27)/6. Determine a, given that -18/5*a + k + 2/5*a**h = 0.
2, 7
Suppose -5*s + 77*t = 75*t - 21, -5*t = -s - 5. Let u(n) be the first derivative of -3/10*n**s - 3/2*n + n**3 + 0*n**4 - 10 + 0*n**2. Factor u(w).
-3*(w - 1)**2*(w + 1)**2/2
Find n such that 199/5*n**3 + 143/5*n**2 - 40*n + 53/5*n**4 + 1/5*n**5 - 196/5 = 0.
-49, -2, -1, 1
Let f(z) = 3*z**4 - 40*z**3 - 56*z**2 + 38*z + 45. Let y(k) = 5*k**4 - 80*k**3 - 115*k**2 + 75*k + 90. Let s(n) = -5*f(n) + 2*y(n). What is x in s(x) = 0?
-1, 1, 9
Let z(l) be the third derivative of -19/84*l**4 + 1/735*l**7 + 1/588*l**8 - 19/420*l**6 + 211*l**2 + 31/210*l**5 + 0*l + 4/21*l**3 + 0. Solve z(k) = 0 for k.
-4, 1/2, 1
Let x be 4/4*-3 + 6. Suppose x*c - 6 = 303. Factor 12*s - c*s**2 + 100*s**2 - 3*s.
-3*s*(s - 3)
Let m = 5237/543270 - 3/25870. Let v(q) be the second derivative of -1/140*q**5 + 0 - m*q**6 + q + 0*q**3 + 1/294*q**7 + 0*q**2 + 1/42*q**4. Solve v(d) = 0.
-1, 0, 1, 2
Let w(j) = 286*j**2 - 44*j + 302. Let z(a) = -101*a**2 + 15*a - 100. Let h(u) = 6*w(u) + 17*z(u). Determine c, given that h(c) = 0.
-16, 7
Determine x, given that -12/11*x**2 + 340/11 - 86/11*x = 0.
-10, 17/6
Let w(x) = -55*x**4 + 100*x**3 - 1515*x**2 + 7950*x - 14580. Let a(r) = r**4 + r**3 - 3*r**2 + 3*r. Let f(p) = -50*a(p) - w(p). Factor f(i).
5*(i - 9)**2*(i - 6)**2
Suppose -z + 5*o + 35 = 0, 5*o = -2*z - 6 + 1. Factor -5*l**5 - 1 + 95*l - 1300*l**3 + 31 - z*l**4 + 100*l**2 + 1330*l**3.
-5*(l - 3)*(l + 1)**3*(l + 2)
Solve 1/3*j**3 - 681*j - 100/3*j**2 - 3186 = 0 for j.
-9, 118
Let h(j) = j**3 - j**2 - 9*j - 3. Let x be h(-2). Suppose 0 = 4*m + 5*r + 17, x*m + 7 = 2*r + 23. Factor 1/5 - 1/5*s**m + 0*s.
-(s - 1)*(s + 1)/5
Let p(n) be the first derivative of 98 - 9/40*n**5 + 1/16*n**6 - 9/4*n**2 + 3/2*n + 11/8*n**3 - 3/32*n**4. Factor p(c).
3*(c - 2)*(c - 1)**3*(c + 2)/8
Let n(f) be the second derivative of f**6/90 + 22*f**5/15 + 47*f**4/4 + 334*f**3/9 + 166*f**2/3 - 2282*f. Factor n(u).
(u + 1)*(u + 2)**2*(u + 83)/3
Let i(u) = -33*u**2 + 180*u + 52. Let s(k) = -6*k**2 + k + 2. Let h(z) = i(z) - 7*s(z). Suppose h(o) = 0. What is o?
-19, -2/9
Let z = 1111 + -1107. Let y(n) be the third derivative of 0*n**z + 1/540*n**6 + 0 - 11*n**2 + 0*n**3 + 0*n - 1/90*n**5. Factor y(m).
2*m**2*(m - 3)/9
Let x be (-78)/(-182) - (-50)/14. What is w in 17*w**5 + 42*w**3 + 5*w**5 + 16*w**x - 20*w**5 + 36*w**2 = 0?
-3, -2, 0
Suppose 1/6*b**3 - 91/6*b**2 + 89/3*b + 0 = 0. Calculate b.
0, 2, 89
Let j(w) = 36*w**2 - 108*w - 28. Let z = -38 - -10. Let g(p) = -4*p**2 + 12*p + 3. Let v(n) = z*g(n) - 3*j(n). Let v(s) = 0. What is s?
0, 3
Suppose 604*h - 599*h = -g + 14, h = 3*g - 10. Let z(s) be the first derivative of 1/3*s**3 + h*s**2 - 3 + 0*s. Factor z(t).
t*(t + 4)
Let s(k) be the third derivative of 0*k**5 - 1/24*k**6 + 0*k**3 + 0*k - 5/336*k**8 - 1/21*k**7 + 4 + 7*k**2 + 0*k**4. Let s(o) = 0. What is o?
-1, 0
Suppose 15 = 3*d + 5*w, -15785*d + 15780*d + 25 = 11*w. Factor -192/5*k**2 - 6/5*k**d - 48*k**3 + 0 + 256/5*k - 68/5*k**4.
-2*k*(k + 4)**3*(3*k - 2)/5
Let t be (480/576*224/20)/2. Solve 19/3*r**4 + 0*r - t*r**3 + 0 + r**2 - 8/3*r**5 = 0 for r.
0, 3/8, 1
Let h be 0 + (329095/(-366))/(-65) + 1/(-6). Suppose 1/3*j**3 + 440/3*j - h*j**2 - 400/3 = 0. What is j?
1, 20
Suppose 4435 = -2*o - c, 12*o - 6655 = 15*o + 4*c. Let a = 2221 + o. Factor 1/2*k**a - 1/2*k + 0 + 3/2*k**2 - 3/2*k**3.
k*(k - 1)**3/2
Let d = 10621 + -10621. Determine u, given that d*u + 6/13*u**3 + 2/13*u**4 - 20/13*u**2 + 0 = 0.
-5, 0, 2
Let v = 1164 - 945. Let a = v + -656/3. What is n in -7/6*n**4 + 2/3*n**5 - 1/3*n - 1/6 + 4/3*n**2 - a*n**3 = 0?
-1, -1/4, 1
Factor -45/7*d**4 - 144/7*d**3 - 132/7*d**2 - 3/7*d**5 + 0 + 0*d.
-3*d**2*(d + 2)**2*(d + 11)/7
Let c(p) be the first derivative of -13/3*p**3 + 0*p + 1/12*p**4 - 1/360*p**6 + 1 + 0*p**2 - 1/120*p**5. Let b(i) be the third derivative of c(i). Factor b(h).
-(h - 1)*(h + 2)
Let y be (2/(-16) - (-989)/2024) + ((-30)/(-55))/(-3). Suppose -14/11*q**4 + 100/11*q**2 + 42/11 + 12/11*q**3 + 118/11*q - y*q**5 = 0. Calculate q.
-7, -1, 3
Let k = 1902 + -1900. Let y(f) be the third derivative of -1/12*f**3 + 0*f - 1/120*f**5 + 0 + 11*f**k + 1/24*f**4. Let y(m) = 0. What is m?
1
Determine i, given that -2/5*i**3 - 156 + 156*i**2 + 2/5*i = 0.
-1, 1, 390
Let x(