ond derivative of 1/2*w**4 - 19*w - 4*w**2 - 1/10*w**5 + 0 + 0*w**3. Factor o(i).
-2*(i - 2)**2*(i + 1)
Let v(o) = o**2 - 954*o + 25257. Let g(d) = -318*d + 8418. Let c(l) = -8*g(l) + 3*v(l). Determine k, given that c(k) = 0.
53
Suppose 3*s = g + 13, -5*g - 5 = -15. What is j in -9*j - 6*j**2 + j**5 - 3*j**5 + 6 + 12*j**3 - j**s = 0?
-2, -1, 1
Let a(t) be the third derivative of -t**8/840 + t**7/420 + t**6/90 + 7*t**3/2 - 13*t**2. Let o(z) be the first derivative of a(z). Solve o(m) = 0.
-1, 0, 2
Let g(z) = -7 - 38*z + 3 + 40*z. Let t be g(2). What is v in 0*v + 2*v**2 - 8/3*v**3 + t + 2/3*v**4 = 0?
0, 1, 3
Let n(v) = v**2 - 12*v + 13. Let i be n(12). Suppose 3*z + 4*g - i = 0, 4*g - g = z. Factor 6*h**3 + 2 + 2*h**3 - 4*h**2 - 10*h**z + 2 + 2*h.
-2*(h - 1)*(h + 1)*(h + 2)
Let h(w) = -30*w**3 - 15*w**2 + 105*w - 85. Let b(n) = n**3 - n + 1. Let z(a) = -25*b(a) - h(a). Determine d, given that z(d) = 0.
-6, 1, 2
Let t be -2 + 0 + 0 - 16209/(-27). Let s = -589 + t. What is z in -76/3*z**2 - s*z**3 + 136/3*z - 32/3 = 0?
-4, 2/7, 1
Let v(o) be the second derivative of -o**4/66 - o**3/33 + 12*o**2/11 + 6*o - 17. Solve v(z) = 0.
-4, 3
Let u(z) be the second derivative of 72/5*z**6 + 22*z + 0*z**2 + 0 + 18*z**5 + 18/7*z**7 + 2*z**3 + 28/3*z**4. Find j, given that u(j) = 0.
-3, -1/3, 0
Let c(k) be the second derivative of k**6/140 - k**5/30 + k**4/21 + 3*k**2 - 43*k. Let d(w) be the first derivative of c(w). Factor d(q).
2*q*(q - 1)*(3*q - 4)/7
Let n(y) = -5*y**3 - 17*y**2 + 11*y + 11. Suppose 0 = -5*q - 20, 3*x - 2*q - 5 = -0. Let f(w) = -w + 1. Let a(r) = x*n(r) + 3*f(r). Factor a(d).
(d - 1)*(d + 4)*(5*d + 2)
Let f be (150/400 + (-14)/80)*3. Suppose 1/5*r**2 - f + 2/5*r = 0. What is r?
-3, 1
Suppose 119 = -100*d + 519. Find a such that 46/15*a**3 + 0 + 8/15*a - 14/15*a**d - 8/3*a**2 = 0.
0, 2/7, 1, 2
Let z(n) be the third derivative of -n**8/1176 - n**7/245 + n**6/210 + n**5/35 - n**4/84 - n**3/7 + 157*n**2. What is r in z(r) = 0?
-3, -1, 1
Suppose 4*k = 97 - 21. Let i = k + -16. Factor -i*r**3 - 3*r**4 + 4*r**2 - r**2 + r + 2*r.
-3*r*(r - 1)*(r + 1)**2
Let j(l) = -3*l**3 + 18*l**2 + 127*l - 134. Let m(r) = -14*r**3 + 89*r**2 + 636*r - 667. Let x(o) = -11*j(o) + 2*m(o). Factor x(h).
5*(h - 7)*(h - 1)*(h + 4)
Find g, given that 5*g + 1/5*g**2 + 24/5 = 0.
-24, -1
Factor 0 + 78*k**2 + 87/4*k**3 + 3/4*k**4 + 75*k.
3*k*(k + 2)**2*(k + 25)/4
Solve -71*y + 4*y**4 - 323 - 253*y - 36*y**2 - 109 + 20*y**3 = 0.
-3, 4
Let c be 136/51 + (-2)/3. Suppose c*s = -d + 11, -d - 3*d = 4*s - 28. Factor 14*f**2 + 22*f - 6*f**4 - 50*f + 24*f - 4*f**d.
-2*f*(f - 1)*(f + 2)*(3*f - 1)
Let f(n) be the first derivative of 0*n**2 - 2 + 0*n**4 + 0*n**5 + 0*n + 1/720*n**6 + 14/3*n**3. Let g(b) be the third derivative of f(b). Factor g(q).
q**2/2
Let p = 1619381 - 14588804/9. Let g = p + 1599. Solve -2/9*w**5 + g*w - 14/9*w**3 - 8/9 + 10/9*w**4 - 2/9*w**2 = 0.
-1, 1, 2
Let h(n) = 17*n**3 + 769*n**2 + 5959*n - 1529. Let m(s) = 8*s**3 + 385*s**2 + 2980*s - 764. Let p(d) = 4*h(d) - 7*m(d). Solve p(a) = 0 for a.
-16, 1/4
Let c(r) be the first derivative of 6*r**5/5 + r**4/4 + 5*r**3/3 + 5*r + 6. Let g(a) = -5*a**4 - a**3 - 4*a**2 - 4. Let u(y) = -4*c(y) - 5*g(y). Factor u(w).
w**3*(w + 1)
Suppose -549261*f**2 - 204*f + 549256*f**2 - 141*f = 0. What is f?
-69, 0
Let a(g) be the first derivative of -9*g**4/4 - 4*g**3 + 51*g**2/2 + 18*g + 200. Find h, given that a(h) = 0.
-3, -1/3, 2
Let z(u) be the first derivative of 5*u**5 + 65*u**4/4 - 10*u**3 - 50*u**2 + 40*u + 401. Factor z(n).
5*(n - 1)*(n + 2)**2*(5*n - 2)
Suppose 8*m - 1/6*m**2 - 47/6 = 0. Calculate m.
1, 47
Let j(w) = -4*w**3 - 4*w**2 - 5*w + 4. Let r(z) = z**3 + z**2 + z - 1. Let p(v) = v. Let b be p(9). Let x(c) = b*r(c) + 2*j(c). Let x(a) = 0. What is a?
-1, 1
Let t(p) be the second derivative of p**7/42 + p**6/30 + 250*p. Factor t(l).
l**4*(l + 1)
Let y be (3/(-27)*6)/((-2)/(-30)). Let l be ((-2 + 4 - 4)/y)/1. Factor 0 + 7/5*t**3 + l*t - 3/5*t**4 - t**2.
-t*(t - 1)**2*(3*t - 1)/5
Let s be -6 + 4 + -1 - 2*-3. Suppose -4*f - 3*t = 9, 5*f - t = f + s. Factor 2/3*i**2 + 0*i + f + 0*i**3 - 2/3*i**4.
-2*i**2*(i - 1)*(i + 1)/3
Let c(g) be the first derivative of -g**4/6 - 10*g**3/3 - 25*g**2 + 3*g + 4. Let l(i) be the first derivative of c(i). Determine z so that l(z) = 0.
-5
Let 22/21*d + 20/21*d**2 - 4/7 - 2/3*d**3 = 0. What is d?
-1, 3/7, 2
Let q(d) be the first derivative of 0*d**3 + 3 + 0*d**2 + 1/32*d**4 + 0*d. What is y in q(y) = 0?
0
Suppose 4*o + 2*d = -490, -4*o + 3*d - 508 = -d. Let z be 4/22 - o/44. Find q such that 4*q**3 + 15 + 2*q**3 - z*q**4 - 15 - 3*q**5 = 0.
-2, 0, 1
Let n(b) = -2*b**2 + 50*b - 1. Let c(f) = f**2 - 3*f + 1. Let p(u) = -2*c(u) - 2*n(u). Let p(v) = 0. What is v?
0, 47
Let n(o) be the second derivative of -o**10/22680 + o**8/5040 + 7*o**4/3 + 13*o. Let q(z) be the third derivative of n(z). Factor q(b).
-4*b**3*(b - 1)*(b + 1)/3
Suppose 5*q + 5*t = 4*t - 84, 0 = q - 5*t + 22. Let h(u) = 4*u**2 + 2. Let i(k) = 11*k**2 + 6. Let l(y) = q*h(y) + 6*i(y). Suppose l(n) = 0. Calculate n.
-1, 1
Suppose -2*l - 20 = -4*x, 354*l + 12 = 3*x + 353*l. Suppose 1/8*j**x - 3/4*j + 1/8*j**3 + 0 = 0. What is j?
-3, 0, 2
Suppose -14/9*v - 11/9*v**2 + 8/3 + 1/9*v**3 = 0. What is v?
-2, 1, 12
Let t(q) = q**4 - 10*q**3 + 156*q**2 - 130*q - 297. Let v(w) = 12*w**3 - 156*w**2 + 129*w + 297. Let k(f) = -3*t(f) - 4*v(f). Factor k(y).
-3*(y - 3)**2*(y + 1)*(y + 11)
Let z(n) be the third derivative of n**5/270 - 85*n**4/54 + 7225*n**3/27 + 220*n**2. Factor z(v).
2*(v - 85)**2/9
Let u(w) = 2*w**2 + 6*w + 6. Let z(t) = 1. Let q(n) = u(n) - 2*z(n). Factor q(v).
2*(v + 1)*(v + 2)
Let o(h) be the second derivative of 0 + 10*h - 4/21*h**4 + 16/21*h**3 + 1/70*h**5 + 0*h**2. Determine g so that o(g) = 0.
0, 4
Let b(k) = -3*k**3 + 12*k**2 - 70*k + 283. Let o be b(4). Factor 0 + 0*f - 1/5*f**4 + 0*f**o + 4/5*f**2.
-f**2*(f - 2)*(f + 2)/5
Let h(z) = -3*z**4 + 12*z**3 - 10*z**2 - 12*z + 5. Let x(l) = 21*l**4 - 84*l**3 + 69*l**2 + 84*l - 36. Let w(v) = 27*h(v) + 4*x(v). Let w(a) = 0. What is a?
-1, 1, 3
Suppose -8*x + 27 = -5. Factor -14*u + 2 + 14*u**3 - u**2 + 4*u**2 - u**2 - x*u**2.
2*(u - 1)*(u + 1)*(7*u - 1)
Let l(w) be the second derivative of 5*w**4/12 + 5*w**3/2 - 25*w**2 + 27*w. Find r such that l(r) = 0.
-5, 2
Let a(m) be the first derivative of m**4/14 + 26*m**3/21 - 29*m**2/7 + 30*m/7 - 535. Let a(r) = 0. Calculate r.
-15, 1
Factor 22 + 54*f + 5 + 216 + 2*f**2 - f**2 + 2*f**2.
3*(f + 9)**2
Factor -8*v**2 + 66*v + 0*v + 69 + 14*v**2 - 9*v**2.
-3*(v - 23)*(v + 1)
Let y(z) be the first derivative of 33 - 4*z - 4/3*z**3 + 4*z**2. Factor y(c).
-4*(c - 1)**2
Factor -8/5*s - 2/5*s**3 + 2*s**2 + 0.
-2*s*(s - 4)*(s - 1)/5
Let r = 474 + -470. Let o(l) be the third derivative of -2/105*l**7 + 0*l**r + 0 + 0*l**3 + 0*l**5 - 1/60*l**6 + 0*l - 1/168*l**8 - 7*l**2. Factor o(t).
-2*t**3*(t + 1)**2
Let i(j) be the second derivative of 1849*j**7/5040 + 43*j**6/360 + j**5/60 - 11*j**4/6 - 6*j. Let z(c) be the third derivative of i(c). Factor z(b).
(43*b + 2)**2/2
Let h(r) be the second derivative of -r**5/4 + 5*r**4/3 - 25*r**3/6 + 5*r**2 + 2*r - 37. Factor h(d).
-5*(d - 2)*(d - 1)**2
Let z(c) be the third derivative of 0*c**3 + 0*c - 1/20*c**4 + 13*c**2 + 0 + 1/50*c**5. Suppose z(t) = 0. Calculate t.
0, 1
Let m(o) be the second derivative of -o**7/21 - 113*o**6/75 + 171*o**5/50 + 13*o**4/6 - 166*o**3/15 + 48*o**2/5 - 11*o + 5. Determine v so that m(v) = 0.
-24, -1, 2/5, 1
Let i(p) = p + 1. Suppose 16 = 3*q + 4*u + u, -3*q = 2*u - 10. Let b(t) = -2*t**2 - 3*t + 7. Let x(n) = q*i(n) - 2*b(n). What is z in x(z) = 0?
-3, 1
Let c(r) be the first derivative of r**6/160 + 3*r**5/40 + 5*r**4/32 + 18*r**2 + 17. Let x(w) be the second derivative of c(w). Factor x(u).
3*u*(u + 1)*(u + 5)/4
Let r = 101 - 99. Let u(k) be the second derivative of -r*k - 1/3*k**2 - 1/18*k**4 - 2/9*k**3 + 0. Factor u(f).
-2*(f + 1)**2/3
Let z(l) be the first derivative of 3*l**4/22 - 46*l**3/33 + 13*l**2/11 + 14*l/11 - 77. Solve z(a) = 0 for a.
-1/3, 1, 7
Let n(y) = -84*y + 336. Let k be n(4). Let t(o) be the first derivative of 6 - 1/3*o**3 + o**2 + k*o. Factor t(l).
-l*(l - 2)
Let y(s) = 18*s - 1528. Let c be y(85). Determine x so that 2/9*x**c + 4/9 + 2/3*x = 0.
-2, -1
Let