te l.
-1, -2/7, 1
Suppose -2*k - 31 = -r, 2*k - 3*r + 33 = -0*k. Let f = 18 + k. Factor 0*o**f - 4/7*o + 0 + 6/7*o**2 - 2/7*o**4.
-2*o*(o - 1)**2*(o + 2)/7
Let v(t) be the third derivative of -t**5/210 - 16*t**4/21 - 124*t**3/21 - 106*t**2. Suppose v(f) = 0. What is f?
-62, -2
Let b = 230 + -155. Solve -3*o**2 - 10*o - b + 24*o + 16*o = 0.
5
Let r(h) be the first derivative of h**6/72 - h**5/8 + 5*h**4/12 - 6*h**3 + 21. Let z(c) be the third derivative of r(c). Let z(d) = 0. What is d?
1, 2
Let v = 151/4 - 13443/356. Let b = v - -183/445. Factor 2/5 + b*j**2 + 4/5*j.
2*(j + 1)**2/5
Let h(c) = -5*c**2 - 518*c - 22188. Let l(n) = 21*n**2 + 2073*n + 88752. Let t(j) = -9*h(j) - 2*l(j). Suppose t(x) = 0. Calculate x.
-86
Let c(y) be the first derivative of y**5/5 - 19*y**4/4 + 17*y**3/3 + 19*y**2/2 - 18*y - 319. Factor c(a).
(a - 18)*(a - 1)**2*(a + 1)
Let c be (1134/45)/6 - 2/10. Let m be 418/(-110) + c + 0. Let -m + 1/5*o**2 + 1/5*o**3 - 1/5*o = 0. Calculate o.
-1, 1
Suppose 3*g + 69 = -2*x, -25 = -g - 4*g. Let l be (-66)/x + -1 - (-1 - -1). Suppose -24/7*p**3 + 0 + 18/7*p**2 - l*p + 10/7*p**4 = 0. What is p?
0, 2/5, 1
Let y(o) be the second derivative of o**6/165 - 283*o**5/110 + 611*o**4/2 - 6627*o**3/11 + 493*o. Factor y(j).
2*j*(j - 141)**2*(j - 1)/11
Let p(q) be the first derivative of -q**6/1980 - 13*q**3/3 + 24. Let o(u) be the third derivative of p(u). Let o(h) = 0. What is h?
0
Factor -11*f**5 + 8*f**4 + 62*f**2 + 12*f**5 - 24*f**2 + 28*f + 8 + 25*f**3.
(f + 1)**2*(f + 2)**3
Let a(w) = w - 1. Let h(o) = 4*o**2 - 1. Let g be h(-1). Let b be a(g). Solve 14*k**2 - b*k - 12*k**2 - 4 + 4*k = 0 for k.
-2, 1
Let l be 1/(-10) - (-71)/355. Factor l*a**2 + a + 5/2.
(a + 5)**2/10
Factor -38609*c**4 + 4360*c**2 - 52373*c**4 + 60*c - 80 - 380*c + 9360*c**3 + 22537*c**4.
-5*(9*c - 2)**2*(13*c + 2)**2
Let j(z) = z**2 + z. Suppose -2*g - 5 = -13. Let u(v) = -5*v**2 + 2*v + 3*v**2 + 2*v + v**g + 5*v**2. Let y(k) = 6*j(k) - u(k). Factor y(h).
-h*(h - 2)*(h + 1)**2
Let x be 2249/143 + -21 - (-7 + 1). Factor 18/11*t**2 + x*t**3 + 12/11*t + 2/11.
2*(t + 1)**2*(4*t + 1)/11
Let y be (-7 - 7)*107/10. Let r = y - -150. Find w, given that 0 + r*w**2 + 4/5*w = 0.
-4, 0
Let x(w) be the third derivative of -w**7/42 + w**6/8 + w**5/6 - 5*w**4/2 + 20*w**3/3 + 68*w**2. Factor x(u).
-5*(u - 2)**2*(u - 1)*(u + 2)
What is c in 72 - 18997*c**4 - 2*c**5 - 27*c**3 - 66*c**2 + 60*c + 19021*c**4 - c**5 = 0?
-1, 2, 6
Let p be 1355/126 + 1/(-7). Let k = p + -58/9. Let 0 - k*j**5 + 2/3*j - 10/3*j**2 + 10/3*j**4 + 7/2*j**3 = 0. Calculate j.
-1, 0, 2/5, 1
Let z(r) be the third derivative of -r**6/1200 - r**5/300 + r**4/60 - 13*r**3/6 - 25*r**2. Let s(v) be the first derivative of z(v). Factor s(c).
-(c + 2)*(3*c - 2)/10
Suppose -278 = -2*f - 16. Let v = f - 391/3. Factor 2/3 + 4/3*z**3 - 4/3*z**2 - v*z**5 + 2/3*z**4 - 2/3*z.
-2*(z - 1)**3*(z + 1)**2/3
Let o be (60/(-35))/(6/(-21)). Let l = o - 4. Find j, given that -8*j - 3 + 0*j - 3*j**l + 2*j = 0.
-1
Let k be 0 + (21/9 - 1). Let y be (-40)/16*(-6)/45. Solve 0 + y*i**3 + k*i + 4/3*i**2 = 0 for i.
-2, 0
Let n(x) be the second derivative of -x**6/75 - x**5/25 + x**4/10 - 3*x - 9. Factor n(p).
-2*p**2*(p - 1)*(p + 3)/5
Let h(j) be the third derivative of j**5/20 - 3*j**4/4 - 8*j**3 - j**2. Determine d so that h(d) = 0.
-2, 8
Let o(q) be the first derivative of -q**5/5 + q**4 - q**3/3 - 3*q**2 - 96. Factor o(l).
-l*(l - 3)*(l - 2)*(l + 1)
Let s = 15 - 11. Suppose 0*z**5 + 12*z**3 - 5 - 3*z**5 + 24*z**2 - 6*z**s + 5 = 0. What is z?
-2, 0, 2
Let u(f) be the first derivative of -2*f**2 + 0*f + 5 + 4/3*f**3 + f**4 - 4/5*f**5. Factor u(d).
-4*d*(d - 1)**2*(d + 1)
Suppose -89*a**3 - 291*a**3 - 2*a**2 + 825*a**4 + 11*a**2 + 11*a**2 = 0. What is a?
0, 2/33, 2/5
Let m(z) = -14*z**3 + 44*z**2 + 70*z - 332. Let l(u) = 5*u**3 - 15*u**2 - 24*u + 111. Let s(x) = 8*l(x) + 3*m(x). Find c, given that s(c) = 0.
-3, 3, 6
Let c(k) = -k**5 + k + 14*k - 11*k**3 - 1 - k**2 + 15*k**4 - 4*k**2. Let o(z) = z**5 + z**4 - z**3 + z**2 + z + 1. Let f(x) = c(x) - 3*o(x). Factor f(d).
-4*(d - 1)**4*(d + 1)
Let k(l) be the third derivative of -l**7/1365 + 2*l**6/65 - 11*l**5/65 + 16*l**4/39 - 7*l**3/13 + l**2 + 6. Factor k(z).
-2*(z - 21)*(z - 1)**3/13
Let c be 6/(-10) + -5 + (-7937)/(-3220). Let b = 27/92 - c. What is r in -26/7*r**3 - 6*r**4 + b*r**2 + 8/7*r + 0 = 0?
-1, -2/7, 0, 2/3
Factor 3*v**3 - 33/2*v**2 + 27/2 + 18*v.
3*(v - 3)**2*(2*v + 1)/2
Find i, given that 8*i**2 + 3*i**5 - 39*i - 25*i**3 - 15*i**4 + 44*i - 5*i**2 + 12*i**2 + 17*i**5 = 0.
-1, -1/4, 0, 1
Let y be 81/54*(-32)/(-24). Factor 1/2*i**4 + 7/2*i**3 + 5/2*i + 0 + 11/2*i**y.
i*(i + 1)**2*(i + 5)/2
Let y(r) be the second derivative of r**6/60 - 3*r**5/20 - r**4 - 13*r**3/6 - 9*r**2/4 + 3*r - 25. Factor y(m).
(m - 9)*(m + 1)**3/2
Let s(a) be the third derivative of a**7/630 - 4*a**6/45 + 32*a**5/15 - 2*a**4 + a**2 - 12*a. Let m(n) be the second derivative of s(n). Factor m(l).
4*(l - 8)**2
Let x(j) be the first derivative of -j**7/168 - j**6/18 - 5*j**5/24 - 5*j**4/12 - 4*j**3/3 - 2. Let l(y) be the third derivative of x(y). Factor l(o).
-5*(o + 1)**2*(o + 2)
Let j(s) be the second derivative of -s**9/5040 + s**7/700 - s**5/200 + 11*s**3/6 + 7*s. Let a(f) be the second derivative of j(f). Factor a(c).
-3*c*(c - 1)**2*(c + 1)**2/5
Let i(a) be the second derivative of -a**4/4 - 13*a**3/6 - 2*a**2 - 28*a. Suppose i(n) = 0. Calculate n.
-4, -1/3
Let q(z) be the second derivative of -2/5*z**6 + 2/21*z**7 + 0*z**3 + 3/5*z**5 + 0*z**2 + 0 - 1/3*z**4 - 9*z. Determine j so that q(j) = 0.
0, 1
Let m(s) be the first derivative of -6*s + 9*s**3 - 15 - 3/2*s**2 + 3*s**5 + 39/4*s**4. Find p such that m(p) = 0.
-1, 2/5
Let d(s) be the second derivative of -3*s**5/8 - 55*s**4/24 - 5*s**3/2 + 112*s. Factor d(y).
-5*y*(y + 3)*(3*y + 2)/2
Factor -180*c**3 - c + 192*c**3 - 8*c**2 + c - 4*c**4.
-4*c**2*(c - 2)*(c - 1)
Let g(z) be the first derivative of 2*z**5/25 - 59*z**4/5 + 2158*z**3/5 + 14396*z**2/5 + 29768*z/5 - 367. Solve g(x) = 0 for x.
-2, 61
Let w(i) be the third derivative of -i**6/60 + 4*i**5/15 + 25*i**4/4 + 42*i**3 + 5*i**2 + 13*i. Factor w(u).
-2*(u - 14)*(u + 3)**2
Let o(a) be the third derivative of a**8/70560 - a**7/8820 - a**6/840 - 2*a**5/15 + 7*a**2. Let i(q) be the third derivative of o(q). Find x such that i(x) = 0.
-1, 3
Suppose 0 = -2*k - 3*w + 721, -3*k + 1850 = 2*k - 2*w. Determine q so that -2 + k*q - 365*q + q**2 + q**2 = 0.
-2, 1/2
Let y(c) be the second derivative of -c**4/24 + 34*c**3/3 - 1156*c**2 + 56*c. Factor y(a).
-(a - 68)**2/2
Let d(p) be the first derivative of p**4/2 - 104*p**3/3 + 101*p**2 - 100*p + 6. Factor d(m).
2*(m - 50)*(m - 1)**2
Let q(s) be the first derivative of -s**6/160 + s**5/80 + s**4/8 - s**3/2 + 3*s**2 + 22. Let p(n) be the second derivative of q(n). Find g such that p(g) = 0.
-2, 1, 2
Solve -10*n - 9*n - 16*n - 3*n**2 - 16*n = 0.
-17, 0
Suppose 2*v = -2 - 14. Let d be 6/v*32/(-12). Solve 9*l**d - 9*l**2 + 6*l**2 + 3*l + 3*l**3 = 0.
-1, 0
Suppose -1915 = -14*l - 1859. Let i(q) be the second derivative of 1/4*q**3 - 1/24*q**l + 0*q**2 - 9*q + 0. Suppose i(g) = 0. Calculate g.
0, 3
Factor 72 - 138*v - 142*v + 310*v + 2*v**2.
2*(v + 3)*(v + 12)
Let r(a) = -4*a**5 + 6*a**4 + 11*a**3 - 10*a**2 - 6*a + 4. Let j(l) = -l**5 - l**4 - l**3 + l + 1. Let f(u) = j(u) + r(u). Find v, given that f(v) = 0.
-1, 1
Let z be (4/(-4) + (-7)/(-14)*3)/1. Suppose 2 - z*q**2 + 0*q = 0. Calculate q.
-2, 2
Let h(c) = 15*c**3 - 12*c**2 - 15*c + 12. Let a(u) = -u**3 + u. Let t(x) = 12*a(x) + h(x). What is y in t(y) = 0?
-1, 1, 4
Let v(l) = -l**2 - 26 - 3*l**2 - 13*l - l**2 - 15*l. Let w(d) = -6*d**2 - 28*d - 26. Let s(z) = -4*v(z) + 3*w(z). Factor s(p).
2*(p + 1)*(p + 13)
Suppose 0*d - 2*d = -8. Let b = d + 1. Factor -2*q + 1 + 4*q**2 - b*q**2 - 1.
-q*(q + 2)
Let p = -17 - -25. Let x = 17/2 - p. Determine h, given that 0 + 3/2*h**4 - 1/2*h**5 - 3/2*h**2 + 0*h + x*h**3 = 0.
-1, 0, 1, 3
Suppose 0 = 3*y - 1674 + 177. Let 0*m**2 + y + 4*m**2 - 3*m**2 - 500 = 0. What is m?
-1, 1
Solve -7*n**2 - n**2 + 808*n + 12770 + 18*n**2 + 28034 - 6*n**2 = 0.
-101
Let u(h) be the first derivative of 1/4*h**4 + 1/2*h**2 + 0*h + 2/3*h**3 + 9. Let u(z) = 0. What is z?
-1, 0
Determine u so that -6*u**4 + 25*u