 5/6*k**3 - 1/2*k**2 - 1/2*k**j + 5 - 1/10*k**5. Solve v(z) = 0.
-2, -1, 0
Let l(w) be the third derivative of 0*w + 17*w**2 + 0 + 1/30*w**5 - 1/3*w**4 + w**3. Determine m, given that l(m) = 0.
1, 3
Let f(g) be the second derivative of g**5/25 + 22*g**4/15 + 118*g**3/15 + 76*g**2/5 - 8*g - 1. Factor f(p).
4*(p + 1)*(p + 2)*(p + 19)/5
Suppose 3*x = 5*h + 21, -3*x + 2*h = 3*h - 3. Determine k so that -10*k - 8 - k - k**3 - k - 6*k**x = 0.
-2
Suppose 2*g + 75 = b - 6*b, 0 = -b + 3*g - 15. Let x = b + 23. Solve 44*q**2 - 8*q**2 + 4*q**4 - 8*q + x - 20*q**3 - 4*q - 16*q = 0.
1, 2
Let t(c) be the second derivative of c**7/126 - c**6/45 - 7*c**5/60 + 5*c**4/9 - 2*c**3/3 - 60*c. Determine f so that t(f) = 0.
-3, 0, 1, 2
Let o(m) be the first derivative of -4/9*m**3 + 1 + 2*m**2 - 8/3*m. Find p such that o(p) = 0.
1, 2
Let j(k) = -24*k**2 - 2*k - 1. Let f be j(-1). Let b = f + 41. Suppose b*m**3 + 2*m - 7*m**3 - 13*m**3 = 0. What is m?
-1, 0, 1
Let o(g) be the second derivative of g**5/20 + 2*g**4/3 + 10*g**3/3 + 8*g**2 - 8*g - 6. Factor o(n).
(n + 2)**2*(n + 4)
Let s = -816 - -68545/84. Let n(t) be the third derivative of 0 + 0*t + 1/420*t**6 + 2*t**2 - s*t**4 + 2/21*t**3 - 1/105*t**5. Find u, given that n(u) = 0.
-1, 1, 2
Let r(k) be the second derivative of k**8/112 + k**7/70 - k**6/40 - k**5/20 - 25*k**2/2 + k. Let z(j) be the first derivative of r(j). Solve z(v) = 0 for v.
-1, 0, 1
Let h(s) be the first derivative of 0*s + 2/3*s**3 + s**4 + 0*s**2 + 2/5*s**5 - 2. Find d, given that h(d) = 0.
-1, 0
Let -1/4 - 8836*a**2 - 94*a = 0. Calculate a.
-1/188
Suppose 3*t + 2*v = 247, -5*t + 3*v - 5*v = -409. Let l = 487/6 - t. Let 0 + 1/2*p + l*p**2 = 0. What is p?
-3, 0
Let r be 204/180 - (-4)/(-30). Let y(x) be the second derivative of -x**6/30 - x. Let v(s) = -3*s**5 + 6*s**4 + 3*s**3. Let o(p) = r*v(p) + 6*y(p). Factor o(k).
-3*k**3*(k - 1)*(k + 1)
Let m(w) = -4*w**2 + 1 + 3*w - w + 6*w**2 + 2*w**2. Let p be m(-1). Suppose 2*c + c + c + 6 + p*c**2 + 5*c = 0. Calculate c.
-2, -1
Let a = -27113/56 - -3390/7. Factor 1/4*j**2 - a*j - 1/8 - 1/8*j**4 + 1/4*j**3 - 1/8*j**5.
-(j - 1)**2*(j + 1)**3/8
Let b(v) be the first derivative of v**3/3 - 165*v**2/14 + 92*v/7 - 249. Let b(s) = 0. What is s?
4/7, 23
Let i = -107/3 + 544/15. Factor -i*r**4 + 0*r**2 + 0 + 6/5*r**3 + 0*r.
-3*r**3*(r - 2)/5
Let v(g) be the second derivative of -15*g**8/112 - 4*g**7/7 - 13*g**6/24 - g**5/6 - 10*g**2 + 5*g. Let k(h) be the first derivative of v(h). Factor k(r).
-5*r**2*(r + 2)*(3*r + 1)**2
Factor 0*i - 3/4*i**3 + 0 + 9/4*i**2.
-3*i**2*(i - 3)/4
Suppose 0 = -5*h - 3*z + 4, -2*h = -7*z + 2*z - 14. Suppose -r = r + l + h, 4*r - 4*l - 8 = 0. Factor 3/4*p + 3/4*p**2 + r.
3*p*(p + 1)/4
Suppose 0 = -2*y - u + 23, 0*u - 2*u = 5*y - 56. Let i be (-13)/(-26) - y/(-4). Factor 0*c - 2/3*c**5 - 26/9*c**4 + 0 - 8/9*c**2 - 32/9*c**i.
-2*c**2*(c + 2)**2*(3*c + 1)/9
Let c(l) = -2*l**3 + 6*l + 4. Let k be c(-2). Let t be (9/(-36))/((-5)/k). Determine f, given that 2/5*f**2 - t + 0*f = 0.
-1, 1
Suppose -3*v - 8 = -3*g - g, v - 5*g + 10 = 0. Suppose v*j - 4*j = 3*j. Factor 0*n**3 + 4/11*n**2 - 2/11*n - 4/11*n**4 + j + 2/11*n**5.
2*n*(n - 1)**3*(n + 1)/11
Let v = 837352/108849 - 4/8373. Factor 2/13*d**4 + 120/13*d**2 - 250/13 - v*d - 28/13*d**3.
2*(d - 5)**3*(d + 1)/13
Let c = -846 + 852. Let b(h) be the third derivative of -2*h**3 + 0*h + 1/2*h**4 + 0 - 1/20*h**5 + c*h**2. Find i, given that b(i) = 0.
2
Let p(i) be the third derivative of i**5/150 - 52*i**4/15 + 10816*i**3/15 + i**2 - 267. Determine u so that p(u) = 0.
104
Let c(y) = y**3 - y. Let z(q) = 8*q**3 + 9*q**2 - 5*q. Let k(u) = 5*c(u) - z(u). Factor k(d).
-3*d**2*(d + 3)
Let n(z) be the second derivative of 5*z**4/12 - 40*z**2 - 67*z. What is j in n(j) = 0?
-4, 4
Suppose 2*j + 4*z = 20, j + j - 23 = -5*z. Suppose 11 = 5*d - j. Factor d*p**3 + 18 + 4*p - 10*p**2 - p**3 + 2*p.
2*(p - 3)**2*(p + 1)
Let p = 1 + -1. Let f be (-6)/(-18) + -2 + 7/((-42)/(-10)). Let k**4 + p - 1/3*k**3 + f*k + 0*k**2 = 0. Calculate k.
0, 1/3
Let w(m) be the third derivative of -m**7/10 - 51*m**6/40 - 119*m**5/20 - 93*m**4/8 - 9*m**3 + 62*m**2. Determine g, given that w(g) = 0.
-3, -1, -2/7
Suppose -8*u**5 + 160*u**2 + 4*u**5 + 216*u + 106*u**3 + 60*u**2 + 24*u**4 + 80 + 6*u**5 = 0. Calculate u.
-5, -2, -1
Let n be 1 + (14 - 319/22). Determine g, given that -12*g**2 + 0 - n*g**5 - 9/2*g - 4*g**4 - 11*g**3 = 0.
-3, -1, 0
Let l(s) be the second derivative of 13*s + 1/10*s**5 - 2/3*s**2 + 1/45*s**6 + 0 + 1/18*s**4 - 1/3*s**3. Solve l(r) = 0 for r.
-2, -1, 1
Let h(k) be the second derivative of k**9/5040 - k**7/280 - k**6/120 - 5*k**4/6 - 3*k. Let s(p) be the third derivative of h(p). Find l, given that s(l) = 0.
-1, 0, 2
Let z be 87197/(-110) + (-3)/30. Let x = 798 + z. Find q such that -x*q**2 + 8/5 + 18/5*q**4 + 0*q + 0*q**3 = 0.
-1, -2/3, 2/3, 1
Suppose -6*f = 2 + 22. Let q(g) = 6*g**2 - 12*g - 10. Let r(p) = p**2 - p. Let u(w) = f*r(w) + q(w). Suppose u(z) = 0. What is z?
-1, 5
Let p(g) be the second derivative of g**6/60 + g**5/9 + g**4/12 - 7*g**2/2 + g. Let k(d) be the first derivative of p(d). Suppose k(y) = 0. What is y?
-3, -1/3, 0
Factor 6 - 8 - 36*n**2 + 38*n**2.
2*(n - 1)*(n + 1)
Let l(y) be the second derivative of -44*y + 1/15*y**4 - 2/15*y**3 - 1/100*y**5 + 0 + 0*y**2. Factor l(g).
-g*(g - 2)**2/5
Let y be (-6 - 4)/(3 + 33/(-6)). Let b(i) be the first derivative of 0*i**3 + 6 + 0*i + 2/5*i**5 + 0*i**2 - 3/2*i**y. Factor b(h).
2*h**3*(h - 3)
Find q such that -1/8*q**5 - 77/8*q**2 + 0 - 33/8*q**3 + 49/4*q + 13/8*q**4 = 0.
-2, 0, 1, 7
Let n(m) = 14*m**4 + 16*m**3 - 26*m**2 + 14*m. Let y(f) = 12*f**4 + 14*f**3 - 26*f**2 + 15*f. Let a(o) = -5*n(o) + 6*y(o). Factor a(j).
2*j*(j - 2)*(j - 1)*(j + 5)
Let z(v) be the first derivative of v**6/15 - 6*v**5/25 + 3*v**4/10 - 2*v**3/15 - 126. Factor z(m).
2*m**2*(m - 1)**3/5
Let l be (-150)/(-45)*(45/20 + -1 + -1). Let w = -79/7 - -509/42. What is n in -w*n**3 - 1/6 + n**4 - 5/6*n**2 + l*n = 0?
-1, 1/3, 1/2, 1
Let c = 67 - 67. Let x(y) be the second derivative of c - 1/30*y**4 - 9*y + 0*y**2 + 2/15*y**3. Let x(v) = 0. What is v?
0, 2
Let t = -45675 - -45677. Solve -14/5*g**3 + 14/5*g - 6/5 + 6/5*g**t = 0 for g.
-1, 3/7, 1
Let n(x) be the second derivative of -x**6/10 - 2*x**5/5 - 7*x**4/12 - x**3/3 + 34*x. Factor n(m).
-m*(m + 1)**2*(3*m + 2)
Let w(a) = a**3 + 57*a**2 + 261*a + 55. Let t be w(-52). Factor 1/2*h + 3/4*h**t - 5/4*h**2 + 0.
h*(h - 1)*(3*h - 2)/4
Let -48/5 + 3/5*r**2 + 18/5*r = 0. What is r?
-8, 2
Let g(p) be the second derivative of 1/21*p**3 + 0 - 12*p - 4/21*p**2 + 1/126*p**4. Factor g(j).
2*(j - 1)*(j + 4)/21
Let u be (6 - (-360)/(-27) - -8)*(-1)/(-3). Let 2/9 - 2/9*q - u*q**2 + 2/9*q**3 = 0. What is q?
-1, 1
Let w(k) be the third derivative of -k**6/1440 - 5*k**3/6 + 2*k**2. Let q(o) be the first derivative of w(o). Factor q(z).
-z**2/4
Let m be -3 - 8*70/(-112). Factor 16/11 + 2/11*g**m - 12/11*g.
2*(g - 4)*(g - 2)/11
Factor -1816*y - 9*y**3 - 13*y**2 - 24 + 1772*y - 17*y**2 - y**4.
-(y + 2)**3*(y + 3)
Let v be (-3)/4*((-13 - -8) + 1). Let d(t) be the first derivative of 3 - 1/3*t**2 - 2/27*t**v - 4/9*t. Factor d(o).
-2*(o + 1)*(o + 2)/9
Suppose -55*r - 12 = -54*r. Let t be ((7 + 2)*(-2)/r)/2. Suppose 0 + 0*a - 3/4*a**3 + 3/4*a**5 + t*a**2 - 3/4*a**4 = 0. What is a?
-1, 0, 1
Determine g so that -3136*g - 4/3*g**3 + 112*g**2 + 87808/3 = 0.
28
Let s be ((-2)/(-5))/(14/10). Suppose -49*c + 443 = -556*c + 1457. Suppose s*t**3 + 2/7*t**c + 6/7 - 10/7*t = 0. What is t?
-3, 1
Factor 8168202/13*n**5 + 2/13 + 185220/13*n**3 + 1944810/13*n**4 + 210/13*n + 8820/13*n**2.
2*(21*n + 1)**5/13
Factor -8/9*n - 16/9 - 1/9*n**2.
-(n + 4)**2/9
Suppose -81 = 5*w - 3*j, -5*w + 2*j - 76 = 8. Let q = w + 18. Find o such that -2/3*o**2 + q*o + 2/3 = 0.
-1, 1
Let j(f) = 0*f + 4*f + 2*f. Let p(d) = -d**2. Let b(g) = -j(g) - p(g). Suppose b(q) = 0. Calculate q.
0, 6
Let r be (-21)/35*2/(-6). Let b be 1 - 1/(-2) - (-4)/8. Factor -2/5*k + 3/5 - r*k**b.
-(k - 1)*(k + 3)/5
Factor 2/9*j**2 + 32/3*j + 128.
2*(j + 24)**2/9
Let m = -37 + 39. Factor 5*s**5 + 11*s**2 + s**m - s**5 - 12*s**4 + 2*s**3 - 8*s + 2*s**3.
4*s*(s - 2)*(s - 1)**2*(s + 1)
Factor 4*x**5 + 16*x**3 - 8*x**2 - 40/3*x**4 + 4/3*x + 0.
4*x*(x - 1)**3*(3*x - 1)/3
L