. Let k be 2/(m/10) - (-23)/69. Let 0 + 2*x + 2/3*x**k = 0. Calculate x.
-3, 0
Let w(p) = 6*p + 25. Let b be w(-5). Let j be (-4)/b*(-25)/(-30). Suppose -j - 2/3*f**2 + 4/3*f = 0. What is f?
1
Let a be (-8)/(40/(-15)) + 16. Factor -21*h - 166 - 4*h**2 - a*h + 66.
-4*(h + 5)**2
Let x(m) = m**3 + 2*m**2 + m + 4. Let k be 3 + -2 + (-2 - 1). Let n be x(k). Factor 0*s**n + 0*s - 2/3*s**5 + 0*s**3 + 0*s**4 + 0.
-2*s**5/3
Let k(d) be the first derivative of 2*d**3/7 + 15*d**2/14 + 6*d/7 + 92. Factor k(q).
3*(q + 2)*(2*q + 1)/7
Let r(p) be the third derivative of 2*p**7/105 + 2*p**6/15 - p**5/15 - 2*p**4/3 - 17*p**2 - 1. Factor r(u).
4*u*(u - 1)*(u + 1)*(u + 4)
Let w(s) = s**2 + 2*s + 2. Let o be w(-2). Suppose 0 = -o*h + 4. Factor -u**2 + 0*u**2 - 4*u**3 - 2*u**h + 11*u**2.
-4*u**2*(u - 2)
Let g(r) be the second derivative of 5*r - r**2 + 0 + 0*r**3 + 1/6*r**4. Factor g(c).
2*(c - 1)*(c + 1)
Let g(a) be the second derivative of 0*a**3 - 23*a + 2/147*a**7 + 2 - 2/105*a**6 + 0*a**5 + 0*a**4 + 0*a**2. Factor g(l).
4*l**4*(l - 1)/7
Let k = 13541/4 - 3385. Factor -1/4*o**5 + 1/4*o**3 + 0 + 0*o + k*o**4 - 1/4*o**2.
-o**2*(o - 1)**2*(o + 1)/4
Let m be 948/(-553)*2*(-1)/8. What is o in -6/7*o + 0 - 12/7*o**5 - 15/7*o**2 - m*o**4 + 36/7*o**3 = 0?
-2, -1/4, 0, 1
Let a(l) be the third derivative of l**5/120 - 41*l**4/24 + 1681*l**3/12 - 158*l**2. Suppose a(r) = 0. Calculate r.
41
Factor -5/2*l - 3*l**2 - 1/2*l**3 + 0.
-l*(l + 1)*(l + 5)/2
Let j(d) be the first derivative of -3/35*d**5 - 3/14*d**4 + 0*d + d**3 - 13 - 6/7*d**2. Find q such that j(q) = 0.
-4, 0, 1
Let k(h) be the third derivative of 22*h**2 + 0*h**3 + 0*h + 1/240*h**5 - 1/96*h**4 + 0. Solve k(y) = 0.
0, 1
Let q = 86 + -82. Let t(y) be the second derivative of -1/84*y**q + 3*y + 0 + 0*y**2 - 1/42*y**3. What is k in t(k) = 0?
-1, 0
Let n be (-140)/(-165) + -9 + 175/21. Determine h, given that -n*h**2 - 18/11 + 12/11*h = 0.
3
Let s = -3 - 6. Let p(z) = -z**2 - 9*z + 12. Let l be p(s). Factor l*v**2 + 56*v**3 - 2 - 8*v - 36*v**3 + 2.
4*v*(v + 1)*(5*v - 2)
Let s = -15931 - -15931. Suppose 3/7*o**3 - 3/7*o + 0*o**2 + s = 0. Calculate o.
-1, 0, 1
Let s(k) = 13*k**3 - 69*k**2 + 104*k - 43. Let c = -2 - -7. Let f(n) = -19*n**3 + 103*n**2 - 156*n + 65. Let p(z) = c*f(z) + 7*s(z). Solve p(u) = 0 for u.
1, 6
Let h(o) be the second derivative of o**7/56 - o**6/8 + 3*o**5/80 + 13*o**4/16 - o**3/4 - 3*o**2 + 82*o. Let h(k) = 0. Calculate k.
-1, 1, 2, 4
Let k(q) be the first derivative of -q**7/490 + q**6/140 - q**5/140 - 9*q**2/2 + 13. Let x(d) be the second derivative of k(d). Factor x(g).
-3*g**2*(g - 1)**2/7
Let z(n) = -9*n**4 + 60*n**3 - 42*n**2 + 18. Let g(o) = 2*o**2 - 7*o**3 + 6*o**3 + 3*o**2 - 4*o**2 - 1. Let j(q) = 18*g(q) + z(q). Factor j(b).
-3*b**2*(b - 4)*(3*b - 2)
Suppose -43*x - 4 = -3*v - 44*x, 2*v = -5*x - 32. Solve 10/3*a**v - 4/3 + 7*a**2 + 4/3*a - 31/3*a**3 = 0.
-2/5, 1/2, 1, 2
Let d(g) be the second derivative of -g**6/15 - 17*g**5/10 + 37*g**4/6 - 19*g**3/3 - 3*g - 100. Factor d(x).
-2*x*(x - 1)**2*(x + 19)
Let z(o) be the first derivative of -o**6/120 - o**5/12 - o**4/3 - 2*o**3/3 - 26*o**2 + 18. Let f(h) be the second derivative of z(h). Factor f(s).
-(s + 1)*(s + 2)**2
Let s be ((-2)/36)/(25/(-20))*12. Let u(g) be the third derivative of 0*g + 0 - 2/3*g**4 + s*g**5 + 9*g**2 + 1/3*g**3. Factor u(x).
2*(4*x - 1)**2
Let q be (-2)/(8/42*(-840)/240). Find g such that 1/3 - 2/3*g**q - 1/3*g**4 + 2/3*g + 0*g**2 = 0.
-1, 1
Let u(t) be the first derivative of -4*t**3/3 - 20*t**2 - 100*t - 57. Factor u(i).
-4*(i + 5)**2
Let p(v) = v**4 - v**3 + v**2. Let l(d) = -4*d**5 - 312*d**4 - 10268*d**3 - 137572*d**2 - 629748*d + 777924. Let g(y) = l(y) - 20*p(y). Factor g(c).
-4*(c - 1)*(c + 21)**4
Let s(i) = 12*i - 15. Let j(w) = -w**2 + 24*w - 29. Suppose 35 = 5*c - 15. Let a be (c/4)/(10/20). Let v(x) = a*s(x) - 3*j(x). Find u such that v(u) = 0.
2
Let z(c) be the second derivative of c**7/1155 - c**6/220 - 2*c**5/165 + 14*c**2 + 9*c. Let f(o) be the first derivative of z(o). Suppose f(k) = 0. Calculate k.
-1, 0, 4
Let -3248/5*t**3 + 0*t + 0 + 23*t**4 - 3364/5*t**2 - 1/5*t**5 = 0. Calculate t.
-1, 0, 58
Let a(f) be the second derivative of -1/6*f**5 - 15*f + 0*f**4 + 5/126*f**7 + 0*f**2 + 5/18*f**3 + 0 + 0*f**6. Find d, given that a(d) = 0.
-1, 0, 1
Let a(u) = 11*u + 5. Let p be a(1). Suppose 2*i - p = 4*o, -2*i + 3*o = 2*i - 12. Factor i + 3/4*f**2 + 3/4*f**4 + 3/2*f**3 + 0*f.
3*f**2*(f + 1)**2/4
Let u(a) be the second derivative of 0*a**2 + 1/2*a**3 + 0 + 1/4*a**4 - 12*a. Suppose u(s) = 0. Calculate s.
-1, 0
Let y(a) = 2*a**4 + 6*a - 3 - 2*a**4 - 5*a**4 + 2*a**3. Let m(n) = -n**4 + n**3 + n - 1. Let j(i) = 12*m(i) - 3*y(i). Suppose j(o) = 0. What is o?
-1, 1
Let v(d) be the third derivative of -d**7/1575 - d**6/900 + d**5/450 + d**4/180 + 23*d**2. Factor v(x).
-2*x*(x - 1)*(x + 1)**2/15
Let r(b) be the second derivative of -b**5/50 - b**4/15 + b**3/15 + 2*b**2/5 - 57*b. Factor r(j).
-2*(j - 1)*(j + 1)*(j + 2)/5
Let a(g) be the second derivative of g**7/126 - g**6/30 - g**5/20 + 11*g**4/36 - g**3/3 - 334*g. Solve a(d) = 0 for d.
-2, 0, 1, 3
Let w be 0/(-8) + 0 + 4. Determine s, given that -27*s**3 + 7*s**4 - 38*s - w*s**4 - 6*s - 4*s + 72*s**2 = 0.
0, 1, 4
Find k, given that 2304/7*k + 3/7*k**3 + 144/7*k**2 + 12288/7 = 0.
-16
Let r be (((-1284)/(-8025))/(4/(-10)))/((-2)/15). Factor -3/2*g**3 + 3/2*g**4 + 1/2*g**5 - 7/2*g**2 + 0 + r*g.
g*(g - 1)**2*(g + 2)*(g + 3)/2
Let b(z) be the second derivative of -z**7/147 - z**6/105 + 13*z**5/70 + z**4/42 - 16*z**3/7 + 36*z**2/7 + 9*z + 11. Solve b(h) = 0.
-3, 1, 2
Let n(u) be the first derivative of u**4/14 + 8*u**3/21 - 11*u**2/7 + 12*u/7 - 89. Factor n(p).
2*(p - 1)**2*(p + 6)/7
Let v(a) be the first derivative of 124*a**3/7 + 4*a**2/7 - 49. Factor v(i).
4*i*(93*i + 2)/7
Suppose -b + u + 63 = 3*b, u - 90 = -5*b. Determine x, given that 3*x + b*x - 2 - 8 + 25*x**2 - 5*x = 0.
-1, 2/5
Let j(v) = v**2 + 14*v - 11. Let q be j(-17). Let c be (4 + (2 - 4))/(q/15). Factor 0 - c*s**2 - 3/4*s**3 - 1/4*s - 1/4*s**4.
-s*(s + 1)**3/4
Let x(w) be the second derivative of -w**9/3780 + w**8/840 - 7*w**4/6 - 13*w. Let k(b) be the third derivative of x(b). Factor k(d).
-4*d**3*(d - 2)
Suppose 0 = -3*m - 3*o - 2*o - 13, 4*m + 4*o + 4 = 0. Let u be (m*3/6)/2. Factor -4 + 6*c - u - 2*c**2 + 5 - 4.
-2*(c - 2)*(c - 1)
Let o = 167 - 167. Let l(u) be the second derivative of o + 0*u**4 + 0*u**3 + 1/15*u**6 + 0*u**2 + 1/10*u**5 + 2*u. Determine j, given that l(j) = 0.
-1, 0
Let u(c) be the second derivative of -196*c**6/45 - 63*c**5/5 + 61*c**4/18 + 47*c**3/6 + 3*c**2 + 373*c. Solve u(g) = 0 for g.
-2, -3/14, 1/2
Factor 9/2*q**2 + 3/2*q**4 - 6 - 6*q**3 + 6*q.
3*(q - 2)**2*(q - 1)*(q + 1)/2
Let j be ((-12)/56)/(6 - (-96)/(-14)). Let g(r) be the first derivative of -1/12*r**3 + 0*r**2 - 3 + 0*r - j*r**4. Solve g(l) = 0 for l.
-1/4, 0
Let b(s) be the second derivative of s**7/84 - s**6/24 + s**5/80 + s**4/24 + 17*s. Solve b(l) = 0.
-1/2, 0, 1, 2
Suppose 8*m - 4*m + g = 5, -3*m + g + 9 = 0. Let s be 48/2 + (5 - m). Determine n, given that 3 + 3*n**4 - 17*n**2 - 16*n**2 + s*n**2 = 0.
-1, 1
Let y(i) be the second derivative of i**6/3960 - 7*i**5/660 + 49*i**4/264 + 2*i**3 - 14*i. Let n(a) be the second derivative of y(a). Factor n(m).
(m - 7)**2/11
Let c(d) be the third derivative of -d**7/60 + d**6/15 - 11*d**5/120 + d**4/24 - 8*d**2 - 3. Factor c(q).
-q*(q - 1)**2*(7*q - 2)/2
Suppose -1 = 8*u - 49. Let g(y) be the first derivative of 0*y**2 + 3/8*y**4 + 0*y - 1/6*y**3 - 9 - 3/10*y**5 + 1/12*y**u. Factor g(t).
t**2*(t - 1)**3/2
Let c = 73/95 + 12/19. Let d(s) be the first derivative of -4/5*s**6 - 2/5*s + 3 - 2/5*s**2 + 8/5*s**3 - 22/25*s**5 + c*s**4. Determine a so that d(a) = 0.
-1, -1/4, 1/3, 1
Suppose -159 + 7 = -38*v. Factor -7/4*q - 1/2 - 5/4*q**3 - 9/4*q**2 - 1/4*q**v.
-(q + 1)**3*(q + 2)/4
Let a = -77/300 - -4/15. Let y(i) be the second derivative of 0*i**3 + a*i**5 - i + 0 + 0*i**2 - 1/60*i**4. Solve y(r) = 0.
0, 1
Let x be 3 + 1 + (20 - 22). Factor -2*m**x + 4*m + 0*m + m + 2 - 5*m**3.
-(m - 1)*(m + 1)*(5*m + 2)
Let j be 4*(-13)/(-156)*(-2 + 2). Let m(q) be the first derivative of 0*q**2 + 1/27*q**3 + j*q + 3. Solve m(v) = 0 for v.
0
Factor 2/15*a**2 + 0 + 8/15*a.
2*a*(a + 4)/