0*r**5 - 1/630*r**n. Solve j(w) = 0 for w.
-1, 1, 2
Let l(y) be the first derivative of y**6/18 + y**5/15 - y**4/4 - y**3/9 + y**2/3 - 508. Suppose l(j) = 0. What is j?
-2, -1, 0, 1
Let h(v) be the second derivative of -36*v**7/35 - 3*v**6/25 + 69*v**5/25 - 17*v**4/30 - 44*v**3/15 + 12*v**2/5 - 34*v. Determine d so that h(d) = 0.
-1, -3/4, 1/3, 2/3
Let a(r) be the first derivative of r**3/3 - 6*r**2 + 29*r - 20. Let m be a(9). Suppose -1/2*f**3 + 0*f + 0 + 7/4*f**4 + 0*f**m = 0. What is f?
0, 2/7
Let j(k) be the third derivative of -k**5/180 + 19*k**4/36 + 13*k**3/6 - 16*k**2 + 7. Factor j(t).
-(t - 39)*(t + 1)/3
Let b(u) be the second derivative of 0 - 1/190*u**5 + 5/38*u**4 - 25/19*u**3 + 12*u + 125/19*u**2. Let b(d) = 0. What is d?
5
Let v(u) be the first derivative of -4*u**3/15 + 6*u**2/5 + 16*u/5 + 267. Solve v(g) = 0.
-1, 4
Suppose -3*b - 424 = -3*x - 385, 2*x + b = -4. Let 6/5*l**2 - 2/5*l**4 + 16/5*l - 4/5*l**x + 8/5 = 0. Calculate l.
-2, -1, 2
Let o = -15472 - -15475. Factor 5/7*z - 4/7*z**2 + 0 - 1/7*z**o.
-z*(z - 1)*(z + 5)/7
Let w = 2/3185 - -629/12740. Let l(h) be the second derivative of 8*h + 0*h**3 + w*h**5 - 1/12*h**4 + 0 + 0*h**2. Solve l(q) = 0 for q.
0, 1
Let b(v) be the third derivative of -1/12*v**4 + 1/42*v**7 + 0 - 1/10*v**6 + 0*v**3 + 3/20*v**5 + 0*v - v**2. Find t such that b(t) = 0.
0, 2/5, 1
Let l(x) be the first derivative of x**5/20 - 3*x**4/8 + 2*x**3/3 + 3*x**2/4 - 9*x/4 + 57. Let l(w) = 0. Calculate w.
-1, 1, 3
Let p(l) = -l. Let v be p(-4). Suppose -2*q = -4*s - 20, 0 = -0*q - v*q + 3*s + 25. Factor 3 + 17*y - 3*y + 12*y**3 + 7*y**4 - 2*y - q*y**4 + 18*y**2.
3*(y + 1)**4
Factor -150/11 - 10/11*w + 14/11*w**2 + 2/11*w**3.
2*(w - 3)*(w + 5)**2/11
Let x be (64/50)/(-3*10/(-75)). Let t = -38/15 + x. Factor -t*m + 0*m**2 + 0 + 2/3*m**3.
2*m*(m - 1)*(m + 1)/3
Determine s so that -12*s**3 + 30*s**2 + 3/2*s**4 - 24*s + 0 = 0.
0, 2, 4
Suppose -5*u = 4*i - 16, -4*u + i - 2*i = -15. Let d be 3/2*(-24)/(-18). Solve -2*c**3 + u*c**4 + 5*c**4 + 2 + d*c - 6*c**2 - 5*c**4 = 0.
-1, -1/2, 1
Let i(k) = k**2 - 7*k - 1. Let o be i(8). Factor 0*s + 4 - s + 4*s**2 - o*s.
4*(s - 1)**2
Suppose -4*a + 2 = -4*j - 2, 2*j = -5*a - 37. Let d be j*(3 - (-14)/(-4)). Solve -10*v**4 + v**3 + 4*v**2 + 0*v**2 + 8*v**4 - d*v**3 = 0.
-2, 0, 1
Factor -40*b + 6 + 36*b + 30*b + 163 + b**2.
(b + 13)**2
Let -28/13 + 2/13*c + 56/13*c**2 - 28/13*c**4 - 4/13*c**3 + 2/13*c**5 = 0. Calculate c.
-1, 1, 14
Let s = -6313 + 6315. Determine o so that 1/7*o**s + 12/7*o + 36/7 = 0.
-6
Let k(u) = -u**2 + 1. Suppose 4*r + 2*y + 3*y + 196 = 0, 24 = -r + 5*y. Let j(v) = 10*v**2 + 6*v - 20. Let m(d) = r*k(d) - 4*j(d). Solve m(l) = 0 for l.
3
Let z(f) = -f**3 - f**2 + f - 1. Let u(x) = -3*x**3 + 37*x**2 - 12*x - 198. Let a(m) = -u(m) - 2*z(m). Suppose a(j) = 0. What is j?
-2, 4, 5
Let r = -30 + 35. Let f(w) = 5*w**4 + 8*w**3 + 6*w**2 + 2*w + 2. Let a(n) = -9*n**4 - 15*n**3 - 11*n**2 - 3*n - 3. Let x(i) = r*f(i) + 3*a(i). Factor x(l).
-(l + 1)**3*(2*l - 1)
Let o(k) = -5*k**3 - k - 1. Let d be o(-1). Suppose -n = -d*n. Factor -3*c**5 - c**4 - 3*c**4 + c**5 + n*c**4.
-2*c**4*(c + 2)
Determine i so that -2/3*i + 2/3*i**3 + 0 + 1/3*i**4 - 1/3*i**2 = 0.
-2, -1, 0, 1
Let n(r) = -r**5 + 6*r**4 - 28*r**3 + 57*r**2 - 19*r - 5. Let d(i) = -2*i**4 + 14*i**3 - 28*i**2 + 10*i + 2. Let f(t) = -5*d(t) - 2*n(t). Factor f(g).
2*g*(g - 2)*(g - 1)**2*(g + 3)
Let v(t) be the first derivative of t**6/30 + 23*t**5/25 + 43*t**4/20 + 7*t**3/5 - 67. What is o in v(o) = 0?
-21, -1, 0
Let r(g) be the second derivative of 3*g**5/5 + 4*g**4 + 21*g**3/2 + 27*g**2/2 - 35*g + 2. Factor r(u).
3*(u + 1)*(2*u + 3)**2
Let w = -2525/4 - -632. Let x**2 - w*x - 1/4 = 0. What is x?
-1/4, 1
Let d = 75137/7 + -10733. Factor -d*u**3 + 3*u**2 - 12/7*u - 12/7.
-3*(u - 2)**2*(2*u + 1)/7
Suppose 0 = 170*i + 343 - 853. What is n in -1/4*n**4 - 5/4*n**2 + 0 + 1/2*n + n**i = 0?
0, 1, 2
Let r(g) be the second derivative of -g**5/20 + 5*g**4/6 + 5*g**3/3 + 7*g**2 - 5*g. Let q be r(11). Factor -n - 7*n**2 + n**2 + 3*n**q + 0*n**3 + 6 - 2*n.
3*(n - 2)*(n - 1)*(n + 1)
Let h = -882 - -883. Solve 1/5*z**2 - h + 4/5*z = 0 for z.
-5, 1
Suppose 0 = 2*k + 2*t - 12, k = 5*t - 21 + 27. Let c(n) be the first derivative of 2/5*n**5 - 1/4*n**2 + k + 0*n + 5/6*n**3 - n**4. Factor c(j).
j*(j - 1)*(2*j - 1)**2/2
Let b(s) = -4*s**2 - 9*s + 8. Let c(g) be the second derivative of g**4/12 + g**3/6 - g**2/2 - 6*g. Let x(u) = -b(u) - 5*c(u). Factor x(t).
-(t - 3)*(t - 1)
Let v(c) be the first derivative of -21 + 0*c**3 + 21/5*c**5 + 0*c + 0*c**2 + 3/2*c**4. Factor v(n).
3*n**3*(7*n + 2)
Let f(m) be the third derivative of -m**7/1575 - 11*m**6/900 + 28*m**5/225 - m**4/3 - 7*m**2 - 35. Factor f(j).
-2*j*(j - 2)**2*(j + 15)/15
Let p = 8811/1520 - -1/304. Let f = -5 + p. Suppose 6/5*t - 2/5*t**2 - f = 0. Calculate t.
1, 2
Suppose -8*f = -62 + 30. Determine z, given that 0 - 28/3*z**3 + 20*z**2 + 4/3*z**f - 12*z = 0.
0, 1, 3
Let z(i) = i**2 + i + 4. Let c be z(0). Solve m**2 - 3*m**2 + 4*m + c - 6*m = 0 for m.
-2, 1
Let g(o) be the third derivative of o**6/780 - o**5/130 + 4*o**3/39 - 82*o**2. Solve g(a) = 0 for a.
-1, 2
Let r(q) = q**5 - q**3 + q**2 - q. Let b(t) = 3*t**4 - 3*t**3 - 9*t**2 + 6*t + 3. Let g(a) = b(a) + 3*r(a). Factor g(d).
3*(d - 1)**2*(d + 1)**3
Let n(i) be the third derivative of 0 - 5/6*i**4 - 5*i**2 - 25/3*i**3 + 0*i - 1/30*i**5. Factor n(a).
-2*(a + 5)**2
Let u = 683 + -676. Let f(y) be the third derivative of -3*y**2 - 1/210*y**6 + 0*y**5 + 0*y**3 + 0*y + 0*y**4 + 0 - 1/735*y**u. Factor f(t).
-2*t**3*(t + 2)/7
Suppose 0*q + 346 = 3*p - 5*q, -4*p + 500 = 3*q. Let y = -122 + p. Let 2/3*c - 2/3*c**5 + y*c**3 + 0 + 4/3*c**2 - 4/3*c**4 = 0. What is c?
-1, 0, 1
Let c(q) be the third derivative of q**5/90 - 5*q**4/36 - 6*q**2 - 8. Let c(b) = 0. What is b?
0, 5
Factor 48*k - 164*k + 54*k - k**2 + 40*k - 96.
-(k + 6)*(k + 16)
Let x be ((-5)/(15/(-9)))/1. Let p be (-2)/x + (-96)/(-108). Factor 2/3*v - p*v**2 - 4/9.
-2*(v - 2)*(v - 1)/9
Factor 2*u**2 - 16/3 + 212/9*u.
2*(u + 12)*(9*u - 2)/9
Let t = -1812 - -5440/3. Factor -t*b - 4/3*b**2 + 8/3.
-4*(b - 1)*(b + 2)/3
Let p(u) = 31*u**4 + 29*u**3 - 25*u**2 - 13*u. Let w(i) = 46*i**4 + 44*i**3 - 38*i**2 - 20*i. Let f(l) = -8*p(l) + 5*w(l). What is d in f(d) = 0?
-1, -1/3, 0, 2/3
Let v(l) be the first derivative of -l**6/18 + 16*l**5/15 - 97*l**4/12 + 94*l**3/3 - 66*l**2 + 72*l - 386. Find q, given that v(q) = 0.
2, 3, 6
Let d = 7 - 7. Factor -5*f**2 - 14 + d - 66 + 7*f + 33*f.
-5*(f - 4)**2
Let r be 829197/(-765) - (-4)/34. Let y = 1091 + r. Solve 49/5*c**5 + 4/5*c + 0 - y*c**2 + 109/5*c**3 - 126/5*c**4 = 0 for c.
0, 2/7, 1
Let j be 7/(-70) + 186/60. Let u(h) be the second derivative of 2*h**2 + 0 + 8/3*h**j + 4/5*h**5 + 2/15*h**6 + 4*h + 2*h**4. Solve u(m) = 0.
-1
Find a such that -16/15*a**2 + 32/15 - 32/15*a + 2/15*a**5 - 14/15*a**4 + 32/15*a**3 = 0.
-1, 2
Let o(c) be the second derivative of -c**6/90 + c**5/60 + 7*c**4/36 - c**3/18 - c**2 - 139*c + 3. Solve o(u) = 0 for u.
-2, -1, 1, 3
Let o be 3/((-844)/428 - -2). Determine f so that o*f**3 - 32*f**3 - 55*f**3 + 45*f**2 + 5 + 30*f = 0.
-1, -1/4
Determine d, given that -1139 - 1590 - 648*d**2 - 72*d**3 - 1409*d - 3*d**4 - 1183*d - 1159 = 0.
-6
Let p(x) = x**3 + 8*x**2 - 23*x - 25. Let k be p(-10). Solve -k*d - 5*d**3 + 46 - 23 - 23 + 10*d**2 = 0.
0, 1
Let m = 11 + -6. Suppose 0*f + 10*f**2 + 6*f**4 + 15*f**3 - f**4 + 5*f**2 + m*f = 0. Calculate f.
-1, 0
Let a(l) be the second derivative of -l**4/12 - 9*l**3 - 729*l**2/2 - 28*l. Solve a(s) = 0 for s.
-27
Suppose 2*p = 4*q + 14, 4*p + 2*q - 19 = 39. Suppose -4*h - 1 = -p. Factor -4*g**h - 11*g + 6*g - 2*g**4 + 5*g.
-2*g**3*(g + 2)
Suppose 0 = 5*g + 5*s - 5, -g = 3*s - 0*s + 7. Factor 5*n**2 + 31 - 27*n - g*n + 2*n - 6.
5*(n - 5)*(n - 1)
Let h = 247/374 + -30/187. Factor 1/3*g**3 - 1/6*g**2 + 0*g + h*g**4 + 0.
g**2*(g + 1)*(3*g - 1)/6
Let r be 16/88 - (-63 + 1)/((-88)/(-4)). Find g such that -2/3 + 2/3*g**4 + 0*g**2 - 4/3*g**r + 4/3*g = 0.
-1, 1
Let p(n) be the first derivative of 5/6*n**6 + 0*n - 15/4*n**4 - 10*n**2 - 1 + 2*n**5 - 40/3*n**3. Let p(w) = 0. Calculate w.
-2, -1, 0, 2
Let u(t) be the third derivative of -1/45*t**4 - 1/450*t**5 + 0 + 44*t**2 + 4/45*t**3 + 0*t + 1/900*t**