mine s, given that 7*s**2 + 12*s**4 + 15*s**3 + 3*s**f + 5*s**2 + 3*s**3 + 3*s = 0.
-1, 0
Let m(j) = 5*j**2 - 162*j + 5925. Let p(y) = 9*y**2 - 322*y + 11851. Let x(b) = -7*m(b) + 4*p(b). Suppose x(d) = 0. What is d?
77
Let p(a) be the second derivative of -a**5/40 - 21*a**4/8 - 80*a**3 + 256*a**2 - 99*a. Find x such that p(x) = 0.
-32, 1
Let s(f) be the second derivative of 7*f**5/330 - f**4/66 - 9*f**2/2 - 13*f. Let n(i) be the first derivative of s(i). Factor n(r).
2*r*(7*r - 2)/11
Let m(o) be the third derivative of 5*o**2 + 1/3*o**3 + 1/900*o**6 + 0 + 0*o**5 + 0*o - 1/60*o**4. Let h(q) be the first derivative of m(q). Factor h(y).
2*(y - 1)*(y + 1)/5
Let t(m) be the first derivative of -4*m**5/35 - 4*m**4/7 + 4*m**3/7 + 36*m**2/7 + 8. Find v, given that t(v) = 0.
-3, 0, 2
Let i(w) = -2*w**3 + 96*w**2 + 196*w + 202. Let y be i(50). Factor 2/9 - 2/9*n**y + 0*n.
-2*(n - 1)*(n + 1)/9
Let 3/2 + 9/2*u**2 + 6*u = 0. Calculate u.
-1, -1/3
Let a(g) be the second derivative of g**6/90 + g**5/60 + g + 6. Factor a(c).
c**3*(c + 1)/3
Let n(m) be the first derivative of 19/2*m**3 + 27/2*m - 99/4*m**2 - 9/8*m**4 - 25. Factor n(t).
-3*(t - 3)**2*(3*t - 1)/2
Let y(d) be the second derivative of d**4/132 + 3*d**3/22 + 4*d**2/11 - 2*d + 3. Factor y(k).
(k + 1)*(k + 8)/11
Let h(b) be the third derivative of -19/156*b**4 + 7/130*b**5 + 1/1365*b**7 - 5*b**2 + 0 + 0*b - 3/260*b**6 + 2/13*b**3. Factor h(c).
2*(c - 6)*(c - 1)**3/13
Let d = -205 + 210. Let w(k) be the second derivative of 0 + 1/75*k**6 + 1/50*k**d + 0*k**4 + 2*k + 0*k**3 + 0*k**2. Factor w(v).
2*v**3*(v + 1)/5
Let j be 3/(-1) - 7*9. Let v = 69 + j. Factor 4/7*x**2 + 4/7*x**v - 4/7*x - 4/7.
4*(x - 1)*(x + 1)**2/7
Let t = 16 - 16. Suppose t*q = -q. Factor 4*x**2 + q*x**3 + 4*x**3 - 3*x**4 + 2*x**4 + 2*x**4.
x**2*(x + 2)**2
Let s(t) be the second derivative of -1/240*t**6 + 1/4*t**3 + 3/80*t**5 + 0 - 1/4*t**2 - 13/96*t**4 - t. Factor s(v).
-(v - 2)**2*(v - 1)**2/8
Let f(k) be the third derivative of -k**6/80 - k**5/2 - 33*k**4/4 - 72*k**3 + 243*k**2. Solve f(w) = 0 for w.
-8, -6
Solve 6/5*y**2 + 3/5 - 9/5*y**4 - 12/5*y**3 + 12/5*y = 0 for y.
-1, -1/3, 1
Let u(h) = h**2 + 1. Let c(d) = 117*d**3 - 23*d - 102*d**3 + 10*d**4 - 5*d**5 - 24*d**2 - 4 + 3*d. Let s(m) = -c(m) - 4*u(m). Factor s(g).
5*g*(g - 2)**2*(g + 1)**2
Determine i, given that -26/23 + 26/23*i**2 + 2/23*i - 2/23*i**3 = 0.
-1, 1, 13
Factor -4/7*b**2 + 0*b**3 - 2/7*b + 2/7*b**5 + 0 + 4/7*b**4.
2*b*(b - 1)*(b + 1)**3/7
Let p(w) be the third derivative of -w**6/420 - 4*w**5/105 - 11*w**4/84 + 20*w**3/21 + 8*w**2 + 17. Factor p(m).
-2*(m - 1)*(m + 4)*(m + 5)/7
Factor -48/11 + 2/11*q**2 - 10/11*q.
2*(q - 8)*(q + 3)/11
Let r be (-2)/(-3) + 602/258. Let g(m) be the first derivative of 21/2*m**2 - r*m**3 - 6*m + 4. Factor g(j).
-3*(j - 2)*(3*j - 1)
Let u(v) be the first derivative of -v**5/110 - v**4/66 + 2*v**3/11 + 35*v + 19. Let s(y) be the first derivative of u(y). Suppose s(z) = 0. Calculate z.
-3, 0, 2
Let a(k) = -3*k**3 + 7*k**2 + 8*k - 2. Let n(l) = -8*l**3 + 22*l**2 + 23*l - 7. Let w be (-19)/(-9) - (-6)/(-54). Let j(v) = w*n(v) - 7*a(v). Factor j(c).
5*c*(c - 2)*(c + 1)
Suppose -3*i = 5*r - 14, 0 = 3*r - 25 + 22. Let g(d) be the third derivative of 7*d**2 + 1/2*d**4 - 1/15*d**5 + 0 + 0*d - 4/3*d**i. Solve g(q) = 0 for q.
1, 2
Suppose 8 - 140 = -3*f. Find l, given that -l**2 - l**3 + 5*l + 41 - f + 0*l**3 = 0.
-3, 1
Let a(z) be the second derivative of z**4/12 - z**3 - 19*z**2 + 65*z. Let o be a(-4). Factor -2/7*w**5 + 2/7*w**4 + 4/7*w**3 + 2/7 - 2/7*w - 4/7*w**o.
-2*(w - 1)**3*(w + 1)**2/7
Let m(h) be the third derivative of -h**5/105 + h**4/21 + 16*h**3/21 - 5*h**2. Factor m(f).
-4*(f - 4)*(f + 2)/7
Factor 0 - 2/13*q**2 - 84/13*q.
-2*q*(q + 42)/13
Let m be (-64)/(-416) + -9*3/(-585). Factor 1/10*x**2 + m + 3/10*x.
(x + 1)*(x + 2)/10
Let k = 52861/60 - 881. Let r(z) be the second derivative of 2*z + 0 + 0*z**3 + 0*z**2 - 1/40*z**5 - 1/24*z**4 + k*z**6 + 1/84*z**7. Factor r(h).
h**2*(h - 1)*(h + 1)**2/2
Solve 0 + 15/7*q**3 + 51/7*q**2 - 9*q - 3/7*q**4 = 0.
-3, 0, 1, 7
Factor 0*q**5 - 22*q**2 + 43*q**3 - 20*q**4 + 6*q**5 - 7*q**5.
-q**2*(q - 1)**2*(q + 22)
Determine y so that 21998*y**2 + 4*y**5 - 21998*y**2 - 4*y**4 = 0.
0, 1
Suppose 2*x + 2*x = 72. Suppose 0*t + 6*t = x. Solve 2/7*v**5 - 4/7*v**t + 0*v**2 + 0*v**4 + 2/7*v + 0 = 0.
-1, 0, 1
Let k(q) be the first derivative of q**7/8400 + q**6/900 + q**5/400 + 22*q**3/3 + 47. Let y(w) be the third derivative of k(w). Suppose y(u) = 0. Calculate u.
-3, -1, 0
Let m(z) = z**2 - 23*z + 136. Let x be m(13). Let j(q) be the first derivative of -15/4*q**4 + 4*q**3 + 0*q - 3/2*q**2 + 6/5*q**5 - x. What is b in j(b) = 0?
0, 1/2, 1
Find z, given that -14/19*z**2 - 2/19*z**3 - 24/19 - 32/19*z = 0.
-3, -2
Let f(t) = 28*t**3 - 2*t**2 + 2*t. Let l be f(1). Factor -8 + 72*j**4 - 12*j**3 - l*j**3 - 12*j**5 - 32*j**4 + 20*j.
-4*(j - 1)**4*(3*j + 2)
Let x(b) = b**3 + 8*b**2 + b - 8. Let w(f) = f**3. Let n(a) = -2*w(a) + x(a). Factor n(o).
-(o - 8)*(o - 1)*(o + 1)
Let x(l) be the first derivative of l**3/9 - 5*l**2/6 + 2*l - 127. Factor x(r).
(r - 3)*(r - 2)/3
Let f = -629 - -634. Factor 16/7*n**3 + 6/7*n**f - 22/7*n**4 + 0*n + 8/7*n**2 + 0.
2*n**2*(n - 2)**2*(3*n + 1)/7
Let n(h) = -h**3 - h**2 + 4*h + 5. Let c be n(-2). Let q be c/(-2*(-1)/4*4). Factor 1 - r**2 - q*r**3 + 1/2*r.
-(r - 1)*(r + 1)*(r + 2)/2
Let x = -10896 - -10899. Factor -s + 0 - 2/3*s**x - 7/3*s**2.
-s*(s + 3)*(2*s + 1)/3
Let d(v) be the second derivative of v**6/20 + 11*v**5/30 + v**4/2 - 3*v**2 - 14*v. Let c(m) be the first derivative of d(m). Suppose c(u) = 0. Calculate u.
-3, -2/3, 0
Let i(v) be the second derivative of 0 - 1/5*v**5 - 6*v - 1/2*v**3 + 3/80*v**6 + 9/2*v**2 + 7/16*v**4. Let n(x) be the first derivative of i(x). Factor n(f).
3*(f - 1)**2*(3*f - 2)/2
Let g(o) be the first derivative of -2*o**5/5 - o**4/2 + 2*o**3/3 + o**2 + 664. Factor g(b).
-2*b*(b - 1)*(b + 1)**2
Let f = -29 - -27. Let a be (0/(14/7))/(3 + f). Find s, given that -4/9*s - 2/9*s**4 + a*s**2 + 4/9*s**3 + 2/9 = 0.
-1, 1
Factor -1/2*r**2 - 43*r - 1849/2.
-(r + 43)**2/2
Let c = -283 + 1983/7. Factor -c*z**4 - 150/7*z**2 - 30/7*z**3 + 0 - 250/7*z.
-2*z*(z + 5)**3/7
Let x(r) be the second derivative of -2/7*r**2 - 1/14*r**5 - 1/105*r**6 + 4*r - 3/14*r**4 - 1/3*r**3 + 0. Let x(d) = 0. What is d?
-2, -1
Let g(c) = -c**3 + 3*c + 1. Let q(d) = -3*d**3 - 26*d**2 - 65*d - 44. Let p(v) = -4*g(v) + 2*q(v). Factor p(l).
-2*(l + 1)*(l + 2)*(l + 23)
Let v = -13 + 7. Let y = -4 - v. Let a**4 - 3*a**4 + 0*a**4 - y*a**3 = 0. What is a?
-1, 0
Let w(h) be the first derivative of h**6/18 + h**5/15 - h**4/4 - 5*h**3/9 - h**2/3 - 34. Determine i so that w(i) = 0.
-1, 0, 2
Let b(l) be the second derivative of -l**5/20 - 2*l**4/3 - l**3/6 + 21*l**2 + 156*l. Factor b(p).
-(p - 2)*(p + 3)*(p + 7)
Let u(s) = -s**2 + 5*s + 8. Let d be u(6). Let j be -8*(-1 + d/4). Determine n, given that 4*n**5 + 6*n**4 - 2*n**j - 2*n**5 = 0.
-2, 0
Suppose l = -2*l + 33. Suppose -l = -8*j + 7*j. Suppose 2*t - j*t + 1 - 3*t**2 - 7 = 0. What is t?
-2, -1
Suppose r - 29 = -27. Solve 6*l**4 - 4*l**5 - 718 + 2*l + 2*l**3 - 6*l**r + 718 = 0.
-1, 0, 1/2, 1
Let f be (-21 + 1848/70)/1. Suppose 3/5*l**3 - 15 + f*l**2 + 9*l = 0. What is l?
-5, 1
Let m be 2 - 40/18 - 490/(-18). Let l(f) = 6*f**2 + 9*f + 5. Let o(p) = -78*p**2 - 117*p - 66. Let j(c) = m*l(c) + 2*o(c). Factor j(v).
3*(v + 1)*(2*v + 1)
Let g = -5 - -7. Determine o so that -4*o - 37*o**g - 9*o**3 - 2*o + 22*o**2 - 3*o**3 - 3*o**4 = 0.
-2, -1, 0
Determine f so that -2326*f + 2242*f + 17*f**3 - 19 + 4*f**3 - 5 + 54*f**2 - 12*f**4 = 0.
-2, -1/4, 2
Let c(h) be the second derivative of -h**6/105 - 3*h**5/70 + h**4/42 + h**3/7 + 24*h. Factor c(n).
-2*n*(n - 1)*(n + 1)*(n + 3)/7
Solve -12/7 + 372/7*g + 27*g**2 = 0.
-2, 2/63
Let f(r) be the first derivative of 4*r**5/5 + 5*r**4 + 4*r**3 - 18*r**2 + 361. Suppose f(n) = 0. What is n?
-3, 0, 1
Let i(w) be the third derivative of -w**8/2856 - 8*w**7/1785 + w**6/510 + 8*w**5/255 - w**4/204 - 8*w**3/51 - 73*w**2. Solve i(x) = 0.
-8, -1, 1
Factor -30 + 28*c**2 + 3*c**3 + 2*c**2 + 3*c**3 - 5*c - c**3.
5*(c - 1)*(c + 1)*(c + 6)
Find w, given that -128 - 2/9*w**2 - 32/3*w = 0.
-24
Let w be (4144/(-1554))/((-3)/6 + -