 2)
Let t = 17657 + -17655. Find h such that 4/7*h**3 + 0*h + 0*h**t - 4/7*h**4 + 0 = 0.
0, 1
Let g(l) be the first derivative of -121*l**5/25 + 77*l**4/5 - 262*l**3/15 + 42*l**2/5 - 9*l/5 + 64. Let g(u) = 0. What is u?
3/11, 1
Let c(v) = 54*v**2 + 87*v - 153. Let q(s) = 21*s**2 + 35*s - 61. Let g(u) = -5*c(u) + 12*q(u). Factor g(t).
-3*(t - 1)*(6*t + 11)
Suppose -2*u - 5 = -u. Let k(b) = b + 7. Let a be k(u). Determine s, given that -s**2 - 2*s**a + 2 - 2 + 3 = 0.
-1, 1
Let m(b) be the second derivative of b**5/10 + 3*b**4/2 + 14*b**3/3 + 59*b. Suppose m(s) = 0. Calculate s.
-7, -2, 0
Let j(z) be the second derivative of -z**8/2240 + z**7/420 + z**6/48 - 3*z**5/20 - 10*z**4/3 - 5*z. Let x(s) be the third derivative of j(s). Factor x(m).
-3*(m - 3)*(m - 1)*(m + 2)
Let 8/5*s + 16/5 - 4/5*s**2 - 2/5*s**3 = 0. Calculate s.
-2, 2
Suppose -4*m = -8, 0 = -c - c + 5*m - 42. Let l be c/9*15/(-40)*4. Factor 4*h - 4/3*h**3 + 0*h**2 - l.
-4*(h - 1)**2*(h + 2)/3
Let u(m) be the third derivative of m**8/168 - 2*m**6/15 + 4*m**4/3 - 3*m**2 + 3. Factor u(v).
2*v*(v - 2)**2*(v + 2)**2
Suppose -4*b - 5*b = -14*b. Let l(x) be the third derivative of b*x**3 + 0*x - 5*x**2 + 0*x**4 + 1/40*x**6 + 0*x**5 + 1/112*x**8 + 1/35*x**7 + 0. Factor l(s).
3*s**3*(s + 1)**2
Suppose -p - 1 = -4. Let m be -2 + p - -9 - 2. Factor 10*f**3 - 9 + 9 - 16*f**2 - 2*f**4 + m*f.
-2*f*(f - 2)**2*(f - 1)
Let h(l) be the first derivative of 20*l**3/3 - 1635*l**2/2 - 410*l + 688. Factor h(o).
5*(o - 82)*(4*o + 1)
Let w be (-2)/10 - 66/(-30). Suppose 0*t = -w*t. Suppose t*a**3 - 12 - 3*a**3 + 0*a + 2*a + 10*a + 3*a**2 = 0. What is a?
-2, 1, 2
Let a be -9*203/1305*(36/(-7))/2. Solve -2/5*w**3 - a - 14/5*w**2 - 6*w = 0 for w.
-3, -1
Factor 2/7 + 9/7*d**2 + 11/7*d.
(d + 1)*(9*d + 2)/7
Suppose -6*h + 2*h = -3*h. Factor -3*q**2 + 3 + 0*q**2 + h + 0.
-3*(q - 1)*(q + 1)
Suppose 0 - 12/5*g + 2*g**5 - 26/5*g**4 + 26/5*g**2 + 2/5*g**3 = 0. What is g?
-1, 0, 3/5, 1, 2
Let r(u) be the second derivative of -u**9/37800 + u**8/2800 - u**7/700 + u**6/450 - 5*u**4/4 + 23*u. Let k(t) be the third derivative of r(t). Factor k(v).
-2*v*(v - 4)*(v - 1)**2/5
Suppose 0*q - 30*q = -6750. Let f = 225 - q. Factor f*n**4 + 0 + 1/2*n**3 + 0*n + 0*n**2 - 1/2*n**5.
-n**3*(n - 1)*(n + 1)/2
Let s(i) be the third derivative of 0 + 0*i**3 - 1/180*i**6 + i - 24*i**2 - 1/72*i**4 - 1/1260*i**7 - 1/72*i**5. Factor s(z).
-z*(z + 1)**2*(z + 2)/6
Let n(s) be the first derivative of 5*s**4/4 + 5*s**3/3 - 25*s**2 + 40*s + 206. Factor n(l).
5*(l - 2)*(l - 1)*(l + 4)
Let m(i) be the second derivative of -i**5/5 + 5*i**4 - 50*i**3 + 250*i**2 + 11*i + 9. Factor m(r).
-4*(r - 5)**3
Let p(x) = 6*x**5 - 3*x**4 + 4*x**3 + 2*x**2 - 4. Let n(l) = -l**5 - l**3 + l**2. Let q(z) = 5*n(z) + p(z). Determine d so that q(d) = 0.
-1, 1, 2
Let d(n) = n**3 + 680*n**2 + 14784*n + 14119. Let v(b) = 340*b**2 + 7392*b + 7060. Let m(i) = 4*d(i) - 7*v(i). Factor m(z).
4*(z + 1)*(z + 42)**2
Let a(i) be the first derivative of -35*i**3/3 + 25*i - 1. Let m(o) = 3*o**2 - 2. Let x = -1169 + 1194. Let s(y) = x*m(y) + 2*a(y). Factor s(w).
5*w**2
Suppose -7 - 15*b - 3/4*b**3 - 29/4*b**2 = 0. Calculate b.
-7, -2, -2/3
Let w(p) be the first derivative of 5*p**4/26 - 8*p**3/13 - 11*p**2/13 + 12*p/13 + 148. Factor w(d).
2*(d - 3)*(d + 1)*(5*d - 2)/13
Let w = -749 - -749. Let h(p) be the second derivative of 1/6*p**4 + 8/3*p**3 - 3/10*p**5 + w - p + 4*p**2. Let h(y) = 0. What is y?
-1, -2/3, 2
Let d be (59/(-708))/(5/3 - 2). Let n = -58/7 - -239/28. Solve d*c + 0 + 0*c**2 - n*c**3 = 0 for c.
-1, 0, 1
Let s = -4711/3 + 1571. Factor 2/3*y**3 - s*y + 0 + 0*y**2.
2*y*(y - 1)*(y + 1)/3
Let n(c) be the second derivative of -c**7/126 + c**5/30 - c**3/18 + c. Factor n(q).
-q*(q - 1)**2*(q + 1)**2/3
Let z be 24/36*(-15)/(-20). Factor -1/2*d**4 + d**2 + 1/2*d**5 - z + 1/2*d - d**3.
(d - 1)**3*(d + 1)**2/2
Let m(z) be the second derivative of -z**7/168 - z**6/24 + 5*z**4/6 + 11*z**3/2 - 39*z. Let y(n) be the second derivative of m(n). Factor y(o).
-5*(o - 1)*(o + 2)**2
Suppose 4/7*j**3 + 208/7*j - 64/7*j**2 - 192/7 = 0. Calculate j.
2, 12
Let w(s) be the third derivative of 0 + 0*s - 4/3*s**3 + 3/10*s**5 - 1/24*s**6 - 1/2*s**4 + 22*s**2. What is f in w(f) = 0?
-2/5, 2
Let d = -62 + 63. Suppose -6*s + 4 = -4*s. Determine r so that s*r**2 + 5 - 4 + r + r**3 - d = 0.
-1, 0
Suppose -9*x = 7*x - 64. Let b(j) be the third derivative of 0*j + 0 - 1/100*j**5 - 1/10*j**4 - 2/5*j**3 + x*j**2. Factor b(c).
-3*(c + 2)**2/5
Let o = 7598/5 - 1486. Suppose 144/5*h - o*h**2 - 27/5*h**4 - 48/5 + 96/5*h**3 + 3/5*h**5 = 0. What is h?
1, 2
Let d(j) be the third derivative of -j**6/40 + j**5/5 - 5*j**4/8 + j**3 - 2*j**2 - 5. Factor d(w).
-3*(w - 2)*(w - 1)**2
Let v = 7880 + -165478/21. Find c, given that 4/21*c + 0 + 0*c**3 - 2/7*c**2 + v*c**4 = 0.
-2, 0, 1
Let h be (82/(-205))/(-1 + 44/60). What is p in h*p**3 - 3*p**2 + 3/4*p**4 + 9/4 - 3/2*p = 0?
-3, -1, 1
Let v(k) be the first derivative of -4*k**3/15 + 7*k**2 - 34*k/5 - 69. Let v(c) = 0. Calculate c.
1/2, 17
Suppose -52 = 8*w - 124. Let w*a**3 + 6*a**2 - 3*a**5 + 3*a**5 - 6*a**4 - 9*a**5 = 0. What is a?
-1, -2/3, 0, 1
Let i = 132 - 136. Let a(x) = -x**2 - x + 2. Let b(g) = 8*g**2 - 8*g - 24. Let m(r) = i*a(r) - b(r). Determine w so that m(w) = 0.
-1, 4
Suppose -12/5 + 8/5*x**2 - 2/5*x - 2/5*x**3 = 0. Calculate x.
-1, 2, 3
Let o(u) = 6*u**3. Let z(g) = g**3. Suppose 2*c = -4*c + 18. Suppose 4*v = -1 - 3. Let p(l) = c*z(l) + v*o(l). Factor p(y).
-3*y**3
Let f(d) be the second derivative of -289*d**5/5 + 221*d**4/3 + 128*d**3/3 + 8*d**2 + 496*d. Let f(v) = 0. Calculate v.
-2/17, 1
Let z be (4/(-10))/((-36)/45). Let n(t) be the second derivative of 3/20*t**5 + z*t**3 + 1/2*t**4 + 0 + 4*t + 0*t**2. Let n(q) = 0. Calculate q.
-1, 0
Let l(h) = 15*h - 60. Let v be l(4). Let p(w) be the third derivative of 0*w + 1/105*w**7 + 0*w**4 + 0 + 1/15*w**5 - w**2 + v*w**3 + 1/20*w**6. Factor p(u).
2*u**2*(u + 1)*(u + 2)
Factor 8*x**3 - 207 - 320*x**2 - 62 + 0*x**3 - 565*x + 39 + 7*x**3.
5*(x - 23)*(x + 1)*(3*x + 2)
Let v(l) be the second derivative of l**5/5 + 11*l**4/3 - 80*l**3/3 + 56*l**2 - 2*l - 15. Determine b so that v(b) = 0.
-14, 1, 2
Let p(g) be the second derivative of 5*g**4/18 + 23*g**3/9 - 10*g**2/3 - 69*g. Factor p(z).
2*(z + 5)*(5*z - 2)/3
Let o(g) be the second derivative of g**6/15 - 2*g**5/5 + 5*g**4/6 - 2*g**3/3 - g + 36. Find q, given that o(q) = 0.
0, 1, 2
Let s = 32098 + -32095. Solve 15/7*n - 6/7 + 18/7*n**2 - 12/7*n**4 + 9/7*n**5 - 24/7*n**s = 0 for n.
-1, 1/3, 1, 2
Let r(j) be the first derivative of -7*j**4/18 - 4*j**3/9 + 5*j**2/3 - 4*j/9 - 47. Determine w so that r(w) = 0.
-2, 1/7, 1
Let x(o) be the first derivative of 2*o**3/3 - 21*o**2 + 40*o - 199. Let x(a) = 0. Calculate a.
1, 20
Let u(v) = -v**3 + 4*v**2 - 5*v + 5. Let a be u(2). Factor -27*l**3 + 4*l**4 + l**2 + 25*l**3 - a*l**4.
l**2*(l - 1)**2
Factor 12/19*s**2 + 2/19*s**4 + 2/19 + 8/19*s**3 + 8/19*s.
2*(s + 1)**4/19
Determine y, given that 12*y**3 + 6*y**2 - 15*y**2 - 9*y**3 - 6*y**3 + 12*y = 0.
-4, 0, 1
Let p(s) = -s**2 - s. Let v(d) = d**4 - d**3 - 4*d**2 - 2*d. Let f be 2 - (-6)/3 - 7. Let r(l) = f*p(l) + v(l). Suppose r(g) = 0. Calculate g.
-1, 0, 1
Suppose 0 = 3*n + 3*x, 3*x - 10 = 5*x. Find o, given that -18/7*o**3 - 10/7*o**n + 0*o - 4/7*o**2 + 0 - 24/7*o**4 = 0.
-1, -2/5, 0
Let h(y) be the second derivative of y**4/42 + 80*y**3/21 - 116*y. Factor h(a).
2*a*(a + 80)/7
Factor 85 - 5*g**3 + 59 + 24*g**2 + 47*g - 24 + 123*g + 21*g**2.
-5*(g - 12)*(g + 1)*(g + 2)
Let l(f) be the third derivative of -f**5/330 - f**4/132 + 2*f**3/11 + 4*f**2 - 10*f. Factor l(c).
-2*(c - 2)*(c + 3)/11
Let k(a) = -a**2 + 3*a - 1. Let h(w) = -w**3 - 5*w**2 - 32*w + 4. Let s(j) = h(j) + 4*k(j). Solve s(c) = 0 for c.
-5, -4, 0
Factor -r**2 - 2*r - 4 + 1 + 3*r**4 + 15*r**2 + 2*r**2 - 14*r**3.
(r - 3)*(r - 1)**2*(3*r + 1)
Let o be 2*1 - (-3 + (-51256)/44). Let f = 1171 - o. Factor -8/11*s**2 - 2/11*s + 0 - 2/11*s**5 - f*s**3 - 8/11*s**4.
-2*s*(s + 1)**4/11
Let a(o) = -o**2 - 2*o + 1. Let l(j) = 6*j**2 - 132*j + 1584. Let y(h) = 3*a(h) + l(h). Determine b so that y(b) = 0.
23
Suppose -1/6 - 1/6*t**4 - t**2 - 2/3*t - 2/3*t**3 = 0. Calculate t.
-1
Let x(l) be the third derivative of 1/8*l**4 - 5/100