 1)
Let f(w) = -w + 2. Let a be f(-2). Let u be (-2)/(-5) + (-315)/(-25). What is g in -4 + 7*g**3 + 2 - a*g + 7*g - g**2 + u*g**2 = 0?
-1, 2/7
Let d be ((-9)/(-324))/(3*(-4)/(-48)). Factor -d*v**3 + 1/3*v**2 - 1/3*v + 1/9.
-(v - 1)**3/9
Let -5*i**2 + 35*i + 66556 - 66556 = 0. What is i?
0, 7
Factor 2/3*l**4 + 0*l + 0 + 4/3*l**2 - 38/9*l**3.
2*l**2*(l - 6)*(3*l - 1)/9
Factor 0 + 0*u - u**2 + 0*u**3 + 1/4*u**4.
u**2*(u - 2)*(u + 2)/4
Suppose 42/11*j**2 - 24/11 + 8/11*j + 6/11*j**4 - 32/11*j**3 = 0. Calculate j.
-2/3, 1, 2, 3
Factor 0 + 2/17*f**2 + 10/17*f**4 + 0*f - 12/17*f**3.
2*f**2*(f - 1)*(5*f - 1)/17
Let h = -91558/7 - -13080. Suppose 0*k**2 - 6/7*k + 4/7 + h*k**3 = 0. Calculate k.
-2, 1
Let b be (-9558)/(-2754) - (-3)/(-1). Solve -10/17*d**4 - 14/17*d**3 + 2/17*d**2 - 2/17*d**5 + 16/17*d + b = 0.
-2, -1, 1
Let p = -18 + 28. Let w(c) = 6*c - 11*c - 9*c**2 - p*c - 30. Let q(x) = -2*x**2 - 3*x - 6. Let y(n) = -24*q(n) + 5*w(n). Factor y(r).
3*(r - 2)*(r + 1)
Factor 507/8*t - 63/8 - 129*t**2 + 6*t**3.
3*(t - 21)*(4*t - 1)**2/8
Suppose b + 4 = -5*t, 2*b = -3*b - t - 44. Let d be (-4)/(-18) + b + 5 - -4. Factor 0*c**3 - 2/9*c**2 + d*c**4 + 0 + 0*c.
2*c**2*(c - 1)*(c + 1)/9
Let h be 96/28 - (-3)/(-7). Suppose -4*p - m = 3*m - 16, 0 = h*m. Suppose 48*i**p + i**2 + 3*i**2 - 33*i**3 + 2*i**2 - 17*i**5 - 4*i**5 = 0. Calculate i.
0, 2/7, 1
Let t be (-33)/(-12) + (-2)/(-8). Suppose 2 = t*n - 7. Factor -5*c + 21*c**4 - 3*c + 34*c**n - 5*c**2 - 15*c**2.
c*(c + 2)*(3*c - 2)*(7*c + 2)
Let r be ((-156)/30 - -6)*15/8. Suppose 0 = -4*j + j + 2*s + 12, -2*s = 4*j - 16. What is y in r - 3*y + 3*y**3 - 3/2*y**j + 0*y**2 = 0?
-1, 1
Let o = 34/15 - 31/15. Factor 2/5*d + o*d**3 + 0 - 3/5*d**2.
d*(d - 2)*(d - 1)/5
Let u(x) = x**2 + 9*x + 3. Let y be u(-9). Factor -824*h**y - 4*h**2 + 823*h**3 + 2*h**4 + 2*h**2 + h**5.
h**2*(h - 1)*(h + 1)*(h + 2)
Solve -14*n**2 + 9*n - 5*n**3 + 3*n + n**3 + 4*n + 2*n**3 = 0 for n.
-8, 0, 1
Suppose 0 = -3*x - 3*x + 12. Factor -2*r**2 - r**3 - 2*r**2 - r**x + 6*r**3.
5*r**2*(r - 1)
Let l = -2429 - -2431. Let f(v) be the first derivative of 1/5*v**l + 0*v + 7 + 0*v**3 - 1/10*v**4. Determine n, given that f(n) = 0.
-1, 0, 1
Let s be 3/(-21*(-16)/56). Let z(k) be the first derivative of -13 - 3/2*k + 1/6*k**3 - s*k**2. Let z(n) = 0. What is n?
-1, 3
Suppose -a - 2*a + 3 = -3*h, 11 = 4*h + a. Let z = 178/7 - 25. Factor 2/7 + 1/7*y**3 - z*y + 0*y**h.
(y - 1)**2*(y + 2)/7
Let d(w) be the second derivative of w**7/42 - 11*w**6/180 - w**5/40 + w**4/36 - 3*w + 19. Suppose d(p) = 0. What is p?
-1/2, 0, 1/3, 2
Suppose 0 = -3*a - 9 + 18. Suppose a*s - 8 + 2 = 0. Factor 3/2*r + 0 + 3/2*r**s.
3*r*(r + 1)/2
What is k in 80*k - 36*k - 35*k - 8*k**2 + 26*k**2 - 2 - 25*k = 0?
-1/9, 1
Let z = -27 - -31. Find v, given that 4 - 19*v**2 - 12*v**3 - 4*v**4 - v**2 + 20*v**z + 12*v = 0.
-1, -1/4, 1
Let x(y) be the second derivative of y**8/33600 + y**4/4 - 16*y. Let t(f) be the third derivative of x(f). Factor t(p).
p**3/5
Let s(j) be the third derivative of j**5/12 + 25*j**4/12 + 35*j**3/2 + 121*j**2 - 2*j. Factor s(m).
5*(m + 3)*(m + 7)
Let c(i) = -2*i**3 - 4*i**2 + 2*i + 4. Let o(n) be the first derivative of n**4/4 + 2*n**3/3 - n**2/2 - 2*n - 8. Let s(r) = -6*c(r) - 11*o(r). Factor s(g).
(g - 1)*(g + 1)*(g + 2)
Let b(l) = 1838*l + 7352. Let d be b(-4). Solve 2/17*y**2 + 2/17*y**5 - 2/17*y**4 + d*y + 0 - 2/17*y**3 = 0 for y.
-1, 0, 1
Let r be -3 + (96/(-72))/(2/(-9)). Factor 0*o - 2/13*o**2 + 0 - 2/13*o**r.
-2*o**2*(o + 1)/13
Let f be 4680/(-50) + 3/(-5). Let v = f + 95. Solve 0 + 2/5*b**2 + v*b - 4/5*b**3 - 2/5*b**4 = 0.
-2, -1, 0, 1
Let w(j) be the first derivative of -j**4/34 - 124*j**3/51 - 896*j**2/17 + 4096*j/17 - 263. Solve w(c) = 0.
-32, 2
Let a(t) = 5*t**2 - 2*t - 1. Let n be a(-1). Factor -3*u**2 - n*u + 6 + 29*u - 14*u + 0*u**2 - 9*u**3 - 3*u**4.
-3*(u - 1)*(u + 1)**2*(u + 2)
Factor -16*q**2 + 4*q + 18*q**2 - 12 - 2*q.
2*(q - 2)*(q + 3)
Let d(k) be the first derivative of 0*k**2 + 1/8*k**4 - 1/12*k**6 + 11 + 0*k**3 + 0*k**5 + 0*k. Factor d(u).
-u**3*(u - 1)*(u + 1)/2
Suppose -15 = 5*w, -3*f + 12 = w - 5*w. Let l(y) be the third derivative of 1/20*y**4 + f*y**3 + 0 + 1/100*y**5 + 0*y - 6*y**2. Factor l(q).
3*q*(q + 2)/5
Suppose -5*v = -23 - 2. Factor v - 60*o + 15 + 241*o**2 - 216*o**2.
5*(o - 2)*(5*o - 2)
Let o(l) be the second derivative of -l**7/2940 - l**6/1260 + l**5/210 - 3*l**3/2 + 11*l. Let k(u) be the second derivative of o(u). Solve k(t) = 0.
-2, 0, 1
Let j be 24/36 + 4*5/24. Factor -j*v**2 + 2 + 0*v + 1/2*v**3.
(v - 2)**2*(v + 1)/2
Let w be (-336)/1176 + (-16)/(-7). Find m such that 0*m + 8/9 - 2/9*m**w = 0.
-2, 2
Let 1 + 0*n - 1/4*n**2 = 0. What is n?
-2, 2
Let d(h) be the third derivative of -h**8/60480 - h**7/3780 - h**6/720 - h**5/12 - 5*h**2. Let s(m) be the third derivative of d(m). What is u in s(u) = 0?
-3, -1
Let j(k) be the third derivative of -k**5/270 + 2*k**4/27 - 16*k**3/27 - 2*k**2 - 280*k. Factor j(p).
-2*(p - 4)**2/9
Let u(d) be the second derivative of 0*d**6 + 0 + 0*d**2 + 0*d**4 + 14*d + 1/6*d**3 + 1/42*d**7 - 1/10*d**5. Solve u(x) = 0.
-1, 0, 1
Let g(u) = u**2 - u - 1. Let y(s) = 2*s - 3. Let h(w) = -2*g(w) + 2*y(w). Factor h(p).
-2*(p - 2)*(p - 1)
Suppose -2/7*a**2 + 10/7*a - 12/7 = 0. Calculate a.
2, 3
Let f(i) = -80*i**3 + 155*i**2 - 24*i - 72. Let v(b) = 26*b**3 - 52*b**2 + 8*b + 24. Let g(d) = 2*f(d) + 7*v(d). Find s such that g(s) = 0.
-6/11, 1, 2
Let n(l) be the third derivative of l**8/6720 - l**7/630 + l**6/135 + 11*l**5/30 - l**2. Let r(b) be the third derivative of n(b). Factor r(t).
(3*t - 4)**2/3
Factor 3/2*p**2 - 7/2*p**3 + 1/2*p**4 - 54 + 63/2*p.
(p - 4)*(p - 3)**2*(p + 3)/2
Let m(r) be the third derivative of r**7/42 + r**6/24 - r**5/3 - 5*r**4/6 + 19*r**2. Factor m(d).
5*d*(d - 2)*(d + 1)*(d + 2)
Let m(t) be the first derivative of 152/7*t**2 + 1444/21*t**3 + 6 + 16/7*t. Factor m(n).
4*(19*n + 2)**2/7
Let n be (-54)/12*(-6)/9. Factor y**3 - y**n + 48*y**2 - 192*y - 6*y**3 + 2*y**3 + 256.
-4*(y - 4)**3
Let u(v) be the second derivative of -v**4/24 - v**3/2 + 18*v**2 - 6*v + 4. Factor u(f).
-(f - 6)*(f + 12)/2
Solve 1/3*z**5 + z**3 + 0 - 5/3*z**4 + 5/3*z**2 - 4/3*z = 0 for z.
-1, 0, 1, 4
Let v = 16904 + -16902. Factor -1/4*g**v - 16 - 4*g.
-(g + 8)**2/4
Solve -18*h**3 + h - 5*h**2 + 40*h**3 - 23*h**3 + 1 + 4*h**2 = 0.
-1, 1
Let r be (-10 + (-3224)/(-325))*(-10)/4*1. Find o, given that r*o**2 + 2/5*o + 0 = 0.
-2, 0
Suppose -18*i + 111*i**4 + 57*i**3 - 155*i**5 - 12*i**2 - 99*i**2 - 192*i**5 + 308*i**5 = 0. What is i?
-1, -2/13, 0, 1, 3
Let l(m) be the second derivative of m**7/42 + m**6/24 - 12*m**2 - 26*m. Let s(g) be the first derivative of l(g). Factor s(z).
5*z**3*(z + 1)
Let j(w) be the third derivative of -w**5/70 + 13*w**4/42 + 3*w**3/7 + 257*w**2. Factor j(c).
-2*(c - 9)*(3*c + 1)/7
Find y such that 5/3*y**4 + 0 + 5/3*y**5 + 0*y + 0*y**3 + 0*y**2 = 0.
-1, 0
Let j(m) be the first derivative of m**5/35 - 2*m**4/7 + 8*m**3/7 - 16*m**2/7 - 8*m - 11. Let k(n) be the first derivative of j(n). Factor k(p).
4*(p - 2)**3/7
Let t = -339 + 345. Let y(d) be the third derivative of -1/90*d**t + 0*d**3 + 4*d**2 + 0*d + 0*d**4 + 0*d**5 + 0 + 1/63*d**7. Factor y(w).
2*w**3*(5*w - 2)/3
Let g(l) be the third derivative of l**8/28 + 4*l**7/15 - 7*l**6/15 - 12*l**5/5 + 43*l**4/6 - 20*l**3/3 - 139*l**2. Suppose g(k) = 0. Calculate k.
-5, -2, 1/3, 1
Let i(g) be the third derivative of 0*g - 9*g**2 - 1/90*g**4 + 1/450*g**5 + 0 + 1/45*g**3. Determine q so that i(q) = 0.
1
Let x(o) be the first derivative of o**5/60 + o**4/6 - 5*o**3/6 + 8*o**2 - 15. Let q(n) be the second derivative of x(n). What is w in q(w) = 0?
-5, 1
Let b(g) be the second derivative of 0 + 2/15*g**6 - 4/21*g**7 + 4/5*g**5 - 2/3*g**4 + 38*g + 2*g**2 - 4/3*g**3. Let b(i) = 0. What is i?
-1, 1/2, 1
Let j be (-382146)/630 - 2/15. Let z = 608 + j. Factor 3/7*g**2 + z*g + 6/7.
3*(g + 1)*(g + 2)/7
Suppose 0 = 2*v - 0*v, 2*v = x - 2. Let k be (-16)/(-6) - (x - (0 + 2)). Factor 2 + 2/3*s**4 + 4/3*s - 4/3*s**3 - k*s**2.
2*(s - 3)*(s - 1)*(s + 1)**2/3
Factor -9/4*c**2 + 327/8*c - 27/4.
-3*(c - 18)*(6*c - 1)/8
Let b(v) = -2*v**4 + 7*v**3 + 23*v**2 - 7*v + 6. Let r(y) = -y**4 + 3*y**3 + 11*y**2 - 3*y + 2. Let w(h) = 4*b(h) - 9*r(h). Suppose w(d) = 0. Ca