 0 + 12/5*b**3 - 6/5*b**4 + 24/5*b**2 + 0*b = 0.
-2, 0, 2
Let i(v) be the first derivative of -5/16*v**4 - 9 + 0*v + 1/3*v**3 + 1/8*v**2. Factor i(q).
-q*(q - 1)*(5*q + 1)/4
Let -392/17 - 2/17*y**2 + 56/17*y = 0. Calculate y.
14
Let f(i) be the third derivative of -i**7/30 - i**6/40 + 7*i**5/20 + 23*i**4/24 + i**3 - 2*i**2 + 7. Factor f(n).
-(n - 2)*(n + 1)**2*(7*n + 3)
Let r(m) = 42*m**3 - 56*m**2 + 154*m - 55. Let b(k) = -5*k**3 + 7*k**2 - 19*k + 7. Let h(p) = 51*b(p) + 6*r(p). Solve h(y) = 0 for y.
1, 3
Find d such that -59/3*d + 20/3 - d**2 = 0.
-20, 1/3
Suppose 0*y = 12*y. Let o(r) be the first derivative of 1/6*r**6 - 4 + y*r**3 - 1/2*r**4 + 0*r**5 + 0*r + 1/2*r**2. Find k, given that o(k) = 0.
-1, 0, 1
Suppose 960 = 18*m + 12*m. Let j = -735 + 3021/4. Find o such that m*o**2 - j*o**4 + 35/4*o**5 + 4 - 17*o**3 + 24*o = 0.
-1, -2/5, -2/7, 2
Let k(q) = -2*q**2 - 52*q + 114. Let t be k(2). What is c in -t*c**2 - 1/6*c**4 - c**3 - 5/3*c - 1/2 = 0?
-3, -1
Let c(t) be the third derivative of t**5/15 + 3*t**4/8 + t**3/3 - 6*t**2 - 4. Suppose c(h) = 0. What is h?
-2, -1/4
Let x be ((1 - 0)/(-1) + (-183)/(-122))*0. Factor -2/3*o**3 + 0*o**2 + x + 4/3*o**4 - 2/3*o**5 + 0*o.
-2*o**3*(o - 1)**2/3
Suppose -18 - 36 = -9*w. Let u be (-21)/w*10/((-840)/162). Factor -u*y**3 - 3/2*y**2 + 0 - 21/4*y**4 + 0*y.
-3*y**2*(y + 1)*(7*y + 2)/4
Let h(v) = -v**2 + 12*v - 33. Let b be h(6). Factor 6*i**3 - 4*i**2 - 16*i - 2*i**b + 16*i.
4*i**2*(i - 1)
Let s(o) be the third derivative of o**5/60 - 41*o**4/16 + 61*o**3/12 - 268*o**2 - 2*o. Suppose s(r) = 0. What is r?
1/2, 61
Suppose 0 = -12*r + 49 - 13. Find m, given that 4*m**2 - 11*m**r - 2*m**2 + 13*m**3 = 0.
-1, 0
Let w(n) be the second derivative of -n**3 - 14*n + 9/4*n**2 + 1/8*n**4 + 0. Factor w(a).
3*(a - 3)*(a - 1)/2
Let h(p) be the third derivative of p**6/200 - 7*p**5/50 - 31*p**4/40 - 8*p**3/5 - 205*p**2. Factor h(r).
3*(r - 16)*(r + 1)**2/5
Suppose 53 = 2*l + 17. Let f = -18 + l. Factor f*s**2 + 12*s + 3*s**2 - 6*s**2 - 12.
-3*(s - 2)**2
Let i(v) = 2*v - 6*v + 4*v**3 + 8*v**2 + 12*v. Let u(h) = -4*h**3 - 9*h**2 - 8*h. Let p(m) = -3*i(m) - 4*u(m). Let p(k) = 0. Calculate k.
-2, -1, 0
Factor -1/3*v**4 + 7/3*v**3 + 0 - 14/3*v**2 + 8/3*v.
-v*(v - 4)*(v - 2)*(v - 1)/3
Let 18*s**3 - 4*s**2 - 3*s**5 + 5*s**2 - s**2 + 19*s**4 - 22*s**4 = 0. What is s?
-3, 0, 2
Let k(d) = 4*d**2 - 10*d + 2*d - 5*d**2 - 6 + 1. Let p be k(-7). Find r such that 3/2 + r - 1/2*r**p = 0.
-1, 3
Solve 388/5*u + 2/5*u**2 + 18818/5 = 0.
-97
Let u be 9 + 12/4 - -4. Determine a, given that u*a - 16*a**4 - 80*a**2 + 13*a**3 - 2*a**3 + 57*a**3 = 0.
0, 1/4, 2
Let b(q) be the first derivative of -q**6/2 + 12*q**4 + 38*q**3 + 99*q**2/2 + 30*q - 39. Factor b(z).
-3*(z - 5)*(z + 1)**3*(z + 2)
Let h be (2/(-5))/(7/70*-1). Suppose -h*y + 12 = -y. Factor -1/5*s**y + 0 + 1/5*s - 1/5*s**3 + 1/5*s**2.
-s*(s - 1)*(s + 1)**2/5
Suppose 0 = 4*v - 0*v + 96. Let f be v/(-110) - 2/(-11). What is o in 4/5 - 2/5*o**2 - f*o = 0?
-2, 1
Suppose -7*q = -q - 42. Determine t so that -15*t**3 + 14*t**3 - 3*t**4 + q*t**3 - 24*t**2 + 9*t**3 + 12*t = 0.
0, 1, 2
Let p(l) = l**3 + 7*l**2 + 8*l - 6. Suppose -28*x = -32*x - 20. Let s be p(x). What is d in -s*d**2 + 8/3*d - 2/3*d**4 - 2/3 + 8/3*d**3 = 0?
1
Suppose -5*a - 34 = 3*c, -30*c - 34 = -35*c + 3*a. Factor 3/7*l**c - 12/7*l - 15/7.
3*(l - 5)*(l + 1)/7
Let t(b) be the third derivative of -b**8/1680 - b**7/210 - 3*b**6/200 - 7*b**5/300 - b**4/60 - 55*b**2. Let t(i) = 0. What is i?
-2, -1, 0
Determine s so that -48/5*s + 576/5 + 1/5*s**2 = 0.
24
Let f(l) = -l**3 + 9*l**2 + 11*l - 7. Let q be f(10). Suppose q*n = -0*n + 282. Factor -11*h - h**5 - 40*h**3 + 32 + 20*h**2 - n*h + 10*h**4 + 25*h + 60*h**2.
-(h - 2)**5
Let z(w) = 3*w**4 - 8*w**3 - 73*w**2 + 348*w - 353. Let s(v) = v**4 - 3*v**3 - 24*v**2 + 116*v - 118. Let l(m) = -7*s(m) + 2*z(m). What is c in l(c) = 0?
-5, 2, 6
Let b(a) be the first derivative of -16*a**7/525 + a**5/50 - a**4/120 - 2*a**2 + 17. Let y(v) be the second derivative of b(v). Solve y(m) = 0 for m.
-1/2, 0, 1/4
Let t(q) = -2*q**2 + 4*q - 2. Let u(o) = -2*o**2 + 3*o - 1. Let g(k) = -5*t(k) + 6*u(k). Solve g(l) = 0 for l.
-2, 1
Let n = -1251/10 - -8857/70. Factor 16/7*i - n*i**2 - 8/7 + 2/7*i**3.
2*(i - 2)**2*(i - 1)/7
Factor -6*o - 2*o**2 - 9/2.
-(2*o + 3)**2/2
Let a be 7*(23/((-966)/324) + 8). Let o be ((-4)/(-40))/(2/16). Factor -o*i**a + 1/5*i**5 + 2/5*i**4 - 3/5*i**3 + 4/5*i + 0.
i*(i - 1)**2*(i + 2)**2/5
Let g = -1094 + 1099. Let x(z) be the third derivative of 0 - 3/16*z**3 + 0*z - 1/64*z**4 + 3/160*z**g + 4*z**2 + 1/320*z**6. Let x(b) = 0. Calculate b.
-3, -1, 1
Let b = 12/5293 - -5221/31758. Factor -2*n + 1/6*n**5 - b*n**3 + 1/2*n**4 - 11/6*n**2 - 2/3.
(n - 2)*(n + 1)**3*(n + 2)/6
Suppose 3564 + 584*c - 13850 - 5415 - 4*c**2 - 5615 + 0*c**2 = 0. Calculate c.
73
Let w = -58/69 + 96/23. Factor -4/3 - 2*v**2 + 2/3*v**4 + 2/3*v**3 - w*v.
2*(v - 2)*(v + 1)**3/3
Suppose 8*z + 4390 - 4414 = 0. Factor -3*y**z + 3/2*y**5 - 3/2*y**4 - 3/2 + 3/2*y + 3*y**2.
3*(y - 1)**3*(y + 1)**2/2
Let m be (5 + (-2)/4 + -1 + -3)/1. Factor 1/2*g - 1/6 - m*g**2 + 1/6*g**3.
(g - 1)**3/6
Let f(w) be the first derivative of -w**4/38 + 92*w**3/57 - 425*w**2/19 - 5000*w/19 - 661. Suppose f(h) = 0. Calculate h.
-4, 25
Factor g**2 + 258 + g + 642 + 59*g.
(g + 30)**2
Let b(x) be the second derivative of -x**6/2340 + 20*x**3/3 + 42*x. Let r(s) be the second derivative of b(s). Factor r(n).
-2*n**2/13
Let h(w) be the second derivative of w**6/1620 + w**5/540 - w**4/18 + 5*w**3/6 + 14*w. Let u(y) be the second derivative of h(y). Let u(n) = 0. Calculate n.
-3, 2
Determine c, given that 17/4*c - 2*c**3 - 1 - 9/4*c**5 - 9/2*c**2 + 11/2*c**4 = 0.
-1, 4/9, 1
Let l(q) be the second derivative of q**4/18 + 5*q**3/9 - 2*q**2 - 110*q. Factor l(j).
2*(j - 1)*(j + 6)/3
Let x(s) = 2*s**3 - 13*s**2 - 14*s + 43. Let m(f) = -6*f**3 + 40*f**2 + 44*f - 130. Let c(l) = 6*m(l) + 20*x(l). Factor c(h).
4*(h - 5)*(h - 2)*(h + 2)
Suppose -4*c = -2*l + 44, c = 2*l - 0*c - 32. Let h(k) = k**2 - k. Let z(j) = 2*j**2 - j - 1. Let g(t) = l*h(t) - 6*z(t). Solve g(x) = 0.
1, 3
Suppose -2*z + 5*w = -29, 5*z + w - 15 = 2*w. Suppose z*b = -f + 7, 5*f + 9 - 36 = -2*b. Factor -b + 60*j - 3 + 12*j - 324*j**2.
-4*(9*j - 1)**2
Let k(y) = -2*y**3 - 102*y**2 + 19*y + 973. Let u be k(-51). Solve j**3 + 1/2*j**2 + 1/2*j**u + 0 + 0*j = 0.
-1, 0
Let f(l) = -l**2 + 15*l - 8. Let p(t) = 3*t**2 - t + 1. Let c(k) = 2*f(k) + 4*p(k). Factor c(x).
2*(x + 3)*(5*x - 2)
Let v(s) be the first derivative of 20*s**3/21 - 38*s**2 - 216*s/7 - 352. Let v(b) = 0. Calculate b.
-2/5, 27
Let j(k) = 7*k**3 + 17*k**2 - 14*k - 12. Let r(l) = -20*l**3 - 49*l**2 + 41*l + 36. Let q(u) = 17*j(u) + 6*r(u). Factor q(m).
-(m - 2)*(m + 1)*(m + 6)
Suppose 0 = -3*g - 5*o + 47, 12 = 3*g - 3*o - 3. Suppose 5*v = g + 1. Factor -6*m + 4*m - 4*m**v - 4 - 6*m.
-4*(m + 1)**2
Let r(i) be the second derivative of -i**7/42 - 2*i**6/15 + 3*i**5/20 + 17*i**4/6 + 26*i**3/3 + 12*i**2 + 89*i - 3. Solve r(f) = 0.
-2, -1, 3
Let l be (-1)/((-1)/(-2)) + 4. Suppose -3 = -j - l*j. Determine a so that -a**2 + a**3 - a + j - 2*a**3 + 2*a**3 = 0.
-1, 1
Let o = -1345 + 1349. Let f(i) be the first derivative of -1/2*i**6 - i**3 + 4*i - 1/5*i**5 + 9 - 4*i**2 + 11/4*i**o. Determine p, given that f(p) = 0.
-2, -1, 2/3, 1
Let o be (-56)/(-42) - (7/(-15) + (-4)/(-4)). What is w in -24/5*w**4 + o*w + 4/5*w**5 + 37/5*w**3 - 21/5*w**2 + 0 = 0?
0, 1/2, 1, 4
Let l(s) = 10*s**3 + 28*s**2 - 8*s - 34. Let w(g) = -g**4 + 18*g**3 + 57*g**2 - 17*g - 67. Let j(p) = -5*l(p) + 2*w(p). Factor j(u).
-2*(u - 1)*(u + 2)*(u + 3)**2
Let z(y) be the third derivative of y**8/6720 + y**7/1680 - y**6/40 + 13*y**5/30 - 20*y**2. Let p(g) be the third derivative of z(g). Factor p(o).
3*(o - 2)*(o + 3)
Suppose -4*f = 2*d + 10, 4*f - 129*d = -134*d - 25. Factor f + 3/7*a**2 + 15/7*a.
3*a*(a + 5)/7
Let n(x) be the first derivative of -10/57*x**3 + 2/95*x**5 + 8/19*x - 1 + 3/19*x**2 - 3/38*x**4. What is w in n(w) = 0?
-1, 1, 4
Let g(x) be the second derivative of -x**7/840 + x**6/60 - 7*x**5/80 + 3*x**4/16 - 8*x**2 + x. Let s(o) be the first derivative of g(o). Factor s(p).
-p*(p - 3)**2*(p - 2)/4
Factor -9/5*z**3 - 48/5*z - 12/5 - 39/5*z**2.
-3*(z + 2)**2*(3*z + 