 z(g).
-5*g*(g - 3)*(g + 2)*(g + 4)
Let v(z) be the third derivative of -1/72*z**6 + 6*z**2 - 1/120*z**5 + 0*z + 0 + 0*z**4 - 3/2*z**3. Let q(p) be the first derivative of v(p). Factor q(k).
-k*(5*k + 1)
Suppose -6*y + 30 = -0*y. Factor 13*b + 944 + b + 6*b - 924 + y*b**2.
5*(b + 2)**2
Let q(f) be the third derivative of -f**6/30 - 29*f**5/15 + 31*f**4/3 - 237*f**2. Factor q(x).
-4*x*(x - 2)*(x + 31)
Factor 2/9*g**2 - 2/9*g**4 + 0 + 2/9*g - 2/9*g**3.
-2*g*(g - 1)*(g + 1)**2/9
Determine l, given that 64/5*l + 512/5 + 2/5*l**2 = 0.
-16
Let p be (-4)/(-6)*(-42)/(-4). Suppose -p + 3 = -j. Factor 4*n**j - 21*n**2 + 21*n**2 - 2*n**5 - 8*n**3 + 6*n**5.
4*n**3*(n - 1)*(n + 2)
Let w = -39 + 41. Let y(t) be the second derivative of t + 0 + 1/4*t**4 - 1/10*t**6 + 1/2*t**3 + 0*t**w - 3/20*t**5. Suppose y(x) = 0. What is x?
-1, 0, 1
Let v(i) be the first derivative of -i**6/360 - i**5/120 + 7*i**3 + 1. Let s(y) be the third derivative of v(y). Let s(u) = 0. What is u?
-1, 0
Let j(s) be the second derivative of s**4/12 - 19*s**3/6 + 24*s**2 + 191*s. What is h in j(h) = 0?
3, 16
What is p in 24*p + 8*p - 24 + 18*p**2 + 7771*p**3 - 7805*p**3 + 2*p**5 + 6*p**4 = 0?
-6, -1, 1, 2
Let y(k) = -3*k**5 + 4*k**4 - 16*k**3 + 14*k**2 - 9*k. Let h(x) = x**2 - x**3 - x**4 + 29*x**5 - 2*x**2 - 1 - 30*x**5. Let u(i) = -2*h(i) + y(i). Factor u(d).
-(d - 2)*(d - 1)**4
Let s = -970 + 975. Let d(o) be the third derivative of 4*o**2 - 2/3*o**4 - 3/10*o**6 + 0*o + 0*o**3 + 0 - 4/5*o**s. Factor d(m).
-4*m*(3*m + 2)**2
Let a(f) = 928*f**3 + 2*f**2 - 2. Let q be a(1). Let k be q/288 + 2/(-9). What is c in 1/6*c**2 + 0 + 1/6*c - 1/6*c**k - 1/6*c**4 = 0?
-1, 0, 1
Let d(a) be the second derivative of -1/48*a**4 + 0 + 0*a**2 - 1/24*a**3 + 14*a. Suppose d(t) = 0. Calculate t.
-1, 0
Factor -52/3*d - 676/3 - 1/3*d**2.
-(d + 26)**2/3
Let n(w) = -w**2 - 4*w + 8. Let a be n(-6). Let m be -1*(-3 - 10/a). Factor 0 - 1/2*d**3 - m*d - d**2.
-d*(d + 1)**2/2
Find w such that 32/5 - 4/5*w**2 - 8/5*w = 0.
-4, 2
Let d be 5 + (20 - 0)/(-4). Let j(k) be the second derivative of d + 3*k - 1/3*k**2 - 1/27*k**3 + 1/27*k**4. Determine p so that j(p) = 0.
-1, 3/2
Factor 13*d**2 - d**4 - 6*d**3 - 9*d**2 - d**3 - 6*d - 8*d**2 + d**5 + 17*d**2.
d*(d - 2)*(d - 1)**2*(d + 3)
Let y(z) be the third derivative of z**7/490 - 3*z**6/280 + z**5/70 + 12*z**2 - z. Factor y(d).
3*d**2*(d - 2)*(d - 1)/7
Factor 1/5*p + 1/5*p**2 - 2/5*p**3 + 0.
-p*(p - 1)*(2*p + 1)/5
Suppose -5*x - 36 = -21. Let a be -1*x*5/30*4. Factor -3/2*w + 3/2*w**4 + w**3 + 1/2*w**5 - w**a - 1/2.
(w - 1)*(w + 1)**4/2
Let i = 956 + -952. Let w(u) be the second derivative of -1/120*u**6 - i*u - 1/168*u**7 + 0 + 1/48*u**4 + 1/80*u**5 + 0*u**2 + 0*u**3. Factor w(r).
-r**2*(r - 1)*(r + 1)**2/4
Let 2548 + 370*r - 2548 - 5*r**2 = 0. Calculate r.
0, 74
Let n(c) = -7*c**2 - 40*c - 80. Let s(r) = 560 - 9*r + 28*r**2 + 289*r - 4*r**2 + 26*r**2. Let i(g) = 15*n(g) + 2*s(g). Factor i(d).
-5*(d + 4)**2
Factor -23*z**2 - 10*z**2 + 58*z**2 + 1370*z + 93845 - 20*z**2.
5*(z + 137)**2
Let q(x) be the first derivative of x**5/5 + 7*x**4 - 10*x**3 - 14*x**2 + 29*x + 108. Find b, given that q(b) = 0.
-29, -1, 1
Suppose 6*q + 4 = 22. Let d be (-11)/(-14) - -1 - 36/24. Factor -18/7*m**q - d*m**5 + 10/7*m**4 + 2*m**2 - 4/7*m + 0.
-2*m*(m - 2)*(m - 1)**3/7
Let f(b) be the second derivative of b**6/15 - 13*b**5/20 - 2*b**4 - b**3/6 + 4*b**2 + 4*b + 97. Factor f(v).
(v - 8)*(v + 1)**2*(2*v - 1)
Let h be (-25)/(-7) - (-6)/(-42)*-3. Let a(k) be the first derivative of 1/9*k**3 + 1/24*k**4 + 0*k**2 + 0*k - h. Factor a(b).
b**2*(b + 2)/6
Solve 0 - 60/7*u + 2/7*u**2 = 0.
0, 30
Factor 0 + 3/4*k**3 + 0*k + 3/4*k**4 + 0*k**2.
3*k**3*(k + 1)/4
Let d be (96/72)/(4/6). Solve t**4 + d*t**4 - 15*t**2 - 3*t**5 + 2605*t**3 - 2596*t**3 + 6*t = 0 for t.
-2, 0, 1
Suppose 66*t = -27*t. Determine u, given that 3*u**3 + 0*u - 3/2*u**2 + t - 3/2*u**4 = 0.
0, 1
Let a(w) = w**3 - 7*w**2 - 9*w + 11. Let p be a(8). Factor 0*n**3 + 0*n**3 - 5*n**4 + 0*n**p - 10*n**3.
-5*n**3*(n + 2)
Let i(o) be the third derivative of o**8/336 - o**7/35 + o**6/10 - 2*o**5/15 + 4*o**2 - 6*o. Factor i(m).
m**2*(m - 2)**3
Suppose 3*v - l - 20 = -6, -26 = -2*v + 4*l. Factor 2/5*z**4 + 2/5*z**v + 0 + 0*z**2 + 0*z.
2*z**3*(z + 1)/5
Let x be (-3 + 11/2)*2. Let -11*q + 7 - 3 + 9*q**2 - x*q**2 + 19*q = 0. What is q?
-1
Let l(b) be the first derivative of 0*b**2 - 2/3*b**3 + 7 + 0*b + 1/8*b**4. Determine v so that l(v) = 0.
0, 4
Let v(j) be the first derivative of 0*j - 3/16*j**4 + 0*j**2 + 9 + 1/4*j**3. Suppose v(x) = 0. What is x?
0, 1
Let m(h) = -h**4 - 12*h**3 - 32*h**2 - 4*h. Let a(i) = 3*i**4 + 36*i**3 + 97*i**2 + 11*i. Let d(g) = 4*a(g) + 11*m(g). Factor d(f).
f**2*(f + 6)**2
Let m(j) be the third derivative of -j**7/70 + j**6/10 - 2*j**4 + 8*j**3 + 19*j**2. Factor m(a).
-3*(a - 2)**3*(a + 2)
Let p(l) = 2 + 0 + 2*l - 6. Let f be p(3). Find m, given that -5*m**4 + 10*m**f + 3*m**4 + 4*m - 4*m**2 = 0.
-1, 0, 2
Let l(z) = 4*z**3 - 8*z**2 - 3*z - 3. Let h(w) = 23 + 15*w - 7 + 25*w**2 + w + 15*w**2 - 20*w**3. Let d(s) = 3*h(s) + 16*l(s). Solve d(g) = 0 for g.
0, 2
Factor 0*b + 3*b**3 + 9/5*b**2 + 0 + 3/5*b**4 - 3/5*b**5.
-3*b**2*(b - 3)*(b + 1)**2/5
Factor 5*i**3 + 272 - 48*i**2 - 320*i + 52*i**2 + 139 + 61*i**2 - 71.
5*(i - 2)**2*(i + 17)
Let g = -145 - -203. Factor 12*a**2 + 7*a**2 - 23*a**2 - 14*a + g*a.
-4*a*(a - 11)
Suppose -12*o + 14 = -22. What is k in -2*k**2 - 4*k**o + k + 2*k**4 + 2*k + 2*k**5 - k**5 = 0?
-3, -1, 0, 1
Let k(s) be the second derivative of -11/24*s**4 + 1/4*s**5 - 11*s - 4/3*s**3 + 0 - s**2. Let k(r) = 0. What is r?
-1/2, -2/5, 2
Suppose 96 + 357/4*x**4 - 600*x - 27/4*x**5 + 846*x**2 - 849/2*x**3 = 0. What is x?
2/9, 1, 4
Let s(p) be the third derivative of -p**8/30240 - p**7/7560 + 3*p**5/10 + 10*p**2. Let g(m) be the third derivative of s(m). Suppose g(b) = 0. What is b?
-1, 0
Let g be (-1169)/(-1155) + 3/2. Let y = g - 2/165. Factor -3/2*l - 1 + y*l**2.
(l - 1)*(5*l + 2)/2
Determine y, given that -36*y**3 + 54*y - 1173*y**2 + 1197*y**2 + 38*y**3 = 0.
-9, -3, 0
Let d(o) be the first derivative of -o**6/36 + 2*o**5/15 + 10*o**4/3 - 32*o**3/9 - 512*o**2/3 - 2048*o/3 + 4. Solve d(u) = 0.
-4, 8
Let h be 5*2/5 + 221/(-117). Let u(k) be the first derivative of 10 + 0*k + h*k**3 + 1/6*k**2. Factor u(w).
w*(w + 1)/3
Factor 0 + 0*x**3 - 4/3*x**4 + 0*x**2 - 1/3*x**5 + 0*x.
-x**4*(x + 4)/3
Find g such that 11*g**3 + 4*g**4 + g**5 - 8*g**3 - 8*g**4 = 0.
0, 1, 3
Determine x so that 8/9 + 2/9*x**3 + 16/9*x + 10/9*x**2 = 0.
-2, -1
Let k(g) be the second derivative of -1/48*g**4 - 1/8*g**2 + 0 - 30*g - 1/12*g**3. Suppose k(x) = 0. What is x?
-1
Let g(a) = a**2 - a - 6. Let p be g(5). Let s(o) = -2*o + 33. Let t be s(p). Suppose -2/9*q**4 + 0 + 2/9*q**2 + 2/9*q**t - 2/9*q**3 + 0*q = 0. What is q?
-1, 0, 1
Let d(s) be the first derivative of -5/4*s**2 - 13 + 13/12*s**3 - 7/32*s**4 - s. Factor d(j).
-(j - 2)**2*(7*j + 2)/8
Suppose 2*c - 37 = 41. Let g be 21/7 - 111/c. Determine z so that g*z**2 + 0 + 2/13*z = 0.
-1, 0
Let q(m) be the second derivative of 1/35*m**5 + 0*m**4 + 0 - 2/21*m**3 + 17*m + 0*m**2. Factor q(n).
4*n*(n - 1)*(n + 1)/7
Let r(j) = j**2 - 15*j + 55. Let o be r(6). Let q(i) be the first derivative of 3/5*i**5 + 0*i**2 + 0*i**3 - 3/4*i**4 + o + 0*i. Suppose q(u) = 0. What is u?
0, 1
Let a(d) be the third derivative of -5/4*d**4 - 11/42*d**7 + 0*d + 0 + 5/112*d**8 + 0*d**3 + 1/8*d**6 - 11*d**2 + 11/12*d**5. Determine g so that a(g) = 0.
-1, 0, 2/3, 1, 3
Suppose 42*u - 40*u = 4. Determine b, given that -2*b**2 - 4*b**3 + 3*b**3 - 4*b**3 - b**5 + u*b**4 - 6*b**4 = 0.
-2, -1, 0
Let x = 4427/14430 - -1/1110. Factor x + 10/13*h + 2/13*h**3 + 8/13*h**2.
2*(h + 1)**2*(h + 2)/13
Determine l, given that 0 - 2/13*l**3 + 2/13*l**2 + 12/13*l = 0.
-2, 0, 3
Find k, given that 3/2*k**2 + 8*k + 6 - 1/2*k**3 = 0.
-2, -1, 6
Let r = -8 + 2. Let d be 1 + 3/(-9)*r. Suppose 224*z**4 + 3*z - 57*z**4 + 60*z**3 + 169*z**4 + 39*z**2 + 120*z**d + 192*z**5 = 0. Calculate z.
-1, -1/4, 0
Let z(f) be the third derivative of -2*f**2 + 0*f - 4/9*f**3 - 2/45*f**5 - 5/18*f**4 + 0. Factor z(y).
-4*(y + 2)*(2*y + 1)/3
Suppose -g - 3*c = -21, c - 4*c = 5*g - 69. Solve 9*r**3 + 3*r**5 + 3*r**2 + 0*r**5 - 3*r**4 - g*r**3 = 0.
-1, 0, 1
Let k