*g**3.
6*g**2*(g - 2)*(g + 2)**2/5
Let w = -14911 - -29823/2. Factor w*o**5 - 2*o**3 + o**2 + 3/2*o + 0*o**4 - 1.
(o - 1)**3*(o + 1)*(o + 2)/2
Let j = 376/93 - 84/31. Let z(o) be the first derivative of 6*o**2 - j*o**3 - 3 - 8*o. Solve z(b) = 0 for b.
1, 2
Let b(c) be the first derivative of -12/7*c - 9/14*c**4 - 13/7*c**3 - 3/35*c**5 - 18/7*c**2 - 17. Let b(a) = 0. What is a?
-2, -1
Let o(n) be the second derivative of n**5/110 + n**4/33 - n**3/33 - 2*n**2/11 + 97*n + 2. Suppose o(z) = 0. Calculate z.
-2, -1, 1
Let i(v) be the third derivative of 30*v**2 + 0*v + 0 + 1/180*v**5 + 1/18*v**4 + 0*v**3. Factor i(z).
z*(z + 4)/3
Let h = -14/243 - 40067/486. Let a = 84 + h. Solve -k + 1/4*k**4 + 1/4 + a*k**2 - k**3 = 0.
1
Let c(z) be the third derivative of 1/12*z**3 + 1/840*z**7 - 1/80*z**5 + 9*z**2 + 0 - 1/96*z**4 + 1/480*z**6 + 0*z. Let c(i) = 0. What is i?
-2, -1, 1
Let -325 - 301 - 20*i - 2*i**2 - 22 + 92*i = 0. Calculate i.
18
Let d = 1 - 6. Let y = d + 8. Suppose y*q**3 + 7 - q**3 - 7 = 0. Calculate q.
0
Let v(o) be the third derivative of o**5/240 + o**4/16 + 3*o**3/8 + 62*o**2. Let v(s) = 0. Calculate s.
-3
Let w = 27475 + -27471. Find d, given that -16/7*d**w - 4/7*d**5 + 0 + 12/7*d**3 + 8*d**2 + 32/7*d = 0.
-4, -1, 0, 2
Let z be (-1 - 2)/1*(0 - 3). Suppose -z*d + 29 = 2. Let -2/5*r**d + 0 - 8/5*r + 8/5*r**2 = 0. Calculate r.
0, 2
Let r = 1221 + 633. Solve 540*k - 39 + 54*k**2 - 15 - r*k**2 + 701*k**3 + 1299*k**3 = 0 for k.
3/10
Let r = -4223/30 - -79/15. Let v = r - -140. Solve v*o + 9/2*o**2 + 3/2*o**3 + 3/2 = 0.
-1
Let n be (-1100)/(-150)*2/4 - -3. Find i, given that -n*i**3 + 2/3*i**4 + 74/3*i**2 - 40*i + 24 = 0.
2, 3
Determine y so that 915*y - 820*y**3 - 57 - 33 - 347*y**2 - 6*y**2 - 95*y**5 - 137*y**2 + 580*y**4 = 0.
-1, 2/19, 1, 3
Suppose 0*m + 3*m + 40 = -4*x, -5*m - 80 = 4*x. Let n be ((-4)/m)/(-1)*-31 + -5. Factor 9/5*q**5 - 27/5*q**2 + 0 + n*q - 33/5*q**4 + 9*q**3.
3*q*(q - 1)**3*(3*q - 2)/5
Determine d so that -2184*d - 3*d**3 + 534 - 165*d**2 + 700 + 1118 = 0.
-28, 1
Let v(x) = 3*x**4 + 51*x**3 - 136*x**2 - 60*x. Let d(s) = -24*s**4 - 357*s**3 + 951*s**2 + 420*s. Let y(f) = 4*d(f) + 27*v(f). Factor y(o).
-3*o*(o - 2)*(o + 5)*(5*o + 2)
Solve 28/5*z**3 + 4524/5*z + 144*z**2 - 1352/5 = 0 for z.
-13, 2/7
Let b(j) be the first derivative of 5*j**3/12 - 65*j**2/8 - 102. Determine y, given that b(y) = 0.
0, 13
Find n, given that -11/7*n**3 - 8/7*n**2 + 0 + 20/7*n - 1/7*n**4 = 0.
-10, -2, 0, 1
Let w = 685/54 + -10919/837. Let h = -6/31 - w. Let 0 + 1/2*v - h*v**2 = 0. What is v?
0, 3
What is o in 2/11*o**2 + 0 - 10/11*o = 0?
0, 5
Let j be ((-6)/(-4))/(2/(-220)*-1). Factor 70 + j*h - 16*h**2 - 6*h**2 - 3*h**2.
-5*(h - 7)*(5*h + 2)
Let m(a) be the third derivative of a**8/112 + 13*a**7/210 + 19*a**6/120 + 11*a**5/60 + a**4/12 + 697*a**2. Solve m(o) = 0.
-2, -1, -1/3, 0
Let d(z) be the second derivative of 2*z**7/21 + 2*z**6/15 - 19*z**5/5 - 49*z**4/3 - 20*z**3 - 477*z. Suppose d(k) = 0. What is k?
-3, -2, -1, 0, 5
Let c(y) = 3*y**2 - 39*y - 199. Let v be c(17). Find f such that -11/2*f**3 + v*f**2 - 3/2*f + 2*f**4 + 0 = 0.
0, 3/4, 1
Let f(n) be the second derivative of -81*n**5/8 - 205*n**4/6 - 425*n**3/12 - 5*n**2/2 + 55*n. Let f(w) = 0. Calculate w.
-1, -2/81
Let m(x) be the first derivative of 2*x**3/27 + 137*x**2/9 + 272*x/9 + 41. Factor m(d).
2*(d + 1)*(d + 136)/9
Let a(k) be the second derivative of -k**8/84 - k**7/168 + k**6/18 + k**5/24 - k**3/3 + 6*k. Let z(d) be the second derivative of a(d). Factor z(s).
-5*s*(s - 1)*(s + 1)*(4*s + 1)
Factor -2/9*z**2 + 20/9*z + 22/9.
-2*(z - 11)*(z + 1)/9
Let g(r) = 726*r**2 + 253*r + 35. Let c(t) be the third derivative of -121*t**5/30 - 7*t**4/2 - 2*t**3 + 9*t**2. Let x(s) = 11*c(s) + 4*g(s). Factor x(u).
2*(11*u + 2)**2
Let m(b) = 3*b + 16. Let o be m(-4). Suppose -o*x**2 + 5*x**2 - 2*x**2 + x = 0. What is x?
0, 1
Let v(r) be the third derivative of -11*r**2 + 1/240*r**6 + 0*r + 1/840*r**7 + 0 - 1/80*r**5 + 1/6*r**3 - 1/24*r**4. Factor v(g).
(g - 1)**2*(g + 2)**2/4
Let s = 1133/1532 - -4/383. Let -s*o + 3/4*o**3 + 3/8*o**2 + 0 - 3/8*o**4 = 0. What is o?
-1, 0, 1, 2
Let j(a) be the first derivative of a**6/90 - 7*a**5/15 + 49*a**4/6 - 5*a**3/3 - 23. Let h(s) be the third derivative of j(s). Factor h(q).
4*(q - 7)**2
Suppose 26*h = 32*h + 31*h - 74. Let 1/2 - x**h + 1/2*x**4 + 0*x**3 + 0*x = 0. What is x?
-1, 1
Let u(h) be the first derivative of 0*h + 0*h**3 + 0*h**2 - 14 + 0*h**4 - 1/12*h**6 + 1/10*h**5. Find r such that u(r) = 0.
0, 1
Let b(f) = -10*f**2 + 48*f + 115. Let u(x) = 28*x**2 - 144*x - 344. Let m(j) = -8*b(j) - 3*u(j). Suppose m(v) = 0. Calculate v.
-2, 14
Let j(r) be the second derivative of r**7/42 + 11*r**6/15 + 141*r**5/20 + 55*r**4/3 + 50*r**3/3 + 96*r. Factor j(y).
y*(y + 1)**2*(y + 10)**2
Let n(r) be the third derivative of -r**8/4200 + r**7/1050 + r**6/900 - r**5/150 - 3*r**3/2 - 8*r**2. Let p(f) be the first derivative of n(f). Factor p(o).
-2*o*(o - 2)*(o - 1)*(o + 1)/5
Let m(p) be the first derivative of 0*p - 1/8*p**4 + 1/4*p**2 + 1/6*p**3 - 10 - 1/10*p**5. Factor m(v).
-v*(v - 1)*(v + 1)**2/2
Let a(b) be the first derivative of -b**7/1260 - b**6/180 - b**5/90 - 9*b**2/2 - 8. Let i(z) be the second derivative of a(z). Let i(r) = 0. What is r?
-2, 0
Let f(b) be the third derivative of b**8/840 + b**7/175 - b**6/100 - 7*b**5/150 + b**4/10 + 62*b**2. Find i, given that f(i) = 0.
-3, -2, 0, 1
Suppose -5*z = x + 5, 3*z - x = -0*z + 5. Let d = 14659 - 14654. Factor 1/2*m**2 - 1/2*m**4 + 0*m**3 - 1/4*m + 1/4*m**d + z.
m*(m - 1)**3*(m + 1)/4
Let a(h) be the third derivative of -17*h**6/1080 + 11*h**5/90 - 5*h**4/18 - 4*h**3/27 + 60*h**2. Factor a(o).
-(o - 2)**2*(17*o + 2)/9
Let s(w) be the first derivative of -1/6*w**4 + 55 + 20/3*w - w**2 - 4/3*w**3. Solve s(v) = 0 for v.
-5, -2, 1
Determine g, given that 1/3*g**3 + 2/3*g**2 - 1/3*g**5 + 0*g - 2/3*g**4 + 0 = 0.
-2, -1, 0, 1
Let c(s) = -s**2 + 18*s + 22. Let h be c(19). Factor -8*y**5 + 6*y**5 + y**4 - y**2 + h*y**5 + 2*y - 3*y**3.
y*(y - 1)**2*(y + 1)*(y + 2)
Let j(p) be the third derivative of p**5/40 - p**4/4 - 5*p**3/4 - 62*p**2. Factor j(x).
3*(x - 5)*(x + 1)/2
Let u(q) be the first derivative of -1/8*q**4 + q + 24 + 1/4*q**2 - 1/3*q**3. Factor u(w).
-(w - 1)*(w + 1)*(w + 2)/2
Let z = -1956 - -1956. Factor z - 5/3*c - 5/3*c**2.
-5*c*(c + 1)/3
Let z(t) be the first derivative of t**6/30 + t**5/10 - 2*t**4/3 + 15*t + 2. Let c(j) be the first derivative of z(j). Find b, given that c(b) = 0.
-4, 0, 2
Determine w so that 22/5 + 7/5*w**3 + 86/5*w**2 + 101/5*w = 0.
-11, -1, -2/7
Let z(v) be the third derivative of v**8/336 - 3*v**7/70 - 11*v**6/60 - v**5/30 + 7*v**4/8 + 11*v**3/6 + 124*v**2. Factor z(y).
(y - 11)*(y - 1)*(y + 1)**3
Suppose 8 + 2 = 4*z + 2*w, 4*z + 3*w = 7. Let o(g) be the first derivative of -7 - 1/2*g**z - 4*g + 4/3*g**3 + g**2. Find y such that o(y) = 0.
-1, 1, 2
Let g(n) = 2*n**3 + 15*n**2 - 24*n + 29. Let q be g(-9). What is m in 0 - 4/5*m**3 + 8/5*m**4 + 0*m - 4/5*m**q = 0?
-1/2, 0, 1
Determine x so that -454/5*x**2 - 216/5*x - 58/5*x**4 - 288/5*x**3 + 8/5 = 0.
-2, -1, 1/29
Let h(p) be the third derivative of p**7/210 - 7*p**5/60 - p**4/4 + 462*p**2. Determine w, given that h(w) = 0.
-2, -1, 0, 3
Let w(i) be the third derivative of -i**5/570 + i**4/114 + 32*i**2. Solve w(r) = 0.
0, 2
Let u be 6/(-15) + 39/60. Suppose 0 = -11*j + 30 + 3. Factor 5/4*x - 1/2 - 3/4*x**2 + 1/4*x**4 - u*x**j.
(x - 1)**3*(x + 2)/4
Let m(i) be the first derivative of -i**4/24 - i**3/6 + 23*i**2/6 + 8*i - 297. Factor m(g).
-(g - 6)*(g + 1)*(g + 8)/6
Determine u so that 4 + 11*u**2 + 6*u**2 - 4 + 55*u**2 - 3*u**3 = 0.
0, 24
Suppose 3*p + 99 - 114 = 0. Let h(m) = -m**2 + 7*m - 2. Let y be h(6). Factor 0*z**2 + 0*z + 0 + 2/7*z**p + 2/7*z**3 + 4/7*z**y.
2*z**3*(z + 1)**2/7
Let p(o) be the second derivative of -o**7/12 + 3*o**6/20 + 3*o**5/10 - o**4/6 + 66*o - 1. Suppose p(m) = 0. What is m?
-1, 0, 2/7, 2
Let f(r) be the third derivative of -r**6/30 - 19*r**5/5 - 36*r**4 - 424*r**3/3 + 74*r**2 - 2. Solve f(z) = 0 for z.
-53, -2
Suppose 44*j - 36 = 96. Factor 0*g + 0 - 1/2*g**2 + g**j.
g**2*(2*g - 1)/2
Let z(k) be the first derivative of 0*k**2 + 0*k + 13 - 2/11*k**3. Factor z(g).
-6*g**2/11
Let d(t) be the second derivative of