o. Suppose o + g - g**2 - 1 - 3*g + 0*g = 0. Calculate g.
-1
Suppose 2*n - 18 = -5*b, -32 + 13 = -5*b - n. Suppose b*m = -0*m. Solve 9 - 5 + 6*s + m*s**2 + 2*s**2 = 0 for s.
-2, -1
Let i be (0 - 18/(-5)) + 282/(-470). Let k(l) be the third derivative of 0 + l**2 + 0*l + 2/3*l**i - 1/15*l**5 - 1/6*l**4 + 1/30*l**6. Factor k(t).
4*(t - 1)**2*(t + 1)
Let d(t) be the second derivative of t**4/12 - 125*t**3/3 + 15625*t**2/2 - 713*t. Find l such that d(l) = 0.
125
Let k be 244 + 6 + (-8)/2. Find q, given that -k - 2*q + 246 + 2*q**3 = 0.
-1, 0, 1
Let t(r) be the first derivative of -8/9*r**3 + 8/3*r**2 - 10 + 0*r + 1/12*r**4. Factor t(g).
g*(g - 4)**2/3
What is j in 736/3 + 500/3*j**4 + 4680*j**2 - 12100/3*j**3 - 5552/3*j = 0?
2/5, 23
Let h(j) be the second derivative of -2*j**6/135 + j**5/90 - 2*j - 91. Let h(f) = 0. Calculate f.
0, 1/2
Let d(k) be the first derivative of -k**3/9 - 5*k**2/3 + 11*k/3 + 138. Let d(m) = 0. What is m?
-11, 1
Suppose 2*n = -0*n. Let a = n + 5. Factor -3*z**4 + a*z**3 - 15*z**3 - 7*z**2 + 3*z + z + 4.
-(z + 1)**2*(z + 2)*(3*z - 2)
Let x = 782 - 777. Let -11/2*o + x + 1/2*o**2 = 0. What is o?
1, 10
Suppose -128 = 99*m - 115*m. Let n(x) be the second derivative of 4/5*x**2 - 1/50*x**5 - m*x - 1/30*x**4 + 4/15*x**3 + 0. Factor n(b).
-2*(b - 2)*(b + 1)*(b + 2)/5
Let w(i) be the second derivative of 1/8*i**5 + 0*i**2 + 11 + 1/60*i**6 + 1/3*i**3 + 1/3*i**4 + 2*i. Let w(q) = 0. What is q?
-2, -1, 0
Suppose 3*c + 346 = 4*o, -3*c = -o - 7 + 98. Let p = 87 - o. Factor 2/7*u**p + 0*u + 0.
2*u**2/7
Let d = -33033/2 - -16517. Let -5/4*m**3 - d*m**4 + 1/4*m**5 - 2 + m + 5/2*m**2 = 0. Calculate m.
-2, -1, 1, 2
Suppose -m + v + 4 = 0, -v + 8 = 4*m + m. Determine i, given that -5*i**4 + m*i**3 + 3*i**4 + 6*i**2 - 4*i**2 - 2*i = 0.
-1, 0, 1
Let h(s) be the third derivative of s**9/3780 - s**8/1680 - s**7/630 + s**6/180 - s**4/8 + 2*s**2. Let g(u) be the second derivative of h(u). Factor g(z).
4*z*(z - 1)**2*(z + 1)
Let p = 43 - 40. Factor -i**p + 2*i**5 + i**5 - 4*i**5 + 2*i**5.
i**3*(i - 1)*(i + 1)
Factor -2/3*w**3 + 74/3*w - 38/3 - 34/3*w**2.
-2*(w - 1)**2*(w + 19)/3
Let n = -732 - -735. Let i(m) be the third derivative of 0*m**n + 0*m**4 + 0*m - 1/735*m**7 + 1/210*m**5 + 0 - 3*m**2 + 0*m**6. Factor i(q).
-2*q**2*(q - 1)*(q + 1)/7
Suppose 2*o - 4*r = -10, 5*o + 2*r - 8 = 15. Factor 5*j**2 - 4*j**o + 12*j**3 - 3*j**3.
5*j**2*(j + 1)
Let y(o) be the third derivative of 0*o + 1/36*o**4 + 10*o**2 + 0*o**3 + 0 + 1/180*o**6 + 1/45*o**5. Let y(q) = 0. What is q?
-1, 0
Let v(t) be the first derivative of -5/12*t**4 + 5/9*t**3 - 20/3*t - 3 + 10/3*t**2. Find j, given that v(j) = 0.
-2, 1, 2
Factor -10/11*n + 12/11 - 2/11*n**2.
-2*(n - 1)*(n + 6)/11
Factor 12*x**3 - 16*x**2 - 4*x**4 + 8*x + 1/2*x**5 + 0.
x*(x - 2)**4/2
Let a(z) be the first derivative of -3*z**7/70 + z**6/50 + z**5/20 + z**4/60 + z - 11. Let i(m) be the first derivative of a(m). Factor i(q).
-q**2*(q - 1)*(3*q + 1)**2/5
Let y(i) be the first derivative of i**4/4 + 11*i**3/3 - 13*i**2/2 - 9*i + 10. Let u be y(-12). Factor -1/2 + n**4 + 3/2*n - 3/2*n**u - 1/2*n**2.
(n - 1)**2*(n + 1)*(2*n - 1)/2
Let p be 3*(-28)/(-480) - 1/8. Let t(u) be the second derivative of 0 + 5/8*u**4 - 1/2*u**3 + 3*u + p*u**6 - 3/10*u**5 + 0*u**2. Factor t(q).
3*q*(q - 2)*(q - 1)**2/2
Let o(y) = -2*y**3 - 18*y**2 - 150*y - 148. Let l(f) = -f**3 - 19*f**2 - 149*f - 150. Let j(k) = 6*l(k) - 5*o(k). Factor j(s).
4*(s - 10)*(s + 2)**2
Suppose -z + 2*z = -5*q + 14, -5*q = 4*z - 26. Suppose -5*i + 3*j + 30 = 0, -j + 24 = 4*i + 2*j. Factor 21*s**3 - 2*s**q + 4*s**2 - 21*s + i - 8*s**2.
3*(s - 1)*(s + 1)*(7*s - 2)
Let s(c) be the first derivative of -9/5*c - 1/15*c**3 - 4 - 3/5*c**2. Determine q, given that s(q) = 0.
-3
Suppose -4*y = 3*r - 7, 0 = 4*r - 7*r + 4*y + 23. Let f(d) be the second derivative of -d + 3/26*d**4 - 1/130*d**r - 8/13*d**3 + 16/13*d**2 + 0. Factor f(o).
-2*(o - 4)**2*(o - 1)/13
Let f(a) = -a**4 - 9*a**3 + 29*a**2 - 15*a. Let r(q) = 4*q**4 + 45*q**3 - 146*q**2 + 75*q. Let b(w) = 11*f(w) + 2*r(w). Find k such that b(k) = 0.
-5, 0, 1
Let z be 2/(-5)*2/(-4). Determine y so that 9/5*y + z*y**3 - 6/5*y**2 + 0 = 0.
0, 3
Let n = -22 - -13. Let x = -6 - n. Factor 15 + 11*a**x - 22*a + 12*a - 20*a**2 + a**4 + 4*a**4 - a**3.
5*(a - 1)**2*(a + 1)*(a + 3)
Let l be (1/(-36))/(-9*5/6). Let f(x) be the third derivative of -6*x**2 + 0 + 0*x + 1/9*x**3 + l*x**5 + 5/108*x**4 - 1/540*x**6. Find i such that f(i) = 0.
-1, 3
Let m(k) be the second derivative of -2*k**7/7 + 73*k**6/10 - 513*k**5/10 + 81*k**4/4 + 71*k + 1. Suppose m(o) = 0. Calculate o.
0, 1/4, 9
Let q be ((-1)/1)/(((-15)/6)/5). Let n(m) be the first derivative of 0*m + 1/3*m**q + 5 + 2/9*m**3. Factor n(l).
2*l*(l + 1)/3
Let o(m) be the second derivative of 12*m + 0*m**2 + 0 - 1/18*m**4 - 7/9*m**3. Factor o(g).
-2*g*(g + 7)/3
Suppose 11*j - 14*j + 24 = 0. Factor -335*c**3 - 10*c**2 - 6*c**2 - j*c**4 + 299*c**3.
-4*c**2*(c + 4)*(2*c + 1)
Factor -8/3*s + 2/3*s**4 - 8/3 + 8/3*s**3 + 2*s**2.
2*(s - 1)*(s + 1)*(s + 2)**2/3
Factor -12 - 3/2*h**2 + 27/2*h.
-3*(h - 8)*(h - 1)/2
Let g(w) = 15*w**4 + 95*w**3 + 31*w**2 - 617*w + 200. Let h(u) = 29*u**4 + 189*u**3 + 61*u**2 - 1235*u + 400. Let t(q) = 5*g(q) - 3*h(q). What is k in t(k) = 0?
-5, 1/3, 2
Find a, given that -20*a**5 - 414*a**3 - 632*a**4 - 2162*a**3 + 2048*a**2 - 2288*a**3 = 0.
-16, 0, 2/5
Find p such that -1/6*p**5 + 0 - 1/6*p**4 + 0*p**2 + 0*p + 0*p**3 = 0.
-1, 0
Let p = -35629/18 + 3959/2. Factor -p*z**2 + 1/9 - 1/9*z + 1/9*z**3.
(z - 1)**2*(z + 1)/9
Suppose -67 = -10*j - 17. Factor -r**3 - 44 + 2*r**4 - r**j + 44.
-r**3*(r - 1)**2
Determine s, given that 1/5*s**3 + 48/5*s + 36/5 + 13/5*s**2 = 0.
-6, -1
Let d(j) be the first derivative of -j**4/2 - 8*j**3/3 + 11*j**2 - 12*j - 51. Factor d(c).
-2*(c - 1)**2*(c + 6)
What is w in -10/3*w**3 - 35/3*w**5 + 15*w + 5/3 - 25*w**4 + 70/3*w**2 = 0?
-1, -1/7, 1
Suppose 1 + 6 = 7*u. Let j be (u - (0 + (0 - -1)))/(-2). Let 4/3*c**3 - 1/3 + j*c**2 - c = 0. What is c?
-1/2, 1
Let o(y) be the third derivative of -y**6/8 - 13*y**5/20 - y**4/2 + 2*y**3 - 292*y**2. Factor o(s).
-3*(s + 1)*(s + 2)*(5*s - 2)
Let f(v) be the second derivative of 1/4*v**2 + 11/80*v**5 + 0 + 3/8*v**3 + 5/16*v**4 + 1/40*v**6 + v. Suppose f(n) = 0. What is n?
-1, -2/3
Let u(y) be the third derivative of -y**8/84 - 4*y**7/35 + 4*y**6/15 + 2*y**5/5 - 7*y**4/6 + 16*y**2 + 4. Determine g so that u(g) = 0.
-7, -1, 0, 1
Let c(q) = -7*q**2 + 7*q + 12. Let p(s) = 11*s**2 - 11*s - 18. Suppose -g + 5*g = -20. Let h(d) = g*p(d) - 8*c(d). Factor h(y).
(y - 3)*(y + 2)
Suppose 3*w = -35 + 8. Let n = 12 + w. Factor -4*z - n + 9*z**4 + 10*z - 6*z**3 - 6*z**4.
3*(z - 1)**3*(z + 1)
Let i(y) be the first derivative of -5*y**4/4 - 5*y**3 + 45*y**2/2 - 25*y - 264. Determine m so that i(m) = 0.
-5, 1
Let r = 62 - 59. Let d(l) = 4*l + 8*l**2 - 4*l**3 - 4*l**4 - 4*l. Let j(f) = 4*f**4 + 3*f**3 - 7*f**2. Let u(a) = r*d(a) + 4*j(a). Factor u(t).
4*t**2*(t - 1)*(t + 1)
Suppose 7*f = 12*f. Let x be ((-10)/(-25))/(1 + (-4)/5). Suppose -2/7*s**x + f + 2/7*s = 0. Calculate s.
0, 1
Let v(r) = r + 12. Let a be v(-7). Factor -11 + 5*b**2 + a*b - 4 + 9*b - 4*b.
5*(b - 1)*(b + 3)
Let y(a) be the second derivative of -2*a**5/35 - 5*a**4/7 - 8*a**3/3 - 30*a**2/7 + 3*a - 2. Let y(m) = 0. Calculate m.
-5, -3/2, -1
Let z(f) be the first derivative of -10*f**3/3 + 9*f**2 - 8*f - 46. What is i in z(i) = 0?
4/5, 1
Suppose 4*o - 2*o - 68 = 0. Suppose -2*d = d - 5*h - o, 7 = -d - 2*h. Factor 4/5*x**d + 63/5*x**4 + 0 - 4/5*x**2 + 0*x.
x**2*(7*x + 2)*(9*x - 2)/5
Let n(a) be the second derivative of -4/15*a**6 + 2/3*a**4 + 0*a**2 - 1/5*a**5 + 2/21*a**7 - 3*a + 0*a**3 + 0. Factor n(j).
4*j**2*(j - 2)*(j - 1)*(j + 1)
Let r(d) be the first derivative of 0*d + 4 - 2*d**2 - 2/3*d**3. What is u in r(u) = 0?
-2, 0
Let j = -36 - -39. Suppose 30*x**j + 5*x**4 + 9*x**2 - 40*x**3 - 4*x**2 = 0. What is x?
0, 1
Let o be 2/2 + (-105)/(-21). Factor -21 + 9*j**2 - 9*j**4 + 21 + 3*j**3 - o*j + 3*j**5.
3*j*(j - 2)*(j - 1)**2*(j + 1)
Let u be (-1)/(2/(0 + -2)). Let g be 7 - (u - 7 - -4). Factor -12*p**2 - g*p**3 + 16 + 4*p**4 + p**3 + 8*p + 8*p.
4*(p - 2)**2*(p + 1)**2
Let g(p) be the third derivative of -p**4/12 - 22*p**3/3 + 17*p**2. Let b be g(-24). 