1. Let b(i) be the first derivative of k(i). Solve b(z) = 0 for z.
-1, 3
Let y = 23 - 18. Let n(o) be the second derivative of 1/3*o**2 - 1/30*o**y - 1/18*o**4 + o + 1/9*o**3 + 0. Factor n(f).
-2*(f - 1)*(f + 1)**2/3
Suppose -4*j + 18 + 2 = 0. Suppose -6 = 2*z + 5*t, t = j*z - 6 - 6. Factor -3/5*b**4 - 2/5*b**z + b**3 + 0 + 0*b.
-b**2*(b - 1)*(3*b - 2)/5
Let s(p) = 30*p**2 - 39*p + 30. Let o(a) = -3*a**2 + 4*a - 3. Let q(b) = 21*o(b) + 2*s(b). Suppose q(f) = 0. Calculate f.
1
Let l(h) be the first derivative of -9*h**4/28 + 2*h**3/21 + 6. Solve l(x) = 0.
0, 2/9
Let z(s) be the first derivative of s**4/24 + s**3/18 - s**2/6 + 6. Find l, given that z(l) = 0.
-2, 0, 1
Let s(r) be the first derivative of r**4/10 + 8*r**3/15 + r**2 + 4*r/5 + 3. Factor s(u).
2*(u + 1)**2*(u + 2)/5
Let n(j) = -j**4 + j**3 - j + 1. Let i(y) = -20*y**5 + 40*y**3 - 15*y**2 - 20*y + 15. Let z(a) = i(a) - 15*n(a). Determine b so that z(b) = 0.
-1, -1/4, 0, 1
Let x = 3 + -5. Let y be -2*((-1)/(-2) + x). Find k, given that -8 + k - k**y + 8 = 0.
-1, 0, 1
Let g(q) be the first derivative of -q**3/3 + q**2/10 + 36. Find m such that g(m) = 0.
0, 1/5
Let p be (-115)/20 - (-2)/(-8). Let m be (7/14)/((-1)/p). Factor 2*w**2 + 0*w**2 - 5 + m.
2*(w - 1)*(w + 1)
Let g(z) be the third derivative of 4/21*z**3 + 4*z**2 - 1/7*z**4 + 0*z + 0 + 1/60*z**6 - 3/70*z**5. Factor g(h).
2*(h - 2)*(h + 1)*(7*h - 2)/7
Let k(t) = t**4 + 6*t**3 + 6*t**2 - 6*t - 6. Let c(l) = -l**3 - l**2 + l + 1. Let y = -17 + 11. Let x(f) = y*c(f) - k(f). Factor x(n).
-n**4
Let k(s) be the first derivative of 0*s**2 + 0*s - 3/4*s**4 + 4 + s**3. Factor k(x).
-3*x**2*(x - 1)
Let f(o) = o**5 + o**4 - o**2. Let m(t) = 8*t**5 - 24*t**4 - 8*t**3 + 12*t**2. Let a(l) = 12*f(l) + m(l). Solve a(p) = 0.
-2/5, 0, 1
Let m be (-3)/(-12) - 197/772. Let d = 395/1737 + m. Factor -2/9*t**2 - d - 4/9*t.
-2*(t + 1)**2/9
Let h(f) be the second derivative of 0 + 1/120*f**6 + 2*f + 0*f**2 + 1/6*f**3 + 1/6*f**4 + 1/16*f**5. What is n in h(n) = 0?
-2, -1, 0
Let r(g) be the second derivative of -g**4/12 + g**3/8 + g**2/8 + 2*g. Solve r(z) = 0.
-1/4, 1
Let g = -5/12 - -3/4. Let a(m) be the third derivative of 0*m + 1/6*m**4 + 1/30*m**5 + g*m**3 + 0 - 2*m**2. Suppose a(p) = 0. What is p?
-1
Let m(y) = y**5 - y**4 - y**2 + 1. Let z(v) = -v**5 - 4*v**4 + 20*v**3 + 6*v**2 - 15*v - 6. Let q(a) = -4*m(a) + z(a). Solve q(b) = 0.
-1, 1, 2
Let k(j) = 4*j**3 + 2*j**2 - 16*j + 6. Let y(q) = -q**3 + q**2 + q + 1. Let w(x) = -k(x) - 2*y(x). Factor w(l).
-2*(l - 1)**2*(l + 4)
Let z(t) = -3*t**4 + 15*t**3 - 29*t**2 + 7*t + 10. Let m(o) = -15*o**4 + 75*o**3 - 144*o**2 + 36*o + 48. Let w(d) = -5*m(d) + 24*z(d). Factor w(v).
3*v*(v - 2)**2*(v - 1)
Let x = 517/12 + -43. Let a(i) be the third derivative of -x*i**3 + 0*i + 1/24*i**4 + 0 - 2*i**2 - 1/120*i**5. Find z, given that a(z) = 0.
1
Let k(u) = u**3 + u**2 + 1. Let h(r) = 5*r**3 + 9*r**2 + 6. Let x(y) = -h(y) + 6*k(y). Determine b so that x(b) = 0.
0, 3
Let h(g) be the third derivative of g**6/300 - g**5/150 + 5*g**2. Factor h(m).
2*m**2*(m - 1)/5
Let r be (-20)/(-3) - 2/(-6). Let p = -27 + 30. Solve -10*v**2 - p*v**5 - 5*v**5 + 6*v**3 + r*v**4 + 2*v + 3*v**4 = 0 for v.
-1, 0, 1/4, 1
Let 1 - 3*f + 1 - f**4 + 2 + 7*f - 4*f**3 - 3*f**2 = 0. What is f?
-2, -1, 1
Let z(m) be the third derivative of m**8/1680 - m**7/525 + m**6/600 - 6*m**2. Determine n so that z(n) = 0.
0, 1
Suppose -3*g + g - 5*v = -1, -4*v - 13 = -3*g. Suppose -r = -3*r. Factor 0 + 0*t**2 + r*t - 2/3*t**g - 2/3*t**4.
-2*t**3*(t + 1)/3
Suppose -2/19*p**3 - 2/19*p - 4/19*p**2 + 0 = 0. Calculate p.
-1, 0
Let t be (66/(-44))/(2/(-4)). Determine l, given that 0*l**2 + 0 - 2/3*l**t + 0*l = 0.
0
Determine w, given that -2/9*w**2 + 8/9 + 0*w = 0.
-2, 2
Factor -2/9*a**2 - 20/9*a - 2.
-2*(a + 1)*(a + 9)/9
Factor -3/8*v**3 + 5/4*v**2 + 0*v + 0 - 1/8*v**4.
-v**2*(v - 2)*(v + 5)/8
Factor 4/5 + 2/5*r**2 - 6/5*r.
2*(r - 2)*(r - 1)/5
Find o such that 0 - 1/2*o - 3/4*o**4 + 3/4*o**2 + 1/4*o**5 + 1/4*o**3 = 0.
-1, 0, 1, 2
Let m = 2662/7 + -380. Determine z so that m*z**4 + 0*z + 2/7*z**3 + 0 - 4/7*z**2 = 0.
-2, 0, 1
Let h(a) be the second derivative of -7*a**10/17280 - a**9/2160 - a**8/6720 + a**4/3 + a. Let z(l) be the third derivative of h(l). Factor z(u).
-u**3*(7*u + 2)**2/4
Factor -12/5 - 9/5*f + 3/5*f**2.
3*(f - 4)*(f + 1)/5
Let s be 20/12 - 1/(-3). Factor -k**4 - 5*k**s - k**3 + 7*k**3 + 2*k + 0*k - 2*k**3.
-k*(k - 2)*(k - 1)**2
Let d(f) be the second derivative of -135/14*f**5 - 4*f**3 + 0 - 57/7*f**4 - 6*f - 216/35*f**6 - 8/7*f**2 - 81/49*f**7. Suppose d(o) = 0. Calculate o.
-2/3, -1/3
Let b(q) be the second derivative of 8*q**6/45 - 4*q**5/15 + q**4/6 - q**3/18 - q**2 + q. Let x(g) be the first derivative of b(g). Factor x(w).
(4*w - 1)**3/3
Let k(v) be the second derivative of -5/72*v**4 - 1/3*v**2 + 2*v + 2/9*v**3 + 1/120*v**5 + 0. Factor k(j).
(j - 2)**2*(j - 1)/6
Let c(r) be the first derivative of -r**8/336 - r**7/140 - r**6/240 + 7*r**2/2 + 7. Let k(q) be the second derivative of c(q). Suppose k(j) = 0. Calculate j.
-1, -1/2, 0
Let j(t) be the third derivative of 5*t**8/1008 + t**7/126 - t**6/36 + 9*t**2. Factor j(f).
5*f**3*(f - 1)*(f + 2)/3
Let q(z) = z + 4. Let b be q(-9). Let u be 21/9 - b/(-15). Factor 0 + 28/5*r**u - 4/5*r - 49/5*r**3.
-r*(7*r - 2)**2/5
Solve 0 + 1/3*l**2 - 2/3*l = 0.
0, 2
Suppose -8/7 + 2*w**3 + 26/7*w - 2/7*w**4 - 30/7*w**2 = 0. Calculate w.
1, 4
Find c, given that 27*c + 55 - 46 + 3*c**2 + 33 = 0.
-7, -2
Let m(k) be the second derivative of -k**8/840 + k**6/180 - k**3/6 - 2*k. Let b(q) be the second derivative of m(q). Let b(d) = 0. What is d?
-1, 0, 1
Suppose -5*y + 4*l + 20 = 0, 1 + 7 = 2*y + l. Let m(k) be the first derivative of -1/3*k**3 + 0*k + 1 - 3/4*k**y + 0*k**2. Determine f so that m(f) = 0.
-1/3, 0
Let t(d) be the third derivative of -d**8/840 + d**7/525 - 9*d**2. Let t(b) = 0. Calculate b.
0, 1
Determine j, given that -6*j + 0 - 2*j**2 - 2 - 2*j**2 = 0.
-1, -1/2
Let l(i) be the first derivative of -5*i**3/2 + 11*i**2/4 - i + 6. What is w in l(w) = 0?
1/3, 2/5
Let q = -14 + 10. Let z(n) = -n - 1. Let k be z(q). Let -1/3*w**k - 2/3*w**2 + 0 - 1/3*w = 0. What is w?
-1, 0
Let v(n) be the third derivative of -1/448*n**8 + 1/5*n**5 - 9/32*n**4 + 0*n - 7/80*n**6 + 1/4*n**3 + 0 - 2*n**2 + 3/140*n**7. Factor v(a).
-3*(a - 2)*(a - 1)**4/4
Let x = -69 + 209/3. Factor 0*g - x*g**2 - 4/3*g**3 + 0 - 2/3*g**4.
-2*g**2*(g + 1)**2/3
Suppose -2*v + 2 = -6. Let m(g) be the second derivative of 1/20*g**5 + 0*g**2 + 0 + g + 1/3*g**v + 2/3*g**3. Factor m(p).
p*(p + 2)**2
Let u = -58/3 + 59/3. Let j(t) be the second derivative of 2*t - 1/36*t**4 + 0 - u*t**2 + 1/6*t**3. Factor j(w).
-(w - 2)*(w - 1)/3
Let j(u) = u + 10. Let k be j(-7). Let l(r) be the first derivative of 0*r**k + 0*r**2 + 0*r + 1/14*r**4 + 2. Factor l(p).
2*p**3/7
Let h(q) be the second derivative of -q**8/420 - q**7/105 - 5*q**3/3 - 8*q. Let f(p) be the second derivative of h(p). Factor f(c).
-4*c**3*(c + 2)
Let j(o) be the third derivative of 0 + 1/120*o**6 - 1/24*o**4 + 2*o**2 - 1/3*o**3 + 1/30*o**5 + 0*o. Factor j(k).
(k - 1)*(k + 1)*(k + 2)
Let r(j) be the first derivative of 2*j**2 - 1 + 4*j + 1/3*j**3. Factor r(n).
(n + 2)**2
Let n(r) = -15*r**2 - 33*r - 2. Let g be n(-2). What is j in 1/4*j**2 + 0*j - 1/2*j**3 + 0 + 1/4*j**g = 0?
0, 1
Factor -1/3*o + 0 - 1/9*o**2.
-o*(o + 3)/9
Let f(d) be the third derivative of d**7/252 - d**6/180 + d**4/8 + d**2. Let t(o) be the second derivative of f(o). What is z in t(z) = 0?
0, 2/5
Factor 2/7*n**2 + 0*n**3 + 0 + 0*n - 2/7*n**4.
-2*n**2*(n - 1)*(n + 1)/7
Let p(v) = -2*v**4 - 7*v**3 - 25*v**2 + 61*v + 115. Let x(o) = -o**4 - 4*o**3 - 12*o**2 + 30*o + 57. Let m(r) = -3*p(r) + 7*x(r). Factor m(i).
-(i - 2)*(i + 3)**3
Let n(x) be the third derivative of -x**6/150 - x**5/75 + x**4/15 + 25*x**2. Factor n(z).
-4*z*(z - 1)*(z + 2)/5
Let v(d) be the third derivative of -d**9/50400 - d**8/7200 - d**7/2520 - d**6/1800 - d**5/60 + 7*d**2. Let h(p) be the third derivative of v(p). Factor h(g).
-2*(g + 1)**2*(3*g + 1)/5
Suppose -1 = -7*x + 13. What is z in -13/6*z**4 - 1/3*z**x - 3/2*z**3 + 0*z - z**5 + 0 = 0?
-1, -2/3, -1/2, 0
Let v(x) be the first derivative of x**4/54 - 2*x**3/9 + x**2 - 6*x + 1. Let m(s) be the first deriv