ose i = -5*a + 11, 0*a + 3*a - 3*i - 21 = 0. Factor 29*w**3 - 35*w**4 - 100*w**2 - 30*w**3 - 5*w**5 - 89*w**a + 17*w - 57*w.
-5*w*(w + 1)*(w + 2)**3
Let w = -285 - -165. Let f = -116 - w. Factor 0*p - 3/4*p**2 + 3/2*p**3 + 0 - 3/4*p**f.
-3*p**2*(p - 1)**2/4
Let d be 8/(-2) - -5 - -4. Let f(s) = -s**2 - 6*s + 10. Let l be f(-7). Factor d*c**4 + 15*c**2 - 27*c**l + 9*c - 6*c**3 + 4*c**4.
3*c*(c - 3)*(c - 1)*(3*c + 1)
Let x be (-2 - -1)/(2/(-72)). Find v such that 17*v**3 - x*v + 40 + 6*v**3 + 4*v**4 - v**3 - 44*v**2 + 14*v**3 = 0.
-10, -1, 1
Let h(i) = i**2 + 3*i - 40. Let s be h(5). Let v(c) be the first derivative of s*c + 0*c**2 - 3/5*c**5 - 5 - 1/2*c**6 + 3/4*c**4 + c**3. Factor v(t).
-3*t**2*(t - 1)*(t + 1)**2
Let q(p) be the second derivative of p**6/6 - 3*p**5/4 + 5*p**4/12 + 5*p**3/2 - 5*p**2 - p. Factor q(m).
5*(m - 2)*(m - 1)**2*(m + 1)
Factor -3*p**2 - 36/7 + 48/7*p + 3/7*p**3.
3*(p - 3)*(p - 2)**2/7
Let n(u) be the first derivative of 1/8*u**4 - 1/6*u**3 + 1/10*u**5 + 0*u + 0*u**2 + 11 - 1/12*u**6. Factor n(p).
-p**2*(p - 1)**2*(p + 1)/2
Let d(l) be the first derivative of l**7/210 - l**6/50 + 3*l**5/100 - l**4/60 - 5*l + 14. Let f(p) be the first derivative of d(p). Factor f(v).
v**2*(v - 1)**3/5
Suppose -1/6*i**5 - 3/2*i**4 + 3/2*i**2 + 0 + 4/3*i - 7/6*i**3 = 0. What is i?
-8, -1, 0, 1
Let w(i) be the second derivative of 0*i**2 - 1/20*i**5 - 13*i + 0*i**3 + 0*i**4 - 1/10*i**6 - 5/168*i**7 + 0. Suppose w(v) = 0. Calculate v.
-2, -2/5, 0
Let i(b) be the first derivative of -18 + 7/15*b**3 - 11/10*b**2 + b - 1/20*b**4. Factor i(v).
-(v - 5)*(v - 1)**2/5
Let b(s) = s**3 + s**2 - 4*s - 1. Let p be b(2). Factor 10*w**4 - 27*w**4 + 6*w**4 - 130*w**p - 105*w - 5*w**5 - 34*w**4 - 25 - 170*w**2.
-5*(w + 1)**4*(w + 5)
Let l(j) = -4*j - 30. Let y be l(-10). Factor 5*h**5 - 45*h**3 + 90*h**3 - 60*h**3 + y*h**2.
5*h**2*(h - 1)**2*(h + 2)
Let f(v) = 4*v**2 + 33*v + 54. Let p be f(-6). Let t(w) be the second derivative of -1/5*w**5 + p + 0*w**2 + 7*w + 0*w**3 + 1/3*w**4. Factor t(h).
-4*h**2*(h - 1)
Suppose 4*f - 3*f - 2 = 0. Suppose -7 = 7*y - 28. Factor -1/2*m + 0 - f*m**y - 2*m**2.
-m*(2*m + 1)**2/2
Suppose 88 = 43*j - 35*j. Let g(x) be the first derivative of 2/45*x**5 - j + 0*x**2 - 4/27*x**3 + 0*x**4 + 2/9*x. Suppose g(f) = 0. Calculate f.
-1, 1
Let l be -7*18/63*(-3)/2. Let w(c) be the third derivative of 0 - 7/60*c**6 + 6*c**2 + 0*c - 8/15*c**5 - 11/12*c**4 - 2/3*c**l. Factor w(n).
-2*(n + 1)**2*(7*n + 2)
Suppose 14 = 3*b - 1. Let r(q) = -4*q**3 - 4*q**2 - 12*q - 28. Let l(w) = 20*w - 11 - 24*w + 2 - w**2 - w**3. Let x(u) = b*r(u) - 16*l(u). Factor x(v).
-4*(v - 1)*(v + 1)**2
Let h = -88 - -93. Suppose -3*g - h*g = 0. Factor g*k + 6*k**4 + 0 - 3/2*k**5 + 0*k**2 - 6*k**3.
-3*k**3*(k - 2)**2/2
Let s(t) = -23*t - 182. Let d be s(-8). Let l(y) be the first derivative of 0*y + 5 + 1/9*y**d + 2/27*y**3. Let l(g) = 0. Calculate g.
-1, 0
Let c = 284 + -284. Let b(j) be the third derivative of 0 + 0*j**6 + 0*j - j**2 + c*j**3 - 1/525*j**7 - 1/1680*j**8 + 1/150*j**5 + 1/120*j**4. Factor b(f).
-f*(f - 1)*(f + 1)**3/5
Let b = -58 + 60. Solve -6*j**3 + 6 + 4*j**2 + 12*j - 3*j + b*j + 5*j**3 = 0 for j.
-1, 6
Let u(f) be the second derivative of 32*f**6/5 + 108*f**5/5 - 7*f**4/4 - 69*f**3/2 + 27*f**2 - 3*f + 5. Factor u(t).
3*(t + 1)*(t + 2)*(8*t - 3)**2
Let m(j) = -2*j**2 - 26*j + 231. Let c be m(-19). Let p(g) be the second derivative of 0*g**2 + 1/12*g**c + 0 - 1/24*g**4 - 8*g. Factor p(o).
-o*(o - 1)/2
Suppose 4*d = w - 12, 7 = -2*w + 5*d + 16. Let o be 1 - (4 - (-30)/w)*4. Factor 0*c**3 + 1/3*c**4 + o + 0*c + 0*c**2 + 4/3*c**5.
c**4*(4*c + 1)/3
Let a be (-12)/(-3) - 40/(-96)*-6. Suppose -1/2 + 3/2*z + 1/2*z**3 - a*z**2 = 0. What is z?
1
Let p(s) be the second derivative of s**5/140 + 3*s**4/28 + 4*s**3/7 + 10*s**2/7 - 376*s. Factor p(r).
(r + 2)**2*(r + 5)/7
Solve 9*r**2 - 48 - 3/2*r**3 + 0*r = 0.
-2, 4
Let h = 6542/7 - 926. Find y such that 44/7*y**3 + h*y**4 - 2*y + 4/7 + 18/7*y**5 - 16/7*y**2 = 0.
-2, -1, 1/3
Let p(d) be the first derivative of -d**5/4 + 37*d**4/16 - 89*d**3/12 + 75*d**2/8 - 9*d/2 + 55. Determine o so that p(o) = 0.
2/5, 1, 3
Suppose 0 = -3*f - 571*p + 570*p + 1, 3*p = f - 17. Let -38/3*g**f + 14/3*g**3 - 16/3 - 68/3*g = 0. Calculate g.
-1, -2/7, 4
Let q(n) be the second derivative of -n**8/16800 + n**7/3150 - n**6/1800 + n**4/6 + 15*n. Let j(v) be the third derivative of q(v). Factor j(x).
-2*x*(x - 1)**2/5
Let g(s) be the first derivative of -s**3/7 - 81*s**2/14 - 216*s/7 - 87. Let g(t) = 0. What is t?
-24, -3
Let u be (6 - 2) + -3 - -1. Let q(d) be the third derivative of -3*d**u + 1/150*d**5 + 0*d + 0 + 2/15*d**3 - 1/20*d**4. Suppose q(r) = 0. Calculate r.
1, 2
Let y(v) = -v**3 - 8*v**2 + 2*v + 11. Let l be y(-8). Let j = -4 - l. Determine a, given that 0 - 6*a - j - 3*a**2 + 0*a**2 - 2 = 0.
-1
Let c(o) be the second derivative of -o**7/3780 - o**6/450 - o**5/225 + 3*o**4/2 - 8*o. Let m(k) be the third derivative of c(k). Factor m(h).
-2*(h + 2)*(5*h + 2)/15
Factor 15 - 2 + 28*k**2 + 24*k + 16*k - 1.
4*(k + 1)*(7*k + 3)
Let n(p) be the third derivative of 0*p - 13*p**2 - 5/12*p**5 - 10/3*p**3 - 25/6*p**4 + 5/6*p**6 + 0 + 3/14*p**7. Determine r so that n(r) = 0.
-2, -1, -2/9, 1
Let z(s) be the third derivative of s**7/168 + s**6/96 - s**5/8 - 65*s**2. Factor z(a).
5*a**2*(a - 2)*(a + 3)/4
Determine n so that -6/7*n**4 + 0 + 2/7*n**5 + 0*n + 0*n**2 - 8/7*n**3 = 0.
-1, 0, 4
Factor 18392/7*s**2 + 2728/7*s**3 + 5324*s - 58564/7 + 4/7*s**5 + 172/7*s**4.
4*(s - 1)*(s + 11)**4/7
Let s = 399 + -396. Let q(n) be the third derivative of 0 + 0*n**4 + 1/120*n**6 + 1/1008*n**8 - 1/180*n**5 - 1/210*n**7 - 9*n**2 + 0*n + 0*n**s. Factor q(i).
i**2*(i - 1)**3/3
Let l(y) be the second derivative of y**6/60 + y**5/8 + y**4/3 + y**3/3 + 64*y. Suppose l(q) = 0. Calculate q.
-2, -1, 0
Let q = -297 - -301. Let b(d) be the third derivative of 0 + 1/15*d**3 + 0*d - 9*d**2 - 1/300*d**5 - 1/120*d**q. Find x, given that b(x) = 0.
-2, 1
Solve 104/3*o - 49/6*o**2 - 106/3 - 1/6*o**3 = 0 for o.
-53, 2
Let m(x) = 3*x**2 - 12*x - 3. Let c(q) = -q**2 + 3*q + 7. Let a be c(0). Let f(d) = 4*d**2 - 13*d - 3. Let u(l) = a*m(l) - 6*f(l). Determine i so that u(i) = 0.
-1
Let a(f) be the first derivative of f**7/2520 + f**6/1080 + 8*f**3/3 + 6. Let k(w) be the third derivative of a(w). Determine s, given that k(s) = 0.
-1, 0
Let q(o) = -o**5 - o**4 - o**2 - 2*o. Let t(i) = -86*i**3 - 447*i**2 - 637*i - 275. Let l(c) = -q(c) + t(c). Let l(w) = 0. What is w?
-5, -1, 11
Let d(i) be the first derivative of -i**4/10 + 26*i**3/15 - 56*i**2/5 + 32*i + 107. Factor d(f).
-2*(f - 5)*(f - 4)**2/5
Let i(s) be the first derivative of 5*s**2 - 7 - 9*s + 1/5*s**5 - 5/2*s**4 + 8/3*s**3. Factor i(q).
(q - 9)*(q - 1)**2*(q + 1)
Suppose 2/11*p**3 + 144/11 + 28/11*p**2 + 114/11*p = 0. Calculate p.
-8, -3
Let h be (-4)/24*58/(-87). Find l, given that -h + 1/9*l - 1/9*l**3 + 1/9*l**2 = 0.
-1, 1
Let w(m) be the third derivative of m**6/160 + 3*m**5/80 + m**4/16 - 47*m**2. Factor w(c).
3*c*(c + 1)*(c + 2)/4
Let g(p) be the third derivative of -5*p**8/672 - 47*p**7/420 - 83*p**6/240 + 19*p**5/120 + 11*p**4/6 + 7*p**3/3 - 13*p**2 + p. Suppose g(d) = 0. What is d?
-7, -2, -1, -2/5, 1
Let d be 16/(-12)*(-57)/152. Let k(u) be the first derivative of 0*u + 3/4*u**4 - d*u**6 + 0*u**2 + 0*u**5 + 0*u**3 + 9. Find r such that k(r) = 0.
-1, 0, 1
Let o be ((-4)/(-56))/(2/8). Let k(u) be the first derivative of 5/14*u**4 + 0*u - 2/7*u**2 - o*u**3 - 6. Suppose k(r) = 0. Calculate r.
-2/5, 0, 1
Let q(i) be the second derivative of 5/6*i**4 + 5/6*i**3 + 0 + 32*i - 1/4*i**5 - 5*i**2. Find d, given that q(d) = 0.
-1, 1, 2
Let n(g) be the third derivative of -2*g**7/105 + g**6/5 + 8*g**5/15 - g**4 - 14*g**3/3 + 2*g**2 + 2*g. Factor n(b).
-4*(b - 7)*(b - 1)*(b + 1)**2
Suppose m - 14 = -5*f + f, -4*f - 2*m = -16. Suppose x = -z - 1, 4 = -f*z + 1. Solve x*o**5 + 4*o**5 - 4*o**3 - 2*o**3 + 3*o - o**5 = 0.
-1, 0, 1
Let b(h) be the third derivative of -h**8/672 - h**7/42 - 11*h**6/80 - h**5/3 - h**4/3 - 35*h**2. Factor b(c).
-c*(c + 1)**2*(c + 4)**2/2
Let d = -1590119/630 - -2524. Let t(f) be the third derivative of 1/120*f**6 + 0*f**4 + 0*f**5 + 0*f**3 + 7*f**2 - d*f**7 + 0 + 0*f. What is v in t(v) = 0?
0, 3
