ate f.
-2, -1, 1
Let o(z) be the third derivative of 0 - 1/28*z**6 - 37*z**2 + 3/35*z**5 + 1/14*z**3 + 0*z + 3/490*z**7 - 3/28*z**4. Solve o(b) = 0 for b.
1/3, 1
Factor -2/9 - 8/9*w - 2/3*w**2.
-2*(w + 1)*(3*w + 1)/9
Let l(s) be the first derivative of s**6/6 - s**5 + 5*s**4/12 + 5*s**3 + 10*s + 17. Let m(d) be the first derivative of l(d). Factor m(z).
5*z*(z - 3)*(z - 2)*(z + 1)
Suppose 12 = 19512*r - 19506*r. Determine o so that -6/13 + 6/13*o**r - 2/13*o**3 + 2/13*o = 0.
-1, 1, 3
Let d(r) be the third derivative of -r**6/60 + 8*r**5/15 - 29*r**4/12 + 14*r**3/3 - 2*r**2 + 321. Find u, given that d(u) = 0.
1, 14
Let l(j) = -j**2 + 5*j + 5. Let o be l(4). Factor 5*t + 0 - o*t**2 - 2 - 29*t + 6*t**3 - 10 + 3*t**4.
3*(t - 2)*(t + 1)**2*(t + 2)
Let 15*h**3 + 10*h**4 + 70*h**5 - 155*h**5 + 80*h**5 = 0. What is h?
-1, 0, 3
Let w be ((-10)/(-40)*-6)/(-30). Let l(d) be the second derivative of 1/4*d**4 + 1/2*d**2 - 1/2*d**3 - w*d**5 - 3*d + 0. Determine o, given that l(o) = 0.
1
Let d be 12/(-8 + 6 + 6). Let 2/11*s**4 + 0 + 4/11*s - 2/11*s**2 - 4/11*s**d = 0. Calculate s.
-1, 0, 1, 2
Suppose 0*b = -2*b - 2*o + 10, 0 = -5*b - 2*o + 19. Let f be (-8)/(-52) - (-48)/26. Solve 4/5*m**f + 2/5*m + 2/5*m**b + 0 = 0.
-1, 0
Let v(g) be the third derivative of -g**5/12 + 85*g**4/8 + 265*g**3/3 + 25*g**2 + 2*g. Solve v(s) = 0.
-2, 53
Let q(d) be the first derivative of -d**6/16 + 3*d**5/40 + 9*d**4/32 - d**3/8 - 3*d**2/8 + 83. Let q(v) = 0. What is v?
-1, 0, 1, 2
Let w(z) be the third derivative of -z**6/160 - 3*z**5/16 - 63*z**4/32 - 49*z**3/8 - 199*z**2. Find x such that w(x) = 0.
-7, -1
Let c(f) be the first derivative of 3*f**6/5 - 6*f**5/5 - f**4/3 + 4*f**3/3 + f**2 + 6*f - 4. Let m(t) be the first derivative of c(t). Factor m(p).
2*(p - 1)**2*(3*p + 1)**2
Let h(i) be the third derivative of 1/100*i**5 + 0 - 1/8*i**4 + 23*i**2 + 0*i + 3/5*i**3. Factor h(q).
3*(q - 3)*(q - 2)/5
Let z(u) be the second derivative of u**4/12 - 4*u**3/3 + 7*u**2/2 + 2*u - 30. Factor z(y).
(y - 7)*(y - 1)
Let q(y) be the third derivative of y**7/140 - 3*y**5/20 - y**4/2 - 3*y**3/4 + 83*y**2. Factor q(z).
3*(z - 3)*(z + 1)**3/2
Let b be (((-27)/(-162))/((-6)/(-4)))/((-6)/(-12)). Factor 0*g**3 + 0*g**2 + 0*g + 0 + b*g**4.
2*g**4/9
Let m(h) = h. Let x(a) = -2*a - 1. Let g(d) = -6*m(d) - 2*x(d). Let w be g(0). Find f, given that 4*f**3 + 0*f**2 + f**2 - w*f**2 + 5*f**2 = 0.
-1, 0
Suppose -65*y + 14*y + 102 = 0. Factor 3/8*n**5 - 3/8 + 3/4*n**3 + 9/8*n**4 - 9/8*n - 3/4*n**y.
3*(n - 1)*(n + 1)**4/8
Let s(f) be the third derivative of 2*f**5/75 + 11*f**4/20 + 8*f**3/15 + 2*f**2 - 36*f. Suppose s(g) = 0. Calculate g.
-8, -1/4
Factor -9/2 - 15/4*p**2 - 51/4*p.
-3*(p + 3)*(5*p + 2)/4
Suppose 4*c + 12 = 5*c. Factor 8*u + 4 - c - 2*u**2 + 0.
-2*(u - 2)**2
Suppose -6*w - 2*w = -w. Let p be (w - 5) + 17/3. Determine g so that 1/3*g**2 + g + p = 0.
-2, -1
Let t(l) = -l**2 + 4*l. Let w(a) = 7*a**2 - 65*a + 114. Let b(g) = -6*t(g) - w(g). Factor b(k).
-(k - 38)*(k - 3)
Let f = 2937 - 2935. Factor 2/3*k**3 + 4/9*k + 0 + 14/9*k**f.
2*k*(k + 2)*(3*k + 1)/9
Let j(y) = -729*y**2 - 321*y - 9. Let t = 4 - 6. Let l(f) = -73*f**2 - 32*f - 1. Let s(r) = t*j(r) + 21*l(r). Factor s(b).
-3*(5*b + 1)**2
Factor 36/11*l**2 + 32/11 + 2/11*l**3 + 6*l.
2*(l + 1)**2*(l + 16)/11
Let g be 70/12*((-24)/21)/(-4). Let d(u) be the first derivative of 15*u + g*u**3 + 5 + 10*u**2. Determine r, given that d(r) = 0.
-3, -1
Let x(v) = 28*v**2 + 1175*v - 38. Let z be x(-42). Factor 1/10*b**z + 8/5 + 1/10*b**2 - 3/5*b**3 + 12/5*b.
(b - 4)**2*(b + 1)**2/10
Factor 6*n - 16/3 - 2/3*n**2.
-2*(n - 8)*(n - 1)/3
Let r(d) be the second derivative of -d**6/180 + d**5/45 - d**4/36 + 7*d**2/2 + 12*d. Let h(t) be the first derivative of r(t). Solve h(s) = 0.
0, 1
Find q such that 0*q**4 + 18*q**3 - 13*q**5 - 5*q**5 + 4*q**4 - 4*q**2 = 0.
-1, 0, 2/9, 1
Suppose 108 = 5*n - n. Let u be (n/6 - 4)*(3 - 3). Factor -1/4*t - 1/4*t**2 + 3/4*t**3 + u + 5/4*t**4 + 1/2*t**5.
t*(t + 1)**3*(2*t - 1)/4
Suppose -4*j - m + 3 = 0, -2*j = j + 4*m - 12. Let f = -306 + 3368/11. Factor -f + 2/11*c**2 + j*c.
2*(c - 1)*(c + 1)/11
Suppose 11*x - 30 = x. Let w(g) be the second derivative of 0*g**x + 1/80*g**5 - 1/16*g**4 + 0 + 1/2*g**2 + 9*g. Factor w(s).
(s - 2)**2*(s + 1)/4
Let w(i) be the third derivative of -5/72*i**6 + 0 - 35/72*i**4 + 5/9*i**3 + 1/4*i**5 + 12*i**2 + 0*i + 1/126*i**7. Factor w(a).
5*(a - 2)*(a - 1)**3/3
Suppose 12 = y + a, -2*y + 11*a - 4*a = 48. Factor 1/2*d**3 - y*d**2 + 0 + 8*d.
d*(d - 4)**2/2
Let o be (3 + 63/(-24))/(4/32). Let b be o*(-10)/15 + 2. Determine g so that b - 1/3*g**2 + 0*g = 0.
0
Let l = 269/1770 + -7/59. Let r(m) be the second derivative of -1/20*m**5 + 1/6*m**3 + m + 1/12*m**4 + 0 - l*m**6 + 0*m**2. Solve r(q) = 0 for q.
-1, 0, 1
Let p(i) be the first derivative of -3/11*i + 1/11*i**2 + 4/33*i**3 + 10 - 1/55*i**5 - 1/22*i**4. Solve p(y) = 0.
-3, -1, 1
Let n(x) be the third derivative of -x**5/20 + 11*x**4/4 - 121*x**3/2 + x**2 - 7. Factor n(c).
-3*(c - 11)**2
Let l(t) be the third derivative of -t**8/392 + 8*t**7/735 + t**6/28 - 16*t**5/105 - t**4/7 - 159*t**2. Let l(y) = 0. What is y?
-2, -1/3, 0, 2, 3
Let o = 39 + -37. Determine n so that n**2 + 2 + 2*n**2 - 6 + n**o = 0.
-1, 1
Let g(x) be the first derivative of 1/8*x - 1/8*x**4 + 1/4*x**3 - 1/4*x**2 + 1/40*x**5 - 6. Factor g(a).
(a - 1)**4/8
Suppose -33*s - 61*s + 188 = 0. Factor 0 + s*n**2 - 1/2*n.
n*(4*n - 1)/2
Let c(f) be the first derivative of 3/2*f**4 - 3*f**3 + 0*f**2 + 3*f - 16. Determine z, given that c(z) = 0.
-1/2, 1
Let o = 67601/10 - 6760. Factor 1/5*a**2 + 0 + o*a + 1/10*a**3.
a*(a + 1)**2/10
Let t(w) be the third derivative of -1/100*w**5 + 0 - 1/20*w**4 - 10*w**2 + 0*w + 0*w**3. Factor t(g).
-3*g*(g + 2)/5
Let a = -129 - -195. Suppose 1 + i**3 + a*i + 30 + 18 + 15*i**2 - 3*i = 0. Calculate i.
-7, -1
Let o(g) = 8*g**2 - 7*g - 19. Let l(n) = -30*n**2 + 27*n + 75. Let r(d) = -2*l(d) - 9*o(d). Solve r(x) = 0 for x.
-1, 7/4
Let n be (-3333)/21 + ((-1)/1)/(-1). Let v = 158 + n. Factor v*g**3 + 4/7*g**2 + 2/7*g + 0.
2*g*(g + 1)**2/7
Let r be (208/64 - 12)*(-5)/((-100)/(-8)). Let -5/2*w**2 + 8*w - r*w**3 - 2 = 0. What is w?
-2, 2/7, 1
Suppose 4*m - 18 = l, 24*l - 25*l = -3*m + 13. Let u(g) be the third derivative of -1/40*g**5 + 0*g + 0*g**4 - 1/240*g**6 + 1/3*g**3 + 0 - 8*g**l. Factor u(p).
-(p - 1)*(p + 2)**2/2
Let n(c) = -c**5 + 7*c**4 - c**3 + c. Let q(u) = u**5 - 21*u**4 + 29*u**3 - 32*u**2 - 27*u + 32. Let j(v) = 3*n(v) + q(v). Solve j(m) = 0 for m.
-4, -1, 1, 2
Let g(j) = -j**2 + 15*j - 5. Let n be g(15). Let f be (-2)/(4/n) - 1539/702. Suppose f*l + 2/13*l**2 + 2/13 = 0. Calculate l.
-1
Suppose -8*d = -7*d - 12*d. Let w(q) be the second derivative of 1/60*q**6 + d*q**2 - 1/3*q**3 + 0 + 0*q**4 + 3/40*q**5 + 3*q. What is b in w(b) = 0?
-2, 0, 1
Let t(d) be the second derivative of -3*d**7 + 0 - 8*d**6 + 52/21*d**3 + 8/7*d**2 - d + 11/21*d**4 - 421/70*d**5. Determine g so that t(g) = 0.
-1, -2/3, -2/7, 1/3
Suppose 34 + 1 = 5*a. Let p(t) = -17*t**4 + 2*t**3 - 7*t**2 + 7*t - 7. Let i(z) = -8*z**4 + z**3 - 3*z**2 + 3*z - 3. Let d(x) = a*i(x) - 3*p(x). Factor d(l).
-l**3*(5*l - 1)
Let z be (96/28)/((-15)/(-20)). Solve z*d**2 - 12/7*d**3 + 8/7 - 4*d = 0.
2/3, 1
Let n = -8/143 + 86/143. Factor 2/11*r + n*r**2 - 4/11.
2*(r + 1)*(3*r - 2)/11
Let x(y) = y**3 - 15*y**2 - 16*y + 8. Let d be x(16). Suppose 3*a - 1 - d = 0. Find f such that 2*f + 5 - 5 - 15*f**a + 5*f**4 - 5*f**2 + 13*f**3 = 0.
-1, 0, 2/5, 1
Let p(c) be the third derivative of 0*c**3 - 1/10*c**5 + 0 - 3/40*c**6 - 1/24*c**4 - 7*c**2 + 0*c. Factor p(i).
-i*(3*i + 1)**2
Let y(z) = 13*z + 13. Let c be y(-1). Let f(b) be the third derivative of c - 4*b**2 + 0*b**3 + 1/60*b**6 + 1/30*b**5 + 0*b**4 + 0*b. Factor f(d).
2*d**2*(d + 1)
Let v(k) be the first derivative of 3*k**5/25 - 66*k**4/5 + 522*k**3 - 40368*k**2/5 + 73167*k/5 + 243. Factor v(i).
3*(i - 29)**3*(i - 1)/5
Factor -147/5*r**2 + 1/5*r**4 + 26/5*r**3 + 244/5*r - 124/5.
(r - 2)**2*(r - 1)*(r + 31)/5
Let b = 5473 + -5471. Let -30*d**b - 1/2*d**4 - 13/2*d**3 - 32 - 56*d = 0. What is d?
-4, -1
Suppose 0 = -a + 3*n + 14, 12 = -174*n + 171*n. Determine q, given that 9/7*q - 3/7*q**a - 6/7 = 0.
1, 2
Let j(b) = 4*b - 2. Let x be j(1). Factor x + 13*f**