d) = 0. What is d?
1, 3
Factor 0 - 32/5*d**2 + 4/5*d**3 + 64/5*d.
4*d*(d - 4)**2/5
Let i(z) be the third derivative of -z**7/1155 - z**6/66 + 23*z**5/330 - z**4/11 + 2*z**2 - 126*z. Determine x so that i(x) = 0.
-12, 0, 1
Let u be ((-3 + 3)/2)/(5 + -3). Let o(k) be the first derivative of 0*k + u*k**2 + 4 + 1/4*k**4 + 1/3*k**3. Solve o(r) = 0 for r.
-1, 0
Let k(m) be the third derivative of -1/20*m**5 - m**4 + 0*m - 4*m**2 - 7/2*m**3 + 0. Factor k(v).
-3*(v + 1)*(v + 7)
Let f(g) = -g**3 - 6*g**2 - 5*g + 6. Let d be f(-6). Solve 4*n**3 + 16*n**2 + d*n - 36*n = 0 for n.
-4, 0
Let i(g) be the first derivative of -g**5/15 - 5*g**4/12 + g**3/9 + 5*g**2/6 + 227. Determine c so that i(c) = 0.
-5, -1, 0, 1
Factor 6/5*f**2 - 1/5*f**4 + 0*f - 1/5*f**3 + 0.
-f**2*(f - 2)*(f + 3)/5
Let m = 39 - 37. Let x be (-3 + (-28)/(-12))*(-3)/6. Factor 1/3 + 0*k**3 - 2/3*k**m + 0*k + x*k**4.
(k - 1)**2*(k + 1)**2/3
Let o be -2*(-3 + 4)*5958/(-7460). Let m = o + 1/373. Factor 16/5 - 4/5*z**2 - 2/5*z**3 + m*z.
-2*(z - 2)*(z + 2)**2/5
Suppose -29 = -24*k + 19. Let g(v) = 3*v**2 - 5*v - 6. Let i = 13 - 20. Let b(c) = 9*c**2 - 16*c - 18. Let w(j) = i*g(j) + k*b(j). Factor w(a).
-3*(a - 2)*(a + 1)
Let b = -2/3687 + 2464/11061. Factor 0 + b*f - 2/9*f**2.
-2*f*(f - 1)/9
Let u(p) = 9*p**2 - 3*p. Suppose -4*r - 21 = 3. Let t(v) be the second derivative of 17*v**4/12 - 5*v**3/6 + 9*v. Let f(o) = r*t(o) + 11*u(o). Factor f(k).
-3*k*(k + 1)
Let h be (-195)/(-260)*(-2 + 3). Factor 3/4 - 3/2*u + h*u**2.
3*(u - 1)**2/4
Let x(b) be the second derivative of 1/10*b**5 - b**3 - 2/3*b**4 + 18*b**2 + 0 + 9*b. Factor x(u).
2*(u - 3)**2*(u + 2)
Let r(u) be the third derivative of -25*u**8/336 - 3*u**7/7 + u**6/30 + 82*u**5/15 + 16*u**4 + 64*u**3/3 - 273*u**2. What is b in r(b) = 0?
-2, -4/5, 2
Let k be (-12)/(-9)*66/4. Let m(z) = z**3 + 15*z**2 + 4*z + 11. Let v be -1 + 3/3 - -2. Let o(x) = -x**2 - 1. Let n(u) = k*o(u) + v*m(u). Factor n(s).
2*s*(s + 2)**2
Suppose -3*g + 2 = 26. Let i be 3 - 0*2/g. Suppose 3*t**5 - 12*t**3 + 2*t**3 + 7*t**i = 0. Calculate t.
-1, 0, 1
Find l such that -9*l + l - 13*l - 4*l**3 + 50*l - 13*l = 0.
-2, 0, 2
Let r(f) be the second derivative of f**4/4 + 4*f**3 - 27*f**2/2 + 6*f. Factor r(s).
3*(s - 1)*(s + 9)
Find y, given that 67 + 2 + 735*y**2 - 3*y**3 - 660*y**2 - 141*y = 0.
1, 23
Let z(y) = 20*y**2 - 19*y + 14. Let k(c) = -13*c**2 - 4*c**2 + 13*c - 9 + 4*c**2. Let l(u) = -8*k(u) - 5*z(u). Factor l(s).
(s - 2)*(4*s - 1)
Determine s, given that 13/5 - 13/5*s**2 + 1/5*s**3 - 1/5*s = 0.
-1, 1, 13
Factor 3*j + 1/3*j**3 + 22/3 - 4*j**2.
(j - 11)*(j - 2)*(j + 1)/3
Let f(t) be the first derivative of -t**7/588 - t**6/1260 + t**5/84 + t**4/84 - 7*t**3/3 + 13. Let p(n) be the third derivative of f(n). Factor p(d).
-2*(d - 1)*(d + 1)*(5*d + 1)/7
Let i be 258/8*21/162 - 0. Let f = 37/8 - i. Find b such that -2/9*b**3 + 0 - 2/3*b**4 + f*b + 2/3*b**2 - 2/9*b**5 = 0.
-2, -1, 0, 1
Let g(h) be the second derivative of -h**6/6 - 9*h**5 - 595*h**4/4 - 1445*h**3/3 - 215*h + 1. Factor g(s).
-5*s*(s + 2)*(s + 17)**2
Let h(c) = -10*c**2 - 72*c + 50. Let q(k) = 2*k**2 + 14*k - 10. Let l(x) = -3*h(x) - 16*q(x). Let l(n) = 0. Calculate n.
-5, 1
Let a(s) be the third derivative of -s**8/168 + s**7/105 + s**6/20 - s**5/30 - s**4/6 + s**2 + 151. Suppose a(u) = 0. Calculate u.
-1, 0, 1, 2
Let n(j) be the second derivative of j**6/240 + j**5/32 + j**4/12 + j**3/12 + 175*j. Find o such that n(o) = 0.
-2, -1, 0
Suppose -4*u - 6 = -22, -a - u = -12. Solve 5*r - 10*r**2 - 6*r**3 + 0*r**4 + 2 + r + a*r**4 = 0 for r.
-1, -1/4, 1
Let u(o) = o**3 - 4*o**2 - 4*o - 3. Let i be u(5). Find v such that -40*v - 3*v**i - 80 + 3*v**2 - 7*v**2 + 2*v**2 = 0.
-4
Let r(k) be the third derivative of k**10/45360 - k**9/7560 + k**7/945 - k**4/24 + k**2. Let j(u) be the second derivative of r(u). Suppose j(a) = 0. What is a?
-1, 0, 2
Let n be (28/3)/(80/(-15) - -6). Suppose -2*a - n = -18. Determine m so that -1/4*m**a - 3/4*m - 1/2 = 0.
-2, -1
Let c(d) be the second derivative of d**7/210 - d**5/10 - d**4/3 + 8*d**3/3 + 24*d. Let q(p) be the second derivative of c(p). Factor q(i).
4*(i - 2)*(i + 1)**2
Let o(n) be the second derivative of n**5/80 - 41*n**4/16 + 1281*n**3/8 - 3721*n**2/8 + 2*n - 3. Factor o(v).
(v - 61)**2*(v - 1)/4
Let n(c) be the third derivative of 0*c - 39*c**2 - 5/8*c**4 - 1/12*c**5 + 0 + 0*c**3. Let n(m) = 0. Calculate m.
-3, 0
Let p(y) be the first derivative of 1/18*y**4 + 4/27*y**3 - 4/9*y - 1/9*y**2 - 8. Factor p(j).
2*(j - 1)*(j + 1)*(j + 2)/9
Factor 3 + 60*z**3 - 4249*z + 12*z**5 - 45*z**4 - 30*z**2 + 4249*z.
3*(z - 1)**4*(4*z + 1)
Let d(q) be the first derivative of 3*q**5/80 + 5*q**4/12 + 13*q**3/8 + 9*q**2/4 - 4*q - 9. Let v(u) be the first derivative of d(u). Factor v(a).
(a + 3)**2*(3*a + 2)/4
Let c be (4 + -27)*1 + 3. Let l be 72/c + 20/5. Factor -2/5 - 2/5*t**4 + 4/5*t**3 - 2/5*t + 4/5*t**2 - l*t**5.
-2*(t - 1)**2*(t + 1)**3/5
Let r = -82 - -92. Suppose -2*j + 5*p = r, -3*j + p - 2 = -0*j. Find c, given that j - 1/2*c**2 - 1/2*c**4 - c**3 + 0*c = 0.
-1, 0
Let g(f) = -f**3 + 6*f**2 - 7*f + 12. Let h be g(5). Factor 1251 + 5*n**3 - 1251 - 10*n**h.
5*n**2*(n - 2)
Let v(c) be the second derivative of c**4/4 - 3*c**3 + 27*c**2/2 - 2*c + 102. Factor v(t).
3*(t - 3)**2
Suppose 5*r - 9 = -z, -5*r - 2*z + 3019 = 3011. Factor 10/9*f**2 - 2/9*f**3 - r - 2/3*f.
-2*(f - 3)**2*(f + 1)/9
Suppose 28/5*a + 2/5*a**3 + 18/5*a**2 - 48/5 = 0. What is a?
-6, -4, 1
Suppose 1/5*j**3 - 4/5*j + 0 + 3/5*j**2 = 0. What is j?
-4, 0, 1
Factor 3*c**2 - 30 - 8*c**2 + 31*c - 24*c + 28*c.
-5*(c - 6)*(c - 1)
Let v(g) be the first derivative of -g**3 + 45*g**2/2 - 78*g - 253. Factor v(q).
-3*(q - 13)*(q - 2)
Let t be 1*2 + 40/(-36). Suppose 7 = -4*y + 5*g, 3*y + 14*g = 9*g + 21. Factor -t*d + 2/3 + 2/9*d**y.
2*(d - 3)*(d - 1)/9
Suppose 4*k - 24 = 4*j, 3*k + 0*j - 20 = 4*j. Solve -7*s**2 - 3*s**k + 4*s**2 + 3*s**3 - 4*s**2 + 19*s**2 - 12*s = 0 for s.
-2, 0, 1, 2
Let j = 4335 + -21663/5. Factor 12/5*a**3 + 0*a + 4/5*a**5 - 4/5*a**2 - j*a**4 + 0.
4*a**2*(a - 1)**3/5
Let p(z) = z**2 + 1. Suppose 0 = 7*o + 4 + 3. Let v(c) = 10*c. Let h(g) = o*v(g) + 5*p(g). Solve h(j) = 0 for j.
1
Let s = 7 + 27. Let f(k) = 11*k**3 - 5*k**2 + 17. Let x(m) = -2*m**3 + m**2 - 3. Let r(w) = s*x(w) + 6*f(w). Solve r(z) = 0 for z.
0, 2
Let c(m) be the first derivative of 10/9*m + m**2 + 2/9*m**3 - 1/18*m**4 - 6. Determine j so that c(j) = 0.
-1, 5
Factor -6*h**2 + 55*h + 7*h**3 + 0 - 23*h**2 - 6*h**3 - 15 - 12.
(h - 27)*(h - 1)**2
Let w(z) = -z**2 + 11*z + 28. Let c be -4*(-1)/(-2)*39/(-6). Let s be w(c). Find y, given that 2/3 + 7/3*y + 5/3*y**s = 0.
-1, -2/5
Let f be (1/(-21))/((-22)/33*(-20)/(-120)). What is v in -29/7*v**3 + 9/7*v**5 + f*v**2 + 4/7 - v**4 + 20/7*v = 0?
-1, -2/9, 1, 2
Let o(u) be the first derivative of u**3/6 - 3*u**2/2 + 4*u - 74. Factor o(g).
(g - 4)*(g - 2)/2
Suppose 0 = -2*t + 4*a - 6, -6 = 4*a - a. Let o be 2 + (-4)/((-16)/t). Factor 0 + o*v**3 + 0*v + 0*v**2.
v**3/4
Let v(z) = 10*z**5 + 22*z**4 + 7*z**3 + 7. Let n(q) = 3*q**5 + 6*q**4 + 2*q**3 + 2. Let p(u) = 7*n(u) - 2*v(u). Factor p(f).
f**4*(f - 2)
Let a(s) = -3*s - 14*s - 73 + 12*s**4 + 73 + 71*s**3 - 30*s**2. Let b(j) = 2*j**4 + 12*j**3 - 5*j**2 - 3*j. Let i(h) = 6*a(h) - 34*b(h). Factor i(u).
2*u**2*(u + 5)*(2*u - 1)
Let b(x) be the second derivative of x**4/12 - 7*x**3/6 + 5*x**2 + 4*x + 45. Factor b(i).
(i - 5)*(i - 2)
Let j(o) be the first derivative of 4*o**3/3 + 84*o**2 + 1764*o - 107. Factor j(n).
4*(n + 21)**2
Suppose 0*y**2 - y**4 - 11*y + 57*y**3 - 1 - 9*y**2 + 11 - 97*y**3 + 51*y**3 = 0. Calculate y.
-1, 1, 10
Let o(g) = -9*g - 180. Let p be o(-20). Solve 1/9*w**3 - 1/9*w + 0*w**2 + p = 0.
-1, 0, 1
Suppose 56*l = 51*l - 20. Let g be ((-2)/l)/(3/24). Suppose -11/2*w - 15/2*w**2 + 4*w**3 - 1 + 10*w**g = 0. What is w?
-1/2, -2/5, 1
Let f(g) be the third derivative of 0 + 0*g + 1/5*g**3 - 1/100*g**5 + 1/40*g**4 - 14*g**2. Factor f(t).
-3*(t - 2)*(t + 1)/5
Determine t so that -444/7*t**2 - 16428/7*t - 3/7*t**3 + 0 = 0.
-74, 0
Let m(p) be the second derivative of p**6/120 - 11*p**5/80 - 13*p**4/24 - 137*p. Suppose m(j) = 0. Calculate j.
-2, 0, 13
Factor 1/3*n**2 + 85/3 + 22/3*n.
(n + 5)*(n + 17)/3
Let t(x) be the third derivative of -x**8/1344 - x**