 derivative of -11/30*z**6 + 0 + 0*z - 1/168*z**8 - 50/3*z**3 + 38*z**2 - 2/21*z**7 + 14/15*z**5 + 55/12*z**4. Find y, given that v(y) = 0.
-5, -2, 1
Let b be (0/2 - 0)*3/6. Let r(d) be the third derivative of 0*d - 1/105*d**7 - 1/30*d**6 + 0 + 0*d**4 - 3*d**2 + b*d**5 + 0*d**3. Find o such that r(o) = 0.
-2, 0
Let v = -3932 + 51118/13. Factor 0*x**3 + 0 + 0*x - v*x**2 + 2/13*x**4.
2*x**2*(x - 1)*(x + 1)/13
Let c = -7/59 + 373/1652. Let i(n) be the second derivative of 3/14*n**2 + c*n**4 - 5*n + 0 + 3/14*n**3 + 3/140*n**5. Solve i(w) = 0 for w.
-1
Let x(z) be the second derivative of 0 - 8/3*z**3 - 8*z**2 + 20*z - 1/3*z**4. Factor x(f).
-4*(f + 2)**2
Suppose -3*m - 7*m + 60 = 0. Let p(y) be the second derivative of 0*y**3 + 0 + m*y + 1/40*y**6 + 0*y**2 + 1/40*y**5 - 1/48*y**4. Solve p(f) = 0 for f.
-1, 0, 1/3
Determine d so that 0 + 0*d - 20/7*d**2 + 2/7*d**5 - 26/7*d**3 - 4/7*d**4 = 0.
-2, -1, 0, 5
Let p(c) be the second derivative of -c**5/160 - 3*c**4/16 - 5*c**3/4 + 25*c**2/2 + 24*c. Find j, given that p(j) = 0.
-10, 2
Let z(w) = 2*w**4 - 24*w**3 - 58*w**2 + 90*w + 435. Let g(d) = d**4 - 11*d**3 - 30*d**2 + 44*d + 218. Let v(q) = -13*g(q) + 6*z(q). What is k in v(k) = 0?
-7, -2, 4
Let s(i) be the second derivative of i**7/147 + 92*i**6/105 + 2377*i**5/70 + 6067*i**4/21 + 3268*i**3/3 + 14792*i**2/7 - 28*i + 3. Factor s(a).
2*(a + 2)**3*(a + 43)**2/7
Let a(q) = 8*q**3 + 30*q**2 + 17*q - 5. Let c(k) = k + 1. Let l(h) = -2*a(h) + 2*c(h). Factor l(x).
-4*(x + 1)*(x + 3)*(4*x - 1)
Let s(z) = 10*z**2 - 3070*z + 237165. Let h(g) = -5*g**2 + 1536*g - 118582. Let x(y) = -5*h(y) - 2*s(y). Find q such that x(q) = 0.
154
Let n(s) be the third derivative of -2/15*s**3 - 1/180*s**4 + 0 - 47*s**2 + 1/450*s**5 - 2*s. Find a such that n(a) = 0.
-2, 3
Let a(x) be the second derivative of -x**4/30 - 43*x**3/15 - 82*x**2/5 - 145*x - 1. Factor a(m).
-2*(m + 2)*(m + 41)/5
Suppose 5*b - 51 = 8*b. Let l = 20 + b. Factor -219 + 2*v**2 + 2*v**l - 4*v + 219.
2*v*(v - 1)*(v + 2)
Suppose 0 = 2*n - 4 - 2. Suppose -n*p - f = -7, -4*f = -p - 2*p + 17. Factor -12*o + 46*o + 486*o**2 + 8 + 723*o**3 + 74*o + 6*o**p.
(9*o + 2)**3
Determine x so that 8*x - 28 + 4*x**2 - 46*x + 92*x = 0.
-14, 1/2
Let w(i) = -4*i + 98. Let j be w(24). Let u(r) be the second derivative of j*r**4 + 2*r**3 + r**5 + 0 + 1/5*r**6 + r**2 - 5*r. Factor u(s).
2*(s + 1)**3*(3*s + 1)
Suppose -13 = -5*s - 3. Let t(l) = 12*l - 3 - 2 + 2*l - l**s - 4*l. Let o(m) = -9*m + 6. Let a(i) = -4*o(i) - 3*t(i). Solve a(n) = 0 for n.
-3, 1
Let y(n) be the first derivative of -2*n**3 - 15/2*n**2 + 21*n - 16. Factor y(i).
-3*(i - 1)*(2*i + 7)
Suppose 34 + 458 = 3*o. Let j be (-72)/21 + 3 + o/252. Factor -j*p**2 - 4/3*p - 2.
-2*(p + 3)**2/9
Let b(q) = 3*q**3 - 3*q**2. Let v(d) = d**3 - d**2. Suppose 28 = 4*i + 4*a, -3 = -4*a + 3*a. Let t(f) = i*v(f) - b(f). Solve t(k) = 0.
0, 1
Let f(u) = -4*u**4 + 7*u**3 + 14*u**2 + 3*u. Let i(s) = s**5 + 16*s**4 - 28*s**3 - 55*s**2 - 12*s. Let x(j) = -15*f(j) - 4*i(j). Find n such that x(n) = 0.
-1, -1/2, 0, 3/2
Let w(v) be the third derivative of v**8/28 + 62*v**7/105 + 59*v**6/15 + 68*v**5/5 + 76*v**4/3 + 64*v**3/3 - 623*v**2 - 2. Factor w(u).
4*(u + 2)**3*(u + 4)*(3*u + 1)
Let d = -907/4 + 4543/20. Determine y, given that 3/5*y**3 - d*y**5 + 1/5*y**2 - 1/5*y**4 - 1/5*y + 0 = 0.
-1, 0, 1/2, 1
Let r = 526 + -13148/25. Let a(j) be the first derivative of -2/15*j**3 + 0*j - r*j**5 + 0*j**2 - 1/5*j**4 + 6. Find t such that a(t) = 0.
-1, 0
Let t(m) = 6*m**4 + 24*m**3 + 15*m**2 + 9*m - 9. Let y(p) = 3*p**4 + 12*p**3 + 7*p**2 + 5*p - 5. Let z(a) = -5*t(a) + 9*y(a). Solve z(j) = 0 for j.
-2, 0
Suppose -261*w = -273*w. Find o, given that 2/9*o**4 - 2/9*o**2 + 4/9*o + w - 4/9*o**3 = 0.
-1, 0, 1, 2
Let d(p) = -652*p - 53142. Let m(g) = g**2 - 1956*g - 159428. Let z(x) = -7*d(x) + 2*m(x). Factor z(j).
2*(j + 163)**2
Let b be (12/18)/(4/54). Suppose -8*y + 9*y = b. Factor y*z**4 - 12*z - 10*z**2 + 2*z**2 + 12*z**3 + 2*z**2 - 3.
3*(z - 1)*(z + 1)**2*(3*z + 1)
Let a(m) = -2*m - 17. Let y be a(-11). Factor 355*n**4 + 3*n**3 + 3*n**y - 3*n**3 - 349*n**4.
3*n**4*(n + 2)
Let x(w) be the first derivative of -32*w + 8*w**2 - 2/3*w**3 - 23. Determine r so that x(r) = 0.
4
What is t in 2/7*t**2 - 34/7*t + 32/7 = 0?
1, 16
Suppose -142*h + 1785 = -137*h. Let a = -2495/7 + h. Solve a - 20/7*p - 40/7*p**3 + 40/7*p**2 - 4/7*p**5 + 20/7*p**4 = 0.
1
Let d be (-980)/147*125/(-16). Determine c so that 1/12*c**4 + d - 5/3*c**3 + 25/2*c**2 - 125/3*c = 0.
5
Let d be 2/(-17) + (-165)/(-14280)*38. Let v(h) be the first derivative of -h**3 - 8 + 0*h**2 - d*h**4 + 12/7*h. Solve v(g) = 0 for g.
-2, -1, 2/3
Determine t, given that 1/5*t**3 + 2/5 - 1/5*t**4 + 3/5*t**2 - t = 0.
-2, 1
Let i(y) = 4*y**2 - 20*y - 6. Let h(d) = 5*d**2 - 24*d - 9. Let u(f) = 3*h(f) - 2*i(f). Factor u(r).
(r - 5)*(7*r + 3)
Let l = -916 - -921. Let i(f) be the third derivative of 1/210*f**l + 4/21*f**3 + 0*f - 1/21*f**4 + 6*f**2 + 0. Factor i(x).
2*(x - 2)**2/7
Let z(y) = 3*y**4 - 30*y**3 + 63*y**2 - 51*y. Let v(n) = 3*n**4 - 32*n**3 + 63*n**2 - 50*n. Let p(m) = 3*v(m) - 4*z(m). Find f, given that p(f) = 0.
0, 2, 3
Let f(h) be the second derivative of h**6/225 - 11*h**5/150 + h**4/9 - 3*h - 10. Find t such that f(t) = 0.
0, 1, 10
Let y(k) be the first derivative of -k**4/10 + 10*k**3/3 - 168*k**2/5 + 288*k/5 - 15. Factor y(r).
-2*(r - 12)**2*(r - 1)/5
Suppose -13*u + 39*u - 105 = -1. Factor 15*y + 45/2*y**3 + 27/4*y**u + 111/4*y**2 + 3.
3*(y + 1)**2*(3*y + 2)**2/4
Let c(s) = 3*s**3 + 69*s**2 + 33*s. Let u(b) = -b**3 - b. Let n(m) = -c(m) - 15*u(m). Let n(z) = 0. Calculate z.
-1/4, 0, 6
Let o(d) be the first derivative of -d**6/30 - d**5/5 + 8*d**3/3 - 13*d**2/2 - 11. Let r(l) be the second derivative of o(l). Determine q, given that r(q) = 0.
-2, 1
Let v = -2056 - -8227/4. Factor 3/8*k**2 - v*k + 0.
3*k*(k - 2)/8
Let y be 4/3*(28 - 3425/125). Suppose 2/5*c + 4/5*c**3 + 2*c**2 - y = 0. What is c?
-2, -1, 1/2
Let m(l) = l**3 + 3*l**2 + l + 1. Let z be m(-2). Suppose z*q - 6 = 3. Find y such that 19*y**3 + 18*y**3 - 3*y**5 - 34*y**q = 0.
-1, 0, 1
Let z(p) be the first derivative of 4/15*p**5 - 1/30*p**6 + p**2 - 5 + 0*p**3 - 2/3*p**4 + 0*p. Let o(k) be the second derivative of z(k). Factor o(q).
-4*q*(q - 2)**2
Let c(i) be the second derivative of 3*i**7 + 298*i**6/15 + 507*i**5/10 + 194*i**4/3 + 44*i**3 + 16*i**2 - 99*i - 3. Suppose c(u) = 0. What is u?
-2, -1, -4/9, -2/7
Let h = 39 + -32. Factor -2*f - 12*f**3 - h*f - 51*f + 20 - 3*f**3 + 55*f**2.
-5*(f - 2)*(f - 1)*(3*f - 2)
Let z be 10/(-16)*17/85*(-7 - 7). Factor z*m**3 + 1/2 - 11/4*m**2 + 9/4*m**4 - 7/4*m.
(m - 1)*(m + 1)**2*(9*m - 2)/4
Let p(n) = -6*n**3 - n**2 - 4*n. Suppose -3 - 5 = 2*j. Let f be 2/((-3 + 1)/j). Let q(z) = -5*z**3 - 2*z**2 - 5*z. Let x(o) = f*p(o) - 5*q(o). Factor x(m).
m*(m + 3)**2
Let i(b) be the first derivative of -2*b**5/15 + 22*b**4/9 - 182*b**3/27 - 22*b**2/3 + 16*b + 389. Let i(y) = 0. What is y?
-1, 2/3, 3, 12
Let t(s) be the first derivative of -s**4 + 2*s**2 + 0*s - 18 + 10/3*s**3 - 2*s**5. Factor t(y).
-2*y*(y - 1)*(y + 1)*(5*y + 2)
Let j(z) be the third derivative of -z**8/47040 + z**7/5880 - 7*z**5/60 - 6*z**2. Let a(c) be the third derivative of j(c). Factor a(s).
-3*s*(s - 2)/7
Let q(z) = 3*z**2 + 33*z + 56. Let f be q(-2). What is v in -v + v**f + 1/3 - 1/3*v**3 = 0?
1
Suppose -40*j = -48*j. Let l(n) be the third derivative of 0*n**5 + 0*n**4 - 1/840*n**6 + 1/1470*n**7 + j*n + 0*n**3 + 2*n**2 + 0. Factor l(r).
r**3*(r - 1)/7
Let r(h) be the third derivative of h**8/2520 + h**7/420 - h**6/540 - h**5/60 + 8*h**3/3 + 11*h**2. Let k(w) be the first derivative of r(w). Factor k(b).
2*b*(b - 1)*(b + 1)*(b + 3)/3
Let d be 4*(7 + -2)/30. Let g be 2 - (-12)/(-7) - (-36)/21. Let 0 - 1/3*a**g - d*a = 0. What is a?
-2, 0
Let k(x) be the first derivative of -18*x**5 - 275*x**4/4 - 95*x**3 - 105*x**2/2 - 5*x + 58. Factor k(o).
-5*(o + 1)**3*(18*o + 1)
Factor -1/2*j**2 - 288 + 24*j.
-(j - 24)**2/2
Let u(y) be the third derivative of y**7/1050 + y**6/40 - 17*y**5/100 + 53*y**4/120 - 3*y**3/5 + 69*y**2. Factor u(l).
(l - 1)**3*(l + 18)/5
Let o(t) be the third derivative of 13*t**5/12 + 95*t**4/24 + 5*t**3 - 15*t**2. Factor o(p).
5*(p + 1)*(13*p + 6)
Let g be (-2 + 3)*(-51