ind x, given that q(x) = 0.
-1, 0
Let 507 - 533*y + 79/3*y**2 - 1/3*y**3 = 0. What is y?
1, 39
Factor 120 - 28*j**2 - 129*j + 679*j - 138*j.
-4*(j - 15)*(7*j + 2)
Let q(m) be the second derivative of m**5/100 - m**4/20 - 140*m. Factor q(v).
v**2*(v - 3)/5
Let y(p) be the second derivative of 4/3*p**4 - 4/3*p**3 + 0 + 0*p**2 + 1/15*p**6 + 8*p - 1/2*p**5. Factor y(w).
2*w*(w - 2)**2*(w - 1)
Solve 92/15*w**4 + 2/15*w**5 - 38/3*w**3 + 32/5*w**2 + 0 + 0*w = 0 for w.
-48, 0, 1
Let o(i) be the first derivative of 1/12*i**4 + 1/6*i**3 + 6*i + 0*i**2 + 2. Let u(t) be the first derivative of o(t). Factor u(h).
h*(h + 1)
Let s(j) be the first derivative of 2*j**3/21 - 3*j**2/7 - 33. Let s(v) = 0. What is v?
0, 3
Let k(z) be the second derivative of -15*z**7/14 - 19*z**6/2 - 16*z**5 - 25*z**4/3 - 2*z + 2. Suppose k(f) = 0. Calculate f.
-5, -2/3, 0
Let f(m) be the third derivative of -m**9/15120 + m**7/2100 - m**5/600 - 5*m**3/6 - 4*m**2. Let p(t) be the first derivative of f(t). Factor p(s).
-s*(s - 1)**2*(s + 1)**2/5
Let z(d) be the third derivative of -d**6/120 + d**5/30 - d**4/12 + 8*d**2. Let i(j) = -j**2 + j. Let k(x) = 2*i(x) - z(x). Factor k(t).
t*(t - 2)**2
Let b(t) = -15*t**3 - 10*t**2 + 50*t - 35. Let d(n) = 22*n**3 + 15*n**2 - 75*n + 52. Let r(k) = -7*b(k) - 5*d(k). Find f such that r(f) = 0.
-3, 1
Let y(o) be the first derivative of o**6/21 - 22*o**5/35 - o**4/7 + 44*o**3/21 + o**2/7 - 22*o/7 - 277. Suppose y(b) = 0. Calculate b.
-1, 1, 11
Let i = -9/20 - -17/20. What is l in i*l**2 + 4/5*l + 0 = 0?
-2, 0
Let 2/5*d**2 + 48/5 - 4*d = 0. Calculate d.
4, 6
Let d(v) be the first derivative of -21 + 1/5*v**3 + 0*v**2 - 12/5*v. Find f, given that d(f) = 0.
-2, 2
Suppose -450 = -4*c - 2*g, -c + 5*g = -125 + 7. Let z = 117 - c. Find m, given that -2/3*m + 2/3*m**2 - 2/3*m**z + 0 + 2/3*m**3 = 0.
-1, 0, 1
Let g(z) be the first derivative of 8*z**3/3 + 70*z**2 + 68*z - 129. Factor g(d).
4*(d + 17)*(2*d + 1)
Find q such that 13*q**3 - 3*q**3 - 4*q + 6*q**2 - q - 11*q**3 = 0.
0, 1, 5
Let k be 9*(-4)/(-12) + -1. Factor k*j**2 - 2*j**2 + j**3 - 3*j**2 + 2*j**3.
3*j**2*(j - 1)
Suppose -2*j + 3*j = s + 3, s = -j + 5. Let o(g) = -g + 41. Let w be o(-9). Factor 1 + w*z**3 - 30*z**4 - j*z**5 + 5 - 40*z**2 - 8 + 15*z + 11*z**5.
(z - 1)**4*(7*z - 2)
Let c(l) be the first derivative of 2/65*l**5 - 2/39*l**3 - 1/13*l**2 + 1/26*l**4 + 0*l + 28. Factor c(v).
2*v*(v - 1)*(v + 1)**2/13
Let s = 13 - 9. Suppose -2 = -2*r + s. Factor -4*q**2 - 8*q**2 + 3*q**3 + 3 - r*q**2 + 24*q - 15.
3*(q - 2)**2*(q - 1)
Suppose 3*g - 3 - 9 = 0. Let r(d) be the second derivative of 0*d**2 - 1/42*d**g + 0 - 2*d + 0*d**3 - 1/70*d**5. Factor r(j).
-2*j**2*(j + 1)/7
Let h(t) be the third derivative of -16/3*t**3 - 5/2*t**4 + 30*t**2 + 0 + 0*t + 1/30*t**6 - 2/5*t**5. Factor h(o).
4*(o - 8)*(o + 1)**2
Let s(y) be the third derivative of y**8/112 - 3*y**7/5 + 77*y**6/40 + 31*y**5/5 - 39*y**4/2 - 80*y**3 - 62*y**2 - 2. Suppose s(b) = 0. Calculate b.
-1, 2, 40
Let z(m) be the second derivative of 1/2*m**3 - 1/12*m**4 + 0 + 0*m**2 - m. Suppose z(k) = 0. What is k?
0, 3
Let t(w) = w**3 + 78*w**2 - 241*w + 162. Let v be t(-81). Factor -10/13*i**2 + v - 4/13*i.
-2*i*(5*i + 2)/13
Let i be (-1782)/(-80) + -2 + ((-285)/(-152))/15. Factor -21/5*v**3 - 57/5*v**2 + i*v - 24/5.
-3*(v - 1)*(v + 4)*(7*v - 2)/5
Let j(r) be the second derivative of r**5/10 - 115*r**4/6 + 3248*r**3/3 + 3364*r**2 - 40*r. Factor j(v).
2*(v - 58)**2*(v + 1)
Let z(k) be the second derivative of -k**7/42 + 3*k**6/10 + 11*k**5/10 + k - 7. Solve z(f) = 0 for f.
-2, 0, 11
Let w = -38 + -13. Let v be (-2)/(-6) + w/(-9). Factor 2 - 3*d - v*d**3 + 21*d**5 - 5 - 12*d**5 - 15*d**4 + 18*d**2.
3*(d - 1)**3*(d + 1)*(3*d + 1)
Let a(j) be the second derivative of j**6/200 + j**5/50 + j**4/40 + 4*j**2 + 9*j. Let v(b) be the first derivative of a(b). Determine g so that v(g) = 0.
-1, 0
Determine d so that -80/7*d - 62/7*d**3 - 24/7 - 2/7*d**5 - 18/7*d**4 - 102/7*d**2 = 0.
-3, -2, -1
Let a(x) = -x - 13. Let b be a(-19). Let 1 - b + 12*h - 3*h**2 - 6 + 2 = 0. Calculate h.
1, 3
Let k(q) = -q**2 - 10*q - 5. Let r be k(-9). Suppose 7 = -r*a + 3*z, -a + 2*a = z - 3. Factor -3*d**2 - 6 + 0*d**2 - 3*d - 6*d + 0*d**a.
-3*(d + 1)*(d + 2)
Let p(x) = -3*x**4 + 6*x**3 + 7*x**2 - 6*x + 2. Let i(s) = -s**4 + s**3 + s**2 - 3*s + 1. Let u(b) = 2*i(b) - p(b). Determine l so that u(l) = 0.
-1, 0, 5
Solve -3*i**2 - 12*i**2 - 674 + 55*i + 644 = 0.
2/3, 3
Let g(y) be the second derivative of y**5/12 - 25*y**4/24 + 10*y**3/3 - 15*y**2/2 - 25*y. Let r(h) be the first derivative of g(h). Find f, given that r(f) = 0.
1, 4
Let y(i) be the third derivative of -i**5/480 - 11*i**4/96 - 5*i**3/6 + 96*i**2. What is s in y(s) = 0?
-20, -2
Let v = -126 - -116. Let c be 8/12 + v/15. Let -1/6*g**2 + c - 1/3*g = 0. What is g?
-2, 0
Let q = -585 - -585. Let n(s) be the second derivative of -4*s + q*s**2 + 1/2*s**4 + 3/20*s**5 + 0*s**3 + 0. Factor n(c).
3*c**2*(c + 2)
Let z(r) be the third derivative of -r**6/24 + 11*r**5/4 - 60*r**4 + 640*r**3/3 + 2*r**2 - 432*r. Factor z(s).
-5*(s - 16)**2*(s - 1)
Let o = 2920 + -2918. Determine t, given that 6/5*t**o + 2/5*t**3 + 2 - 18/5*t = 0.
-5, 1
Let j(t) = 5*t**2 - 3*t + 1. Let r = -30 - -34. Let z(c) = -6*c**2 + 4*c - 2. Let m(b) = r*j(b) + 3*z(b). Factor m(k).
2*(k - 1)*(k + 1)
Let q(n) be the second derivative of n**4/18 + n**3/18 - n**2/6 + 10*n - 11. Let q(r) = 0. What is r?
-1, 1/2
Let m(w) be the second derivative of 5*w**7/14 + 25*w**6/3 + 151*w**5/2 + 325*w**4 + 3875*w**3/6 + 625*w**2 - 45*w. Factor m(p).
5*(p + 1)*(p + 5)**3*(3*p + 2)
Suppose -25 = -17*g + 9. Let i = 404 - 2822/7. What is u in i*u**g + 8/7 - 26/7*u = 0?
1/3, 4
Let j be (4/(-9))/(1 + (-24)/18). Let v(d) be the first derivative of -j*d**6 + 0*d**2 - 1 + 0*d - 2*d**4 + 4*d**5 + 0*d**3. Factor v(n).
-4*n**3*(n - 2)*(2*n - 1)
Let k be ((-18)/70)/((-20)/(-28) + -1). Let z(q) be the second derivative of 1/2*q**3 - 2/5*q**6 + k*q**5 + 0*q**2 - q**4 + 2*q + 1/14*q**7 + 0. Factor z(j).
3*j*(j - 1)**4
Let u = 111 - 117. Let i be (-19)/u - (275/30 + -9). Suppose -4*c**i + 2 + 5/2*c**4 + 4*c - 9/2*c**2 = 0. What is c?
-1, -2/5, 1, 2
Let n = -943 - -12263/13. Factor 0 - 2/13*m**2 - n*m.
-2*m*(m + 2)/13
Let s = -14 + 17. Solve 5*g**s - 6*g**2 + 12*g + 2*g**2 - 11*g**3 - 10*g**3 = 0 for g.
-1, 0, 3/4
Let o(p) be the second derivative of 0 - 9/20*p**5 + 0*p**3 - 2/5*p**6 + 5*p - 1/14*p**7 + 0*p**2 + 0*p**4. Let o(z) = 0. Calculate z.
-3, -1, 0
Suppose 2*g = -2*z - 0*g + 1360, 4*z = 5*g + 2675. Factor 13*r**2 - 15*r**2 + 5*r**2 + z + 90*r.
3*(r + 15)**2
Let j(h) be the second derivative of h**4/6 + 22*h**3/3 + 21*h**2 + 30*h + 2. Factor j(z).
2*(z + 1)*(z + 21)
Let o(c) = 5*c**2 - 3*c + 5. Let z(q) = -23*q - 6 + 46*q - 4*q**2 - 19*q. Let d(y) = -6*o(y) - 5*z(y). Suppose d(s) = 0. What is s?
-1/5, 0
Let z(t) = 14*t**5 - 50*t**4 + 158*t**3 + 190*t**2 - 148*t - 212. Let v(a) = a**5 - a**4 - 4*a**2 + a - 1. Let l(u) = 12*v(u) - z(u). Let l(b) = 0. What is b?
-1, 1, 10
Let c = 21 - 15. Factor -y**5 - 3*y + 2*y**4 + 1 - y**4 - 4*y + c*y + 2*y**3 - 2*y**2.
-(y - 1)**3*(y + 1)**2
Let w be 3*((-749)/28 - -26)/((-27)/2). Let w*o**5 + 0 + 1/2*o**4 + 0*o - 2/3*o**2 + 0*o**3 = 0. What is o?
-2, 0, 1
Let y(z) be the first derivative of 1/22*z**4 + 27/11*z**2 + 54/11*z + 6/11*z**3 - 2. Let y(n) = 0. Calculate n.
-3
Let u(m) be the first derivative of -m**6/3 - 24*m**5/5 - 35*m**4/2 + 8*m**3 + 36*m**2 - 108. Solve u(v) = 0.
-6, -1, 0, 1
Let c = -4003/2 - -2003. Let u(y) be the second derivative of -y**3 + 0 + c*y**2 + 5*y + 1/4*y**4. Suppose u(m) = 0. What is m?
1
Suppose -12*c - b + 17 = -9*c, -9 = -3*c + 3*b. Let 2/7*z**2 + 2/7*z**c + 0 + 0*z + 6/7*z**4 + 6/7*z**3 = 0. Calculate z.
-1, 0
Let h(z) be the third derivative of -z**7/945 + 7*z**6/180 + 5*z**5/9 + 79*z**4/27 + 8*z**3 + 174*z**2. Factor h(m).
-2*(m - 27)*(m + 2)**3/9
Let t(y) be the second derivative of -5*y**7/21 + 22*y**6/15 + 7*y**5/10 - 38*y**4/3 + 68*y**3/3 - 16*y**2 - 65*y - 2. Find r, given that t(r) = 0.
-2, 2/5, 1, 4
Let a(o) = -16*o**3 + 10*o**2 - 104*o + 100. Let j(k) = k**3 + k**2 + k. Let h(m) = -2*a(m) - 28*j(m). Find i, given that h(i) = 0.
2, 5
Let j be 4/(-32)*-4*2. Suppose 2*h + j = -l, 5*l + 18 = -3*h - 1. Solve 3/7*d