 be the third derivative of -g**8/60480 + g**6/2160 - g**5/30 + 12*g**2. Let a(v) be the third derivative of h(v). Factor a(k).
-(k - 1)*(k + 1)/3
Let p be (-6)/(-24) - (-31)/4. Let j be (-18)/(-4)*p/18. Determine y, given that 2/9*y**j + 2/3*y + 4/9 = 0.
-2, -1
Let a(s) be the second derivative of 12*s**6/25 + 12*s**5/25 - 11*s**4/30 + s**3/15 - s - 41. What is g in a(g) = 0?
-1, 0, 1/6
Suppose 8*a - 200 = 4*a. Factor 3*q**3 - a + 4*q + 50 - 6*q**2 - q**3.
2*q*(q - 2)*(q - 1)
Let j(d) be the first derivative of d**5/40 - 15*d**4/32 + 2*d**3 + 4*d**2 - 798. Factor j(h).
h*(h - 8)**2*(h + 1)/8
Let h(a) be the second derivative of a**4/132 + 17*a**3/33 + 289*a**2/22 + 48*a. Factor h(f).
(f + 17)**2/11
Let a(t) be the second derivative of 1/16*t**4 + 1/12*t**3 - 1/40*t**6 - 1/40*t**5 + 45*t + 0*t**2 + 0. Factor a(i).
-i*(i - 1)*(i + 1)*(3*i + 2)/4
Suppose 4/9*w**2 - 8/9*w**3 - 2/9*w**5 - 8/9*w**4 + 4/9 + 10/9*w = 0. What is w?
-2, -1, 1
Let x(h) = -12*h**3 + 2*h**2 + 3*h + 2. Let c be x(-1). Suppose 4*y + 5 - c = 0. What is m in -4/5*m + 4/5 + 1/5*m**y = 0?
2
Suppose -11*t + 182 = 2*t. Suppose -t*b = 2 - 44. Factor -1/4 + 0*y**2 - 3/8*y + 1/8*y**b.
(y - 2)*(y + 1)**2/8
What is j in -2/7*j**4 + 0 + 8/7*j**2 - 2/7*j**3 + 8/7*j = 0?
-2, -1, 0, 2
Let a(b) be the first derivative of -b**4/8 + 3*b**3/2 - 27*b**2/4 + 27*b/2 + 119. Find l such that a(l) = 0.
3
Let w(r) = -2*r**3 - 8*r**2 + 13. Let f be w(-6). Determine v so that -8 + 2*v**4 + 2*v**2 + 149*v + 8*v**3 + 4*v**2 - f*v = 0.
-2, -1, 1
Let y(h) = 2*h + 3. Let p be y(4). Let j = 19 - p. Suppose -2 - 16*r**2 - 5 + 7 - 14*r**4 - j*r + 38*r**3 = 0. Calculate r.
-2/7, 0, 1, 2
Let y(w) be the third derivative of 1/9*w**3 + 0*w + 1/180*w**5 + 13*w**2 + 0 - 1/24*w**4. Factor y(z).
(z - 2)*(z - 1)/3
Let w be 63*(1 + 3 + -3). Let x = w - 60. Suppose -2*u**4 + 1/2*u + x*u**3 + 0 + 1/2*u**5 - 2*u**2 = 0. Calculate u.
0, 1
Let n = 29800 - 29785. Factor 0 + 10/3*d + n*d**2.
5*d*(9*d + 2)/3
Let m(k) = 2*k**2 + k - 2. Let t(w) = 65*w**2 + 1380*w + 91065. Let a(f) = 30*m(f) - t(f). Let a(j) = 0. What is j?
-135
Let d(b) be the first derivative of 4*b**3/3 + 8*b**2 - 84*b + 38. Factor d(q).
4*(q - 3)*(q + 7)
Let 48/7*d**2 + 6/7*d**3 - 24/7 - 24/7*d**4 - 3/7*d - 3/7*d**5 = 0. What is d?
-8, -1, 1
Let i(q) be the first derivative of 30 + 5/3*q**3 - 35*q + 15*q**2. Factor i(b).
5*(b - 1)*(b + 7)
Let y(j) = -88*j**4 + 1661*j**3 + 304*j**2 - 40. Let s(g) = 484*g**4 - 9136*g**3 - 1672*g**2 + 224. Let o(c) = -5*s(c) - 28*y(c). Find t such that o(t) = 0.
-2/11, 0, 19
Let a(y) be the second derivative of y**5/4 - 55*y**4/12 - 10*y**3 - 2*y - 54. Factor a(s).
5*s*(s - 12)*(s + 1)
Let b be ((-1)/(-5))/(36/156). Let c = b + 7/15. Solve 2/3*t**2 + c*t + 2/3 = 0.
-1
Let d(l) be the second derivative of l**4/20 + l**3/2 - 36*l**2/5 - 6*l - 1. Factor d(h).
3*(h - 3)*(h + 8)/5
What is w in -3*w**4 + 0*w - 39/2*w**3 + 0 - 15*w**2 + 3/2*w**5 = 0?
-2, -1, 0, 5
Let k(i) be the third derivative of -i**8/1120 + i**6/240 - 4*i**3 + 4*i**2. Let f(s) be the first derivative of k(s). Factor f(c).
-3*c**2*(c - 1)*(c + 1)/2
Let h = -342 + 307. Let b be -4 + h/(-3) - (-6 - -11). Factor 0 - 2/3*x**5 - 2*x**4 + b*x**2 + 0*x**3 + 0*x.
-2*x**2*(x - 1)*(x + 2)**2/3
Let w(r) be the third derivative of -14*r**2 + 0*r**4 + 0 + 0*r + 1/10*r**6 + 0*r**3 + 1/210*r**7 - 1/112*r**8 - 1/15*r**5. Let w(h) = 0. Calculate h.
-2, 0, 1/3, 2
Suppose 0 = -44*r + 48*r + 20. Let h(z) = z**4 + z**2 + z. Let s(i) = 8*i**4 - 9*i**3 - 7*i**2 + 5*i. Let l(w) = r*h(w) + s(w). Find f, given that l(f) = 0.
-1, 0, 4
Suppose -78*m + 3 = 62*m + 3. Solve -1/3*x**4 - 1/3*x**3 + 1/3*x**2 + 1/3*x + m = 0 for x.
-1, 0, 1
Let q(b) be the second derivative of -2*b**7/21 - 4*b**6/15 + 3*b**5/5 - 141*b. Find c, given that q(c) = 0.
-3, 0, 1
Let b(q) be the first derivative of -q**3/8 - 15*q**2/4 - 75*q/2 + 20. Factor b(v).
-3*(v + 10)**2/8
Factor -7/5*o**4 - 2/5*o + 0 + 13/5*o**2 + 8/5*o**3.
-o*(o - 2)*(o + 1)*(7*o - 1)/5
Let g(x) = 0*x**2 + 3*x**2 - x**2 + 15*x - 6. Let w be g(-8). Factor -5*p - p**3 - 2*p**4 + 3*p**3 + w*p**2 + 3*p.
-2*p*(p - 1)**2*(p + 1)
Let d = 6134 + -18587/3. Let n = d + 62. Let 0 - 2/3*y + 1/3*y**3 + n*y**2 = 0. Calculate y.
-2, 0, 1
Let m(d) be the third derivative of -1/78*d**5 + d**2 + 1/52*d**4 + 0*d - 1/260*d**6 + 1/39*d**3 + 4/1365*d**7 + 0. Find z such that m(z) = 0.
-1, -1/4, 1
Let d(l) be the first derivative of 3*l**4/4 - l**3/3 - 3*l - 7. Let w be d(2). Factor -27*t**3 + 13*t**3 + w*t**3 + t**5 + 3*t**4 + t**2.
t**2*(t + 1)**3
Factor 4/5*p**3 + 0*p + 184/5*p**2 + 0.
4*p**2*(p + 46)/5
Let i(c) = -c**3 - 3*c**2 + 4*c. Let n be i(0). Factor n*q**2 + 0 + 0*q + 4/9*q**4 + 4/9*q**3.
4*q**3*(q + 1)/9
Suppose -6*j - 84 = -27*j. Solve 0 + 2*o + 8/3*o**j - 8/3*o**2 - 2/3*o**5 - 4/3*o**3 = 0.
-1, 0, 1, 3
Let n(u) = -66*u**3 - 161*u**2 + 53*u + 41. Let x(s) = -45*s**3 - 107*s**2 + 35*s + 27. Let h(j) = 5*n(j) - 7*x(j). Factor h(p).
-(p + 4)*(3*p - 2)*(5*p + 2)
Let m(t) = -t**2 + 1. Let l(j) = -j**3 + j**2 + 18*j + 6. Let n(d) = -5*l(d) + 30*m(d). Determine o so that n(o) = 0.
-2, 0, 9
Let i(l) = -3*l**5 + 12*l**4 - 23*l**3 + 12*l**2 - l. Let g(j) = -j**5 - j**3 - j. Let n(a) = g(a) - i(a). Factor n(m).
2*m**2*(m - 3)*(m - 2)*(m - 1)
Let -164*z**2 - 35*z**3 - 136*z**2 - 30*z - 5*z**4 + 5*z**5 + 365*z**2 = 0. What is z?
-3, 0, 1, 2
Suppose 5*d - 4 = 17*q - 15*q, -3*q + 13 = 2*d. Factor 1/10*u**4 - 1/5*u**q - 1/10 + 1/5*u + 0*u**2.
(u - 1)**3*(u + 1)/10
Let t(n) be the third derivative of -n**6/24 + 3*n**5/4 - 15*n**4/4 - 118*n**2 - n. Solve t(x) = 0 for x.
0, 3, 6
Suppose -2*u - 3*d + 16 = 0, 17*d = -4*u + 12*d + 28. Factor 2/17*g**u - 6/17*g + 4/17.
2*(g - 2)*(g - 1)/17
Suppose 5*q - q - 14 = 3*y, -5*y = -2*q. Suppose y*m - 9 = -m. Suppose 8 - 8 - 4*d**m + d + 3*d**2 = 0. Calculate d.
-1/4, 0, 1
Let u(l) be the first derivative of -3*l**5/5 + 6*l**3 + 12*l**2 + 9*l + 17. Factor u(q).
-3*(q - 3)*(q + 1)**3
Suppose 2*y - 8 = 0, -3*p + 2*y - 5*y + 84 = 0. Suppose -27*v + 6 = -p*v. Let 1/4*n**3 + 0*n + 0 + 1/4*n**v = 0. Calculate n.
-1, 0
Let a(r) = 6*r - 40. Let j be a(7). Determine q, given that 2*q + 23*q**2 - 4*q - q**3 - 20*q**j = 0.
0, 1, 2
Let r(k) = 4*k**5 + 4*k**4 - 19*k**3 - 2*k**2 - 5*k + 3. Let p(c) = c**5 + c**4 - 5*c**3. Let n(q) = 5*p(q) - r(q). Solve n(x) = 0 for x.
-3, -1, 1
Let h = -10 + 4. Let m = h - -20. Factor 7*l**2 - 2*l + 8*l**2 - m*l**2 + 4*l.
l*(l + 2)
Factor 4 + 42*h**3 - 1236*h**2 + 1524*h**2 + 107*h**3 - 70*h + 13*h**3.
2*(h + 2)*(9*h - 1)**2
Let u(k) be the first derivative of 0*k - 2/9*k**3 - 1/36*k**6 - 1 - 2/15*k**5 - 1/4*k**4 - 1/12*k**2. Factor u(o).
-o*(o + 1)**4/6
Let z(t) = -4*t**2 - t + 2. Let y(s) = -9*s**2 + 2. Let m(l) = 6*y(l) - 14*z(l). Factor m(h).
2*(h - 1)*(h + 8)
Let f(q) be the second derivative of -q**7/420 - q**6/240 + q**5/60 + 3*q**2 + 3*q. Let n(u) be the first derivative of f(u). Factor n(i).
-i**2*(i - 1)*(i + 2)/2
Let t(n) = -6*n**2 - 4*n - 3. Let l(b) = -b**2 - b - 1. Suppose o - 7 = 4*a + 2*o, 0 = -5*a + 3*o - 30. Let s(d) = a*t(d) + 15*l(d). Let s(u) = 0. What is u?
-1, 2
Let h be (((-39)/(-130))/(-1))/((-9)/5). Let o(c) be the second derivative of 0*c**2 - 3*c + h*c**3 + 0 - 1/20*c**5 + 0*c**4. Determine z so that o(z) = 0.
-1, 0, 1
Let o(m) be the first derivative of m**4 - 44*m**3/3 + 48*m**2 + 144*m - 2. Find i such that o(i) = 0.
-1, 6
Let n(o) be the first derivative of 17/5*o**3 + 192/5*o - 3/20*o**4 - 40 - 24*o**2. Factor n(p).
-3*(p - 8)**2*(p - 1)/5
Let r = -321261/56 + 5737. Let o = r + 3/56. Factor -o*h**3 + 0 - 3/4*h**2 - 1/2*h.
-h*(h + 1)*(h + 2)/4
Let a(p) = -2*p**3 + 2*p. Let n(s) = 4*s**4 - 20*s**3 - 28*s**2 + 20*s + 24. Let z(m) = -12*a(m) + n(m). Suppose z(o) = 0. What is o?
-3, -1, 1, 2
Let d be -11 - 74*(-10)/60. Factor d*k**2 - 2/3*k**4 - 2/3 + 0*k**3 + 0*k.
-2*(k - 1)**2*(k + 1)**2/3
Suppose l + 3 = 42. Let d = 41 - l. Solve 0 + 0*w - 2/9*w**3 + 2/9*w**d = 0 for w.
0, 1
Let g(q) be the first derivative of -12 + 1/2*q**4 - 5*q**2 - 2/3*q**3 - 6*q. Solve g(t) = 0.
-1, 3
Let n(q) be the first derivative of q**6/24 - q**5/2 - 51*q**4/16 - 17*q**3/3 - 7*q**2/2 + 99. What is s in n(s) = 0?
-2, -1, 0, 14
Let w(g) = 53*g**2 - 112*g - 30. Let v(z) = 18*z**2 - 37*z - 10. Let l be (-11 + 