et b(g) be the second derivative of 8*g**6/15 + 6*g**5 - 21*g**4/4 + 4*g**3/3 + 39*g. What is z in b(z) = 0?
-8, 0, 1/4
Let c(j) be the third derivative of j**5/90 + 13*j**4/36 + 22*j**3/9 + 5*j**2 + 7*j. What is l in c(l) = 0?
-11, -2
Let v(t) be the first derivative of 5/4*t**4 - 15/2*t**2 + 0*t**3 + 4 + 10*t. Let v(l) = 0. What is l?
-2, 1
Factor 0 + 3/7*i**3 - 6/7*i**2 + 0*i.
3*i**2*(i - 2)/7
Let z(x) be the third derivative of 0 + 0*x**4 + 0*x - 1/1008*x**8 + 0*x**3 - 1/180*x**5 - 12*x**2 + 1/630*x**7 + 1/360*x**6. What is d in z(d) = 0?
-1, 0, 1
Let f be (-60)/(-16) + (-6)/(-120)*-15. Solve -5/3*y**3 - 1/3*y**4 - f*y**2 - 2/3 - 7/3*y = 0 for y.
-2, -1
Let m = 4474/5 - 894. Factor -m*i**2 + 0 - 16/5*i.
-4*i*(i + 4)/5
Let a(o) be the first derivative of -o**6/9 - 4*o**5/3 - 7*o**4/2 + 8*o**3/9 + 28*o**2/3 + 155. What is u in a(u) = 0?
-7, -2, 0, 1
Suppose 3*g - 2*g = 0. Let v be (-1 - 10)*72/(-396). Factor 1/5*w**v - 1/5*w + g.
w*(w - 1)/5
Suppose 3*v + 16 = 7*v. Let g = -181 - -183. Solve -9*b**3 - 3*b + 9*b**g - 3*b**4 - v + 6*b**4 + 4 = 0 for b.
0, 1
Suppose 8*t + i + 5 = 3*t, -15 = 3*t + 3*i. Let q(d) be the second derivative of -1/20*d**5 + 9*d + t*d**3 + 0*d**2 + 0 + 1/12*d**4. Factor q(g).
-g**2*(g - 1)
Let o be (0 + (-2)/(-6))*(61 + -43). Let n(v) be the third derivative of 0*v - 4*v**2 - 1/60*v**5 + 1/48*v**4 + 1/240*v**o + 0 + 0*v**3. Factor n(h).
h*(h - 1)**2/2
Let l(i) be the third derivative of 0 + 1/90*i**5 + 14*i**2 + 0*i + 1/45*i**6 - 4/9*i**4 - 4/9*i**3. Solve l(g) = 0 for g.
-2, -1/4, 2
Let t = -318 - -12403/39. Let y(r) be the second derivative of 1/130*r**5 - 7*r - t*r**4 + 1/39*r**3 + 0 + 0*r**2. Factor y(c).
2*c*(c - 1)**2/13
Factor 8/5*k + 2/5*k**3 - 8/5*k**2 + 0.
2*k*(k - 2)**2/5
Let i(p) be the first derivative of -p**4/3 - 40*p**3/9 - 58*p**2/3 - 80*p/3 - 26. Suppose i(f) = 0. Calculate f.
-5, -4, -1
Let w(z) be the third derivative of 1/20*z**4 + 0 - 4/75*z**5 - 1/75*z**6 + 0*z + 3/5*z**3 - 12*z**2. Factor w(m).
-2*(m - 1)*(2*m + 3)**2/5
Determine f, given that 882/11 + 2/11*f**2 - 84/11*f = 0.
21
Let n(o) = -o**3 - 11*o**2 - 11*o - 12. Let v be n(-10). Let k be (162/45 + v)/((-2)/(-1)). Factor 8/5 + k*p**2 + 12/5*p.
4*(p + 1)*(p + 2)/5
Let m = 168 - 96. Let p = -72 + m. Find q, given that p + 3*q**4 + 0*q + 3/2*q**2 + 27/4*q**3 = 0.
-2, -1/4, 0
Suppose -t = -5*u + u - 23, 4*u - 69 = -3*t. Suppose -s + 31 + 2*s**2 - t + 9*s = 0. What is s?
-2
Suppose -8/3 - 1/6*i**4 - 20/3*i - 11/2*i**2 - 5/3*i**3 = 0. Calculate i.
-4, -1
Let x = 1272 - 1267. Factor 8/3 - 2/3*q**x - 16/3*q + 2/3*q**2 - 2/3*q**4 + 10/3*q**3.
-2*(q - 1)**3*(q + 2)**2/3
Let n = 820 - 270. Let y be 2/(-5) + 420/n. Find v, given that 2/11*v**3 - y + 10/11*v - 8/11*v**2 = 0.
1, 2
Let a(c) be the second derivative of 0*c**2 + 5/6*c**3 - 1/144*c**4 + 4*c + 0 - 1/135*c**6 + 1/90*c**5. Let o(k) be the second derivative of a(k). Factor o(s).
-(4*s - 1)**2/6
Let u = 65 + -64. Let x be 2 - 21*u/12. Suppose -3/4*v + x*v**3 - 1/2 + 0*v**2 = 0. What is v?
-1, 2
Suppose -v - 3*v = -5*h, 0 = 4*v + h. Let q(a) = a**3 - 6*a**2 + 4*a + 7. Let m be q(5). Find d, given that 6*d**2 - 6 - 42*d**3 + 44*d**3 + v*d - m*d = 0.
-3, -1, 1
Suppose -k + 5*p + 11 = -11, -4*k = p - 4. Let 4/5*u**3 - 16/5*u - 6/5*u**k + 2/5*u**4 - 8/5 = 0. What is u?
-2, -1, 2
Let o = -64 + 68. Suppose -5*i + 3*i = -3*b - 17, -o*i + 5*b + 31 = 0. Determine z, given that -1/3*z**5 + 0*z**2 + 1/3*z**i + 0*z + 2/3*z**3 + 0 = 0.
-1, 0, 2
Let i(d) be the second derivative of -2*d**6/105 - 23*d**5/35 + 8*d**4/7 - 5*d + 40. Factor i(w).
-4*w**2*(w - 1)*(w + 24)/7
Let h(c) be the third derivative of 0 + 0*c + 0*c**3 - 4*c**2 + 8/3*c**4 - 4/105*c**7 + 17/30*c**6 - 8/3*c**5. Determine m so that h(m) = 0.
0, 1/2, 4
Suppose -11*o - 40*o**3 + 16*o**4 - 69*o + 15*o**5 + 15*o**4 - 16 - 120*o**2 = 0. Calculate o.
-2, -1, -2/3, -2/5, 2
Factor -11948*k - 336 - 19*k**2 - 3*k**3 + 11732*k - 26*k**2.
-3*(k + 4)**2*(k + 7)
Suppose 6*y = 3*n + y - 22, 2*y = 5*n - 62. Suppose 0 = 2*m - 18 + n. Solve 3*c**m + 2*c - 3*c + 7 - 9 + 6*c = 0 for c.
-2, 1/3
Let g(z) be the first derivative of -4/55*z**5 + 0*z**2 - 1/33*z**6 - 2 - 1/22*z**4 + 0*z + 0*z**3. Solve g(w) = 0 for w.
-1, 0
Let l(v) = -15*v**2 + 30*v - 3. Let y(x) = -14*x**2 + 29*x - 4. Let o be 4/(-28)*-2*(9 + -2). Let m(d) = o*l(d) - 3*y(d). Find r, given that m(r) = 0.
1/4, 2
Let l(k) = -2*k**3 - 35*k**2 + 55*k - 38. Let r be l(-19). Solve r - 1/5*o - 1/5*o**2 = 0.
-1, 0
Let u = 511 - 511. Let q(n) be the third derivative of -3*n**2 + 1/6*n**5 + 0 + u*n + 1/60*n**6 + 2/3*n**4 + 4/3*n**3. Find v, given that q(v) = 0.
-2, -1
Let t(l) be the first derivative of -l**4/6 + l**3/3 + 2*l**2 + 9*l + 11. Let g(a) be the first derivative of t(a). Suppose g(m) = 0. What is m?
-1, 2
Let x(v) = -5*v**2 - 16*v - 21. Let z(l) = -12*l**2 - 31*l - 44. Let t(s) = -5*x(s) + 2*z(s). Factor t(k).
(k + 1)*(k + 17)
Suppose 0 = -4*b - b - 15, -5*h - 3*b = 64. Let u be (2*h*-1)/2. Factor -u*t**3 + 4*t - 9*t**4 - t**2 + 10*t**2 + 2*t + 5*t**3.
-3*t*(t - 1)*(t + 1)*(3*t + 2)
Let l(n) be the third derivative of -3*n**7/35 - 17*n**6/40 + 3*n**5/20 - 2*n**2 + 7*n. Factor l(c).
-3*c**2*(c + 3)*(6*c - 1)
Let h = 41/225 + 1/25. Let b(r) be the first derivative of 0*r**2 + h*r**3 + 3 - 1/4*r**4 + 0*r + 1/15*r**5. Let b(l) = 0. Calculate l.
0, 1, 2
Let r(g) be the first derivative of 16/3*g**2 - 6 + 1/18*g**4 + 7*g - 8/9*g**3. Let q(b) be the first derivative of r(b). Factor q(p).
2*(p - 4)**2/3
Suppose -2*t - 15 = -3*t - 5*j, -3*j = -4*t - 9. Let k(g) be the third derivative of 0*g - 1/45*g**5 - 11*g**2 - 8/9*g**3 - 2/9*g**4 + t. Factor k(s).
-4*(s + 2)**2/3
Let q = 39 - 37. Suppose 44*p + 23 + 52 + 3*p**3 - 27*p**q + p = 0. What is p?
-1, 5
Let i be 50/275 - (-2)/(-11). Determine q so that -6/5*q**4 + 0*q**2 + 3/5*q**5 + 0*q + i + 3/5*q**3 = 0.
0, 1
Let v = -71 - -72. Let g(w) = w**2 + w - 1. Let n(a) = -4*a + 2 + 6*a**2 - 3 + 13*a. Let c(s) = v*n(s) - 5*g(s). Determine f so that c(f) = 0.
-2
Let j(n) be the first derivative of -2/27*n**3 - 22/9*n**2 - 242/9*n - 32. Factor j(d).
-2*(d + 11)**2/9
Let u = -24 - -9. Let f = 17 + u. Factor -3*k - 1 + 21*k**f - 5 - 18*k**2.
3*(k - 2)*(k + 1)
Let c(m) be the third derivative of -m**7/20160 - m**6/5760 + m**5/480 - 17*m**4/12 - 12*m**2 + 1. Let o(y) be the second derivative of c(y). Factor o(i).
-(i - 1)*(i + 2)/8
Suppose -3/2*g**3 + 0 + 126*g**2 + 0*g = 0. Calculate g.
0, 84
Suppose 5*x + 3*h - 11 = 0, -3*x - 9 + 15 = 2*h. Factor 2/11*j**x - 4/11*j - 2/11 + 4/11*j**3 + 0*j**2.
2*(j - 1)*(j + 1)**3/11
Let r(h) = -5*h + 82. Let c be r(16). Let u(w) be the second derivative of 429/10*w**5 - 22*w**3 + 14*w + 0 + 169/10*w**6 + 6*w**c + 69/4*w**4. Factor u(g).
3*(g + 1)**2*(13*g - 2)**2
Let g be 2970/(-180)*27/(-22). Find k such that -9/2*k + 1/4*k**2 + g = 0.
9
Let 15/2*j**2 + 1/2*j**4 + 17/2*j**3 - 8 - 17/2*j = 0. What is j?
-16, -1, 1
Let v be (-2)/13 + (-145)/(-13). Suppose -v = -5*s - 1. Let -p**2 - p + p**s - 3*p**2 + 2*p**2 = 0. What is p?
-1, 0
Suppose 2*t = x + 3, -t - 4*t = -x - 12. Determine c so that -10*c**x - 2*c**3 + 6*c**4 - 2*c**4 = 0.
0, 3
Determine n so that 101*n + 20*n**3 + 185*n + 162*n + 179*n**2 + 546 + n**4 - 35*n**2 - 34 = 0.
-8, -4
Let s(a) = 19*a. Let w be s(7). Let j = -133 + w. Factor j*i**2 + 2*i + 4/3 - 2/3*i**3.
-2*(i - 2)*(i + 1)**2/3
Suppose -3*a + a = 0. Let k be (-1 - a)/(-1) - 26/(-13). Determine s, given that -s**k - 4/3*s**2 - 1/3*s + 0 = 0.
-1, -1/3, 0
Let n(z) = -z + 6. Let v be n(4). Suppose 13*b = b. Determine m so that b*m - 2/5*m**v + 2/5 = 0.
-1, 1
Let i(m) = -m**4 + 59*m**3 - 90*m**2 + 37*m. Let s(x) = 30*x**3 - 45*x**2 + 18*x. Let w(c) = -3*i(c) + 5*s(c). Find r, given that w(r) = 0.
0, 1, 7
Let h(a) = -5*a**3 - 123*a**2 - 2424*a - 15997. Let q(y) = -6*y**3 - 124*y**2 - 2432*y - 15996. Let k(s) = -4*h(s) + 3*q(s). Factor k(l).
2*(l + 20)**3
Let u = -31 - -34. Determine w, given that -15*w**2 - u*w - 3*w**3 - 7*w - 2*w**3 = 0.
-2, -1, 0
Let f(q) = -q**4 + q + 1. Let u(x) = 2*x**4 - 5*x**3 + 7*x**2 - 4*x - 1. Let n(w) = -5*f(w) - 5*u(w). Factor n(c).
-5*c*(c - 3)*(c - 1)**2
Let m be ((-4)/42)/(44/(-264)). Factor -2/7*s - m*s**2 + 2/7*s**3 + 4/7.
2*(s - 2)*(s - 1)*(s + 1)/7
Let r be 21060/2704 + (4/(-5) - 33/(-