e the third derivative of 3*x**6/320 + 17*x**5/480 + 7*x**4/192 - x**3/48 + 254*x**2. What is o in u(o) = 0?
-1, 1/9
Let f(r) = 4*r**2 + r. Let u(j) = 75*j**2 + 42*j - 27. Let c(b) = -18*f(b) + u(b). Factor c(d).
3*(d - 1)*(d + 9)
Solve 134/11*r + 34/11 - 8/11*r**2 = 0.
-1/4, 17
Let m = -2070 - -2070. Let y(x) be the third derivative of m*x - 1/126*x**8 + 0*x**4 + 1/105*x**7 + 0*x**3 + 0*x**5 + 1/180*x**6 + 0 - 9*x**2. Factor y(o).
-2*o**3*(o - 1)*(4*o + 1)/3
Let f(d) be the second derivative of d**6/150 + 3*d**5/50 + 11*d**4/60 + d**3/5 + 388*d. Find j, given that f(j) = 0.
-3, -2, -1, 0
Let k(w) = -w - 14. Let u be k(-17). Factor 0*y**2 + 300 - 18*y + u*y**2 - 39*y - 3*y.
3*(y - 10)**2
Factor 4/7*m**2 - 1312/7*m + 107584/7.
4*(m - 164)**2/7
Let y = 31679/4 + -7965. Let i = -889/20 - y. Solve 11/5*r**4 + 1/5*r**2 - 1/5*r + 0 + 9/5*r**3 + i*r**5 = 0 for r.
-1, 0, 1/4
Solve -1682/9 - 116/9*f - 2/9*f**2 = 0 for f.
-29
Let z(k) be the third derivative of -k**8/392 - 13*k**7/245 - 11*k**6/140 + 13*k**5/70 + 3*k**4/7 - 423*k**2. Let z(q) = 0. Calculate q.
-12, -1, 0, 1
Let n = -2759 + 13859/5. Find x, given that -n*x**2 - 16/5*x**4 + 0 - 32/5*x - 48/5*x**3 - 2/5*x**5 = 0.
-2, 0
Let t(w) = 3*w**3 - 462*w**2 - 4284*w - 6936. Let i(y) = -y**3 + 116*y**2 + 1071*y + 1734. Let f(l) = -15*i(l) - 4*t(l). Determine c so that f(c) = 0.
-17, -2
Let r(a) be the first derivative of a**3/7 - 18*a**2/7 + 60*a/7 - 96. Solve r(c) = 0 for c.
2, 10
Suppose -88 = 4*q + 4*q. Let t = q + 18. Factor -11 + 2*b**2 + 5 - 4*b + b**2 + t*b.
3*(b - 1)*(b + 2)
Let x(z) = -z**2 + 1. Suppose 2*u - p - 5 = 0, -2*p - 99 + 88 = -5*u. Let t(w) = -6 + 4*w**2 - 1 + 1 + 2*w. Let b(f) = u*t(f) + 2*x(f). Factor b(c).
2*(c - 1)*(c + 2)
Let o(g) be the first derivative of -g**6/8 - 3*g**5/5 - 3*g**4/4 + g**3/2 + 15*g**2/8 + 3*g/2 + 39. Find f such that o(f) = 0.
-2, -1, 1
Let t(m) be the first derivative of -m**4/18 + 4*m**3/9 + 4*m**2 - 48*m - 259. Factor t(n).
-2*(n - 6)**2*(n + 6)/9
Let f(k) be the first derivative of 5*k**4/4 + 20*k**3/3 - 255*k**2/2 + 450*k - 540. Determine m, given that f(m) = 0.
-10, 3
Let j(q) be the first derivative of -27/8*q**4 + 9/2*q**3 + 1/2*q - 12 - 9/4*q**2. Factor j(m).
-(3*m - 1)**3/2
Suppose -4*r + 35 + 45 = 0. Suppose 22 = b + r. Suppose -1/2*t**4 + t**3 + 1/2 - t + 0*t**b = 0. Calculate t.
-1, 1
Let a(z) = 4*z - 36. Let f be a(9). Let d(i) be the second derivative of 3*i**2 - 3/2*i**3 + 1/4*i**4 + 3*i + f. Solve d(m) = 0.
1, 2
Let z(t) = 3*t**2 + 17*t - 6. Let b be z(-6). Determine s so that -2/5*s**3 + 0*s**2 + 2/5*s + b = 0.
-1, 0, 1
Suppose -8*h + b + 20 = 0, 2*h = 7*b - 4*b + 16. Factor 3*d**5 + 0*d - 3/4*d**4 + 0*d**3 + 0*d**h + 0.
3*d**4*(4*d - 1)/4
Let d = -18510/11 + 5313943/3157. Let f = d + 3/41. Factor 0 + 0*m**3 - f*m + 2/7*m**4 - 6/7*m**2.
2*m*(m - 2)*(m + 1)**2/7
Let p(y) = -y**3 + 24*y**2 + 77*y + 111. Let k be p(27). Let q = 2555/26 + -195/2. Find z, given that 8/13*z + 8/13 + q*z**k - 2*z**2 = 0.
-2/5, 1, 2
Let a(j) be the first derivative of -10 - 8*j - 274/3*j**3 - 81/5*j**5 + 42*j**2 + 279/4*j**4. Factor a(y).
-(y - 2)*(y - 1)*(9*y - 2)**2
Solve 7*r - 27*r**5 - 6*r**4 + 6*r**2 - 10*r + 30*r**5 = 0.
-1, 0, 1
Suppose 5*f = -34 - 16. Let j be (f/(-2) + -5)/(-1). Suppose -6/5*s**2 + j + 2/5*s + 6/5*s**3 - 2/5*s**4 = 0. Calculate s.
0, 1
Let x(z) be the third derivative of -z**8/336 - 41*z**7/210 + 11*z**6/30 + 7*z**5/5 + 38*z**2 + 8. Let x(l) = 0. What is l?
-42, -1, 0, 2
Let n(z) be the first derivative of z**5/70 + z**4/14 - z**3/21 - 3*z**2/7 + 11*z + 6. Let a(f) be the first derivative of n(f). Factor a(q).
2*(q - 1)*(q + 1)*(q + 3)/7
Suppose z - 5 = -1. Suppose 0 = -z*l, -y + l + 4*l = 0. Let -2/3*c**4 - 2/3*c - 2*c**2 - 2*c**3 + y = 0. Calculate c.
-1, 0
Let v(l) = -l**2 + 17*l - 11. Let i be v(16). Suppose -2*b - 19 = i*q, -b + 5*b - 3*q - 27 = 0. Factor 2/3*p**4 - 4/3*p**b + 0*p + 0*p**2 + 0.
2*p**3*(p - 2)/3
Let s(a) = a**2 + 2. Let d(b) = 6*b**2 + 8*b - 16. Let g(q) = -d(q) - 6*s(q). Factor g(f).
-4*(f + 1)*(3*f - 1)
Let n(y) be the first derivative of y**8/7560 + y**7/1890 + y**3/3 - 17. Let t(a) be the third derivative of n(a). Factor t(c).
2*c**3*(c + 2)/9
Let z = 521269/13 - 40097. Factor -2/13*r**2 - z*r - 8/13.
-2*(r + 2)**2/13
Suppose -8 - 17 = 5*h. Let s(u) = -u**2 - 5*u. Let m be s(h). Let -3*t**3 - 21*t - 9 + m*t**2 - 6*t**2 - 12*t**2 + 3*t**2 = 0. Calculate t.
-3, -1
Let a be 4/10*-5 - (-18 + 0). Suppose 9*c = a*c - 21. Solve 2/7*t + 2/7 - 2/7*t**2 - 2/7*t**c = 0 for t.
-1, 1
Determine w so that 25 - 3*w**5 + 154*w**3 - 160*w**3 + 15*w**4 + 4 - 2 + 9*w - 42*w**2 = 0.
-1, 1, 3
Let r(m) be the first derivative of -16*m**6/27 + 272*m**5/45 + 1367*m**4/18 + 626*m**3/3 + 129*m**2 + 30*m - 440. What is o in r(o) = 0?
-3, -1/4, 15
Solve -77*o**3 + 30*o**2 + 12*o + 62*o**3 - 5 + o**5 - 19 + 2*o**5 - 6*o**4 = 0.
-2, -1, 1, 2
Let g = 27 + -20. Let o be g/(21/45) - 2. Suppose -4*n**4 - n**2 + o*n**2 + n**4 = 0. What is n?
-2, 0, 2
Suppose 218*r + 21 = 219*r - 3*t, -3*r - 2*t - 3 = 0. Factor -15/2*u + 9/2*u**2 + r.
3*(u - 1)*(3*u - 2)/2
Factor 0 - 2/3*z**2 + 34/3*z.
-2*z*(z - 17)/3
Let r(b) = 2*b**4 - 4*b**3 + 12*b**2 + 12*b - 12. Let l(j) = 2*j**4 - 3*j**3 + 12*j**2 + 14*j - 14. Let k(a) = 6*l(a) - 7*r(a). Suppose k(g) = 0. What is g?
0, 2, 3
Let i(o) be the third derivative of 0 + 1/21*o**4 + 0*o + 0*o**3 + 4/105*o**5 + 1/735*o**7 - 4*o**2 + 1/84*o**6. Solve i(g) = 0.
-2, -1, 0
Let o = -41 - -35. Let j = -3 - o. Suppose -1/2 - 9/2*m**2 + j*m = 0. Calculate m.
1/3
Let r = 30/637 - -577/1274. Let i = 9/32 - 1/32. Solve -r + i*p + 1/4*p**2 = 0 for p.
-2, 1
Let y be 28/40*(-17)/(-238). Let k(c) be the third derivative of 0*c - 1/8*c**4 - y*c**5 + 0 + c**2 + c**3. Factor k(j).
-3*(j - 1)*(j + 2)
Let g(b) be the first derivative of -7*b**5/10 + b**4/3 + 7*b**3/3 - 2*b**2 - 13*b - 6. Let z(f) be the first derivative of g(f). Solve z(o) = 0 for o.
-1, 2/7, 1
Let n(c) be the first derivative of -1/6*c**2 + 1/18*c**3 - 13 + 0*c. Factor n(q).
q*(q - 2)/6
Suppose 3*z - 20 - 19 = 0. Factor 4*c - 4*c**2 + 13 - z.
-4*c*(c - 1)
Suppose 2 = 5*y - 3. Let m be 1/(y/3) + 1. Factor -4*i**m - 6*i**3 + i**4 + 3*i**2 - 6*i**2.
-3*i**2*(i + 1)**2
Let r be 30/(-25)*(-20)/(-6). Let p(l) = l**3 + 5*l**2 + 4*l + 4. Let x be p(r). Factor -2*v**x - 12*v**2 - 2*v + 0*v + 14*v**2 + 2*v**3.
-2*v*(v - 1)**2*(v + 1)
Let j(b) be the second derivative of b**5/90 - 4*b**4/9 - 17*b**3/9 - 26*b**2/9 - b - 177. Let j(r) = 0. What is r?
-1, 26
Let u(j) be the first derivative of 0*j + 8*j**3 + 6*j**2 + 2 + 3/5*j**5 + 15/4*j**4. Factor u(v).
3*v*(v + 1)*(v + 2)**2
Let g(j) = 4*j**4 + 6*j**3 - j**2 + 16*j - 5. Let u(b) = 3*b**4 + 4*b**3 - b**2 + 14*b - 4. Let m(z) = -4*g(z) + 5*u(z). Suppose m(x) = 0. Calculate x.
-3, -2, 0, 1
Let u be ((-9)/((-1485)/22))/((-1)/(-1)). Let m(x) be the first derivative of 0*x**2 + 1/3*x**4 - u*x**5 + 0*x + 2 + 0*x**3. Let m(y) = 0. Calculate y.
0, 2
Solve -320/3*c**3 - 2048000/3*c + 40960000/3 + 1/3*c**4 + 12800*c**2 = 0.
80
Solve -92/5*r**2 - 68/5*r**4 - 12/5*r**5 - 24/5*r - 124/5*r**3 + 0 = 0 for r.
-3, -1, -2/3, 0
Let j(f) be the first derivative of -5*f**4/4 - 55*f**3 - 720*f**2 - 1280*f + 108. Solve j(a) = 0 for a.
-16, -1
Suppose 5*s + 19 = 2*m, -m - 4*s - 18 = -4*m. Let 14*r**4 - 24*r**4 + 8*r**m + 5*r**4 + 3*r**4 = 0. Calculate r.
-2, 0, 2
Let t(c) = 12*c**2 + 3*c + 3. Let q be t(-1). Let k be (-9)/(-1)*2/q + 0. Factor -1/2*r**3 + 5/2*r - 1 - k*r**2 + 1/2*r**4.
(r - 1)**3*(r + 2)/2
Let h be (-1 - -6)*(-8)/(-20). Find r, given that -r**3 - h*r**3 + 3*r**3 - 3*r**5 + 3*r**4 = 0.
0, 1
Suppose s - 14*x + 13*x + 5 = 0, 2*x - 10 = s. Let i(y) = y**2 + y + 1. Let a be i(0). Factor -a + 15*t**3 - 16*t**3 + s*t**2 + t**2 + t.
-(t - 1)**2*(t + 1)
Let j(i) be the third derivative of 0*i**3 + 0*i + 17*i**2 + 5/12*i**4 - 1/12*i**5 - 1/8*i**6 + 0. Factor j(d).
-5*d*(d + 1)*(3*d - 2)
Let u(j) be the first derivative of 16*j + 26 + j**4 + 16*j**2 + 20/3*j**3. Let u(l) = 0. What is l?
-2, -1
Let g be 32 + -22 - (2 - -1). Suppose g = 3*a - 2. Solve -13/6*z**2 + 9/2*z**a + 7/6*z**5 - 23/6*z**4 + 1/3*z + 0 = 0 for z.
0, 2/7, 1
Suppose 6*f - 3084 + 3072 = 0. Let j(d) be the second derivative of -1/24*d**4 + 1/6*d**3 + 0 - 1/4*d**f + 4*d. Solve j(l