**4 - 2/11*r**2 - 4/11*r + 4/11*r**3 + 0.
2*r*(r - 1)*(r + 1)*(r + 2)/11
Let 27848/5 + 472/5*o + 2/5*o**2 = 0. Calculate o.
-118
Let i(k) be the first derivative of k**4/10 + 2*k**3/3 + 7*k**2/5 + 6*k/5 - 92. Factor i(r).
2*(r + 1)**2*(r + 3)/5
Let 2/9*j**4 - 8/3*j**3 + 68/9*j**2 - 70/9 + 8/3*j = 0. Calculate j.
-1, 1, 5, 7
Factor 17*d + 8605 + 9*d**3 - 52*d + 48*d**2 - 8599.
(d + 6)*(3*d - 1)**2
Let t(j) be the first derivative of j**3/9 + j**2 - 40*j/3 + 255. Solve t(c) = 0 for c.
-10, 4
Let k(v) be the third derivative of -4*v**5/3 - 35*v**4/2 - 735*v**3/8 + 6*v**2 - v. Factor k(j).
-5*(8*j + 21)**2/4
Let c(w) be the second derivative of -w**6/1980 + w**4/33 - 25*w**3/6 + 15*w. Let p(k) be the second derivative of c(k). Suppose p(n) = 0. Calculate n.
-2, 2
Let y = -8698/5 + 1740. Factor -6/5*r + 0*r**2 + 8/5*r**3 - y.
2*(r - 1)*(2*r + 1)**2/5
Let m(n) = -2*n**2 - 2*n - 6. Let q be m(-4). Let p be q/(-12)*(-8)/(-5). Suppose p*a**2 - 1 + a**5 + a**4 - 3*a**4 - 4 + 3 + a - 2*a**3 = 0. What is a?
-1, 1, 2
Factor -o**2 + 1 + 73*o**2 + 1228*o - 1273*o + 48*o**3 + 5.
3*(o + 2)*(4*o - 1)**2
Let r be (3/(-20))/(5/(-25)*3). Solve 0 - o - r*o**4 + o**2 + 1/4*o**3 = 0.
-2, 0, 1, 2
Let u = -713 + 1429/2. Let k(x) be the first derivative of 0*x - 3 - u*x**2 - x**3. Find m such that k(m) = 0.
-1, 0
Let z = 6569 - 6564. Factor 14/3*d**3 + 34/9*d**4 + 10/9*d**z + 4/9*d + 0 + 22/9*d**2.
2*d*(d + 1)**3*(5*d + 2)/9
Let d be ((-9)/(-12) + -1)/(14/2000). Let r = -3722/105 - d. Find c such that -r + 2/15*c - 2/15*c**3 + 4/15*c**2 = 0.
-1, 1, 2
Let o(p) be the second derivative of p**6/60 - p**5/10 + p**4/8 + p**3/3 - p**2 + 2*p - 99. Factor o(g).
(g - 2)**2*(g - 1)*(g + 1)/2
Let w(x) be the first derivative of -125*x**4/2 - 50*x**3 - 15*x**2 - 2*x + 88. Find b, given that w(b) = 0.
-1/5
Let j = -161 - -164. Let f(p) be the first derivative of -2/3*p**j + 1/5*p**5 + 2 + 1/2*p**4 - 1/6*p**6 - 1/2*p**2 + p. Factor f(a).
-(a - 1)**3*(a + 1)**2
Let x be 18/3 - (4 - (-4 - -5)). Factor 120*y**x + 6 + 105*y + 30 + 184*y**2 + 4*y**5 + 79*y + 36*y**4 - 52*y.
4*(y + 1)**3*(y + 3)**2
Let j(b) be the third derivative of b**8/336 + b**7/42 + 3*b**6/40 + 7*b**5/60 + b**4/12 + 2*b**2 + 58*b. Let j(f) = 0. Calculate f.
-2, -1, 0
Let v(c) be the first derivative of -19/11*c**2 - 46 - 2/55*c**5 - 9/22*c**4 - 12/11*c - 14/11*c**3. Factor v(a).
-2*(a + 1)**3*(a + 6)/11
Let p(l) be the second derivative of l**5/4 + 5*l**4/3 - 25*l**3/6 - 154*l. Suppose p(y) = 0. Calculate y.
-5, 0, 1
Let g = 3229 + -3224. Let z(i) be the first derivative of -3/2*i**4 + 8 - 2*i**3 + 1/2*i**6 + 3/5*i**g + 3*i + 3/2*i**2. Let z(c) = 0. Calculate c.
-1, 1
Let l(i) be the second derivative of 3*i**6/10 - 3*i**5/4 - 3*i**4/4 + 9*i**3/2 - 6*i**2 + 556*i. Determine t, given that l(t) = 0.
-4/3, 1
Let b = 1838/3 - 612. Let n(k) be the first derivative of 2 + 2*k**4 + b*k**3 - 2*k - 4*k**2. Suppose n(h) = 0. What is h?
-1, -1/4, 1
Let w(g) = -g. Let t be w(-3). Suppose -2*c - 14 = -t*y, 6*y - 26 = 3*y + 5*c. Let 45/2*j**y + 14*j + 2 - 49/2*j**4 - 14*j**3 = 0. What is j?
-1, -2/7, 1
Let r(d) = 117*d**2 - 358*d - 407. Let o(c) = -41*c**2 + 119*c + 136. Let w(s) = 17*o(s) + 6*r(s). Factor w(h).
5*(h - 26)*(h + 1)
Let n = -26 - -18. Let z be -4 - (n + 3 + -2). Factor -z*x - 4*x**2 - 3*x + 9 - 2*x + 3.
-4*(x - 1)*(x + 3)
Let -10/9*f**4 + 0 - 2/9*f**5 - 4/3*f**3 + 0*f**2 + 0*f = 0. Calculate f.
-3, -2, 0
Let c(f) be the first derivative of 1 - 2/7*f**2 + 1/14*f**4 + 0*f + 2/21*f**3. Determine h so that c(h) = 0.
-2, 0, 1
Let f(i) = -4*i - 237. Let w be f(-60). Let -1/4*x**w + 1/4*x + 1/2 + 1/4*x**4 - 3/4*x**2 = 0. Calculate x.
-1, 1, 2
Let x = 150 + -150. Let y be 1 + 0 + (-10)/10. Let i**4 + y + x*i**3 - i**2 - 1/2*i**5 + 1/2*i = 0. Calculate i.
-1, 0, 1
Let t(u) be the second derivative of -7*u**5/200 + 89*u**4/15 - 6001*u**3/20 - 2601*u**2/10 + 487*u + 2. Suppose t(v) = 0. Calculate v.
-2/7, 51
Let y = 1514 - 1512. Factor -2/7*g**4 + 0 - 6/7*g**3 + 0*g + 8/7*g**y.
-2*g**2*(g - 1)*(g + 4)/7
Factor -28672 - 17200/7*h**2 - 1/7*h**5 - 13568*h - 1489/7*h**3 - 62/7*h**4.
-(h + 7)**2*(h + 16)**3/7
Let f(o) be the second derivative of 1/6*o**4 + 1/10*o**5 - 2*o + 0*o**2 + 0 - 2/3*o**3. Suppose f(l) = 0. Calculate l.
-2, 0, 1
Let s = 3922/21437 + 66/1261. Determine k so that -14/17*k + 14/17*k**3 + 4/17 - s*k**2 = 0.
-1, 2/7, 1
Determine u so that 54*u + 1651*u**2 + 2*u**3 - 1708*u**2 + u**3 = 0.
0, 1, 18
Let w(j) be the first derivative of -j**2 + 5 + 0*j**3 - 1/120*j**5 - 1/48*j**4 + 0*j. Let x(b) be the second derivative of w(b). Factor x(r).
-r*(r + 1)/2
Let x(w) be the first derivative of 121*w**5/20 - 275*w**4/4 + 757*w**3/3 - 300*w**2 + 144*w + 221. Suppose x(g) = 0. Calculate g.
6/11, 4
Let a = -4739/2 - -2069. Let r = 10229/34 + a. Let -r*b**3 - 2/17*b**2 - 2/17*b**4 + 4/17 + 6/17*b = 0. Calculate b.
-2, -1, 1
Let i(l) be the second derivative of l**9/3780 - l**8/420 + l**7/126 - l**6/90 + 2*l**4 + 15*l. Let d(c) be the third derivative of i(c). Factor d(y).
4*y*(y - 2)*(y - 1)**2
Let y be (-84)/56*1/((-431)/2). Let o = y + 2553/4741. Factor o*c**2 - 4/11*c**3 - 2/11*c**4 + 0*c + 0.
-2*c**2*(c - 1)*(c + 3)/11
Suppose -38*g + 179 + 49 = 0. Let q(n) be the second derivative of n**4 - 2*n**2 - 7/10*n**5 + 0 + 1/3*n**3 + 2/15*n**g - 4*n. Factor q(h).
2*(h - 2)*(h - 1)**2*(2*h + 1)
Let r(b) = 23*b**2 + 130*b + 35. Let t(u) = 11*u**2 + 64*u + 17. Let l(j) = -3*r(j) + 7*t(j). Factor l(h).
2*(h + 7)*(4*h + 1)
Let c(h) be the second derivative of 1/3*h**4 + 0 - 10/3*h**3 + 12*h + 0*h**2. Factor c(k).
4*k*(k - 5)
Let t = -38 - -42. Factor 6*l - 265*l**t + 286*l**4 - 10*l**2 - 11*l**2 - 6*l**3.
3*l*(l - 1)*(l + 1)*(7*l - 2)
Let r be 8/(-6) + 185/15. Suppose 7*u = r*u - 44. Factor -2*s**5 - 3*s**4 + 3*s**5 + 3*s**3 + 10*s**2 - u*s**2.
s**2*(s - 1)**3
Let a = 6/1517 - -7567/4551. Find l, given that -a*l**3 + 10/3*l**2 + 5/3*l - 10/3 = 0.
-1, 1, 2
Suppose -11*b**4 + 101*b**2 - 285*b - 17*b**4 + 33*b**4 - 295*b**3 + 474*b**2 = 0. What is b?
0, 1, 57
Let v(l) be the third derivative of 1/70*l**7 - 13*l**2 + 0 + 1/112*l**8 - 3/40*l**6 + 0*l - 1/20*l**5 + 1/4*l**4 + 0*l**3. Find i such that v(i) = 0.
-2, -1, 0, 1
Let s(n) = -n**2 + 2*n + 13. Let l be s(0). Let x = -9 + l. Factor 3*k + 0*k**3 - 3*k**2 - 3*k**3 + 2*k**2 + x*k**2 - 3.
-3*(k - 1)**2*(k + 1)
Let y(c) be the first derivative of -19 - 3/4*c**4 - 6*c**2 + 4*c**3 + 0*c. Find d, given that y(d) = 0.
0, 2
Suppose 5*p - 2 = 48. Let -p - 14 + 9*g + 30 + 3*g**2 = 0. What is g?
-2, -1
Suppose 3 = k - 2. Suppose -h - 9 = -k*o, 0 = -3*o + 2*h + 4 - 0. Solve 3/2*v**o + 1/2*v**3 - 2 + 0*v = 0.
-2, 1
Let u(d) be the second derivative of 0*d**2 + 41*d - 1/195*d**6 + 3/130*d**5 + 0*d**4 + 0 - 4/39*d**3. Suppose u(y) = 0. What is y?
-1, 0, 2
Suppose 0 = 3*m - 5*a + 9*a + 4, 0 = 2*m - 3*a - 20. Factor -2*k + 18*k - 4*k**m - 58 + 12*k**2 + 42 - 8*k**3.
-4*(k - 1)**2*(k + 2)**2
Let t(q) be the second derivative of -q**5/60 - q**4/24 - q**2 + 46*q. Let s(u) be the first derivative of t(u). Factor s(f).
-f*(f + 1)
Let j be 2/(-8) + 1/((-8)/(-138)). What is c in 115*c - 43*c**2 + 170*c**2 + 30 - j*c**2 + 25*c**3 = 0?
-3, -1, -2/5
Let k(u) be the first derivative of 2*u**3/3 - 19*u**2 - 40*u + 236. Factor k(o).
2*(o - 20)*(o + 1)
Let r(o) be the second derivative of 15/2*o**2 + 0 + 5/12*o**4 - 17*o - 10/3*o**3. Factor r(a).
5*(a - 3)*(a - 1)
Let m(w) = -26*w + 56. Let c be m(2). Let g(u) be the first derivative of 0*u**c + 0*u**3 + 0*u**5 + 0*u + 0*u**2 + 2 + 1/60*u**6. Factor g(j).
j**5/10
Let h(v) = -5 - 3 - 4*v + 2*v + 3*v. Let d be h(8). Factor -3*a**2 + a**2 + 0*a**2 + d*a - a**3 - a.
-a*(a + 1)**2
Let a(t) be the third derivative of -t**6/60 + 2*t**5/15 + 18*t**2. Determine z so that a(z) = 0.
0, 4
Let q = 3698 - 3694. Factor 1/2*i**2 + 0 + 7/4*i**3 + i**q - 1/4*i.
i*(i + 1)**2*(4*i - 1)/4
Let w(b) = -15*b**3 - 715*b**2 + 900*b + 1460. Let m(l) = l**3 + 42*l**2 - 53*l - 86. Let y(f) = 35*m(f) + 2*w(f). Factor y(u).
5*(u - 2)*(u + 1)*(u + 9)
Let d = 36 + -57. Let g be (-3)/(-4) + d/28. Find c such that -c**4 + 3*c**2 - 6*c**3 - 10*c**4 + 2*c**4 + g*c**3 = 0.
-1, 0, 1/3
Let f = -8303 - -8312. Determine y so that f*y + 3/4*y**2 + 27 = 0.
-6
Let y(w) be the second derivative of -w**6/198