+ 2/5*j**4 = 0. Calculate j.
-1, 0, 1
Let g be (-9)/(-27)*1/(12/9). Let i(n) be the first derivative of 1/5*n**5 + 0*n + g*n**4 + 0*n**2 + 4 + 0*n**3. Factor i(l).
l**3*(l + 1)
Let f = -1/14904 + 99361/14904. Factor 2/3*q**2 - f*q + 6.
2*(q - 9)*(q - 1)/3
Let i(x) be the second derivative of -x**7/630 - x**6/180 + x**5/15 + 7*x**4/4 - 23*x. Let q(c) be the third derivative of i(c). Factor q(v).
-4*(v - 1)*(v + 2)
Let j(h) be the first derivative of 0*h - 44 - 2/65*h**5 - 1/13*h**2 + 2/39*h**3 + 1/26*h**4. Find g, given that j(g) = 0.
-1, 0, 1
Factor 53*w**2 - 11*w - 102*w**3 + 1 + 2*w - 19*w + 76*w**3.
-(w - 1)**2*(26*w - 1)
Let m(y) = y**2 - y - 38. Let v be m(7). Let z(d) be the first derivative of 4*d**2 - 5/3*d**3 + 1/4*d**v - 3 - 4*d. Factor z(o).
(o - 2)**2*(o - 1)
Let r(s) be the first derivative of -6*s**5/5 + s**4/7 + 11. Factor r(y).
-2*y**3*(21*y - 2)/7
Suppose 18/13*s**4 - 32/13*s**2 - 22/13*s**3 + 8/13*s + 0 = 0. Calculate s.
-1, 0, 2/9, 2
Let v(d) be the first derivative of -d**4/12 - 43*d**3/9 - 41*d**2/3 - 694. Let v(m) = 0. Calculate m.
-41, -2, 0
Let d(k) be the second derivative of 0*k**3 + 0 - 2/35*k**5 + 0*k**2 - 2*k - 1/42*k**4. Factor d(r).
-2*r**2*(4*r + 1)/7
Let h(j) = 3*j**3 - 78*j**2 - 60*j + 7. Let q(n) = n**3 - 41*n**2 - 30*n + 4. Let z(f) = -4*h(f) + 7*q(f). Suppose z(p) = 0. What is p?
-1, 0, 6
Let k(g) = -g**2 + 10*g + 2. Let o = -38 - -48. Let h be k(o). Factor 2/3*j + 0 - 2/3*j**h.
-2*j*(j - 1)/3
Factor -13/4*x**2 - 1/4*x**4 - 3/2*x**3 - 3*x - 1.
-(x + 1)**2*(x + 2)**2/4
Let q be ((-3)/(-12))/(2 + (-253)/132). What is s in 48/5*s**q - 18/5*s**4 + 6/5 - 32/5*s + 28/5*s**2 = 0?
-1, 1/3, 3
Let l(h) = -h**2 + 11*h - 18. Let w be l(5). Let o = -8 + w. Let 0*s**2 - 3/5*s**5 + 0*s**3 + 0*s + 0 - 3/5*s**o = 0. Calculate s.
-1, 0
Let l(v) be the second derivative of -5/78*v**4 + 0 + 0*v**2 - 1/130*v**5 - 27*v - 4/39*v**3. Factor l(y).
-2*y*(y + 1)*(y + 4)/13
Let d = -3800 - -3803. Factor 1/5 + 1/5*v**4 - 1/5*v + 2/5*v**d - 2/5*v**2 - 1/5*v**5.
-(v - 1)**3*(v + 1)**2/5
Let w(j) = 4*j + 27. Let p be w(-8). Let r be -2*(5/20)/(p/30). Factor -20/3*l + 2/3 + 40*l**r + 24*l**4 + 26/3*l**2.
2*(l + 1)**2*(6*l - 1)**2/3
Let v(y) = y**3 - 3*y**2 - 3*y - 2. Let j be v(4). Let s = -542 + 545. What is d in 0*d + 3/2*d**4 + 3*d**j + 0 - 9/2*d**s = 0?
0, 1, 2
Let h(d) be the second derivative of -2*d**7/105 + 3*d**6/25 - 7*d**5/25 + 3*d**4/10 - 2*d**3/15 + 298*d. Let h(g) = 0. What is g?
0, 1/2, 1, 2
Let l = 69 - 45. Suppose 4*m + q - l = 0, 2*m - 5*q = -0*m + 34. Factor -7*n - 3 - 7*n + 5*n**3 - n - m.
5*(n - 2)*(n + 1)**2
Suppose 51 = -9*h - 21. Let c be (3 - (-10)/h) + 0. Find w, given that -1/2*w + c*w**3 + 9/4*w**2 + 0 + 10*w**5 - 27/2*w**4 = 0.
-2/5, 0, 1/4, 1/2, 1
Let c(m) be the first derivative of -5*m**6/6 - 10*m**5 - 105*m**4/4 + 340*m**3/3 + 680*m**2 + 960*m + 245. Factor c(k).
-5*(k - 3)*(k + 1)*(k + 4)**3
Let v(q) = -q**2 + 13*q + 20. Let n be v(16). Let j = n - -30. Let -2*f**3 - 12*f**j - 2*f**3 + 3*f - 11*f = 0. Calculate f.
-2, -1, 0
Let n(m) = -12*m**2 - 2*m + 10. Suppose 2*g + 11 - 13 = 0. Let d(b) = -b**2 + 1. Let l(q) = g*n(q) - 10*d(q). Factor l(o).
-2*o*(o + 1)
Let r(o) = o**3 + 7*o**2 + 29*o + 17. Let d(m) = -2*m**3 - 15*m**2 - 58*m - 35. Let v(q) = 3*d(q) + 5*r(q). Determine i so that v(i) = 0.
-5, -4, -1
Let m(i) = -320*i - 320. Let o be m(-1). Suppose -1/2*q**3 + o*q**4 + 0 + 0*q**2 + 1/4*q + 1/4*q**5 = 0. Calculate q.
-1, 0, 1
Determine g so that -g**2 - 205/7*g - 58/7 = 0.
-29, -2/7
Factor 6*m**3 + 51*m**2 + 30 - 447*m + 99 + 81.
3*(m - 5)*(m + 14)*(2*m - 1)
Solve -14/3*m**3 + 10/9*m**4 + 46/9*m**2 + 0 - 16/9*m + 2/9*m**5 = 0.
-8, 0, 1
Let w(s) be the second derivative of -19*s**5/90 - 2*s**4/3 - 5*s**3/9 + 2*s**2/9 - 138*s + 2. Factor w(x).
-2*(x + 1)**2*(19*x - 2)/9
Let k(m) = 2*m - 5*m + 5*m**2 + 7*m. Let t(f) = -f**2 - f. Let i(w) = 2*k(w) + 11*t(w). Factor i(n).
-n*(n + 3)
Let n(p) be the second derivative of p**4/6 + p**3 + 4*p + 11. Solve n(f) = 0 for f.
-3, 0
Let g(n) be the second derivative of -17*n - 1/16*n**5 + 3/16*n**4 + 1/120*n**6 - 7/24*n**3 + 0 + 1/4*n**2. Solve g(b) = 0.
1, 2
Let u(a) be the third derivative of -a**7/70 + 3*a**6/40 + 3*a**5/10 - a**4 + 30*a**2. Solve u(l) = 0.
-2, 0, 1, 4
Let v = -42 + 60. Suppose -i + k + 5 = 0, 0 = -5*i - 4*k - v - 2. Solve 2/11*m**3 + i + 0*m + 2/11*m**2 = 0 for m.
-1, 0
Let q(f) = f**2 + 17*f + 15. Let u be q(-6). Let j = u + 53. Solve -1/4*i**j - 1/2*i + 0 = 0.
-2, 0
Let k(d) be the second derivative of 3*d**5/160 + d**4/4 + 9*d**3/16 - 27*d**2/8 - 7*d + 8. Find q, given that k(q) = 0.
-6, -3, 1
Let v(m) be the first derivative of 7*m**6/240 - m**5/60 - 7*m**4/48 + m**3/6 - m**2/2 - 13. Let o(p) be the second derivative of v(p). Solve o(d) = 0.
-1, 2/7, 1
Let k(g) = 56*g**4 - 20*g**3. Let d(z) = -2*z**4. Let h(q) = 18*d(q) + 2*k(q). Factor h(a).
4*a**3*(19*a - 10)
Factor -325*s**2 - 98 + 21*s**3 + 88*s**2 - 133 + 444*s + 123.
3*(s - 9)*(s - 2)*(7*s - 2)
Let r(b) be the second derivative of b**4/42 - 22*b**3/7 + 1089*b**2/7 + 75*b. Factor r(w).
2*(w - 33)**2/7
Let r = 988 - 8890/9. Find s such that 4/9 + 2/9*s**3 - r*s - 4/9*s**2 = 0.
-1, 1, 2
Let m(y) be the first derivative of 5*y**6/18 + 23*y**5/15 + 25*y**4/12 + y**3/9 - y**2 + 431. Let m(d) = 0. What is d?
-3, -1, 0, 2/5
Suppose -175 = -82*x + 73 + 80. Let -8/5*q + 2/5*q**x + 2/5*q**3 - 8/5*q**2 + 0 = 0. What is q?
-2, -1, 0, 2
Let c(y) = y**3 + 2*y**2 - 3. Let a be c(-5). Let f = -76 - a. Factor 0*q**f + 0*q - 1/6*q**3 + 0.
-q**3/6
Let s(i) be the first derivative of -i**3/3 + 5*i**2 + 27*i - 7. Let v be s(12). Let -1/3*g**5 + 2/3*g**v + 0*g**4 + 0*g**2 - 1/3*g + 0 = 0. Calculate g.
-1, 0, 1
Let u(q) be the third derivative of -q**6/180 - q**5/18 + q**4/6 - 96*q**2. Solve u(s) = 0 for s.
-6, 0, 1
Let v(s) be the second derivative of s**5/110 - 3*s**3/11 - 214*s. Factor v(t).
2*t*(t - 3)*(t + 3)/11
Let p(g) be the third derivative of 0*g + 1/27*g**4 + 1/270*g**5 + 0*g**3 + 0 + 13*g**2. Factor p(z).
2*z*(z + 4)/9
Suppose 55 = -4*w + 5*w. Let -2*r**3 + 27*r**2 + 32*r**2 - w*r**2 - 2*r = 0. What is r?
0, 1
Let s(p) be the first derivative of p**6/60 - p**4/12 - 2*p**2 + 12. Let i(y) be the second derivative of s(y). Factor i(f).
2*f*(f - 1)*(f + 1)
Suppose 5 = o - 9. Let l(b) = b**3 - 13*b**2 - 13*b - 12. Let m be l(o). Determine v, given that 0*v**m + 3/5*v + 2/5 - 1/5*v**3 = 0.
-1, 2
Suppose -8*k**2 + 48*k - 96 + 4/9*k**3 = 0. What is k?
6
Let l(v) = -6*v**4 + 32*v**3 - 11*v**2 + 3. Let n(i) = -18*i**4 + 98*i**3 - 34*i**2 + 10. Let j(h) = -20*l(h) + 6*n(h). Determine p so that j(p) = 0.
0, 1/3, 4
Let h(l) be the third derivative of l**6/160 + 7*l**5/40 - l**4/32 - 7*l**3/4 + 79*l**2. Factor h(s).
3*(s - 1)*(s + 1)*(s + 14)/4
Let r(t) be the third derivative of -t**7/21420 - t**6/1020 - 3*t**5/340 - 7*t**4/24 + 6*t**2. Let a(b) be the second derivative of r(b). Factor a(o).
-2*(o + 3)**2/17
Determine n so that -676 - 1/8*n**3 + 51/4*n**2 - 312*n = 0.
-2, 52
Let t(y) = y**3 - 7*y**2 + 8*y + 12. Let c = -88 + 93. Let f be t(c). Factor 6/7*w**f + 0 - 3/7*w**3 - 3/7*w.
-3*w*(w - 1)**2/7
Factor 10 - 2 + 3176*h**2 - 3116*h**2 + 52*h.
4*(3*h + 2)*(5*h + 1)
Let u(s) be the second derivative of s**4/3 + 26*s**3/3 - 28*s**2 - 2*s - 18. Factor u(z).
4*(z - 1)*(z + 14)
Suppose -5*c - 5*t = 30, 24*t - 22*t = -5*c - 12. Factor -2/9*f**3 - 2/9*f**4 + 0 + 4/9*f**2 + c*f.
-2*f**2*(f - 1)*(f + 2)/9
Let r(y) be the first derivative of 2*y**3/11 - 74*y**2/11 - 50*y/11 - 170. Factor r(l).
2*(l - 25)*(3*l + 1)/11
Let w(s) be the first derivative of 3*s - 3/4*s**2 - 1/2*s**3 - 21. Solve w(u) = 0.
-2, 1
Let j be (-1 + 1)/(46 - 45). Solve j - 1/9*a**2 - 5/9*a = 0 for a.
-5, 0
Let h(w) = 18*w**5 - 6*w**4 - 18*w**3 - 33*w**2 - 36*w - 27. Let p(l) = l**5 - l**4 - l**3 - 1. Suppose -3*t + 4 = t. Let u(x) = t*h(x) - 15*p(x). Factor u(v).
3*(v - 2)*(v + 1)**3*(v + 2)
Suppose 9*q - 18 = -4*v, 2*v - q + 5*q = 8. Suppose -185/4*o**2 + 265/4*o**4 + 95/2*o**3 + 15*o**5 + v + 15/2*o = 0. Calculate o.
-3, -2, 0, 1/4, 1/3
Factor -3/2 - 2*g**3 + g**2 + 2*g + 1/2*g**4.
(g - 3)*(g - 1)**2*(g + 1)/2
Let r be (-5)/(5/(-9)) - 6. Factor 0 - 1/9*n**2 + 0*n**r + 0*n + 1/9*n**4.
n**2*(n - 1)*(n + 1)/9
Let q be 2 + -8 + (-1 - -1). Let o(t) 