2)/3
Let i = 48917/9 - 5435. Let -8/9*b - i*b**2 - 2/3 = 0. Calculate b.
-3, -1
Let a be (-11)/(5 - 504/100). Let n be 265/a - (-6)/(-10). Find c, given that -14/11*c**3 - 2*c - 32/11*c**2 - n = 0.
-1, -2/7
Let t(v) = -v**4 + 40*v**3 - 183*v**2 + 250*v - 106. Let f(z) = 39*z**3 - 183*z**2 + 249*z - 105. Let h(g) = 2*f(g) - 3*t(g). Factor h(u).
3*(u - 6)**2*(u - 1)**2
Let v(i) = 14*i + 93. Let z be v(-6). Solve z - 40*f**2 + 2*f**2 + 5*f**3 + 64*f + 23 = 0.
-2/5, 4
Let r be (-5)/(-35) + 5/(-35). Let o(i) be the second derivative of r + 4*i + 1/2*i**3 + 1/20*i**5 + 1/2*i**2 + 1/4*i**4. Factor o(n).
(n + 1)**3
Let i(k) be the first derivative of -k**7/35 + k**6/3 - 59*k**5/45 + 5*k**4/3 - k**3 - k**2 + 2. Let q(x) be the second derivative of i(x). Factor q(u).
-2*(u - 3)**2*(3*u - 1)**2/3
Let g be (-3 + 0)*(-40)/(-200)*-5. Suppose 4/5*p**2 + 2/5*p**g - 4/5 - 2/5*p = 0. Calculate p.
-2, -1, 1
Let i = -2501 - -2501. Let a(t) be the third derivative of 0*t - 2/315*t**7 + 0 + 0*t**5 + 0*t**3 + i*t**4 - 1/360*t**6 - t**2. Factor a(d).
-d**3*(4*d + 1)/3
Suppose -7 = -x + 2. Let s = 12 - x. Determine b, given that b**3 - s*b - b + 3*b = 0.
-1, 0, 1
Determine p, given that -p**2 + 0 - 3*p + 1/4*p**3 = 0.
-2, 0, 6
Let g(m) be the third derivative of m**3 + 6*m**2 + 1/4*m**4 + 0*m + 0 + 1/40*m**5. Let g(j) = 0. Calculate j.
-2
Let d(r) be the third derivative of r**6/240 + r**5/20 - 5*r**4/16 - 19*r**3/6 - 13*r**2. Let v(w) be the first derivative of d(w). Factor v(q).
3*(q - 1)*(q + 5)/2
Let x(d) be the third derivative of -1/12*d**4 + 0 + 0*d + 0*d**3 + 1/30*d**5 - 4*d**2. Factor x(s).
2*s*(s - 1)
Suppose -5*m - 3 = s - 5, 2*s + 5*m = 4. Let k(y) = -5*y**3 + 2*y + 2. Let u(w) = 16*w**3 - 7*w - 7. Let p(n) = s*u(n) + 7*k(n). Factor p(x).
-3*x**3
Let 15 - 1/4*p - 1/8*p**2 = 0. What is p?
-12, 10
Factor -46 + 35 - 34*c - 93 + 94*c - 32 + 4*c**2.
4*(c - 2)*(c + 17)
Let w(l) be the second derivative of l**9/35280 - l**8/15680 - l**7/5880 + l**6/1680 - l**4/4 - 11*l. Let k(d) be the third derivative of w(d). Factor k(n).
3*n*(n - 1)**2*(n + 1)/7
Let w(c) be the first derivative of 4*c**5/5 + 7*c**4 + 20*c**3 + 18*c**2 + 50. Factor w(g).
4*g*(g + 1)*(g + 3)**2
Solve 0 + 3/8*h**2 + 3/8*h**3 + 0*h = 0.
-1, 0
Suppose 8 = y - 0*c + 3*c, -2*c + 4 = 0. Suppose 4*x**4 + 8*x - 4*x**2 - 5 + 3 - 8*x**3 + y = 0. Calculate x.
-1, 0, 1, 2
Let o(t) = -31*t**2 + 1. Let d be o(-1). Let v(y) = -65*y**2 - 55*y + 10. Let z(p) = -p**2 - p. Let s(u) = d*z(u) + v(u). Factor s(k).
-5*(k + 1)*(7*k - 2)
Let p(v) = -v**3 + 5*v**2 - v + 7. Let l be p(5). Let x(g) = -3*g + 51. Let r be x(16). Suppose -m**4 + 6*m**3 - r*m**l - m**4 - m**4 = 0. Calculate m.
0, 1
Let w(l) be the third derivative of -l**5/300 - l**4/40 + l**3/3 - 71*l**2. Factor w(i).
-(i - 2)*(i + 5)/5
Let z = 107 - 83. Let c be z/(-144)*(0 - 2). Solve -c*n**2 + 1/3*n + 2/3 = 0 for n.
-1, 2
Let o(g) = 23*g**4 - 3*g**3 - 16*g**2 + 29*g + 36. Let r(f) = 8*f**4 - f**3 - 5*f**2 + 10*f + 12. Let d(k) = -6*o(k) + 17*r(k). Suppose d(m) = 0. Calculate m.
-2, -1, 3/2, 2
Let t(m) = 14*m + 1. Let s be t(14). Let r = 797/4 - s. Factor -3/4*b**2 + 3/2*b + r.
-3*(b - 3)*(b + 1)/4
Let j(f) = f**2 + 7*f - 2. Let d be j(-6). Let m = d + 42/5. Solve 6/5*y - m*y**2 - 4/5 = 0.
1, 2
Let x(q) be the second derivative of 4/9*q**2 - 26*q + 2/9*q**3 + 0 - 49/270*q**6 - 49/60*q**5 - 47/54*q**4. Determine c so that x(c) = 0.
-2, -1, -2/7, 2/7
Find i, given that -2/13*i**3 + 10/13*i - 8/13*i**5 + 22/13*i**4 - 2*i**2 + 4/13 = 0.
-1, -1/4, 1, 2
Let z be ((-12)/(-7))/(9/7 - 1). Let w(y) = -y**2 + 8*y - 10. Let n be w(z). Let 4/3 + 8/3*c**n + 2/3*c**3 + 10/3*c = 0. Calculate c.
-2, -1
Suppose 145*p**2 + 12*p + 35*p + 5*p**3 + 223*p = 0. What is p?
-27, -2, 0
Let i(t) be the second derivative of -t**4/12 + t**3/2 + 2*t**2 - 10*t + 3. Factor i(y).
-(y - 4)*(y + 1)
Let z(d) be the second derivative of 2*d**7/21 - 19*d**6/90 - 4*d**5/5 - 11*d**4/36 + d**3/3 + 3*d + 5. Find h such that z(h) = 0.
-1, -2/3, 0, 1/4, 3
Let b be ((-39)/104)/(135/(-6)). Let y(o) be the third derivative of 0 - 4*o**2 + b*o**4 + 0*o**3 + 0*o + 1/75*o**5. Factor y(i).
2*i*(2*i + 1)/5
Let l = 49/86 + -3/43. Factor 1/2*o**5 + 0*o + 0*o**2 + 0 + o**4 + l*o**3.
o**3*(o + 1)**2/2
Factor 54*j**2 - 8*j**2 - 12*j**2 - 36*j**2 - 68*j.
-2*j*(j + 34)
Let r = -613/56 - -95/7. Factor 3*d - 3/8*d**2 - r.
-3*(d - 7)*(d - 1)/8
Let m(t) be the third derivative of -t**7/630 - t**6/180 + t**4/36 + t**3/18 - 7*t**2 - t. Let m(b) = 0. Calculate b.
-1, 1
Let o(d) be the second derivative of -21*d + 0 + 4/7*d**2 + 4/21*d**3 + 1/42*d**4. Factor o(c).
2*(c + 2)**2/7
Factor -2/11*n**4 - 18/11*n**3 + 0 - 8/11*n + 2/11*n**5 - 2*n**2.
2*n*(n - 4)*(n + 1)**3/11
Let a(v) = -v + 14. Let y be a(10). Factor -4 + y*w**4 - 6*w**5 + 0*w**4 + 8*w**5 - 14*w - 4*w**3 - 16*w**2.
2*(w - 2)*(w + 1)**4
Suppose 241*n - 60 = 211*n. Suppose -n*q**3 - 2*q**2 - 2/3*q**4 - 2/3*q + 0 = 0. What is q?
-1, 0
Let o(p) be the third derivative of p**7/560 + p**6/60 + 25*p**3/6 + 41*p**2. Let v(w) be the first derivative of o(w). Suppose v(t) = 0. Calculate t.
-4, 0
Let z(o) be the first derivative of o**6/540 + o**5/135 - o**4/27 - 8*o**3/27 - 22*o**2 - 33. Let q(i) be the second derivative of z(i). Factor q(n).
2*(n - 2)*(n + 2)**2/9
Let g = -18 - -53. Let a = -28 + g. Factor 6*l**4 - 141*l**4 + 82*l + 90*l**3 - a*l + 9 + 27*l**5 + 190*l**2.
(l - 3)**2*(3*l + 1)**3
Let m = -36 - -26. Let n be m/(-3) - 52/39. Let -3*w**4 - 3 - 6*w**3 + 3*w**5 + w**2 + 3*w - n*w**2 + 0*w**2 + 7*w**2 = 0. What is w?
-1, 1
Suppose 44/3*w**2 + 32/3 + 0*w**3 - 4/3*w**4 - 24*w = 0. Calculate w.
-4, 1, 2
Let u(o) be the first derivative of o**4 - 20*o**3/3 - 12*o**2 - 88. Factor u(h).
4*h*(h - 6)*(h + 1)
Let w be 1*-3 + (1 - -3) + 1. Determine m, given that 24*m**3 - 8*m + 0*m**w + 0*m**2 - 18*m**3 - 2*m**4 = 0.
-1, 0, 2
Let v = -177 - -888/5. Let m(q) = 109*q + 2727. Let z be m(-25). Suppose -12/5 - v*k**z - 12/5*k = 0. What is k?
-2
Let s(n) = n**2 - 8*n - 7. Let f be s(9). Suppose -2*b = -0*b + 4*t + 10, -2*t = 2*b + f. Factor -2*z + 10*z**3 + 5*z**2 - 3*z + b*z - 3*z**3.
z*(z + 1)*(7*z - 2)
Determine f, given that 2/5*f**3 + 0 - 2*f + 8/5*f**2 = 0.
-5, 0, 1
Let l(f) = -4*f**2 + 10*f - 20. Let v(o) = -9*o**2 + 19*o - 41. Suppose 0 = -3*i - 8*i - 22. Let c(n) = i*v(n) + 5*l(n). Find m such that c(m) = 0.
3
Let i**3 + 1/3*i**2 - 1/3*i**4 - i + 0 = 0. What is i?
-1, 0, 1, 3
Let a = -17 + 20. Factor -i**a - 10*i**4 + 17*i**4 - 2*i**4 + 21*i**3.
5*i**3*(i + 4)
Let j = -131 + 143. Suppose -5*h + j + 3 = 5*x, 3*x = h + 9. Factor 2/5*l**x + 2/5*l**4 + 7/5*l - 1/5*l**5 - 2/5 - 8/5*l**2.
-(l - 1)**4*(l + 2)/5
Suppose -219 + 213 = -3*o. Factor 62*z**2 + 66*z**2 + o*z**3 + z**3 - 6*z - 125*z**2.
3*z*(z - 1)*(z + 2)
Factor 2080*g - 405*g + 60*g**3 - 1062*g**2 - g**4 + 1776*g + 1409*g - 6561.
-(g - 27)**2*(g - 3)**2
Solve 3/4*p - 3*p**2 + 9/2 + 3/4*p**3 = 0.
-1, 2, 3
Let j be 1/(-2) - 5/(-10). Let t be j/(2/(-2) + 3). Find n, given that t*n**3 + 45*n**4 - n**3 + 7*n**3 - 53*n**4 + 2*n**2 = 0.
-1/4, 0, 1
Let b = 120 - 352/3. Let r(q) be the second derivative of -1/10*q**5 + 0 - 4*q**2 - 5/6*q**4 - b*q**3 - 7*q. Determine z so that r(z) = 0.
-2, -1
Suppose -14 = 4*w - 2*p - 24, -2*w + 25 = -5*p. Find n such that -2/7*n**3 + 1/7*n**2 + 1/7*n**4 + 0 + w*n = 0.
0, 1
Let u(d) be the third derivative of d**5/210 + 5*d**4/12 + 4*d**2 + 17. Factor u(y).
2*y*(y + 35)/7
Let f = 629/19180 + 2/685. Let t(h) be the second derivative of 0 + 1/7*h**3 + 0*h**2 + 6*h + f*h**4. Factor t(g).
3*g*(g + 2)/7
Let q(k) be the first derivative of -8*k**3/33 - 5*k**2/11 + 12*k/11 - 124. Factor q(t).
-2*(t + 2)*(4*t - 3)/11
Let m(i) be the first derivative of -i**6/180 - i**5/180 + i**4/12 - 6*i**2 - 11. Let q(y) be the second derivative of m(y). Let q(h) = 0. What is h?
-2, 0, 3/2
Let x(m) be the second derivative of 3/20*m**5 - 5/12*m**4 + 1/3*m**3 - 29*m + 0*m**2 + 0 + 1/30*m**6 - 1/42*m**7. Let x(y) = 0. What is y?
-2, 0, 1
Let x(u) = 15*u**2 - 70*u. Let h = -29 - -35. Let d(t) = t**2 - 5*t. Let f(s) = h*x(s) - 85*d(s). Suppose f(l) = 0. What is l?
-1, 0
Let v(o) be the first derivative of -2/3*o**3 + 18 + 6*o**2 + 0*o. Factor v(f).
-2*f*(f - 6)
Let t(l) = -17*l**2 - 4*l - 22. Let m(r) = 3*r**2 