Let v be (1 + -2)/(3/6). Let y be (1/v)/(5/(-20)). What is u in 2*u**2 + 2*u**y - 4*u**3 + 2*u**4 - 2*u**3 = 0?
0, 1, 2
Let b(s) be the third derivative of 0 + 7*s**2 - 3/20*s**5 - 2*s**3 + 0*s - s**4. Factor b(f).
-3*(f + 2)*(3*f + 2)
Let 38/5*l - 2/5*l**2 + 0 = 0. Calculate l.
0, 19
Let l(g) be the third derivative of -g**7/252 - 7*g**6/144 - 7*g**5/72 + 25*g**4/48 + 438*g**2. Factor l(n).
-5*n*(n - 1)*(n + 3)*(n + 5)/6
Let h(b) be the third derivative of b**6/8 + 73*b**5/100 - 3*b**4/20 + 2*b**2 + 52. Solve h(y) = 0.
-3, 0, 2/25
Let z(s) be the first derivative of s**5/10 - 11*s**4/36 + 2*s**3/9 + 19*s**2 + 44. Let d(p) be the second derivative of z(p). Factor d(o).
2*(o - 1)*(9*o - 2)/3
Let d be 72*28*8/840. Determine y, given that -d*y + 24/5*y**3 + 24/5 - 6/5*y**2 = 0.
-2, 1/4, 2
Factor -17*o + 41*o**2 + 13*o**3 + o**4 + 0*o**4 - 23*o + 18 + 87*o.
(o + 1)**2*(o + 2)*(o + 9)
Let k(f) be the third derivative of 1/112*f**8 + 9*f**2 + 0*f + 0*f**4 + 0 - 1/40*f**6 + 0*f**3 + 1/10*f**5 - 1/35*f**7. Factor k(r).
3*r**2*(r - 2)*(r - 1)*(r + 1)
Suppose -o + 3 - 1 = 0. Factor q**2 - 6*q**3 + 7*q**3 - 2*q**3 + o*q.
-q*(q - 2)*(q + 1)
Let v(q) be the second derivative of 0*q**2 + 0 + 1/16*q**4 - 1/80*q**5 + 1/960*q**6 + 12*q - 2/3*q**3. Let j(o) be the second derivative of v(o). Factor j(l).
3*(l - 2)**2/8
Let o(y) be the second derivative of 263*y**6/30 - y**5/10 - 455*y. Let o(w) = 0. Calculate w.
0, 2/263
Suppose -2*z - 29 = -o + 2*z, z = 3*o - 54. Suppose -5*u + o = 2. Factor 3*p**2 + 3*p**u + 76*p - 76*p.
3*p**2*(p + 1)
Determine j so that -44*j - 6647 - 2*j**3 + 50*j**2 + 13234 - 6683 = 0.
-1, 2, 24
Let z(s) = -15*s - 400. Let o be z(-27). Let w(f) be the third derivative of 0*f - 5*f**2 + 1/12*f**4 + 0 + 1/60*f**o + 0*f**3. Suppose w(i) = 0. Calculate i.
-2, 0
Factor -15/2 + 3/4*k**2 + 27/4*k.
3*(k - 1)*(k + 10)/4
Let j(y) be the third derivative of -12167*y**6/280 + 1587*y**5/28 - 1725*y**4/56 + 125*y**3/14 + 2*y**2 + 91*y. Factor j(i).
-3*(23*i - 5)**3/7
Factor 361/2*i**4 + 0 - 513/4*i**3 + 21*i**2 - i.
i*(2*i - 1)*(19*i - 2)**2/4
Factor 52 - 56*s - s**2 - 94*s + 99.
-(s - 1)*(s + 151)
Determine y so that -8*y**2 - 20*y + 0 - 4/5*y**3 = 0.
-5, 0
Factor 24/5*p - 99/5 + 3/5*p**2.
3*(p - 3)*(p + 11)/5
Let z(c) = 6*c**2 - 11*c - 21. Let d(s) = -10*s**2 + 16*s + 32. Let f(r) = -5*d(r) - 8*z(r). Determine j, given that f(j) = 0.
-2
Let x = 8845/6 - 1473. Let -2*b + 2*b**3 - 2/3 - x*b**4 + 11/6*b**2 = 0. Calculate b.
-1, -2/7, 1, 2
Let b(j) = -j**3 + 6*j**2 + 2*j - 9. Let i be b(6). Suppose 3*f = 4*h, -i*h - f + 0*f + 13 = 0. Factor -2*p + 7 - p**2 - 4 - h - 1.
-(p + 1)**2
Let u = 631/4 + -157. Let t be ((-1)/(-5))/(64/80). Factor -3/4*v + t*v**5 + 1/4 + 1/2*v**2 + 1/2*v**3 - u*v**4.
(v - 1)**4*(v + 1)/4
Solve 25*l**3 + 270*l**2 + 478 + 608*l - 73 + 35*l**3 + 5*l**4 - 68*l = 0 for l.
-3
Let y(j) be the second derivative of -j**6/15 - 2*j**5/5 - 891*j. Solve y(a) = 0.
-4, 0
Let m(t) = -8*t**2 - 8*t - 5. Let x be m(9). Let z = 5105/7 + x. Let z*g**3 - 15/7*g - 30/7*g**4 + 0*g**2 + 6/7 + 9/7*g**5 = 0. What is g?
-2/3, 1
Let y be (6/5)/((-27)/1530). Let r = y + 70. Find b such that -2/3*b**4 - 2/3*b - 2*b**2 - r*b**3 + 0 = 0.
-1, 0
Let x = -2 + 5. Let p = -367 - -4041/11. What is o in -4/11*o**2 + 2/11*o**x - 2/11*o + p = 0?
-1, 1, 2
Let w be 4/(-6)*(-18)/12*(-53)/(-159). Let 0 - 1/3*c**2 + 1/6*c**5 - 1/6*c + w*c**4 + 0*c**3 = 0. What is c?
-1, 0, 1
Let g = -50 - -34. Let y = -14 - g. Determine f, given that 3*f - f**2 + 2 - 3*f - f**y = 0.
-1, 1
Let i be (2/6*-1)/(18/162). Let y = -1 - i. Find p such that 0*p + 2/11 - 2/11*p**y = 0.
-1, 1
Let r(l) be the second derivative of 0*l**2 + 46*l - 1/6*l**3 - 1/24*l**4 + 1/40*l**5 + 0. Factor r(c).
c*(c - 2)*(c + 1)/2
Let q = 106 + -81. Suppose 140*l - 72 - 45*l**3 + 5*l**5 + 12 - 52*l**2 + q*l**4 - 28*l**2 + 15*l**2 = 0. Calculate l.
-6, -2, 1
Let j(m) be the third derivative of m**8/1512 - m**7/315 - m**6/54 - m**5/135 + m**4/12 + 5*m**3/27 - 68*m**2. Let j(p) = 0. Calculate p.
-1, 1, 5
Let j be 16 + -52*18/504. Let 30/7*i**3 - 3/7*i**4 + 120/7*i - 48/7 - j*i**2 = 0. Calculate i.
1, 4
Suppose 18/19*f**3 - 18/19*f + 0 - 2/19*f**4 + 2/19*f**2 = 0. What is f?
-1, 0, 1, 9
Suppose 2*o = -4*p - 0 + 20, 5*o - 5*p - 5 = 0. Suppose h + 3 = o*k, -k + 4*h - 8 = 2*h. Factor f**2 + 2*f**2 - k - f**2 - 4 - 4*f.
2*(f - 3)*(f + 1)
Let f be ((-54)/15)/((-798)/10260). Factor -4/7*p**2 - 72/7*p - f.
-4*(p + 9)**2/7
Let z be (-2 - -3 - (0 + 11))/2. Let n = -5 - z. Factor n + 2/5*s**3 + 8/5*s - 8/5*s**2.
2*s*(s - 2)**2/5
Let g be 15/6*(-4 - (-156)/30). Let f(i) be the second derivative of 6*i + 0 + 9/25*i**5 + 0*i**2 + 9/20*i**4 + 1/5*i**g + 1/10*i**6. Factor f(r).
3*r*(r + 1)**2*(5*r + 2)/5
Let q(g) be the second derivative of g**5/70 - g**4/7 + 3*g**3/7 + 218*g. Determine x, given that q(x) = 0.
0, 3
Let i = -3494 + 13985/4. Solve -6*q + 3/4*q**4 - 3 - i*q**2 + 3/2*q**3 = 0.
-2, -1, 2
Let g(q) be the first derivative of -54/7*q**2 + 2/21*q**6 - 29 + 0*q**3 + 0*q - 32/35*q**5 + 18/7*q**4. Solve g(a) = 0.
-1, 0, 3
Let n(j) = -9*j**2 + 11*j + 10. Let o(i) be the second derivative of -25*i**4/3 + 20*i**3 + 55*i**2 + 6*i. Let q(v) = -65*n(v) + 6*o(v). Factor q(s).
-5*(s - 1)*(3*s + 2)
Let p = -33 - 3. Let s be (-10)/3*p/30. Factor -4*k**3 + 2*k**s + 0 + 2*k + k + k - 2.
2*(k - 1)**3*(k + 1)
Let c(j) = 12*j**3 + 52*j**2 - 92*j + 4. Let r(z) = 28*z**3 + 103*z**2 - 183*z + 9. Let y(x) = -9*c(x) + 4*r(x). Solve y(m) = 0 for m.
0, 2, 12
Factor -1/3*h**2 - 6*h - 32/3.
-(h + 2)*(h + 16)/3
Let k be -30*(11/(-165))/(2/12). Suppose 3/2*r**3 + 24*r + 0 + k*r**2 = 0. Calculate r.
-4, 0
Let a(o) be the first derivative of -o**6/90 - o**5/18 - o**4/9 - 10*o**3/3 - 3. Let x(f) be the third derivative of a(f). Solve x(v) = 0 for v.
-1, -2/3
Suppose z = -5*r + 29, -3*r + 3*z + 2*z = -23. Suppose 3*m - 3 = -3*a, -r = -2*m + 2*a + 8. Factor -m*s + 2*s + 27*s**2 - 38*s**2.
-s*(11*s + 2)
Let o(u) be the second derivative of -u**4/36 - 5*u**3/9 + 4*u**2 - 24*u. Let o(j) = 0. Calculate j.
-12, 2
Let k(d) be the first derivative of d**4/6 - 2*d**3/3 - 3*d**2 - 10*d/3 + 142. Factor k(x).
2*(x - 5)*(x + 1)**2/3
Let s = 847/5790 + -5/386. Solve 0*m - s*m**2 + 0 - 2/15*m**3 = 0 for m.
-1, 0
Suppose 15*s + 321 - 66 = 0. Let x be (s - -22)*(-2)/(-5). Factor 2/5*o + 1/5*o**x + 1/5.
(o + 1)**2/5
Let b(i) = -8*i**3 + 78*i**2 + 159*i + 88. Let o(n) = -7*n**3 + 77*n**2 + 161*n + 87. Let c(h) = -2*b(h) + 3*o(h). Find l such that c(l) = 0.
-1, 17
Let m(s) = s**3 - s**2 + 7*s - 10. Let h be m(3). Determine q so that h*q**3 + 48 - 672*q**2 + 7*q**3 - 282*q**5 - 159*q**5 + 1029*q**4 = 0.
-2/3, -2/7, 2/7, 1, 2
Factor 12203*d**2 - 6104*d**2 - 214*d - 6101*d**2.
-2*d*(d + 107)
Let x(n) be the first derivative of 4*n**5/5 + 6*n**4 - 108*n**2 - 324*n + 101. Solve x(u) = 0.
-3, 3
Let l(n) be the third derivative of -n**6/240 - n**5/40 + 13*n**4/48 + 5*n**3/4 - 16*n**2 - 2*n. Factor l(v).
-(v - 3)*(v + 1)*(v + 5)/2
Suppose -3*d + 111*y - 29 = 104*y, 5*d = -4*y + 30. Suppose -8/15 + 2/15*a**d + 2/5*a = 0. What is a?
-4, 1
Find v, given that 60*v**3 - 45*v + 5 - 6*v**3 - 55 - 9*v**3 + 55*v**2 - 5*v**4 = 0.
-1, 1, 10
Factor -32/9*s + 2/9*s**2 + 10/3.
2*(s - 15)*(s - 1)/9
Let a(j) be the second derivative of -12*j - 1/30*j**5 + 1/9*j**4 + 0 - 2/3*j**2 + 1/9*j**3. Find m, given that a(m) = 0.
-1, 1, 2
Suppose -79*w + 75*w = -4*v + 16, -4*v + 7 = 5*w. Factor -1/2*x**v + 0 + 0*x - 2*x**2.
-x**2*(x + 4)/2
Let i = 9 - 18. Let x(l) = l**3 + 8*l**2 - 7*l + 20. Let z be x(i). Factor 2/13 + 2/13*c**z - 4/13*c.
2*(c - 1)**2/13
Let w be (-52)/(-20) + 2/5. Suppose -6 - 4*b**2 + 20*b - 4*b**3 + 2 - 5 - w = 0. What is b?
-3, 1
Let x(r) be the second derivative of 3*r**5/20 + 7*r**4/4 - r**3/2 - 21*r**2/2 + 7*r + 12. Solve x(d) = 0.
-7, -1, 1
Suppose 0 = -5*v + 2 + 8. Let m = -28 + 28. Suppose -h + h + m*h + h**v - h = 0. What is h?
0, 1
Let x(f) be the third derivative of 28*f**2 + 1/180*f**6 + 0 + 0*f + 0*f**3 - 1/30*f**5 + 0*f**4. Factor x(u).
2*u**2*(u - 3)/3
Let s(c) be the first derivative of c**5/15 - c**4/3 - 22*c**3/9 + 2*c**2/3 + 7*c + 314. Solve s(x) = 0 for x.
-3, -1, 1, 7
Let g be 21/56 + 1010/(-48). Let n = g + 22. What is c in 0*c + 8/3*c**3 + 4*c**2 - n = 0?
-1, 1/2
Let c =