*u - 1)**2
Let t(j) = j**3 + 6*j**2 + 6*j + 5. Let h be t(-5). Suppose -3*s + 2*p - 2 = -4, h = -s - 2*p - 2. Suppose s + 1/3*r + 0*r**2 - 1/3*r**3 = 0. Calculate r.
-1, 0, 1
Let f(h) = 4*h - 4. Let z be f(7). Let s be 5/(-11)*z/(-10). Suppose 2/11*q**4 - 8/11*q + 2/11 - 8/11*q**3 + s*q**2 = 0. Calculate q.
1
Let v(c) = 8*c**4 + 3*c**3 - 6*c**2 - 6*c - 6. Let d(o) = -17*o**4 - 6*o**3 + 13*o**2 + 13*o + 13. Let w = 92 - 98. Let i(n) = w*d(n) - 13*v(n). Factor i(f).
-f**3*(2*f + 3)
Find l, given that 4/5 + 9/5*l**4 - 16/5*l - 13/5*l**2 + 16/5*l**3 = 0.
-2, -1, 2/9, 1
Factor 40/11*q**3 + 4*q - 86/11*q**2 + 2/11*q**4 + 0.
2*q*(q - 1)**2*(q + 22)/11
Let m(o) be the second derivative of 3*o**5/40 + 3*o**4/8 - 3*o**2 + 5*o - 12. Suppose m(y) = 0. What is y?
-2, 1
Let x(m) be the second derivative of m**4/54 - m**3 - 28*m**2/9 - 308*m. Solve x(p) = 0 for p.
-1, 28
Let c be 4/(-18) + 0 + (-35641)/(-11061). Solve 0*o - 1/2*o**5 + 1/2*o**2 - 1/2*o**4 + 0 + 1/2*o**c = 0 for o.
-1, 0, 1
Let y(p) be the second derivative of -1/24*p**4 + 0 + 1/12*p**3 + 12*p + 0*p**2. Determine w so that y(w) = 0.
0, 1
Let b(l) = -l**3 - 5*l**2 - 5*l - 4. Let z be b(-4). Suppose -6 + z = -3*x. Factor 252 - 4*s**x - 6*s + 7*s**3 + 2*s**5 - 254 + 6*s**4 - 3*s**3.
2*(s - 1)*(s + 1)**4
Let p(l) be the first derivative of l**6/15 + 14*l**5/25 + 9*l**4/5 + 44*l**3/15 + 13*l**2/5 + 6*l/5 - 160. Factor p(u).
2*(u + 1)**4*(u + 3)/5
Let 78608/13*w**4 + 14076/13*w**2 - 164152/13*w**3 + 4/13 - 410/13*w = 0. Calculate w.
1/34, 2
Let a be ((-2)/3)/(20 + -9 + (-183)/15). Find u such that 2/9 + 10/9*u**3 - 5/9*u**5 - a*u + 2/9*u**4 - 4/9*u**2 = 0.
-1, 2/5, 1
Factor -396/5*n + 222/5*n**2 - 9*n**3 + 3/5*n**4 + 216/5.
3*(n - 6)**2*(n - 2)*(n - 1)/5
Let i(v) be the second derivative of 9/20*v**5 - 10*v + 0 - 5/2*v**3 - 9*v**2 + 2*v**4. Factor i(j).
3*(j - 1)*(j + 3)*(3*j + 2)
Let f = -11 - -15. Suppose -c + 6 = 4*u, -12*u + 13*u = -4*c + 39. Determine m so that -f*m - 30*m**2 + c*m**2 - 4 + 4 - 16*m**3 = 0.
-1, -1/4, 0
Let n(c) be the second derivative of -c**6/360 - c**5/40 - c**4/12 - c**3/2 + 9*c. Let p(o) be the second derivative of n(o). Determine g so that p(g) = 0.
-2, -1
Let d(f) be the first derivative of -f**6/2 + 2*f**5 + 35*f**4/12 - 40*f**3/9 - 10*f**2/3 + 16*f/3 + 77. Solve d(m) = 0.
-1, 2/3, 4
Factor 5/6*i**4 + 0 - 1/3*i**2 - 1/2*i**3 + 0*i.
i**2*(i - 1)*(5*i + 2)/6
Let h(a) be the first derivative of 32*a**6/15 - 72*a**5/5 + 121*a**4/3 - 60*a**3 + 50*a**2 + 14*a - 16. Let i(g) be the first derivative of h(g). Factor i(o).
4*(o - 1)**2*(4*o - 5)**2
Suppose 225*g - 224*g = 0. Factor g*k - 4/3*k**2 + 22/9*k**3 + 0 - 8/9*k**4 - 2/9*k**5.
-2*k**2*(k - 1)**2*(k + 6)/9
Let c = -2659 - -29253/11. Let o(h) be the first derivative of c*h - 1/11*h**2 - 11 - 2/33*h**3. Determine p so that o(p) = 0.
-2, 1
Suppose -2*d + 10 + 0 = 0. Factor -2*f**5 - 108*f**2 + 4*f**5 - 51*f**4 - 108*f**3 - 6*f**d + 15*f**4.
-4*f**2*(f + 3)**3
Let d be ((-2)/1 + 5)*(-260)/(-60). Let i(f) = 2*f**2 - 27*f + 17. Let x be i(d). Find y, given that -2/7*y**x + 2/7*y**3 - 10/7*y + 4/7 + 6/7*y**2 = 0.
-2, 1
Let x(n) be the third derivative of -n**5/40 - 5*n**4/24 - n**3/4 + 63*n**2. Solve x(i) = 0 for i.
-3, -1/3
Let p be (8/6)/(6/9). Let c = 16 + -14. Solve c + 4*o**p - 4*o**2 + 2*o**2 - 4 = 0 for o.
-1, 1
Determine o, given that -2/9*o**2 - 28/3*o - 98 = 0.
-21
Let s(b) = -b**2 - 5*b - 3. Let k be (3/(-9))/((-2)/(-18)). Let w be s(k). Suppose 9*x**3 - 11*x**2 + 0*x**w - 3*x**4 + 0*x**2 + 2*x**2 + 3*x = 0. Calculate x.
0, 1
Suppose -28*g - 14 = -9 - 5. Let 3/2*n + 1/2*n**3 - 1/2*n**4 + 5/2*n**2 + g = 0. Calculate n.
-1, 0, 3
Let m = -33 - -49. Let g(b) = 169*b - 3. Let v be g(1). Factor -m + 35*h**4 + 2*h**4 + 12*h**2 - v*h**4 - 67*h**4 + 80*h - 280*h**3.
-4*(h + 1)**2*(7*h - 2)**2
Let n be ((-8)/10)/(144/(-90)). Find k, given that n*k**2 + 0 - 1/2*k**4 + 3/2*k**3 - k - 1/2*k**5 = 0.
-2, -1, 0, 1
Let b be (-14)/77 - 72/(-33). Suppose b*g = -g. Factor g*l + 0 + 3/2*l**2.
3*l**2/2
Let -48/5 + 2/5*z**5 - 38*z - 8*z**4 - 36*z**3 - 56*z**2 = 0. Calculate z.
-1, 24
Let d(g) be the second derivative of -g**4/114 + 29*g**3/57 - 54*g**2/19 - 4*g - 7. Factor d(i).
-2*(i - 27)*(i - 2)/19
Let w = -388/19 - -1571/76. Solve -4*h + w*h**2 + 16 = 0.
8
Suppose 62*u - 57*u = 90. Let p be (-6)/12*1 - (-25)/u. Let -p*x**2 + 2/3*x**4 - 10/9*x**3 + 0 + 8/9*x = 0. What is x?
-1, 0, 2/3, 2
Let x be 13/6 + 129/(-86). What is p in 2/3 + 1/2*p**4 + 2/3*p - x*p**3 - 7/6*p**2 = 0?
-1, -2/3, 1, 2
Let f(b) be the second derivative of 5*b**7/126 + b**6/6 - b**5/3 - 625*b. Factor f(y).
5*y**3*(y - 1)*(y + 4)/3
Suppose -3/4*u**3 - 1/2*u**2 + 0*u + 3*u**4 + 0 - 7/4*u**5 = 0. What is u?
-2/7, 0, 1
Let 10*d**2 - 12*d**2 - 87*d + 86 + 3*d**2 = 0. What is d?
1, 86
Let f(k) be the third derivative of 6*k + 1/156*k**4 + k**2 + 0 + 0*k**3 + 1/390*k**5. Factor f(z).
2*z*(z + 1)/13
Let k(a) be the second derivative of a**6/10 - 15*a**5/2 + 573*a**4/4 + 650*a**3 + 1014*a**2 - 183*a. Factor k(d).
3*(d - 26)**2*(d + 1)**2
Factor 64/7*m**3 + 96/7*m - 16*m**2 + 2/7*m**5 - 32/7 - 18/7*m**4.
2*(m - 2)**4*(m - 1)/7
Let -4/5*p**2 - 12/5 + 4/5*p**3 - 4*p = 0. Calculate p.
-1, 3
Let y(t) = -3*t**3 - 2*t**2 + 2. Let a be y(-1). Determine k, given that -a*k + 8*k + 6 + 478*k**3 - 481*k**3 + 4*k = 0.
-1, 2
Let u(k) be the first derivative of -5*k**6/6 - 15*k**5 - 195*k**4/4 - 185*k**3/3 - 30*k**2 + 38. Determine h so that u(h) = 0.
-12, -1, 0
Let 12*p**2 + 5*p**3 + 57*p + 33*p**2 + 43*p = 0. Calculate p.
-5, -4, 0
Let t(z) = 2*z**4 + 12*z**3 - 26*z**2 + 16*z + 4. Let b(i) = 4*i**4 + 25*i**3 - 52*i**2 + 33*i + 10. Let m(l) = -2*b(l) + 5*t(l). Determine y so that m(y) = 0.
-7, 0, 1
Let x(t) be the third derivative of -t**8/2520 + t**6/300 + t**5/225 + 3*t**2 - 9*t. Factor x(o).
-2*o**2*(o - 2)*(o + 1)**2/15
Let w(u) be the first derivative of u**4/2 + 10*u**3/3 - 14*u**2 - 31. Factor w(c).
2*c*(c - 2)*(c + 7)
Let y(n) = 2*n**4 - 12*n**3 + 16*n**2 - 8*n. Let x(q) = -426 + 426 - q**2 + q. Let b(m) = 8*x(m) - y(m). Factor b(p).
-2*p*(p - 2)**3
Factor 18*x**3 + 3*x**2 - 72*x + 21 - 18 + 3*x**4 + 45.
3*(x - 1)**2*(x + 4)**2
Let 4*d**2 - 4*d + 3 + 5 + 4*d + 12*d = 0. What is d?
-2, -1
Let v = -13 - -79. Factor v*a - 291*a**2 + 306*a**2 + 16 + 110*a + 469*a**2.
4*(11*a + 2)**2
Let s(y) be the first derivative of 1/10*y**2 + 1/25*y**5 + 0*y - 14 + 1/5*y**3 + 3/20*y**4. Factor s(u).
u*(u + 1)**3/5
Let f = -25326 + 25329. Solve -3/5*o + 2/5*o**f + 3/5*o**4 - 1/5 - 2/5*o**2 + 1/5*o**5 = 0.
-1, 1
Let z(m) be the second derivative of m**5/20 - m**4/2 + 3*m**3/2 - 12*m**2 + 28*m. Let n(b) be the first derivative of z(b). Factor n(d).
3*(d - 3)*(d - 1)
Let g = 29/750 - 2/375. Let a(i) be the third derivative of 0*i + 4*i**2 + 0 - g*i**5 + i**3 - 1/6*i**4. Factor a(l).
-2*(l - 1)*(l + 3)
Let q = 420 - 416. Let s(d) be the second derivative of 0 - 1/21*d**4 + 1/35*d**5 + 0*d**2 - q*d - 4/21*d**3. Factor s(n).
4*n*(n - 2)*(n + 1)/7
Let x(u) be the first derivative of -u**6/180 + u**5/90 + u**4/18 - 5*u**2/2 + 3. Let f(s) be the second derivative of x(s). Factor f(y).
-2*y*(y - 2)*(y + 1)/3
Find r such that -45*r - 60 - 4*r**2 - 19*r - 15*r + 47*r = 0.
-5, -3
Find p such that -10*p - 6*p - 56*p**3 + 8*p + 44*p**2 = 0.
0, 2/7, 1/2
Let w(g) be the first derivative of -36 - 24*g**2 + 4/3*g**3 + 144*g. Let w(m) = 0. What is m?
6
Let w(v) be the second derivative of 3*v**5/80 + 37*v**4/16 + 57*v**3 + 702*v**2 + v - 554. Factor w(c).
3*(c + 12)**2*(c + 13)/4
Find y such that 1/2*y**2 - 19/2*y + 24 = 0.
3, 16
Let n(r) be the first derivative of -24 - 11*r + 7 - 4*r + r**3 - 7 + 6*r**2. Solve n(o) = 0.
-5, 1
Let z(f) = -f**4 - f**3 - f**2 - f + 1. Let v(m) = 6*m**4 + 4*m**3 + 2*m**2 + 6*m - 3. Suppose 0 = -2*w + 15 - 13. Let b(i) = w*v(i) + 5*z(i). Factor b(j).
(j - 2)*(j - 1)*(j + 1)**2
Let s be 12/(-30) + (-47)/(-5). Suppose 5*u**4 - 30*u**3 - s*u + 25*u + 5*u**2 - 6*u + 10*u**5 = 0. What is u?
-2, -1/2, 0, 1
Let a(n) be the second derivative of 35*n**2 - 5/3*n**4 + 0 + 9*n - 5/6*n**3. Let a(v) = 0. Calculate v.
-2, 7/4
Let i(x) be the second derivative of -x**8/6720 - x**7/2520 - 29*x**4/12 - 4*x. Let j(d) be the third derivative of i(d). Factor j(v).
-v**2*(v + 1)
Suppose -3*c - 2*p + 20 = -3*