**3 - a**2 + a + 1. Let t be 6/(-3) - (6 - 2). Let y(u) = t*w(u) - j(u). Let y(x) = 0. What is x?
-1, 1
Let o(y) be the second derivative of 11/39*y**3 - 2/13*y**2 - 7/78*y**4 - 35*y - 2/13*y**5 + 0. Suppose o(x) = 0. Calculate x.
-1, 1/4, 2/5
Factor -15*i + 55/4 + 5/4*i**2.
5*(i - 11)*(i - 1)/4
Let p(z) be the second derivative of -z**6/225 - 157*z**5/150 - 1378*z**4/15 - 29744*z**3/9 - 140608*z**2/15 + 34*z + 6. Solve p(q) = 0.
-52, -1
Let k(b) = -b + 6. Let c be k(6). Suppose c*l - 2*l = -3*r - 2, 5*r - 22 = -3*l. Suppose 2*h**l - 2*h**3 + 38*h**2 - 40*h**2 + 3*h - h = 0. What is h?
-1, 0, 1
Let r be (-3 + 2)*9*(-5 - -6). Let f be r/60 - ((-16)/20)/2. Factor -1/2*b**3 - b**2 + 3/4 + 1/2*b + f*b**4.
(b - 3)*(b - 1)*(b + 1)**2/4
Let b be 1 + 24/11 - 152/836. Let h(n) be the first derivative of 5/3*n**b - 11 + 5/2*n**2 + 0*n. Factor h(l).
5*l*(l + 1)
Determine y, given that -9/2*y**3 + 9/2*y**2 + 0 + 3/2*y**4 - 1/6*y**5 + 0*y = 0.
0, 3
Let a(w) = 5*w + 0*w**2 - 6*w - w**3 - 4 + 4*w**2. Let r be a(3). Solve -3*p**3 + 7*p**3 + 6*p**r + 9*p - 7*p**3 = 0 for p.
-1, 0, 3
Let g be ((-30)/(-405))/(50/45). Let d(n) be the third derivative of 0*n - 13*n**2 + 0*n**4 + 0 + g*n**5 - 8/3*n**3. Factor d(i).
4*(i - 2)*(i + 2)
Let d be (-22 + 4459/208)*8/(-6). Suppose u + 1/4*u**2 + d = 0. Calculate u.
-3, -1
Let d = -162 - -649/4. Let n(y) be the second derivative of 0 - 1/12*y**4 + 1/20*y**5 - 1/4*y**2 + 1/84*y**7 - d*y**3 + 1/20*y**6 + 2*y. Factor n(o).
(o - 1)*(o + 1)**4/2
Let m be 10/35 - (-3 + 256/14). Let h be m/(-220)*(-16)/(-2). Factor 0 - h*f**3 + 8/11*f**2 - 2/11*f.
-2*f*(f - 1)*(3*f - 1)/11
Let x(g) = 10*g - 7. Suppose -3*v = -y + 10, -2*y - 3*v = 2*y + 5. Let k be x(y). Factor -2/7*l**2 - 2/7*l**4 + 4/7*l**k + 0 + 0*l.
-2*l**2*(l - 1)**2/7
Suppose 7*i = -0*i - 2*i. Suppose -6 + 44*x + i*x**3 + 4*x**3 + 28*x**2 + 26 = 0. What is x?
-5, -1
Suppose -5*u = 2*x + 71, 2*u = -u + 2*x - 49. Let n be ((-2)/14)/(u/70). Suppose -2/9*k**4 + 4/9 + n*k**3 - 2/3*k - 2/9*k**2 = 0. Calculate k.
-1, 1, 2
Let d(f) be the third derivative of -f**5/480 + f**3/48 - 50*f**2 - f. Factor d(c).
-(c - 1)*(c + 1)/8
Let z be (-48)/56*(-21)/6. Let t(b) be the second derivative of 1/28*b**4 + 0 + 3/14*b**z - 6/7*b**2 - 11*b. Factor t(g).
3*(g - 1)*(g + 4)/7
Suppose 3*x = 2*d - 7, -d = 4*x - 6*d. Let c(u) = 2*u**2 - 2*u + 32. Let l(h) = h**2 - h + 13. Let r(f) = x*c(f) + 12*l(f). Factor r(m).
2*(m - 2)*(m + 1)
Let k be (-21)/18*(0 - 40/105). Factor 2/9*x - 10/9*x**2 + 4/9*x**3 + k.
2*(x - 2)*(x - 1)*(2*x + 1)/9
Let b = 91 + 8. Let q be 1/((-13)/(-18) + (-22)/b). Determine c, given that 0 + 0*c**q + 1/3*c**3 - 1/3*c = 0.
-1, 0, 1
Suppose -z + 18 = -0*z + 4*w, 5*w - 12 = 4*z. Determine u so that -2*u**3 - u**2 + 6*u**2 - 6*u**z - 6*u**5 + 8*u**3 + u**4 = 0.
-1, 0, 1/6, 1
Suppose -5*b + 4*z + 1460 = 0, 6*b - b - 3*z = 1465. Factor b*a - 4*a**2 + 2*a**4 - 296*a - 2*a**3.
2*a**2*(a - 2)*(a + 1)
Factor -1/3*s**3 + 0 + 0*s**2 + 4/3*s.
-s*(s - 2)*(s + 2)/3
Let w(o) be the second derivative of 4*o - 1/4*o**5 - o**2 + 5/6*o**3 + 1/6*o**4 + 0. Factor w(i).
-(i - 1)*(i + 1)*(5*i - 2)
Let u be 4*(-13)/(-2) - (-7 - -11). Let k be (u + 0)/((-72)/(-12)). Determine w so that -56/3*w**4 - k*w - 43/3*w**2 - 16/3*w**5 - 1/3 - 73/3*w**3 = 0.
-1, -1/4
Let v(g) be the first derivative of -3*g**6/40 + 39*g**5/160 - g**4/16 - 5*g - 27. Let d(u) be the first derivative of v(u). Factor d(x).
-3*x**2*(x - 2)*(6*x - 1)/8
Let h(k) be the third derivative of -3*k**5/35 - 11*k**4/21 + 10*k**3/7 - 249*k**2. Solve h(o) = 0.
-3, 5/9
Let u(b) be the second derivative of -b**8/7560 + b**6/324 - b**4/27 - 16*b**3/3 - 2*b. Let o(d) be the second derivative of u(d). Let o(j) = 0. Calculate j.
-2, -1, 1, 2
Let s(m) be the second derivative of 5*m**4/12 - 45*m**2/2 - 3*m - 4. Solve s(j) = 0 for j.
-3, 3
Let o(v) be the second derivative of v**5/100 - 7*v**3/30 + 3*v**2/5 - v + 51. Solve o(r) = 0 for r.
-3, 1, 2
Let v(i) be the first derivative of 5 + 5/6*i**3 - i - 3/4*i**2. Let v(m) = 0. What is m?
-2/5, 1
Suppose 0 = -5*n - w + 23, 0 = -2*n - 0*n - w + 11. Let b be 2/n*(-3 + -3 - -6). Let b - 2/9*r**2 + 2/9*r = 0. What is r?
0, 1
Let o(t) be the third derivative of -t**7/525 - 7*t**6/60 - 143*t**5/75 + 33*t**4/5 + 216*t**3/5 - 34*t**2. Determine r, given that o(r) = 0.
-18, -1, 2
Let y be 0*1/2 + 3. Suppose 2*f**4 + 12*f**3 - f**y + 2*f + 6*f**2 - 5*f**3 = 0. What is f?
-1, 0
Let q be (582/(-18333))/((-4)/14). Find t such that 0*t + 0 + q*t**3 + 0*t**4 - 1/9*t**5 + 0*t**2 = 0.
-1, 0, 1
Let v(n) be the third derivative of -n**7/525 - n**6/75 + n**5/50 + 7*n**4/30 + 8*n**3/15 + 86*n**2. Suppose v(t) = 0. What is t?
-4, -1, 2
Let q be 1122/280 - 7 - -3. Let v(y) be the third derivative of -q*y**5 + 0 + 2*y**2 - 1/7*y**3 + 0*y - 3/56*y**4. Factor v(l).
-3*(l + 1)*(l + 2)/7
Determine f so that 89*f + 24*f + 29*f**3 - 34*f**2 - 53*f**2 + 4*f - 10*f**3 - f**4 = 0.
0, 3, 13
Let s(q) be the second derivative of -9*q**5/20 + q**4/2 + 3*q**3/2 - 3*q**2 - 70*q. Solve s(b) = 0.
-1, 2/3, 1
Suppose 0 = 115*n - 119*n + 8. Let f(a) be the first derivative of 4 + 1/2*a**n + 0*a**3 - 1/4*a**4 - 1/10*a**5 + 1/2*a. Find b such that f(b) = 0.
-1, 1
Let l be 2/(0 - (-4)/6). Suppose -46*k + 41*k = -15. Factor -2*n**l - 12*n + 1 + n**k + 13*n - n**2.
-(n - 1)*(n + 1)**2
Let u be 12/(-10)*(-30)/18. Let l(q) be the second derivative of 0*q**u - 1/24*q**4 + 1/80*q**5 + 0*q**3 + 0 + q. Factor l(m).
m**2*(m - 2)/4
Let v be (((-6)/3)/(-2))/1. Let m be (2 - v)*2/1 + 2. Let -6/5*n + 3*n**2 - 3/5*n**3 + 9/5*n**5 - 3*n**m + 0 = 0. What is n?
-1, 0, 2/3, 1
Let z = 77 + -36. Factor -z*c**2 + 41*c**2 + 0 + 4*c**4 - 4 - 8*c + 8*c**3.
4*(c - 1)*(c + 1)**3
Let m(c) = -2*c**2. Let r(p) = 2*p**3 - 3*p**2 + 7*p - 2. Let v(h) = -6*m(h) - 3*r(h). Factor v(n).
-3*(n - 2)*(n - 1)*(2*n - 1)
Let h(m) be the first derivative of -8*m + 14/3*m**3 + 5/2*m**4 - 11 - 8*m**2. Find k, given that h(k) = 0.
-2, -2/5, 1
Let c(a) be the third derivative of -1/105*a**7 - 1/30*a**5 + 0 + 0*a**3 + 0*a + 13*a**2 + 0*a**4 + 1/30*a**6. Determine v so that c(v) = 0.
0, 1
Let m = -6459/13 - -497. Let y be 11*1/(-13) + 1. Factor m*d**2 + 2/13*d - 2/13 - y*d**3.
-2*(d - 1)**2*(d + 1)/13
Let f(y) be the first derivative of 5*y**3/3 + 75*y**2/2 + 220*y + 117. Factor f(o).
5*(o + 4)*(o + 11)
Factor -425*j + 845*j + 6*j**2 - 422*j.
2*j*(3*j - 1)
Let f(y) be the third derivative of y**8/140 + y**7/35 + 3*y**6/100 - y**5/50 - y**4/20 + 179*y**2. Factor f(c).
6*c*(c + 1)**3*(2*c - 1)/5
Suppose 6 = 5*q - 24. Let x = -3 - -5. Find o, given that 0*o**2 + 3 + 7*o**2 - q*o**x - o**3 + 5*o = 0.
-1, 3
Let k(i) be the first derivative of i**4/6 + 188*i**3/9 + 2209*i**2/3 - 314. Solve k(t) = 0.
-47, 0
Let b be 33/99*(114/120 - (-2)/8). Find v, given that b*v - 2/5*v**3 + 2/15*v**4 - 2/15*v**2 + 0 = 0.
-1, 0, 1, 3
Let h(v) be the second derivative of -2*v**7/105 - 3*v**6/50 + v**5/50 + 3*v**4/20 + v**3/15 - 24*v. Find q such that h(q) = 0.
-2, -1, -1/4, 0, 1
Let h(s) be the third derivative of s**7/945 + s**6/90 - 7*s**5/270 - 204*s**2. Factor h(w).
2*w**2*(w - 1)*(w + 7)/9
Let y be (9/6)/((-3)/8). Let j be (-6)/y - 6/(-12). Solve -3*t**3 + t**4 - 3*t**5 - t**j + 2*t**5 + 2*t + 2*t**5 = 0 for t.
-2, -1, 0, 1
Let j be 4/12*(-12)/(-2). Let x = 3 - 1. Factor -4*z**x + 9 + 3*z**2 + 12*z + 4*z**j.
3*(z + 1)*(z + 3)
Let i(u) be the second derivative of u**5/20 - u**4/8 - 13*u**2 + 12*u. Let v(c) be the first derivative of i(c). Factor v(y).
3*y*(y - 1)
Let d(m) be the first derivative of 5*m**4/24 + 5*m**3/6 + 5*m**2/4 - 17*m + 14. Let p(w) be the first derivative of d(w). Factor p(y).
5*(y + 1)**2/2
Suppose 0 = 5*d + 3*r - 2 + 32, -14 = d - r. Let u be (-94)/(-18) + (-5 - 43/d). Let 75*z**2 - 93/2*z**4 + 12 - 21*z**u - 66*z + 93/2*z**3 = 0. Calculate z.
-2, 2/7, 1/2, 1
Find r, given that -19*r**2 + 23*r + 73*r + 22*r**2 = 0.
-32, 0
Factor -2/9*b**2 - 4/9*b + 0.
-2*b*(b + 2)/9
Let b(n) be the first derivative of -3*n**5/5 + 3*n**4/4 + 5*n**3 + 9*n**2/2 + 36. Let b(a) = 0. What is a?
-1, 0, 3
Let n be 14/1 + (-56 - -44). Factor 3/2*l**3 - 2/3*l + 7/6*l**4 - 2*l**n + 0.
l*(l - 1)*(l + 2)*(7*l + 2)/6
Let k be 748/198 + (-2 - 2) + 300/54. Solve -1/3*z**5 - 25/3*z**2 - k*z - 4/3 - 19/3*z**3 - 7/3*z**4 = 0 for 