se 2*i = -9*i + 22. Let t be (-7)/21*i/(-2). Solve 4/3*f + 4/3*f**4 - 1/3*f**5 - 10/3*f**2 + 8/3 - t*f**3 = 0.
-1, 2
Let g(r) be the second derivative of r**4/4 - r**3/6 - 2*r**2 + 2*r. Let z(y) = 4*y**2 - 2*y - 5. Let p(f) = -3*g(f) + 2*z(f). Factor p(h).
-(h - 1)*(h + 2)
Let c(q) be the first derivative of q**6/3 - q**5/5 - 5*q**4/4 - 2*q**3/3 + 176. Factor c(k).
k**2*(k - 2)*(k + 1)*(2*k + 1)
Let c = 19/39 - 2/13. Let b(m) be the first derivative of -m**2 + m + 1 + c*m**3. Factor b(g).
(g - 1)**2
Suppose -40*h = -47*h + 21. Let q(p) = 5*p**3 - 2*p**2 + 1. Let t be q(1). Determine w so that t*w**2 - h*w**2 - w**4 + 0*w**2 = 0.
-1, 0, 1
Let o(x) be the first derivative of 1/6*x**2 - 2/3*x - 22 - 1/12*x**4 + 1/3*x**3 - 1/15*x**5. Factor o(s).
-(s - 1)**2*(s + 1)*(s + 2)/3
Let -6*i**2 - 22*i**3 + 11*i**5 + 16*i**5 + 9*i**4 - 34*i + 0 - 20*i**3 + 49*i - 3 = 0. Calculate i.
-1, 1/3, 1
Let v(s) be the third derivative of -1/6*s**4 + 0*s + 2/15*s**5 - 4/3*s**3 - 12*s**2 + 1/30*s**6 + 0. Find y, given that v(y) = 0.
-2, -1, 1
Let y be 36/(-30)*13/(52/(-8)). Find w such that -y + 2*w - 2/5*w**2 = 0.
2, 3
Let p(y) be the third derivative of 0*y**3 + 0 - 1/90*y**6 - 2/45*y**5 - 1/18*y**4 + 0*y + 14*y**2. Solve p(k) = 0.
-1, 0
Let p(s) = -4*s - 77. Let c be p(-20). Factor 1/4*l**c + 1/2 + 0*l**2 - 3/4*l.
(l - 1)**2*(l + 2)/4
Let j be 6 + 348/3 + 1*-4. Let z be -2 + (-5)/20 + j/24. Factor 8/3*f - z - 2/3*f**2.
-2*(f - 2)**2/3
Find v, given that 8/3*v**3 - 76/9*v**4 + 0 + 0*v**2 + 0*v + 52/9*v**5 = 0.
0, 6/13, 1
Factor 2*p**5 + 11*p**3 + 4*p**2 + 23*p**3 - 4*p**4 - 36*p**3.
2*p**2*(p - 2)*(p - 1)*(p + 1)
Let k(h) be the second derivative of h**7/4410 - h**6/630 - 5*h**4/12 + 9*h. Let d(u) be the third derivative of k(u). Factor d(i).
4*i*(i - 2)/7
Factor -1/4*y**3 - 11/4*y**2 + 11/4 + 1/4*y.
-(y - 1)*(y + 1)*(y + 11)/4
Let 3/8*j + 0 + 1/8*j**2 = 0. What is j?
-3, 0
Factor -6*o**3 + 7*o**5 - 3*o**5 + 50*o**4 - 54*o**4 + 4*o**2 + 2*o**3.
4*o**2*(o - 1)**2*(o + 1)
Let z(j) = 17*j**2 + 2*j + 2. Let b be z(-1). Suppose -21 = 10*u - b*u. Find l, given that 3*l**u + 3 - 3/2*l**5 - 3*l**4 + 12*l**2 + 21/2*l = 0.
-1, 2
Suppose g - i - i = -4, -i = 5*g - 35. Find u, given that -3*u**2 - 4*u**4 - 6*u + 6*u**3 + g*u**4 + u**2 = 0.
-3, -1, 0, 1
Let l(n) be the first derivative of n**4/3 - 44*n**3/3 + 242*n**2 + 13*n - 32. Let p(z) be the first derivative of l(z). Factor p(j).
4*(j - 11)**2
Let j(t) be the second derivative of -147*t**5/100 - 21*t**4 - 114*t**3/5 - 48*t**2/5 - 13*t + 1. Factor j(r).
-3*(r + 8)*(7*r + 2)**2/5
Let m(o) = -o**3 + 12*o**2 - 59*o + 530. Let h be m(11). Find v such that -1/2*v**3 + 0 + 1/2*v**5 + 1/2*v**h - 1/2*v**4 + 0*v = 0.
-1, 0, 1
Let a(o) be the third derivative of o**7/105 + o**6/80 - 3*o**5/40 + o**4/24 - 3*o**2 - 26. Suppose a(w) = 0. Calculate w.
-2, 0, 1/4, 1
Let k be (-2 - -14) + -1 + -4 + 3. Let f be (k/(-15))/((-3)/9). Factor 1/2*z**f + 0*z - 1/2.
(z - 1)*(z + 1)/2
Let h be (-164)/(-246)*(-3)/(-40). Let u(b) be the third derivative of h*b**5 + 0 + 8*b**2 + 1/4*b**4 + 1/2*b**3 + 0*b. Factor u(n).
3*(n + 1)**2
Let -35/2*m**3 - 50*m - 5/2*m**4 - 20 - 45*m**2 = 0. Calculate m.
-2, -1
Let h(b) = -14*b**3 - 386*b**2 - 2*b + 2. Let j(u) = 5*u**3 + u**2 + u - 1. Let g(i) = h(i) + 2*j(i). What is q in g(q) = 0?
-96, 0
Let l(w) be the first derivative of 15*w**4/8 + 13*w**3/2 - 9*w**2/2 + 291. Find c such that l(c) = 0.
-3, 0, 2/5
Let p be -2*(18/4)/(-3). Find r, given that 5 - 11 + 3*r**2 + p*r + 6 = 0.
-1, 0
Suppose 10*s**4 + 20*s**2 - 14*s**4 - 21*s + 53*s - 48 + 8*s**2 - 8*s**3 = 0. What is s?
-3, -2, 1, 2
Let z(j) = -j**4 + 5*j**3 - 25*j**2 - 5*j. Let m(x) = x**4 - 4*x**3 + 25*x**2 + 6*x. Let l = -81 + 76. Let q(g) = l*m(g) - 6*z(g). Factor q(h).
h**2*(h - 5)**2
Let h be (-2)/(-1) + 102/(-10) + 2. Let l = h - -139/20. Let 1/4*s**2 + l*s + 0 = 0. What is s?
-3, 0
Let h(t) be the second derivative of -t**4/18 - 13*t**3/9 + 2*t + 6. Determine x, given that h(x) = 0.
-13, 0
Let z(w) be the second derivative of -w**6/50 + 21*w**5/50 - 57*w**4/20 + 18*w**3/5 + 162*w**2/5 + 4*w - 3. Suppose z(d) = 0. Calculate d.
-1, 3, 6
Let d(u) be the third derivative of u**5/60 - 11*u**4/6 + 242*u**3/3 + 119*u**2. Factor d(g).
(g - 22)**2
Let n(l) = 9*l**2 + 12*l - 6. Let i(r) = -46*r**2 - 61*r + 29. Let m(f) = -2*i(f) - 11*n(f). Determine b, given that m(b) = 0.
-2, 4/7
Factor -1/6*z**2 + 22/3*z + 15/2.
-(z - 45)*(z + 1)/6
Let f(c) = c**3 + 9*c**2 + 7*c - 5. Let h be f(-8). Let o(s) = s**2 + 2*s - 2. Let x be o(2). Suppose -41 + x*u**4 - 3*u**h + 3*u - 6*u**2 + 41 = 0. What is u?
-1, 0, 1/2, 1
Let q(o) be the second derivative of o**5/10 + 7*o**4/12 + 4*o**3/3 + 3*o**2/2 + 5*o - 47. Factor q(r).
(r + 1)**2*(2*r + 3)
Let f = 38733/11 - 3521. Factor -20/11*d - 50/11 - f*d**2.
-2*(d + 5)**2/11
Let b(m) be the second derivative of -m**7/336 - m**6/240 + m**5/160 + m**4/96 - 2*m - 4. Factor b(p).
-p**2*(p - 1)*(p + 1)**2/8
Suppose 5*h + 7 = 27. Solve 0*b**3 - h*b**3 - 25*b + 2*b**3 - 10 - 20*b**2 - 3*b**3 = 0 for b.
-2, -1
Let r(t) be the first derivative of 2*t**3/21 - 5*t**2/7 - 12*t/7 + 229. Determine k, given that r(k) = 0.
-1, 6
Let f(i) = -32*i**4 + 14*i**3 - 30*i**2 + 18*i - 10. Let z(m) = 3*m**4 + 1. Let t(r) = 2*f(r) + 20*z(r). Determine n so that t(n) = 0.
0, 1, 3
Let z(v) be the first derivative of -v**5 + 205*v**4/4 - 2200*v**3/3 + 1000*v**2 + 197. What is s in z(s) = 0?
0, 1, 20
Suppose -j = 3*j - 5*v - 1, 0 = -2*v + 6. Let m be 0 + (1/1)/(-8)*-2. Find c such that 9/2*c**2 + 5*c + 2 + 7/4*c**3 + m*c**j = 0.
-2, -1
Let i(j) be the second derivative of -j**5/4 - 5*j**4/4 + 190*j. Solve i(c) = 0.
-3, 0
Let o be (-1)/(-3) - (-77)/441*3. Find d, given that 0 - o*d**4 + 10/7*d**3 - 2/7*d - 2/7*d**2 = 0.
-1/3, 0, 1
Let o(u) = -3*u**3 + 6*u**2 - 4*u - 4. Let b(x) = 7*x**3 - 13*x**2 + 8*x + 7. Let h(y) = -4*b(y) - 9*o(y). Let h(c) = 0. What is c?
-2, 2
Determine a so that -1/6*a**2 + 9*a - 52/3 = 0.
2, 52
Let d(m) = 4*m - 30. Let i be d(9). Suppose -5*s + 8 = 5*w - 6*s, -s + i = 2*w. Solve 4/11*f - 14/11*f**5 + 18/11*f**4 + 10/11*f**3 - 18/11*f**w + 0 = 0.
-1, 0, 2/7, 1
Let m(b) be the second derivative of 0*b**2 + 1/18*b**4 + 0 - 12*b - 1/60*b**5 - 1/90*b**6 + 0*b**3. Factor m(f).
-f**2*(f - 1)*(f + 2)/3
Suppose -7*o + 16 + 5 = 0. Let h(c) be the first derivative of c**2 + 0*c + 3 + 2/3*c**o. Factor h(y).
2*y*(y + 1)
Let x(b) be the second derivative of b**7/22680 - b**6/405 + 8*b**5/135 + 9*b**4/4 + 24*b. Let z(d) be the third derivative of x(d). Factor z(p).
(p - 8)**2/9
Factor 3*a**3 - 131*a**2 + a**3 - 84*a + 43*a**2 - 8*a**3.
-4*a*(a + 1)*(a + 21)
Let u be -6 - ((-10)/2 + (5160/(-36))/10). Solve 2/3*y**2 + u*y + 200/3 = 0 for y.
-10
Suppose -q = -3*h - 11, 2*h + 0 - 46 = -2*q. Let p(d) = 16*d**3 - 16*d**2 + 8*d - 20. Let o(y) = y**3 - y**2 - 1. Let i(s) = q*o(s) - p(s). Factor i(z).
4*z*(z - 2)*(z + 1)
Let a(z) = -z**4 - 172*z**3 + 502*z**2 - 474*z + 165. Let q(o) = -2*o**4 - 172*o**3 + 504*o**2 - 472*o + 166. Let r(p) = 6*a(p) - 5*q(p). Factor r(s).
4*(s - 40)*(s - 1)**3
Let r(d) be the first derivative of 0*d**3 + 2*d - 7/6*d**2 - 9 + 1/12*d**4. Determine g, given that r(g) = 0.
-3, 1, 2
Let b = -81 - -86. Let d be (1 + (-5)/b)/(0 - 1). Suppose -1/3*j**3 + 0 + d*j - 2/3*j**2 = 0. Calculate j.
-2, 0
Let t(o) be the third derivative of 11*o**6/40 + o**5/10 - 11*o**4/8 - o**3 + 395*o**2. Factor t(n).
3*(n - 1)*(n + 1)*(11*n + 2)
Let b(a) = a**3 - a**2 + 3. Let p(y) = 9*y**3 + 63*y**2 + 160*y - 1185. Let g(r) = 5*b(r) - p(r). Factor g(x).
-4*(x - 3)*(x + 10)**2
Let -173*b**2 + 4*b - 208*b**2 + 536*b**2 - 191*b**2 + 1225*b**5 - 59*b**3 + 630*b**4 = 0. Calculate b.
-2/5, 0, 1/7
Let y(n) be the second derivative of -2*n**7/21 - 4*n**6/15 + 2*n**4/3 + 2*n**3/3 - 18*n + 1. What is r in y(r) = 0?
-1, 0, 1
Let q(l) = 8*l**2 - 6*l + 12. Suppose a - 3*s = -4, 0 = -5*a - 3*s + 18 + 52. Let f(y) = -15*y**2 + 13*y - 25. Let k(o) = a*q(o) + 6*f(o). Factor k(p).
-2*(p - 3)**2
Let j = 188/3 + -2441/39. Let l(k) be the second derivative of 0 - 4/13*k**2 + 4*k - j*k**3 + 1/78*k**4. Suppose l(z) = 0. Calculate z.
-1, 4
Suppose -3/4*c**2 - 18*c + 39 = 0. What is c?
-26, 2
Suppose -4*j = -3*b + 18, 16 + 14 = 5*b + j. Let f(n) be the third derivative of -3*n**2 + 