 -o**5/15 - 11*o**4/6 - 365*o**2. Factor j(r).
-4*r*(r + 11)
Suppose 0 = 3*n + 6, 8 = 3*f - 153*n + 149*n. Factor -2/5*w**5 + 0*w + 6/5*w**3 + 4/5*w**2 + 0*w**4 + f.
-2*w**2*(w - 2)*(w + 1)**2/5
Let x(d) be the third derivative of d**5/330 + 10*d**4/33 - 2*d**2 + 3. Factor x(k).
2*k*(k + 40)/11
Let g(w) = -2*w - 22. Let l be g(-12). Suppose t + t = -4*o, 0 = l*t + o. Factor 1/2*k**2 + t - 1/2*k**3 + 1/2*k**5 + 0*k - 1/2*k**4.
k**2*(k - 1)**2*(k + 1)/2
Let r(x) be the third derivative of -x**5/270 + 121*x**4/27 - 58564*x**3/27 - 310*x**2 - 1. Find h, given that r(h) = 0.
242
Let v(u) = -2*u**3 + 2*u**2 - 2. Let d be v(-1). Factor -2 + 4*l - 2 - l**d + 1.
-(l - 3)*(l - 1)
Suppose -2*q + 4 = 0, 5*q = -2*d + 3*q + 18. Let x(c) = c**2 + 3*c - 3. Let w be x(2). Factor -t**2 + t + d*t**2 - w*t**2.
-t*(t - 1)
Let i(s) = -s**2 - 4*s + 1. Let z be i(-5). Let u be (-1)/z + (-35)/(-20). Solve -8*j**2 - 4*j**4 + 5*j**2 + u*j**2 + 5*j**2 = 0.
-1, 0, 1
Let i(s) = -8*s**4 + 218*s**3 + 460*s**2 + 208*s - 52. Let q(x) = -x**4 + 24*x**3 + 51*x**2 + 23*x - 6. Let k(l) = 6*i(l) - 52*q(l). Solve k(y) = 0.
-13, -1, 0
Let h = -7 - -9. Let i be h + (-16)/7 - (-11)/14. Factor -5/4*w + 1/4*w**3 - i + 1/4*w**4 - 3/4*w**2.
(w - 2)*(w + 1)**3/4
Solve 46/5*z**4 + 2/5*z**5 + 0 + 162/5*z**3 + 194/5*z**2 + 76/5*z = 0.
-19, -2, -1, 0
Suppose -31*r = -165 + 103. Let c be 24/18 + (0 - 1). Find y, given that c*y + 1/3*y**r + 0 = 0.
-1, 0
Let m(h) be the second derivative of h**4/42 - 160*h**3/21 + 6400*h**2/7 + 2*h + 58. What is l in m(l) = 0?
80
Let n(g) be the third derivative of -g**5/12 - 5*g**4/3 + g**2 + 93*g. Let n(q) = 0. What is q?
-8, 0
Let u(v) = -9*v**3 + 9*v**2 + 29*v - 11. Let r be ((-2)/6)/(10/(-330)). Let d(k) = 2*k**3 - 2*k**2 - 6*k + 2. Let g(p) = r*d(p) + 2*u(p). Factor g(t).
4*t*(t - 2)*(t + 1)
Suppose -s - 3 = -2*s. Suppose -a - 12 = -5*u - 0, 4*u - s = 3*a. Find l, given that -l**2 - 9*l**u - 3*l + 7*l**4 + 3*l**2 + 3*l = 0.
0, 2/7, 1
Factor -36*f**3 - 41*f**2 - 2*f**4 - 62*f**2 - 16*f**2 - 43*f**2.
-2*f**2*(f + 9)**2
Let f be ((-25)/15 - -3)/((-16)/(-60)). Solve -4/3*x**4 + 0 + 0*x**3 + 4/3*x**f + 0*x**2 + 0*x = 0.
0, 1
Suppose -3*j - 72 = -21*j. Let l(w) be the first derivative of -1/5*w**3 - 9/25*w**5 + 9/20*w**j + 1/10*w**6 + 0*w + 3 + 0*w**2. Suppose l(a) = 0. Calculate a.
0, 1
Let n = 2875 + -2871. Let 2/13*m**3 + 0 + 0*m + 0*m**2 + 2/13*m**5 - 4/13*m**n = 0. What is m?
0, 1
Let l(w) be the second derivative of 112/9*w**4 + 3/7*w**7 + 12*w**5 + 11*w + 0*w**2 + 24/5*w**6 + 0 + 16/3*w**3. Let l(n) = 0. What is n?
-6, -2/3, 0
Let w(k) be the first derivative of -98/25*k**5 + 0*k + 14/5*k**4 - 8/15*k**3 - 24 + 0*k**2. Factor w(o).
-2*o**2*(7*o - 2)**2/5
Let x be (-12 - -6) + (-15 - 731/(-34)). Solve -3/2*z**2 + x*z**3 - 1/2*z**5 + 0 + 0*z + 3/2*z**4 = 0.
-1, 0, 1, 3
Let i = -79024/3 + 26342. Factor -4/3*q**3 + 0 + i*q**2 + 2/3*q**4 + 0*q.
2*q**2*(q - 1)**2/3
Let u be (-870)/(-144) + -4 + -2. Let x(f) be the third derivative of 0*f**3 - 10*f**2 + 0 + u*f**4 + 0*f - 1/60*f**5. Determine q, given that x(q) = 0.
0, 1
Suppose 0 = 5*t - 2*p + 34, -5*t + 4*t - 4*p - 20 = 0. Let c be (-32)/12 + t/(-12) - -4. Determine a so that -c*a - 8/11 + 6/11*a**2 = 0.
-1/3, 4
Let g be (-10)/(-45) - 70/(-9). Let u be g/10 - 2/5. Let u*h**2 + 4/5*h + 2/5 = 0. What is h?
-1
Let w(l) be the first derivative of -169*l**6/10 + 1872*l**5/25 - 1923*l**4/20 + 94*l**3/5 + 126*l**2/5 + 24*l/5 - 140. Find r such that w(r) = 0.
-2/13, 1, 2
Suppose 7*t - 13*t = -12*t. Let v(g) be the third derivative of -1/315*g**7 + t*g**6 + 0*g**5 + 0*g + g**2 + 0*g**3 + 0 + 5/1008*g**8 + 0*g**4. Solve v(r) = 0.
0, 2/5
Suppose -c = -10*c - 24 + 51. Solve 3*d + 11/4*d**2 + 3/4*d**c + 1 = 0 for d.
-2, -1, -2/3
Let l(w) be the third derivative of -5*w**7/42 + w**6/3 + 19*w**5/12 + 5*w**4/4 - 66*w**2. Factor l(z).
-5*z*(z - 3)*(z + 1)*(5*z + 2)
Let w(j) be the second derivative of 0 + 0*j**2 + 1/16*j**4 - 1/8*j**3 - 2*j. Factor w(x).
3*x*(x - 1)/4
Let o(c) be the third derivative of 16/15*c**3 + 0 - 2/15*c**4 + 1/150*c**5 + 0*c + 8*c**2. Factor o(r).
2*(r - 4)**2/5
Suppose 0 = -8*r + 747 - 723. Let j(o) be the second derivative of -2/7*o**r - 9/14*o**2 + 0 + 7*o - 1/28*o**4. Suppose j(v) = 0. What is v?
-3, -1
Let w(d) be the third derivative of -d**7/280 - d**6/60 + 11*d**3/6 - 10*d**2. Let s(u) be the first derivative of w(u). Let s(o) = 0. Calculate o.
-2, 0
Let w be (-1 - (-34)/(-20))/(12/470). Let g = w + 106. What is s in 1/2 + g*s**2 - 3/4*s = 0?
1, 2
Let x(f) = -24*f**3 + 2*f + 1. Suppose -2*w - 7 = 5*q, -4*w - 8 = 3*q + w. Let l(s) = s**2 - s + 1. Let p(d) = q*x(d) + l(d). Let p(v) = 0. What is v?
-3/8, 0, 1/3
Let t(b) be the second derivative of -b**4/6 + 2*b**3/15 + b - 41. Factor t(x).
-2*x*(5*x - 2)/5
Suppose 9 = -6*g + 27. Let q = -512/7 + 74. Factor -24/7*y - 22/7*y**2 - 8/7 - q*y**g.
-2*(y + 1)*(y + 2)*(3*y + 2)/7
Let c be (10 - (-12 - -12)) + -8. Solve -16/11*m**c + 6/11*m**3 + 0 + 10/11*m = 0 for m.
0, 1, 5/3
Let t(a) be the first derivative of -5*a**4/4 - 500*a**3/3 - 12985*a**2/2 - 24010*a + 985. Factor t(w).
-5*(w + 2)*(w + 49)**2
Let r = 214 + -212. Suppose -2*i + r*f - 2 = 0, 3 = 2*i + 4*f - f. Solve 3/4*v**2 + i + 3/2*v = 0.
-2, 0
Suppose 9 + 3/4*k**5 - 21*k + 51/4*k**2 + 9/4*k**3 - 15/4*k**4 = 0. Calculate k.
-2, 1, 2, 3
Let s(h) be the second derivative of 729*h**7/56 + 27*h**6/10 + 3*h**5/20 - 30*h. Factor s(y).
3*y**3*(27*y + 2)**2/4
Let k(f) be the third derivative of f**2 + 0*f + 1/2*f**3 + 1/900*f**6 + 0*f**4 + 0 + 0*f**5. Let w(y) be the first derivative of k(y). Factor w(g).
2*g**2/5
Let o(n) be the third derivative of n**6/270 - n**5/45 + n**4/27 - 205*n**2. Factor o(v).
4*v*(v - 2)*(v - 1)/9
Suppose -4*s = -g - 17, 3*s - 9 = 5*s + 3*g. Suppose -2*m = 20*m + 109*m. Suppose -1/3*b**s + 0 + 1/3*b + m*b**2 = 0. Calculate b.
-1, 0, 1
Let i be (-7196)/(-224) + -2 + 1. Let v = -31 + i. Factor 0 - 1/2*q + v*q**3 - 3/8*q**2.
q*(q - 4)*(q + 1)/8
Let k(s) be the second derivative of s**7/14 - 3*s**6/10 + 3*s**5/10 + s**4/2 - 3*s**3/2 + 3*s**2/2 - 4*s - 3. Factor k(j).
3*(j - 1)**4*(j + 1)
Let w be 201/420 - (-9)/(-21). Let o(z) be the first derivative of 0*z + 2/15*z**3 - 2 - 3/10*z**2 + w*z**4. Factor o(n).
n*(n - 1)*(n + 3)/5
Let q = -142 - -147. Suppose -f = -2*o - 10, q*f + 2*o - 6 = -4. Factor 1/3*z + 1/3*z**f - 2/3.
(z - 1)*(z + 2)/3
Let 7/12*f**4 - 1/6*f**3 - 7/3*f**2 + 0 + 2/3*f = 0. Calculate f.
-2, 0, 2/7, 2
Let o be 0/(-1)*(-2)/(-3 - -1). Let f be 68/12 - o - 5. Factor 2/3*k**4 + 0*k + 0 + f*k**3 - 2/3*k**2 - 2/3*k**5.
-2*k**2*(k - 1)**2*(k + 1)/3
Let -4/7*o**3 + 10/7 + 24/7*o**2 - 2/7*o**4 - 4*o = 0. Calculate o.
-5, 1
Suppose -11/3*c**2 + 3*c + 6 - 1/3*c**3 + 1/3*c**4 = 0. What is c?
-3, -1, 2, 3
Let c(y) be the first derivative of y**7/294 + y**6/210 - y**5/140 - y**4/84 + 17*y + 17. Let q(j) be the first derivative of c(j). Find l, given that q(l) = 0.
-1, 0, 1
Let u be 2 + 1 + -4*153/(-6). Let f be 32/(-112) - (-44)/u. Solve -16/15 + 8/5*j - 4/5*j**2 + f*j**3 = 0 for j.
2
Let o = -96 + 96. Let h be o/(4/(-8)*2*1). Factor -2/3*z**2 - 2/3*z + h + 2/3*z**3 + 2/3*z**4.
2*z*(z - 1)*(z + 1)**2/3
Let m(v) be the third derivative of v**8/35 + 62*v**7/525 - 3*v**6/10 - 7*v**5/5 - 47*v**4/30 - 4*v**3/5 + 2*v**2 - 8*v. Solve m(u) = 0.
-3, -1, -1/3, -1/4, 2
Let p = -8 + 13. Suppose -4*y - 22 = -p*y. Solve -y*i**5 + 5*i + 24*i**5 + 2*i**4 - 5*i = 0 for i.
-1, 0
Suppose -865 = -21*d - 802. Let 15/7*z + 6/7 - d*z**2 = 0. What is z?
-2/7, 1
Let t(c) be the first derivative of -c**6/2 - 37*c**5/5 - 451*c**4/12 - 689*c**3/9 - 220*c**2/3 - 100*c/3 - 136. Suppose t(l) = 0. What is l?
-5, -1, -2/3
Factor r**2 - 68*r - 139*r**2 - 9*r**2 - 6 + 221*r.
-3*(r - 1)*(49*r - 2)
Factor -4/3 - 2/3*x + 2/3*x**2.
2*(x - 2)*(x + 1)/3
Let k(t) be the second derivative of 8*t - 1/2*t**5 + 0*t**4 + 5/3*t**3 + 1/6*t**6 - 5/2*t**2 + 0. Suppose k(z) = 0. Calculate z.
-1, 1
Determine q so that 58/7*q**3 + 2/7*q + 0 - 32/7*q**2 - 4*q**4 = 0.
0, 1/14, 1
Let h(w) = -154*w**2 + 888*w - 114. Let c(g) = -22*g**2 + 127*g - 15. Let x(i) = 44*c(i) - 6*h(i). Factor x(p).
-4*(p - 6)*(11*p + 1)
What is l in 0 - 104/7*l**3 + 2/7*l**4 + 10*l**2 + 24/7*l + 8/7*l**5 = 0?
-4, -1/4, 0, 1, 3
Let w be -1 + ((-32)/(-12))/((-4