) - (0 + -7 - -2). Factor 2/25*l**3 + 0 - h*l - 8/25*l**2.
2*l*(l - 5)*(l + 1)/25
Let h(d) be the second derivative of 7*d**6/6 + 9*d**5/4 - 25*d**4/12 - 15*d**3/2 - 5*d**2 + 153*d. Suppose h(s) = 0. What is s?
-1, -2/7, 1
Let c be (6*-1 - 3)*(2 + -3). Factor -7*p**2 + 5*p**4 + 2*p**4 + 2*p + c*p**5 + 0*p**4 - 11*p**3.
p*(p - 1)*(p + 1)**2*(9*p - 2)
Let v(a) be the second derivative of 243*a**5/20 - 3*a**4 + 2*a**3/9 - 88*a. Factor v(z).
z*(27*z - 2)**2/3
Let g = 37893/4 - 9473. Suppose 16 + g*f**2 + 4*f = 0. Calculate f.
-8
Let k be -1 + -4 - 7/((-14)/(-4)). Let b be (k/(245/(-28)))/((-6)/(-5)). Determine o so that -2/3*o + b*o**2 + 0 = 0.
0, 1
Suppose 0 = n - 2*n - 1, -5 = -3*u - 4*n. Suppose -8 = -u*z + z. Let -z*v**2 + 29*v**3 - v + 4*v**4 + 0*v - 28*v**3 = 0. What is v?
-1, -1/4, 0, 1
Let m(b) be the first derivative of 7 + 3*b - b**5 + 4*b**2 + 10/3*b**3 - 2/3*b**4. Let k(g) be the first derivative of m(g). Determine p, given that k(p) = 0.
-1, -2/5, 1
Let m(d) be the second derivative of 3*d**6/25 - 249*d**5/50 - 172*d**4/15 - 116*d**3/15 + 9*d - 7. Let m(n) = 0. What is n?
-2/3, 0, 29
Let o(f) be the second derivative of -5*f**7/189 - 7*f**6/135 - f**5/45 + 10*f + 2. Factor o(n).
-2*n**3*(n + 1)*(5*n + 2)/9
Let n(o) be the first derivative of o**6/120 - o**5/12 + o**4/6 - 3*o**2/2 + 6. Let z(p) be the second derivative of n(p). Find x such that z(x) = 0.
0, 1, 4
Let i(f) = f**4 - 38*f**3 + 63*f**2 + 32*f - 61. Let r(l) = -8*l**4 + 264*l**3 - 440*l**2 - 224*l + 428. Let v(g) = -20*i(g) - 3*r(g). Factor v(u).
4*(u - 4)**2*(u - 1)*(u + 1)
Let c be 1 + 1*-4 - -802*30/300. Factor -32/5 - 208/5*j - c*j**2 - 18/5*j**4 - 156/5*j**3.
-2*(j + 4)**2*(3*j + 1)**2/5
Suppose 0*k + 1140 = 6*k. Let u = 1712/9 - k. Suppose 0 - 2/3*j**2 + u*j = 0. What is j?
0, 1/3
Let r(d) be the first derivative of d**4/36 - d**3/9 - 2*d**2/9 + 4*d/3 - 84. Solve r(l) = 0 for l.
-2, 2, 3
Suppose -6*a + 3 = -3*a. Suppose d**4 + 5 - 4*d**4 - a + 5*d**4 + 18*d**2 + 14*d + 10*d**3 = 0. Calculate d.
-2, -1
Let x(z) be the third derivative of -z**6/160 - 3*z**5/80 - 167*z**2. Factor x(m).
-3*m**2*(m + 3)/4
Let t be 7*10/(-15) + 6. Let c(m) be the first derivative of 0*m - t*m**3 + 2*m**2 + 4/5*m**5 + 4 - m**4. Factor c(l).
4*l*(l - 1)**2*(l + 1)
Factor -15/2*p**3 + 0*p**2 - 5*p**4 + 0*p + 0 + 5/2*p**5.
5*p**3*(p - 3)*(p + 1)/2
Factor 1082/3*q**2 + 3025/9 - 6160/9*q - 112/9*q**3 + 1/9*q**4.
(q - 55)**2*(q - 1)**2/9
Suppose 13*w**4 + 12*w**3 - 3*w**2 - 18*w + 10*w**4 + 12*w**4 + 2*w**4 - 40*w**4 = 0. Calculate w.
-1, 0, 2, 3
Find r such that -14*r**2 + 39*r + 2*r**2 + 11*r**2 + 4*r**2 = 0.
-13, 0
Let l = -101294/5 - -20259. Factor -2/5 + l*c**3 - 1/5*c + 2/5*c**2.
(c - 1)*(c + 1)*(c + 2)/5
Let u(i) be the second derivative of -1/12*i**3 - 20*i + 0*i**2 + 0 + 1/16*i**4. Factor u(c).
c*(3*c - 2)/4
Let x be -21 + 45 + -11 - 1/2. Factor -35 - x*r**2 + 185/2*r.
-5*(r - 7)*(5*r - 2)/2
Let w(m) be the third derivative of 7*m**8/108 + 26*m**7/135 - 76*m**6/135 + 16*m**5/45 + m**2 + 17. Determine d so that w(d) = 0.
-3, 0, 4/7
Factor 4/3*j**2 - 32 - 8/3*j.
4*(j - 6)*(j + 4)/3
Suppose -14*p + 25 = -3. Let x(j) be the first derivative of 0*j**5 + 0*j + 1/4*j**4 - 1/12*j**6 - 1/4*j**p + 0*j**3 + 1. Find y such that x(y) = 0.
-1, 0, 1
Factor -l**3 - 2/3*l**2 + 1/6*l**5 - 1 + 13/6*l + 1/3*l**4.
(l - 1)**3*(l + 2)*(l + 3)/6
Let c(l) = l**2 + 2*l. Let y be c(-2). Suppose 5*f - 5*i - 60 = y, 3*i + 59 + 1 = 5*f. Factor -f + 4 + 5*g**2 - g**2 + 4*g + 0*g**2.
4*(g - 1)*(g + 2)
Let i(z) be the second derivative of z**4/4 + 2*z**3 + 9*z**2/2 + 80*z. Factor i(y).
3*(y + 1)*(y + 3)
Let t(d) be the third derivative of d**6/40 - d**5/10 - 3*d**4/8 - 34*d**2 + 5*d. Solve t(w) = 0.
-1, 0, 3
Let b be ((-60)/16 - -4)*(-4)/(-9). Factor b*t**2 + 5/9*t**3 + 4/9*t**4 + 0 + 0*t.
t**2*(t + 1)*(4*t + 1)/9
Let n be 1 - (-1100)/(-234) - 6/(-2). Let w = n - -12/13. Factor w*d**2 - 8/9*d + 2/3.
2*(d - 3)*(d - 1)/9
Let x(c) = -c**2 - 57*c - 651. Let m be x(-41). Factor 0*s**3 - 3/4*s**2 - 3/8*s**m + 3/8*s + 3/4*s**4 + 0.
-3*s*(s - 1)**3*(s + 1)/8
Let q(h) = -7*h**2 + 61*h - 312. Let w(x) = 34*x**2 - 310*x + 1560. Let k(v) = 14*q(v) + 3*w(v). Factor k(j).
4*(j - 13)*(j - 6)
Let b(m) = -m**2 + 2*m + 39. Let j be b(-5). Let p be (-32)/30*(-6)/(-8) + j. Suppose 28/5*o**3 + 12/5*o**4 - p*o + 0*o**2 + 0 = 0. What is o?
-2, -1, 0, 2/3
Let f = -34 - -31. Let j be (3 + -3 - 1)*f. Factor -2/13*i**2 + 10/13*i**j + 0*i - 8/13*i**4 + 0.
-2*i**2*(i - 1)*(4*i - 1)/13
Let y(j) be the third derivative of j**9/40320 - j**8/4480 + j**7/2240 - 31*j**4/24 + 35*j**2. Let a(m) be the second derivative of y(m). Factor a(h).
3*h**2*(h - 3)*(h - 1)/8
Let d be 8/(-14) - ((-7590)/(-70) + 8). Let q = d - -588/5. Find y such that 0 - q*y + 0*y**2 + 3/5*y**3 = 0.
-1, 0, 1
Suppose 2*z - 10 = -4. Factor 5*b - 40*b + z*b**2 + 23*b.
3*b*(b - 4)
Let x(g) = -5*g**4 - 4*g**3 + 12*g**2 + 30*g - 48. Let z(f) = -7*f**4 - 3*f**3 + 13*f**2 + 31*f - 46. Let r(l) = 4*x(l) - 3*z(l). Factor r(i).
(i - 3)**3*(i + 2)
Determine s so that -29*s + 849 - 22*s - 849 - 3*s**2 = 0.
-17, 0
Suppose 3*t + 5*j = 4*t - 23, -3*t = 5*j + 11. Suppose t*h + 5*a - 26 = 0, 0*h = -2*h + a. Factor 364*m**3 - 363*m**3 + 4*m + h*m**2 - 3*m.
m*(m + 1)**2
Find d such that 7922 - 800*d + 644*d**2 - 10634 - 29288 - 649*d**2 = 0.
-80
Let p(g) be the second derivative of g**8/420 + g**7/210 - g**6/45 + 14*g**3/3 - 17*g. Let y(t) be the second derivative of p(t). Let y(k) = 0. Calculate k.
-2, 0, 1
Let c be -5 + (-783)/(-152) + 63/168. Determine d so that -c*d + 26/19*d**2 - 4/19*d**3 - 12/19 = 0.
-1/2, 1, 6
Let v(t) = -27*t**3 - 21*t**2 - 24*t + 15. Let p(x) = -7*x**3 - 5*x**2 - 6*x + 4. Let s = 25 - 29. Let q(h) = s*v(h) + 15*p(h). Factor q(n).
3*n*(n + 1)*(n + 2)
Let p(a) be the second derivative of -a**5/210 - a**4/14 - 8*a**3/21 + 15*a**2 - 28*a. Let t(g) be the first derivative of p(g). Factor t(u).
-2*(u + 2)*(u + 4)/7
Let w(g) be the third derivative of -5*g**8/168 - 13*g**7/84 - 7*g**6/24 - 5*g**5/24 + 131*g**2. What is z in w(z) = 0?
-5/4, -1, 0
Let f be (-7)/(-3) - (-2)/3. Suppose -3 = f*s + 8*l - 4*l, 3*l = -9. Find c, given that 0*c - 4/5*c**s - 6/5*c**2 + 0 + 2/5*c**4 = 0.
-1, 0, 3
Let r(v) be the first derivative of -v**4/4 - 160*v**3 - 38400*v**2 - 4096000*v - 240. Factor r(f).
-(f + 160)**3
Let y(u) = u**2 + 2*u + 3. Let p be y(-3). Suppose p = -6*g + 8*g. Factor -12*j**3 + g*j**4 - 5*j**3 - 6*j**4 + 23*j**3.
-3*j**3*(j - 2)
Factor -3/5*y - 1/5*y**2 + 4/5.
-(y - 1)*(y + 4)/5
Let s = 31 + -29. Find z, given that 12 - 12*z**s + 4*z**3 + 28*z + 9*z**2 + 23*z**2 = 0.
-3, -1
Let r(j) be the third derivative of 2*j**6/45 + 34*j**5/45 - 77*j**4/24 + 5*j**3 + 23*j**2 - 3. Suppose r(s) = 0. Calculate s.
-10, 3/4
Let k be 0/(-9 + 10 + -3). Let s(n) be the second derivative of 0*n**3 + k*n**2 + 2*n + 0 + 1/16*n**4 + 1/120*n**6 - 1/20*n**5. Determine u so that s(u) = 0.
0, 1, 3
Let z(g) be the second derivative of -1/18*g**4 + 0 + 2/9*g**3 - 16*g + 0*g**2 - 1/30*g**5. Find o, given that z(o) = 0.
-2, 0, 1
Find v such that 30*v**4 + 8*v**2 - 349*v**3 - 22*v**2 - 56*v**2 + 15*v + 414*v**3 = 0.
-3, 0, 1/3, 1/2
Factor 27*u**2 + u**4 - 263*u + 12*u**3 - 3*u**3 - 4*u**4 + 278*u.
-3*u*(u - 5)*(u + 1)**2
Let q = -42 + 76. Let x = q - 18. Factor -7 + x - 3*c**2 - 6.
-3*(c - 1)*(c + 1)
Factor 0 - 9*v - 3/2*v**2.
-3*v*(v + 6)/2
Let x(k) = -18*k**2 + 3*k + 10. Let y be x(-2). Let u = 342/5 + y. Determine i so that -u*i - 1/5*i**2 + 0 = 0.
-2, 0
Let y be ((-52)/40)/13*(-3 - (3 + -4)). Let 0 - 2/5*l**2 + 3/5*l**4 + y*l**3 + 0*l = 0. Calculate l.
-1, 0, 2/3
Factor -5*o**2 + 6*o**2 + 5*o**2 - 16012*o - 3*o**2 + 16258*o.
3*o*(o + 82)
Let c(m) be the first derivative of -3*m + 4 - m**3 - 1/12*m**4 - 9/2*m**2. Let i(j) be the first derivative of c(j). Factor i(o).
-(o + 3)**2
Let v be (-2)/42*-6 + (-4765)/16800. Let i(m) be the third derivative of -1/240*m**5 - 1/96*m**4 - 6*m**2 + 0 + v*m**6 + 1/840*m**7 + 0*m**3 + 0*m. Factor i(c).
c*(c - 1)*(c + 1)**2/4
Let v(o) be the second derivative of 1/40*o**5 + 0*o**3 - o**2 - 1/80*o**6 + 0 + 1/8*o**4 + 8*o. Let i(d) be the first derivative of v(d). Factor i(l).
-3*l*(l - 2)*(l + 1)/2
Let x(k) be the first derivative of 0*k**5 + 5 + 0*k**2 - 3/32*k**4 + 0*k + 