 Let i(q) be the third derivative of l(q). Factor i(t).
-3*(t - 1)*(3*t + 1)/5
Let i(g) be the third derivative of g**5/6 + g**4/4 + 6*g**2 - 6. Let i(z) = 0. Calculate z.
-3/5, 0
Let w(z) be the first derivative of -z**4/22 - 4*z**3/11 - 9*z**2/11 + 54. Factor w(x).
-2*x*(x + 3)**2/11
Let d(m) be the second derivative of m**9/8064 - m**8/1120 + m**7/448 - m**6/480 + 5*m**3/3 - 15*m. Let z(r) be the second derivative of d(r). Factor z(w).
3*w**2*(w - 2)*(w - 1)**2/8
Let q be (-6)/(-14) - 134/378. Let f(s) be the first derivative of 0*s**2 - q*s**3 + 6 + 2/9*s. Factor f(z).
-2*(z - 1)*(z + 1)/9
Let b(n) be the first derivative of 2*n**6/3 + 12*n**5/5 - n**4 - 44*n**3/3 - 24*n**2 - 16*n + 60. Factor b(p).
4*(p - 2)*(p + 1)**3*(p + 2)
Suppose -24*v**2 - 4*v**5 - 28*v**3 - 2*v**4 + 26*v**4 + 32*v - 4*v**2 + 4*v**2 = 0. What is v?
-1, 0, 1, 2, 4
Let h = -110 + 45. Let k be h/(-25) + 10/25. Factor -2/3 - 4/3*b**2 - 2/3*b**5 + 2*b + 2*b**4 - 4/3*b**k.
-2*(b - 1)**4*(b + 1)/3
Let p(u) be the third derivative of 1176*u**5/65 - 14*u**4/13 + u**3/39 - 115*u**2 + 1. Solve p(s) = 0 for s.
1/84
Let b(f) = 5*f - 17. Let y be b(13). Suppose -o + 1 = -3*m + o, 5*o - 28 = -m. Factor m*l**2 + y + l - 42 - 2*l + 10*l.
3*(l + 1)*(l + 2)
Let d(o) be the second derivative of 1/3*o**4 - 1/3*o**3 + 14*o + 1/8*o**2 + 0. Factor d(b).
(4*b - 1)**2/4
Let -169*x + 165 + 334*x - 5*x**2 - 325*x = 0. Calculate x.
-33, 1
Let u = 1589 - 6909/4. Let l = 139 + u. Factor 1/2 - l*t**3 - t**2 + 1/4*t.
-(t + 1)**2*(3*t - 2)/4
Suppose 39*k - 24*k = 23 + 22. What is f in -28/3*f**k - 4 + 4*f**2 + 28/3*f = 0?
-1, 3/7, 1
Find c such that 33*c**3 + c**5 - 16*c - 20*c**2 + 3*c**5 - 10*c**4 - 53*c**3 + 30*c**4 + 32*c**3 = 0.
-4, -1, 0, 1
Let p be 21/(-3) + (-115)/(-15). Let c(x) be the first derivative of 2/9*x**3 + 0*x + 2 + p*x**2. Factor c(q).
2*q*(q + 2)/3
Let y(m) be the second derivative of m**5/50 + m**4/15 - 7*m**3/15 + 4*m**2/5 + 319*m. Determine t so that y(t) = 0.
-4, 1
Let 3*p**3 + 2*p**3 - 383*p**2 - 2*p**3 + 206*p**2 = 0. What is p?
0, 59
Let g(p) = 3*p**2. Let j be (3/6)/((-2)/4). Let x be g(j). Find v, given that -x*v**4 + 0 - 3 + 6*v**2 - 2*v**2 + 2*v**2 = 0.
-1, 1
Let i(q) = -9*q**2 - 98*q + 221. Let y(c) = -5*c**2 - 48*c + 110. Let m(o) = 6*i(o) - 11*y(o). Solve m(b) = 0.
2, 58
Let m(h) be the third derivative of -h**5/30 - h**4/2 + 16*h**3/3 + 23*h**2. Determine c, given that m(c) = 0.
-8, 2
Let n(a) be the second derivative of -1/3*a**3 + 0*a**2 + 0 - 1/30*a**6 + 1/12*a**4 + 2*a + 1/10*a**5. Factor n(j).
-j*(j - 2)*(j - 1)*(j + 1)
Let a(m) = 7*m - 6. Let b be a(3). Suppose t = -4*t + b. Solve 4*u**2 + 10*u**t - 8*u**2 + 0*u**2 = 0 for u.
0, 2/5
Let s(h) = -3*h + 3 - h**2 + 6*h - 9*h. Let d be s(-6). What is j in 3*j**4 + 6*j - 11*j**3 + 2*j**3 + 3*j**3 - d*j**2 = 0?
-1, 0, 1, 2
Let b = 759 + -747. Let c(t) be the first derivative of 3/2*t**4 - 14 - b*t**2 + 16*t - 2/5*t**5 + 4/3*t**3. Factor c(v).
-2*(v - 2)**2*(v - 1)*(v + 2)
Determine o, given that 1/3*o**2 + 0 - 1/3*o**3 + 2*o = 0.
-2, 0, 3
Find f such that -446*f**3 + 2*f + 226*f**3 + 8 + 12*f + 4*f**2 + 218*f**3 = 0.
-1, 4
Suppose 0 + 4 = u. Factor -2*s**u - 3*s**5 + 74*s**3 + 2*s**5 - 75*s**3.
-s**3*(s + 1)**2
Let -3*o**5 + 12/5*o**3 - 6*o**2 + 6/5 + 3/5*o + 24/5*o**4 = 0. What is o?
-1, -2/5, 1
Let w be (-11 + 1 - -12)*(-7)/(-16). Let q(v) be the first derivative of 13/16*v**4 + w*v**2 - 7 - 5/4*v**3 - 1/4*v - 1/5*v**5. Factor q(r).
-(r - 1)**3*(4*r - 1)/4
Let k(z) be the third derivative of 0 + 0*z + 0*z**3 - 7*z**2 - 1/660*z**6 + 1/33*z**4 - 2/165*z**5 + 1/1155*z**7. Factor k(n).
2*n*(n - 2)*(n - 1)*(n + 2)/11
Find m such that -108/5*m - 21 - 3/5*m**2 = 0.
-35, -1
Suppose -8*w - 60 = 68. Let g be -1 + 0 + 3 + 8/w. Determine b, given that -1/2*b**5 - 3/2*b**3 + 0*b + g*b**4 + 0 + 1/2*b**2 = 0.
0, 1
Factor 32*j**2 - 16*j**3 + 4*j**4 - 2/5*j**5 - 32*j + 64/5.
-2*(j - 2)**5/5
Factor -196 - 2*x**2 - 2*x**2 - 45*x + 36 - 119*x.
-4*(x + 1)*(x + 40)
Let q = 59 + -57. Factor -b**q + 16*b - 1 - 5*b - 13*b.
-(b + 1)**2
Suppose -190*d**3 - 201*d**3 - 26*d**4 - 10*d**2 + 49*d**3 - 42*d**2 = 0. Calculate d.
-13, -2/13, 0
Let u be (-1 + -119 + 2)*(3 + -1). Let v be -3*(u/(-84) + -3). Find j, given that -6/7*j**2 + 2/7*j**3 + v*j + 0 = 0.
0, 1, 2
Let a(g) be the third derivative of g**8/84 - 8*g**7/105 + g**6/5 - 4*g**5/15 + g**4/6 - 65*g**2. Let a(v) = 0. Calculate v.
0, 1
Let i(u) be the third derivative of u**9/37800 + u**8/8400 + u**7/6300 - 5*u**4/8 + 7*u**2. Let m(w) be the second derivative of i(w). What is x in m(x) = 0?
-1, 0
Let v(t) be the first derivative of 2*t**3/21 - 6*t**2/7 - 2*t + 78. Factor v(r).
2*(r - 7)*(r + 1)/7
Let p = -22 - 20. Let x be 18/p*(-4)/6. Factor -12/7*g**3 - 2/7*g - 8/7*g**4 - x*g**5 - 8/7*g**2 + 0.
-2*g*(g + 1)**4/7
Let k be ((-2490)/(-900))/((-4)/(-6) + -1). Let r = -34/5 - k. Factor 3/4 + r*l + 3/4*l**2.
3*(l + 1)**2/4
Let u(v) be the second derivative of v**5/130 + 4*v**4/13 - 16*v. Factor u(c).
2*c**2*(c + 24)/13
Let j be -6 + (-32)/(8 + -12). Let p = -2 - -4. Solve -2*r**3 - r**2 + r**3 + j*r**p = 0 for r.
0, 1
Factor 3*q**4 - 28*q**2 + 17*q**3 + 15*q - 9*q**4 + 5*q**4 - 3*q**2.
-q*(q - 15)*(q - 1)**2
Let z(v) be the second derivative of -v**4/108 + 4*v**3/27 - 5*v**2/6 + 127*v. Let z(c) = 0. Calculate c.
3, 5
Let a(n) be the first derivative of -2/55*n**5 + 0*n**4 + 0*n + 2/33*n**3 + 0*n**2 - 9. Suppose a(v) = 0. Calculate v.
-1, 0, 1
Suppose 0 = -3*f - 5*l + 29, -5*l + 3 = -5*f - 2. Let n(s) be the third derivative of 0 + 1/20*s**5 + 1/8*s**4 + 0*s**f + 4*s**2 + 0*s. Factor n(a).
3*a*(a + 1)
Let g be ((-7)/(-3))/(280/360). Find h, given that 3/10*h**g - 1/10*h**4 + 1/10*h + 0 - 3/10*h**2 = 0.
0, 1
Let v(r) be the first derivative of -r**5/30 - 5*r**4/12 - 23*r**3/18 + 5*r**2/6 + 4*r - 119. Find n such that v(n) = 0.
-6, -4, -1, 1
Let m(p) be the second derivative of -p**5/180 + p**4/18 - 2*p**3/9 + 5*p**2/2 + 5*p. Let l(x) be the first derivative of m(x). Factor l(o).
-(o - 2)**2/3
Let o be (-287)/(-63)*6/(-4) - -7. Factor 0 + o*t**2 + 1/6*t.
t*(t + 1)/6
Let -11/6*b**4 - 2/3*b**2 + 4/3*b - 1/3*b**5 - 3*b**3 + 0 = 0. Calculate b.
-2, 0, 1/2
Let g = -101 + 103. Factor -o + 4*o**2 - 9*o**2 + 5 + 5*o**3 - 2*o - g*o.
5*(o - 1)**2*(o + 1)
Let k(x) = x**3 - 2*x**2 - 3*x + 3. Let n be k(3). Suppose -22 = -n*c - 16. Factor 3/2*v**c - v + 0 - 1/2*v**3.
-v*(v - 2)*(v - 1)/2
Let y(x) = 4*x**2 + 17 - 4*x**3 - 14 + 0*x**3. Let v(k) = 11*k**3 - 11*k**2 - 8. Let t(a) = 3*v(a) + 8*y(a). Find n such that t(n) = 0.
0, 1
Suppose 45*c - 102 = -12. Let j(l) be the second derivative of -1/48*l**4 + 0*l**c + 1/48*l**3 + 1/160*l**5 - 3*l + 0. Determine y so that j(y) = 0.
0, 1
Factor -765*j**3 + 825*j**3 - 2*j**4 - 9 + 309*j**2 + 9 + 5*j**4 + 252*j.
3*j*(j + 1)*(j + 7)*(j + 12)
Factor -62 + 174 + 644 - 43*o + 2*o**4 - 291*o - 476*o + 306*o**2 - 46*o**3.
2*(o - 14)*(o - 3)**3
Let f = 16214/3 + -5398. Factor f*l**2 + 16/3*l - 16/3 - 4*l**3.
-4*(l - 2)*(l + 1)*(3*l - 2)/3
Let o(b) be the third derivative of -1/15*b**5 - 1/84*b**8 + 0*b**3 + 0*b + 0 + 15*b**2 - 1/3*b**4 + 2/105*b**7 + 1/10*b**6. Suppose o(i) = 0. What is i?
-1, 0, 1, 2
Suppose -5 + 5 = 2*p. Let a(f) be the second derivative of p + f**2 + 1/3*f**4 + 2*f + 5/6*f**3 + 1/20*f**5. Solve a(g) = 0.
-2, -1
Let y(d) = d**3 + 19*d**2 - 20*d + 18. Suppose 3*o - 9 = -69. Let g be y(o). Suppose 49*s**2 - 33*s**2 - 64*s**3 + 2*s**4 + 28*s**5 + g*s**4 = 0. Calculate s.
-2, 0, 2/7, 1
Let u(q) be the first derivative of -7/3*q**2 + 2*q**3 - 4/3*q - 14. Factor u(m).
2*(m - 1)*(9*m + 2)/3
Suppose 22*r - 30*r = -8. Let t be 3 - 1 - (-9 + 0). Suppose 36*l**2 - 5 + t*l**3 + 9*l - 14*l**3 + 24*l**3 - r = 0. What is l?
-1, 2/7
Let c = 16833 - 33665/2. Factor 0 - c*x**2 - 2*x.
-x*(x + 4)/2
Let v(n) be the second derivative of n**6/12 - 5*n**5/8 - 5*n**4/24 + 25*n**3/12 + 200*n. Determine z so that v(z) = 0.
-1, 0, 1, 5
Let q = 2769 - 2766. Determine s so that -7/2*s**4 - 4 - 33*s**2 + 22*s + 37/2*s**q = 0.
2/7, 1, 2
Let i(t) be the first derivative of -t**8/11760 - t**7/1960 - t**6/840 - t**5/840 + 2*t**3 + 3. Let v(f) be the third derivative of i(f). Solve v(u) = 0.
-1, 0
Let l(r) be the first derivative of r**5/5 - 7*r**3/3 - 3*r**2 + 450. Solve l(h) = 0 for h.
-