(2*u + 1)/5
Let b(d) be the second derivative of d**5/200 + 29*d**4/120 + 56*d**3/15 + 49*d**2/5 - 23*d - 2. Find c such that b(c) = 0.
-14, -1
Suppose -2*o + 55*m - 59*m - 16 = 0, -5*o = 5*m + 15. Find l such that -3/7*l**o + 0 + 0*l = 0.
0
Let c(t) be the second derivative of t**5/40 - 11*t**4/4 + 85*t**3 + 578*t**2 - 202*t + 2. Solve c(q) = 0.
-2, 34
Let z(l) = -l**2 + 17*l - 70. Let s be z(9). Let v(g) be the first derivative of 2/5*g**5 + 1 + 2*g**s + 2*g**4 + 10/3*g**3 + 0*g. Find c, given that v(c) = 0.
-2, -1, 0
Factor 2/7*s**3 + 4/7*s**2 - 80/7*s + 128/7.
2*(s - 4)*(s - 2)*(s + 8)/7
Let i(r) be the first derivative of r**6/18 + r**5/5 - 7*r**4/12 - 3*r**3 - 3*r**2 - 346. Suppose i(z) = 0. Calculate z.
-3, -2, -1, 0, 3
Let d(m) be the first derivative of -1/3*m**2 + 0*m**3 + 1/3*m**4 - 2 + 0*m - 1/9*m**6 + 0*m**5. Factor d(c).
-2*c*(c - 1)**2*(c + 1)**2/3
Suppose 34 + 44 - 48*k**2 + 44*k**2 + 6 - 56*k + 4*k**3 + 12 = 0. What is k?
-4, 2, 3
Determine z so that 755*z + 43*z**2 + 9*z**2 - 605*z - 5*z**3 + 13*z**2 = 0.
-2, 0, 15
Suppose -419*k = 49*k - 85 - 851. Solve 0 + 1/3*w**k - 2/3*w = 0.
0, 2
Let a(c) be the first derivative of 1/3*c**3 - c**2 + 0*c - 33. Find m, given that a(m) = 0.
0, 2
Factor 2/17*x**2 + 20/17*x - 48/17.
2*(x - 2)*(x + 12)/17
Let w(g) be the second derivative of -g**4/3 - 112*g**3 - 14112*g**2 + g - 123. Suppose w(j) = 0. Calculate j.
-84
Let x be ((-3)/(-6))/(7/56). Factor 10*c**4 - 60*c**3 - 18*c**4 - 28*c**4 - x*c - 28*c**2.
-4*c*(c + 1)*(3*c + 1)**2
Suppose -35*y - 13*y**2 + 35 - y**3 + 48 - 34 = 0. What is y?
-7, 1
Let h(x) be the third derivative of -x**7/147 + x**6/30 - x**5/210 - 5*x**4/21 + 4*x**3/7 + 12*x**2 + 11. What is n in h(n) = 0?
-6/5, 1, 2
Let p(f) be the second derivative of -f**6/150 + 7*f**5/50 - 11*f**4/12 + 7*f**3/5 - 471*f. Solve p(s) = 0.
0, 1, 6, 7
Let w(s) be the second derivative of 0*s**3 + 0 + 13*s + 0*s**2 + 0*s**5 - 1/20*s**4 + 1/50*s**6. Factor w(f).
3*f**2*(f - 1)*(f + 1)/5
Let h be (-7)/((-21)/(-18))*(-5)/15. Suppose 0 = -o + 3*b + 5, -5*o + 3*o + h*b + 6 = 0. Factor -2/7 - 2/7*y**3 - 6/7*y - 6/7*y**o.
-2*(y + 1)**3/7
Let o = 4 - -38. Let o + 45*r**4 + 3 + 230*r**2 - 5*r**5 - 11*r**3 - 165*r - 139*r**3 = 0. Calculate r.
1, 3
Let t(z) be the third derivative of -z**5/15 + 8*z**4/3 + 24*z**3 - 557*z**2. Let t(n) = 0. Calculate n.
-2, 18
Determine a, given that -234*a - 240*a + 469*a + 6 + a**2 = 0.
2, 3
Let l(f) be the second derivative of 0 + 10*f + 0*f**3 - 1/55*f**5 - 1/66*f**4 - 1/165*f**6 + 0*f**2. Suppose l(t) = 0. Calculate t.
-1, 0
Suppose 2*l - 23 - 37 = 0. Let t be (40/l)/(7/9). Factor t - 36/7*w + 15/7*w**2.
3*(w - 2)*(5*w - 2)/7
Let o(a) = -a**2 + 1. Suppose -i + 3 = 5*h, 2*h - 3*h - 12 = -4*i. Let v(n) = 2*n + 1 + h - 2*n - n**2. Let x(s) = -o(s) - v(s). Factor x(y).
2*(y - 1)*(y + 1)
Let x(f) be the third derivative of f**5/12 + 35*f**4/6 + 490*f**3/3 + 89*f**2. Find i such that x(i) = 0.
-14
Suppose 6*m - 115 = m. Factor -14*s**2 + 34*s**2 + 2*s + 4*s**3 + m*s + s**3 + 10.
5*(s + 1)**2*(s + 2)
Suppose 7*t - 24 = 32. Let i be (1 - 4 - t/(-3))*0. Factor -1/5*w**3 - 2/5*w**2 + i + 0*w.
-w**2*(w + 2)/5
Let i be 4*(-21)/140 - 1543/(-1330). Let z = i - 5/38. Factor 0*p + 0*p**3 + 3/7*p**2 - z*p**4 + 0.
-3*p**2*(p - 1)*(p + 1)/7
Let z(n) be the second derivative of -n**4/2 + 13*n**3/2 - 9*n**2 - 2*n + 62. Factor z(o).
-3*(o - 6)*(2*o - 1)
Let y(i) be the third derivative of -5*i**8/672 + i**7/420 + i**6/48 - i**5/120 - 444*i**2. Solve y(g) = 0 for g.
-1, 0, 1/5, 1
Let y be (-7)/(7/(-4)) + -4. Factor 1 - 4*w**3 - 15*w + y*w**3 + 3*w + 3 + 12*w**2.
-4*(w - 1)**3
Let i(b) be the first derivative of b**4/4 + 35*b**3/12 + 23*b**2/8 - 2*b + 141. Solve i(d) = 0.
-8, -1, 1/4
Let u(v) = -2*v**3 - 63*v**2 - 32*v - 27. Let i be u(-31). Let m(h) be the second derivative of 0*h**2 + 1/60*h**5 + 0*h**i - 1/18*h**3 + 8*h + 0. Factor m(w).
w*(w - 1)*(w + 1)/3
Let y(n) be the second derivative of -25*n - 1/60*n**4 + 1/2*n**2 + 0 - 2/15*n**3. What is i in y(i) = 0?
-5, 1
Let r(m) = -m - 1. Let s(g) = 2*g**3 + 12*g**2 + 38*g + 30. Let n(b) = -28*r(b) - 2*s(b). Factor n(q).
-4*(q + 2)**3
Solve 36 - 36*a**3 + 231*a**2 - 114*a**2 - 111*a - 9*a**3 - 3*a**4 + 6*a**4 = 0 for a.
1, 12
Suppose -3*w + v + 20 = -0*w, -v - 26 = -4*w. Let h(a) be the first derivative of -8/9*a**3 + a**4 - 1 + 1/3*a**2 + 0*a + 1/9*a**w - 8/15*a**5. Factor h(m).
2*m*(m - 1)**4/3
Let p be (10/4)/(-5)*-8. Let v(g) be the second derivative of 0 + 1/2*g**p + 0*g**2 + 1/3*g**3 + 3/10*g**5 + 3*g + 1/15*g**6. Solve v(y) = 0.
-1, 0
Let 2*g + 4/9 + 14/9*g**2 = 0. What is g?
-1, -2/7
Suppose 0 = 4*w - 15 - 49. Factor 3*v**5 - 16*v**3 + w*v**3 + 3*v**4.
3*v**4*(v + 1)
Let k be -6*5/10 + 6. Factor -30*i**k - 245*i**4 - 160*i**2 + 20*i + 71*i**3 + 206*i**3 + 138*i**3.
-5*i*(i - 1)*(7*i - 2)**2
Find k such that 6/5*k**2 - 2/5*k**3 + 8/5*k + 0 = 0.
-1, 0, 4
Let r(h) be the second derivative of -3*h**5/80 - 17*h**4/16 + 10*h**3 - 63*h**2/2 - 15*h - 9. Solve r(c) = 0 for c.
-21, 2
Let u(f) be the second derivative of f**6/72 - f**5/60 - 5*f**3/2 + 7*f. Let n(j) be the second derivative of u(j). Factor n(h).
h*(5*h - 2)
Let n(d) be the third derivative of -d**5/60 + d**4/4 - 4*d**3/3 - 59*d**2 - 2. Factor n(s).
-(s - 4)*(s - 2)
Suppose p - 31*r + 9 = -28*r, 0 = 3*p + 5*r - 15. Factor 1/7*i**2 + 1/7*i**5 + 3/7*i**4 + p*i + 3/7*i**3 + 0.
i**2*(i + 1)**3/7
Let h be (-40 - -107)/(11*7) - (-4)/(-28). Suppose 8/11 - h*x + 2/11*x**2 = 0. Calculate x.
2
Let n(f) be the second derivative of 0 + 0*f**3 - 1/30*f**4 + 0*f**2 + 1/100*f**5 - 1/210*f**7 - 9*f + 1/75*f**6. Determine j, given that n(j) = 0.
-1, 0, 1, 2
Let q(v) be the third derivative of -1/4*v**4 + 3/10*v**6 + 0*v**3 + 1/10*v**7 + 0 + 0*v + 3/20*v**5 - 11*v**2. Factor q(a).
3*a*(a + 1)**2*(7*a - 2)
Factor 10/13*b**2 - 18/13 + 2/13*b**3 + 6/13*b.
2*(b - 1)*(b + 3)**2/13
Let 29*t + 20*t**2 + 3083*t**3 - 9 - 3 - 3080*t**3 = 0. Calculate t.
-4, -3, 1/3
Let a(x) be the second derivative of 2*x + 3 - 2*x**2 + 2/3*x**4 - 2/15*x**6 + 0*x**3 + 0*x**5. Factor a(d).
-4*(d - 1)**2*(d + 1)**2
Let f(n) be the third derivative of n**5/15 + 5*n**4/3 + 50*n**3/3 + 323*n**2. Factor f(s).
4*(s + 5)**2
Suppose 15*d = 3*d. Let s(q) be the second derivative of 0 + 5*q + d*q**2 - 1/4*q**4 + 1/2*q**3. Find h, given that s(h) = 0.
0, 1
Let o(b) be the second derivative of -b**6/3 - 17*b**5/20 + b**4/2 + b. Factor o(k).
-k**2*(k + 2)*(10*k - 3)
Let l(z) = z**2 - 2*z + 1. Let a be l(3). Let d(x) be the second derivative of -a*x - 5/21*x**3 + 1/42*x**4 + 0 + 1/70*x**5 + 3/7*x**2. Factor d(k).
2*(k - 1)**2*(k + 3)/7
Let y(p) be the third derivative of p**5/100 + p**4/20 - 4*p**3/5 + 4*p**2 + 2*p. Determine x, given that y(x) = 0.
-4, 2
Let g(h) be the third derivative of 28*h**2 + 1/40*h**6 - 1/10*h**5 + 0 - 1/420*h**7 + 5/24*h**4 - 1/4*h**3 + 0*h. Factor g(c).
-(c - 3)*(c - 1)**3/2
Determine k, given that -4*k**2 + 10 + 26 - 92 + 60*k = 0.
1, 14
Let z(b) be the first derivative of -25/2*b**2 - 10*b - 20/3*b**3 - 22 - 5/4*b**4. Factor z(o).
-5*(o + 1)**2*(o + 2)
Let x = -66193/7 + 9457. Solve -10/7*f**2 + 0 + 2/7*f**4 + x*f + 2/7*f**3 = 0 for f.
-3, 0, 1
Let x(a) = -7*a + 68. Let t be x(8). Determine c, given that -264 + t + 64*c - 4*c**2 - 4 = 0.
8
Let u be -1 + -1 - 8/4*-1. Let d(s) be the third derivative of s**3 - s**2 + 1/6*s**4 + u + 0*s + 1/90*s**5. What is k in d(k) = 0?
-3
Determine f so that -4 + 2*f**3 - 1/3*f**4 + f**2 - 16/3*f = 0.
-1, 2, 6
Let o(t) be the first derivative of t**6/1620 + t**5/540 + 8*t**3/3 + 19. Let h(l) be the third derivative of o(l). Factor h(i).
2*i*(i + 1)/9
Let q(i) be the first derivative of -i**4/4 - 23*i**3 - 1587*i**2/2 - 12167*i + 37. Suppose q(h) = 0. Calculate h.
-23
Let j = -10 - -11. Let x(q) = 3*q**3 - 2*q**2 + q. Let i be x(j). What is k in -3 + k + 4*k**2 - k**3 + 4 - 3 - 2*k**i = 0?
-1, 1, 2
Let d(s) be the first derivative of 0*s**2 - 1/21*s**6 + 0*s + 2/21*s**3 + 12 + 1/14*s**4 - 2/35*s**5. Factor d(f).
-2*f**2*(f - 1)*(f + 1)**2/7
Let t(w) be the third derivative of -w**7/10080 + w**6/2880 + w**4/24 - 8*w**2. Let q(y) be the second derivative of t(y). Factor q(k).
-k*(k - 1)/4
Let m(g) = 90*g**3 + 175*g**2 + 95*g - 10. Let n(t) = 46*t**3 + 88*t**2 + 48*t - 6. L