of 2/15*c**s + 8 - 2/5*c**4 - 2/25*c**5 + 4/5*c**2 + 0*c. Determine l, given that b(l) = 0.
-4, -1, 0, 1
Let q(g) be the third derivative of 1/15*g**5 + 0*g + 14/3*g**3 + 4/3*g**4 + 17*g**2 + 0. Factor q(s).
4*(s + 1)*(s + 7)
Let y = 3333 - 3331. Find q such that -1/3*q**y + 0*q + 0 - 1/3*q**3 = 0.
-1, 0
Factor -753*h**5 + 1503*h**5 - 10*h**4 - 755*h**5 - 5*h**3.
-5*h**3*(h + 1)**2
Let c(d) be the first derivative of -4/5*d**5 + 5*d**4 - 10 - 28/3*d**3 + 6*d**2 + 0*d. Factor c(t).
-4*t*(t - 3)*(t - 1)**2
Let i(a) = 19*a**2 - 18*a**2 + 6*a - 5*a. Let m(n) = 9*n**2. Let j(v) = 6*i(v) - m(v). Solve j(q) = 0.
0, 2
Let w(a) = 18*a**2 - 40*a + 38. Let c(g) = 2*g**2 - g + 1. Let d(f) = -8*c(f) + w(f). Determine b so that d(b) = 0.
1, 15
Determine f, given that -74/5*f - 4/5*f**4 + 2/5*f**3 + 24/5 + 52/5*f**2 = 0.
-4, 1/2, 1, 3
Let l(t) be the third derivative of -1/15*t**5 + 0*t + 0*t**4 - 12*t**2 + 0*t**3 - 1/20*t**6 + 0 - 1/105*t**7. Factor l(g).
-2*g**2*(g + 1)*(g + 2)
Let u(d) be the second derivative of -3*d**2 + 0 - 1/4*d**6 - 3/56*d**7 - 3/80*d**5 + 9/8*d**4 - 13*d + 1/2*d**3. Let u(m) = 0. Calculate m.
-2, -1, 2/3, 1
Let n(b) = 11*b**2 - 11*b - 2*b**2 + 0*b**2 + 4 - 2*b**2. Let u(z) = -13*z**2 + 21*z - 8. Let c(d) = 5*n(d) + 3*u(d). Factor c(x).
-4*(x - 1)**2
Suppose 0 = 4*c + 3*k - 554 + 536, 0 = -2*c - 2*k + 12. Solve 2/13*u**2 + c + 0*u = 0 for u.
0
Let d(i) be the second derivative of -13*i + 5/2*i**3 + 0 - 5*i**2 - 5/12*i**4. Find r such that d(r) = 0.
1, 2
Let n(t) = 4*t**4 + 7*t**3 + t**2 - 12*t + 12. Let l(f) = -3*f**4 - 6*f**3 + 12*f - 11. Let p(m) = 3*l(m) + 2*n(m). Factor p(q).
-(q - 1)**2*(q + 3)**2
Let -14*x**4 + 576 + 397*x**3 + 440*x**3 + 1776*x + 179*x**4 + 1884*x**2 - 324*x**5 + 336*x**5 = 0. What is x?
-4, -1, -3/4
Let w = 118 + -116. Let g be 11/4 + (-1)/(-4). Solve a + 9*a**w + 47 + 5*a + g*a**3 - 47 = 0.
-2, -1, 0
Let a(o) be the first derivative of -o**7/560 + 17*o**6/240 - o**5 + 4*o**4 + 41*o**3/3 + 34. Let d(i) be the third derivative of a(i). Factor d(q).
-3*(q - 8)**2*(q - 1)/2
Suppose 3*f - 30 + 11*f + 14*f**2 - 10651*f**3 + 10653*f**3 = 0. Calculate f.
-5, -3, 1
Let j(i) be the third derivative of 0 + 12*i - 1/60*i**6 + 1/10*i**5 + i**2 + 0*i**3 + 1/3*i**4. Factor j(f).
-2*f*(f - 4)*(f + 1)
Let a(t) = -9*t**4 + 81*t**2 - 144*t + 114. Let k(d) = -8*d**4 + 80*d**2 - 150*d + 113. Let y(c) = 5*a(c) - 6*k(c). Find i, given that y(i) = 0.
-6, 1, 2, 3
Let o(h) be the third derivative of 2*h**7/105 - 11*h**6/60 - 11*h**5/30 + 8*h**4/3 - 4*h**3 - 4*h**2 + 22*h. Let o(v) = 0. Calculate v.
-2, 1/2, 1, 6
Let a(h) be the third derivative of -h**9/12096 + h**8/1344 - h**7/504 + h**5/20 - 19*h**2. Let n(i) be the third derivative of a(i). Let n(b) = 0. What is b?
0, 1, 2
Let x be ((-62)/(-48) - 1)*36/126. Let a(c) be the third derivative of c**2 + 0 + 0*c**3 + x*c**5 + 0*c**4 + 0*c. Solve a(y) = 0.
0
Let p(i) be the first derivative of -3*i**3/4 - 327*i**2/8 - 27*i + 107. Let p(d) = 0. Calculate d.
-36, -1/3
Factor -2/9*b**4 - 448/3*b**2 + 256*b + 0 + 100/9*b**3.
-2*b*(b - 24)**2*(b - 2)/9
Factor 0*n - 6*n**3 - 3/2*n**4 + 0*n**2 + 0.
-3*n**3*(n + 4)/2
Let d be 112/(-84) - (-1115)/6. Let h = d + -184. Find j, given that 0 - j - 3/2*j**2 - h*j**3 = 0.
-2, -1, 0
Let y(s) be the third derivative of 1/84*s**8 - 1/3*s**4 + 0*s**3 + 1/30*s**6 + 0 + 0*s + 1/5*s**5 - 18*s**2 - 2/35*s**7. Factor y(d).
4*d*(d - 2)*(d - 1)**2*(d + 1)
Let o(x) be the second derivative of x**4/30 - 2*x**3/15 - 3*x**2/5 + 319*x. Suppose o(b) = 0. What is b?
-1, 3
Suppose -4*b - 2*b = -126. Factor -19*g**2 + 0*g + 6*g**3 + b*g**2 + 4*g**4 + 0*g.
2*g**2*(g + 1)*(2*g + 1)
Let 18/5*k**2 + 0 + 28/5*k + 2/5*k**3 = 0. Calculate k.
-7, -2, 0
Let y(t) = -t**2 - 7*t + 5. Let l be y(-6). Factor 0*h**3 - 6*h**3 - 2*h**3 + l*h - 4*h**2 - 7*h.
-4*h*(h + 1)*(2*h - 1)
Let g(k) be the first derivative of -k**3/33 - 13*k**2/22 - 12*k/11 - 56. What is l in g(l) = 0?
-12, -1
Suppose 16 = -7*d - 5. Let u be d + 6/3 + 8. Suppose 2*b**3 + 2*b**3 - b**2 - u*b**2 + b + 3*b = 0. What is b?
0, 1
Let s = -21/10 + 127/60. Let l(q) be the second derivative of 1/12*q**4 + 1/6*q**3 + s*q**5 + 1/6*q**2 + 0 - 7*q. Factor l(h).
(h + 1)**3/3
Solve 0 + 2/7*v**4 - 1/7*v**5 + 0*v - 2/7*v**2 + 1/7*v**3 = 0 for v.
-1, 0, 1, 2
Factor 64*b**4 - 3 - 15*b**2 - 21*b**3 - 18*b**2 - 68*b**4 - 19*b.
-(b + 1)**2*(b + 3)*(4*b + 1)
Suppose 0 = 5*v - 8 - 12. Factor -k**4 + 3*k**3 + v*k**4 + k**2 + k**5 - 42*k + 42*k.
k**2*(k + 1)**3
Let q(c) = -3*c**3 - 24*c**2 + 5*c + 42. Let m be q(-8). Suppose 3/4*n**m - 15/2*n + 75/4 = 0. Calculate n.
5
Let s(i) be the second derivative of 1/3*i**2 - 1/9*i**3 - 1/18*i**4 + 4*i + 1/30*i**5 + 0. Factor s(h).
2*(h - 1)**2*(h + 1)/3
Let g(t) be the second derivative of -t**4/108 - 65*t**3/54 + 11*t**2/3 + 354*t. Factor g(z).
-(z - 1)*(z + 66)/9
Factor 12*l + 1/2*l**2 + 23/2.
(l + 1)*(l + 23)/2
Suppose 7*h**2 + 1033 - 3*h**2 + 40*h - 563 - 566 = 0. What is h?
-12, 2
Let u(l) be the third derivative of -l**6/360 + 229*l**5/180 + 676*l**2. Determine b, given that u(b) = 0.
0, 229
Determine c, given that 27 - 189/2*c + 75/2*c**3 - 84*c**2 = 0.
-1, 6/25, 3
Let g(l) be the third derivative of l**5/12 - 25*l**4/12 + 125*l**3/6 - 3*l**2 + 30. Factor g(t).
5*(t - 5)**2
Let m(w) be the first derivative of -15*w**4/2 - 26*w**3/3 + 32*w**2 - 8*w + 29. Find h such that m(h) = 0.
-2, 2/15, 1
Let p(t) = -t**3 + t**2 + t - 1. Let x(i) = 16*i**2 - 11*i. Let h(a) = 4*p(a) - x(a). Determine l, given that h(l) = 0.
-4, 1/2
Factor 3/4*h**2 + 4*h + 4.
(h + 4)*(3*h + 4)/4
Let g be 4/(-3)*(-54)/(-12) + 3. Let c be (-117)/(-21)*(8/g)/(-4). Factor -64/7*o**2 - 44/7*o**4 - 4/7 - 76/7*o**3 - 10/7*o**5 - c*o.
-2*(o + 1)**4*(5*o + 2)/7
Let a be (-51)/18 + (-2)/12. Let g = -1 - a. Factor 4*f**2 + 7*f**4 - g*f**3 + 2*f**5 + 5*f**3 + 7*f**3 + f**4.
2*f**2*(f + 1)**2*(f + 2)
Let z(t) be the second derivative of -t**5/130 - 35*t**4/78 - 96*t**3/13 + 324*t**2/13 - 24*t + 2. Determine k, given that z(k) = 0.
-18, 1
Let k be (-2)/11 - 18/(-297)*3. Let f(h) be the second derivative of -1/7*h**7 + 0 + k*h**3 + 1/3*h**4 + h + 8/15*h**6 + 0*h**2 - 7/10*h**5. Factor f(n).
-2*n**2*(n - 1)**2*(3*n - 2)
Let w(m) be the third derivative of m**7/315 + m**6/270 + m**5/540 + m**4/24 + 11*m**2. Let y(t) be the second derivative of w(t). Factor y(p).
2*(6*p + 1)**2/9
Suppose 4*r + 4*k - 10 = 14, 0 = 4*r + 2*k - 18. Determine d so that 176 - 2*d**r + 12*d - 2*d**3 - 184 = 0.
-2, 1
Let q = 2509 - 2509. Let 2*r**2 + q + 2/3*r - 8/3*r**3 = 0. Calculate r.
-1/4, 0, 1
Let c = -41 - -46. Find r such that 2*r - 5 + r + c*r**2 - 3*r = 0.
-1, 1
Let x(v) be the second derivative of 1/18*v**5 - 2/9*v**4 + 0*v**2 - 9*v + 4/27*v**3 + 0. Factor x(s).
2*s*(s - 2)*(5*s - 2)/9
Let y(i) = -i**3 + 14*i**2 + 15*i + 3. Let v be y(15). Suppose v*b = -5*b + b. Factor -2/7*a**2 - 6/7*a**3 + b*a - 6/7*a**4 + 0 - 2/7*a**5.
-2*a**2*(a + 1)**3/7
Let z(p) be the second derivative of p**4/4 + p**3 + 3*p**2/2 - 2*p - 4. Factor z(m).
3*(m + 1)**2
Let p(h) be the first derivative of -3/4*h**4 - 2/3*h**3 + 2*h**2 + 1/12*h**6 + 1/10*h**5 - 54 + 0*h. Factor p(f).
f*(f - 2)*(f - 1)*(f + 2)**2/2
Let k be (((-6)/7)/(-3))/(7/98). Find l such that -489*l**k - 6*l**2 + 486*l**4 - 21*l + 21*l**3 - 9*l**2 + 18 = 0.
-1, 1, 6
Let v(k) be the first derivative of 2*k**6/21 + 20*k**5/7 + 46*k**4/7 - 8*k**3/21 - 94*k**2/7 - 92*k/7 - 604. Suppose v(l) = 0. What is l?
-23, -1, 1
Suppose 10*s - 6*s = 180. Let d = 48 - s. Suppose 2*l**2 + 3/4*l**d + 7/4*l + 1/2 = 0. Calculate l.
-1, -2/3
Let y(h) be the second derivative of -25*h + 3/50*h**5 - 2/15*h**4 + 0 - 4/15*h**3 + 2/75*h**6 - 1/105*h**7 + 0*h**2. Let y(c) = 0. Calculate c.
-1, 0, 2
Let y(c) be the third derivative of c**6/240 + 7*c**5/120 - c**4/6 + c**2 - 1. Find z such that y(z) = 0.
-8, 0, 1
Suppose 4*s + o - 12 - 7 = 0, 4*o = -4. Factor 14*x - 4*x**2 + 1 - s + 22*x**2.
2*(x + 1)*(9*x - 2)
Solve -134*y**2 - 4*y**5 + 44*y - 190*y**2 + 372*y**2 - 48*y**4 - 40*y**3 = 0.
-11, -1, 0, 1
Let h(a) be the third derivative of -39*a**2 - 1/40*a**6 + 0*a + 9/10*a**5 - 27/2*a**4 + 108*a**3 + 0. Factor h(r).
-3*(r - 6)**3
Let s = 87014 + -1304636/15. Let u(n) be the first derivative of 0*n + s*n**5 - n**4 - 88/9*n**3 + 8/3*n**2 - 24