+ 2)/5
Let y(d) be the second derivative of -d**8/20160 - d**7/7560 + d**6/2160 + d**5/360 + 11*d**4/12 - 15*d. Let r(h) be the third derivative of y(h). Factor r(a).
-(a - 1)*(a + 1)**2/3
Let t(x) = 13*x - 4 + 4*x**2 - 11*x + 0*x**2. Let b(j) = -3*j**2 - 2*j + 5. Let p = 10 - 6. Let k(m) = p*b(m) + 5*t(m). Find a, given that k(a) = 0.
-1/4, 0
Factor 3 - 15*c - 68*c**2 + 0 - 45*c**2 + 5*c**2.
-3*(4*c + 1)*(9*c - 1)
Suppose -4*z = 4 - 20. Let m = z + -2. Factor -l**3 + 0*l**3 - 6*l - l**3 + 0*l**3 - 8*l**m.
-2*l*(l + 1)*(l + 3)
Let q be (-1)/(-5)*(-10)/(-4)*32. Let q*v**4 - 24*v**2 + 9*v**3 + 12*v - 2*v**4 - 8*v**4 - 3*v**5 = 0. Calculate v.
-2, 0, 1, 2
Let q(h) be the first derivative of h**5/190 + h**4/38 + h**3/19 + h**2/19 - 11*h + 13. Let r(s) be the first derivative of q(s). Factor r(g).
2*(g + 1)**3/19
Let k = 28 - 19. Suppose 3*d = k*d - 12. Find i such that 1/3 - 1/3*i + 2/3*i**3 - 2/3*i**d + 1/3*i**4 - 1/3*i**5 = 0.
-1, 1
Suppose 12/13*u - 2/13*u**5 + 10/13*u**4 + 0 - 10/13*u**3 - 10/13*u**2 = 0. Calculate u.
-1, 0, 1, 2, 3
Suppose 0 = -5*o - 30 - 45. Let r = o - -26. Determine l, given that 3 + l**3 - 4*l**4 - 3 + r*l**3 = 0.
0, 3
What is d in -12*d**2 - 4*d**3 - 5788*d**5 + 19*d**4 + 5792*d**5 - 7*d**4 = 0?
-3, -1, 0, 1
Determine o, given that 58 + 15 + 7 - 30*o - 5*o**2 = 0.
-8, 2
Let q(z) be the first derivative of -5*z**6/24 + z**5/4 + 5*z**4/12 + 8*z**2 + 5. Let c(m) be the second derivative of q(m). Determine p so that c(p) = 0.
-2/5, 0, 1
Let d(x) = x**4 + 4*x**3 + 4*x**2 + 1. Let z(h) = h**5 - h**3 + h**2 + 1. Let y(j) = 2*d(j) - 2*z(j). Factor y(v).
-2*v**2*(v - 3)*(v + 1)**2
Let a be (-46)/(-76) - 160/(-480)*(-6)/19. Factor -a*f**2 + 0 + 0*f - 1/2*f**4 + f**3.
-f**2*(f - 1)**2/2
Suppose -47*c**4 + 46*c**2 + 5808*c**3 - c + 3*c**5 - 29*c + c**2 - 5781*c**3 = 0. What is c?
-1, 0, 2/3, 1, 15
Suppose 18*r - 66 = 2*r - 17*r. Factor 3/2*x**r + 9/2 - 6*x.
3*(x - 3)*(x - 1)/2
Let j(v) = -10*v**3 + 110*v**2 - 610*v + 500. Let r(t) = 9*t**3 - 109*t**2 + 608*t - 500. Let k(g) = -4*j(g) - 5*r(g). Factor k(f).
-5*(f - 10)**2*(f - 1)
Let a(x) = -10*x**2 - 77*x - 581. Let o(y) = -3*y**2 - 26*y - 194. Let w(s) = 6*a(s) - 21*o(s). Factor w(g).
3*(g + 14)**2
Let w(g) be the second derivative of -1 + 2/9*g**3 + 0*g**2 + 1/9*g**6 + 6*g + 2/5*g**5 + 1/2*g**4. Factor w(s).
2*s*(s + 1)**2*(5*s + 2)/3
Let g be 280/(-210)*-1*(-1)/(-3). Factor 0 + 2/9*w**4 - 2/9*w**2 + 4/9*w - g*w**3.
2*w*(w - 2)*(w - 1)*(w + 1)/9
Let k(u) be the third derivative of -u**8/1512 - 2*u**7/189 - 7*u**6/135 - u**5/27 + 29*u**4/108 + 20*u**3/27 - 3*u**2 - 111*u. Find x, given that k(x) = 0.
-5, -4, -1, 1
Solve -13*o**2 + 14 - o + 7*o**4 - 2 + 6*o**3 - 5*o**3 - 6*o**4 = 0 for o.
-4, -1, 1, 3
Let c be 1/2 - (-3451)/(-58). Let j = c - -61. Factor 1/2*q**4 + 0 + 5/2*q**3 + 2*q + 4*q**j.
q*(q + 1)*(q + 2)**2/2
Let t(r) = 4*r**2 - r. Let y(o) = -146*o - 5*o**2 - 146*o + 0 + 0 + 293*o. Suppose 3*q + 18 = 6*q. Let i(h) = q*t(h) + 5*y(h). Suppose i(f) = 0. Calculate f.
-1, 0
Let l(f) be the second derivative of -f**4/3 - 20*f**3/3 + 78*f**2 + f - 144. Factor l(p).
-4*(p - 3)*(p + 13)
Suppose q - 4*d = 2*q + 2, -2*q = 2*d - 2. Factor -10*w**2 + 2*w + 4*w**q + 7*w**2.
w*(w + 2)
Let c(r) be the second derivative of -r**5/30 - r**4/6 - 2*r**3/9 + 6*r - 8. Factor c(n).
-2*n*(n + 1)*(n + 2)/3
Suppose 15*x + 5*x**4 + 25*x**3 + 0*x**2 - 15*x**2 + 38*x**2 + 12*x**2 = 0. What is x?
-3, -1, 0
Let d(f) be the third derivative of -f**6/480 + 13*f**5/20 - 2079*f**4/32 + 5929*f**3/12 - 11*f**2 + 27. Factor d(c).
-(c - 77)**2*(c - 2)/4
Factor 3*g - 17*g**2 + 14 - 7*g**2 - 24*g + 17 + 23.
-3*(g + 2)*(8*g - 9)
Suppose s - 8*s + 35 = 0. Let 6*w**s + 15*w**2 - 3*w**5 + 12*w**4 + 11*w**4 - 26*w**4 - 9*w**3 - 6*w = 0. Calculate w.
-2, 0, 1
Determine r so that 6 - 3*r - 6*r**2 + 2*r**2 + 31*r**3 - 28*r**3 - r**2 - r**2 = 0.
-1, 1, 2
Let h(u) be the first derivative of -u**6/6 - 12*u**5/5 - 9*u**4 + 732. Suppose h(i) = 0. What is i?
-6, 0
Let a(w) = 6*w**3 + 81*w**2 + 217*w + 197. Let q(l) = 13*l**3 + 161*l**2 + 435*l + 395. Let c(t) = -5*a(t) + 3*q(t). What is z in c(z) = 0?
-10/3, -2
Let j = -32 + 36. Let y be ((-4)/(-3))/(j/38). Factor -16/3*h + y*h**2 - 8/3 - 14/3*h**3.
-2*(h - 2)*(h - 1)*(7*h + 2)/3
Let x = 10662 + -10660. Factor -t + 0 - 1/2*t**x.
-t*(t + 2)/2
Let q(v) = v**3 + 22*v**2 - 24*v - 21. Let x be q(-23). Let b(a) be the third derivative of 0*a**3 - 1/180*a**5 - 1/36*a**4 + 0 - 9*a**x + 0*a. Solve b(h) = 0.
-2, 0
Let c(h) be the second derivative of -21*h**5/100 + 3*h**4/5 + 109*h**3/10 + 9*h**2 + 4*h + 19. Solve c(t) = 0.
-3, -2/7, 5
Let p(l) = 7*l - 130. Let w be p(19). Let x = -6/29 + 53/116. Solve 0 + 1/4*t**w + x*t + 1/2*t**2 = 0 for t.
-1, 0
Suppose -21*p - 20*p + 164 = 0. Let b(v) be the first derivative of -5 - 1/2*v**p - 4/5*v + v**2 + 4/15*v**3. Factor b(z).
-2*(z - 1)*(z + 1)*(5*z - 2)/5
Let r(f) be the third derivative of f**7/840 - 11*f**5/80 - 25*f**4/24 - 7*f**3/2 - 195*f**2. Factor r(m).
(m - 7)*(m + 2)**2*(m + 3)/4
Let y(b) be the first derivative of 0*b**5 + 0*b - 1/30*b**6 + 1/5*b**4 + 0*b**2 + 0*b**3 - 12. Determine w, given that y(w) = 0.
-2, 0, 2
Let r = -2417 - -2417. Find i such that -2 + r*i + 1/2*i**2 = 0.
-2, 2
Let g(w) be the second derivative of -w**5/5 - 265*w**4/12 - 737*w**3 - 1089*w**2/2 - 201*w. Suppose g(x) = 0. Calculate x.
-33, -1/4
Let p = -326 + 1631/5. Let d(w) be the second derivative of -1/2*w**4 - 1/30*w**6 - 2/3*w**3 - 1/2*w**2 - p*w**5 + 2*w + 0. Factor d(y).
-(y + 1)**4
Let c(j) be the first derivative of -j**5/20 + j**4/8 - 11*j**2 + 13. Let q(b) be the second derivative of c(b). Solve q(y) = 0.
0, 1
Let s(u) = u**3 - 6*u**2 + 7*u - 5. Suppose -4*h + 0*v + 12 = 2*v, -h + 9 = -v. Let z be s(h). Determine k, given that k**2 - 6 - 3 + 6*k + 3*k**2 - z*k**2 = 0.
3
Let m(z) be the third derivative of z**7/105 + 4*z**6/15 + 14*z**5/15 + 434*z**2. Factor m(p).
2*p**2*(p + 2)*(p + 14)
Let t(g) be the third derivative of g**6/150 + 26*g**5/25 + 266*g**4/5 + 5776*g**3/15 - 5*g**2 + 10. Factor t(l).
4*(l + 2)*(l + 38)**2/5
Let p(u) = -u**2 - 7*u. Let i(m) = 3*m**2 + 18*m + 1. Let z(h) = -4*i(h) - 11*p(h). Factor z(t).
-(t - 4)*(t - 1)
Suppose 44*v = 24*v. Let u(n) be the third derivative of v + 0*n + 1/6*n**3 - 3*n**2 + 1/8*n**4 + 1/20*n**5 + 1/120*n**6. Factor u(l).
(l + 1)**3
Let i = 874/21 + -124/3. Let d be (6/9)/(1/6). Find o, given that 0 + 8/7*o**d + i*o + 12/7*o**3 + 8/7*o**2 + 2/7*o**5 = 0.
-1, 0
Let c be 9/((-45)/(-10))*2. Let 2*v**4 + 106*v**3 - 112*v**3 - v**c + 4*v**2 + v**4 = 0. Calculate v.
0, 1, 2
Let p = -3321/5 + 29899/45. Suppose 2*m - 10 = -0*m. Find d, given that 4/3*d**3 - 1/9*d**4 - 4/9*d**m + 0 - 5/9*d**2 - p*d = 0.
-2, -1/4, 0, 1
Let a(q) be the third derivative of -q**6/120 + q**5/20 - 17*q**2. Factor a(f).
-f**2*(f - 3)
Let p(h) be the second derivative of 3/20*h**5 - 8*h - 1/10*h**6 + 24*h**2 - 14*h**3 + 0 + 3*h**4. Factor p(r).
-3*(r - 2)**2*(r - 1)*(r + 4)
Let i(j) = -5*j + 2*j**3 - 6 - 12*j**2 + 2 + 7*j**2 - j**3. Let n be i(6). Suppose -2*z**n + 10 - z**2 - 7 = 0. What is z?
-1, 1
Let x(d) = -14*d**5 + 8*d**4 - 17*d**3 - 5*d**2. Let w(r) = -5*r**5 + 3*r**4 - 6*r**3 - 2*r**2. Let v(g) = 17*w(g) - 6*x(g). Factor v(j).
-j**2*(j - 2)**2*(j + 1)
Let n(l) be the second derivative of 19*l + 0 + 1/24*l**4 + 0*l**3 - 1/120*l**6 + 0*l**2 + 1/80*l**5. Factor n(t).
-t**2*(t - 2)*(t + 1)/4
Let t be (0 + -2 + 770/245)/(4/14). What is f in -16/9*f**3 - 16/9*f**t + 4/9 + 16/9*f + 4/3*f**2 = 0?
-1, -1/2, 1
Let f(q) be the second derivative of q**6/45 - 75*q. Factor f(d).
2*d**4/3
Let p = 21 - 12. Suppose -7*r - p*r + 35*r - 18 + 14*r - 9*r**2 = 0. What is r?
2/3, 3
Let p(c) be the first derivative of -c**6/6 - 3*c**5/5 + 13*c**4/4 + 47*c**3/3 + 24*c**2 + 16*c + 39. Suppose p(m) = 0. Calculate m.
-4, -1, 4
Let z = -151 - -153. Factor -12/5*b - 16/5*b**z - 2/5.
-2*(2*b + 1)*(4*b + 1)/5
Let k(t) be the second derivative of 2*t**7/15 - 6*t**6/25 + 2*t**5/25 + 175*t. Factor k(h).
4*h**3*(h - 1)*(7*h - 2)/5
Let u(r) be the third derivative of -r**8/336 - r**7/210 + r**6/20 - r**5/30 - 5*r**4/24 + r**3/2 - 10*r**2 - 5. Determine f so that u(f) = 0.
-3, -1, 1
Let y be (-5 - -4)/((-10)/4). Let p(h) = 22*h + 91. Let k be p(-4). Factor 0*s - y*