 96 - 3*p**5 + 2*p + 21*p**4 + 166*p - 30*p**3 - 33*p**2 - 33*p**2 = 0?
-2, 1, 2, 4
Let u(w) be the third derivative of 19*w**5/150 - w**4/30 + 2684*w**2. Determine r, given that u(r) = 0.
0, 2/19
Let k(g) be the third derivative of -1 - 1/2*g**3 + 9*g**2 + 1/240*g**5 + 1/12*g**4 - 1/480*g**6 + 0*g. Find o, given that k(o) = 0.
-3, 2
Let g(h) be the third derivative of h**8/2520 - h**7/252 + h**5/60 - 7*h**3/2 + 55*h**2. Let d(o) be the third derivative of g(o). Factor d(c).
4*c*(2*c - 5)
Let m be 2/8*(22 - 14). Factor 14*h - 25*h**3 - 22*h**2 - h**m - 2*h**2 - 20 + 45*h**2 + 11*h.
-5*(h - 1)*(h + 1)*(5*h - 4)
Let j(f) = -4088*f**4 + 7424*f**3 - 2600*f**2 - 688*f - 28. Let d(s) = 2*s**4 - s**2 + 2*s + 2. Let v(o) = 4*d(o) - j(o). Factor v(h).
4*(h - 1)**2*(32*h + 3)**2
Suppose -66 = -4*t - 0*t + 18. Let u(a) be the third derivative of t*a**2 + 0*a + 2/15*a**5 - 7/24*a**4 + 1/3*a**3 + 0 - 1/40*a**6. Factor u(h).
-(h - 1)**2*(3*h - 2)
Suppose -4*f + 26 - 3 = 3*t, 3*t + 17 = 4*f. Let y(h) = -h - 9. Let s be y(-11). Suppose -4*b**2 - f*b + 0*b**2 - b**s = 0. Calculate b.
-1, 0
Let h be (1 + (-5)/(-3))/((-14)/(-42)). Suppose -5*y = -h - 2. Let 84*x**4 - 5*x**3 - 16*x - 124*x**2 + x**3 + 60*x**y = 0. What is x?
-2/3, -2/7, 0, 1
Let c(s) = 6*s**3 - 19*s**2 - 66*s - 30. Let u(v) = v**3 - 4*v**2 - 13*v - 6. Let i(n) = -6*c(n) + 33*u(n). Factor i(f).
-3*(f + 1)*(f + 2)*(f + 3)
Let a be (-5)/15*39/(-1). Suppose 24 = 171*q - 159*q. Factor 3*g**3 - 12*g - 12 - 24*g**2 + 14*g**q + a*g**2.
3*(g - 2)*(g + 1)*(g + 2)
Suppose 41*l - 19*l - 308 = 0. Factor -4*h**5 - 33*h**3 - l*h**4 + 56*h**2 - 26*h - 14*h**4 + 10*h.
-h*(h + 4)**2*(2*h - 1)**2
Let c(l) = 19*l**4 + 597*l**3 + 1192*l**2 + 603*l + 33. Let r(x) = 5*x**4 + 149*x**3 + 298*x**2 + 151*x + 9. Let i(h) = -6*c(h) + 22*r(h). Solve i(g) = 0 for g.
-74, -1, 0
Let f(y) = y**2 - 9*y + 10. Let v be f(1). What is p in 305*p**v - 1386*p + 5*p**4 + 37*p**3 + 486*p + 53*p**3 + 500 = 0?
-10, 1
Suppose 5*z + 84 - 65 = -2*v, -5*v = 2*z - 5. Suppose -3*j + 5*f - 10 = 0, 0 = v*j - 4*f - 3 + 11. Factor -1/8*o**3 + 1/8*o**4 + 0*o**2 + 0*o + j.
o**3*(o - 1)/8
Let w(l) be the third derivative of 0 + 8*l + 14/33*l**3 - 5/44*l**4 + 1/44*l**6 - 13/330*l**5 + 4*l**2 - 1/1155*l**7. Solve w(b) = 0.
-1, 1, 14
Let o(k) be the second derivative of -5*k**6/27 - 13*k**5/9 + 671*k**4/54 + 728*k**3/9 - 784*k**2 + 654*k. Let o(f) = 0. What is f?
-28/5, 3
Let n = 467353/24 + -19473. Let p(b) be the second derivative of 0 + 1/4*b**2 - 28*b + 0*b**3 - n*b**4. Factor p(w).
-(w - 1)*(w + 1)/2
Let o = -389 - -386. Let c be -5 - o*(-5)/(-2). Factor 5/2*b**3 + 5/2 - 5/2*b**2 - c*b.
5*(b - 1)**2*(b + 1)/2
Let i(z) = -7*z**3 - 15*z**2 - 59*z + 211. Let u(t) = 20*t**3 + 46*t**2 + 164*t - 634. Let d(w) = 14*i(w) + 5*u(w). Find v such that d(v) = 0.
-9, -4, 3
Factor -3*f**5 - 106101*f + 483652 + 100602*f**2 + 261*f**4 + 47789 + 3759*f**3 - 11805*f**3 - 307242*f.
-3*(f - 27)**3*(f - 3)**2
Let l(g) = 8*g**3 + g**2 - g - 1. Suppose -4*r + 6 + 2 = 0. Let i be l(r). Solve -i*p**3 + 15*p - 5*p**4 + 50*p**3 + 3*p + 2*p = 0 for p.
-2, 0, 1
Suppose 7*m - 91 = -70. Factor -3*n**4 - 54*n**2 - 20*n**m + 13*n**3 - 3*n**3 - 17*n**3.
-3*n**2*(n + 3)*(n + 6)
Let c(x) be the second derivative of 6*x + 4 - 2/3*x**3 - 1/3*x**6 - 7/6*x**4 - 1/21*x**7 + 0*x**2 - 9/10*x**5. Suppose c(f) = 0. Calculate f.
-2, -1, 0
Let g(b) be the first derivative of -b**6/3600 + b**5/200 - b**4/30 - 124*b**3/3 - 35. Let d(s) be the third derivative of g(s). What is n in d(n) = 0?
2, 4
Let 45/2*r**2 + 147/2 - 193/2*r + 1/2*r**3 = 0. Calculate r.
-49, 1, 3
Let v(k) be the first derivative of 32*k**3 - 8*k**4 + 64*k - 64 + 4/5*k**5 - 64*k**2. Suppose v(q) = 0. What is q?
2
Let i(v) be the third derivative of 3*v**8/112 + 5*v**7/28 - 7*v**6/40 - 63*v**5/40 + 19*v**4/8 + 2*v**3 - 4465*v**2 - 1. Suppose i(j) = 0. Calculate j.
-4, -2, -1/6, 1
Let l(w) be the first derivative of 1/2*w**2 + 27 + 1/30*w**5 + 5/3*w**3 + 3*w + 1/2*w**4. Let b(q) be the second derivative of l(q). Factor b(u).
2*(u + 1)*(u + 5)
Let g(l) be the first derivative of 2*l**5/65 + 41*l**4/13 - 334*l**3/39 + 84*l**2/13 + 1092. Find a such that g(a) = 0.
-84, 0, 1
Suppose -14*s = -7*s - 63. Factor s + 8*p**2 + 16 + 53*p + 15 - 4*p**3 - p.
-4*(p - 5)*(p + 1)*(p + 2)
Let i(o) be the second derivative of -o**5/4 + 95*o**4/12 - 50*o**3 - 3616*o. Factor i(x).
-5*x*(x - 15)*(x - 4)
Let i(o) be the second derivative of -o**4/15 - 1006*o**3/5 - 3016*o**2/5 + 9282*o. Let i(c) = 0. What is c?
-1508, -1
Let r(g) be the first derivative of g**6/30 + 9*g**5/25 + g**4 + 4*g**3/5 + 9556. Let r(u) = 0. What is u?
-6, -2, -1, 0
Let p(o) be the third derivative of 12*o**2 + 0*o**3 + 1/30*o**5 + 1/105*o**7 - 1/672*o**8 - 1/48*o**4 - 1/40*o**6 + 0*o + 0. Let p(j) = 0. What is j?
0, 1
Suppose 1/3*n**5 + 0 - 5/3*n**2 + n**3 - 4/3*n + 5/3*n**4 = 0. Calculate n.
-4, -1, 0, 1
Let y be 143117/296738 + (-4)/(-226). Factor -y*w + 1/4*w**2 - 3/4.
(w - 3)*(w + 1)/4
Let g be (-1 + -1)*111/3. Let n = -71 - g. Factor -15*b**3 + 6*b**4 - 20*b**2 + 2*b**n - b**5 + 32*b**2 - 4*b.
-b*(b - 2)**2*(b - 1)**2
Let z be (-13)/(-52) + 327/4. Factor -194*v**2 + 810*v - z*v**2 - 2205 + 61*v**2 + 1172*v + 5*v**3 + 433*v.
5*(v - 21)**2*(v - 1)
Let t(u) = 16*u - 4. Let a(w) = 1. Let l(r) = 2*a(r) - 2*t(r). Let b be l(-1). Suppose -342 - 5*f**2 + 51*f + 2*f**2 + b + 9*f = 0. What is f?
10
Let j(q) be the first derivative of 8/5*q**2 + 0*q - 17/15*q**3 + 115 + 1/20*q**4. Let j(f) = 0. What is f?
0, 1, 16
Let j(a) = -a**2. Let x be 24/21*-4 + 84/(-196). Let y(o) = 4*o**3 + 41*o**2 - 31*o - 10. Let d(t) = x*y(t) - 20*j(t). Suppose d(u) = 0. Calculate u.
-10, -1/4, 1
Let m(s) be the third derivative of s**5/30 + 49*s**4/4 + 290*s**3/3 - 375*s**2. Determine o, given that m(o) = 0.
-145, -2
Let o(q) = q**5 + 7*q**4 - 37*q**3 - 4*q**2 + 105*q + 69. Let x(l) = l**4 - l**3 - 1. Let z(m) = -o(m) + 3*x(m). Factor z(f).
-(f - 3)**2*(f + 1)**2*(f + 8)
Let d be (-2)/(-20*14/(-32935)). Let s = 236 + d. Factor 15/4*t - 3/4*t**3 - s*t**2 - 9/4.
-3*(t - 1)**2*(t + 3)/4
Suppose 4*a - 2*u + 4 = 10, 2 = -2*a + 2*u. Let 9*p**2 - 94*p**3 - 18 + 47*p**3 + 3*p**4 + 38*p**3 + 21*p - 6*p**a = 0. Calculate p.
-3, -2, 1
Let t(a) be the second derivative of 1/135*a**6 - 147*a + 1/27*a**4 - 1/3*a**2 + 0 + 4/27*a**3 - 2/45*a**5. Solve t(r) = 0 for r.
-1, 1, 3
Let h = 51176 - 51172. Let 2/3*g**2 - 2/3*g - h = 0. Calculate g.
-2, 3
Factor -4*y + 314573 - y**2 - 314585 - 9*y.
-(y + 1)*(y + 12)
Suppose 4*y = 3*r - 5, -2*y = 18*r - 22*r - 10. Let v be 1/r*(-1540)/539. Factor v*o + 1/7*o**2 + 0.
o*(o + 4)/7
Let u(p) = -4*p - 78. Let y be u(-24). Let a be (y/30)/(3/30). Factor -a*s**3 - 65*s**2 + 60*s**2 - 4*s**3 - 5*s**4.
-5*s**2*(s + 1)**2
Suppose -20*c + 22/3*c**2 - 1/3*c**3 - 72 = 0. Calculate c.
-2, 6, 18
Let m be (-10)/(-2) + (-1463)/(-42). Let h = m - 106/3. What is k in 15/4*k - 9/8 + 9/4*k**3 - 3/8*k**4 - h*k**2 = 0?
1, 3
Let a be ((-4)/(-14))/(9/21). Let h be (5/(-4))/(19/(-76)) + 201/(-45). Solve 8/15*p - h + 26/15*p**2 + a*p**3 = 0 for p.
-2, -1, 2/5
Determine c, given that -34*c**2 + 15*c**2 + 9*c**2 - 200 + 7*c**2 + 5*c**2 = 0.
-10, 10
Factor 20*l + 4658*l**3 + 11960*l**2 + 2952*l**3 - 1635*l**3.
5*l*(l + 2)*(1195*l + 2)
Let m = 810 + -810. Let v(a) be the third derivative of 1/60*a**5 + m*a + 0*a**3 + 0 - 27*a**2 + 1/12*a**4. Factor v(d).
d*(d + 2)
Suppose 45*j - 28 = 38*j. Factor -216/17*i - 108/17*i**2 - 24/17*i**3 - 2/17*i**j - 162/17.
-2*(i + 3)**4/17
Find b, given that 70/3 - 59/3*b + 4*b**2 = 0.
2, 35/12
Suppose -11 = 3*c + 2*l - 42, 3*c = 3*l + 51. Let x be c/(-26)*(-8)/2. Determine b, given that -b + b - b**4 + b + 3*b + 4 - 4*b**3 - 3*b**x = 0.
-2, -1, 1
Suppose -g + 3*g + 2 = 0. Let u be (-27)/(-12) + g/4. Factor 2*b**2 - b**3 - 3*b**2 + 2*b**u + 0*b**2.
-b**2*(b - 1)
Let 35*k**2 - 71*k - 45*k**2 - 97*k**3 - 70*k**2 + 92*k**3 - 69*k = 0. What is k?
-14, -2, 0
Let z be (-1)/(-3) + (28/(-12) - -7). Let d be 5 - (-172*(-3)/54 - z). Determine k, given that 0 + 0*k**2 - 2/9*k**4 + 0*k + d*k**3 = 0.
0, 2
Suppose -2*p + 43 = 3*g, -53*g + 59*g = 2*p + 2. Find k such that 1/10*k**g - 6/5*k - 3/10*k**4 + 2/5 - 1/10*k**3 + 11/10*k**2 = 0.
-2, 1, 2
Let o(h) be the first derivative of h**6/420 + h*