 x(t) = 0 for t.
-1/3, 0, 2
Let m(u) be the first derivative of -2*u**3/3 + 5*u**2 - 12*u - 63. Factor m(c).
-2*(c - 3)*(c - 2)
Let b(l) = l**3 + 3*l**2 + l - 4. Let q be b(-2). Let f be 1 + q - 8/(-6)*3. Factor 0 - 1/3*v**2 + 0*v - 1/3*v**f + 1/3*v**5 + 1/3*v**4.
v**2*(v - 1)*(v + 1)**2/3
Let a be (-5)/(-15) + (-10)/(-12) - 50/100. Determine c, given that -2/5 - 2/15*c**2 - 2/15*c**3 + a*c = 0.
-3, 1
Let y(n) be the third derivative of -n**4/24 - 23*n**2. Let v(d) = d**2 - 6*d. Let o(p) = -5*v(p) + 30*y(p). Factor o(t).
-5*t**2
Suppose z - 5 = -4*g, z + 8*g = 3*g + 4. What is m in 42*m - 15*m**4 - 159 + 153 - z*m + 51*m**3 - 63*m**2 = 0?
2/5, 1
Let z = 55836/139615 - -2/27923. Factor -z*i**4 + 2/5*i**2 + 2/5*i**3 - 2/5*i + 0.
-2*i*(i - 1)**2*(i + 1)/5
Let v(g) be the first derivative of -g**4/24 + 5*g**3/6 - 13*g**2/6 - 441. Factor v(t).
-t*(t - 13)*(t - 2)/6
Let w(l) be the third derivative of l**7/378 - 26*l**6/135 - 299*l**5/540 - 43*l**4/108 + 14*l**2 - 2*l. Factor w(p).
p*(p - 43)*(p + 1)*(5*p + 2)/9
Factor 15/2*s**2 + 125/4*s + 5.
5*(s + 4)*(6*s + 1)/4
Factor -11*n - 4*n**2 - 15*n + 6*n**2 + 2*n**2 + 46*n.
4*n*(n + 5)
Let d(n) be the first derivative of -n**6/24 + 3*n**5/10 - 5*n**4/16 - n**3 - 452. What is r in d(r) = 0?
-1, 0, 3, 4
Let y(a) be the third derivative of -a**8/5040 + a**7/1260 - a**6/1080 + a**3/3 + 15*a**2. Let i(b) be the first derivative of y(b). Let i(u) = 0. Calculate u.
0, 1
Let t(y) = 26*y + 1095. Let g be t(-42). Determine s so that 0 + 0*s**2 + 0*s**4 - 1/3*s**5 - 1/3*s + 2/3*s**g = 0.
-1, 0, 1
Let q = -51 - -59. Suppose 5*g - 4*c - 8 = q, -4*g - c = -17. Factor 1/2*l**2 - 1/4*l - 1/2*l**g + 0 + 0*l**3 + 1/4*l**5.
l*(l - 1)**3*(l + 1)/4
Let p(j) be the second derivative of j**7/42 - 4*j**6/15 + 19*j**5/20 - 2*j**4/3 - 10*j**3/3 + 8*j**2 + 336*j. Determine w so that p(w) = 0.
-1, 1, 2, 4
Let z = 1 - 11. Let n be (-4)/z + (-72)/(-20). Factor -3*q + n - 6 + 3*q**2 - 2*q.
(q - 2)*(3*q + 1)
Let f be (-874)/95 - (5 - 22). Factor 3/5*b**2 + 42/5*b + f.
3*(b + 1)*(b + 13)/5
Let w(o) = -6*o**4 - 44*o**3 + 272*o**2 - 732*o + 486. Let t(p) = 8*p**4 + 45*p**3 - 271*p**2 + 733*p - 485. Let s(u) = -4*t(u) - 5*w(u). Factor s(c).
-2*(c - 7)**2*(c - 5)*(c - 1)
Let o(a) be the third derivative of 0 + 1/36*a**5 + 0*a + 0*a**3 + 5/72*a**4 + 9*a**2. Factor o(f).
5*f*(f + 1)/3
Suppose 3*t + 3*y - 59 + 17 = 0, 4*t = 3*y + 77. Suppose v + k = 4*k + t, 0 = -3*v - 5*k - 19. Solve -7/3*p**4 + 0*p - 1/3*p**v - 5/3*p**3 + 0 - p**5 = 0.
-1, -1/3, 0
Let h(c) be the third derivative of -c**9/211680 - c**8/8820 - c**7/840 - c**6/140 - 3*c**5/20 - 24*c**2. Let y(t) be the third derivative of h(t). Factor y(l).
-2*(l + 2)*(l + 3)**2/7
Let o(m) be the third derivative of -m**8/4032 + m**7/126 - m**6/9 - 13*m**5/60 - 14*m**2. Let y(s) be the third derivative of o(s). Solve y(j) = 0.
4
Suppose 3*f = 4*b + 16, -6*f + 5*b + 20 = -2*f. Determine t, given that 0*t + 2/3 + 2/3*t**4 + f*t**3 - 4/3*t**2 = 0.
-1, 1
Suppose 16/9 + 76/9*x**3 - 220/9*x**2 + 128/9*x = 0. Calculate x.
-2/19, 1, 2
Factor 0 + 9/4*v**4 + 69/4*v**3 - 12*v + 30*v**2.
3*v*(v + 4)**2*(3*v - 1)/4
Let m(f) be the third derivative of -1/168*f**8 + 0 + 1/15*f**5 - 1/3*f**3 - 1/12*f**4 + 0*f + 1/30*f**6 + f**2 - 1/105*f**7. What is a in m(a) = 0?
-1, 1
Let z be (0/1 - 0)/(47 + -43). What is y in 0*y**2 - 2/17*y**3 + 0 - 12/17*y**5 + 14/17*y**4 + z*y = 0?
0, 1/6, 1
Let w = -285 + 287. Let c be 2 + (27/(-15) - 0). Find s such that 2*s + 5*s**w + c = 0.
-1/5
Let l(h) = -h**3 + h**2 - h - 1. Let p be l(-1). Factor 4*z - z + p*z + 5*z**2 - 10*z**3.
-5*z*(z - 1)*(2*z + 1)
Suppose -168*u**3 - 33*u**2 + 156*u**3 - 15*u + 6 + 0 = 0. What is u?
-2, -1, 1/4
Let k = 73 - 68. Determine w so that 0*w**3 - k*w**3 + w**3 + 3*w**3 + w = 0.
-1, 0, 1
Let d(v) = -12*v + 50. Let c be d(4). Let n(l) be the second derivative of -1/21*l**3 + 0*l**4 + 5*l + 0*l**c + 1/70*l**5 + 0. Factor n(o).
2*o*(o - 1)*(o + 1)/7
Let j(f) be the second derivative of f**7/40 - 9*f**6/20 + 12*f**5/5 + 4*f**4 + 4*f**3/3 + 15*f. Let a(i) be the second derivative of j(i). Factor a(m).
3*(m - 4)**2*(7*m + 2)
Let r = 90 + -43. Factor -b**2 + 123*b - 38*b - r*b - 40*b.
-b*(b + 2)
Let s be 16/(-65) - (-1872)/4680. Factor s*h**2 - 20/13*h - 22/13.
2*(h - 11)*(h + 1)/13
Factor -80*w + 231*w - 4*w**3 + 169*w + 68*w**2 + 336.
-4*(w - 21)*(w + 2)**2
Suppose -12 = -2*h - h. Let l(n) be the first derivative of h - 4/5*n**3 - 3/20*n**4 + 0*n - 6/5*n**2. Factor l(k).
-3*k*(k + 2)**2/5
Let v(x) be the third derivative of -x**11/110880 + x**9/20160 - x**5/60 - 7*x**2. Let w(i) be the third derivative of v(i). Factor w(t).
-3*t**3*(t - 1)*(t + 1)
Let k(h) = 5*h**2 - 4*h. Suppose 0 = -2*m - 2, a - 9 + 2 = 3*m. Let c(z) = 4*z**2 - 3*z. Let g(v) = a*c(v) - 3*k(v). Determine d so that g(d) = 0.
0
Let d(h) be the third derivative of h**5/60 - h**4/24 + 3*h**2. Let k be d(-1). Factor k*i**4 + i**2 - 6*i**3 + 2*i**2 + 2*i**5 + 4*i - 5*i**2.
2*i*(i - 1)**2*(i + 1)*(i + 2)
Let b(d) be the third derivative of -d**7/1050 + d**6/200 + d**5/25 - 13*d**4/30 + 8*d**3/5 + 366*d**2. Factor b(w).
-(w - 3)*(w - 2)**2*(w + 4)/5
Suppose 4*d + 10 = 3*z, 19*z - 2*d + 2 = 21*z. Let i(m) be the second derivative of -6*m**2 - 1/4*m**4 - z*m**3 + 5*m + 0. Suppose i(n) = 0. What is n?
-2
Let b(m) be the first derivative of -m**4 + 20*m**3/3 - 16*m**2 + 16*m - 57. What is f in b(f) = 0?
1, 2
Let z(i) be the second derivative of i**7/420 - i**6/120 - i**5/40 - 3*i**2/2 - 3*i. Let k(h) be the first derivative of z(h). Let k(d) = 0. Calculate d.
-1, 0, 3
Let o = 1629/4889 - -2/14667. Let 1/3 - o*p**4 - 2/3*p**3 + 2/3*p + 0*p**2 = 0. What is p?
-1, 1
Let d(g) be the first derivative of -5 + 4*g - 5/6*g**4 + 1/10*g**5 + g**3 + 0*g**2 + 1/15*g**6. Let c(n) be the first derivative of d(n). Factor c(r).
2*r*(r - 1)**2*(r + 3)
Let y(v) be the second derivative of v**5/80 + 5*v**4/16 - 2*v**3/3 + 355*v. Suppose y(h) = 0. What is h?
-16, 0, 1
Let n(x) be the first derivative of 2*x**5/15 + 19*x**4/6 + 194*x**3/9 + 15*x**2 - 108*x - 19. Factor n(r).
2*(r - 1)*(r + 2)*(r + 9)**2/3
Let c(i) be the third derivative of -i**6/75 - i**5/50 + 7*i**4/60 + 12*i**2 - 6. Let c(o) = 0. Calculate o.
-7/4, 0, 1
Suppose -16*p = -26*p - 44*p. What is o in 1/4*o**3 + p - 3/2*o**2 + 9/4*o = 0?
0, 3
Let a be (-132)/(-9)*(-6)/4. Let k be 1 - -14*1/a. What is d in -2/11*d**4 + 0 - 2/11*d**3 + 0*d + k*d**2 = 0?
-2, 0, 1
Let f = -3 - -6. Suppose 4*l - f = 9. Factor -7*q**2 - 3*q + q**2 - l*q - 3*q**2 - 3*q**3.
-3*q*(q + 1)*(q + 2)
Factor 36/5 + 2/5*f**2 - 38/5*f.
2*(f - 18)*(f - 1)/5
Let i(l) be the first derivative of -9/4*l**2 + l - 6/5*l**5 + 1/2*l**4 + 36 + 5/3*l**3 + 5/12*l**6. Determine x, given that i(x) = 0.
-1, 2/5, 1
Suppose 189*j**2 + 76 + 900*j**5 + 1876*j**3 + 68 + 4907*j**2 - 3840*j**4 - 48 - 882*j - 542*j = 0. Calculate j.
-1, 2/15, 2, 3
Let j(q) be the first derivative of q**6/39 - 21*q**5/65 + 16*q**4/13 - 32*q**3/39 + 13*q + 34. Let g(l) be the first derivative of j(l). Solve g(c) = 0.
0, 2/5, 4
Suppose -95 + 664*l**2 + 40*l**4 + 324*l**3 + 7 - 40 = 0. Calculate l.
-4, -1/2, 2/5
Let b(y) be the first derivative of -y**4/36 - 2*y**3/9 - 2*y**2/3 - 11*y + 11. Let w(d) be the first derivative of b(d). Factor w(q).
-(q + 2)**2/3
Factor -8*k - 3*k - 3*k**2 - k + 30 - 15*k.
-3*(k - 1)*(k + 10)
Let b(a) be the third derivative of a**7/14 - 11*a**6/12 + 7*a**5/3 + 95*a**4/12 - 25*a**3/2 - 31*a**2 - 4. Find l such that b(l) = 0.
-1, 1/3, 3, 5
Let t = 163/30 + -29/6. Let f(y) be the second derivative of -1/2*y**4 + 5*y - 3/8*y**2 + 0 - 7/8*y**3 + t*y**5. Factor f(n).
3*(n - 1)*(4*n + 1)**2/4
Solve -12*r**5 - 104*r**3 - 160*r**2 - 80*r**2 + 7*r**5 - 66*r**3 + 65*r**4 = 0.
-1, 0, 6, 8
Let q(h) = -h**3 + 8*h**2 - 22*h + 62. Let m be q(6). Let f(n) be the second derivative of 1/3*n**m + 1/18*n**4 + 14*n + 0 - 2/9*n**3. Factor f(p).
2*(p - 1)**2/3
Factor 1/6*v**4 - 5/6*v**2 + 1/2*v + 0 + 1/6*v**3.
v*(v - 1)**2*(v + 3)/6
Let y(w) be the second derivative of w**4/6 + 13*w**3/33 + 2*w**2/11 - 40*w + 3. Factor y(h).
2*(h + 1)*(11*h + 2)/11
Let m be (-8)/(-2) - (42/7 - 2). Let b(v) be the third derivative of v**3 - 1/20*v**5 + m + v**2 + 0*v - 1/8*v**4. Find z, given that b(z) = 0.
-2, 1
Let r(k) be the second 