t u(g) be the third derivative of z(g). Factor u(q).
-2*(q + 3)*(4*q - 1)**2/9
Let j(d) be the second derivative of 0*d**2 - 3/50*d**5 - 1/15*d**3 + 0 - 1/75*d**6 - 1/10*d**4 + 10*d. Factor j(v).
-2*v*(v + 1)**3/5
Let d be (6/45)/((-42)/(-5)). Let s(c) be the second derivative of 0*c**3 - 4*c + 0*c**6 + d*c**7 + 0*c**4 - 1/30*c**5 + 0*c**2 + 0. Factor s(f).
2*f**3*(f - 1)*(f + 1)/3
Let c(z) be the second derivative of 0 - 1/12*z**4 - 1/2*z**3 + 0*z**2 + 9*z. Determine m, given that c(m) = 0.
-3, 0
Let g(y) = 36*y**2 + 276*y + 240. Let n(v) = -7*v**2 - 55*v - 48. Let x(a) = -4*g(a) - 21*n(a). Factor x(z).
3*(z + 1)*(z + 16)
Let v be (3 - 3)*(-3 + 80/24). Let 6*i - 10/3*i**3 + 2/3*i**4 + 2*i**2 + v = 0. What is i?
-1, 0, 3
Let h(y) be the second derivative of 32*y**5/15 - 8*y**4/9 + y**3/9 + 25*y. Factor h(t).
2*t*(8*t - 1)**2/3
Suppose 2*b - 14 = -d + 35, -4*b - 4 = 0. Let t = d - 203/4. Find y, given that t + 1/2*y + 1/4*y**2 = 0.
-1
Let m(x) be the third derivative of x**8/112 + x**7/70 - x**6/20 + 107*x**2. Factor m(z).
3*z**3*(z - 1)*(z + 2)
Factor -3/2*y**3 + 81/2*y - 39*y**2 + 0.
-3*y*(y - 1)*(y + 27)/2
Solve 8 - 2/7*p**2 + 6/7*p = 0 for p.
-4, 7
Let u = 48 - 44. Factor x**u - 6*x**3 - 4*x**2 - 7*x**4 + 4*x**4 + 0*x**3.
-2*x**2*(x + 1)*(x + 2)
Suppose 0 = -t - 2*t + 42. Let v = -9 + t. Let -3*o**v + 3*o**2 - 7*o**2 + o**2 + 0*o**5 + 3*o**3 + 3*o**4 = 0. Calculate o.
-1, 0, 1
Let a = -150 - -155. Find f such that 0 + 3/2*f**3 - 1/2*f**2 + 1/2*f**a + 0*f - 3/2*f**4 = 0.
0, 1
Let j(d) be the second derivative of 0*d**5 + 6*d + 1/45*d**6 + 0 + 1/3*d**2 + 0*d**3 - 1/9*d**4. Determine x so that j(x) = 0.
-1, 1
Let p(j) be the first derivative of 3/4*j**3 - 3/8*j**4 - 3/2*j + 12 + 9/8*j**2. Factor p(s).
-3*(s - 2)*(s + 1)*(2*s - 1)/4
Suppose -5*y**4 - y**4 + 9*y**4 + 72*y**2 - 27*y**3 - 48*y = 0. What is y?
0, 1, 4
Let a be (-6)/(-39) + 50270/(-585). Let j = a + 86. Suppose -4/3*m**4 + 8/3*m + 16/9 - 4/9*m**2 - j*m**5 - 22/9*m**3 = 0. Calculate m.
-2, -1, 1
Let x(h) = -8*h**3 - 13*h**2 + 146*h - 47. Let o(j) = 31*j**3 + 52*j**2 - 584*j + 191. Let u(l) = -6*o(l) - 22*x(l). Factor u(y).
-2*(y - 4)*(y + 7)*(5*y - 2)
Let h(v) be the third derivative of -v**6/300 + 4*v**5/75 - 7*v**4/60 + 52*v**2. Factor h(j).
-2*j*(j - 7)*(j - 1)/5
Let a be (-30)/20*28/(-6). Find q such that q + 2*q - a*q + 2*q**4 + 6*q**2 - 4*q**4 = 0.
-2, 0, 1
Suppose 0 = -108*o + 1300 + 1724. Factor -25/2*f**3 + o*f - 6 - 55/2*f**2.
-(f + 3)*(5*f - 2)**2/2
Let q(m) = m**3 + m**2 - m. Let i = 18 + -19. Let y(x) = 2*x**3 + 5*x**2 - 2*x - 2. Let h(l) = i*y(l) + 3*q(l). Solve h(n) = 0 for n.
-1, 1, 2
Let a = -1103 - -1116. Let n(u) be the third derivative of a*u**2 - 1/80*u**5 + 0 + 0*u**3 + 0*u - 1/32*u**4. Factor n(l).
-3*l*(l + 1)/4
Let h(x) = 3*x**2 + 21*x + 12. Let a be h(-7). Let t be 32/(-112)*(70/a)/(-5). Factor -2/3 - t*r**2 - r.
-(r + 1)*(r + 2)/3
Solve 0 + 2/9*u**2 - 4/9*u + 2/9*u**3 = 0.
-2, 0, 1
Let b(r) be the second derivative of 1/12*r**4 + 0*r**3 - 1/4*r**2 + 0 - 1/60*r**6 + 0*r**5 + 13*r. Factor b(y).
-(y - 1)**2*(y + 1)**2/2
Find b, given that -4/7*b**5 + 256/7 + 52/7*b**4 - 640/7*b - 256/7*b**3 + 592/7*b**2 = 0.
1, 2, 4
Let 0 - 5*f**3 + 4/3*f**5 + 11/3*f + 43/3*f**2 - 43/3*f**4 = 0. What is f?
-1, -1/4, 0, 1, 11
Let t(q) be the second derivative of -3/50*q**6 + 3/10*q**3 - 1/70*q**7 + 1/10*q**4 + 10*q + 0 - 3/50*q**5 + 3/10*q**2. Factor t(y).
-3*(y - 1)*(y + 1)**4/5
Let 1/3*b**5 + 34/3*b**3 - 25/3 + 14/3*b**2 + 11/3*b**4 - 35/3*b = 0. What is b?
-5, -1, 1
Let k = -2/6313 - -6329/50504. Let m(a) be the second derivative of -k*a**2 + 5*a + 0 + 0*a**3 + 1/48*a**4. What is s in m(s) = 0?
-1, 1
Let k(r) be the first derivative of -3*r**4/28 - 32*r**3/7 + 99*r**2/14 + 357. Solve k(j) = 0 for j.
-33, 0, 1
Let s = -245 + 250. Suppose 6*c - 5*q - 8 = 2*c, -6 = -3*c - s*q. Factor 2/11 - 4/11*x + 4/11*x**3 - 2/11*x**4 + 0*x**c.
-2*(x - 1)**3*(x + 1)/11
Let u = 14 + 2. Suppose u*f = 13*f. Factor 8 - 3*o + f*o**2 - 2*o**2 - 4*o**2 - 2 + 3*o**3.
3*(o - 2)*(o - 1)*(o + 1)
Let t(g) = -g**3 + 5*g**2 - 2*g - 4. Let v be t(3). Suppose o - 23 = -4*p, 0*o - 2*p = 3*o - 69. Solve v + o*i - 12*i - i + 2*i**2 = 0.
-4, -1
Let d(r) = -9*r + 6. Let m be d(3). Let h = 21 + m. Factor 0 - 3/5*t**2 + h*t.
-3*t**2/5
Let j(d) be the second derivative of 0 - 47*d - 5/3*d**3 + 4*d**2 + 1/6*d**4. Factor j(x).
2*(x - 4)*(x - 1)
Let t = -51742/7 - -7392. Factor -6/7 - 4/7*k + t*k**2.
2*(k - 3)*(k + 1)/7
Let v(m) = 12*m**4 - 82*m**3 + 1014*m**2 - 1365*m + 436. Let i(f) = -2*f**4 - f**3 - f**2 + 1. Let c(o) = -5*i(o) - v(o). Suppose c(u) = 0. What is u?
1/2, 1, 21
Let c(v) be the third derivative of -1/120*v**5 - 10*v**2 - 1/480*v**6 + 0*v + 0 - 1/96*v**4 + 0*v**3. Find i such that c(i) = 0.
-1, 0
Let b be (100/8*-1)/(-5). Factor -5/2 - b*v**2 - 5*v.
-5*(v + 1)**2/2
Let h(j) = 2*j + 43. Let w be h(-15). Find z such that 4*z**3 + 123*z**2 - 135*z**2 - w*z - 3*z = 0.
-1, 0, 4
Let t(y) = -y**3 - y**2 - 2*y - 1. Let d(a) = a**3 + 17*a**2 + 42*a + 3. Let z(p) = -d(p) - 3*t(p). Let z(f) = 0. Calculate f.
-2, 0, 9
Let d(l) = 6*l**2 + 21*l + 12. Let s be d(-3). Let a(f) be the second derivative of 4/7*f**2 + 0 - 11/35*f**5 - 2/3*f**s + 2*f - 20/21*f**4. Factor a(n).
-4*(n + 1)**2*(11*n - 2)/7
Let u(c) = -3*c - 4. Let t be u(2). Let y be 1 - ((-2)/t)/((-12)/(-30)). Solve -y*s**2 + 0 - s = 0 for s.
-2, 0
Factor 16/13 - 28/13*d + 6/13*d**2.
2*(d - 4)*(3*d - 2)/13
Let y(d) be the second derivative of d**4/96 - 13*d**3/24 - 363*d. Factor y(x).
x*(x - 26)/8
Let -40*w**4 + 25*w**5 + 2621*w**3 - 80*w**2 + 2637*w**3 - 5478*w**3 = 0. Calculate w.
-2, -2/5, 0, 4
Suppose 15 + 18 = -4*b + 5*v, -3 = -b + 5*v. Let w be ((-18)/b)/((-6)/(-8)). Factor -t**2 + 10*t + 3*t**2 + w*t - 8*t.
2*t*(t + 2)
Let l be (0 + (-2)/(-1))*(-18 + 26). Suppose 0 = 4*g + 5*k + 20, 2*k - 8 = -4*g - l. Factor 0 + 8/7*f**3 + 50/7*f**5 + 40/7*f**4 + 0*f + g*f**2.
2*f**3*(5*f + 2)**2/7
Let q(p) = p**3 - 2*p**2 - 2*p - 3. Let l be q(3). Let z = 2 + l. Let 0*s**2 - s**z + 3*s**2 = 0. What is s?
0
Suppose 22/3*f**3 + 40/3*f**2 + 1/3*f**4 + 0*f + 0 = 0. Calculate f.
-20, -2, 0
Let y be (-160 - -155) + 1 + (-89)/(-10). Let o(p) be the second derivative of -6*p - 14/3*p**4 + 0 + y*p**5 + 0*p**2 + 4/3*p**3. Suppose o(n) = 0. What is n?
0, 2/7
Let z(a) be the first derivative of a**6/33 - 4*a**5/55 - 3*a**4/11 + 16*a**3/33 + 5*a**2/11 - 12*a/11 - 340. Determine w so that z(w) = 0.
-2, -1, 1, 3
Let f = 1669 - 1669. Find w such that 6/11*w**2 + 4/11*w + f + 0*w**3 - 2/11*w**4 = 0.
-1, 0, 2
Suppose -55*l - 10*l + 330 = -10*l. Factor 2/9*r**3 + 6 + 2*r**2 + l*r.
2*(r + 3)**3/9
Let d(g) be the third derivative of -g**6/200 + g**5/25 - 526*g**2. Factor d(c).
-3*c**2*(c - 4)/5
Factor -12*j**2 + 147 + 36*j**2 + 30*j - 2*j**3 - 199.
-2*(j - 13)*(j - 1)*(j + 2)
Suppose 408 - 114 = 6*j. Let r = j - 49. Factor r*a**3 - 1/3*a**4 + 0*a**2 + 0*a + 0.
-a**4/3
Determine k, given that -2*k**3 + 2/3*k**4 + 0 + 2/3*k**5 + 4/3*k - 2/3*k**2 = 0.
-2, -1, 0, 1
Let n(a) be the third derivative of a**5/60 + 21*a**4/8 - 32*a**3/3 - a**2 + 71. Solve n(k) = 0 for k.
-64, 1
Let w(n) be the second derivative of -n**4/28 + 9*n**3/7 - 243*n**2/14 - 2*n + 42. Determine t so that w(t) = 0.
9
Let i(u) be the third derivative of u**10/982800 - u**9/131040 + u**8/65520 + 7*u**5/15 + 30*u**2. Let m(t) be the third derivative of i(t). Factor m(l).
2*l**2*(l - 2)*(l - 1)/13
Factor 4*d + 23*d + d**2 + 2*d.
d*(d + 29)
Suppose -9*t + 34 = 7. Solve 39*x + 15*x**3 - 14*x**t - 3*x**2 - 43*x = 0.
-1, 0, 4
Let y(w) = w**2 + 27*w + 53. Let a be y(-2). Suppose 2*s - 2*z - 6 = 0, 4 = -4*z - 0*z. Factor 0 + 2*v**s - 4/7*v - 6/7*v**a.
-2*v*(v - 2)*(3*v - 1)/7
Let g be 4/1912*4/12. Let s = g + 37277/10038. Factor -s*u**2 + 20/7*u + u**3 + 8/7.
(u - 2)**2*(7*u + 2)/7
Let h be (-1)/(-3) + 11/3. Let s(g) = 3*g**3 + 2*g**2 - 12*g - 20. Let n(l) = 6*l**3 + 3*l**2 - 24*l - 39. Let d(k) = h*n(k) - 9*s(k). Solve d(u) = 0.
-2, 2
Let w(r) be the first derivative of -5*r**6/12 - 13*r**5/10 + r**4/8 + 17*r**3/6 + r**2 - 2*r - 176. What is y in w(y) = 0?
-2, -1, 2/5, 1
Let m(l) be the third derivative of l**7/1050 - l**6/150 - l**5/150 + l**4/10 + 3*l**3/10 + 75*l**2. Solve m(o) = 0.
-1, 3
Let q(y) = 6*y**3 - 8*y**2 - 34*y