. What is o?
-2, -1, 1, 2
Suppose 2*b - 6*b - 20 = 0. Let c(m) = -5*m - 7. Let t be c(b). Factor -3*w - 2*w - t - w - 2*w**2 - 6*w.
-2*(w + 3)**2
Let f(d) be the first derivative of -d**3/3 - d**2 + 107. Let f(j) = 0. Calculate j.
-2, 0
Let c = -3 + 19. Determine m so that 7 - 7 + 4*m**2 - 8*m**2 - c*m = 0.
-4, 0
Let y(g) be the second derivative of 5/3*g**3 - 15*g + 0*g**2 + 0 + 5/4*g**5 - 35/12*g**4. Factor y(d).
5*d*(d - 1)*(5*d - 2)
Let -48/5*n + 0 - 2/5*n**2 = 0. What is n?
-24, 0
Let g(r) be the third derivative of r**7/1050 + r**6/600 - r**5/75 - r**4/30 - 79*r**2. Factor g(a).
a*(a - 2)*(a + 1)*(a + 2)/5
Factor 0 - 2/9*z - 2/9*z**4 + 2/9*z**2 + 2/9*z**3.
-2*z*(z - 1)**2*(z + 1)/9
Let d(c) be the third derivative of c**5/100 - 27*c**4/20 - 56*c**3/5 - 16*c**2 + 5. Factor d(b).
3*(b - 56)*(b + 2)/5
Let n be (3 - 8/1) + 4 + (-5)/(-2). Find w such that 9/2*w**3 - 3/2*w**5 - 3*w + 3/2*w**4 - n*w**2 + 0 = 0.
-1, 0, 1, 2
Let g(m) be the third derivative of -m**7/315 - 7*m**6/90 + 8*m**5/15 - 25*m**4/18 + 17*m**3/9 + 131*m**2. Suppose g(d) = 0. What is d?
-17, 1
Let n(s) be the first derivative of -2*s**5/105 + s**4/7 - 26*s**3/63 + 4*s**2/7 - 8*s/21 - 80. Factor n(x).
-2*(x - 2)**2*(x - 1)**2/21
Let d = 1537/234 + -9/26. Determine f, given that -32/3*f**2 - d*f - 20/9*f**4 - 4/3 - 8*f**3 = 0.
-1, -3/5
Determine a, given that 65/3*a**3 - 76/3*a - 15*a**2 - 4 + 11/3*a**5 + 19*a**4 = 0.
-3, -2, -1, -2/11, 1
Let h be 2/8*10/(-17 + 27). Let m(c) be the first derivative of 0*c + 0*c**3 - h*c**4 + 1/6*c**6 + 0*c**2 + 0*c**5 - 10. What is r in m(r) = 0?
-1, 0, 1
Solve 165*t + 4*t**3 + 180 - 6430*t**2 + 6480*t**2 + t**3 = 0.
-4, -3
Let n = 76 + -60. Factor 3*u**2 - 1 - u**2 + n*u + 15.
2*(u + 1)*(u + 7)
Let z(d) be the third derivative of -d**9/241920 + d**7/20160 + 7*d**5/20 - 9*d**2. Let x(v) be the third derivative of z(v). What is u in x(u) = 0?
-1, 0, 1
Let b be (-5)/25 - 6*34/(-20). Let u = 12 - b. Factor 1/3*p**u + 0 + p.
p*(p + 3)/3
Factor 0*l + 3/7*l**4 - 12/7*l**2 + 0 + 0*l**3.
3*l**2*(l - 2)*(l + 2)/7
Let k(l) be the third derivative of l**5/120 - l**4/12 + 2*l**2 - 125*l. Let k(y) = 0. What is y?
0, 4
Let b(g) = 2*g**2 + 153*g - 71. Let r(m) = 2*m**2 + 154*m - 70. Let u(o) = 5*b(o) - 4*r(o). Determine t, given that u(t) = 0.
-75, 1/2
Factor -4*p**5 - 1587*p - 1714*p**3 + 3312*p**2 + 42*p**4 + p**5 + 102*p**4 - 152*p**3.
-3*p*(p - 23)**2*(p - 1)**2
Let r(a) be the third derivative of 1/105*a**5 + 0 - 2/735*a**7 + 0*a**3 - 1/210*a**6 - 17*a**2 + 0*a + 1/42*a**4. Find p such that r(p) = 0.
-1, 0, 1
Let a(i) = -7*i**2 - 21*i + 18. Let v(y) = -13*y**2 - 42*y + 36. Let c(j) = -5*a(j) + 2*v(j). Solve c(o) = 0.
-3, 2/3
Let c(z) be the third derivative of -z**9/40320 + z**8/2240 - z**5/2 + 28*z**2. Let j(u) be the third derivative of c(u). Suppose j(b) = 0. Calculate b.
0, 6
Let v(x) = -7*x - 7. Suppose 3*r = -24 + 3. Let m be v(r). Let -m - 2*a**2 + 3*a**2 + 41 = 0. Calculate a.
-1, 1
Factor -39/8*a + 15/4 + 3/4*a**2 + 3/8*a**3.
3*(a - 2)*(a - 1)*(a + 5)/8
Let o(v) be the first derivative of 2*v**3/11 + 6*v**2 - 57. Factor o(z).
6*z*(z + 22)/11
Let p(q) be the third derivative of q**8/480 + q**7/175 - q**6/48 - 11*q**5/300 + 3*q**4/20 - 2*q**3/15 + 24*q**2 + 1. Solve p(y) = 0.
-2, 2/7, 1
Factor 2/5*q**2 + 48/5*q + 126/5.
2*(q + 3)*(q + 21)/5
Let s(a) be the second derivative of -35/12*a**4 + 25*a - 30*a**2 - 40/3*a**3 + 2 - 1/4*a**5. Factor s(j).
-5*(j + 2)**2*(j + 3)
Let s(r) be the third derivative of r**6/660 - r**5/330 - 5*r**4/11 - 36*r**3/11 + 200*r**2 + 2*r. Factor s(p).
2*(p - 9)*(p + 2)*(p + 6)/11
Let x(m) be the third derivative of m**6/15 - m**5/10 - 3*m**4/2 - 11*m**3/3 - 294*m**2. Factor x(y).
2*(y + 1)**2*(4*y - 11)
Let n(o) = -8*o. Let c be n(-1). Let v = -5869 + 5872. Factor 36/7*g + 4/7*g**5 + c*g**v + 64/7*g**2 + 8/7 + 24/7*g**4.
4*(g + 1)**4*(g + 2)/7
Let -8/3 + 2/3*b**2 - 1/3*b**3 + 4/3*b = 0. Calculate b.
-2, 2
Solve m**2 + 0*m**2 - 9*m**2 + 130*m + 3*m**2 = 0.
0, 26
Suppose -5*f - o = -0 - 6, 4*f + 4*o + 8 = 0. Suppose -2*b**4 + 4 - 2*b**4 - 10*b**3 + 8*b - f*b**3 + 4*b**3 = 0. What is b?
-1, 1
Let m(b) be the third derivative of b**6/440 - 67*b**5/660 + 35*b**4/24 - 11*b**3/6 - 136*b**2 - 2. Factor m(s).
(s - 11)**2*(3*s - 1)/11
Let o(k) be the first derivative of 544/3*k**3 + 50/3*k**6 - 216*k**4 + 416*k**2 + 192*k + 2 - 4*k**5. Find n, given that o(n) = 0.
-3, -2/5, 2
Let j(k) be the third derivative of k**10/378000 - k**9/75600 + k**8/50400 + k**5/10 + 7*k**2. Let g(q) be the third derivative of j(q). Factor g(r).
2*r**2*(r - 1)**2/5
Suppose -2*b + 20 = 4*s, 2*b + 24 = 36. Solve 12*t**3 - 22/7*t**4 - 108/7*t**s - 54/7*t + 162/7 + 2/7*t**5 = 0 for t.
-1, 3
Let w(v) be the third derivative of v**8/168 + v**7/105 - v**6/60 - v**5/30 - 2*v**2 + 56*v. Factor w(o).
2*o**2*(o - 1)*(o + 1)**2
Let x(d) = 35*d**3 + 35*d**2 - 145*d + 25. Let i(l) be the first derivative of -3*l**4/4 - l**3 + 6*l**2 - 2*l + 30. Let r(q) = -25*i(q) - 2*x(q). Factor r(z).
5*z*(z - 1)*(z + 2)
Let f be -1*(72/(-8) - -9). Let t(b) be the first derivative of 8 + 0*b**2 + f*b - 1/20*b**4 - 2/15*b**3 + 1/25*b**5. What is y in t(y) = 0?
-1, 0, 2
Suppose t + m = 2, 28 = 5*m + 18. Factor -8/7*v**4 + 0*v + 0*v**2 + 2/7*v**5 + t + 8/7*v**3.
2*v**3*(v - 2)**2/7
Let r be -26 + 29 - 0/3. Let u(b) be the first derivative of -r*b**2 - b**3 + 0*b - 8 + 3/4*b**4. Factor u(c).
3*c*(c - 2)*(c + 1)
Let t(r) be the first derivative of -r**4/16 - 23*r**3/2 - 1587*r**2/2 - 24334*r - 33. Factor t(d).
-(d + 46)**3/4
Suppose 12 = 4*w - 3*w. Factor 3*k**3 + 81*k + 9*k**2 + 6*k**2 - 57*k + w.
3*(k + 1)*(k + 2)**2
Let h(k) = 12*k**2 + 304*k - 932. Let w(a) = -4*a**2 - 102*a + 309. Let g(l) = -3*h(l) - 8*w(l). What is b in g(b) = 0?
-27, 3
Let y(g) be the second derivative of g**7/105 - 11*g**6/75 - 4*g**5/5 - 14*g**4/15 - 850*g. Find b, given that y(b) = 0.
-2, -1, 0, 14
Let h(i) = -2*i**3 + 37*i**2 - 45*i - 99. Let b be h(17). Factor -4/5*f + 4/5 - 4/5*f**2 + 4/5*f**b.
4*(f - 1)**2*(f + 1)/5
Let d(p) be the first derivative of p**2/2 - 8*p + 3. Let s be d(11). Factor 7 - s + 4*q**4 + q**5 - 3*q**2 - 4*q**2 - q**4 - q**3.
(q - 1)**2*(q + 1)*(q + 2)**2
Suppose 0 = 20*d + 40*d - 240. Factor 0 + 12*o**2 + 1/4*o**d + 16*o + 3*o**3.
o*(o + 4)**3/4
Let y = 8329/120 + -208/3. Let o(c) be the second derivative of 0 - 1/8*c**4 + y*c**5 + 8*c - 1/4*c**3 + 0*c**2 + 1/20*c**6. Factor o(j).
3*j*(j - 1)*(j + 1)**2/2
Factor -1/3*l**2 - 43/3 - 44/3*l.
-(l + 1)*(l + 43)/3
Let z = 2892 - 2889. Factor 5/6*d**4 + 10*d**2 - 5*d**z - 25/3*d + 5/2.
5*(d - 3)*(d - 1)**3/6
Let q(t) be the third derivative of t**6/480 - 19*t**5/120 + 33*t**4/8 - 27*t**3 + 2*t**2 + 38. Find g such that q(g) = 0.
2, 18
Let j(d) be the second derivative of -1/3*d**4 + 2/9*d**3 + 0*d**2 + 0 + 1/12*d**5 - 5*d. Factor j(i).
i*(i - 2)*(5*i - 2)/3
Factor 2/13*s**3 + 72/13 - 8/13*s - 18/13*s**2.
2*(s - 9)*(s - 2)*(s + 2)/13
Let r = 307/3 + -101. Let o(l) be the second derivative of 0 + l**4 + 0*l**2 + 10*l + 1/5*l**5 + r*l**3. Factor o(p).
4*p*(p + 1)*(p + 2)
Let f(m) be the first derivative of -m**6/6 + 3*m**5/2 - 15*m**4/4 + m - 8. Let q(k) be the first derivative of f(k). Let q(d) = 0. Calculate d.
0, 3
Let h(z) = -2*z**2 + 37*z - 165. Let c be h(9). Let 0*a - 3/2*a**3 + 9/2*a**2 - c = 0. What is a?
-1, 2
Solve 97*w - 14*w**4 - 17*w - 15*w**5 - 26*w**4 + 40*w**3 + 0*w**4 + 160*w**2 = 0.
-2, -2/3, 0, 2
Let s(g) be the third derivative of 2/25*g**5 - 16*g**2 - 1/560*g**8 + 0*g + 0 - 4/175*g**7 + 0*g**3 + 2/5*g**4 - 3/40*g**6. Solve s(a) = 0.
-4, -1, 0, 1
Let n(h) be the second derivative of -4/15*h**3 + 19*h + 0*h**2 + 0 - 2/75*h**6 - 4/25*h**5 - 1/3*h**4. Factor n(i).
-4*i*(i + 1)**2*(i + 2)/5
Let -274*z**2 - 280*z**2 + 25*z + 556*z**2 - 101*z = 0. Calculate z.
0, 38
Let l(c) be the first derivative of -2*c**3/15 - 2*c**2/5 + 16*c/5 + 28. Determine x, given that l(x) = 0.
-4, 2
Determine s so that 2/15*s**5 + 0*s + 0 - 2/15*s**4 - 8/5*s**3 + 0*s**2 = 0.
-3, 0, 4
Suppose -4*t = 14 - 22. Solve 9*s + s**2 - 12 + s + 3*s**t + 18 = 0 for s.
-3/2, -1
Let m(c) be the third derivative of c**8/504 - c**6/60 - c**5/45 - 3*c**2 + 5. Suppose m(q) = 0. What is q?
-1, 0, 2
Let 38*h - 7*h**2 - 6*h**3 - 2*h**2 + 6 + 3*h**5 + 6*h**4 - 3*h**2 