+ 2*v**5/5 + 2*v**4 - 8*v**3/3 - 24*v**2 - 18*v. Solve o(w) = 0.
-3, -2, 2
Factor 24*f**3 - 144*f**4 + 140*f**4 - 121*f**2 + 24*f + 77*f**2.
-4*f*(f - 3)*(f - 2)*(f - 1)
Let o(v) be the third derivative of -v**6/24 + 11*v**5/12 - 5*v**4 - 30*v**3 + v**2 + 15*v. Factor o(z).
-5*(z - 6)**2*(z + 1)
Let h = -22 + 24. Let n(j) = -3*j - 3. Let w be n(-2). Factor -18*u**2 - 2*u**4 + 2*u**w + 2*u**3 - h*u**3 + 10*u**3.
-2*u**2*(u - 3)**2
Let h(u) = -2*u**3 + 6*u**2 - u. Suppose 2*v - 16 = -12. Let z(i) = i**3 - i**2 - 1. Let q(g) = v*h(g) + 6*z(g). Determine r so that q(r) = 0.
-3, -1, 1
Factor -2/3*r**3 - 16 + 22/3*r**2 + 28/3*r.
-2*(r - 12)*(r - 1)*(r + 2)/3
Let o(a) = -7*a**2 - 332*a + 117. Let w(y) = -11*y**2 - 498*y + 175. Let d(z) = -7*o(z) + 5*w(z). Factor d(p).
-2*(p + 28)*(3*p - 1)
Let c(o) = -6*o**2 - 3051*o + 108891. Let l(z) = -z**2 - 436*z + 15556. Let q(t) = -4*c(t) + 27*l(t). Solve q(k) = 0 for k.
72
Factor -1734*a**3 - 3103*a - 3133*a + 4 - 119*a**2 + 6280*a.
-(6*a - 1)*(17*a + 2)**2
Suppose -11*l + 576 = 543. Let v(y) be the second derivative of 1/2*y**l + 0 - 5*y - 1/12*y**4 - y**2. Let v(i) = 0. What is i?
1, 2
What is p in -126*p**3 - 2*p**5 + 26*p**4 + 120 - 24 - 74*p**2 + 352*p**2 - 272*p = 0?
1, 3, 4
Factor -8 - 14/3*m - 1/3*m**2.
-(m + 2)*(m + 12)/3
Let f(b) be the second derivative of -b**4/18 - 14*b**3/3 - 147*b**2 + 52*b. Solve f(c) = 0 for c.
-21
Let h be 5*(-14)/(-175) + (-4)/10. Let g(n) be the third derivative of -7/24*n**4 - 49/240*n**5 + h*n + 13*n**2 - 1/6*n**3 + 0. Factor g(u).
-(7*u + 2)**2/4
Let p(m) be the second derivative of -m**7/11340 + m**6/1080 - m**5/270 - m**4/6 + 3*m. Let i(q) be the third derivative of p(q). Factor i(r).
-2*(r - 2)*(r - 1)/9
Suppose 0 = 3*p - 2*v - 11, 18*v - 16*v = 4*p - 14. Let g be (9/21)/((-2)/(-7)). Suppose 1/4 + u + 1/4*u**4 + u**p + g*u**2 = 0. Calculate u.
-1
Let t(r) be the third derivative of -r**6/2340 + r**5/130 + 5*r**3/6 - 17*r**2. Let c(x) be the first derivative of t(x). Factor c(m).
-2*m*(m - 6)/13
Suppose -3*b - 5 = -2. Let v be -4 - (4 - 9) - b. Suppose 0 + 1/5*z**3 + 4/5*z + 4/5*z**v = 0. Calculate z.
-2, 0
Let k(q) be the second derivative of -3*q**5/20 - q**4/2 + 10*q**3 - 36*q**2 - 3*q - 2. Let k(j) = 0. Calculate j.
-6, 2
Let q be (-3068)/112 + -6 - (-1)/7. Let u = 183/4 + q. Determine z, given that 0 - u*z**4 - 35*z**3 - 22*z**2 - 4*z = 0.
-2, -2/5, 0
Let b(f) be the second derivative of -f**8/8960 + f**7/3360 + f**6/480 + 19*f**4/12 + 23*f. Let o(s) be the third derivative of b(s). Factor o(k).
-3*k*(k - 2)*(k + 1)/4
Let r(q) be the first derivative of -4*q**5/5 + 19*q**4/4 + 5*q**3/3 + 36. Factor r(f).
-f**2*(f - 5)*(4*f + 1)
Let t(f) be the third derivative of 0*f**3 + 0 + 3*f**2 + 1/1848*f**8 - 4/1155*f**7 + 1/132*f**4 + 0*f + 1/110*f**6 - 2/165*f**5. Factor t(a).
2*a*(a - 1)**4/11
Suppose -20 = 5*b, 3*v + 5*b + 35 = 21. Factor 5/2 + v*m**2 - 21/2*m.
(m - 5)*(4*m - 1)/2
Let k(r) be the third derivative of -5/6*r**4 + 0 - 5/24*r**6 + 4/3*r**5 - 1/6*r**7 + 11*r**2 + 0*r**3 + 0*r. Factor k(i).
-5*i*(i - 1)*(i + 2)*(7*i - 2)
Let w = -1913/6 + 319. Let z(v) be the first derivative of w*v**3 - 1/4*v**2 + 4 + 0*v. Factor z(y).
y*(y - 1)/2
Let x = -20 - -22. Suppose -l**3 + x*l**2 + 0*l**2 + 2*l**3 + 0*l**2 = 0. Calculate l.
-2, 0
Suppose b - 19 = -3. Find i, given that -4 + b*i**2 - 6*i**2 - 9*i**2 - 3*i + 0*i = 0.
-1, 4
Let w(v) be the first derivative of -v**6/240 - v**5/40 + 3*v**4/16 - v**3/3 + 10. Let h(c) be the third derivative of w(c). Determine k, given that h(k) = 0.
-3, 1
Factor -8/7 + 10/7*p**2 - 4/7*p**4 + 4/7*p - 1/7*p**5 - 1/7*p**3.
-(p - 1)**2*(p + 2)**3/7
Let l(g) = -3*g + 2*g**2 + 5 + 3*g - 3 - 2*g. Let k be l(1). Solve 63*o**2 + o**5 - 22*o**3 + 8*o + 13*o**5 - 87*o**k + 24*o**4 = 0 for o.
-2, -1, 0, 2/7, 1
Factor 366*o - 38*o**4 + 68*o**4 - 366*o - 3*o**5 - 27*o**3.
-3*o**3*(o - 9)*(o - 1)
Let y(w) be the second derivative of w**7/21 - w**6/3 + 3*w**5/5 + w**4/3 - 7*w**3/3 + 3*w**2 - 21*w. Factor y(h).
2*(h - 3)*(h - 1)**3*(h + 1)
Let g(y) be the second derivative of -y**7/42 + y**6/5 - 7*y**5/20 - y**4/2 + 4*y**3/3 - 126*y - 2. Let g(f) = 0. What is f?
-1, 0, 1, 2, 4
Let j be 45/((-15)/3) + (-819)/(-63). Factor -j*y**3 + 0*y - 4/5*y**4 + 24/5*y**2 + 0.
-4*y**2*(y - 1)*(y + 6)/5
Let c(d) = -d**3 + 6*d**2 - 9*d. Suppose 0*x - 5*x = -f + 8, 4*f - x - 13 = 0. Let b be c(f). Factor -4/3*u**3 + u**4 + b*u + 1/3*u**2 + 0.
u**2*(u - 1)*(3*u - 1)/3
Let f be 8/(-1) - (-7 - (-3 + -1)). Let a be (-5)/20*6 + f/(-3). Factor 7/6*p**5 - 19/6*p**4 + 0 + 5/2*p**3 - 1/3*p - a*p**2.
p*(p - 1)**3*(7*p + 2)/6
Let l be (-6)/4*(0 - 4). Suppose -2*z - l = 0, -p = 5*z + 6 + 5. What is g in -2*g**3 + 3*g**5 - p*g**3 + 2*g**4 + 7*g - 4*g**3 - 1 - 1 = 0?
-2, -1, 1/3, 1
Let d be -2 - (38/(-7) + 0). Let k be (-4 - -5) + 1/(-21)*3*-1. Find t, given that -k - 10/7*t**2 + d*t = 0.
2/5, 2
Let j = 182 + -186. Let a be (570/100 - 3) + 6/j. Factor 0 - 2/5*i**2 - a*i.
-2*i*(i + 3)/5
Let l(j) be the third derivative of -54*j**8/7 - 132*j**7/35 + 2687*j**6/240 - 271*j**5/40 + 2*j**4 - j**3/3 - 2*j**2 + 42. Solve l(w) = 0 for w.
-1, 1/8, 2/9
Solve 606*w**2 + 174*w - 21/2*w**3 + 0 = 0.
-2/7, 0, 58
Let l(y) be the first derivative of -27*y**4/32 - 7*y**3/8 + 3*y**2/8 + 302. Let l(a) = 0. What is a?
-1, 0, 2/9
Let z be 1 + 4*5/10. Factor 2/3*o**2 - 1/3*o + 0 - 2/3*o**4 + 1/3*o**5 + 0*o**z.
o*(o - 1)**3*(o + 1)/3
Let x = 2/589 - -460588/2945. Let n = 157 - x. Suppose n + 0*i - 3/5*i**2 = 0. What is i?
-1, 1
Let w(q) be the second derivative of -65*q**4/12 + 325*q**3/6 + 415*q**2/2 - 27*q. Let r(x) = 7*x**2 - 36*x - 46. Let l(t) = 55*r(t) + 6*w(t). Factor l(a).
-5*(a + 2)*(a + 4)
Let m(h) be the third derivative of -h**5/150 - 12*h**4/5 - 1728*h**3/5 + 24*h**2. Factor m(j).
-2*(j + 72)**2/5
Suppose w - 14 = -4*y, -2*y + 3*y - 11 = -4*w. Let a be 16/(-20)*10/(-4). Find v, given that 4*v + v**2 - 5*v**w + a*v**3 - 2*v = 0.
0, 1
Let h(z) be the second derivative of 224*z**6/15 + 1656*z**5/5 - 123*z**4 - 266*z**3/3 + 60*z**2 - 217*z - 2. Determine o so that h(o) = 0.
-15, -2/7, 1/4
Let o = -232 + 170. Let t be (12/10)/(-2) + o/(-70). Find a, given that t*a**5 + 72/7*a**3 + 20/7*a**4 + 0 + 54/7*a + 108/7*a**2 = 0.
-3, -1, 0
Suppose -2*x + 36 = 4*l + x, 9 = l + 4*x. Suppose -7*y = -2*q - 2*y + 6, -3*q + l = y. Suppose 0*i**2 + 1/4 + 1/8*i**q - 3/8*i = 0. Calculate i.
-2, 1
Let p(t) be the third derivative of -t**9/15120 - t**8/5040 - t**5/5 + 16*t**2. Let z(h) be the third derivative of p(h). Factor z(w).
-4*w**2*(w + 1)
Let g = 18 + -26. Let p be (-68)/g + (-1)/(-2). Find c, given that p*c**2 + 20*c**2 + 4*c**4 + 16*c**4 + 20*c + 4 + 4*c**5 + 11*c**2 + 40*c**3 = 0.
-1
Let g(a) = -a**2 + 19*a + 29. Let y be g(20). Factor 4*n**5 - 3*n**5 + n**3 - 7*n**4 + y*n**4.
n**3*(n + 1)**2
Let m(t) be the second derivative of -3*t**5/20 + 2*t**4/3 - 2*t**3/3 + 88*t. Determine u, given that m(u) = 0.
0, 2/3, 2
Let y be (8/6)/(1120/336). Let -y*f**3 - 4/5*f + 0 + 6/5*f**2 = 0. Calculate f.
0, 1, 2
Factor 9*j**2 - 3/5*j**4 + 18/5 - 9/5*j**3 - 51/5*j.
-3*(j - 1)**3*(j + 6)/5
Suppose -9*t + 14*t = -2*q - 34, 30 = -2*q - 3*t. Let j be 3/(q/7) - -2. Determine c so that -j*c**3 + 1/4*c**2 + 1/4*c + 0 - 1/4*c**4 = 0.
-1, 0, 1
Let l(z) = -z**3 - 12*z**2 + z + 16. Let t be l(-12). Factor t*g + 27*g**2 + g + 48*g**4 + 72*g**3 - 2*g.
3*g*(g + 1)*(4*g + 1)**2
Let v(b) be the third derivative of -b**6/30 - 11*b**5/5 + 17*b**4/3 - 130*b**2. Determine u so that v(u) = 0.
-34, 0, 1
Suppose 0 = -7*n + 2*n + 20. Determine a so that 5*a - 58*a**5 + 6*a**2 + 4*a**2 - 10*a**n + 53*a**5 = 0.
-1, 0, 1
Suppose 4*p + 4*r + 8 = 0, 3*r + 6 = 4*p - p. Determine m so that -4*m**4 + 2*m**2 + 2*m**4 + 3*m**5 + p*m**4 - 3*m**3 = 0.
-1, 0, 2/3, 1
Suppose -11*a + 18 = -37. Let z(w) be the third derivative of 0*w**3 + 1/525*w**7 + 1/30*w**4 + 1/30*w**a + 0 + 0*w + 1/75*w**6 - 2*w**2. Factor z(h).
2*h*(h + 1)**2*(h + 2)/5
Let a(c) be the first derivative of 1/7*c**2 - 1/14*c**4 + 8/21*c**3 - 4 - 8/7*c. What is i in a(i) = 0?
-1, 1, 4
Suppose 0 = 126*k - 128*k + 4. Let h(a) be the second derivative of -a**k + 0 + 9*a + 1/2*a**3 + 5/12*a**4. Solve h(x) = 0 for x.
-1, 2/5
Let q(o) be the third derivative of o**8/420 - o**6/50 - 2*o**5/75 + 2*o*