e third derivative of 1/70*j**7 + 1/5*j**5 + 1/8*j**6 + 0*j + 0*j**3 + 0*j**4 - 71*j**2 + 0. Let p(l) = 0. Calculate l.
-4, -1, 0
Let n be 16 + -12 - 1*3. Suppose -n = p - 4. Let -28*t + 58*t - 6*t**p - 6*t**2 - 32*t - 2*t**4 = 0. What is t?
-1, 0
Let n**5 + 82 - 358*n**2 + 354*n**2 - n**3 + n**5 + 162*n - 78*n**4 - 163*n**3 = 0. Calculate n.
-1, 1, 41
Let g(x) be the first derivative of x**7/420 + 4*x**6/135 + 17*x**5/180 + x**4/9 + 33*x**3 + 70. Let v(q) be the third derivative of g(q). Factor v(z).
2*(z + 1)*(z + 4)*(3*z + 1)/3
Let x be (12 + (-100)/8)/((-2)/8). Let j = -3 + 7. Suppose -q**4 - j*q**2 - 10*q + 19*q**x - 4*q**4 = 0. What is q?
-2, 0, 1
Let r(u) = 29*u**3 + 68*u**2 + 281*u + 18. Let c(y) = 25*y**3 + 70*y**2 + 280*y + 15. Let d(g) = -6*c(g) + 5*r(g). Factor d(s).
-5*s*(s + 5)*(s + 11)
Let z(v) = v**2 - v - 3. Let n(r) = 2*r**2 - 83*r - 9. Let a(f) = 2*n(f) - 6*z(f). What is x in a(x) = 0?
-80, 0
Let q(w) be the third derivative of -1/60*w**5 - 1/100*w**6 + 1/210*w**7 + 1/3360*w**8 + 0 - 2*w**2 - 31*w + 11/240*w**4 + 0*w**3. What is x in q(x) = 0?
-11, -1, 0, 1
Let x(j) = j**4 + j**3 - j**2 + j - 1. Let m(k) = 8*k**3 + k**2 - k - 3. Suppose -368 = 3*w - 353. Let b(r) = w*m(r) + 15*x(r). Factor b(i).
5*i*(i - 2)*(i + 1)*(3*i - 2)
Let h = 862 - 860. Let r(q) be the third derivative of -1/15*q**6 + 7*q**h + 2/3*q**3 - 11/12*q**4 + 0 + 13/30*q**5 + 0*q. Determine i so that r(i) = 0.
1/4, 1, 2
Let m be 2668/18 + (-6)/27. Suppose 3*n + y = 14, -91*n - 4 = -90*n - 4*y. Find x, given that 153*x**2 - 8*x - 3*x - m*x**2 - n*x = 0.
0, 3
Let h(d) be the second derivative of -d**7/12600 - 17*d**6/3600 - 2*d**5/75 - d**4/6 - 17*d**3/3 - 57*d. Let m(q) be the third derivative of h(q). Factor m(g).
-(g + 1)*(g + 16)/5
Let x(o) be the third derivative of 0*o**3 - 1/9*o**4 - 26*o**2 - 7/540*o**6 + 0*o + 1/945*o**7 + 8/135*o**5 + 1. Let x(q) = 0. Calculate q.
0, 2, 3
Let s(b) = 2*b**3 - 128*b**2 - 744*b - 1552. Let x(q) = q**3 - 85*q**2 - 497*q - 1034. Let f(h) = 5*s(h) - 8*x(h). Find l, given that f(l) = 0.
-8, -4
Let f(u) be the first derivative of 140 - u**3 - 3/5*u**5 + 0*u + 0*u**2 + 3/2*u**4. Factor f(n).
-3*n**2*(n - 1)**2
Factor 1/3*y**2 + 992/3*y + 0.
y*(y + 992)/3
Let j = -22802/3 - -108226/15. Let i = -385 - j. Let 24/5*w**2 + 0 + 3*w**3 + 12/5*w + i*w**4 = 0. What is w?
-2, -1, 0
Let l be ((-8)/((-64)/(-12)))/(-18). Let t(w) be the second derivative of 5*w + 0 + 1/72*w**4 + l*w**3 + 1/6*w**2. Find q, given that t(q) = 0.
-2, -1
Let z(q) be the second derivative of 95*q + 5/24*q**3 + 1/40*q**6 - 1/4*q**2 - 1/48*q**4 + 0 - 1/16*q**5. Solve z(r) = 0.
-1, 2/3, 1
Let q = 57411 + -168733/3. Let z = 1167 - q. Find u, given that 0*u + 0 + z*u**3 + 1/3*u**2 = 0.
-1, 0
Let h = -1028 - -1042. Let d be (-10 + 7 - -15)/h. Factor -2/7*x**3 + 2/7*x - d*x**2 + 6/7.
-2*(x - 1)*(x + 1)*(x + 3)/7
Let s be (-5)/(2982/(-108) + 27) - (1 - -7). Factor 2/11*f**3 - s*f**2 - 16/11 - 20/11*f.
2*(f - 4)*(f + 1)*(f + 2)/11
Let o(r) be the third derivative of 3/5*r**5 + 3/35*r**7 + 0 + r**2 - 1/168*r**8 - 45*r - 9*r**3 - 13/30*r**6 + 9/4*r**4. Factor o(z).
-2*(z - 3)**3*(z - 1)*(z + 1)
Let p(i) be the first derivative of 111/10*i**2 + 3/5*i**3 + 36/5*i + 83. Let p(c) = 0. Calculate c.
-12, -1/3
Let q(z) be the second derivative of 2/5*z**3 - 30*z - 2*z**2 - 1/60*z**4 + 0. Factor q(p).
-(p - 10)*(p - 2)/5
Factor -6 + 32/13*h - 2/13*h**2.
-2*(h - 13)*(h - 3)/13
Suppose -d - d - 2*o = -10, -d + 17 = 5*o. Find m such that -43*m**4 + 5*m**2 + m**3 + 38*m**4 - d*m**3 + m = 0.
-1, -1/5, 0, 1
Suppose -13 + 8 = -5*f. Let d be -2 - (4 + f + -9). Find l such that 7*l - 7*l**d - l**5 - 11*l + 0*l - 5*l**4 + 2*l - 9*l**3 = 0.
-2, -1, 0
Suppose 4 = -2*t + 10. Let f(q) = 4 + 25*q**t + q + 3*q - q**2 - 26*q**3. Let v(c) = 2*c**3 + 3*c**2 - 9*c - 9. Let d(x) = -9*f(x) - 4*v(x). Factor d(k).
k**2*(k - 3)
Let q(i) be the second derivative of -i**5/100 + 22*i**4/15 - 173*i**3/30 + 43*i**2/5 - 2002*i. Solve q(g) = 0 for g.
1, 86
Factor 1186*m**4 - 1719*m**3 + 5874 - 286*m**4 - 1778 - 27321*m**3 + 238096*m**2 - 61952*m.
4*(m - 16)**2*(15*m - 2)**2
Let j(f) = f**3 - 2*f**2 + 3*f - 4. Let t be j(2). Let u(m) = m**3 + 2*m**2 - 5*m - 8. Let a(o) = -o. Let q(r) = t*a(r) - 2*u(r). Factor q(b).
-2*(b - 2)*(b + 2)**2
Suppose -5*j + 22 = -13. Let a(w) = -2*w**2 + 15*w - 5. Let i be a(j). Factor -12*r + 0*r**i - 2*r**2 + 8*r.
-2*r*(r + 2)
Factor 1213/7*v**2 + 5772/7*v + 1/7*v**4 + 6084/7 - 74/7*v**3.
(v - 39)**2*(v + 2)**2/7
Find i, given that 1836454*i**3 - 12*i**2 - 6*i + 448 - 1836458*i**3 + 222*i = 0.
-8, -2, 7
Let g(q) = -12*q - 9. Let a be g(-3). Let r = a + -23. Factor -19*o - r*o**3 + 12 + 7*o - 16*o + 20*o**2.
-4*(o - 3)*(o - 1)**2
Suppose -221*s - 437 + 2465 = -52*s. Let g(r) be the first derivative of -4/11*r - 21/11*r**2 - 38/33*r**3 - s. Factor g(v).
-2*(v + 1)*(19*v + 2)/11
Factor 312*c + 3/4*c**3 + 111/4*c**2 + 960.
3*(c + 5)*(c + 16)**2/4
Let d be (-24)/(-9)*(-21)/(-4). Let m = d - -7. Factor 20*f + 5*f**4 + m*f**3 + 21*f**2 + 4*f**3 + 19*f**2.
5*f*(f + 1)*(f + 2)**2
Determine x so that 0*x**2 + 2/5*x**5 - 4*x**3 + 0 + 18/5*x + 0*x**4 = 0.
-3, -1, 0, 1, 3
Let x(i) = -3*i**4 + 6*i**3 - 39*i**2 - 39*i - 3. Let o(f) = 10*f**4 - 22*f**3 + 156*f**2 + 155*f + 11. Let p(l) = 3*o(l) + 11*x(l). Solve p(v) = 0 for v.
-3, -1, 0, 4
Let x be ((-2)/(-5))/((-106)/(-318)). Let z = 116 + -577/5. Factor z*s + x*s**2 - 3/5*s**3 - 6/5.
-3*(s - 2)*(s - 1)*(s + 1)/5
Suppose -8*v = -28*v - 220. Let r be 0 - (v + 847/(-22)). Find a, given that -r*a**2 + 0 + 15/2*a**4 + 15*a + 27*a**3 = 0.
-5, 0, 2/5, 1
Let y = -117 - -153. Suppose y - 11 = 5*s. Solve -1/4*d**s + 3/4*d**3 + 0 + 1/4*d**4 - 1/4*d**2 - 1/2*d = 0.
-1, 0, 1, 2
Suppose 9*q + 2 = 29. Let g be (-3 - (-7 + q)) + (-12)/(-1). Factor -25*i - 4*i**2 + 2*i**5 + g*i - 5*i**3 + 18*i - 3*i**3 + 4.
2*(i - 2)*(i - 1)*(i + 1)**3
Let f(s) be the second derivative of s**7/28 - 37*s**6/20 - 57*s**5/20 - 922*s. Factor f(j).
3*j**3*(j - 38)*(j + 1)/2
Let x(b) be the third derivative of -b**8/1680 + b**7/75 - 17*b**6/200 - 9*b**5/50 + 9*b**4/2 - 108*b**3/5 + 19*b**2 - b - 4. Suppose x(r) = 0. What is r?
-3, 2, 3, 6
Let j = -55 + 31. Let x = 29 + j. Factor 24*o - 4*o**2 + 2*o**2 + 48 + 0*o**2 + x*o**2.
3*(o + 4)**2
Let v(w) be the third derivative of w**7/105 - 17*w**6/15 + 262*w**5/5 - 3536*w**4/3 + 43264*w**3/3 - 10*w**2 + 19*w - 2. Factor v(t).
2*(t - 26)**2*(t - 8)**2
Let u(v) be the first derivative of -3 - 3/10*v**4 + 0*v**2 + 0*v**3 + 2/25*v**5 + 0*v. Solve u(i) = 0 for i.
0, 3
Suppose -10624 = -12*f + 2552. Factor 37*o**2 + 52*o**2 + 82*o**2 - f*o + 3*o**3 + 20577 + 4347*o.
3*(o + 19)**3
Determine z so that 15*z + 26162*z**3 - 109443*z**4 + 86633*z**3 - 7936*z**3 + 4536*z**2 + 33*z = 0.
-4/191, 0, 1
Let w(i) be the first derivative of 2/11*i**4 - 28/33*i**3 - 7/33*i**6 + 24/55*i**5 + 3/11*i**2 + 4/11*i + 99. Suppose w(k) = 0. What is k?
-1, -2/7, 1
Suppose -r - 2*a + 32 = -4*r, 4*a = -2*r - 32. Let c be ((-308)/r)/7 - (-2 - -3). Suppose 16/3*l + 0 - c*l**2 + 1/3*l**3 = 0. Calculate l.
0, 4
Let x(r) = 5*r**3 - 3*r**2 + 2*r + 5. Let d be x(-2). Let w be d/(-21) + 18/(-42). Let p**2 - 5*p**2 + 0*p + 12*p + 6*p**w = 0. What is p?
-6, 0
Let g(h) = -2*h**3 - 8*h**2 - 6*h - 8. Let u be g(-3). Let m be (((-34)/u)/(-17))/(-1). Factor 5/4*q + 1 + m*q**2.
(q + 1)*(q + 4)/4
Let x be 14/20*(25/(-4))/(985/394)*-3. Determine f, given that -99/4*f - 1/4*f**3 + 121/4 - x*f**2 = 0.
-11, 1
Factor -9*s**2 + 5*s**4 + 88915*s - 88655*s - 65*s**3 - 11*s**2.
5*s*(s - 13)*(s - 2)*(s + 2)
Let m be (6 - (-21)/(-3))*-3. Let -13*f - m*f + 4*f**2 + 20*f = 0. Calculate f.
-1, 0
Let a = -7201/4 + 1801. Let q(m) be the second derivative of -10*m - 1/32*m**4 - a*m**2 + 0 + 5/16*m**3. Solve q(b) = 0 for b.
1, 4
Suppose w = -w + 994. Let y = w + -495. Factor 6*c**3 - 7/3*c**4 + 0 + 8/3*c - 20/3*c**y + 1/3*c**5.
c*(c - 2)**3*(c - 1)/3
Factor -835/8*m - 17/8*m**2 - 49/4.
-(m + 49)*(17*m + 2)/8
Let n(w) be the third derivative of w**5/20 - 265*w**4/18 - 118*w**3/9 + 802*w**2 - 3*w. What is i in n(i) = 0?
-2/9, 118
Let f be (5 - (-54493)/(-13460)) + 8/(-40). Let v = f - 1/673. What is g in v*g**2 - 3/2*g + 0 + 3/2*g**3 - 3/4*g**4 = 0?
-1, 0, 1, 2
Suppose 2*q = -5*f + 135, -5*q - 84 = -3*f - 