e first derivative of -1/2*l**2 - 1/3*l**3 + k*l - 4. Suppose q(i) = 0. Calculate i.
-1, 0
Let j(y) be the first derivative of 0*y - y**2 + 1/6*y**3 - 3 + 0*y**4 - 1/60*y**5. Let r(u) be the second derivative of j(u). Determine x so that r(x) = 0.
-1, 1
Factor -72*j**2 + 324 + 22*j**4 + 21*j**4 - 39*j**4.
4*(j - 3)**2*(j + 3)**2
Let h(s) be the third derivative of -s**8/20160 + s**7/1680 - s**6/360 - s**5/15 + 27*s**2. Let a(q) be the third derivative of h(q). Factor a(g).
-(g - 2)*(g - 1)
Let x = 29 - 30. Let j(t) = t**2 - 17*t + 31. Let h(d) = d**2 + d + 1. Let c(k) = x*h(k) - j(k). Factor c(z).
-2*(z - 4)**2
Suppose 92/3*y + 10 + 2/3*y**4 + 32*y**2 + 12*y**3 = 0. What is y?
-15, -1
Determine v, given that 40*v**3 + 320*v + 200*v**2 + 0 + 5/2*v**4 = 0.
-8, -4, 0
Let t(y) be the first derivative of -y**6/8 - 21*y**5/20 - 57*y**4/16 - 25*y**3/4 - 6*y**2 - 3*y + 112. Factor t(m).
-3*(m + 1)**3*(m + 2)**2/4
Let h = -123 - -125. Suppose u = 3*f - 1, -2*f - h*f = -3*u - 3. Factor -2/5*y**5 + 0 - 2/5*y**3 + 0*y - 4/5*y**4 + f*y**2.
-2*y**3*(y + 1)**2/5
Suppose s = 1942*u - 1938*u - 1, 5*u - 4*s + 18 = 0. Factor 8/15*i - 8/15 - 2/15*i**u.
-2*(i - 2)**2/15
Let t = 179 - 3579/20. Let g(m) be the second derivative of 0*m**2 + 1/12*m**4 + 0 - 1/30*m**6 + m + 0*m**3 - t*m**5 + 1/42*m**7. Factor g(f).
f**2*(f - 1)**2*(f + 1)
Factor -1/5*m**3 + 4/5*m**2 + 7/5*m - 2.
-(m - 5)*(m - 1)*(m + 2)/5
Factor -36*d**2 - 3*d**3 - 67 - 83 - 158*d + 23*d.
-3*(d + 2)*(d + 5)**2
Suppose -14*x = -37*x - 5*x + 112. Suppose 0*o**2 + 0*o + 3/5*o**x - 3/5*o**3 + 0 = 0. What is o?
0, 1
Suppose -2/3*b**2 - 92*b - 3174 = 0. What is b?
-69
Suppose 5*t + 7 = -k, -6*k + 7*k + 3*t + 3 = 0. Let b(d) be the third derivative of 0 - 8*d**2 + 0*d**k - 1/240*d**5 + 0*d + 1/96*d**4. Factor b(r).
-r*(r - 1)/4
Factor -1198*w + 58993 + 98*w - 90*w**2 + 1507 + 95*w**2.
5*(w - 110)**2
Suppose -75 = -17*s - 24. Let g(k) be the second derivative of 0 + s*k - 3/2*k**2 - k**3 - 1/4*k**4. Suppose g(a) = 0. Calculate a.
-1
Let p be 10/25 - (-8)/5. Suppose 0*x**2 + p*x**2 - 4*x**3 - 35*x**4 + 37*x**4 = 0. What is x?
0, 1
Suppose 3*y + 3 = 0, 9*y - 13*y = 2*n. Let r(s) be the second derivative of -1/8*s**n - 1/80*s**5 + 1/24*s**3 + s + 0 + 1/48*s**4. Factor r(v).
-(v - 1)**2*(v + 1)/4
Factor -215*h - 2883 + 29*h + 34*h**2 - 37*h**2.
-3*(h + 31)**2
Factor 35 + 0*l**2 - 2*l**2 - 96 - 12*l + 45.
-2*(l + 2)*(l + 4)
Let d be (30/24)/(4/16). Let 10*p**2 + 8*p**4 - 6*p**2 - 3*p**3 - 4*p**4 - d*p**3 = 0. Calculate p.
0, 1
Let z(n) = 6*n**3 + 87*n**2 - 11. Let r(d) = -d**3 - 17*d**2 + 2. Let x(t) = -11*r(t) - 2*z(t). Let x(v) = 0. What is v?
0, 13
Let b(m) be the first derivative of -7*m**6/12 - m**5/5 - 256. Factor b(y).
-y**4*(7*y + 2)/2
Let q = -76 - -75. Let k be 1*(0 + q/(-7)). Determine m so that -k*m**2 - 3/7*m - 2/7 = 0.
-2, -1
Let u be (6 + (-15)/10)*2. Let m = -4 + 10. What is n in u + 0*n**2 - 3*n**2 + 0*n**2 + m*n = 0?
-1, 3
Let r(s) = -7*s - 5. Let j be r(-5). Let m be (-172)/(-60) + 34/j + -1. Solve 2/3*v**m + 0*v**2 + 0*v - 2/3*v**4 + 0 = 0 for v.
0, 1
Suppose 0 = k + 5*k - 12. Factor -2*j**2 + 5*j - 5*j**2 + k*j**2.
-5*j*(j - 1)
Suppose -8*v - 211 + 83 = 0. Let f be (v/8)/(5/(-4) - 0). Factor 8/5*k + f + 2/5*k**2.
2*(k + 2)**2/5
Suppose k + 3*k - 36 = 2*d, -2*k + 4*d = -30. Let j(p) be the first derivative of k - 10/9*p**3 + 2/15*p**5 + p**2 + 1/6*p**4 + 0*p. Factor j(y).
2*y*(y - 1)**2*(y + 3)/3
Let b(x) be the first derivative of -1/600*x**5 + 0*x - 1/1800*x**6 - 4/3*x**3 - 6 + 0*x**4 + 0*x**2. Let c(y) be the third derivative of b(y). Factor c(n).
-n*(n + 1)/5
Let j(n) be the first derivative of -n**3/2 + 15*n**2/2 - 36*n - 43. Suppose j(l) = 0. What is l?
4, 6
Let w = 13372 - 120332/9. Determine g so that 4/9*g**3 + 0*g + 4/3*g**2 - w = 0.
-2, 1
Let y = -48 + 55. Factor -q**2 - 5*q**2 + 3*q + 2*q**2 + y*q**2 - 6.
3*(q - 1)*(q + 2)
Determine n, given that -46/3*n - 529/3 - 1/3*n**2 = 0.
-23
Let x(d) = -3*d**2 + 6*d + 9. Let b(f) = 6*f**2 - 13*f - 19. Let l be (-3 - (-56)/12)/((-3)/(-9)). Let j(m) = l*x(m) + 3*b(m). Find n, given that j(n) = 0.
-1, 4
Factor 51/2*x**2 - 3*x**3 - 12 - 21/2*x.
-3*(x - 8)*(x - 1)*(2*x + 1)/2
Let f = -24507 - -171565/7. Determine o so that 0 - 16/7*o**2 + f*o + 4/7*o**3 = 0.
0, 2
Let x be 1*6 + 690/(-60) - -6. Determine a, given that -1/2*a**4 + a + x*a**2 - a**3 + 0 = 0.
-2, -1, 0, 1
Suppose 0 = -s + 5, a + 4*s = 9 + 13. Suppose 18 - 10*c + 6 - 16*c**a - 4*c**3 - c + 7*c = 0. Calculate c.
-3, -2, 1
What is m in 3698/7*m + 2/7*m**3 - 172/7*m**2 + 0 = 0?
0, 43
Let f(j) be the first derivative of 0*j**3 + 1 + 8*j + 1/7*j**2 - 1/42*j**4. Let m(v) be the first derivative of f(v). Let m(c) = 0. What is c?
-1, 1
Solve 15*z**3 + 185*z**2 + 329*z + 1 + 179 + 271*z = 0 for z.
-6, -1/3
Suppose 0 = k + 4*k. Suppose -2*g + 3*g = k. Factor -7*r + 3*r - 3*r**2 - 2*r + g*r**2.
-3*r*(r + 2)
Suppose -27*l + 1 + 23 = -15*l. Factor 6/5*s**l + 9/5*s + 4/5 + 1/5*s**3.
(s + 1)**2*(s + 4)/5
Let h = 1915/2 - 955. Let x(l) be the first derivative of -16/5*l - 16/25*l**5 + 28/5*l**2 + h*l**4 - 76/15*l**3 - 7 + 1/15*l**6. Factor x(f).
2*(f - 2)**3*(f - 1)**2/5
Let s be ((-6)/64)/(((-16)/(-128))/(8/(-16))). Let 0 - 3/2*i - s*i**3 + 3/2*i**2 = 0. What is i?
0, 2
Let g(o) be the second derivative of 7*o**5/30 - 3*o**4/4 + 2*o**3/3 - 3*o**2 + 4*o. Let z(q) be the first derivative of g(q). Find n, given that z(n) = 0.
2/7, 1
Let b(o) be the third derivative of -o**6/1980 + 3*o**4/44 + 8*o**3/3 - 30*o**2. Let j(i) be the first derivative of b(i). Factor j(t).
-2*(t - 3)*(t + 3)/11
Let i(y) be the second derivative of -y**6/95 - 23*y**5/95 - 26*y**4/19 - 146*y**3/57 - 33*y**2/19 - 2*y + 156. What is g in i(g) = 0?
-11, -3, -1, -1/3
Suppose -g - 3*k - 5 = -24, -k = -4. Determine s so that 9*s + 12*s - g*s**2 - 9*s**3 + 9*s - 10*s - 4 = 0.
-2, 2/9, 1
Let b(u) = u**2 - 54*u - 171. Let q be b(57). Let c(f) be the second derivative of 0*f**3 - f + q - 1/8*f**4 + 0*f**2. Factor c(d).
-3*d**2/2
Let w(y) be the first derivative of -10 - 8*y**2 - 20*y + 4/3*y**3. Factor w(q).
4*(q - 5)*(q + 1)
Let g = -3543/13 + 2667/52. Let y = g + 223. Find j, given that 3/2 + y*j**4 - 35/4*j + 59/4*j**2 - 37/4*j**3 = 0.
2/7, 1, 3
Suppose 30 - 80 = -25*u. Let 0 + 1/4*v**3 - v**u + v = 0. Calculate v.
0, 2
Factor -38*a**3 + 32*a**2 - 16*a - 3*a**4 + 2 - 5*a**5 + 3*a - 3*a**4 + 11*a**4 + 17*a**4.
-(a - 1)**4*(5*a - 2)
Let w(y) be the second derivative of y**6/300 + 7*y**5/75 + y**4 + 24*y**3/5 + 5*y**2 - 33*y. Let b(m) be the first derivative of w(m). Factor b(l).
2*(l + 2)*(l + 6)**2/5
Let b(d) be the third derivative of d**5/20 - 19*d**4/8 - 93*d**2. Factor b(c).
3*c*(c - 19)
Let s(q) be the first derivative of q**4/10 - 16*q**3/15 + 12*q**2/5 + 142. Determine n, given that s(n) = 0.
0, 2, 6
Let z(i) = i**3 - 5*i**2 - 9*i + 3. Let j be z(4). Let s = j - -737/15. Factor 0 - 4/15*v**3 + 0*v**2 + 2/15*v**5 + s*v**4 + 0*v.
2*v**3*(v - 1)*(v + 2)/15
Let y(z) be the second derivative of -32*z**2 + 0 + 8/3*z**3 - 1/12*z**4 - 5*z. Solve y(c) = 0.
8
Let i(f) be the first derivative of 0*f**2 + 0*f**4 + 5*f - 6 - 1/90*f**5 + 1/27*f**3. Let t(k) be the first derivative of i(k). Find m, given that t(m) = 0.
-1, 0, 1
Let b = 43/5 - 124/15. Let l = -10332 + 31000/3. Factor -l + b*u**2 + u.
(u - 1)*(u + 4)/3
Let j(x) be the second derivative of 5*x**3 + x + 45/2*x**2 + 0 + 5/12*x**4. Factor j(a).
5*(a + 3)**2
Let c(k) be the first derivative of k**6/10 - 6*k**5/25 + 3*k**4/20 - 33. Factor c(u).
3*u**3*(u - 1)**2/5
Let n be (-588)/(-7560) - 2/(-9). Let o(m) be the first derivative of -3/5*m**2 - 4/15*m**3 + n*m**4 + 4/5*m - 1. Factor o(l).
2*(l - 1)*(l + 1)*(3*l - 2)/5
Let t(a) be the third derivative of 1/210*a**5 + 0 + 0*a + 5/42*a**4 + 25/21*a**3 - 13*a**2. Factor t(i).
2*(i + 5)**2/7
Let k(o) be the third derivative of 5*o**8/28 - 52*o**7/105 - 19*o**6/10 - 4*o**5/15 + 2*o**4 - 101*o**2. Determine g so that k(g) = 0.
-1, -2/3, 0, 2/5, 3
Let z(b) = 10*b**2 - 371*b - 7. Let w(d) = 5*d**2 - 184*d - 3. Let a(u) = -7*w(u) + 3*z(u). Factor a(c).
-5*c*(c - 35)
Let v be (-8 + 12)/(0 + 1). Let k be 8/(-36)*(-24)/v. Factor -2/3*t**5 + 0 + 0*t - k*t**4 - 2/3*t**3 + 0*t**2.
-2*t**3*(t + 1)**2/3
Let r(b) be the third derivative of -b**7/630 