 22*s - 152. Let g be l(7). Let w(h) be the third derivative of -1/12*h**4 + 3*h**g + 0*h**3 + 1/60*h**5 + 0*h + 0. What is q in w(q) = 0?
0, 2
Factor -84*a**2 - 143 - 331 + 521*a + 19*a - 17 + 4*a**3 - 609.
4*(a - 11)*(a - 5)**2
Factor 10/3*g**4 + 14/3*g**2 - 22/3*g**3 - 2/3*g + 0.
2*g*(g - 1)**2*(5*g - 1)/3
Let o(c) be the first derivative of -3*c**6/10 + 33*c**5/25 - 19*c**4/20 - 11*c**3/5 + 12*c**2/5 - 4*c/5 + 243. Find j, given that o(j) = 0.
-1, 1/3, 2
Factor 66/7*s**2 - 39/7*s + 9/7 + 3*s**4 - 3/7*s**5 - 54/7*s**3.
-3*(s - 3)*(s - 1)**4/7
Suppose 3*b = 4*t + 27, 2*t = 5*b - 19 - 12. Let m be -6*5/10 + b. Let -3/2*k**m - 9/2*k - 3 = 0. What is k?
-2, -1
Let q be (-2)/(-12) - 46046/84. Let x = 7136/13 + q. Solve 8/13 - 2/13*o**3 + x*o**2 - 18/13*o = 0 for o.
1, 4
Let a(w) = -w**3 - w + 4. Let t(l) = 5*l**3 - l**2 + 6*l - 21. Let i(q) = 33*a(q) + 6*t(q). Factor i(z).
-3*(z - 1)*(z + 1)*(z + 2)
Let k(q) be the third derivative of -q**6/660 + 7*q**5/165 - 13*q**4/132 - 73*q**2. Factor k(w).
-2*w*(w - 13)*(w - 1)/11
Let g(n) be the first derivative of 1/10*n**5 + 2/3*n**3 - 1/2*n**4 - 20 + 0*n + 0*n**2. Factor g(a).
a**2*(a - 2)**2/2
Let i be ((-2)/(-20))/(((-116)/261)/(10/(-3))). Factor -9/4*m**2 - 1/2*m**3 - i - 5/2*m.
-(m + 1)*(m + 3)*(2*m + 1)/4
Let a be -8 + (11 - 7) - -11. Let x(t) be the third derivative of 1/36*t**4 + 1/90*t**6 + 0 - 1/36*t**5 + 0*t**3 - 1/630*t**a + 0*t - 6*t**2. Factor x(m).
-m*(m - 2)*(m - 1)**2/3
Determine o, given that 45*o**3 + 39 - 114 - 65 - 415*o**2 + 720*o = 0.
2/9, 2, 7
Let q(v) be the third derivative of -v**7/168 - v**6/32 + 7*v**5/48 + 25*v**4/32 - 15*v**3/4 + 77*v**2. Find y, given that q(y) = 0.
-3, 1, 2
Factor -5*j**3 + 190*j**2 + 0*j**3 + 820*j + 1209 - 369.
-5*(j - 42)*(j + 2)**2
Factor -324/7*c**2 + 0*c - 558/7*c**3 - 6/7*c**5 + 0 - 16*c**4.
-2*c**2*(c + 9)**2*(3*c + 2)/7
Let c(b) be the third derivative of -1/270*b**5 + 0*b - 16*b**2 + 1/540*b**6 + 0 + 0*b**3 + 0*b**4. Factor c(i).
2*i**2*(i - 1)/9
Let n(u) be the second derivative of -2*u**7/21 - 32*u**6/5 - 576*u**5/5 + 5*u + 16. Solve n(w) = 0.
-24, 0
Let h be 2/4 - 6/(-4). Determine u so that -4*u**2 - 4*u**2 + 2*u**2 + 8*u - 4*u**3 + h*u**2 = 0.
-2, 0, 1
Let p(m) be the first derivative of 3/8*m**4 - 1/2*m**2 - 29 + 0*m + 1/6*m**3. Find y, given that p(y) = 0.
-1, 0, 2/3
Let c(a) be the first derivative of 8 + 1/3*a**3 + 1/6*a**4 + 0*a**2 + 4*a. Let o(y) be the first derivative of c(y). Let o(x) = 0. What is x?
-1, 0
Let b be (-21 + 19)/(2/(-4)). Factor -23*n**2 + n**5 - 19*n**2 + 43*n**2 + 0*n**4 - n**3 - n**b.
n**2*(n - 1)**2*(n + 1)
Let v(s) be the second derivative of s**6/75 - 7*s**5/50 - s**4/30 + 7*s**3/15 + 733*s. Solve v(h) = 0.
-1, 0, 1, 7
Let i(s) be the third derivative of s**5/100 - 3*s**4/20 - 7*s**3/10 + 142*s**2. Factor i(q).
3*(q - 7)*(q + 1)/5
Factor 673*i**3 + i**5 + 58115*i**4 - 58063*i**4 - 2052 - 2132*i - 158*i**2 + 700.
(i - 2)*(i + 1)**2*(i + 26)**2
Let b(c) be the second derivative of 15*c + 1/4*c**4 + 0 - 3*c**3 + 27/2*c**2. Factor b(o).
3*(o - 3)**2
Let l(u) be the second derivative of -2/69*u**4 + 0 - 14*u - 4/345*u**6 + 3/115*u**5 + 1/483*u**7 + 0*u**2 + 1/69*u**3. Find q, given that l(q) = 0.
0, 1
Find a such that 12/7*a**2 - 15/7*a + 3/7 = 0.
1/4, 1
Let n(h) be the third derivative of -1/1680*h**7 + 0*h**3 + 18*h**2 + 0 + 1/160*h**6 + 0*h + 1/24*h**4 - 1/40*h**5. Factor n(z).
-z*(z - 2)**3/8
Let f(t) be the first derivative of t**3/3 - 12*t**2 - 22*t - 78. Let q be f(25). What is o in 1/6*o + 1/6 - 5/6*o**2 + 1/2*o**q = 0?
-1/3, 1
Let q(h) = 125*h + 12. Let c be q(2). Factor 161 - c + 40*a + 136 + 5*a**2.
5*(a + 1)*(a + 7)
Let r(b) be the first derivative of 0*b + 3*b**2 + 1 + 4/3*b**3 - 1/2*b**4. Find k, given that r(k) = 0.
-1, 0, 3
Let a(f) be the first derivative of -f**5/60 + 5*f**4/24 - 2*f**3/3 + f**2 + 22. Let d(v) be the second derivative of a(v). Factor d(c).
-(c - 4)*(c - 1)
Let o(z) be the second derivative of 0 - 1/40*z**5 - 1/2*z**2 - 11*z + 1/12*z**3 + 1/12*z**4. Suppose o(g) = 0. Calculate g.
-1, 1, 2
Let p(b) = -b + 2. Let h be p(1). Let g(u) = 6*u**3 + 20*u**2 - 22*u + 26. Let q(f) = f**3 + f + 1. Let i(o) = h*g(o) - 10*q(o). Suppose i(k) = 0. Calculate k.
1, 2
Suppose -3*c = 2*v + 2*v - 25, -3*v = -12. Let i(g) be the first derivative of 2*g**2 - 2/3*g**c + 0*g - 6. Factor i(a).
-2*a*(a - 2)
Let g = -3446 - -3446. Factor g*p**2 - 2/3*p**3 + 0 + 0*p.
-2*p**3/3
Let i(b) be the first derivative of -2*b**6/3 - 56*b**5/5 - 61*b**4 - 112*b**3 - 72*b**2 + 161. What is j in i(j) = 0?
-6, -1, 0
Let f(l) be the first derivative of l**4/44 - l**3/33 - 2*l**2/11 + 4*l/11 + 71. Factor f(z).
(z - 2)*(z - 1)*(z + 2)/11
Let n(i) be the first derivative of i**4/66 + 2*i**3/11 + 45*i - 22. Let r(a) be the first derivative of n(a). Factor r(f).
2*f*(f + 6)/11
Let p(c) be the first derivative of -c**4/2 + 7*c**3/2 + 19*c**2/4 - 3*c - 75. Factor p(u).
-(u - 6)*(u + 1)*(4*u - 1)/2
Let d(k) = 4*k**2 + 150*k. Let v(h) = -h**2 - 37*h. Let n(f) = 2*d(f) + 9*v(f). Factor n(r).
-r*(r + 33)
Suppose 9*m - 111 = -66. Let u(z) be the second derivative of 0 - 1/5*z**2 - 2/15*z**3 - 1/30*z**4 - m*z. Suppose u(t) = 0. Calculate t.
-1
Let r(n) = -3*n**3 + n**2 - 4*n - 3. Let z be r(-2). Let w = 37 - z. Factor 3*u**4 + 2*u**3 + w*u - u**3 - u**4 - 5*u**4 + 8*u**2.
-u*(u - 2)*(u + 1)*(3*u + 2)
Let o be 2/6 - 10/(-200)*-5. Let b(u) be the second derivative of -1/8*u**2 + 1/6*u**3 + 0 - o*u**4 + u. Factor b(z).
-(2*z - 1)**2/4
Let t(f) be the first derivative of f**8/3920 + f**7/980 - f**6/840 - f**5/140 - 22*f**3/3 - 22. Let o(a) be the third derivative of t(a). Factor o(i).
3*i*(i - 1)*(i + 1)*(i + 2)/7
Let c be ((-66)/(-36))/(-11) - 317/6. Let x = c + 53. Suppose 1/3*s + x*s**2 + 0 - 1/3*s**3 = 0. Calculate s.
-1, 0, 1
Suppose 2*t - 6 = 0, z - 2*t - 5 = -3*t. Suppose -5*w + 6 - 13 = 2*o, 0 = -2*o - 4*w - 4. Factor 4*n**2 + o*n - n - n**z.
3*n*(n + 1)
Let d = 11 + -7. Suppose 12 = -4*h + 3*t, -5*h + 0*t - 3*t + 12 = 0. Find r, given that -6*r + 3*r**2 + h - r**2 + d = 0.
1, 2
Factor -316 - 2*b**2 + 2*b**2 + 316 + 3*b**2 + 3*b**3 - 6*b.
3*b*(b - 1)*(b + 2)
Suppose -10*r = -6*r + 4. Let f be (-2 + r)/((-16)/16) + -3. Find i such that f - 1/4*i - i**2 - 3/2*i**3 - 1/4*i**5 - i**4 = 0.
-1, 0
Factor 0*y + 0 + 3*y**2 - 9/2*y**3 + 3/2*y**4.
3*y**2*(y - 2)*(y - 1)/2
Let o(j) be the second derivative of 5*j + 1/18*j**4 + 0 + 0*j**3 + 1/45*j**6 - 1/15*j**5 + 0*j**2. Factor o(r).
2*r**2*(r - 1)**2/3
Suppose k - q - 3 = 0, 0 = -k + 2*q - 3 + 6. Solve 4*t**3 + 3*t**4 - t**4 - t**5 - 2*t**2 - 3*t**k = 0.
-1, 0, 1, 2
Factor 5488/3*t + 2352*t**2 - t**5 + 0 - 560*t**3 + 124/3*t**4.
-t*(t - 14)**3*(3*t + 2)/3
Let h(w) be the first derivative of -4/15*w**3 + 1/10*w**4 + 1/4*w**2 + 4 - 1/10*w. Factor h(v).
(v - 1)*(2*v - 1)**2/10
Let z be (-1)/4 - 5/(200/(-14555)). Let a = -363 + z. Factor 1/4 - 7/8*d**2 + a*d.
-(d - 1)*(7*d + 2)/8
Let w be (-2)/(-11) + (-259622)/(-357313). Let a = w - -2/2953. Determine d, given that 4/11*d**2 - 4/11 + a*d**3 - 10/11*d = 0.
-1, -2/5, 1
Let q(d) be the first derivative of -2*d**5/15 + 19*d**4/6 - 224*d**3/9 + 64*d**2 + 5. Factor q(a).
-2*a*(a - 8)**2*(a - 3)/3
Factor 0 - 1/4*m**3 - 7/4*m**4 + 5/4*m**5 + 0*m + 3/4*m**2.
m**2*(m - 1)**2*(5*m + 3)/4
Determine t so that 37*t**2 - 20*t**3 - 5*t - 14*t - 4*t + 5*t + t**4 = 0.
0, 1, 18
Let g(h) be the third derivative of h**8/420 + 23*h**7/1050 + h**6/60 - 7*h**5/75 - 7*h**4/60 + h**3/6 - 169*h**2. Let g(l) = 0. Calculate l.
-5, -1, 1/4, 1
Let x(i) be the third derivative of i**6/420 + i**5/105 + i**4/84 - 3*i**3/2 - 19*i**2. Let d(g) be the first derivative of x(g). Solve d(y) = 0 for y.
-1, -1/3
Let p be (-3)/(-4) + ((-39)/(-4))/3. Let r(q) be the first derivative of 0*q**2 + 1/25*q**5 + 0*q + 0*q**3 + 3 - 1/20*q**p. Suppose r(l) = 0. Calculate l.
0, 1
Suppose -1 + 71 = 14*d. Let v(p) be the second derivative of 0*p**2 - 1/20*p**4 + 0 - d*p - 3/10*p**3. Determine c so that v(c) = 0.
-3, 0
Let x(c) = 6*c**3 - 5*c**2 + c + 3. Let v be x(1). Let p(k) be the first derivative of k**2 - 2/3*k**3 - v + 0*k. Let p(u) = 0. Calculate u.
0, 1
Let c(w) = -w - 2. Let t be c(-2). Suppose t*g - 4*g + 28 = 0. Solve -g*u - 5*u**2 - 2*u + 2*u**2 = 0.
-3, 0
Let s(c) be the third deriva