erivative of 0*s + 0 + 0*s**3 - 1/180*s**r - 1/72*s**4 - s**2. Factor w(u).
-u*(u + 1)/3
Factor -8/11*q**2 + 8/11*q + 2/11*q**5 + 0 + 4/11*q**4 - 6/11*q**3.
2*q*(q - 1)**2*(q + 2)**2/11
Let r(z) be the first derivative of z**6/2 - 18*z**5/5 + 39*z**4/4 - 12*z**3 + 6*z**2 + 3. What is w in r(w) = 0?
0, 1, 2
Let t be (-12)/18 - 28/(-6). Let d(z) be the second derivative of 1/6*z**2 + 1/9*z**3 + 2*z + 0 + 1/36*z**t. Solve d(g) = 0 for g.
-1
Suppose 20 = 5*k + 8*b - 3*b, -b = -k - 4. Let i(s) be the third derivative of 0 + 1/90*s**5 + 0*s**3 + k*s**4 + 3*s**2 + 0*s. Factor i(m).
2*m**2/3
Let l(v) be the third derivative of -v**5/30 + 5*v**4/6 - 25*v**3/3 - 2*v**2. Factor l(q).
-2*(q - 5)**2
Suppose 0 = -4*z - 2*z - 12. Let t be 1*(2 - (z + 2)). Factor 1/2*c + 1/4*c**t + 1/4.
(c + 1)**2/4
Factor -1/6*b**3 - 1/2 + 1/6*b + 1/2*b**2.
-(b - 3)*(b - 1)*(b + 1)/6
Let r(y) = 6*y**4 - y**3 - y**2 + 6*y - 5. Let o(c) = -c**4 - c + 1. Let q(m) = 5*o(m) + r(m). Solve q(s) = 0.
-1, 0, 1
Determine i so that 18 - 13 + 15*i**2 + 5*i**3 - 11 - 14 = 0.
-2, 1
Factor 1/2*x**2 + 13*x + 169/2.
(x + 13)**2/2
Suppose 4*r = -9*r + r. Factor 6/5*h**3 - 9/5*h**2 - 1/5*h**4 + r*h + 0.
-h**2*(h - 3)**2/5
Let q(j) be the first derivative of j**7/840 - j**6/120 + j**5/40 - j**4/24 + j**3/3 + 4. Let z(x) be the third derivative of q(x). Factor z(k).
(k - 1)**3
Let z(m) = -230*m + 2. Let w be z(-2). Let r be 6/21 + 120/w. Let r*t**2 - 6/11*t - 2/11*t**3 + 2/11 = 0. Calculate t.
1
Let f(b) be the third derivative of -b**8/672 + b**7/420 + b**6/80 - b**5/120 - b**4/24 - 18*b**2. What is u in f(u) = 0?
-1, 0, 1, 2
Let q be (-58)/(-18) + (-2)/9. Factor h**3 - 9*h**q + 2 + 0*h**2 - h**2 - h**2 + 8*h.
-2*(h - 1)*(h + 1)*(4*h + 1)
Let q(m) = m**2 - m + 1. Let p(h) = -h**2 + 7*h - 1. Let v(o) = -o**2 + 9*o - 7. Let n be v(8). Let k(i) = n*p(i) + 3*q(i). Determine j, given that k(j) = 0.
-1
Let x be (-4)/(-40)*(6 - 1 - 3). Factor -1/5*f**4 - x*f - 3/5*f**3 + 0 - 3/5*f**2.
-f*(f + 1)**3/5
Let g be (4/(-12)*0)/1. Let q(o) be the third derivative of 0*o**4 + 0*o**5 + 0 - 1/240*o**6 - 2*o**2 - 1/672*o**8 - 1/210*o**7 + 0*o + g*o**3. Factor q(p).
-p**3*(p + 1)**2/2
Let c(a) = a**3 - 2*a**2 - 2*a. Let k(v) = -6*v**3 + 12*v**2 + 11*v. Let y(i) = 34*c(i) + 6*k(i). Factor y(o).
-2*o*(o - 1)**2
Let h(t) = -7*t**5 + 2*t**4 + t**3 + 4*t**2 + 6. Let o(u) = -u**5 + u**4 + u**3 + u**2 + 1. Let x(c) = -h(c) + 6*o(c). Factor x(i).
i**2*(i + 1)**2*(i + 2)
Let j(l) = l - 2. Let m be j(2). Let b be ((-2)/(-10))/(36/60). Factor 4/3*o**3 + m + b*o - 5/3*o**2.
o*(o - 1)*(4*o - 1)/3
Let m(q) be the first derivative of -5*q**4/4 + 10*q**3/3 - 5*q**2/2 + 10. What is u in m(u) = 0?
0, 1
Let t = -3 - -6. Suppose -t*c + 1 = -2*c. What is z in -4*z + 0*z**2 - c - z**4 - z**3 - 6*z**2 - 3*z**3 = 0?
-1
Let u(i) = i**3 + 10*i**2 + i + 10. Suppose 4*s + 37 = -w - 8, -s = 5*w + 35. Let g be u(s). Factor 1/3*o**2 + 0*o + 1/3*o**5 + o**3 + o**4 + g.
o**2*(o + 1)**3/3
Let p = 8 - 2. Suppose p*m = 10*m. Factor 4/3*i**4 - 2/3*i**3 + m + 0*i**2 + 0*i + 2*i**5.
2*i**3*(i + 1)*(3*i - 1)/3
Let p(g) be the first derivative of -12*g**5/25 - 33*g**4/20 - 9*g**3/5 - 3*g**2/10 + 3*g/5 + 1. Factor p(w).
-3*(w + 1)**3*(4*w - 1)/5
Let n(g) be the second derivative of -57/20*g**5 + 21/5*g**6 + g**3 - 5/4*g**4 + 0 + 0*g**2 - g. Let n(z) = 0. What is z?
-1/3, 0, 2/7, 1/2
Let y = -65 + 68. Let a(c) be the first derivative of -2*c**2 + 2/3*c + 16/9*c**y + 3. Let a(s) = 0. Calculate s.
1/4, 1/2
Suppose 5*l = -5*p + 35, 0*p - p = -l + 1. Let d(g) be the second derivative of 1/4*g**l + 3/2*g**2 - g**3 - 2*g + 0. Determine v so that d(v) = 0.
1
Let l = -15 + 14. Let y = -1 - l. Factor y - 2/5*q**2 - 1/5*q.
-q*(2*q + 1)/5
Let k be (9/(-243))/(1*3/(-18)). Find i, given that 0 - k*i**2 + 0*i + 2/3*i**3 + 8/9*i**4 = 0.
-1, 0, 1/4
Factor 22*v - 44*v + 4*v**3 + 18*v.
4*v*(v - 1)*(v + 1)
Let q(y) = -y**2 + 7*y - 2. Let u be q(6). Let s = 1 + u. Solve -3*d**4 + d**5 + 0*d**5 - d**2 - 2*d**3 + s*d**3 = 0 for d.
0, 1
Suppose 0 = 2*l + l - 21. Let f(w) be the third derivative of 1/672*w**8 + 0*w**3 + w**2 + 0*w**5 + 0*w**l + 0 + 1/48*w**4 - 1/120*w**6 + 0*w. Factor f(u).
u*(u - 1)**2*(u + 1)**2/2
Let c(j) be the third derivative of -j**8/1344 + j**7/280 - j**6/160 + j**5/240 + 8*j**2. Factor c(d).
-d**2*(d - 1)**3/4
Let q be (-3)/(-2)*3/6. Factor 3/4*z + 0 + q*z**3 - 3/2*z**2.
3*z*(z - 1)**2/4
Let c = -613/3 + 205. Factor c*l**2 - 2/3*l**5 + 0 - 2/3*l**4 + 2/3*l**3 + 0*l.
-2*l**2*(l - 1)*(l + 1)**2/3
Let d(y) be the third derivative of y**5/40 - y**4/8 + y**3/4 + 8*y**2. Solve d(l) = 0.
1
Suppose -7*h = -3*h + 48. Let c = h + 25/2. Determine p so that 0 + 1/2*p - c*p**2 = 0.
0, 1
Let q(f) be the second derivative of -f**5/120 + f**4/24 - f**3/12 - f**2/2 - 5*f. Let a(x) be the first derivative of q(x). Determine w so that a(w) = 0.
1
Factor 0 - 2/3*y - 1/3*y**4 + y**2 + 0*y**3.
-y*(y - 1)**2*(y + 2)/3
Let h = 53 + -53. Factor 2/3*d**4 - 2/3*d**2 - 2/3*d**3 + h + 2/3*d.
2*d*(d - 1)**2*(d + 1)/3
Suppose -141 = -6*c - 123. Factor 0*w**c - 4/9*w**2 - 2/9*w + 4/9*w**4 + 2/9*w**5 + 0.
2*w*(w - 1)*(w + 1)**3/9
Let p(i) = 2*i**2 + 50*i + 389. Let h(g) = -4*g**2 - 102*g - 779. Let t(o) = 3*h(o) + 5*p(o). Solve t(j) = 0.
-14
Let z(d) be the second derivative of -d**5/25 - 2*d**4/3 + 2*d**3/15 + 4*d**2 - 40*d. Solve z(h) = 0.
-10, -1, 1
Suppose p - 6*p = -3*d + 5, 3 = d - p. Factor 3/4*s**d - 1/4*s - 1/2*s**3 - 3/2*s**2 + 5/4*s**4 + 1/4.
(s - 1)*(s + 1)**3*(3*s - 1)/4
Suppose 12 = 8*a - 2*a. Suppose 132/5*o + 588/5*o**3 - 483/5*o**a - 12/5 = 0. What is o?
1/4, 2/7
Let o be 0/((-4)/(-7 + 3)). Let y(n) be the first derivative of o*n**2 + 1/3*n**3 - n - 1. Factor y(h).
(h - 1)*(h + 1)
Suppose 5*p - 2*p = 0. Let m(y) be the second derivative of -y**2 + 2*y + p*y**3 + 0 + 1/6*y**4. Factor m(r).
2*(r - 1)*(r + 1)
Let m(f) be the second derivative of 2*f**6/15 - 18*f**5/5 + 80*f**4/3 + 12*f**3 - 162*f**2 + 29*f. Find i, given that m(i) = 0.
-1, 1, 9
Let q(m) be the second derivative of -m**4/60 + 4*m**3/15 - 8*m**2/5 - 16*m. Find z, given that q(z) = 0.
4
Suppose -5*m + 14 = j - 0*j, 0 = m - 2. Let 4*z**4 + 2*z**2 - 3*z**j - 7*z**4 + 4*z**4 = 0. Calculate z.
-1, 0, 1
Let m(t) be the third derivative of t**5/45 - t**4/18 - 6*t**2. Factor m(v).
4*v*(v - 1)/3
Suppose 4*k - 2*d - 2 = -k, 0 = 2*d - 8. Factor -160/11*x**k + 80/11*x**3 + 2/11*x**5 + 160/11*x - 64/11 - 20/11*x**4.
2*(x - 2)**5/11
Let h be (2/(-6))/(1/(-15)). Let a be (-140)/(-60) - (-85)/(-39). Solve 0*v**4 + 8/13*v**3 + 4/13 - 6/13*v - a*v**h - 4/13*v**2 = 0.
-2, -1, 1
Let j(h) be the first derivative of -1 + 0*h**2 + 0*h + 4/25*h**5 + 1/4*h**4 + 1/15*h**3. Factor j(n).
n**2*(n + 1)*(4*n + 1)/5
Let i(k) = -k - 3. Let q be i(-6). Let a = -151/4 + 38. Find d such that -d**q + 1/2*d**2 + a + d - 3/4*d**4 = 0.
-1, -1/3, 1
Let c be (-112)/(-3)*7/(-315). Let k = 10/27 - c. What is o in 2/5*o**2 + 2/5*o**5 + 6/5*o**4 + 0*o + 0 + k*o**3 = 0?
-1, 0
Solve -1/4*p**2 + 1/2*p + 0 = 0.
0, 2
Let x(q) be the second derivative of -q**6/15 + 2*q**5/5 - 2*q**4/3 + q. What is l in x(l) = 0?
0, 2
Let p(c) be the first derivative of c**4/14 + 10*c**3/21 + c**2 + 6*c/7 + 16. Find g such that p(g) = 0.
-3, -1
Let -6*b - 16 + 2 + 14 + 39*b**2 + 21*b**3 = 0. What is b?
-2, 0, 1/7
Suppose -4*q + 7 = -j, 0*q - 3*q = j - 7. Solve -3*x**2 - 10 + 7 + 6*x**q = 0 for x.
-1, 1
Let a(l) be the first derivative of -1/3*l**6 + 0*l**2 - 3/2*l**4 - 2/3*l**3 + 0*l - 6/5*l**5 - 3. Factor a(h).
-2*h**2*(h + 1)**3
Let w = -83 + 85. Factor -2/5*c**w + 0*c - 2/5*c**3 + 0.
-2*c**2*(c + 1)/5
Suppose 4 = 24*b - 22*b. Let a(n) be the third derivative of 0*n + 3*n**b + 0*n**3 - 1/36*n**6 + 7/90*n**5 + 0 - 1/18*n**4. Factor a(r).
-2*r*(r - 1)*(5*r - 2)/3
Let z(d) be the second derivative of -25*d**4/18 - 70*d**3/9 - 49*d**2/3 + 29*d. Find g, given that z(g) = 0.
-7/5
Suppose 28 = 2*d + 5*f - 12, 5*d = 3*f + 162. Suppose 0*h - d = -3*h. Factor 17*p**3 - h*p**4 - 1 + 2*p**5 - 8*p**2 + 1 - p**3.
2*p**2*(p - 2)**2*(p - 1)
Suppose 2*v**3 - 22*v**3 - 5 + 12*v**2 + 4*v**5 + 16*v + 5 - 12*v**4 = 0. Calculate v.
-1, 0, 1, 4
Suppose 2*h - 7*i = -4*i - 8, -3*h = -4*i + 10. Factor 2/3*t**h - 1/6*t**3 + 1/3 - 5/6*t.
-(t - 2)*(t - 1)**2/6
Let k(r) be the first derivative of -