j**4/96 - j**3/12 + 3*j**2. Determine i so that h(i) = 0.
-2, 1
Let w(u) be the third derivative of u**7/630 - u**6/60 + 13*u**5/180 - u**4/6 + 2*u**3/9 + 7*u**2. Let w(v) = 0. What is v?
1, 2
Determine q so that -2/11*q**2 + 2/11*q**3 + 0*q + 0 = 0.
0, 1
Let o be (-46)/(-10) + 2/5. Suppose 0 = 4*s - b - 12, -o*s = -2*s + b - 2. Factor 7*z**s + 1 - 2*z - 1 - 5*z**3.
-z*(z - 1)*(5*z - 2)
Let t(n) be the first derivative of -3*n**4/28 - 4*n**3/7 - 6*n**2/7 - 13. Factor t(w).
-3*w*(w + 2)**2/7
Let y(p) be the second derivative of -p**5/70 + p**4/21 - p**3/21 - 10*p. Determine n so that y(n) = 0.
0, 1
Let t(w) be the third derivative of w**5/90 + w**4/2 + 9*w**3 - 26*w**2. Factor t(i).
2*(i + 9)**2/3
Suppose 2*v = 2 - 24. Let m = 15 + v. Factor 5*j**m - 4*j**4 - j**2 + 0*j**5 - j**3 + j**5.
j**2*(j - 1)*(j + 1)**2
Let -20*i + 4*i**3 - 24*i**2 - 2 - 18 - 22*i - 6*i**3 = 0. What is i?
-10, -1
Let p(f) be the first derivative of -3*f**4/4 + 13. Let w(t) = 10*t**3 - 2*t**3 - t**3. Let m(u) = 5*p(u) + 2*w(u). What is g in m(g) = 0?
0
Suppose c + 0*c + 2 = 0. Let h be 21/c*(-1)/7. Suppose 3/2 - 3/4*q + 3/4*q**3 - h*q**2 = 0. Calculate q.
-1, 1, 2
Let g(o) = -3*o**2 + 4 - 102*o - 4 + 42*o. Let j(r) = -r**2 - 17*r. Let b(h) = -5*g(h) + 18*j(h). Factor b(q).
-3*q*(q + 2)
Let d(v) be the first derivative of v**4/4 - 2*v**3 + 7*v**2/2 - 6*v - 1. Let i be d(5). Factor i*g + 2*g**5 - 2*g + 0*g**5 - 4*g**3.
2*g*(g - 1)**2*(g + 1)**2
Let z(x) be the second derivative of x**6/24 - 7*x**5/16 + 25*x**4/16 - 65*x**3/24 + 5*x**2/2 - 2*x. Suppose z(r) = 0. What is r?
1, 4
Suppose -4*h = 3*h - 14. Let 2/7*n - 2/7*n**h + 0 = 0. Calculate n.
0, 1
Let v(g) = -5*g**4 - g**3 + 4. Let o(r) be the third derivative of -r**7/35 - r**6/120 + 5*r**3/6 - r**2. Let s(u) = 4*o(u) - 5*v(u). Factor s(c).
c**3*(c + 1)
Let n(y) = 10*y**2 - 25*y. Let s(v) = -5*v**2 + 13*v. Let z(f) = 2*n(f) + 5*s(f). Determine b, given that z(b) = 0.
0, 3
Let j(h) be the first derivative of 3*h**4/2 - 10*h**3/3 - 2*h**2 - 4. Factor j(d).
2*d*(d - 2)*(3*d + 1)
Determine g so that -12*g**4 + 4*g**3 - 3*g + 6*g - 3*g = 0.
0, 1/3
Solve -4/9 + 2/3*m - 2/9*m**2 = 0 for m.
1, 2
Factor -3*w**2 - 7*w**4 - 27*w**5 + 0*w**4 - 21*w**3 - 38*w**4.
-3*w**2*(w + 1)*(3*w + 1)**2
Let p = 23 + -20. Let l(d) be the second derivative of -2*d - 1/54*d**4 + 0*d**2 + 2/27*d**p - 14/45*d**5 + 0. Factor l(g).
-2*g*(4*g - 1)*(7*g + 2)/9
Let m(i) be the second derivative of -i**4/3 - 8*i**3/3 - 8*i**2 - i. Factor m(w).
-4*(w + 2)**2
Let h(o) be the third derivative of o**5/140 - o**4/28 + 2*o**2. Factor h(m).
3*m*(m - 2)/7
Let w(m) = -m**3 + 5*m**2 + m - 1. Let x be w(4). Determine l, given that x*l**2 + 2 + 2*l**5 + 10*l + 20*l**3 + 0 - 2*l**4 + 12*l**4 + l**2 = 0.
-1
What is m in 2/11*m**2 + 72/11 + 24/11*m = 0?
-6
Let m(j) = j + 4. Let w be m(-3). Let s be (-3 + 4)/(0 - -1). Factor 6*z**2 - s + 2*z**3 - 6 - w.
2*(z - 1)*(z + 2)**2
Suppose -39/4*j - 33/4*j**3 - 3/2 + 15/4*j**4 - 69/4*j**2 + 3*j**5 = 0. What is j?
-1, -1/4, 2
Let a be 2/36*3*4. Factor -2/3*p - a*p**2 + 0.
-2*p*(p + 1)/3
Let n(j) = j**2 + 7*j + 14. Let q be n(-3). Factor -4/3*h**4 + 10/3*h**3 + 2/3 - q*h**2 - 2/3*h.
-2*(h - 1)**3*(2*h + 1)/3
Let r(w) be the second derivative of -3*w**5/20 + w**4 - 5*w**3/2 + 3*w**2 + 5*w. Factor r(f).
-3*(f - 2)*(f - 1)**2
Let p = 6 + -4. Suppose g - p = 2. Suppose 2*n**4 - g - 6*n**2 - n - 4*n**3 + 11*n + 2*n**3 = 0. Calculate n.
-2, 1
Let n(z) = z**3 - 2*z + 5*z**2 + 0*z**5 - 2*z**4 + 3*z**5 + 3*z**5 + 3 - 2*z**3. Let j(q) = q**5 + q**4 + 1. Let i(l) = 3*j(l) - n(l). Solve i(k) = 0.
-1, 0, 2/3, 1
Let p = -2/5 - -169/420. Let s(g) be the third derivative of 1/120*g**5 + 0*g**3 - p*g**7 + 1/48*g**4 + 0*g + 0 - 1/240*g**6 - 5*g**2. What is v in s(v) = 0?
-1, 0, 1
Suppose 3/4*d**2 + 1/4*d + 3/4*d**3 + 0 + 1/4*d**4 = 0. Calculate d.
-1, 0
Let w = -18 + 18. Let s(i) be the first derivative of w*i**3 + 1 - 1/4*i**4 + 0*i + 0*i**2. What is f in s(f) = 0?
0
Let z(p) be the second derivative of 0*p**3 + 1/18*p**4 + 0 + 0*p**2 - 1/30*p**5 + p. Let z(n) = 0. Calculate n.
0, 1
Let r be 1 + 16/(-10) + 2*1. Find i such that 2/5*i**5 - 2/5*i + 8/5*i**3 + r*i**4 + 2/5*i**2 - 1/5 = 0.
-1, 1/2
Let n(l) be the first derivative of -l**6/2 + l**5/5 + 5*l**4/4 - l**3/3 - 4*l**2 - 6*l + 1. Let m(a) = -a**5 - 1. Let t(c) = -2*m(c) + n(c). Factor t(v).
-(v - 2)**2*(v + 1)**3
Let r(c) be the second derivative of -3*c**5/100 + c**4/4 - 4*c**3/5 + 6*c**2/5 + 12*c. Find u, given that r(u) = 0.
1, 2
Factor 1/4*q**3 + 0 - 3/4*q**2 + 1/4*q**5 - 1/2*q + 3/4*q**4.
q*(q - 1)*(q + 1)**2*(q + 2)/4
Let z(l) be the first derivative of -1/2*l**2 - 2/3*l - 1/9*l**3 - 3. Factor z(p).
-(p + 1)*(p + 2)/3
Let a(s) be the first derivative of 5*s**4/4 + 10*s**3 - 35*s**2/2 + 40. Suppose a(k) = 0. What is k?
-7, 0, 1
Suppose -3*j + 4*j - 3*j**3 + j**3 + j**3 = 0. What is j?
-1, 0, 1
Determine x so that -26/7*x**3 - 8/7*x + 24/7*x**2 - 2/7*x**5 + 12/7*x**4 + 0 = 0.
0, 1, 2
Let r(t) be the first derivative of t**3 + 6*t**2 + 12*t - 3. Determine g, given that r(g) = 0.
-2
Let u(p) be the first derivative of -2*p**6/5 - 2*p**5/5 - p**4/8 + 4*p**2 + 6. Let r(k) be the second derivative of u(k). Factor r(t).
-3*t*(4*t + 1)**2
Let j(f) = f**3 + 6*f**2 + 4*f + 2. Let g be j(-5). Let x = 11 - g. Factor 2*b + b**2 + 0*b - x*b.
b*(b - 2)
Let b(j) be the first derivative of 0*j + 0*j**2 + 1 - 1/1440*j**6 + 1/48*j**4 - 1/480*j**5 + 2/3*j**3. Let q(k) be the third derivative of b(k). Factor q(o).
-(o - 1)*(o + 2)/4
Let b = 7 - 0. Let n = -5 + b. Factor n*l**4 + 2*l**2 - 4*l**4 + 10*l**3 - 2*l**5 - 8*l**3.
-2*l**2*(l - 1)*(l + 1)**2
Let l = -113 - -115. Solve -2/7 + 2/7*g + 2/7*g**l - 2/7*g**3 = 0 for g.
-1, 1
Solve 0 - 5/6*q - 5/2*q**2 = 0.
-1/3, 0
Suppose 9*d = -4 + 4. Let n(i) be the third derivative of d*i - 1/36*i**4 + 1/180*i**5 + 0*i**3 + 5*i**2 + 0 + 1/360*i**6. Factor n(c).
c*(c - 1)*(c + 2)/3
Let o(x) = -8*x - 30. Let n be o(-4). Factor 3/2*w**n - w + 0 - 1/2*w**3.
-w*(w - 2)*(w - 1)/2
Let a be (9 - (1 + -1)) + 1. Factor -5*y - 2 + 3*y**5 + 10*y**2 - a*y**3 + 3 - 4*y**5 + 5*y**4.
-(y - 1)**5
Suppose 5*s - 2*w = 57, -5*s + 3*w + 53 = -0*s. Suppose -5*p + s = 3. Suppose -2/3*k**p + 0*k + 0 - 2/3*k**5 + 2/3*k**3 + 2/3*k**4 = 0. What is k?
-1, 0, 1
Suppose m = -4*k + 12, -m - 4*k = -6*m + 12. Let w(z) be the third derivative of 0*z - 1/96*z**m + z**2 + 1/240*z**5 + 0 + 0*z**3. Factor w(l).
l*(l - 1)/4
Suppose -5*l = -0*l - 3*m - 16, m = 3*l - 8. Let g(t) be the first derivative of 0*t + 1/3*t**3 - 3/2*t**4 + 0*t**l - 3 + t**5. Factor g(u).
u**2*(u - 1)*(5*u - 1)
Let m = -2523/4 + 669. Let q = -38 + m. Factor -1/4*f**4 + 0*f**2 + 0 - q*f**3 + 0*f.
-f**3*(f + 1)/4
Suppose -1/3*l**4 + 0*l + 2/3*l**2 - 1/3 + 0*l**3 = 0. What is l?
-1, 1
Let p(u) be the first derivative of 2*u**3/15 - u**2/5 + 7. Factor p(v).
2*v*(v - 1)/5
Let i(w) be the second derivative of -w**4/48 + w**3/12 - w**2/8 - w. Suppose i(z) = 0. What is z?
1
Determine l so that 0 + 3*l + 1/2*l**2 = 0.
-6, 0
Let d = 480 - 223. Suppose -a = -d + 57. Suppose -58*j**4 + a*j**5 - 30*j**4 - 8*j**2 + 72*j**3 - 122*j**4 = 0. Calculate j.
0, 1/4, 2/5
Let a**2 - 18 + 3*a**3 + 8*a**2 - 15*a**2 + 39*a - 18*a**2 = 0. Calculate a.
1, 6
Let b be 2/(-7) - 23/(-7). Let r be 15/b*2/2. Factor z**3 + z + z**2 - z**4 - z - z**r.
-z**2*(z - 1)*(z + 1)**2
Let l(v) = -v**3 - 6*v**2 - 5*v + 2. Let h = 5 - 10. Let z be l(h). Find g, given that 1/3*g - 1/3*g**3 - 2/3*g**z + 2/3*g**4 + 0 = 0.
-1, 0, 1/2, 1
Let x be 3 + -1 + 1 + -1. Factor -5*w**2 + 4*w**2 - x*w - w**2 - 3 + 3*w**2.
(w - 3)*(w + 1)
Let j(a) = 2*a**2 + 6. Let d(r) = 2*r**2 + 5. Let m(k) = -6*d(k) + 5*j(k). Solve m(g) = 0 for g.
0
Factor -8/3 - 11/3*u**3 + 2*u**4 + 2/3*u**2 + 4*u - 1/3*u**5.
-(u - 2)**3*(u - 1)*(u + 1)/3
Let k(y) = -2*y + 19. Suppose 3*o = g - 2*g + 5, -5*g + 45 = -5*o. Let b be k(g). Factor 0 + 0*q + 6*q**2 - 6*q**b + 3/2*q**4.
3*q**2*(q - 2)**2/2
Let c(f) be the first derivative of -2*f**5/5 + f**4/2 + 6. Let c(w) = 0. What is w?
0, 1
Let c(s) be the first derivative of s**8/6720 - s**7/3360 - 8*s**3/3 - 1. Let v(o) be the third derivative of c(o). Let v(l) = 0. Calculate l.
0, 1
Let q(l) be the third derivative of l**6/540 + l**5/54 + l**4/36 - l**3/3 + 7*l**2. Suppo