q) = -q**2 - 2*q + 3. Let g be d(-3). Let o(b) be the third derivative of -b**2 + 0*b**3 - 1/210*b**5 + 0*b + g + 1/84*b**4. Solve o(y) = 0.
0, 1
Let o(s) be the second derivative of s**4/72 + s**3/12 - 31*s. Factor o(w).
w*(w + 3)/6
Let g(m) be the third derivative of m**5/60 - m**4/12 + m**3/6 - 7*m**2. Find y such that g(y) = 0.
1
Suppose 2*n + 3 = n, -4*s - 5*n - 15 = 0. Determine a, given that -4/5*a**2 + 0 - 4/5*a**3 + s*a = 0.
-1, 0
Suppose 4*o - 10 - 2 = 0. Determine y so that 4*y**2 - 2*y**2 + 3*y**4 - 4*y**o - y**2 = 0.
0, 1/3, 1
Let 0*n**3 + 4/5*n + 6/5*n**2 - 2/5*n**4 + 0 = 0. What is n?
-1, 0, 2
Let q be -4 - (3 - 7) - -12. Let a be q/10*(-100)/(-30). Suppose -2/3*g - 1/3 + 1/3*g**a + 0*g**2 + 2/3*g**3 = 0. Calculate g.
-1, 1
Let m(q) = 0*q**5 - q**2 - 2*q**3 - q + q**3 - q**5. Let p(v) = -27*v**5 - 52*v**4 - 3*v**3 + 27*v**2 + 11*v. Let l(o) = -3*m(o) - p(o). Solve l(t) = 0 for t.
-1, -2/5, 0, 2/3
Let l(o) be the first derivative of 1/9*o**3 - 1/6*o**2 - 3 + 0*o. Suppose l(c) = 0. Calculate c.
0, 1
Let g be -2 - -4*(-3)/(-2). Find t, given that 0*t**2 - 4/3*t**3 + 0 - 2/3*t**g + 0*t = 0.
-2, 0
Let r(y) be the first derivative of -5*y**6/6 - 5*y**5 - 25*y**4/2 - 50*y**3/3 - 25*y**2/2 - 5*y - 8. Factor r(u).
-5*(u + 1)**5
Let g(j) = -2*j**3 - 5*j**2 - 3*j - 2. Let l be g(-2). Factor -1/3*v + 1/3*v**3 + l + 1/3*v**2 - 1/3*v**4.
-v*(v - 1)**2*(v + 1)/3
Let w(x) = -x**2 + 7 + 4*x + 2*x**2 - 2*x**2. Let q be w(5). Let q*u + 0*u**3 + 18*u**4 - 9*u**2 + 6*u**3 - u**2 = 0. What is u?
-1, 0, 1/3
Let b(m) be the third derivative of -m**8/20160 - m**7/2520 - m**6/720 + m**5/20 + m**2. Let l(p) be the third derivative of b(p). Factor l(s).
-(s + 1)**2
Let x(j) = -j**2 + 3*j + 1 - 10*j**3 - 3*j + 11*j**3. Let h(v) = -v**2 + 3*v - 1. Let i(r) = -h(r) + x(r). Factor i(z).
(z - 1)**2*(z + 2)
Let z(k) be the first derivative of -2*k**5/15 + 2*k**4/3 - 4*k**3/3 + 4*k**2/3 - 2*k/3 + 3. Determine h so that z(h) = 0.
1
Let a(y) be the second derivative of -y**9/15120 + y**4/12 - y. Let o(g) be the third derivative of a(g). Find i, given that o(i) = 0.
0
Solve -1/3*i**4 - 22/3*i**2 - 3 + 8*i + 8/3*i**3 = 0.
1, 3
Let w(v) = 2*v**3 + 14*v**2 + 8*v. Let h(s) = 3*s**3 + 15*s**2 + 7*s. Let c(g) = 4*h(g) - 5*w(g). Factor c(r).
2*r*(r - 6)*(r + 1)
Let v(q) be the first derivative of 2*q**3/3 + q**2 - 4*q - 1. Factor v(f).
2*(f - 1)*(f + 2)
Suppose -5*t = -0 - 25. Determine i, given that -13 + 3*i + 9 - t*i + 6*i**2 = 0.
-2/3, 1
Let r(f) be the second derivative of -f**3/6 - 2*f**2 - 3*f. Let x be r(-4). Factor 2/5*w**3 + 0*w + 2/5*w**2 + x.
2*w**2*(w + 1)/5
Let t(x) be the first derivative of x**6/18 + x**5/15 - 5*x**4/12 + x**3/3 + 30. Suppose t(v) = 0. What is v?
-3, 0, 1
Let d(p) = 4*p**2 - 2*p + 3. Let a be d(2). Let f = 139/9 - a. Factor 0*v**2 + f*v - 2/9 - 4/9*v**3 + 2/9*v**4.
2*(v - 1)**3*(v + 1)/9
Let l(x) = x - 6. Let h be l(0). Let v be 21/9 + 2/h. Factor -3 + 8*z + 8*z**2 + 3 - 4*z**4 + v*z**5 - 6*z**3.
2*z*(z - 2)**2*(z + 1)**2
Let f be -2*1/(-1) - 0. Let z(k) be the second derivative of -k**f + 1/20*k**5 + 1/30*k**6 - 1/4*k**4 - 5/6*k**3 + 0 + 3*k. Factor z(g).
(g - 2)*(g + 1)**3
Let s(q) be the first derivative of 4*q**5/5 + q**4 - 2. Factor s(d).
4*d**3*(d + 1)
Let s = 164 + -1474/9. Suppose 0 + 2/9*r**4 + s*r**5 + 0*r**2 + 0*r + 0*r**3 = 0. Calculate r.
-1, 0
Let n = 2/111 + 98/37. Determine i so that 2*i**2 + 2/3*i**3 + 0*i - n = 0.
-2, 1
Suppose -93 - 21 = -6*u. Let q = u - 17. Factor -2/3*m**q + 0 + 4/9*m.
-2*m*(3*m - 2)/9
Let o(t) be the third derivative of -5*t**2 + 0*t**3 - 1/1050*t**7 + 0*t**4 + 1/300*t**5 + 0 + 0*t + 0*t**6. What is a in o(a) = 0?
-1, 0, 1
Let n(j) be the first derivative of -j**5/5 + j**4/2 - j**2 + j + 7. Suppose n(r) = 0. What is r?
-1, 1
Suppose -2*y + 25 = -5*a, -3*y = 3*a - 2*a - 29. Suppose -5*m = -3*m - y. Find f such that f**4 + f**4 + f**5 - 10*f**3 + m*f**5 - 2*f**2 + 4*f = 0.
-1, 0, 2/3, 1
Find f such that 1/3*f**3 - 1/3*f**5 + 0*f + 0 + 4/3*f**2 - 4/3*f**4 = 0.
-4, -1, 0, 1
Let r(b) = -22*b**2 - 21*b + 6. Let k(d) = -d**2. Let q(l) = -5*k(l) - r(l). Suppose q(n) = 0. Calculate n.
-1, 2/9
Factor 0*i + 0 - 3/5*i**2 + 0*i**3 + 3/5*i**4.
3*i**2*(i - 1)*(i + 1)/5
Let f(c) be the first derivative of -2*c**5/65 - c**4/13 + 2*c**2/13 + 2*c/13 + 2. Suppose f(l) = 0. What is l?
-1, 1
Let n(g) be the third derivative of -g**5/60 + g**4/12 + 3*g**2. Factor n(z).
-z*(z - 2)
Let f(q) = -3*q**4 + 13*q**3 - 6*q**2. Let h(l) = 12*l**4 - 51*l**3 + 24*l**2. Let v(o) = -15*f(o) - 4*h(o). Factor v(b).
-3*b**2*(b - 2)*(b - 1)
Let k = 7 - 5. Find h such that -h**5 + 0*h + h + 0*h - 2*h**4 + 2*h**k = 0.
-1, 0, 1
Let a(t) be the second derivative of 1/8*t**5 + 1/2*t**2 - 1/12*t**4 + 0 + t - 5/12*t**3. Let a(c) = 0. Calculate c.
-1, 2/5, 1
Suppose -2 = -h + 1. Let l be (h - 43/14)*-4. Factor -2/7*a + l*a**2 + 0.
2*a*(a - 1)/7
Let b(o) be the third derivative of -o**6/600 - o**5/50 - o**4/24 + o**2 + 8. Let b(f) = 0. Calculate f.
-5, -1, 0
Let t(o) be the first derivative of -o**6/24 - o**5/10 + o**3/6 + o**2/8 + 3. Factor t(p).
-p*(p - 1)*(p + 1)**3/4
Let f = -100/3 - -34. Determine z, given that -f*z**5 - 4/3*z**4 + 4/3*z**2 + 0*z**3 + 0 + 2/3*z = 0.
-1, 0, 1
Let s be (16/(-20))/((-2)/(-10)). Let o be (-7)/(-14) + (-14)/s. Factor 2*n**5 + 2*n + 4*n**o - 4*n**3 + 4 + 2*n**4 - 4*n**4 - 2 - 4*n**2.
2*(n - 1)**2*(n + 1)**3
Let u(j) be the third derivative of -j**5/180 - j**4/36 - j**3/18 - 5*j**2. Factor u(v).
-(v + 1)**2/3
Let w(m) be the third derivative of -4*m**2 + 0*m + 1/12*m**4 - 1/30*m**5 + 0*m**3 + 0. Let w(o) = 0. Calculate o.
0, 1
Let y(w) be the third derivative of w**7/945 + w**6/270 - w**5/270 - w**4/54 - 40*w**2. Factor y(a).
2*a*(a - 1)*(a + 1)*(a + 2)/9
Let m = 578/15 + -115/3. Let -1/5*a + 0 + 0*a**2 + m*a**3 = 0. What is a?
-1, 0, 1
Let w(r) be the first derivative of 3*r**6/2 - 21*r**5/5 - 9*r**4/2 - 6. Factor w(n).
3*n**3*(n - 3)*(3*n + 2)
Factor 1/9*i - 4/9*i**2 - 1/9*i**3 + 4/9.
-(i - 1)*(i + 1)*(i + 4)/9
Factor -9 - 2*d**3 + 4*d + 14 + 2*d**2 - 5.
-2*d*(d - 2)*(d + 1)
Let k(o) be the third derivative of o**5/180 + o**2. Solve k(y) = 0 for y.
0
Let m be (6 - 2)*8/(-2). Let f be m*(-1)/5 - 3. Solve 2/5*r + f + 1/5*r**2 = 0 for r.
-1
Let u(w) = w**3 + 4*w**2 + 2*w - 2. Let f be u(-2). Factor 3 + 6*i**2 + 2 - f*i**2 - 8*i - 1.
4*(i - 1)**2
Let i(p) be the third derivative of p**9/20160 - p**8/1680 + p**7/420 + p**5/60 - 5*p**2. Let f(l) be the third derivative of i(l). Factor f(t).
3*t*(t - 2)**2
Let d(r) = -6*r**2 + 10*r - 6. Let h(u) = -3*u**2 - 2*u + 0*u**2 + 0 + 4*u**2 + 1. Let i(n) = 4*d(n) + 22*h(n). Let i(c) = 0. What is c?
-1
Suppose 3*l - 5*h - 35 = 0, -3*h + 11 - 48 = -5*l. Factor -3*i - 4*i**2 + 3 + l*i**2 + 0*i**2 - 4 + 3*i**3.
(i - 1)*(i + 1)*(3*i + 1)
Let s(h) = -h**2 - 7*h - 7. Let a be s(-5). Factor 2 - 2*p**a - 2*p + 5*p**2 - 5*p**2 + 4*p - 2*p**2.
-2*(p - 1)*(p + 1)**2
Let k = -10 + 16. What is d in 2*d + 8*d**2 - 6*d**3 + 19*d**2 - 18*d**4 - 11*d**2 + k*d = 0?
-2/3, 0, 1
Factor 6*s - 8 - 4*s**3 - 2*s + 5*s**2 + 3*s**2.
-4*(s - 2)*(s - 1)*(s + 1)
Suppose 3*g - 4*n + 0*n = 20, 0 = -3*g + 2*n + 10. Suppose 1 = -f + 5. Suppose -4*y**2 + y**4 - f*y**3 + 2 + y**4 + 2*y**5 + 2*y + g*y**5 = 0. What is y?
-1, 1
Solve 16*f**3 + 1 + 13*f**4 + 4*f + 18*f**2 - 2*f**3 + 3*f + 8*f**3 + 3*f**5 = 0.
-1, -1/3
Let q = 255188 - 119683080/469. Let v = q + 6/67. Suppose 0 - v*i + 0*i**2 + 2/7*i**3 = 0. What is i?
-1, 0, 1
Let f(t) be the third derivative of -t**6/1140 + t**5/570 + 5*t**2. Factor f(z).
-2*z**2*(z - 1)/19
Factor 5 + 5/3*x**2 - 20/3*x.
5*(x - 3)*(x - 1)/3
Suppose -y + 11 = -0*y. Let q = y + -7. Determine b so that 4*b**2 + b**2 - q*b**2 = 0.
0
Let j(o) = o**2 + o + 1. Let b(p) = -2. Let s = -5 - -2. Let k(g) = s*b(g) - 2*j(g). What is q in k(q) = 0?
-2, 1
Let l be 2/6 - (-15 - -14). Let 8/3*d + 4/3*d**2 + l = 0. What is d?
-1
Let j(v) be the third derivative of v**6/720 - v**5/360 - v**4/36 + v**3/9 + 14*v**2. What is x in j(x) = 0?
-2, 1, 2
Let p(o) be the second derivative of o**4/6 + 7*o. Factor p(c).
2*c**2
Let c be -1 - -2 - (7 - 7). Let g be c/(-7) - 272/(-42). Factor 1/3*u**2 + 7/3*u**5 + 5*u**3 + 0 + g*u**4 - 2/3*u.
u*(u + 1)**3*(7*u - 2)/3
Factor 2/7*n**2 - 8/7*n + 6/7.
2*(n - 3)*(n - 1)/7