e first derivative of 8*c**6 - 8*c**3 + 5 - 3/2*c**2 + 0*c - 45/4*c**4 + 24/5*c**5. What is m in q(m) = 0?
-1, -1/4, 0, 1
Let h be 186/(-360) - (-3)/5. Let b(m) be the first derivative of -2 + 0*m + 7/20*m**5 - 1/8*m**2 - 9/16*m**4 - h*m**6 + 5/12*m**3. Factor b(l).
-l*(l - 1)**3*(2*l - 1)/4
Let r(k) = k**3 - 17*k**2 + 30*k + 4. Let b be r(15). Let -14/3*v**2 + 0 + 4/3*v**3 + 14/3*v**b - 4/3*v = 0. Calculate v.
-1, -2/7, 0, 1
Let n(t) = t**2 - 9*t + 12. Let z be n(8). What is w in 3*w**3 - 3*w - 3*w - 5*w**3 + z*w - 4*w**2 = 0?
-1, 0
Let f(a) be the second derivative of -a**7/42 - a**6/15 + 7*a**5/20 + 5*a**4/3 + 2*a**3 - 3*a. Factor f(d).
-d*(d - 3)*(d + 1)*(d + 2)**2
Let k(h) be the third derivative of -h**8/2240 + h**7/420 - h**6/240 - h**4/24 + 2*h**2. Let c(o) be the second derivative of k(o). Factor c(p).
-3*p*(p - 1)**2
Let i(b) = b**2 - 3*b. Suppose -4*v + 6*o = 2*o - 12, 0 = 3*o + 15. Let g(l) = -3*l**2 + 7*l. Let d(k) = v*g(k) - 5*i(k). Factor d(w).
w*(w + 1)
Determine w so that 0 - 3/7*w**2 + 2/7*w + 1/7*w**3 = 0.
0, 1, 2
Suppose -2*d = -3 - 3. Let z(x) be the first derivative of 0*x**2 + 0*x - d - 1/6*x**3 + 1/16*x**4. Let z(w) = 0. What is w?
0, 2
Let b(k) be the first derivative of 0*k**2 - 2/13*k + 1 + 2/39*k**3. Find c such that b(c) = 0.
-1, 1
Let k = 115/3 - 38. Let t(f) be the third derivative of 4/15*f**6 - 4/15*f**5 - k*f**3 + 2*f**2 + 0 + 0*f - 7/12*f**4. Factor t(y).
2*(y - 1)*(4*y + 1)**2
Let h(t) = -t - 3. Let d be h(-10). Let n(b) = 22*b**2 + 4*b + 4. Let s(q) = 43*q**2 + 8*q + 7. Let f(o) = d*n(o) - 4*s(o). Factor f(y).
-2*y*(9*y + 2)
Let d(q) be the third derivative of -q**8/1680 - q**7/175 - 7*q**6/300 - 4*q**5/75 - 3*q**4/40 - q**3/15 + 24*q**2. Factor d(i).
-(i + 1)**4*(i + 2)/5
Let v(x) be the second derivative of x**6/45 + x**5/6 + x**4/3 - 4*x**3/9 - 8*x**2/3 - 3*x. Factor v(a).
2*(a - 1)*(a + 2)**3/3
Find o, given that 15/7*o**3 - 3/7*o**2 - 15/7*o + 9/7*o**4 - 6/7 = 0.
-1, -2/3, 1
Let k(r) = -r**2 + 1. Let d(f) = f**3 - f**2 + 2*f + 4. Let v(a) = -d(a) + 4*k(a). Factor v(g).
-g*(g + 1)*(g + 2)
Let h(o) be the first derivative of 3 + 1/6*o**4 - 4/9*o**3 - 2*o + 1/3*o**2. Let a(w) be the first derivative of h(w). Solve a(s) = 0 for s.
1/3, 1
Let w = -10281/7 - -1469. What is f in w - 2/7*f**4 - 4/7*f + 0*f**2 + 4/7*f**3 = 0?
-1, 1
Let m(t) be the second derivative of 14/3*t**3 + 61/12*t**4 + 0 - 3*t + 2*t**2 + 21/10*t**5. Let m(i) = 0. What is i?
-2/3, -1/2, -2/7
Find o such that -4/5 - 6/5*o - 2/5*o**2 = 0.
-2, -1
Suppose 0 = -5*a - 0*v - 4*v + 2, -4*v = 4*a. Find i, given that -i**a + 2/3*i + 0 = 0.
0, 2/3
Factor -8/5 + 9/5*j**3 + 34/5*j**2 + 28/5*j.
(j + 2)**2*(9*j - 2)/5
Determine w, given that -4/5*w + 2/5*w**2 - 6/5 = 0.
-1, 3
Let y(x) = 3*x**2 - x + 2. Let l be y(1). Let f(p) be the second derivative of -1/16*p**l + 1/4*p**3 - 3*p + 0 - 3/8*p**2. Factor f(k).
-3*(k - 1)**2/4
Determine x so that 0*x**2 - 2*x**2 - 4*x + 2*x = 0.
-1, 0
Factor -3 - 27*d**2 - 14*d**3 - 2*d - 21*d - 7*d**3 - 6*d**4 + 8*d.
-3*(d + 1)**3*(2*d + 1)
Let q = -6 - -4. Let v = q - -5. Find o such that -5*o**4 - 7*o**5 + 3*o + 7*o**3 - 5*o + 0*o**v + 2*o**3 + 5*o**2 = 0.
-1, 0, 2/7, 1
Let r(i) be the first derivative of -i**6/9 + 4*i**5/15 + i**4/6 - 4*i**3/9 - 2. Find t, given that r(t) = 0.
-1, 0, 1, 2
What is n in 22*n**2 + 3*n**4 + 22*n**2 - 4*n**4 + 2*n**3 - 45*n**2 = 0?
0, 1
Let v(w) = w**3 + 6*w**2 - 6*w + 9. Let p be v(-7). Let u be 1/((-6)/11) - -2. Factor 0 - u*q**p - 1/6*q.
-q*(q + 1)/6
Let q(l) be the second derivative of 4/3*l**2 - 3*l + 0 + 4/3*l**3 - 7/18*l**4. Suppose q(p) = 0. What is p?
-2/7, 2
Let d(b) = 6*b**3. Let r(a) = 21*a**3. Let f(q) = 18*d(q) - 5*r(q). Factor f(w).
3*w**3
Let d = -300 + 75. Let i = 905/4 + d. Factor -i*v**2 - 3/2*v - 1/4.
-(v + 1)*(5*v + 1)/4
Let c = -1/17 - -21/68. What is k in 0*k**3 - 1/4*k**5 - 1/2*k**2 + c*k + 0 + 1/2*k**4 = 0?
-1, 0, 1
Suppose -19*g + 19 + 38 = 0. Determine v so that -3/4*v**3 + 0 - 3*v - g*v**2 = 0.
-2, 0
Let 2/7*x + 0 + 1/7*x**2 = 0. Calculate x.
-2, 0
Factor 3*j**5 - 4*j**3 + 4 + 3*j**3 - 4*j**2 - 2*j**5 + 3*j**4 - 3*j**2.
(j - 1)**2*(j + 1)*(j + 2)**2
Let q(s) = -5*s**2 + 27*s - 6. Let h(y) = 30*y**2 - 160*y + 35. Let w(t) = 6*h(t) + 35*q(t). Factor w(m).
5*m*(m - 3)
Let d(g) = 2*g**4 - g**3 - 9*g**2 - 13*g - 1. Let r(a) = -2*a**4 + 8*a**2 + 12*a + 2. Let n(t) = 2*d(t) + 3*r(t). Factor n(c).
-2*(c - 2)*(c + 1)**3
Let w(r) be the first derivative of -r**4/18 - 2*r**3/27 + r**2/9 + 2*r/9 + 6. Find o such that w(o) = 0.
-1, 1
Let g = -12 + 15. Factor 0*m**2 - m**2 + m**4 + m + 0*m**3 - 4*m**g + 3*m**3.
m*(m - 1)**2*(m + 1)
Let l(g) = 4*g**5 - 2*g**4 - 20*g**3 + 18*g**2 - 6. Let v(a) = -4*a**5 + a**4 + 20*a**3 - 17*a**2 + 5. Let p(o) = 5*l(o) + 6*v(o). Factor p(s).
-4*s**2*(s - 1)**2*(s + 3)
Suppose 3*x = 5*x. Suppose 3*y**2 - 3 + x*y + 0*y = 0. Calculate y.
-1, 1
Suppose -5*m + 4*m - 4*n + 23 = 0, 20 = 5*m + n. Factor -2/5*s**2 - 2/5*s**4 + 0*s + 0 - 4/5*s**m.
-2*s**2*(s + 1)**2/5
Suppose -4*u = 2*u. Factor -1/2 + 0*x**3 - 1/2*x**4 + u*x + x**2.
-(x - 1)**2*(x + 1)**2/2
Let t(x) be the second derivative of 2*x**6/3 + x**5/4 - 5*x**4 + 25*x**3/6 + 5*x**2 + 12*x. Factor t(r).
5*(r - 1)**2*(r + 2)*(4*r + 1)
Let g(w) be the second derivative of -2*w**6/5 - 39*w**5/20 - 15*w**4/4 - 7*w**3/2 - 3*w**2/2 - 8*w. Solve g(r) = 0.
-1, -1/4
Let q(u) be the second derivative of 1/15*u**5 + 0 + 1/3*u**2 - 1/45*u**6 + 2*u - 2/9*u**3 + 0*u**4. Factor q(n).
-2*(n - 1)**3*(n + 1)/3
Factor -3*d**5 - 6*d**2 + 2*d**4 - 13*d**3 + 15*d**3 + d + 1 + 3*d**4.
-(d - 1)**3*(d + 1)*(3*d + 1)
Let w(k) be the second derivative of k**4/30 - 2*k**3/15 - 4*k. Factor w(z).
2*z*(z - 2)/5
Let f(k) = 9*k**4 - 6*k**3 + 3*k**2 + 6*k. Let a(z) = -5*z**2 - z + 2*z**2 + 2*z**2 - 5*z**3 + 6*z**3 - z**4. Let w(d) = 6*a(d) + f(d). Factor w(i).
3*i**2*(i - 1)*(i + 1)
Let v = 101/372 - 2/93. Find h, given that 1/4*h**4 + v - 1/2*h**2 + 0*h + 0*h**3 = 0.
-1, 1
Let y(g) be the first derivative of 5*g**4/4 - 15*g**2/2 - 10*g + 3. Factor y(u).
5*(u - 2)*(u + 1)**2
Determine u so that -16/7*u - 8/7 - 2/7*u**3 - 10/7*u**2 = 0.
-2, -1
Let m(f) = -4*f**3 + 2*f**2 - 8*f - 2. Let n(h) = 9*h**3 - 16*h**2 + 11*h + 4 + 6*h + 12*h**2. Let q(v) = 13*m(v) + 6*n(v). Factor q(i).
2*(i - 1)*(i + 1)**2
Let g(y) = 3*y + 9. Let c be g(-3). Let w(p) be the first derivative of 3 - 2/7*p**3 + c*p**2 - 1/14*p**4 + 8/7*p. Determine b, given that w(b) = 0.
-2, 1
Let d = 6 + -5. Let g(s) = s**3 + 4*s**2. Let p(o) = o**2. Let i(c) = d*g(c) - 5*p(c). Determine a, given that i(a) = 0.
0, 1
Let r = -18 + 24. Factor -7*i**2 + r*i**2 + 0*i - i.
-i*(i + 1)
Let s(o) be the third derivative of -1/40*o**6 + 0*o - 1/60*o**5 - 1/105*o**7 + 0 + 0*o**3 - 4*o**2 + 0*o**4. Factor s(y).
-y**2*(y + 1)*(2*y + 1)
Let y(q) be the second derivative of -q**4/12 - q**3/3 + 35*q. Find p, given that y(p) = 0.
-2, 0
Let w be 2*(-3 - -5) + 6 + -7. Let v(z) be the third derivative of 0 - 1/240*z**6 - 1/12*z**w - 2*z**2 + 0*z + 1/48*z**4 + 1/120*z**5. Factor v(g).
-(g - 1)**2*(g + 1)/2
Let n be (-2 + (-4 - -4))*-1. Factor 0*x + 1/5*x**n + 1/5*x**3 + 0.
x**2*(x + 1)/5
Let w(b) be the third derivative of 0 + 0*b**3 + 0*b**4 - 1/630*b**7 + 0*b + 3*b**2 + 0*b**6 + 1/180*b**5. Factor w(r).
-r**2*(r - 1)*(r + 1)/3
Let f = 43/25 + 821/75. Factor 14/3*c**3 + 8/3 + 16/3*c - f*c**2.
2*(c - 2)*(c - 1)*(7*c + 2)/3
Factor 1/5*h - 3/10 + 1/10*h**2.
(h - 1)*(h + 3)/10
Let l(s) be the first derivative of -s**3/18 + s**2/12 - 2. Let l(a) = 0. What is a?
0, 1
Let l(c) be the first derivative of 0*c**3 + 1/24*c**6 + 1/20*c**5 - 2*c**2 - 1/12*c**4 + 3 + 0*c. Let z(n) be the second derivative of l(n). Factor z(x).
x*(x + 1)*(5*x - 2)
Suppose 2 = h - 4*z, -7*h + 2*h - 53 = z. Let x = h - -13. Factor 0*t**2 - 2/9*t**x + 0 + 0*t - 2/9*t**4.
-2*t**3*(t + 1)/9
Let s(t) be the third derivative of -t**6/180 - 2*t**5/45 - 5*t**4/36 - 2*t**3/9 - 7*t**2. Let s(c) = 0. What is c?
-2, -1
Let g(c) be the third derivative of 1/630*c**7 + 0 + 1/360*c**6 - 1/90*c**5 + 0*c**4 + 0*c**3 + 0*c + 9*c**2. Factor g(q).
q**2*(q - 1)*(q + 2)/3
Solve -1/3*l**3 + 0*l**2 + 2 + 7/3*l = 0.
-2, -1, 3
Suppose 0*w - 8/11 + 2/11*w**2 = 0. Calculate w.
-2, 2
Let o(s) = -5*s**3 - 22*s**2 - 104*s - 216. Let c(k) = -k**3 - k*