16*w**2 + 40*w**2 - q*w**3 - 4*w + 12*w**4 - 2*w**5 - 5*w + w = 0. Calculate w.
0, 1, 2
Let b(r) be the second derivative of 1/8*r**2 + 1/6*r**3 + 0 + 1/12*r**4 - r. Let b(m) = 0. Calculate m.
-1/2
Let k be (-82)/((-21)/18 - -2). Let z = 100 + k. Factor -z - 2/5*l**2 + 8/5*l.
-2*(l - 2)**2/5
Let t(z) be the third derivative of z**7/315 + z**6/60 + z**5/45 - z**2. Factor t(q).
2*q**2*(q + 1)*(q + 2)/3
Let o(i) be the third derivative of i**6/120 + i**5/30 - 11*i**2. Factor o(d).
d**2*(d + 2)
Let l(z) be the first derivative of 2*z**3/21 + 2*z**2/7 + 2*z/7 + 12. Find o, given that l(o) = 0.
-1
Let r(b) = -b. Suppose -1 - 83 = -4*w. Let u(d) = -4*d**3 - 3*d**2 + 8*d. Let n(a) = w*r(a) + 3*u(a). Factor n(i).
-3*i*(i + 1)*(4*i - 1)
Suppose 2*r = 2*o - 16, 4*o - r = r + 22. Suppose 4 = -2*d, -2*p = o*d - 2 + 4. Find n, given that 0 - 2/3*n + 2/3*n**p = 0.
0, 1
Suppose -6/5*w**3 + 0*w**4 + 3/5*w + 0*w**2 + 0 + 3/5*w**5 = 0. What is w?
-1, 0, 1
Suppose -32/11 - 80/11*c - 2/11*c**4 - 6*c**2 - 20/11*c**3 = 0. What is c?
-4, -1
Suppose 0*l - l = -4*u + 16, 5*l = u - 4. Factor -4*g**2 + 2*g - 2*g**5 + u*g**4 - 2*g**4 + 2*g**4.
-2*g*(g - 1)**3*(g + 1)
Let y(a) be the second derivative of 0 + 2*a - a**2 + 0*a**3 + 1/6*a**4. Solve y(f) = 0.
-1, 1
Let a(m) be the third derivative of 2*m**7/735 + m**6/42 + 3*m**5/35 + m**4/6 + 4*m**3/21 - 15*m**2. Factor a(c).
4*(c + 1)**3*(c + 2)/7
Suppose 24 = 2*v - 4*z, -9 = -v + z - 1. What is o in -7/5*o**2 - 1/5*o - 8/5*o**3 + 16/5*o**v + 0 = 0?
-1/4, 0, 1
Factor 7/2*i - 5/2*i**2 + 1/2*i**3 - 3/2.
(i - 3)*(i - 1)**2/2
Suppose b - 2*b = -6*b. Determine i, given that 2/7*i**3 + b*i**2 - 2/7*i + 0 = 0.
-1, 0, 1
Let o(w) be the second derivative of 5*w**4/72 - w**3/3 + w**2/3 + 7*w. Factor o(n).
(n - 2)*(5*n - 2)/6
Let d(c) be the second derivative of 0 - 3/10*c**5 - 5*c - 1/2*c**4 - 1/3*c**3 - 1/15*c**6 + 0*c**2. Factor d(q).
-2*q*(q + 1)**3
Let p(w) = -2*w**4 - 6*w**3 - 8*w**2 - 6*w. Let y(i) = 8*i**4 + 23*i**3 + 31*i**2 + 25*i. Let d(x) = -9*p(x) - 2*y(x). Solve d(j) = 0 for j.
-2, -1, 0
Let t(a) be the first derivative of -6 + 0*a**2 - 1/25*a**5 + 0*a**4 - 1/5*a + 2/15*a**3. Find c such that t(c) = 0.
-1, 1
Suppose 12*g = -4*g. Factor 2/9*l**2 + g + 0*l.
2*l**2/9
Let z(d) = -d**2 + 7*d + 6. Let c(u) = u + 1. Let j be ((-3)/2)/(1/(-2)). Let k = 4 - j. Let b(r) = k*z(r) - 6*c(r). Solve b(p) = 0 for p.
0, 1
Let j(p) be the second derivative of -p**5/180 - p**4/24 - p**3/9 + p**2/2 + 3*p. Let d(w) be the first derivative of j(w). Factor d(c).
-(c + 1)*(c + 2)/3
Let g(q) be the third derivative of 1/105*q**7 - 1/30*q**5 + 0 + 0*q**4 - 2*q**2 + 0*q**3 + 0*q**6 + 0*q. Factor g(d).
2*d**2*(d - 1)*(d + 1)
Let u(b) be the second derivative of -b**6/120 + 3*b**5/80 - b**4/16 + b**3/24 - 4*b. Factor u(m).
-m*(m - 1)**3/4
Suppose 30 = 5*u - 5*r, 2*r + 1 + 8 = u. Solve -2/9*n**2 + 0 + 2/9*n - 2/9*n**u + 2/9*n**4 = 0 for n.
-1, 0, 1
Let v(l) be the first derivative of -l**6/12 + 2*l**5/5 - l**4/2 - l**3/3 + 5*l**2/4 - l - 41. Find s, given that v(s) = 0.
-1, 1, 2
What is m in -25/4*m**2 + 5/4 - 5*m = 0?
-1, 1/5
Let j(g) = g**3 - 10*g**2 + 11*g - 8. Let p(b) = 2*b**3 - 19*b**2 + 23*b - 16. Let n(l) = -5*j(l) + 3*p(l). Factor n(a).
(a - 4)*(a - 2)*(a - 1)
Let c be (-2)/(-9) + 5/(-15). Let w = c + 4/9. Factor 1/3*x - w*x**2 + 2/3.
-(x - 2)*(x + 1)/3
Let d(w) be the third derivative of 1/240*w**6 + 0 + 1/3*w**3 + 0*w**4 - 3*w**2 - 1/40*w**5 + 0*w. Factor d(j).
(j - 2)**2*(j + 1)/2
Let p = -176 + 176. Find j, given that 0*j**2 + p - 1/3*j + 1/3*j**3 = 0.
-1, 0, 1
Let r(u) be the first derivative of -u**5/80 - u**4/48 + u**3/24 + u**2/8 - 3*u - 2. Let a(d) be the first derivative of r(d). Suppose a(x) = 0. Calculate x.
-1, 1
Suppose -3*x - 5 = -4*m, 2*x = 2*m + 6*x - 30. Factor g - 6*g**2 - 3*g**m + 9*g**3 - g.
-3*g**2*(g - 1)**2*(g + 2)
Let x(k) be the first derivative of -k**5/20 + k**4/8 + k**3 - 2*k**2 + 5. Let w(j) be the second derivative of x(j). Factor w(d).
-3*(d - 2)*(d + 1)
Factor 0 + 4/3*a**3 + 2/3*a**4 + 2/3*a**2 + 0*a.
2*a**2*(a + 1)**2/3
Suppose w**4 + 9*w**4 - 2*w**4 - 2*w**3 - 3*w**4 - 3*w**5 = 0. What is w?
0, 2/3, 1
Let m be 5 - (4 - 1 - 3). Suppose -m*t + 0 + 20 = 0. Suppose -y**5 + 2*y**4 + t*y**5 - 5*y**3 + 4*y**3 = 0. Calculate y.
-1, 0, 1/3
Let j = -12 - -14. Let t be ((-15)/(-9) - j)*-1. Factor 1/3*s**3 - 1/3*s + 0 - t*s**2 + 1/3*s**4.
s*(s - 1)*(s + 1)**2/3
Factor -21*s**4 + 79 - 6*s - 33*s**2 - 79 - 48*s**3.
-3*s*(s + 1)**2*(7*s + 2)
Let s be (1 - 2)/(1/(-6)). Let i(l) = -15*l**2 + 7*l + 11. Let d(a) = 4*a**2 - 2*a - 3. Let k(t) = s*i(t) + 22*d(t). Solve k(w) = 0.
-1, 0
Let s(p) be the second derivative of -8/3*p**3 - 4*p**2 - 1/6*p**4 + 3/10*p**5 + 3*p + 0. Solve s(q) = 0.
-1, -2/3, 2
Let b(i) = i**3 + 3*i**2 + 3*i + 2. Let l be b(-3). Let p = 9 + l. Let 4*s**2 + 2 - s**3 - 4*s**p - 2*s**2 + 3*s - 2*s = 0. Calculate s.
-2, -1, 1
Let u(a) be the second derivative of 0 - 2/3*a**4 + 7/3*a**3 + 7*a + 2*a**2. Factor u(g).
-2*(g - 2)*(4*g + 1)
Let y(u) be the second derivative of -u**6/15 + u**5/10 + u**4/6 - u**3/3 + 9*u. Find k, given that y(k) = 0.
-1, 0, 1
Let i(j) be the third derivative of 0*j**3 + 0*j + 3*j**2 - 1/70*j**7 + 0*j**5 + 0 - 1/20*j**6 + 0*j**4. Solve i(g) = 0.
-2, 0
Let p(m) = m**4 + 2*m**2 - 4*m - 3. Let s(o) = -2*o**4 + o**3 - 5*o**2 + 9*o + 7. Let d(h) = 10*p(h) + 4*s(h). Factor d(r).
2*(r - 1)*(r + 1)**3
Let f(c) be the first derivative of 1 - 3/160*c**5 + 0*c**2 + 1/16*c**4 + 1/480*c**6 + 0*c + 1/3*c**3. Let o(n) be the third derivative of f(n). Solve o(t) = 0.
1, 2
Let d(h) = -h**2 - h - 1. Let t(p) = -2*p**3 - 4*p**2 - 52*p - 32. Let v(b) = -36*d(b) - 2*t(b). Find w, given that v(w) = 0.
-5, -1
Let b(g) be the first derivative of g**4/60 - g**3/15 + g**2/10 + 4*g + 1. Let u(o) be the first derivative of b(o). Suppose u(k) = 0. Calculate k.
1
Let b(c) be the second derivative of c**6/40 + c**5/40 - c**4/16 - c**3/12 - 2*c. Factor b(a).
a*(a - 1)*(a + 1)*(3*a + 2)/4
Let v(k) be the second derivative of -k**8/168 - k**7/35 - k**6/20 - k**5/30 - k**2 + k. Let x(b) be the first derivative of v(b). Find q such that x(q) = 0.
-1, 0
Suppose -2/3*v**3 + 0*v**2 + 0*v + 0 - 8/3*v**4 - 2*v**5 = 0. What is v?
-1, -1/3, 0
Let v = 13 + -7. Let m(g) be the second derivative of 0 + 1/15*g**v - 1/5*g**5 - 1/3*g**4 + g**2 - 2*g + 1/3*g**3 + 1/21*g**7. Suppose m(y) = 0. What is y?
-1, 1
Factor 16/5*x - 18/5 + 2/5*x**2.
2*(x - 1)*(x + 9)/5
Let h(m) be the second derivative of m**6/30 + m**5/80 - m**4/4 - 11*m**3/24 - m**2/4 + 4*m. Suppose h(s) = 0. Calculate s.
-1, -1/4, 2
Let q(m) be the first derivative of -3 + 0*m - 1/4*m**4 + 0*m**3 + 0*m**2. Determine d, given that q(d) = 0.
0
Let w(s) be the third derivative of -s**6/1020 + s**5/510 + s**4/51 - 4*s**3/51 - 7*s**2. Determine f, given that w(f) = 0.
-2, 1, 2
Suppose -f + n + 13 = 5, 4*f = -2*n + 20. Factor 9*r - 3*r + 2*r**3 - 2*r - f*r**2.
2*r*(r - 2)*(r - 1)
Let s(i) be the first derivative of -2*i**3/3 + 8*i**2 - 14*i + 12. Determine h so that s(h) = 0.
1, 7
Let q(g) be the first derivative of g**4 + 4*g**3/3 - 32*g**2 + 80*g + 22. Factor q(u).
4*(u - 2)**2*(u + 5)
Suppose 16*b = 23 + 9. Let 0 - 2/5*i**b + 4/5*i - 6/5*i**3 = 0. What is i?
-1, 0, 2/3
Factor 3*n**5 - 2*n**2 - 3*n + 6*n**4 + 0*n**2 - 4*n**2.
3*n*(n - 1)*(n + 1)**3
Suppose 4*l - 12 = 4. Solve -6*u**3 + 6*u**3 - 2 - 2*u**l + 4*u**2 = 0 for u.
-1, 1
Suppose -1 + 116*l - 4*l**3 + 120*l**2 + 18 + 7 + 32*l**3 = 0. Calculate l.
-3, -1, -2/7
Suppose -9*r**2 - 64*r**3 - 2*r + 61*r**3 + 14*r = 0. What is r?
-4, 0, 1
Let l be (135/20 - 2) + (-3)/4. Factor 0*c - 2*c**l - 2/3*c**2 + 0 + 2*c**3 + 2/3*c**5.
2*c**2*(c - 1)**3/3
Let d(g) be the second derivative of 3*g - 1/12*g**4 - 1/2*g**2 + 0 - 1/84*g**7 - 1/10*g**5 + 5/12*g**3 + 1/15*g**6. Let d(m) = 0. Calculate m.
-1, 1, 2
Let g(d) be the third derivative of -d**6/780 - d**5/195 + d**4/39 + 8*d**3/39 - 6*d**2. Factor g(i).
-2*(i - 2)*(i + 2)**2/13
Determine t, given that 2*t**2 + 4/3*t + 0*t**3 - 2/3*t**4 + 0 = 0.
-1, 0, 2
Let b(v) be the first derivative of -v**4/42 + v**3/21 + v + 2. Let w(j) be the first derivative of b(j). Suppose w(d) = 0. What is d?
0, 1
Suppose 12 = 3*x - 18. Suppose -2*d = 5*a - 29, -3*a + x = -a. Factor 2 + 2*r + 2*r + r**d 