- 1/2*p**5 = 0.
-1, 0, 1
Factor 3*n**2 + 2*n - 10*n + 5*n.
3*n*(n - 1)
Factor 0*w - 6/7*w**4 + 2/7*w**5 + 0 + 4/7*w**3 + 0*w**2.
2*w**3*(w - 2)*(w - 1)/7
Let x(p) be the third derivative of p**6/600 - p**5/100 + p**4/60 - 5*p**2. Determine q so that x(q) = 0.
0, 1, 2
Let k(x) be the first derivative of 1 + 1/2*x**4 - 2*x + 2/5*x**5 + 7/2*x**2 - 8/3*x**3 - 1/6*x**6. Factor k(h).
-(h - 1)**4*(h + 2)
Factor -1/3*k**2 + 8/3 + 2/3*k.
-(k - 4)*(k + 2)/3
Let r(w) be the first derivative of -w**2 + 0*w**4 + 0*w + 1/270*w**5 - 1/27*w**3 + 1. Let b(f) be the second derivative of r(f). Find q, given that b(q) = 0.
-1, 1
Let y be (-3)/18 - ((-10)/5)/12. Factor y*s**4 + 0*s + 0*s**2 + 0 - 1/3*s**5 + 1/3*s**3.
-s**3*(s - 1)*(s + 1)/3
Let q(v) be the second derivative of v**7/252 - 7*v**6/360 + v**5/30 - v**4/6 + 9*v. Let z(w) be the third derivative of q(w). Factor z(u).
2*(u - 1)*(5*u - 2)
Let w(c) = -c**3 - 3*c**2 + 6*c + 11. Let z be w(-4). Let j(l) be the first derivative of 1/4*l**2 - 1/8*l**4 + 0*l**z + 0*l - 2. Factor j(d).
-d*(d - 1)*(d + 1)/2
Factor 21/8*v**4 + 0 - 3/4*v**3 + 0*v**2 - 15/8*v**5 + 0*v.
-3*v**3*(v - 1)*(5*v - 2)/8
Let f be 2/(-6) - (-1 + 0). Factor -2/3*a**2 + 4/3*a - f.
-2*(a - 1)**2/3
Let y(h) be the first derivative of h**7/42 + h**6/40 - h**5/16 - h**4/16 + h**3/24 - h + 1. Let u(i) be the first derivative of y(i). What is m in u(m) = 0?
-1, 0, 1/4, 1
Let i(s) be the third derivative of -1/20*s**6 + 0*s**3 - s**2 - 1/12*s**4 + 1/10*s**5 + 0*s + 0 + 1/105*s**7. Factor i(t).
2*t*(t - 1)**3
Suppose -n = n + 4, 5*n + 66 = 4*a. Let c = a - 10. Determine g, given that -7/3*g**3 - 5/3*g + 1/3 + 2/3*g**c + 3*g**2 = 0.
1/2, 1
Let q(o) be the first derivative of -o**6/90 + o**5/120 - o**3/3 + 2. Let h(s) be the third derivative of q(s). Determine p, given that h(p) = 0.
0, 1/4
Suppose -3*v - 6 = d, 4*d - v - v = 4. Let b(o) be the third derivative of -2*o**2 + 1/72*o**4 + 1/9*o**3 + d*o - 1/180*o**5 + 0. Factor b(r).
-(r - 2)*(r + 1)/3
Let m(i) = -i - 1. Let u(c) = 5*c**2 - 4*c - 4. Let w(g) = -4*m(g) + u(g). Find k, given that w(k) = 0.
0
Let k(r) be the second derivative of -32*r**6/135 + 8*r**5/15 - r**4/27 - 4*r**3/9 - 2*r**2/9 - 11*r. Factor k(z).
-4*(z - 1)**2*(4*z + 1)**2/9
Let t(s) = -s + 0*s + 2*s - 2*s + 1. Let y be t(-1). Factor -2/5*j**4 + 8/5*j**3 + 8/5*j - 2/5 - 12/5*j**y.
-2*(j - 1)**4/5
Suppose 5*c + 0*c = 5. Factor 5*p**3 + 8*p**2 - 4 + c + 1 + p.
(p + 1)**2*(5*p - 2)
Suppose -5*u + v + 4 + 2 = 0, -u + 10 = 2*v. Suppose u = -t + 4. Suppose -1/3*q**t + 1/3 + 0*q = 0. Calculate q.
-1, 1
Suppose i - 26 = -i. Suppose 13 = 4*u + b - 2*b, 2*b - i = -5*u. Factor -2*g**2 - 2*g**4 - 2 + 2 - 4*g**u.
-2*g**2*(g + 1)**2
Let v be (-26)/10 + 5 + (-2 - 0). Factor -2/5*f**2 + 4/5*f + 0 - v*f**3.
-2*f*(f - 1)*(f + 2)/5
Let c be (-4)/(-2) + -4 - 18/(-8). Find v, given that -2*v**5 + 0 + 7/4*v**2 - c*v + 5*v**4 - 9/2*v**3 = 0.
0, 1/2, 1
Let n(a) be the first derivative of 0*a + 3/20*a**5 + 0*a**2 + 3/4*a**4 + 3 - 1/4*a**3 - 1/2*a**6. Determine u, given that n(u) = 0.
-1, 0, 1/4, 1
Let x(g) be the second derivative of -g**4/3 - 16*g**3/3 - 32*g**2 - 9*g. Factor x(m).
-4*(m + 4)**2
Let f(t) = 31*t**3 - 151*t**2 + 165*t - 43. Let m(o) = 156*o**3 - 756*o**2 + 824*o - 216. Let u(d) = 24*f(d) - 5*m(d). Factor u(v).
-4*(v - 3)*(3*v - 2)**2
Find t such that 9*t - 40 - 5*t**2 - 30*t - 9*t = 0.
-4, -2
Let q(k) be the first derivative of -1/36*k**4 - 2 + 0*k**2 - 1/18*k**3 - 2*k. Let f(b) be the first derivative of q(b). Factor f(r).
-r*(r + 1)/3
Suppose 5 = -v, -y - v - 20 = 3*v. Suppose -j**2 - 4 + j - 2*j + 5*j + y*j = 0. What is j?
2
Let o(x) be the first derivative of -12*x**4 - 4*x**3/3 + 2*x**2 + 19. Factor o(p).
-4*p*(3*p + 1)*(4*p - 1)
Suppose 4*u = -17 + 29. Suppose 2*z + 2*z = 16. Factor 0 + 0*t + 2/3*t**z + 0*t**u - 2/3*t**2.
2*t**2*(t - 1)*(t + 1)/3
Let s be 2/6 - (-65)/(-177). Let g = s - -128/295. Factor -6/5*w**3 + 0 + g*w + 4/5*w**4 + 0*w**2.
2*w*(w - 1)**2*(2*w + 1)/5
Let m(o) be the first derivative of 3 - 23/4*o**4 + 0*o - 18/5*o**5 + o**2 - o**3. Find b, given that m(b) = 0.
-1, -1/2, 0, 2/9
Let u(h) = -h**2 + 4*h + 2. Let k(f) = f - 4. Let s be k(8). Let m be u(s). What is t in 3*t**2 + t - 4*t**3 + 0*t**3 + 3*t**5 - t**m - 2*t**4 = 0?
-1, -1/3, 0, 1
Let d(j) be the third derivative of -j**8/3360 - j**7/140 - j**6/15 - 4*j**5/15 - j**3/3 + 3*j**2. Let g(w) be the first derivative of d(w). Factor g(o).
-o*(o + 4)**3/2
Let 15/8*w + 3/2 + 3/8*w**2 = 0. Calculate w.
-4, -1
Let w(t) = t**3 + 3*t**2 + 2*t + 3. Suppose 4*d = 3*z - 3 + 10, -3*d + z - 1 = 0. Let b be w(d). Solve 5*y - 3*y - 2 - b*y**3 + y**3 + 2*y**2 = 0 for y.
-1, 1
Let y(o) = o**2 + 6*o - 12. Let x be y(2). Let j(n) be the second derivative of 0 - 1/12*n**x + 0*n**2 + 1/30*n**6 + 0*n**5 + 0*n**3 + 4*n. Factor j(d).
d**2*(d - 1)*(d + 1)
Let x(l) be the second derivative of 0 + 1/20*l**5 + 13/72*l**4 + 1/3*l**2 + 1/3*l**3 + 1/180*l**6 - 3*l. Determine y, given that x(y) = 0.
-2, -1
Let w = -190/13 + 963/65. Determine j, given that -w*j**2 - 1/5*j + 0 + 1/5*j**3 + 1/5*j**4 = 0.
-1, 0, 1
Let y(r) be the third derivative of -r**7/210 + r**6/60 + r**5/60 - r**4/12 - 6*r**2. Find c such that y(c) = 0.
-1, 0, 1, 2
Let y(q) be the first derivative of q**7/6 + q**6/15 - 7*q**5/20 - q**4/6 + q - 5. Let z(r) be the first derivative of y(r). Determine d, given that z(d) = 0.
-1, -2/7, 0, 1
Let g(q) be the first derivative of -4/5*q + 6/5*q**2 - 1936/25*q**5 + 2 + 167/15*q**3 - 66/5*q**4. Factor g(z).
-(4*z + 1)**2*(11*z - 2)**2/5
Let f be (96/(-440))/((-3)/20). Factor -2/11*v**3 - 24/11*v + f + 12/11*v**2.
-2*(v - 2)**3/11
Let g(c) be the second derivative of c**7/15 + 4*c**6/25 - 16*c**5/25 - c**4/5 + 5*c**3/3 - 6*c**2/5 - 15*c + 1. Let g(q) = 0. Calculate q.
-3, -1, 2/7, 1
Let h(n) be the second derivative of -n**7/147 - n**6/35 - n**5/35 + n**4/21 + n**3/7 + n**2/7 - 23*n. Let h(g) = 0. What is g?
-1, 1
Let u(z) = -z**3 + z**2 + 3*z - 2. Let k be u(2). Let -2/9 + 2/9*r**4 + 4/9*r**3 - 4/9*r + k*r**2 = 0. Calculate r.
-1, 1
Let c be 5/(-40) + (-28)/(-160). Let f(v) be the first derivative of 0*v - 1/12*v**3 + 4 - 1/8*v**4 + 0*v**2 - c*v**5. Factor f(t).
-t**2*(t + 1)**2/4
Let v = -24 + 53. Solve 4*b**2 + v + 16*b - 4*b - 2*b**2 - 11 = 0.
-3
Let n(r) be the first derivative of r**4/24 + r**3/4 + r**2/2 - r + 2. Let q(p) be the first derivative of n(p). Factor q(c).
(c + 1)*(c + 2)/2
Let y = 68 - 68. Let g(s) be the first derivative of 0*s**3 + 0*s - 1/15*s**5 - 1/12*s**4 - 1 + y*s**2. Determine w so that g(w) = 0.
-1, 0
Let j(p) = 68*p**2 + 20*p. Let x(q) = 27*q**2 + 8*q. Let w(n) = -5*j(n) + 12*x(n). Suppose w(z) = 0. Calculate z.
-1/4, 0
Suppose 29*z + 2*z - 124 = 0. Let b = 55/4 + -49/4. Factor -1/2*p**3 + p**z + 0*p + b*p**5 + 0*p**2 + 0.
p**3*(p + 1)*(3*p - 1)/2
Suppose 3 = 2*j - 1. Let a = -2 + j. Factor 11*n**3 - 5*n**2 + 14*n**4 - n**3 + n**2 + a*n**3.
2*n**2*(n + 1)*(7*n - 2)
Let s(a) be the second derivative of 7/60*a**5 + 0*a**3 + 0 + 5*a + 1/18*a**4 + 0*a**2 - 2/45*a**6. Factor s(k).
-k**2*(k - 2)*(4*k + 1)/3
Suppose -2*f - 4*y + 18 = 0, -2*y - 4 = -0*y. What is h in -22*h**3 - h - f*h**4 + 4*h - 2 + 8*h**2 + 31*h**4 - 5*h**5 = 0?
-2/5, 1
Suppose 2*b - 3*b - 8 = 5*r, -18 = 3*r + 5*b. Let n be (-3)/(-18)*-2 - r. Factor 2/3*t**2 - 4/3*t + n.
2*(t - 1)**2/3
Let r be 170/45 + 4/18. Suppose 0 = -5*l + 4*b + 6, l - 7 = -b - r*b. Suppose -4/9*v**4 + 0*v**3 + 4/9*v**l + 2/9*v - 2/9*v**5 + 0 = 0. What is v?
-1, 0, 1
Let r(c) be the second derivative of -1/33*c**3 + 0 + 1/165*c**6 - 1/66*c**4 + 1/110*c**5 + 0*c**2 + 3*c. Determine y so that r(y) = 0.
-1, 0, 1
Suppose -3*d - 9 = -2*m, m - 4 = 3*d + 2. Suppose -2*a**2 + 2/5*a + 8/5*a**m + 0 = 0. Calculate a.
0, 1/4, 1
Let c = -319/2 + 164. Factor 0 - 9/2*z**2 - c*z**3 - 3/2*z**4 - 3/2*z.
-3*z*(z + 1)**3/2
Factor 30 + 3*s + s + 5*s - 4*s - 20*s**2 + 5*s**3.
5*(s - 3)*(s - 2)*(s + 1)
Factor -17*b**2 - 8*b**2 + 26*b**3 + 2*b**2 + 8*b - 12*b**4 + 2*b**5 - b**2.
2*b*(b - 2)**2*(b - 1)**2
Let u be -3 - (-4 + 2) - 8. Let v be (6/u)/((-1)/12). Factor v*z**2 + 1/2 - 4*z.
(4*z - 1)**2/2
Let m(i) be the first derivative of -1/2*i + 5/12*i**3 - 3/20*i**5 + 5/8*i**2 - 5/16*i**4 - 2. What is v in m(v) = 0?
-2, -1, 1/3, 1
Let -8/5*f**3 + 0*f*