vative of -1/2*k**2 + 1/12*k**4 - 2*k + 0 - 1/20*k**5 + 1/6*k**3. Find z, given that h(z) = 0.
-1, 1
Let j(y) be the first derivative of -y**6/3 + y**4 - y**2 + 20. Factor j(p).
-2*p*(p - 1)**2*(p + 1)**2
Factor 16*z**3 + 5*z + 3 + 5*z + 12*z**2 + 11*z**3 + z**4 - 21*z**3.
(z + 1)**3*(z + 3)
Find k, given that 7*k - 2*k**3 - 3*k**3 + 2*k**3 - 4*k**4 - k**5 + 4*k**2 - 3*k = 0.
-2, -1, 0, 1
Let n(p) = -p**5 - p**4 + p**3 - p**2 + p + 1. Let q(u) = 30*u**5 - 21*u**3 + u**2 - 5*u - 5. Let s(a) = 5*n(a) + q(a). Solve s(d) = 0.
-2/5, 0, 1
Let x be (-36)/(-5) - 1/5. Let h(k) = -k**2 - 3*k + 3. Let t(i) = 3*i**2 + 7*i - 7. Let c(w) = x*h(w) + 3*t(w). Let c(s) = 0. Calculate s.
0
Factor -12/5*b**2 - 2*b**3 - 2/5*b + 0.
-2*b*(b + 1)*(5*b + 1)/5
Let s be -1*1*(-3 - -3). Let w(l) be the third derivative of 1/315*l**7 + 0*l + 0*l**3 + 1/90*l**6 + 1/90*l**5 + 4*l**2 + s*l**4 + 0. Factor w(h).
2*h**2*(h + 1)**2/3
Let f(o) be the second derivative of -o**6/15 - 3*o**5/10 - o**4/3 + 8*o. Determine c so that f(c) = 0.
-2, -1, 0
Let i(d) = -d**3 + 14*d**2 - 13*d + 6. Let x be i(13). Let s = -4 + x. Let 2/9*q**4 + 2/9 + 0*q + 0*q**3 - 4/9*q**s = 0. Calculate q.
-1, 1
Let s = -162224/105 - -1545. Let m(g) be the third derivative of s*g**5 + 0*g**4 - 1/735*g**7 + 0 + 0*g + 0*g**6 - g**2 - 1/21*g**3. Factor m(b).
-2*(b - 1)**2*(b + 1)**2/7
Let t(i) = -5*i**3 - 10*i**2 - i - 8. Let f(l) = l**3 + l**2 + l + 1. Let b(v) = -6*f(v) - t(v). Factor b(j).
-(j - 2)*(j - 1)**2
Let a be 1/(-4)*(6 + -14). Let w = -1/12 - -7/12. Let 1 - 1/2*d**a + w*d = 0. What is d?
-1, 2
Suppose x = -2 + 5. Solve -3*u - 2*u - 2*u**2 + x*u = 0.
-1, 0
Let r(q) be the first derivative of -q**5/8 + q**4/2 - 3*q**3/4 + q**2/2 - q/8 - 10. Factor r(h).
-(h - 1)**3*(5*h - 1)/8
Let s(h) be the third derivative of 9*h**2 + 3/8*h**4 + 1/2*h**3 + 3/20*h**5 + 0 + 0*h + 1/40*h**6. Factor s(d).
3*(d + 1)**3
Let p = -64 + 66. Let i(w) be the second derivative of w - 1/120*w**6 + 0*w**p - 1/168*w**7 + 0*w**3 + 1/80*w**5 + 1/48*w**4 + 0. Factor i(h).
-h**2*(h - 1)*(h + 1)**2/4
Let z(n) be the first derivative of -n**4/22 + 4*n**3/33 - n**2/11 - 2. Factor z(j).
-2*j*(j - 1)**2/11
Let j(k) = 3*k**2 + 3*k - 5. Let o be j(8). Let w = -1049/5 + o. Suppose w*d + 2/5 + 2/5*d**3 + 6/5*d**2 = 0. What is d?
-1
Suppose o + 65 = -v + 3*v, 0 = -3*v + 4*o + 95. Let j = 38 - v. Factor -1/4*p**j - 1/4*p - 3/2*p**3 - p**4 + 0 - p**2.
-p*(p + 1)**4/4
Let c = 81/4 - 20. Find z such that 0 + c*z - 1/4*z**2 = 0.
0, 1
Let f(p) = -2*p**2 - 8*p - 8. Let q(o) = -2. Let z(m) = -2*f(m) + 18*q(m). Solve z(g) = 0 for g.
-5, 1
Let a(o) = 15*o**2 + 45*o + 45. Let g(f) = 7*f**2 + 22*f + 22. Let x(y) = 2*a(y) - 5*g(y). Factor x(n).
-5*(n + 2)**2
Suppose -f + 29 = 3*k - 3*f, 3*f = -3. Let c = k + -7. Factor 2/5*m**c + 2/5*m**4 + 4/5*m**3 + 0 + 0*m.
2*m**2*(m + 1)**2/5
Let j(g) = -g**3 + 21*g**2 - 20*g + 3. Suppose 28 = 4*a - 52. Let k be j(a). What is h in 1/2*h**k + 0 - h**2 + 0*h = 0?
0, 2
Let b = -45 + 45. Let i(h) be the third derivative of b*h**3 - 1/195*h**6 + 0 + 0*h - h**2 + 1/78*h**5 - 1/78*h**4 + 1/1365*h**7. Let i(v) = 0. Calculate v.
0, 1, 2
Let r = 0 + 1. Let o(l) = 4*l**5 - 2*l**3 + 2*l**2 + 2*l - 4. Let u(d) = d**5 + d**4 + d**3 - d**2 - 1. Let c(n) = r*o(n) - 2*u(n). Suppose c(y) = 0. What is y?
-1, 1
Let r be ((-1)/2)/((-1)/(-16)). Let s(w) = -w - 4. Let m be s(r). Determine k, given that 2*k**4 + m - 4*k - k**3 + 5*k**3 - 6 = 0.
-1, 1
Let y be (3 - (7 - 4))/(-2). Solve y*z + 1/3 - 1/3*z**2 = 0 for z.
-1, 1
Let r = -1233 - -8635/7. Factor -24/7*w + r*w**2 + 36/7.
4*(w - 3)**2/7
Suppose -5*j = -4*j - 4. Let m be j/(3/((-6)/(-4))). What is k in -3*k + k + 6*k**m - 4*k**2 = 0?
0, 1
Let a(w) = -3*w + 21. Let k be a(7). Let j(t) be the second derivative of 2*t + k*t**2 - 1/20*t**5 + 1/12*t**4 + 0*t**3 + 0. Factor j(i).
-i**2*(i - 1)
Let p be (2 - 8) + 116/18. Factor 0 - 2/9*f**2 + 0*f - p*f**3 - 2/9*f**4.
-2*f**2*(f + 1)**2/9
Let c(k) = 6*k - 2. Let h be c(1). Let a(x) be the first derivative of -1/2*x**2 - 1 + 0*x**3 + 0*x + 1/4*x**h. Factor a(v).
v*(v - 1)*(v + 1)
Let o be (2 - (-2)/(-4))*(-9)/(-27). Factor -1/4*y**4 + 1/4 - o*y + 0*y**2 + 1/2*y**3.
-(y - 1)**3*(y + 1)/4
Solve 16/5*t**4 + 8/5*t**2 + 4/5*t**5 + 4*t**3 + 0*t + 0 = 0 for t.
-2, -1, 0
Let l(f) be the third derivative of -f**7/105 - f**6/60 + f**5/6 - f**4/4 - 43*f**2. Let l(s) = 0. Calculate s.
-3, 0, 1
What is g in -6*g**3 - 3*g**2 - 2*g**2 + 2*g**2 - 3*g**4 = 0?
-1, 0
Let n(w) be the second derivative of w**4/24 - w**2/4 - 8*w. Let n(g) = 0. Calculate g.
-1, 1
Let o(x) be the first derivative of x**6/18 - x**5/15 - x**4/12 + x**3/9 - 7. Factor o(r).
r**2*(r - 1)**2*(r + 1)/3
Let t = -30/11 - -172/55. Find p such that 0 + 4/5*p**3 - t*p**4 + 0*p - 2/5*p**2 = 0.
0, 1
Determine t, given that -188/15*t**2 + 16/5*t**4 + 158/15*t**3 - 8*t - 32/15*t**5 - 16/15 = 0.
-2, -1/4, 2
Let c(u) be the second derivative of u**5/90 - u**4/6 + u**3 - 3*u**2 - 18*u. Factor c(a).
2*(a - 3)**3/9
Let l(z) = 8*z + 17 - z**2 + 7 - 4. Let g be l(10). Factor -2/3*p**5 - 2/3*p + g + 0*p**2 + 0*p**4 + 4/3*p**3.
-2*p*(p - 1)**2*(p + 1)**2/3
Let k(j) be the second derivative of 0*j**3 - j + 0*j**2 + 1/105*j**6 + 1/42*j**4 - 1/35*j**5 + 0. Find a, given that k(a) = 0.
0, 1
Let k(z) = 10*z**2 + 4*z. Let p(u) = 3*u**2 + u. Let o(s) = -2*k(s) + 7*p(s). Factor o(h).
h*(h - 1)
Let d = -23 + 23. Let z(h) be the second derivative of 0*h**2 + 2*h + 1/24*h**3 + 1/48*h**4 + d. Find c such that z(c) = 0.
-1, 0
Let c be 2/8 - 10/(-265). Let f = -2/53 + c. Factor 0*y**2 + 1/4*y**3 + 0 - f*y.
y*(y - 1)*(y + 1)/4
Let b = 6 - 4. Factor 0*r**b - 4*r - 8*r**4 - 2*r**2 - 2*r**4 - 7*r**3 + 23*r**3.
-2*r*(r - 1)**2*(5*r + 2)
Let d(y) = y**5 - y**4 - y**3 - y + 1. Let j(t) = -4*t**5 + 6*t**4 - 5*t**3 - 3*t + 3. Let n(a) = -3*d(a) + j(a). Factor n(m).
-m**3*(m - 1)*(7*m - 2)
Factor -j - 2*j + 89*j**3 + 3*j**2 - 90*j**3 + 1.
-(j - 1)**3
What is j in 2*j**4 - 11*j + 11*j + j**5 = 0?
-2, 0
Factor 2/7*x**5 + 0*x**3 - 2/7*x + 4/7*x**4 + 0 - 4/7*x**2.
2*x*(x - 1)*(x + 1)**3/7
Let i(x) be the second derivative of x**5/30 - x**3/3 + 2*x**2/3 + 4*x. Let i(h) = 0. Calculate h.
-2, 1
Let y(v) be the third derivative of 1/70*v**5 - 1/56*v**4 + 0*v + 0 - 1/280*v**6 + 6*v**2 + 0*v**3. Factor y(m).
-3*m*(m - 1)**2/7
Let s(d) be the first derivative of -d**7/3360 + d**6/1440 - 5*d**3/3 + 3. Let u(y) be the third derivative of s(y). Find o such that u(o) = 0.
0, 1
Suppose -4 = 4*p - 4*m, -3*p + p = 2*m - 6. Factor 6*r - 12*r + p + 6*r - r**2.
-(r - 1)*(r + 1)
Solve -1/9*m**2 + 0 + 0*m = 0 for m.
0
Suppose 0*i + 2*i + 8 = 0. Let t be (i - -3)*1/(-1). Factor -2*r**2 + 3*r**2 - t - 2*r - 2*r**2.
-(r + 1)**2
Let v = 5 - 2. Let z be -2 + 9/1 - 4. Solve -4*b**4 + 2*b**v + b**4 + 6*b**2 + b**z = 0.
-1, 0, 2
Let t(c) = -297*c**3 - 372*c**2 - 93*c + 12. Let w(g) = -g**2 + g. Let x(l) = -t(l) + 3*w(l). Factor x(i).
3*(3*i + 2)**2*(11*i - 1)
Suppose -2*d - 3*d + 15 = 0. Factor -2*t - 2*t + 0*t + 3 + t**4 - 7 + 4*t**d + 3*t**2.
(t - 1)*(t + 1)*(t + 2)**2
Let q(y) be the third derivative of 2*y**7/105 - 2*y**6/15 + 4*y**5/15 + 5*y**2. Determine g so that q(g) = 0.
0, 2
Let r(s) = -2*s**2 + 8*s + 10. Let y(x) = x + 1. Let j(i) = -r(i) + 12*y(i). Factor j(c).
2*(c + 1)**2
Suppose -5*d + 31 = -b, -4*b = -4*d + 9 + 35. Let m be 2/(-3) + (-58)/b. What is r in 3*r + 2*r**2 - 1 + 5 - m*r = 0?
1, 2
Let l = 95 - 93. Determine h, given that -4/7*h + 2/7*h**l + 2/7 = 0.
1
Factor -1/6*i**4 - 5/6*i**2 - 1/3*i + 0 - 2/3*i**3.
-i*(i + 1)**2*(i + 2)/6
Let w = -3 - -7. Solve -5*p**w + 3*p**4 + 4*p**4 = 0.
0
Suppose -3*r = -4*r + 3. Suppose 0 = -r*g - 2*w + w + 6, w - 4 = -2*g. Determine p so that -3/4*p**4 + 0 + 0*p - 1/2*p**g + 5/4*p**3 = 0.
0, 2/3, 1
Let w(x) = 15*x**3 - 41*x**2 + 31*x - 11. Let d(c) = 45*c**3 - 122*c**2 + 92*c - 32. Let v(g) = 6*d(g) - 17*w(g). What is t in v(t) = 0?
1/3, 1
Find j, given that 0*j**3 - 5*j**5 - 5*j**3 + 10*j**5 = 0.
-1, 0, 1
Let z be (-8)/(-5) + 2/5. Solve -2*q**z - q**4 + 2*q**4 + 4*q**2 - 3*q**2 = 0 for q.
-1, 0, 1
Let m be 18/10 + (-5)/(-25). Suppose 3*d - 10 = -m*d. Determine i, given that -1/2*i**2 - 2*i - d = 0.
-2
Suppose 5*b - 6*b + 2 = 0. Factor 6*n**4 - 15*n**b + 3*n**2 - 4*n**3 + 8 + 4*n - 2*n**4.
4*(n - 2)*(n - 1)