*z + 15 = -z. Find q such that h + 0*q**2 + 1/5*q**3 + 0*q + 0*q**4 - 1/5*q**5 = 0.
-1, 0, 1
Let h(p) = 10*p**4 - 80*p**3 + 150*p**2 + 68*p - 172. Let q(d) = -4*d**4 + 32*d**3 - 60*d**2 - 27*d + 69. Let g(v) = 5*h(v) + 12*q(v). Factor g(k).
2*(k - 4)**2*(k - 1)*(k + 1)
Let v(h) be the third derivative of -h**7/126 - 11*h**6/72 - 35*h**5/36 - 125*h**4/72 + 19*h**2. Let v(l) = 0. Calculate l.
-5, -1, 0
Let m(u) be the first derivative of -4*u**5/5 - u**4 + 8*u**3/3 - 8. Factor m(d).
-4*d**2*(d - 1)*(d + 2)
Let p(h) be the second derivative of -2/3*h**6 - 8/7*h**7 + 0*h**4 + 0 - 1/3*h**3 + 3/2*h**5 + 0*h**2 - 4*h. Solve p(t) = 0.
-1, -1/4, 0, 1/3, 1/2
Let k(v) be the second derivative of -v**5/5 - v**4/3 + v. Let k(m) = 0. Calculate m.
-1, 0
Let k(u) be the second derivative of -1/10*u**5 + 1/6*u**4 - 1/2*u**2 + 0 + 1/6*u**3 - 5*u - 1/30*u**6 + 1/42*u**7. What is y in k(y) = 0?
-1, 1
Let n(q) be the third derivative of 0 + 0*q**3 + 0*q**4 + 5*q**2 + 1/60*q**6 + 0*q**5 + 0*q. Solve n(y) = 0.
0
Let x(d) be the third derivative of d**6/24 - d**5/3 - 5*d**4/8 + 15*d**3 + 22*d**2. Find i such that x(i) = 0.
-2, 3
Suppose -4*x = -4*d - 8, -5*d - 6*x + 10 = -x. Suppose -4*h + 20 = d, 4*b + 0*h - 17 = -h. Let -z**b + 0 - 1/2*z**4 + 0*z - 1/2*z**2 = 0. What is z?
-1, 0
Let y(l) be the second derivative of -l**5/10 + l**4/3 - l**3/3 - 4*l. Factor y(a).
-2*a*(a - 1)**2
Suppose 6 = s + 4*v, 2*v - 5 + 1 = -s. Factor -2*y**2 + 4*y**2 - 2*y + 4 - y**2 - s*y.
(y - 2)**2
Solve 3*d**4 - 24/7 - 159/7*d**2 - 36/7*d**3 - 18*d = 0.
-1, -2/7, 4
Let g(k) = -4*k**4 - 16*k**3 - 28*k**2 - 20*k + 4. Let x(t) = -t**3 - t**2 + t - 1. Let w(u) = -g(u) - 4*x(u). Determine i so that w(i) = 0.
-2, -1, 0
Let f = -429/5 + 86. Let 4/5 + f*y**2 + 4/5*y = 0. What is y?
-2
Let g(t) be the second derivative of t**4/12 + 7*t**3/6 + 3*t**2/2 + 2*t. Let b be g(-7). Solve -1/4*h**b - 1/2*h**2 + 0 - 1/4*h = 0 for h.
-1, 0
Let n(a) = a**3 - 1. Let m(k) = -3*k**3 + 21*k**2 + 42*k + 30. Let g(u) = -m(u) - 6*n(u). What is h in g(h) = 0?
-4, -2, -1
Let l(m) be the second derivative of m**5/90 + m**4/54 - 7*m. Factor l(w).
2*w**2*(w + 1)/9
Let g(w) be the third derivative of -w**9/378 - w**8/60 - 2*w**7/105 + 2*w**6/45 - 11*w**3/6 - 2*w**2. Let m(t) be the first derivative of g(t). Factor m(v).
-4*v**2*(v + 2)**2*(2*v - 1)
Let k = -1/46 + 99/322. Let b be 44/56 + 2/(-4). Factor -4/7*l**2 + b*l**4 + 2/7*l - 4/7*l**3 + k*l**5 + 2/7.
2*(l - 1)**2*(l + 1)**3/7
Let m be (5*3/9)/(20/72). Let o(g) be the second derivative of -1/100*g**5 - 1/150*g**m + 1/60*g**4 + 0 + 2*g + 0*g**3 + 0*g**2 + 1/210*g**7. Factor o(z).
z**2*(z - 1)**2*(z + 1)/5
Let u be 7*1 + (-8 - -5). Factor m**u - 17*m**3 + 13*m**3 + 3*m**4.
4*m**3*(m - 1)
Let h(p) be the second derivative of -3*p**5/20 - p**4/2 + 5*p**3/2 + 9*p**2 - 36*p. What is k in h(k) = 0?
-3, -1, 2
Let a(b) be the second derivative of 5*b**7/84 + 5*b**6/12 + 7*b**5/8 + 5*b**4/8 + 58*b. Determine p, given that a(p) = 0.
-3, -1, 0
Suppose 0 = -11*r + 13*r - 12. Let i(v) be the first derivative of -3 - 2/3*v**3 - 6/5*v**5 + 1/3*v**r + 0*v + 0*v**2 + 3/2*v**4. Find h such that i(h) = 0.
0, 1
Let v be 1/7*(-14)/(-48). Let b(s) be the third derivative of v*s**4 + 0*s + 0 + s**2 - 1/60*s**5 + 1/3*s**3. Factor b(i).
-(i - 2)*(i + 1)
Let d(o) be the third derivative of -o**8/84 + 2*o**7/105 + o**6/30 - o**5/15 + 8*o**2. Solve d(y) = 0 for y.
-1, 0, 1
Let u(h) be the first derivative of -1/15*h**3 - 4 + 0*h**2 + 1/5*h. Factor u(y).
-(y - 1)*(y + 1)/5
Let p(d) be the first derivative of d**4/8 + d**3/2 + d**2/2 + 2. Find y, given that p(y) = 0.
-2, -1, 0
Factor -9*n**2 + 3*n**3 - 6*n**3 + 11 + 1.
-3*(n - 1)*(n + 2)**2
Let v(k) be the third derivative of -k**8/336 + 2*k**7/105 - k**6/20 + k**5/15 - k**4/24 + 2*k**2. Determine d so that v(d) = 0.
0, 1
Let z be (12/(-100))/(1/(-5)). Find x, given that z + 3/5*x**2 - 6/5*x = 0.
1
Let f(y) = y**3 - y**2 + 3*y + 3. Suppose -2*r - 1 = -r. Let p(d) = d + 1. Let g(z) = r*f(z) + 3*p(z). Factor g(w).
-w**2*(w - 1)
Suppose -2*i = -3*m - 17, i - 6*i - 2*m - 5 = 0. Let s be -1*(-3 + 0)/i. Determine c, given that -3*c + 5*c**2 + 2*c - 6*c**s - c**4 + 8*c**5 - 3*c**4 = 0.
-1, 0, 1/2
Let k be (-84)/98*(-14)/15. Let 6/5*q - k - 2/5*q**2 = 0. Calculate q.
1, 2
Let j(m) be the second derivative of -m**5/10 + 5*m**4/2 - 25*m**3 + 125*m**2 + 2*m. What is d in j(d) = 0?
5
Suppose 4*q + 5 = 5*q. Let f(r) be the second derivative of -1/36*r**4 - 1/60*r**q + 0 + 0*r**3 + 0*r**2 - 2*r. Let f(o) = 0. Calculate o.
-1, 0
Let -22/17*i**2 - 4/17*i + 0 = 0. Calculate i.
-2/11, 0
Factor r**2 + 0 + 1/5*r**3 + 4/5*r.
r*(r + 1)*(r + 4)/5
Let l(r) = r**3 - 3*r**2 - 4*r + 2. Let h be l(4). Suppose 0 = -h*j + 3 + 3. What is d in -2/3*d**5 + 2/3*d**4 + 0 + 0*d**j + 0*d + 0*d**2 = 0?
0, 1
Let x be (-10)/4*(-52)/10. Suppose -q - x = -4*c, 2*q + 3*q = 3*c + 3. Factor 7/4*f**c + 1/2*f**3 + 0 - 1/4*f**2 + f**5 + 0*f.
f**2*(f + 1)**2*(4*f - 1)/4
Let r(k) be the second derivative of -3*k**6/10 + 21*k**5/20 - 4*k**4/3 + 2*k**3/3 + 4*k. Suppose r(w) = 0. What is w?
0, 2/3, 1
Let q(x) be the second derivative of x**5/110 - 5*x**4/22 + 21*x**3/11 - 49*x**2/11 + 3*x + 14. Solve q(g) = 0.
1, 7
Let s be 2/(-5) - -34*(-2)/(-20). Let n(j) be the third derivative of 0 + 1/240*j**6 - 1/48*j**4 + 0*j**5 + 0*j**s + 0*j - 3*j**2. Factor n(w).
w*(w - 1)*(w + 1)/2
Let i(m) be the third derivative of -3*m**6/320 - m**5/160 + 3*m**4/64 + m**3/16 + 25*m**2. Factor i(c).
-3*(c - 1)*(c + 1)*(3*c + 1)/8
Let f(b) = b**5 - b**4 - b**3 + 7*b**2 + 6. Let w(q) = 3*q**5 - 3*q**4 - 3*q**3 + 20*q**2 + 17. Let a(o) = -17*f(o) + 6*w(o). What is p in a(p) = 0?
-1, 0, 1
Factor -2/9*y - 4/3*y**2 + 0.
-2*y*(6*y + 1)/9
Let h be -2*(-2)/(-12)*-9. Factor 3 - 6*k - 3*k**4 + 0*k**4 + 4*k**3 + 2*k**h.
-3*(k - 1)**3*(k + 1)
Let o(k) be the first derivative of -k**5/20 + k**4/16 + k**3/6 + 3. Suppose o(f) = 0. What is f?
-1, 0, 2
Let s = -79 - -317/4. Determine f, given that f**2 - 5/4*f + 1/2 - s*f**3 = 0.
1, 2
Let t(c) be the second derivative of c**6/1080 + c**5/120 + c**4/36 - c**3/6 - c. Let i(q) be the second derivative of t(q). Let i(b) = 0. Calculate b.
-2, -1
Let j(o) be the first derivative of 25*o**3/3 - 85*o**2/2 + 30*o + 12. Factor j(z).
5*(z - 3)*(5*z - 2)
Let j(z) be the second derivative of z**6/30 + z**5/5 + z**4/2 + 2*z**3/3 + z**2/2 - 5*z. Factor j(s).
(s + 1)**4
Let q(i) be the first derivative of -i**8/84 - 2*i**7/105 + i**6/15 - 3*i**2/2 + 2. Let s(t) be the second derivative of q(t). Factor s(r).
-4*r**3*(r - 1)*(r + 2)
Let g(o) = 2*o**4 - 2*o**3 + 6*o**2 + 6*o - 4. Let a(i) = -i**4 - i**2 - i + 1. Let b(t) = -t - 7. Let p be b(-6). Let x(y) = p*g(y) - 4*a(y). Factor x(s).
2*s*(s - 1)*(s + 1)**2
Determine j so that -1 + 3 - 3*j + 10*j**3 - 9*j**3 = 0.
-2, 1
Let j(a) be the first derivative of a**3/12 - a**2/8 - a/2 + 5. Factor j(u).
(u - 2)*(u + 1)/4
Determine p, given that 0*p**2 - 2/9*p + 2/9*p**3 + 0 = 0.
-1, 0, 1
Determine b, given that 3*b**4 + 3*b**2 + b**4 - 5*b**4 - 2*b = 0.
-2, 0, 1
Factor 26/3*w - 2/3*w**3 - 14/3 - 10/3*w**2.
-2*(w - 1)**2*(w + 7)/3
Let v = -14 - -21. Let m = -4 + v. Suppose 0*c**2 + 2*c**2 - c**3 - c + 0*c**m = 0. Calculate c.
0, 1
Let f(j) be the second derivative of -j**6/15 - 3*j**5/20 + 2*j**4/3 - j**3/2 + 5*j. Determine m, given that f(m) = 0.
-3, 0, 1/2, 1
Suppose 6*x = v + x - 5, 0 = x. Suppose 2*r - 2*m + 6 = 7*r, r - 12 = v*m. Factor h**r + 5*h**2 - h - 7*h**2.
-h*(h + 1)
Let u = 39 + -16. Suppose x + 3*m = -8, x - 5*m - 1 = u. Factor 10*t + x - t**3 - 16*t + 3*t**3.
2*(t - 1)**2*(t + 2)
Let p = -808 + 4054/5. Determine t so that 4/5 + p*t**2 - 18/5*t = 0.
2/7, 1
Let s(b) = 4*b**4 - 2*b**3 - 7*b**2 + 8*b - 3. Let v(o) = -3*o**4 + 2*o**3 + 6*o**2 - 8*o + 2. Let x(z) = 4*s(z) + 6*v(z). Factor x(c).
-2*c*(c - 2)**2*(c + 2)
Let f be 2 + -6*((-44)/16 + 3). Find p, given that 1/4*p**4 - f*p**2 + 1/4*p**5 - 1/2*p**3 + 1/4 + 1/4*p = 0.
-1, 1
Let k(j) be the second derivative of 5*j**7/42 + j**6/3 - j**5/2 - 5*j**4/3 + 5*j**3/6 + 5*j**2 - 8*j. Suppose k(o) = 0. What is o?
-2, -1, 1
Let p(c) be the second derivative of -1/10*c**5 - 1/3*c**4 - 1/3*c**3 + 0*c**2 + 0 - 6*c. Factor p(x).
-2*x*(x + 1)**2
Let l = -4 + 8. Let t = 7 - l. Let 2/9*j**t + 0 + 0*j + 2/9*j**