z**5 - j*z**3 - 5/7*z**2. Solve s(w) = 0.
-1/2, 1
Suppose -4*y - 12 = 4*i - 4, -y + 6 = -i. Let 0*z**4 - 5*z**y + 3*z**2 + 3*z**4 + 4*z - 4*z**3 - z**4 = 0. Calculate z.
-1, 0, 1, 2
Let z(n) = n**2 + 10*n - 8. Let u be z(-11). Factor -u*v**2 + 3*v**3 - 2*v + 3*v**4 + 0*v - v.
3*v*(v - 1)*(v + 1)**2
Let b(y) be the third derivative of y**8/168 - y**7/105 - y**6/30 + y**5/15 + y**4/12 - y**3/3 + 18*y**2. Find n, given that b(n) = 0.
-1, 1
Factor -12*t**2 - 4 + 10*t**2 - 4*t + 10*t.
-2*(t - 2)*(t - 1)
Let y(b) be the first derivative of -b**5/10 - b**4/6 + 2*b**3/3 + 4*b - 1. Let f(i) be the first derivative of y(i). What is u in f(u) = 0?
-2, 0, 1
Suppose 0 = -2*r - 2*r. Let g(d) be the first derivative of r*d + 1/2*d**2 - 1/3*d**3 - 3. Let g(m) = 0. What is m?
0, 1
Solve 30 + 5 + 4 + 6 + 5*l**2 - 30*l = 0.
3
Let z(y) be the first derivative of -y**4/22 - 14*y**3/33 - 6*y**2/11 + 30. What is u in z(u) = 0?
-6, -1, 0
Let b = 2 + -3. Let q be (2 - 0 - 2)*b. Let q*j**2 - 2*j**2 - 2*j + 4 + 0*j**2 = 0. What is j?
-2, 1
Let l(y) be the first derivative of -y**5/330 - y**4/44 - 2*y**3/33 + y**2 - 3. Let i(f) be the second derivative of l(f). Determine d, given that i(d) = 0.
-2, -1
Factor 0*m - 2/5*m**2 + 2/5.
-2*(m - 1)*(m + 1)/5
Let p(h) be the first derivative of -h**5/210 + h**4/42 - h**3/21 - 2*h**2 - 3. Let z(w) be the second derivative of p(w). Determine x, given that z(x) = 0.
1
Factor -6*c**4 + c + 34*c**2 - 5*c + 2*c**3 - 28*c**2 + 2*c**3.
-2*c*(c - 1)*(c + 1)*(3*c - 2)
Let z(s) = -5*s**3 + 6*s**2 - 5*s. Let c = 11 + -6. Let r(m) = 3*m**3 - 4*m**2 + 3*m. Let k(v) = c*z(v) + 8*r(v). Let k(f) = 0. What is f?
-1, 0
Let h(i) be the third derivative of -i**5/190 + 5*i**4/228 + 2*i**3/57 + 4*i**2 + 1. Factor h(c).
-2*(c - 2)*(3*c + 1)/19
Let m(w) = w**2 - 24*w - 22. Let y be m(25). Let c(s) be the first derivative of 0*s - 3 + 0*s**y - 1/15*s**6 + 2/25*s**5 + 1/5*s**4 + 0*s**2. Factor c(q).
-2*q**3*(q - 2)*(q + 1)/5
Let d(w) = w**2 + 6*w + 5. Let n(x) = -3*x**2 - 12*x - 9. Let r(j) = 5*d(j) + 2*n(j). Factor r(v).
-(v - 7)*(v + 1)
Let j be (-66)/360 + 1/4. Let q(f) be the first derivative of -j*f**5 + 1/9*f**3 + 0*f + 0*f**2 + 0*f**4 + 2. Factor q(r).
-r**2*(r - 1)*(r + 1)/3
Let k(r) be the first derivative of -4 - 1/14*r**4 + 0*r + 0*r**3 + 1/7*r**2. Factor k(i).
-2*i*(i - 1)*(i + 1)/7
Let v(d) be the first derivative of 7*d**4/6 + 8*d**3/3 + d**2 - 4*d/3 + 11. Suppose v(w) = 0. What is w?
-1, 2/7
Let f(c) be the second derivative of -c**6/105 + c**5/35 + c**4/42 - 2*c**3/21 - 7*c. Suppose f(x) = 0. What is x?
-1, 0, 1, 2
Let o(m) be the third derivative of -3*m**2 + 1/150*m**5 + 2/15*m**3 + 1/20*m**4 + 0 + 0*m. Factor o(l).
2*(l + 1)*(l + 2)/5
Factor -2/13 + 4/13*f**2 - 4/13*f**3 - 2/13*f**4 + 2/13*f + 2/13*f**5.
2*(f - 1)**3*(f + 1)**2/13
Let c(o) be the second derivative of -4*o + 0*o**3 + 1/30*o**4 + 0 + 0*o**2. What is x in c(x) = 0?
0
Suppose 5*s - i = 2*s - 4, 5*s = 4*i - 16. Suppose s*f + 2/5*f**2 + 0 = 0. Calculate f.
0
Suppose -t - 56 = -58. Factor 4/3*z - 2/3*z**t + 0.
-2*z*(z - 2)/3
Let u(v) be the first derivative of -32/25*v**5 - 4/5*v**4 - 1/5*v**2 - 2 + 14/15*v**3 + 0*v. Factor u(o).
-2*o*(o + 1)*(4*o - 1)**2/5
Let q be -1*(12/(-9))/4. Find d such that -1/3*d**3 + 0 + 0*d**2 + q*d = 0.
-1, 0, 1
Let d be (-4)/10 + 2/5. Let j be (-15)/(-20) + (-10)/24. Determine p so that -j*p**2 + 1/3*p**4 + 1/3*p**5 + d - 1/3*p**3 + 0*p = 0.
-1, 0, 1
Let t(h) = 5*h**2 + 51*h + 91. Let q(z) = -z**2 - 10*z - 18. Let s(a) = -22*q(a) - 4*t(a). Factor s(c).
2*(c + 4)**2
Let s(w) = -3*w + 4. Let b(m) = m + 1. Let u(d) = 4*b(d) + s(d). Let j be u(-6). Factor 2 + l - 3 - l**j - 3*l.
-(l + 1)**2
Let d(m) be the third derivative of m**8/2016 + m**7/315 + m**6/144 + m**5/180 + 11*m**2. Determine i, given that d(i) = 0.
-2, -1, 0
Suppose 7/5*l**4 - 3*l**3 - 3*l**2 + 32/5*l + 3/5*l**5 - 12/5 = 0. What is l?
-3, -2, 2/3, 1
Let x(n) be the first derivative of -n**5/5 + n**3/3 - 1. Suppose x(q) = 0. What is q?
-1, 0, 1
Let z(s) = -s**4 + s**3 - 6*s**2 + 4*s - 4. Let f = -39 + 5. Let k(l) = 6*l**4 - 7*l**3 + 36*l**2 - 24*l + 23. Let w(b) = f*z(b) - 6*k(b). Factor w(a).
-2*(a - 1)**4
Let v be 3/2*48/396. Find j, given that 0 - v*j**4 + 0*j**2 - 2/11*j**3 + 0*j = 0.
-1, 0
Factor -54*s + 54 + 3*s**2 - 55*s**3 + 0*s**2 + 15*s**2 + 53*s**3.
-2*(s - 3)**3
Let z(m) be the first derivative of -1/4*m**4 + 8 + 1/3*m**3 - m + 1/2*m**2. Determine w, given that z(w) = 0.
-1, 1
What is p in -1 + 2/3*p**2 + 2*p**3 + 1/3*p**4 - 5/3*p - 1/3*p**5 = 0?
-1, 1, 3
Let y(b) be the first derivative of -b**6/1620 + b**4/108 + 2*b**3/3 + 4. Let h(v) be the third derivative of y(v). Determine w so that h(w) = 0.
-1, 1
Let a be ((-4)/12)/(2/(-24)). Let v be a/(-22) + 928/1232. Factor 0*j - 6/7*j**4 + v*j**2 - 2/7*j**3 + 0.
-2*j**2*(j + 1)*(3*j - 2)/7
Let v be (0 - 1)/((-2)/(-2)). Let u(l) = -l**2 + l + 1. Suppose 25 = 5*n, 4*q + 3*n + 8 = 31. Let m(p) = -2*p + 4. Let b(i) = q*u(i) + v*m(i). Solve b(o) = 0.
1
Let j(l) be the first derivative of l**6/60 - l**5/15 - l**4/12 + 2*l**3/3 + l**2/2 - 1. Let m(z) be the second derivative of j(z). Suppose m(a) = 0. What is a?
-1, 1, 2
Let b be 12*((-4)/56)/(4/(-14)). Factor 0 - 8/7*p**2 - 8/7*p - 2/7*p**b.
-2*p*(p + 2)**2/7
Let r(b) = b**4 - b**2 + b. Let x(m) = 6*m**4 - 42*m**3 + 45*m**2 - 15*m - 3. Let z(c) = -9*r(c) - x(c). Solve z(p) = 0 for p.
-1/5, 1
Suppose 0 = -2*x + 7 - 1. Factor -2*s**2 - s**3 + 0*s**2 - 2*s**x.
-s**2*(3*s + 2)
Suppose 21 = 20*x - 13*x. Factor -x*h + 3 + 3/4*h**2.
3*(h - 2)**2/4
Let z(r) = r**3. Let t(f) = 6*f**3 - 8*f**2 - 10*f - 4. Let h be ((-4)/(-8))/((-2)/(-32)). Let s(v) = h*z(v) - t(v). Find m, given that s(m) = 0.
-2, -1
Let b(a) be the third derivative of -a**9/45360 - a**8/10080 + a**6/1080 + a**5/360 + a**4/8 + 3*a**2. Let h(y) be the second derivative of b(y). Factor h(c).
-(c - 1)*(c + 1)**3/3
Let v(x) = -9*x - 63. Let z be v(-7). Factor -3/2*d + z - 3/2*d**2.
-3*d*(d + 1)/2
Find j such that -3*j**2 + 4*j**2 + 0*j**4 - j**4 = 0.
-1, 0, 1
Let 8/11 - 8/11*n + 2/11*n**2 = 0. What is n?
2
Let n(a) be the third derivative of a**8/3360 + a**7/630 + a**6/360 - a**4/4 + 5*a**2. Let b(r) be the second derivative of n(r). Find m, given that b(m) = 0.
-1, 0
Let m(c) be the first derivative of c**2 + c**4 + 4*c**2 + 8 - 5*c**2. Factor m(i).
4*i**3
Let m(o) be the first derivative of -1/6*o**4 + 2/9*o**3 - 2/15*o**5 + 0*o + 0*o**2 - 1 + 1/9*o**6. Factor m(i).
2*i**2*(i - 1)**2*(i + 1)/3
Let t(y) be the first derivative of 6*y**3 + 6*y**2 + 2*y + 1. Factor t(i).
2*(3*i + 1)**2
Suppose -3*n = 3*s - 3, 2*s + s + 13 = 5*n. Factor -3*b**2 + 4*b**n - 3*b**2.
-2*b**2
Let w(y) be the first derivative of 3*y**4/10 - 10*y**3/3 - 18*y**2/5 + 25. Factor w(x).
2*x*(x - 9)*(3*x + 2)/5
Let p(g) be the third derivative of -g**8/2352 - 2*g**7/735 - g**6/140 - g**5/105 - g**4/168 + 13*g**2. Solve p(i) = 0.
-1, 0
Suppose 5*p = -4*n + 8, 0 = -2*n + n - 4*p + 2. Let h(t) be the first derivative of 1 + 0*t**n + 1/12*t**3 + 0*t. What is a in h(a) = 0?
0
Let l(m) = m - 3. Let q be l(3). Factor -y**2 + 1/2 + q*y + 0*y**3 + 1/2*y**4.
(y - 1)**2*(y + 1)**2/2
Let q(c) be the first derivative of c**4/4 - c**3/2 + 2*c - 4. Let u(d) be the first derivative of q(d). Factor u(l).
3*l*(l - 1)
Suppose -4*g + 2*g + 8 = 0. Let x = 7 - g. Solve -4*c + 6*c - 3*c + c**x = 0 for c.
-1, 0, 1
Factor -4*o**2 - 6*o**4 - 4*o**3 + 2*o**2 + 0*o**4 - 2*o**3 - 2*o**5.
-2*o**2*(o + 1)**3
Suppose 4*u + 0*q = -2*q + 6, -7 = -5*u - 3*q. Factor -1 + c**3 - c**u + 1.
c**2*(c - 1)
Let z be 40/6*(-204)/(-850). Solve -2/5*p**3 - 6/5*p**2 + z + 0*p = 0.
-2, 1
Solve -20*a + 10 - 6*a - 10*a + 11*a + 20*a**2 - 5*a**3 = 0 for a.
1, 2
Suppose 18*m - 17*m + 4*w = 0, 0 = 5*m - 4*w. Let 0*h**4 + 1/5*h**5 + 0*h + 0 + m*h**3 + 0*h**2 = 0. Calculate h.
0
Let h(l) be the third derivative of l**5/360 + l**4/72 + l**3/36 + 8*l**2. Factor h(k).
(k + 1)**2/6
Suppose -3*d - 5*l = 25, -4*d + d - 3*l - 15 = 0. Let i(p) be the first derivative of d*p - 2/9*p**3 - 1 - 1/3*p**2. Factor i(u).
-2*u*(u + 1)/3
Suppose 0 = k - 3 + 4, -3 = -3*w - 3*k. Factor 0*s**3 + s**w - 4*s**3 + 5*s**2 + 4*s - 2*s**2 - 4*s**4.
-4*s*(s - 1)*(s + 1)**2
Let c(p) be the second derivative of -p**4/20 + p**3/30 + 7*p. Factor 