*6/6 + y**5/2 - 5*y**3/3 + 5*y**2/2 + 21*y. Find w such that z(w) = 0.
-1, 1
Solve 2*j**2 - 7*j - 4*j**2 - 5*j - 2*j**2 = 0.
-3, 0
Factor 4/5*b + 0 + 12/5*b**3 + 16/5*b**2.
4*b*(b + 1)*(3*b + 1)/5
Let u(x) = -x**3 - 3*x**2 + 4*x. Let k(p) = p**3 + 3*p**2 - 5*p + 1. Let b(v) = 3*k(v) + 4*u(v). Find d such that b(d) = 0.
-3, -1, 1
Let b = -134 + 137. Determine o, given that -56/5*o + 138/5*o**2 - 144/5*o**b + 54/5*o**4 + 8/5 = 0.
1/3, 2/3, 1
Let x(c) be the first derivative of c**6/120 - c**5/60 - c**4/12 - 9*c**2/2 - 1. Let f(m) be the second derivative of x(m). Factor f(u).
u*(u - 2)*(u + 1)
Suppose 2*z - 4*z = -4*p + 16, -z = -3*p + 12. Let x = 1558/1173 + 2/391. Let 2/3*b**3 + 2/3*b**p - x - 10/3*b - 2*b**2 = 0. What is b?
-1, 2
Let w(s) be the second derivative of 0 + 1/90*s**5 + 1/9*s**4 + s**2 + 4/9*s**3 + s. Let l(g) be the first derivative of w(g). Factor l(v).
2*(v + 2)**2/3
Let g = 136 - 134. Let a(s) be the second derivative of 1/36*s**4 + 0 + 3*s - 1/9*s**3 + 0*s**g. Factor a(m).
m*(m - 2)/3
Let g(p) = p**3 - p**2 - p. Let n(h) = 8*h**2 + 4*h. Let u(o) = 4*g(o) + n(o). Let u(x) = 0. What is x?
-1, 0
Let k(s) be the second derivative of -s**4/12 - 2*s**3/3 - s**2/2 - s. Let z be k(-3). Suppose -6*t**3 + 2*t**4 - 1 + 6*t**z - 2*t + 1 = 0. Calculate t.
0, 1
Let j = 29 - 13. Let q be 2*(-4)/(j/(-6)). Factor 5*c**q + 0*c**3 + 14*c**5 + 18*c**4 - c**3.
2*c**3*(c + 1)*(7*c + 2)
Suppose -12 = -4*z - 4. Determine q, given that 5*q**z - 7*q**2 + 2*q - q**3 + 2 - q**3 = 0.
-1, 1
Let g(n) be the first derivative of -n**8/2240 + n**6/480 + 5*n**3/3 + 3. Let m(b) be the third derivative of g(b). Factor m(k).
-3*k**2*(k - 1)*(k + 1)/4
Let u = 27 - -6. Factor -32*d**3 - d**2 + 2*d**2 + u*d**3.
d**2*(d + 1)
Let h(c) be the first derivative of -1/6*c**3 + 1/4*c**2 + 4 + 0*c. Factor h(q).
-q*(q - 1)/2
Let v = 238 - 1188/5. Factor -2/5*m + v*m**3 - 6/5*m**2 + 4/5 + 2/5*m**4.
2*(m - 1)**2*(m + 1)*(m + 2)/5
Let z(x) be the third derivative of -x**9/15120 - x**8/2520 + x**7/1260 + x**6/90 - x**5/12 + 4*x**2. Let l(p) be the third derivative of z(p). Factor l(j).
-4*(j - 1)*(j + 1)*(j + 2)
Let v(l) = -2*l**2 + 2*l + 1. Let u(o) = -o**2 + 2*o + 1. Let w = -9 - -12. Let x(r) = w*u(r) - 2*v(r). Let x(t) = 0. What is t?
-1
Solve 5/2*x**2 + 0 + 5/2*x = 0.
-1, 0
Let w(b) be the second derivative of 0 + 0*b**4 + 1/135*b**6 - 3*b - 1/90*b**5 + 0*b**3 + 0*b**2. Determine q so that w(q) = 0.
0, 1
Suppose 4*u - 4 - 8 = 0. Let l(w) be the third derivative of 0*w**u + 0*w - 1/180*w**5 + 0*w**4 - 2*w**2 + 0. Factor l(k).
-k**2/3
Suppose 3*b = 3*d + 8*b + 19, -d - 13 = 3*b. Find f such that 1/3*f**d + f**3 + 2/3*f**4 + 0 + 0*f = 0.
-1, -1/2, 0
Let v(n) = n**2 - 17*n - 4*n**2 - 17 - 10*n**2 + 2*n**2. Let h(m) = -5*m**2 - 8*m - 8. Let f(a) = 9*h(a) - 4*v(a). Find d, given that f(d) = 0.
-2
Let n be 4/(-6) + 35/(-15). Let r be ((-6)/4)/(n/4). Factor 0*w + 2*w**r + w**3 + 2*w - w.
w*(w + 1)**2
Let y(k) be the second derivative of -2*k + 1/6*k**4 + 0*k**2 + 2/3*k**3 + 0 - 1/10*k**5. Factor y(c).
-2*c*(c - 2)*(c + 1)
Suppose -4*n + 45 = 3*o, -3*n + 18 = 4*o - 14. Suppose -15*j**2 - n*j**3 + 3*j**4 + 17*j**2 + 16*j**2 + 3 + 0*j - 12*j = 0. What is j?
1
Let x(j) be the second derivative of 3*j**5/20 + j**4/4 - j**3 - 21*j. Factor x(l).
3*l*(l - 1)*(l + 2)
Find t, given that -37*t**4 - 15*t**5 - 68*t**3 + t**5 - 38*t**3 + 8 - 29*t**4 - 62*t**2 = 0.
-2, -1, 2/7
Let w(l) = l**3 + l**2 + l + 1. Suppose 0*x = -4*x + 16. Suppose -3*d - x = -1. Let m(v) = -2*v**4 + 2*v**2 + 4*v + 4. Let h(s) = d*m(s) + 4*w(s). Factor h(p).
2*p**2*(p + 1)**2
Let u(d) be the first derivative of d**5/210 - d**4/42 + d**3/21 + 3*d**2/2 + 6. Let a(b) be the second derivative of u(b). Let a(s) = 0. Calculate s.
1
Let m(o) = o**2 + 2*o - 1. Let d(v) = -v**2 - v + 1. Let c(j) = -2*d(j) - m(j). Factor c(x).
(x - 1)*(x + 1)
Let s(j) be the second derivative of -j**4/42 - 2*j**3/21 - j**2/7 - 8*j. Factor s(n).
-2*(n + 1)**2/7
Determine u, given that -34*u + 14*u + 20 + 5*u**3 - 15*u**2 + 20*u = 0.
-1, 2
Let j = -347/2 + 175. Factor 0*m + 3/2*m**2 - j.
3*(m - 1)*(m + 1)/2
Let s(m) be the third derivative of m**6/15 - m**5/10 - m**4/12 - 3*m**2. What is j in s(j) = 0?
-1/4, 0, 1
Let i(a) be the second derivative of -5*a**7/21 + a**6/6 + 3*a**5/4 - 33*a. Find v, given that i(v) = 0.
-1, 0, 3/2
Let g(x) be the second derivative of x**9/30240 + x**8/26880 - x**7/5040 - x**6/2880 + x**4/3 + 6*x. Let z(j) be the third derivative of g(j). Solve z(u) = 0.
-1, -1/2, 0, 1
Let z(y) = -2*y. Let c be (-12)/20 + 2/(-5). Let l be z(c). Factor 3*h**2 + 2*h**4 - 4*h**3 + 2*h**l - 7*h**2 - 4*h**4.
-2*h**2*(h + 1)**2
Let c be 1 - 1 - 4/(-2). Factor 6*q**2 + 4*q - 6 - 3*q**c - q.
3*(q - 1)*(q + 2)
Let w(n) be the third derivative of n**7/525 - n**6/60 + 2*n**5/75 + 8*n**2. Factor w(t).
2*t**2*(t - 4)*(t - 1)/5
Let c(v) be the first derivative of 5*v**4/16 + 23*v**3/12 - 5*v**2/4 + 43. Factor c(b).
b*(b + 5)*(5*b - 2)/4
Let r be 8/(-2) + 6/1. Let n be 60/27 - r/9. Factor 1/2*w - 1/2*w**n + 0.
-w*(w - 1)/2
Let j be 1 + 85/165 + (-4)/22. Solve 2/3*v - 10/3*v**2 + 4/3 + j*v**3 = 0.
-1/2, 1, 2
Let p = -2/161 - -48/161. Factor -4/7*i + p*i**2 + 2/7.
2*(i - 1)**2/7
Let c(t) = 3*t**3 - t**2 - 7*t - 7. Let p(x) = 39 - 21*x**3 + 9 + 8*x**2 - 2*x**2 + 4*x + 44*x. Let u(j) = 27*c(j) + 4*p(j). Suppose u(g) = 0. Calculate g.
-1, 1
Let b(z) be the first derivative of z**5/10 + z**4/2 + 5*z**3/6 + z**2/2 - 16. Factor b(i).
i*(i + 1)**2*(i + 2)/2
Let q be (-1 + 0)/(3/15). Let s be ((-6)/8)/(q/40). Find p such that 8 + 0 - 4*p**3 + 2*p**4 + 8*p - s*p**2 + 0*p = 0.
-1, 2
Suppose 0 = -3*d + 38 - 32. Let u(a) be the second derivative of 0*a**d + 1/6*a**4 - 1/20*a**5 - 1/6*a**3 + 0 + a. Solve u(l) = 0 for l.
0, 1
Let h(q) be the second derivative of 1/15*q**4 - 1/25*q**6 - 1/5*q**3 + 1/5*q**2 - 2*q + 0 + 1/25*q**5 + 1/105*q**7. Find l such that h(l) = 0.
-1, 1
Let w(b) = b**3 - 10*b**2 + 9*b + 4. Suppose 10 - 1 = o. Let d be w(o). Factor 7*j**2 - 3*j - j**2 + 1 - j**3 + j**d - j - 3*j**3.
(j - 1)**4
Suppose 0*p = -3*w - 2*p + 16, -2*p = w - 12. Find z, given that 0*z**2 - z**3 + 0*z**w + z + z**2 - 1 = 0.
-1, 1
Factor -3*y**4 + y**4 + y**5 - y**4 + y**3 + 5*y**4.
y**3*(y + 1)**2
Let o(f) be the second derivative of 0 - 1/12*f**4 - 1/60*f**5 + 1/2*f**2 - 8*f + 1/18*f**3. Solve o(k) = 0.
-3, -1, 1
Let s(z) be the first derivative of -4*z**5/5 + 3*z**4 - 4*z**3/3 - 6*z**2 + 8*z + 4. Factor s(c).
-4*(c - 2)*(c - 1)**2*(c + 1)
Let z(s) be the third derivative of 1/30*s**6 - 4/15*s**5 + 0*s**3 + 0 + 8*s**2 + 0*s + 2/3*s**4. Let z(b) = 0. What is b?
0, 2
Let m(b) be the second derivative of b**6/180 + b**5/45 + b**4/36 - b**2 - 4*b. Let v(s) be the first derivative of m(s). Let v(l) = 0. What is l?
-1, 0
Let g(y) be the first derivative of y**3 + 0*y**2 - 1/120*y**5 + 4 - 1/72*y**4 + 1/270*y**6 + 0*y. Let v(b) be the third derivative of g(b). Factor v(n).
(n - 1)*(4*n + 1)/3
Let o be 5 - 4 - (-17)/(-18). Let m(n) be the first derivative of 4 + 0*n - 2/27*n**3 + o*n**4 + 0*n**2. Factor m(p).
2*p**2*(p - 1)/9
Suppose 2*d + s - 9 = -1, 3*d + 5*s = 12. Solve -4/9*m**3 - 2/9*m**d + 4/9*m + 2/9 + 0*m**2 = 0 for m.
-1, 1
Let z(i) be the first derivative of 1 - 2/9*i**3 + 0*i + 1/6*i**4 + 0*i**2. Let z(h) = 0. What is h?
0, 1
Suppose -5 = -4*s + 15. Suppose 0 = 4*l + 3*x - 3, -5*x + 7 = s*l + 2. Solve 0*d**2 + 0 + l*d + 2/5*d**4 - 2/5*d**3 = 0 for d.
0, 1
Determine y, given that 0*y**3 + 0*y + 1/2*y**4 - 1/2*y**5 + 0 + 0*y**2 = 0.
0, 1
Let g = 0 + -2. Let r be (-2)/(3/(6/g)). Factor 0 + 1/4*u + 1/4*u**r.
u*(u + 1)/4
Let q be 78/65*(-20)/6. Let w(n) = -n**4 + n + 1. Let s(l) = 2*l**5 - 6*l**3 - 10*l**2 - 2*l + 2. Let r(k) = q*w(k) + 2*s(k). Factor r(u).
4*u*(u - 2)*(u + 1)**3
Find a such that -6*a**2 + 4*a + 3*a**2 + 3*a**2 - 4*a**2 = 0.
0, 1
Suppose 0 = -2*q + 3*q - 5*l + 29, l = -3*q - 7. Let g(v) = -v**2 - v. Let x(j) = -j**2 - 4*j - 3. Let k(r) = q*g(r) + x(r). Factor k(w).
3*(w - 1)*(w + 1)
Let l be 14/8 + 1/(-4). Let h = 1277/2 - 638. Let h + o**2 + l*o = 0. Calculate o.
-1, -1/2
Let j(c) be the second derivative of -c**7/168 + c**6/30 - c**5/20 - c**4/24 + 5*c**3/24 - c**2/4 - 17*c. Solve j(p) = 0.
-1, 1, 2
Let c be (-8)/(-42)*69/46. Solve -2/7*z**2 + 2/7*z +