. Find u, given that 0*u + w + 2/7*u**2 = 0.
0
Let o be 19/(-57) - (-53)/150. Let w(k) be the second derivative of 0 + 1/15*k**4 + k - o*k**5 + 0*k**2 - 1/15*k**3. Factor w(i).
-2*i*(i - 1)**2/5
Let i(c) be the second derivative of -c**4/3 + 2*c**2 + 11*c. Factor i(s).
-4*(s - 1)*(s + 1)
Let j = 3/4856 + 14713/10926. Let l = -9/8 + j. Solve 4/9*h**3 - 4/9*h + l - 2/9*h**4 + 0*h**2 = 0.
-1, 1
Let w(d) be the first derivative of d**6/150 + d**5/50 - d**3/15 - d**2/10 + d - 3. Let k(g) be the first derivative of w(g). Factor k(m).
(m - 1)*(m + 1)**3/5
Let x(u) be the first derivative of 0*u + 2/9*u**3 - 3 - 1/3*u**2 - 2/15*u**5 + 1/6*u**4. Determine g, given that x(g) = 0.
-1, 0, 1
Suppose 0 = a + 2*a - 9. Let j = 5 - a. Factor 14*z + 2 + 0 + 6*z**2 + j.
2*(z + 2)*(3*z + 1)
Let p(l) be the third derivative of l**5/20 - 13*l**4/40 - 3*l**3/5 - l**2. Determine n, given that p(n) = 0.
-2/5, 3
Suppose 3*f - 7*f + 16 = 0. Let a(m) be the first derivative of 2*m**2 - 2 - 2*m**2 - 4*m**2 - m**3 - f*m. Determine r so that a(r) = 0.
-2, -2/3
Suppose 12/5 - 84/5*m + 147/5*m**2 = 0. What is m?
2/7
Let t(n) = -8*n**2 - 20*n - 20. Let c(b) = 15*b**2 + 40*b + 40. Let l(i) = -3*c(i) - 5*t(i). Find w, given that l(w) = 0.
-2
Let y be ((-6)/(-4))/((-3)/6). Let o(p) = -p + 3. Let b be o(y). Factor b*j**3 + 0*j**3 - j**2 + 4*j**5 - 9*j**4 + 0*j**4.
j**2*(j - 1)**2*(4*j - 1)
Let v be (2 + -1)*(3 - -2). Suppose y - 3*s + 11 = 6*y, v*y = -2*s + 14. Determine c so that 0*c**3 + 2/3*c**y + 0*c - 2/3*c**2 + 0 = 0.
-1, 0, 1
Let l(p) be the second derivative of -1/5*p**5 - p + 0*p**3 + 0 - 1/2*p**4 + p**2. Solve l(b) = 0 for b.
-1, 1/2
Let u be (35 + -31)*(-2)/(-4). Determine s, given that 1/3*s + 1/3*s**u + 0 = 0.
-1, 0
Let h(m) be the second derivative of -m**4/42 - m**3/21 + 2*m**2/7 - 2*m. Factor h(y).
-2*(y - 1)*(y + 2)/7
Factor 4/3 - 2/3*n**2 + 2/3*n.
-2*(n - 2)*(n + 1)/3
Let 298*p**2 - 144*p - 19*p**2 + 48*p - 363*p**3 + 12 + 213*p**4 - 45*p**5 = 0. Calculate p.
1/3, 2/5, 1, 2
Let 12/7*i**2 - 12/7*i**4 - 4/7*i**3 - 4/7*i**5 + 0 + 8/7*i = 0. What is i?
-2, -1, 0, 1
Let x be (-33)/(-6)*2*2. Find i, given that -i**3 + i - 9*i - 8*i - i**2 + x*i**3 - 4 = 0.
-2/3, -2/7, 1
Suppose 5*u - 11 = 4. Factor -5*l**3 - 9*l**2 + l - 4*l + 10*l**3 + 7*l**u.
3*l*(l - 1)*(4*l + 1)
Let q be (-130)/(-35) + 4/14. Suppose q*k - 3*a + 12 = 0, -2*k - 3*k + 16 = 4*a. Let 1/4*v - 1/4*v**3 + 0 + k*v**2 = 0. Calculate v.
-1, 0, 1
Let b(v) be the first derivative of -3*v - 1/6*v**4 + 0*v**2 - 1/10*v**5 - 2 - 1/9*v**3 - 1/45*v**6. Let r(c) be the first derivative of b(c). Factor r(o).
-2*o*(o + 1)**3/3
Factor 3/5 - 1/5*c - 3/5*c**2 + 1/5*c**3.
(c - 3)*(c - 1)*(c + 1)/5
Let r(m) be the first derivative of -m**6/135 - m**5/45 + m + 2. Let t(y) be the first derivative of r(y). Determine k, given that t(k) = 0.
-2, 0
Let q(f) be the second derivative of f**8/5040 - f**6/1080 - 3*f**3/2 - 7*f. Let v(u) be the second derivative of q(u). Determine n so that v(n) = 0.
-1, 0, 1
Let d(h) be the third derivative of h**5/90 - h**4/18 - 11*h**2. Let d(v) = 0. What is v?
0, 2
Solve 0 - 3/5*g**2 - 3/5*g = 0.
-1, 0
Suppose 2*g + 5*s - s + 4 = 0, 4*s = -8. Suppose -20 = k - g*k - 4*d, 2*k + 10 = 2*d. Factor -1/2*x**2 - 1/2*x + k.
-x*(x + 1)/2
Let k(y) be the second derivative of y**4/42 + y**3/21 - 6*y**2/7 + 25*y. Determine r so that k(r) = 0.
-3, 2
Let w be (-7)/(-4) - 8/(-32). Suppose 3*y + i = -w*i, 5 = -2*y - 3*i. Factor -1/4*b**y + 1/2*b**2 - 1/4 - 1/4*b - 1/4*b**4 + 1/2*b**3.
-(b - 1)**2*(b + 1)**3/4
Let a(b) = b**5 + b**3 + b**2 - b + 1. Let n(z) = 15*z**5 + 6*z**3 + 12*z**2 - 9*z + 12. Let o(t) = -12*a(t) + n(t). Determine j, given that o(j) = 0.
-1, 0, 1
Let h = 207 + -1447/7. Factor h*m**3 + 18/7 - 10/7*m**2 + 6/7*m.
2*(m - 3)**2*(m + 1)/7
Let a(u) be the second derivative of -405*u**7/112 + 387*u**6/80 + 21*u**5/16 - 11*u**4/8 - u**3/2 - u. Find h, given that a(h) = 0.
-2/9, 0, 2/5, 1
Let k(l) be the third derivative of l**8/560 + l**7/350 - 11*l**6/200 + 7*l**5/100 + l**4/4 - 4*l**3/5 + 6*l**2. Solve k(m) = 0 for m.
-4, -1, 1, 2
Let c = -4 + 30/7. Suppose 2/7*p**2 + c + 4/7*p = 0. What is p?
-1
Find f, given that 0 + 0*f + 6/5*f**5 + 2/5*f**3 + 8/5*f**4 + 0*f**2 = 0.
-1, -1/3, 0
Let j(y) be the first derivative of 0*y**3 - 2/5*y**2 + 1/5*y**4 + 2/5*y + 3 - 2/25*y**5. Suppose j(b) = 0. Calculate b.
-1, 1
Suppose 4*c - 33 = -1. Let v be (-3 - -5) + (-12)/c. Factor 0*b + 0 + 1/4*b**3 - v*b**2.
b**2*(b - 2)/4
Let z(v) = v**3 + 4*v**2 + v - 4. Let a be z(-3). Let 8*t - 2*t**2 + 0*t + 0*t**2 - a*t**2 = 0. What is t?
0, 2
Let s(g) be the third derivative of g**8/15120 + g**7/3024 + g**6/2160 - g**5/12 + 3*g**2. Let y(t) be the third derivative of s(t). Solve y(j) = 0.
-1, -1/4
Let y(l) be the first derivative of 5*l**4/24 - l**3/6 - l**2/6 - 2. Suppose y(r) = 0. Calculate r.
-2/5, 0, 1
Let m(o) be the second derivative of o + 0 + 0*o**3 + 0*o**2 + 1/60*o**5 - 1/18*o**4. Solve m(i) = 0.
0, 2
Let i = -11 - -16. Factor -k - i*k**3 - k + 7*k**3.
2*k*(k - 1)*(k + 1)
Let w be -20 - (0 - (3 - 4)). Let v = -19 - w. Factor 0 + 4/9*o + 2/9*o**3 + 2/3*o**v.
2*o*(o + 1)*(o + 2)/9
Let n(z) = -z**2. Let h(o) = -10*o**2 + 5*o. Let j(l) = -h(l) + 5*n(l). Suppose j(k) = 0. What is k?
0, 1
Let v be -9 + 6 + 5 + 1. Factor 2/3*h**2 - 2/3*h**v + 2/3*h + 0 - 2/3*h**4.
-2*h*(h - 1)*(h + 1)**2/3
Let j = -7 - -15. Let r be j/6 - 16/(-24). Suppose -14/5*k**3 + 4/5*k - r*k**2 + 0 = 0. Calculate k.
-1, 0, 2/7
Let k be 72/(-42)*(-7)/2. Let r(z) be the third derivative of 0 - 1/336*z**8 - 1/40*z**k + 0*z**3 - z**2 + 0*z**4 + 1/70*z**7 + 0*z + 1/60*z**5. Factor r(m).
-m**2*(m - 1)**3
Factor 3*n**3 + 20*n**4 - 4*n**2 + 6*n**5 + n**3 + 6*n**5.
4*n**2*(n + 1)**2*(3*n - 1)
Let a(q) be the second derivative of -q**4/12 - q**3 - q. Let d be a(-5). Factor k**4 + 2*k**4 + k**4 + 2*k**3 + 2*k**d.
2*k**3*(k + 1)**2
Let l be 8 + (0 - (9 + -5)). Factor 2*i**l + 4*i**2 - 1/3*i**5 - 4/3*i + 0 - 13/3*i**3.
-i*(i - 2)**2*(i - 1)**2/3
Let w(l) = l**3 + l**2 - l + 1. Suppose -h + 5 = -1. Let j(x) = -3*x**3 - 7*x**2 - 6*x - 6. Let s(z) = h*w(z) + 3*j(z). Let s(n) = 0. What is n?
-2, -1
Find s such that 12/5*s**2 + 21/10*s**4 + 0 - 37/10*s**3 - 2/5*s - 2/5*s**5 = 0.
0, 1/4, 1, 2
Suppose -2*n = 5*b - 3 + 2, 4*b + 4 = 0. Find c such that -c**2 + 2*c - n*c - 2*c = 0.
-3, 0
Let z(v) be the second derivative of -v**5/30 + 19*v**4/6 - 361*v**3/3 + 6859*v**2/3 - 2*v + 26. Factor z(p).
-2*(p - 19)**3/3
Let u(k) be the third derivative of -1/16*k**4 + 0*k + 0 - 5*k**2 + 3/80*k**5 + 0*k**3. Factor u(r).
3*r*(3*r - 2)/4
Let v(s) be the third derivative of s**6/660 - s**4/33 + 3*s**2. Solve v(j) = 0.
-2, 0, 2
Let d(h) = 5*h - 4*h - 2*h**2 + 0*h**2 + h**2. Let j(i) = i**2 - 3*i. Let v(z) = 2*d(z) + j(z). Find t such that v(t) = 0.
-1, 0
Let h(u) = -5*u**4 + 3*u**3 + u**2 - 9*u + 7. Let d(g) = -11*g**4 + 5*g**3 + 3*g**2 - 19*g + 15. Let r(o) = -6*d(o) + 14*h(o). Let r(c) = 0. Calculate c.
-1, 1, 2
Let q(b) be the second derivative of b**6/480 - b**5/40 + b**4/8 - b**3/3 + 3*b**2 - b. Let y(m) be the first derivative of q(m). Determine r so that y(r) = 0.
2
Let q(u) be the first derivative of 6*u**2 + 1 + 0*u**3 - u**3 + u - 13*u. Factor q(b).
-3*(b - 2)**2
Suppose -4*v - 5*q + 36 = -0*v, 27 = 3*v - 2*q. Factor -27*w + v*w**2 + 32 + 5 - 10 - w**3.
-(w - 3)**3
Let b(v) be the third derivative of -3/16*v**4 + 1/4*v**3 - 1/80*v**6 + 0 + 3/40*v**5 - 3*v**2 + 0*v. Solve b(m) = 0 for m.
1
Let r = -238/15 - -50/3. Let c(b) be the first derivative of -1 - 1/8*b**4 - 5/12*b**6 + 0*b**2 + 0*b - 1/3*b**3 + r*b**5. Factor c(d).
-d**2*(d - 1)**2*(5*d + 2)/2
Let o(w) be the first derivative of 27/4*w**4 + 3*w**5 + 3*w**2 - 6 + 0*w + 1/2*w**6 + 7*w**3. Solve o(c) = 0.
-2, -1, 0
Let m = 3 - -2. Suppose m = j + 4*j + l, -l = -j - 5. Suppose j + 1/4*a + 1/4*a**3 - 1/2*a**2 = 0. Calculate a.
0, 1
Let s(q) be the first derivative of q**6/45 - 4*q**5/75 + 4*q**3/45 - q**2/15 + 3. Suppose s(b) = 0. What is b?
-1, 0, 1
Suppose 1 = 5*z - 9. Let c be z*1/6*2. What is y in -1/3 + y - c*y**2 = 0?
1/2, 1
Let a(g) = -25*g**2 - 113*g - 271. Let b(p) = 3*p**2 + 14*p + 34. Let c(u) = 6*a(u) + 51*b(u). Factor c(v).
3*(v + 6)**2
Suppose -28 = -y + 5*o, 3*y - 3*o = -0*y + 24. Let q be 1/y*-4 + 2. Fac