Determine h, given that 24/5*h**2 + 3*h**5 + 2/5 - 13/5*h - 26/5*h**4 - u*h**3 = 0.
-1, 1/3, 2/5, 1
Let j be (-4)/(-2 - 3/(-3)). Factor -13*a**2 + 3*a**2 + 2*a**j - 4*a**4 - 4*a - 8*a**3.
-2*a*(a + 1)**2*(a + 2)
Let s = 18 + -14. Let y(h) be the first derivative of 0*h + 2/21*h**3 + 4/35*h**5 - 3/14*h**s + 2 + 0*h**2. Solve y(w) = 0 for w.
0, 1/2, 1
What is b in 7/4*b + 3/4*b**5 + 1/2*b**4 + 0*b**2 - 1/2 - 5/2*b**3 = 0?
-2, -1, 1/3, 1
Let v(f) be the third derivative of -f**5/60 - 3*f**2. Let h(i) = -i**3 - 9*i**2 - 5*i - 2. Let o(a) = -h(a) + 5*v(a). Factor o(m).
(m + 1)**2*(m + 2)
Let j(t) be the first derivative of t**6/75 - 14*t**5/125 + 9*t**4/25 - 44*t**3/75 + 13*t**2/25 - 6*t/25 + 17. Determine f so that j(f) = 0.
1, 3
Find x such that -2/5*x**4 + 2/5*x**5 + 0 - 6/5*x**2 + 0*x - 2*x**3 = 0.
-1, 0, 3
Let r be 5 - (0 + 3 + -2). Factor -2*q**r - 3*q**3 - q**4 + 16*q**5 - 17*q**5 - q**2.
-q**2*(q + 1)**3
Suppose 4*q + 3*q = 3*q. Factor q*y**2 + 0 - 2/9*y**3 + 0*y.
-2*y**3/9
Suppose 3*j + 4*i = -6, i - 14 = -4*j + 3*i. Let w = 427/3 - 141. Suppose -4/3*o + w + 1/3*o**j = 0. Calculate o.
2
Let d(k) = 3*k**4 - k**3 - 3*k**2 - k + 2. Let g(s) = s**4 - s**3. Let m(j) = -d(j) + 2*g(j). Factor m(r).
-(r - 1)**2*(r + 1)*(r + 2)
Factor 5/7*j + 0 + 1/7*j**2.
j*(j + 5)/7
Let j(i) be the first derivative of 3 + 3/4*i**6 + 0*i**3 - 3/4*i**4 + 0*i**2 + 0*i - 3/10*i**5. Suppose j(y) = 0. What is y?
-2/3, 0, 1
Suppose 3 - 12 = -n + 2*y, 16 = 4*n - 3*y. Let t be 1*(-21)/27 + n. What is v in 0 - 4/9*v**2 + t*v**3 + 0*v = 0?
0, 2
Let d(x) be the second derivative of -x**6/75 + x**5/10 - 7*x**4/30 + x**3/5 + 3*x - 11. Find z such that d(z) = 0.
0, 1, 3
Factor 1/5*q**3 - 2/5 + 0*q**2 - 3/5*q.
(q - 2)*(q + 1)**2/5
Let v(o) be the second derivative of o**6/225 - o**5/150 - o**4/30 + o**3/9 - 2*o**2/15 + 4*o. What is t in v(t) = 0?
-2, 1
Let w = 24 + -22. Factor 2/3*q**w + 2/3*q - 2/3 - 2/3*q**3.
-2*(q - 1)**2*(q + 1)/3
Let y be (-6)/(-8) - 3*1/6. Factor 1/2*m + 3/4 - y*m**2.
-(m - 3)*(m + 1)/4
Suppose -4*b - 5 + 1 = 0. Let l be (-3)/(-3) - (-2 - b). Factor 0 - 2/9*z**3 + 2/9*z**5 - 2/9*z**4 + 2/9*z**l + 0*z.
2*z**2*(z - 1)**2*(z + 1)/9
Let m(n) be the first derivative of -n**5/25 + n**3/5 - n**2/5 + 8. Factor m(p).
-p*(p - 1)**2*(p + 2)/5
Let j(s) be the second derivative of 3*s + 0*s**5 + 0*s**4 + 0 + 0*s**2 + 0*s**3 - 1/21*s**7 - 1/15*s**6. Factor j(g).
-2*g**4*(g + 1)
Let v = -8 + 7. Let y be v/(-2)*-2 - -3. Factor -2/7*d - 6/7*d**3 + 10/7*d**y - 2/7.
-2*(d - 1)**2*(3*d + 1)/7
Suppose -4*c + 0*c = 0. Factor -3 + 4 - 5 + 4*t**2 + c*t**2.
4*(t - 1)*(t + 1)
Let r(j) be the third derivative of 1/60*j**5 - 1/8*j**4 - 3*j**2 + 0*j + 0 + 1/3*j**3. Factor r(k).
(k - 2)*(k - 1)
Let f = -7 - -11. Suppose -3*r + f*r = 3. Find o such that 2*o**r - 4*o**2 - o + 0*o**2 + 3*o**2 = 0.
-1/2, 0, 1
Let n be -1*(1 + -8 + 2). Let o(j) be the second derivative of 1/60*j**n - j + 1/6*j**3 + 0 - 1/12*j**4 - 1/6*j**2. Solve o(i) = 0 for i.
1
Let j(x) be the first derivative of -3/5*x**5 + 0*x**4 + x**3 + 0*x**2 - 4 + 0*x. Factor j(p).
-3*p**2*(p - 1)*(p + 1)
Factor 121*j + 1/3*j**3 - 1331/3 - 11*j**2.
(j - 11)**3/3
Find v, given that 2/9*v**3 + 0 - 8/9*v + 2/3*v**2 = 0.
-4, 0, 1
Let a(p) = p**2 - 5*p - 4. Let t be a(6). Factor 0 + 0*x**t + 2/7*x**3 - 2/7*x.
2*x*(x - 1)*(x + 1)/7
Let v(i) be the first derivative of i**5/120 - i**4/24 + 3*i**2/2 + 3. Let s(q) be the second derivative of v(q). What is b in s(b) = 0?
0, 2
Let d(s) be the second derivative of -s**6/180 - s**5/120 + s**4/24 + s**3/36 - s**2/6 + 7*s. Solve d(x) = 0 for x.
-2, -1, 1
Let q(l) be the third derivative of -l**10/75600 - l**9/15120 + l**7/1260 + l**6/360 + l**5/60 - l**2. Let r(k) be the third derivative of q(k). Factor r(t).
-2*(t - 1)*(t + 1)**3
Let m(z) be the third derivative of z**5/330 + z**4/132 - 2*z**3/33 + 11*z**2. Factor m(w).
2*(w - 1)*(w + 2)/11
Suppose 3*d - 2 = 4. Suppose 3*u + u + 14 = -d*f, f + 22 = -5*u. Factor f*l - l + 2*l - 2*l**2 - 2*l.
-2*l*(l - 1)
Let g = -16 + 16. Let f(z) be the third derivative of 1/84*z**4 + 2*z**2 + 0*z + g*z**3 + 0 + 1/210*z**5. Let f(w) = 0. Calculate w.
-1, 0
Let c be 82/10 + 2/(-10). Solve -4*j - 4 - 8*j**3 - c*j + 2*j + 22*j**2 = 0 for j.
-1/4, 1, 2
Suppose 10*d + 4 = 4. Factor 2/7*j**2 + d + 0*j.
2*j**2/7
Let z(f) be the second derivative of -2*f + 4/9*f**3 - 10/9*f**4 + 7/9*f**7 - 1/10*f**5 + 0 + 14/9*f**6 + 0*f**2. Factor z(a).
2*a*(a + 1)**2*(7*a - 2)**2/3
Let a be (1/(-1))/((-3)/6). Let v = -39 - -43. Factor 0*q - 1/3*q**a + 0*q**3 + 0 + 1/3*q**v.
q**2*(q - 1)*(q + 1)/3
Suppose 2/15*p**2 + 0 + 0*p + 2/15*p**3 = 0. What is p?
-1, 0
Let w(v) = -4*v**2 + 5*v - 4. Let u(y) = -7*y**2 + 9*y - 7. Let i(t) = -3*u(t) + 5*w(t). Factor i(r).
(r - 1)**2
Let s(p) be the second derivative of -p**5/70 + p**4/42 + 6*p. Factor s(u).
-2*u**2*(u - 1)/7
Let x(k) = -3*k**2 + 4*k - 2. Let t(g) = 8*g**2 - 9*g + 5. Let v(r) = 2*t(r) + 5*x(r). Factor v(h).
h*(h + 2)
Let u = 87674 + -789838/9. Let f = 86 + u. Factor 0*p + 0 - 2/9*p**2 + f*p**3.
2*p**2*(p - 1)/9
Suppose -8 = 5*a - 23. Factor 3*s**3 + a*s**5 - 9*s**2 + 2*s**4 - 6*s + 10*s**4 - 3*s**4.
3*s*(s - 1)*(s + 1)**2*(s + 2)
Let n be 40/(-18)*6/(-4). Suppose 2*u - 1 = 3. Find f such that -16/3*f - n*f**u + 8/3 = 0.
-2, 2/5
Factor 2/5*j**3 - 2*j**2 + 4/5*j + 16/5.
2*(j - 4)*(j - 2)*(j + 1)/5
Let x(p) = -p**3 - p**2 + 3*p + 3. Let s be x(-3). Let j be s/(-18) + (-26)/(-30). Factor -j*l**2 + 1/5 + 0*l.
-(l - 1)*(l + 1)/5
Determine i, given that 2/9*i**3 - 2/3*i**2 + 2/3 - 2/9*i = 0.
-1, 1, 3
Let o(j) be the third derivative of -4*j**2 + 0 + 0*j**3 + 0*j + 0*j**6 + 0*j**4 + 1/180*j**5 - 1/630*j**7. Factor o(w).
-w**2*(w - 1)*(w + 1)/3
Suppose -3*q - 65 = -2*k - 4*q, 4*k - 5*q - 165 = 0. Let h be 1/2 + k/10. Factor -2*g**3 + 2*g - h + 0 - 2*g**2 + 6.
-2*(g - 1)*(g + 1)**2
Let j(f) = -f**2 - 8*f + 4. Let t be j(-8). Let -2*b**t + b**4 - 2*b**2 - 2*b**2 + 5*b**2 = 0. Calculate b.
-1, 0, 1
Suppose -2*w + 4*w = 6. Find f, given that 3*f**2 - 15*f**3 + 9*f**3 + 3*f**w = 0.
0, 1
Let p be (-4)/3 - 18/(-12). Let z(r) be the third derivative of -1/60*r**5 - 2*r**2 + 1/24*r**4 - 1/120*r**6 + 0 + p*r**3 + 0*r. Let z(i) = 0. Calculate i.
-1, 1
Let v = -7 - -10. Factor 2*g**v - 1 + 3*g**2 + 4*g**3 + 1 + 3*g**4.
3*g**2*(g + 1)**2
Factor -3*w - 7*w**2 - w + 3*w**2.
-4*w*(w + 1)
Suppose 0*f - 3*f = -2*o + 20, f = -2*o + 4. Let q(l) = -l - 3. Let i be q(-6). Factor -3*c**2 + o*c**2 - i*c**2.
-2*c**2
Let j(r) be the second derivative of -r**6/135 - r**5/90 - 15*r. Factor j(b).
-2*b**3*(b + 1)/9
Suppose 11 = 5*s - 9. Suppose p = 2*m + 4, 0 = 2*m - 0*m + 4. Factor 0*y**2 + y**s + p*y**2 + y**3.
y**3*(y + 1)
Suppose -2*y - 5*u + 33 = 0, 3*u = 4*y - 2*u + 9. Factor 7*g**2 - y*g**5 + 6*g**2 + 12*g**4 - g**2 - 3*g + g**5 - 18*g**3.
-3*g*(g - 1)**4
Let i be 4 - ((1 - -6) + 6/(-2)). Factor 2/9*a**2 - 2/9 + i*a.
2*(a - 1)*(a + 1)/9
Let o(u) be the first derivative of -u**3/6 - u**2/2 - u/2 - 5. Factor o(j).
-(j + 1)**2/2
Let v be (-10)/(-8) + (-1 - 0). Let s be ((-4)/14)/(-5 + 414/84). What is u in -1/4*u**s + 0 + 0*u + 0*u**2 - v*u**3 = 0?
-1, 0
Let m(u) be the third derivative of u**6/280 - u**5/140 - 3*u**2. Solve m(k) = 0 for k.
0, 1
Let u(f) = -f**3 + 8*f**2 + 3. Let v be u(8). Factor 37*s**2 - 34*s**2 + v*s + 2 - 8.
3*(s - 1)*(s + 2)
Let j(m) = 3*m**3 + 7*m**2 - 7*m + 5. Let n(c) = 2*c**3 + 6*c**2 - 6*c + 4. Let v(u) = -3*j(u) + 4*n(u). Factor v(d).
-(d - 1)**3
Let y(g) be the first derivative of -g**3/7 - 3*g**2 - 21*g + 20. Factor y(r).
-3*(r + 7)**2/7
Let w(l) = -l**3 + 10*l**2 - l + 13. Let o be w(10). Let s = o - -1. Find j, given that -3/4*j**2 + 3/4*j**3 - 3/4*j + 0 + 3/4*j**s = 0.
-1, 0, 1
Let k(h) be the second derivative of -h**5/70 + h**4/42 + 9*h. Suppose k(u) = 0. Calculate u.
0, 1
Factor -9 - 3*p**2 + 12*p + 8 - 11.
-3*(p - 2)**2
Factor 9*g**4 - 7*g**4 - 146*g**2 - 6*g + 6*g**3 + 144*g**2.
2*g*(g - 1)*(g + 1)*(g + 3)
Let t be -1 - (0 - 2 - -1). Suppose 0 = -t*p - 4*p + 16. Suppose 4*l**4 - 4*l**2 + 0 + 2 - 2*l**p = 0. What is l?
-1, 1
Let w(b) be the second derivative of 0*b**2 - 2/5*b**6 - 3/20*b**5 + 0*b**4 - 3/14*b**7 + 0 + 2*b + 0*b**3. What is h in w(h) = 0?
-1, -1/3, 0
Let k(p) be the third derivative of p**6/80 + 47*p**5/240 - 61