.
(h + 1)**3/5
Suppose -2/9*a**4 - 2/9*a - 2/3*a**3 + 0 - 2/3*a**2 = 0. Calculate a.
-1, 0
Factor -4/5 + 33/5*z**4 + 7/5*z**5 + 53/5*z**3 + 0*z + 31/5*z**2.
(z + 1)**3*(z + 2)*(7*z - 2)/5
Let d(o) be the third derivative of -o**10/12960 + o**9/22680 - o**4/12 + o**2. Let v(p) be the second derivative of d(p). Factor v(u).
-u**4*(7*u - 2)/3
Let z = 83/5190 - -3/173. Let s(b) be the second derivative of 1/20*b**5 + 0 - z*b**6 + 0*b**4 + 0*b**3 + 3*b + 0*b**2. Factor s(r).
-r**3*(r - 1)
Let s(k) be the third derivative of -k**5/12 + 5*k**4/24 + 5*k**3/3 - 12*k**2. Determine u so that s(u) = 0.
-1, 2
Suppose -6*h + 2*h - 4*z = -32, 0 = -5*h + 4*z + 4. Solve 3*x**5 - 6*x**3 + 5*x + 6 - 12*x**2 + 6*x**h - 5*x + 3*x = 0 for x.
-2, -1, 1
Let d be (-2)/7 + 18/14. Let o be (-14)/(-72) - d/(-4). Factor -2/9*h - o*h**2 + 0 - 2/9*h**3.
-2*h*(h + 1)**2/9
Let i(d) be the first derivative of -2*d**3/9 + d**2/3 + 5. Find v, given that i(v) = 0.
0, 1
Factor 28*i**3 - 2*i - 2*i + 91*i**4 - 107*i**4 - 8*i**2.
-4*i*(i - 1)**2*(4*i + 1)
Factor 2/13*t + 0 + 0*t**4 + 0*t**2 - 4/13*t**3 + 2/13*t**5.
2*t*(t - 1)**2*(t + 1)**2/13
Let u(t) be the second derivative of -t**10/120960 + t**9/60480 + t**8/26880 - t**7/10080 - t**4/4 - t. Let v(h) be the third derivative of u(h). Factor v(g).
-g**2*(g - 1)**2*(g + 1)/4
Let o(b) be the first derivative of -b**4/14 - 2*b**3/21 + 1. Find x, given that o(x) = 0.
-1, 0
Let k(d) be the second derivative of d**4/24 - 2*d**3/3 + 4*d**2 + 6*d. Factor k(j).
(j - 4)**2/2
Let n(x) be the second derivative of -x**5/100 + 11*x**4/60 - 19*x**3/30 + 9*x**2/10 - 5*x. Solve n(o) = 0 for o.
1, 9
Let b = -3 + 4. Let g(v) = -v**2. Let o(w) = 0*w - 2*w**2 + 0*w**3 + w**3 - 1 + 0*w**3 - w. Let d(y) = b*o(y) - 3*g(y). What is n in d(n) = 0?
-1, 1
Let u(p) be the second derivative of 3/5*p**5 + 3/4*p**4 + 0*p**2 + 1/6*p**6 + 1/3*p**3 - 6*p + 0. Factor u(z).
z*(z + 1)**2*(5*z + 2)
Let w(a) be the first derivative of -a**3/21 - a**2/7 - a/7 - 14. Find f, given that w(f) = 0.
-1
Let p be (-2 + 2)/(1 + 0 + -4). Let n be 2/12*3 - 0. What is m in p - 2*m**4 + 0*m + 5/2*m**3 - n*m**2 = 0?
0, 1/4, 1
Let i(n) = n**3 - n**2 + n + 1. Let c(w) = 12*w**3 - 6*w**2 + 15*w + 15. Let v(o) = c(o) - 15*i(o). Solve v(u) = 0.
0, 3
Let v be (-2)/5 + 51/15. What is i in -v*i**3 + 37 - 37 + 3*i = 0?
-1, 0, 1
Let p = 4529720/133 + -68115/2. Let b = p + 1/38. Factor 0*l**3 - 2/7*l + b*l**4 + 0 + 2/7*l**5 - 4/7*l**2.
2*l*(l - 1)*(l + 1)**3/7
Let w(p) be the second derivative of -1/30*p**4 + 0 - 7*p + 4/15*p**3 - 3/5*p**2. Factor w(k).
-2*(k - 3)*(k - 1)/5
Let r(y) be the third derivative of y**7/252 + y**6/360 - y**5/72 - y**4/72 + 4*y**2. Find g, given that r(g) = 0.
-1, -2/5, 0, 1
Suppose -2*q + 23 = -1. Let b = q + -10. Determine k so that 12 + 39*k**b + k + 18*k**3 + 3*k**4 + 9*k + 26*k = 0.
-2, -1
Suppose 4/3*q - 1/3 - 4/3*q**2 = 0. What is q?
1/2
Let r(d) = d**2 - 3*d + 1. Let o = 0 - -4. Let m be r(o). Determine h, given that -3*h**m - h**5 + 6*h**5 = 0.
0
Let s(q) = q + 14. Let h be s(-12). Factor h*f**2 - 3*f**2 + 4*f**2 - f**2.
2*f**2
Suppose 5*u - 5 = 0, 4*q + 3 = -5*u - 20. Let j = q - -7. Find s, given that 0 + 2/7*s**5 + 0*s**2 + 0*s + j*s**3 + 0*s**4 = 0.
0
Let u(q) = -q + 11. Let f be u(8). Let t = f - 1. Solve n**t - 1 - 6*n**2 + 4*n + 2*n**2 = 0.
1/3, 1
Let r(x) be the first derivative of -x**4/30 - 2*x**3/45 - 26. Factor r(p).
-2*p**2*(p + 1)/15
Let z(i) be the first derivative of -121*i**4/16 - 11*i**3/12 + 12*i**2 + 9*i + 9. Factor z(b).
-(b - 1)*(11*b + 6)**2/4
Let v = 84/205 - 2/205. Find d such that 0*d**4 + v*d**5 + 0*d**2 + 2/5*d + 0 - 4/5*d**3 = 0.
-1, 0, 1
Let p = 1229/7 + -175. Factor 2/7 - p*c**3 + 2/7*c**4 + 2/7*c**5 + 2/7*c - 4/7*c**2.
2*(c - 1)**2*(c + 1)**3/7
Let p(h) be the first derivative of -1/3*h**2 + 0*h - 2/9*h**3 - 4. Find l, given that p(l) = 0.
-1, 0
Suppose 0*a + 12 = 2*a - 4*d, 6 = -a - 4*d. Factor 5*i**3 - 6*i**3 - 2*i**4 + a*i**5 - 3*i**5.
-i**3*(i + 1)**2
Let q(y) be the third derivative of -y**8/3360 + y**6/720 + 2*y**3/3 - y**2. Let t(g) be the first derivative of q(g). Solve t(v) = 0.
-1, 0, 1
Find u, given that 8/5*u + 4/5*u**3 + 2*u**4 - 6*u**2 + 8/5 = 0.
-2, -2/5, 1
Let y be ((-4)/7)/((-8)/28). Suppose -2 + 2 + 0*c**2 - 2*c**2 - y*c**3 = 0. What is c?
-1, 0
Let k = 10 + -10. Let r(l) be the first derivative of -1/8*l**4 - 2 + k*l + 0*l**5 + 0*l**3 + 1/12*l**6 + 0*l**2. Let r(o) = 0. What is o?
-1, 0, 1
Let a = -5690/21 - -271. Let m(q) be the second derivative of -1/70*q**5 + 0 + 0*q**2 - a*q**4 + 3*q + 0*q**3. What is h in m(h) = 0?
-2, 0
Suppose 4*p + 127 = -3*u, 4*u = u + 2*p - 139. Let l be (10/u)/(2/(-12)). Factor l - 2/3*s**2 + 2/3*s.
-2*(s - 2)*(s + 1)/3
Let t(u) = -u + 3. Let o be t(3). Let b(p) be the third derivative of p**2 + 0*p + o*p**3 + 0*p**4 - 1/120*p**5 + 0. Factor b(d).
-d**2/2
Let j(r) be the first derivative of -3 - 1/5*r**5 - 2*r - 1/4*r**4 + r**3 + 1/2*r**2. Determine w so that j(w) = 0.
-2, -1, 1
Let w(u) be the first derivative of u**4/14 + 2. Factor w(t).
2*t**3/7
Suppose 5*j + 3*b = 25, 2*j + 3*j + 2*b = 20. Let h be (-1 + 3)*2/6. Factor 2/3*r**j + 4/3*r + h.
2*(r + 1)**2/3
What is v in -3*v**4 - 5*v**5 + 18*v**4 - 12*v**3 - v**3 + 5*v**2 - 2*v**3 = 0?
0, 1
What is p in 2/3*p**2 + 98/3 + 28/3*p = 0?
-7
Let d(o) be the second derivative of -1/4*o**4 - 1/2*o**3 + 4*o + 3*o**2 + 0. Factor d(u).
-3*(u - 1)*(u + 2)
Let o(d) = -17*d**3 - 39*d**2 - 96*d - 64. Let h(b) = -4*b**3 - 10*b**2 - 24*b - 16. Let i(x) = 9*h(x) - 2*o(x). Factor i(w).
-2*(w + 2)**3
Let r be 4 + -3 - (-2)/(-2). Let l = 3 - r. Factor 1/4*p**2 + 0*p + 0 + 1/4*p**l.
p**2*(p + 1)/4
Let g(h) be the second derivative of h**4/3 - 8*h**3/5 + 8*h**2/5 - 6*h. Find i such that g(i) = 0.
2/5, 2
Let b = -75/14 + 41/7. Factor b*m**3 - 1/2*m**4 + 1/6*m**5 - 1/6*m**2 + 0*m + 0.
m**2*(m - 1)**3/6
Let u(k) be the first derivative of 4 + 3/5*k**5 + 15/2*k**4 + 36*k**3 + 81*k + 81*k**2. Factor u(a).
3*(a + 1)*(a + 3)**3
Let t(f) = -f**3 - 19*f**2. Let j be t(-19). Let d(r) be the first derivative of -8/3*r**3 + j*r + 2 - r**2 + 1/2*r**4 + 8/5*r**5. Factor d(i).
2*i*(i - 1)*(i + 1)*(4*i + 1)
Let w(y) be the third derivative of -y**8/280 + y**7/105 - y**6/300 - y**5/150 - 4*y**2. Factor w(o).
-2*o**2*(o - 1)**2*(3*o + 1)/5
Suppose 6*z = z - z. Let m(h) be the second derivative of h + z + 1/75*h**6 + 0*h**5 + 0*h**2 - 1/30*h**4 + 0*h**3. Solve m(i) = 0.
-1, 0, 1
Let x(n) be the first derivative of -6 - 49/6*n**4 + 4/3*n - 6*n**2 + 35/3*n**3. Solve x(v) = 0 for v.
2/7, 1/2
Let d(l) be the first derivative of l**4 + 4*l**3/3 - 8*l**2 - 16*l - 24. Factor d(y).
4*(y - 2)*(y + 1)*(y + 2)
Let c(x) be the first derivative of -6*x**5/5 - 7*x**4 - 32*x**3/3 - 2*x**2 + 6*x - 32. Let c(v) = 0. Calculate v.
-3, -1, 1/3
Let r(q) = q. Let z be r(5). Factor -i**4 - 2 + 4*i - z*i**5 - 3*i - 7*i**4 + 4*i**3 + 10*i**2.
-(i - 1)*(i + 1)**3*(5*i - 2)
Suppose 20 = 6*f - f. Let k be 3/(2 + 4)*f. Find m such that k*m + 1/4*m**3 + 1 + 5/4*m**2 = 0.
-2, -1
Let -25*r + 15 + 30*r**3 + 50*r**5 + 44*r**5 - 10*r**2 - 5*r**4 - 99*r**5 = 0. Calculate r.
-3, -1, 1
Let j(s) be the first derivative of 2*s**3/9 - 3*s**2 + 16*s/3 - 10. What is c in j(c) = 0?
1, 8
Let j(q) be the first derivative of q**6/27 + 14*q**5/45 + 5*q**4/6 + 26*q**3/27 + 4*q**2/9 + 4. Factor j(o).
2*o*(o + 1)**3*(o + 4)/9
Let q(g) be the third derivative of -3*g**8/112 + g**7/14 + 4*g**6/15 + g**5/5 + 7*g**2. Factor q(u).
-u**2*(u - 3)*(3*u + 2)**2
Let m(p) be the third derivative of -p**9/15120 + p**7/1260 - p**5/120 - p**4/12 + 3*p**2. Let t(l) be the second derivative of m(l). Factor t(r).
-(r - 1)**2*(r + 1)**2
Factor 3/7*c**2 - 3/7*c**4 + 0*c - 3/7*c**5 + 0 + 3/7*c**3.
-3*c**2*(c - 1)*(c + 1)**2/7
Let a = 19 + -94/5. Let g(h) be the first derivative of 1/5*h - a*h**2 + 1/15*h**3 - 4. Factor g(w).
(w - 1)**2/5
Let d(u) be the third derivative of -u**6/80 + 7*u**5/40 - 26*u**2. Let d(n) = 0. What is n?
0, 7
Let o(u) be the second derivative of -9*u**5/5 - 7*u**4/3 + 40*u**3/3 - 8*u**2 - 3*u + 10. Factor o(h).
-4*(h - 1)*(h + 2)*(9*h - 2)
Let n(r) be the first derivative of -r**6/3 + 4*r**5/5 - r**4/2 - 6. Find y such that n(y) = 0.
0, 1
Suppose -24 = -91*l + 67*l. Solve 1/2*g**2 - l - 1/2*g = 0 for g.
-1, 2
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