*3 + 2*w - 2*w**2 = 0. Calculate w.
-1, 0
Suppose 0 = 4*s - 5 - 11. Suppose 10*t**3 + 4*t**5 - 2*t**s - 3*t**5 + 2 - 12*t**3 - 7*t + 8*t**2 = 0. Calculate t.
-2, 1
What is d in 0*d - 2/5*d**2 - 2/5*d**4 + 0 - 4/5*d**3 = 0?
-1, 0
Let i(h) be the second derivative of h**7/3780 - h**6/540 + h**4/6 - 3*h. Let n(a) be the third derivative of i(a). Let n(x) = 0. Calculate x.
0, 2
Factor 1/2*g - 1/4*g**4 + 0*g**2 - 1/2*g**3 + 1/4.
-(g - 1)*(g + 1)**3/4
Factor -32/5*z**2 - 4*z**3 - 4/5*z**4 + 0 - 16/5*z.
-4*z*(z + 1)*(z + 2)**2/5
Let h(m) be the second derivative of m**7/12600 + m**6/1800 - m**4/12 - m. Let r(w) be the third derivative of h(w). Factor r(y).
y*(y + 2)/5
What is q in -22/9*q**3 - 8/9*q**5 + 4/9*q**2 + 0*q + 26/9*q**4 + 0 = 0?
0, 1/4, 1, 2
Let f(m) be the third derivative of m**6/180 + m**5/60 - m**4/6 - m**3/6 - 2*m**2. Let i(x) be the first derivative of f(x). Find h such that i(h) = 0.
-2, 1
Let u(i) be the first derivative of i**4/18 - 2*i**3/9 + 2*i**2/9 - 1. Factor u(f).
2*f*(f - 2)*(f - 1)/9
Let j(h) be the third derivative of -1/40*h**6 + 0*h**3 + 0*h**4 + 1/336*h**8 + 0 + 0*h + 1/30*h**5 + 2*h**2 + 0*h**7. Factor j(r).
r**2*(r - 1)**2*(r + 2)
Let a be 11/(88/(-48)) - (-15)/2. Factor 1/4*q**2 + 9/4 - a*q.
(q - 3)**2/4
Let m(w) be the first derivative of -3/20*w**4 - 9/5*w + 8 - w**3 - 21/10*w**2. Find i, given that m(i) = 0.
-3, -1
Let u(j) = 2*j**2 + 5*j + 7. Let c(s) = s**2 + 2*s + 3. Let y(f) = -14*c(f) + 6*u(f). Determine g, given that y(g) = 0.
0, 1
Suppose -12 = -3*n - 6. Factor -9*w**2 + 7*w**n + 4*w**2 + 2*w**3.
2*w**2*(w + 1)
Factor -3/4*k**2 - 3 - 15/4*k.
-3*(k + 1)*(k + 4)/4
Let t = 1416/125 - 16/125. Factor 8/5 + 98/5*w**2 + t*w.
2*(7*w + 2)**2/5
Suppose 0 = -4*g + 3*g + 3. Determine m, given that 0*m**g + 2*m**4 - 4*m**4 - 2*m**3 = 0.
-1, 0
Let y(h) be the first derivative of 1 + 1/42*h**4 + 1/7*h**2 + 2/21*h**3 - h. Let o(u) be the first derivative of y(u). Factor o(k).
2*(k + 1)**2/7
Let y(k) = k**3 - 3*k**2 - 11*k + 5. Let r be y(5). Suppose -5*j + 3*n = n - 9, 4*n = 5*j - 3. Factor 1/2*p**5 - 1/2*p + p**4 + 0*p**j - p**2 + r.
p*(p - 1)*(p + 1)**3/2
Let l(i) be the second derivative of -i**6/210 + i**5/35 - i**4/28 - 2*i**3/21 + 2*i**2/7 - 9*i. Determine h, given that l(h) = 0.
-1, 1, 2
Let g(u) be the first derivative of 5 - u**3 + 15/2*u**2 - 9*u - 3/4*u**4. Find k such that g(k) = 0.
-3, 1
Let o(k) be the first derivative of -3*k**6/2 + 6*k**5/5 + 3*k**4 - 2*k**3 - 3*k**2/2 + 36. Determine c so that o(c) = 0.
-1, -1/3, 0, 1
Let h = 31 + -29. Factor -4/5*q - 2/5 - 2/5*q**h.
-2*(q + 1)**2/5
Let u be (16/3)/(1/(36/56)). Determine c so that -22/7*c**2 - u*c - 8/7*c**3 - 9/7 - 1/7*c**4 = 0.
-3, -1
Find f, given that -24/5*f + 16/5 + 9/5*f**2 - 1/5*f**3 = 0.
1, 4
Let s(a) be the second derivative of a**4/42 - a**3/21 - 14*a. Determine c, given that s(c) = 0.
0, 1
Let o(s) = -s**2 - s. Let p be o(-2). Let z be (4/p - -2) + 2. Factor 1/4*d + 0 + 1/4*d**z.
d*(d + 1)/4
Let y(x) = x**2 + 4*x - 10. Let k be y(-7). Let p = k + -8. Determine z so that -3/2 + 0*z**2 - 3*z**3 + p*z + 3/2*z**4 = 0.
-1, 1
Let t be (46/(-1) - 0) + 4. Let o be ((-4)/14)/(30/t). Factor -2/5*v - 2/5*v**4 + 2/5*v**3 + 0 + o*v**2.
-2*v*(v - 1)**2*(v + 1)/5
Let u(l) be the third derivative of -l**8/1120 - l**7/420 + l**6/1200 + l**5/120 + l**4/120 + 3*l**2. Let u(o) = 0. What is o?
-1, -2/3, 0, 1
Let x = 18 - 15. Factor 0*u**3 - 2*u**3 + 0*u**3 - u**5 - x*u**4.
-u**3*(u + 1)*(u + 2)
Let y(u) be the first derivative of 7*u**4/12 + 44*u**3/9 + 25*u**2/2 + 6*u - 5. Determine h so that y(h) = 0.
-3, -2/7
Suppose 0 = 2*p + 6 - 14. Let x = -1 + p. Factor 1/5 - 8/5*f**2 + 7/5*f**4 + 4/5*f**5 - 2/5*f**x - 2/5*f.
(f - 1)*(f + 1)**3*(4*f - 1)/5
Let g be (-4)/(3*(-1)/(-3)). Let p = 8 + g. Factor 4*k**2 - 3*k + k**5 + 4*k + 0*k**3 + 6*k**3 + 4*k**p.
k*(k + 1)**4
Let f(g) be the first derivative of -2 + 1/2*g**4 - g**2 + 4/3*g**3 - 4*g. Factor f(w).
2*(w - 1)*(w + 1)*(w + 2)
Let s(i) be the third derivative of -1/16*i**4 + 0*i - 7/120*i**5 + 1/80*i**6 + 1/84*i**7 + 1/6*i**3 + 0 + 6*i**2. Factor s(d).
(d - 1)*(d + 1)**2*(5*d - 2)/2
Let w be 8/(-6) - 40/(-12). Let j = -4 + 7. Factor 2/3*r**j + 2*r**2 + w*r + 2/3.
2*(r + 1)**3/3
Let z(x) = x**2 - x - 1. Let l be z(3). Let a be 23/l - (-20 + 23). Find n such that -2/5*n**4 - 4/5*n + 0 - 2*n**2 - a*n**3 = 0.
-2, -1, 0
Suppose -2*a + 5*v + 10 = 0, -2*a + 1 = -v - 9. Suppose -3*t = -a*g + 26, 0 = -4*g + 2*t - 5*t + 10. Factor 2*u**2 - 3*u**2 - 2 + g*u - u**2.
-2*(u - 1)**2
Let c be 489/105 - (-1)/5. Solve 10/7*b**3 + 32/7*b - c*b**2 - 8/7 = 0 for b.
2/5, 1, 2
Let f(d) be the second derivative of d**7/84 - d**6/60 - 3*d**5/40 + d**4/24 + d**3/6 - 3*d. Factor f(j).
j*(j - 2)*(j - 1)*(j + 1)**2/2
Let f(s) be the second derivative of -s**6/60 + 11*s**5/160 - 5*s**4/96 - s**3/24 + 5*s. Factor f(l).
-l*(l - 2)*(l - 1)*(4*l + 1)/8
Let c(k) be the second derivative of -7*k**5/20 + 4*k**4/3 + 26*k**3/3 - 8*k**2 - 29*k. Factor c(g).
-(g - 4)*(g + 2)*(7*g - 2)
Find u, given that -4*u - 9*u - 3*u + 4*u**2 = 0.
0, 4
Factor -20*a**3 - 30*a**2 - 5*a + 3*a - 19*a - 5*a**4 - 5 + a.
-5*(a + 1)**4
Let d(n) be the second derivative of 2*n**6/15 + 7*n**5/5 - 17*n**4/3 + 6*n**3 - 13*n. Factor d(f).
4*f*(f - 1)**2*(f + 9)
Determine w so that -9/7*w - 3/7*w**3 - 9/7*w**2 - 3/7 = 0.
-1
Let a(k) = -74*k + 370. Let i be a(5). Factor i - 3*n - 3/4*n**2.
-3*n*(n + 4)/4
Let t(v) = -v**2 + v + 1. Let i(a) be the third derivative of -a**5/12 + a**4/8 + a**3/2 - 4*a**2. Let d(h) = -2*i(h) + 6*t(h). Factor d(z).
4*z**2
Factor 0*p**3 + 4*p**3 - 6*p**3 - 2*p**2.
-2*p**2*(p + 1)
Let q(n) = -9*n**4 - 3*n**3 + 5. Let b be 2*1 - (4 - 4). Let g = b - -5. Let p(o) = -13*o**4 - 5*o**3 + 7. Let z(f) = g*q(f) - 5*p(f). Factor z(a).
2*a**3*(a + 2)
Let q(h) = 14*h**4 + 5*h**3 + 15*h**2 + 16*h - 23. Let j(g) = 3*g**4 + g**3 + 4*g**2 + 4*g - 6. Let w(m) = -18*j(m) + 4*q(m). Let w(c) = 0. Calculate c.
-2, 1, 2
Let p = 15 - 10. Let r(q) be the second derivative of -1/6*q**3 + 1/12*q**4 + 2*q + 1/20*q**p - 1/2*q**2 + 0. Find m such that r(m) = 0.
-1, 1
Let o = -104 - -526/5. Factor -2/5*c**4 + 0 - 6/5*c**3 - o*c**2 - 2/5*c.
-2*c*(c + 1)**3/5
Let t = -124 - -621/5. Suppose 2/5*f + 3/5*f**5 + 1/5*f**4 + 0 - t*f**2 - f**3 = 0. What is f?
-1, 0, 2/3, 1
Let k be (1/2)/(2/12). Let w be (-74)/185 - (1 + 118/(-70)). Find t such that -2/7*t**4 + 2/7*t**5 - w + 4/7*t**2 + 2/7*t - 4/7*t**k = 0.
-1, 1
Let g be (-20)/(-30) + (-44)/(-15). Let n = 1 - 1. Factor -2/5*a + 12/5*a**2 + n - g*a**3.
-2*a*(3*a - 1)**2/5
Let p = -26 + 16. Let h be 2/(-1)*2/p. Factor -2/5*l**4 + h*l**2 + 2/5*l**3 + 0 - 2/5*l.
-2*l*(l - 1)**2*(l + 1)/5
Let x(l) be the first derivative of -l**6/7 + 3*l**5/35 + 9*l**4/28 - l**3/7 - 3*l**2/14 + 3. Determine y so that x(y) = 0.
-1, -1/2, 0, 1
Solve -18*o**3 + 51*o**3 + 8*o**2 + 4*o**4 - 21*o**3 = 0 for o.
-2, -1, 0
Let l(x) be the third derivative of -x**6/60 + x**5/15 + x**4/3 - 8*x**3/3 - 7*x**2. Factor l(p).
-2*(p - 2)**2*(p + 2)
Let b(w) be the second derivative of -w**6/45 - 11*w**5/30 - 2*w**4 - 16*w**3/9 + 64*w**2/3 + 11*w. Factor b(h).
-2*(h - 1)*(h + 4)**3/3
Let v = 12 - 8. Let h(f) = -36*f**3 - 9*f**2 - 15*f + 21. Let o(b) = -7*b**3 - 2*b**2 - 3*b + 4. Let x(w) = v*h(w) - 21*o(w). Solve x(l) = 0.
-1, 0
Factor 8 + 4*o - 15/2*o**2 - 1/2*o**4 - 4*o**3.
-(o - 1)*(o + 1)*(o + 4)**2/2
Let o = -25 - -13. Let q be -1 + (-3 - 51/o). Let -q*b + 0 + 1/4*b**2 = 0. What is b?
0, 1
Let l(f) = -2*f**3 + 17*f**2 - 15*f + 11. Let z(i) = -i**3 + 9*i**2 - 8*i + 6. Let n(y) = 6*l(y) - 11*z(y). Factor n(c).
-c*(c - 2)*(c - 1)
Let x be 12/66 + 74/(-528). Let j(u) be the second derivative of 1/12*u**3 + x*u**4 + 0*u**2 + 0 + 2*u. Let j(n) = 0. What is n?
-1, 0
Let s(y) be the first derivative of y**6/2 - 21*y**5/5 + 39*y**4/4 - y**3 - 21*y**2 + 24*y + 26. Suppose s(o) = 0. Calculate o.
-1, 1, 2, 4
Factor 1/2*c**3 - 1/2*c**2 - 1/2*c**5 + 0 + 0*c + 1/2*c**4.
-c**2*(c - 1)**2*(c + 1)/2
Let t(n) be the first derivative of -3 - 9/2*n**2 - 2*n - 4/3*n**3. Factor t(k).
-(k + 2)*(4*k + 1)
Factor -3*v**3 + 8*v**3 - 6*v**3 + 4*v + 3*v**2.
-v*(v - 4)*(v + 1)
Let x(z) be the third derivative of -z**7/280 + z**6/240 + z**5/60 - z**4/48 - z**3/24 - 15*z**2. Determine c so that x(c) = 0.
-1