**d - 1/4*q + 1/2*q**2 + 3. Find x such that l(x) = 0.
1
Factor -4/9*t + 2/9*t**2 + 2/9.
2*(t - 1)**2/9
Let h(m) be the third derivative of 1/70*m**7 + 0*m**3 + 4*m**2 + 0 + 3/5*m**5 + 3/20*m**6 + 0*m + m**4. Let h(f) = 0. Calculate f.
-2, 0
Suppose 3*m + 9 = p, 0 = -m - 3*m - 8. Suppose 0 = -p*f + 4*f - 4*o - 19, -3*o = 12. What is q in -5/3*q**f - 1/3*q**2 - 4/3 + 8/3*q + 1/3*q**4 + 1/3*q**5 = 0?
-2, 1
Factor -1/3*j**3 + 1/6 + 1/3*j**2 - 1/2*j**4 + 1/2*j - 1/6*j**5.
-(j - 1)*(j + 1)**4/6
Solve 15*n**5 + 8*n**2 + 0*n**4 + 16*n - 2*n**5 - 32*n**3 + 3*n**5 - 4*n**4 - 4 = 0 for n.
-1, 1/4, 1
Let r be 1 - -5 - (-7 - -11). Suppose 0*d + 0 + 1/2*d**3 - 1/4*d**4 - 1/4*d**r = 0. Calculate d.
0, 1
Let q(b) be the second derivative of 0 + 1/9*b**4 + 7/18*b**3 - 1/3*b**2 + 5*b. Factor q(f).
(f + 2)*(4*f - 1)/3
Let g(m) = -m**5 - m**4 - m**3 + m**2 + 1. Let s(f) = -4*f**5 + 8*f**3 - 16*f - 6. Let j(k) = -4*g(k) + 2*s(k). Let j(u) = 0. What is u?
-1, 2
Let k(y) be the first derivative of -14*y**3/3 - 3*y**2 + 8*y + 1. Let w(u) = 14*u**2 + 7*u - 7. Suppose r - 20 = 6*r. Let m(i) = r*w(i) - 3*k(i). Factor m(c).
-2*(c + 1)*(7*c - 2)
Let c(a) be the second derivative of a**4/48 - 5*a**3/24 + 20*a. Factor c(h).
h*(h - 5)/4
Let q = -4 + 2. Let g be 1/(-1)*(q - 0). Determine o so that -2*o**g - 6*o + 2*o**3 - 4*o**2 - 4*o**3 - 2 = 0.
-1
Let t(x) be the first derivative of -3*x**5/10 - 27*x**4/8 - 27*x**3/2 - 81*x**2/4 + 9. Find o such that t(o) = 0.
-3, 0
Let a(o) be the first derivative of 2*o**6/7 + 3*o**5/5 - 3*o**4/14 - 8*o**3/7 - 3*o**2/7 + 3*o/7 + 10. What is i in a(i) = 0?
-1, 1/4, 1
Suppose 0 = -4*t - 20, -b - 2*t = -0*b - 6. Let w(f) be the second derivative of -1/15*f**6 + 0 - 4/5*f**5 - 4*f**4 - b*f**2 - 32/3*f**3 - f. Factor w(s).
-2*(s + 2)**4
Suppose 1 = h - 2*o, 3*o = 4*h - 0*o - 9. Suppose -k = h*k. Factor 3*v - 4*v - 3*v - v**2 - 4 + k.
-(v + 2)**2
Let f(c) = 2*c**3 + c**2 - 16*c + 4. Let d(q) = q**3 - q**2. Let w(l) = 2*d(l) + f(l). Determine o so that w(o) = 0.
-2, 1/4, 2
Let k(y) = -y**3 + y**2 - y. Let i(m) = -m**4 - 6*m**3 + 19*m**2 - 3*m - 16. Let l(w) = 5*i(w) - 35*k(w). Determine x, given that l(x) = 0.
-2, 1, 4
Let j(g) be the second derivative of 1/24*g**4 + 0*g**3 + 2*g + 0 + 0*g**2. Suppose j(n) = 0. What is n?
0
Let -76/3*q - 722/9*q**2 - 2 = 0. Calculate q.
-3/19
Let n(i) be the second derivative of i**5/5 + 17*i**4/3 + 42*i**3 - 162*i**2 - 17*i. Find a, given that n(a) = 0.
-9, 1
Suppose -2/7*c**2 - 16/7*c + 2/7*c**5 - 8/7 + 2*c**3 + 10/7*c**4 = 0. Calculate c.
-2, -1, 1
Suppose -4*i + 0*i + d - 5 = 0, 20 = -4*i + 4*d. Suppose 3*j = -i*j. Suppose 0*n**5 - n**5 - 2*n**2 + n + j*n**5 + 2*n**4 = 0. Calculate n.
-1, 0, 1
Let r(m) be the third derivative of m**7/35 - 11*m**6/60 - 7*m**5/10 + m**4/4 + 10*m**3/3 - 28*m**2. Factor r(q).
2*(q - 5)*(q + 1)**2*(3*q - 2)
Let k(l) be the third derivative of 3*l**5/5 - l**4/2 + l**3/6 + 35*l**2. Factor k(j).
(6*j - 1)**2
Suppose -c**2 - 19*c + 10 + 3*c - 26*c + 9*c**2 = 0. Calculate c.
1/4, 5
Let k(o) be the second derivative of 1/3*o**3 + 5*o + 0 + 0*o**2 + 1/12*o**4. Factor k(y).
y*(y + 2)
Suppose 7*z - 12 = 3*z. Let g(l) be the first derivative of 9*l**2 - 4*l - 2 - 8*l**z + 5/2*l**4. Suppose g(u) = 0. What is u?
2/5, 1
Let n(r) be the third derivative of r**6/180 - r**5/90 - r**4/36 + r**3/9 + 5*r**2. Factor n(b).
2*(b - 1)**2*(b + 1)/3
Let b = 3/53 + 44/159. Let 0 - 1/3*u**2 + b*u**4 + 0*u + 0*u**3 = 0. What is u?
-1, 0, 1
Factor 0 - 4/17*w**2 + 2/17*w + 2/17*w**3.
2*w*(w - 1)**2/17
Suppose -l - 16 = -5*l. Find o, given that -63/4*o**5 - 1/2*o**2 + 6*o**l + 0*o + 0 + 5/4*o**3 = 0.
-2/7, 0, 1/3
Suppose 4*f - 7*f**2 + 14*f - 8*f**3 + 23*f**2 + 6*f**3 = 0. What is f?
-1, 0, 9
Suppose 0 = 2*b + 2 - 6. Suppose -k + f - 5 = 0, 7*f - 25 = -2*k + b*f. Find n, given that -n**2 + 0*n**2 + k*n**2 + n = 0.
0, 1
Suppose -6/5 + 14/3*y + 8/15*y**2 = 0. What is y?
-9, 1/4
Let f(j) be the third derivative of -j**8/1512 + j**6/270 - j**4/108 + 3*j**2. Factor f(l).
-2*l*(l - 1)**2*(l + 1)**2/9
Let h(u) = u**3 - 5*u**2 - 5*u - 3. Let x be h(6). Let s(n) = n**3 - 3*n**2 + n - 2. Let q be s(x). Factor 3/2*k + 1/2*k**2 + q.
(k + 1)*(k + 2)/2
Let c(o) be the first derivative of 9*o**5/5 + 33*o**4/4 + 37*o**3/3 + 15*o**2/2 + 2*o - 3. What is q in c(q) = 0?
-2, -1, -1/3
Let a be ((-3)/18)/((-6)/240). Factor -2/3*k**5 - a*k**3 + 20/3*k**2 - 10/3*k + 2/3 + 10/3*k**4.
-2*(k - 1)**5/3
Let j(t) be the second derivative of t**5/20 - t**3/2 - t**2 + 8*t. Factor j(s).
(s - 2)*(s + 1)**2
What is x in 2 + 39*x**2 - 42*x**2 - 5 - 6*x = 0?
-1
Let f be 7/35 + (-16)/5. Let j be (-3)/((27/6)/f). Find b such that -5*b**j + 2*b**3 - 1 - 9/2*b + 6*b**4 + 5/2*b**5 = 0.
-1, -2/5, 1
Let q be -2 + 226/8 - -1. Let s = q + -27. Suppose -1/4*k**3 + 0*k + s*k**2 + 0 = 0. Calculate k.
0, 1
Determine o so that -5*o**3 + 5*o**2 + 6*o**2 - 6*o**2 = 0.
0, 1
Let z = 0 - -1/2. Let g(j) be the first derivative of 1/2*j**2 + 2*j + 4/5*j**5 + z*j**6 - 1 - 2*j**3 - j**4. Factor g(a).
(a - 1)*(a + 1)**3*(3*a - 2)
Let w = 20 + -18. Suppose 9*k - w*o - 4 = 4*k, -3*k - 6 = 3*o. Factor -2/9*q**2 + 0*q + k.
-2*q**2/9
Suppose -55 = -4*g - g. Let x = g - 7. Solve -4/3*a**3 + 1/3*a**x + 1/3 - 4/3*a + 2*a**2 = 0.
1
Let b(h) = 5*h**3 + 18*h**2 + 25*h + 14. Let f(r) = -r**3 + r - 1. Let n(y) = -b(y) - 2*f(y). Factor n(v).
-3*(v + 1)**2*(v + 4)
Let c(x) be the third derivative of -4*x**2 + 1/66*x**4 + 1/11*x**3 + 0 - 1/330*x**5 + 0*x. Factor c(k).
-2*(k - 3)*(k + 1)/11
Let g be 2/4*((-3)/3)/(-2). Suppose 1/4*q**3 - 5/4*q + 3/4*q**2 + 1/2 - g*q**4 = 0. Calculate q.
-2, 1
Let h = -19/8 + 59/24. Let c(o) be the third derivative of -o**2 + 0*o**4 + h*o**6 + 0*o + 1/15*o**5 + 0*o**3 + 1/35*o**7 + 0. Factor c(r).
2*r**2*(r + 1)*(3*r + 2)
Suppose 4*h - 143 = 49. Suppose -5*d**4 - 26*d - 5*d**3 - 29*d**3 - 5*d**4 - h*d**2 - 4 + 2*d**4 = 0. Calculate d.
-2, -1, -1/4
Let g(m) = -m**2 - 10*m + 13. Suppose 5*o = 6*o + 11. Let i be g(o). Let -2/3*l**i + 0 + 0*l = 0. Calculate l.
0
Let a(b) be the second derivative of -b**6/120 + b**5/20 - b**4/16 - b**3/6 + b**2/2 + 8*b. Factor a(q).
-(q - 2)**2*(q - 1)*(q + 1)/4
Let x be (8/(-10))/((-70)/25). Solve -2/7 - x*i + 2/7*i**2 + 2/7*i**3 = 0 for i.
-1, 1
Suppose 0*h = -h - 3. Let d = 3 + h. Factor 1/3*o**4 + o**2 + d - o**3 - 1/3*o.
o*(o - 1)**3/3
Suppose -2*d**4 - 5*d**2 + 10*d**3 + 5*d**4 - 10*d + 4*d**4 - 2*d**4 = 0. What is d?
-2, -1, 0, 1
Solve 2/7*d - 4/7 + 2/7*d**2 = 0.
-2, 1
Let b(f) be the second derivative of -f**9/5040 + f**8/2240 + f**7/840 - f**6/240 - 5*f**4/6 + 3*f. Let i(u) be the third derivative of b(u). Factor i(d).
-3*d*(d - 1)**2*(d + 1)
Factor 0 - 6 + 75*l**3 - 64*l + 25*l**3 - 20*l**2 - 10.
4*(l - 1)*(5*l + 2)**2
Let b(g) be the first derivative of 4*g**2 + 5*g**3 + g - 2*g**4 - 16/5*g**5 - 2. Suppose b(d) = 0. What is d?
-1, -1/4, 1
Suppose 5*s + 0*s = -120. Let l be (-6)/s*16/5. Determine m so that -2/5*m**2 + l + 2/5*m = 0.
-1, 2
Let p be 3/(-1) - 211/(-70). Let z(g) be the third derivative of 0*g**3 + 1/735*g**7 + 0*g + p*g**5 - 1/84*g**4 + 0 - 1/140*g**6 + 3*g**2. Factor z(w).
2*w*(w - 1)**3/7
Let l(j) = 3*j**4 - 7*j**3 + 2*j**2 - j + 3. Let d = 6 - 2. Let y(s) = -s**3 + s**2 - s + 1. Let q(k) = d*l(k) - 12*y(k). Factor q(a).
4*a*(a - 1)**2*(3*a + 2)
Suppose 1 = -3*g + 7. Let -2*d**4 + d**4 + d**2 - 4*d**2 + 4*d**g = 0. Calculate d.
-1, 0, 1
Factor -58 - 2*k**2 + 7 + 19 - 16*k.
-2*(k + 4)**2
Let y be (-25)/(-10)*(-6)/(-5). Suppose -9 + 3 = -y*i. Factor r**i + 2*r**4 - 3*r**2 - 4*r + 2*r**3 + 2*r.
2*r*(r - 1)*(r + 1)**2
Let h(o) be the first derivative of -o**5/420 + o**4/168 + o**2/2 - 9. Let t(q) be the second derivative of h(q). Let t(m) = 0. Calculate m.
0, 1
Let g = 1253 + -1250. Determine f so that -8/5*f + 8/5 + 10*f**g - 10*f**2 = 0.
-2/5, 2/5, 1
Let p = 4 + -4. Let f(v) be the third derivative of -1/150*v**5 + 0*v + 1/525*v**7 + 0*v**6 - 2*v**2 + 0*v**3 + 0*v**4 + p. Let f(x) = 0. Calculate x.
-1, 0, 1
Factor 4/3 - 4/3*q - 4/3*q**2 + 4/3*q**3.
4*(q - 1)**2*(q + 1)/3
Let w(v) be the second derivative of v**5/150 + v**4/45 - v**3/45 - 2*v**2/15 - 9*v + 2. Find y such that w(y) = 0.
-2, -1, 1
Factor 0 - 2/3*g - 2/3*g**2.
-2*g*(g + 1)/3
Let f(d) = -d**2 + 6*d - 4. Let g be f(4). Factor 3*x**2 - 7