e -8/5 + 14/5*q**3 + 38/5*q**k + 16/5*q = 0.
-2, -1, 2/7
Let y(c) be the third derivative of c**5/12 - 11*c**4/48 + c**3/4 + 13*c**2. Factor y(v).
(2*v - 1)*(5*v - 3)/2
Let a(v) be the third derivative of v**6/240 + v**5/120 + v**2. What is h in a(h) = 0?
-1, 0
Suppose -4*c - n = -9, -c - c = 4*n - 8. Factor 0 + 4/5*p + 2/5*p**c.
2*p*(p + 2)/5
Let i(c) be the second derivative of -c**5/30 - 5*c**4/9 - 32*c**3/9 - 32*c**2/3 - 35*c. Solve i(k) = 0 for k.
-4, -2
Let t(q) be the second derivative of -q**7/112 + 3*q**6/40 - 27*q**4/16 + 81*q**3/16 - 38*q. Factor t(u).
-3*u*(u - 3)**3*(u + 3)/8
Let y = 0 - -1. Suppose -k + 3 = y. Factor 4/7 + 2/7*o**k + 6/7*o.
2*(o + 1)*(o + 2)/7
Let o(j) = -j**4 - j**3 - 2*j**2 - 2*j. Let n(r) be the third derivative of r**5/30 + r**4/12 + 6*r**2. Let a(y) = -6*n(y) - 4*o(y). Factor a(k).
4*k*(k - 1)*(k + 1)**2
Factor 0 + 3/4*p**2 + 6*p.
3*p*(p + 8)/4
Let n(a) be the second derivative of -a**6/280 + a**5/70 - a**4/56 + 5*a**2/2 - 9*a. Let h(o) be the first derivative of n(o). Let h(m) = 0. Calculate m.
0, 1
Let a(f) = -f**3 - f + 1. Let g(z) = -4*z**3 + 5*z**2 - 13*z - 7. Let w(y) = -20*a(y) + 4*g(y). Factor w(p).
4*(p - 2)*(p + 1)*(p + 6)
Suppose 3 = -2*p + 9. Factor 6*s**p + 0*s**3 - 12*s**2 - 2*s**3 + 8*s**2.
4*s**2*(s - 1)
Let o be 2/2*(-24)/(-28). Suppose 2/7*l**3 + 8/7 + 0*l - o*l**2 = 0. What is l?
-1, 2
Let q(y) = -5*y**2 + y + 2. Let j(k) = -14*k**2 + 4*k + 6. Let l(z) = 4*j(z) - 11*q(z). Let b be l(5). What is i in -3*i**2 + 0*i + 4*i**b + 2 + 3*i = 0?
-2, -1
Suppose 36 = 2*i + 7*i. Solve 1/3*q - 2/3*q**2 + 1/2*q**i + 1/6 - 1/3*q**3 = 0 for q.
-1, -1/3, 1
Let b(p) be the first derivative of 4/35*p**5 + 3 + 0*p - 4/21*p**3 - 3/14*p**4 + 0*p**2. What is z in b(z) = 0?
-1/2, 0, 2
Let t be (-9)/36 + 13/20. Factor -2/5*z**2 + t*z + 0.
-2*z*(z - 1)/5
Let f(h) be the second derivative of 4*h**6/15 - h**5/10 - 2*h**4/3 + h**3/3 - 6*h. Factor f(l).
2*l*(l - 1)*(l + 1)*(4*l - 1)
Let w = -18/7 + 43/14. Factor w*l + l**2 - 1 - 1/2*l**3.
-(l - 2)*(l - 1)*(l + 1)/2
Suppose 2*c + 2*c - 10*c = 0. Factor c*n + 2/7 - 2/7*n**2.
-2*(n - 1)*(n + 1)/7
Let y(b) be the second derivative of -b**6/135 + b**5/45 - 2*b**3/27 + b**2/9 + 24*b. Factor y(l).
-2*(l - 1)**3*(l + 1)/9
Let t(p) be the third derivative of p**5/20 - p**4/2 + 2*p**3 + 18*p**2. Factor t(j).
3*(j - 2)**2
Determine l, given that 10*l**3 - 55*l**2 + 6*l**3 + 7*l**3 - 8*l**3 + 30*l = 0.
0, 2/3, 3
Suppose 0 = -5*z + 2*z + 48. Factor z - 4 + 24*h + 4*h**2 + 24.
4*(h + 3)**2
Let a(o) be the third derivative of -o**7/1260 + o**6/120 - o**5/30 + o**4/12 - o**2. Let c(h) be the second derivative of a(h). Solve c(k) = 0.
1, 2
Let v(q) = 26*q**2 - 24*q - 24. Let z(l) = l**2 - l - 1. Let w(y) = -2*v(y) + 44*z(y). Factor w(k).
-4*(k - 1)*(2*k + 1)
Let g be 2115/72 + 1/8. Let a = -29 + g. Determine i so that 0 + 1/2*i + 0*i**2 - a*i**3 = 0.
-1, 0, 1
Let l = 3 - -1. Let j(t) be the first derivative of -4*t**2 - 1/2*t**l + 0*t - 8/3*t**3 + 3. Factor j(w).
-2*w*(w + 2)**2
Let s(f) be the third derivative of f**7/210 - f**6/24 + 2*f**5/15 - f**4/6 - 39*f**2 - 2*f. Suppose s(l) = 0. Calculate l.
0, 1, 2
Suppose -5*p = 3*h + 8 - 18, p = 4*h + 2. Find g such that 2/5*g**2 + 6/5*g**4 + h + 6/5*g**3 + 2/5*g**5 + 0*g = 0.
-1, 0
Let p be -1 + ((-6)/(-2) - (2 + -2)). Factor 3/2*s**p + 3/2*s**3 - 3/2 - 3/2*s.
3*(s - 1)*(s + 1)**2/2
Let g(w) = w. Let b be g(2). Suppose b*m - 5 = 7. Factor m*d + 2*d**2 + 2*d - 4 - 4*d**2 - d**2.
-(d - 2)*(3*d - 2)
Let q be (-3)/(-6) - 1/2. Find i such that i - i + q*i + i**3 - 2*i**2 = 0.
0, 2
Let a = 916/61 - -72400/427. Let v = a + -184. Let 0*f - 6/7*f**3 + 0 + 4/7*f**4 + 6/7*f**5 - v*f**2 = 0. Calculate f.
-1, -2/3, 0, 1
Let w(h) = -h. Let g(n) = 4*n**2 - 12*n + 6. Let i(a) = -g(a) - 2*w(a). Factor i(t).
-2*(t - 3)*(2*t - 1)
Factor -4/3 + 2/3*b**2 + 2/3*b.
2*(b - 1)*(b + 2)/3
Let q = -16 + 25. Let i = 9 - q. Solve 0*z**2 + 1/2*z + 1/2*z**5 + i*z**4 - z**3 + 0 = 0 for z.
-1, 0, 1
Let a be ((-6)/9)/(2/(-9)). Factor -4 + 0 + k**3 + k - k + a*k**2.
(k - 1)*(k + 2)**2
Let a(y) be the first derivative of y**2/2 + 9*y + 4. Let h be a(-5). Determine k, given that 0*k**3 + 0*k**2 - 2/11*k**5 + 0*k + 0 + 2/11*k**h = 0.
0, 1
Let b(h) be the first derivative of -8/7*h**4 + 3 + 16/7*h**3 + 2/7*h - 9/7*h**2. Factor b(o).
-2*(o - 1)*(4*o - 1)**2/7
Factor 13*t**2 + 3*t**3 - 14*t + 5*t**2 + 50*t + 24.
3*(t + 2)**3
Let q = -396 + 396. Let q + 2/5*c - 2/5*c**2 = 0. Calculate c.
0, 1
Let k be (-3)/(-5) - 9/15. Let q(d) be the second derivative of d**2 + 2*d + k + 2/3*d**3 + 1/6*d**4. Factor q(u).
2*(u + 1)**2
Let x be (-12 - -12)*1/(-2). Let y(b) be the second derivative of 0*b**3 + x + 1/12*b**4 - b + 0*b**2. Determine q so that y(q) = 0.
0
Let c(g) be the first derivative of -3/4*g + 1/4*g**3 - g**2 - 7. Factor c(r).
(r - 3)*(3*r + 1)/4
Let i = -5 + 2. Let c(m) = -2 - 2 + 1 - 3*m**2 + 4*m + 0*m**4 - 2*m**4. Let g(b) = 6*b**4 + b**3 + 8*b**2 - 11*b + 8. Let o(l) = i*g(l) - 8*c(l). Factor o(f).
-f*(f + 1)**2*(2*f - 1)
Let j = -1199/12 + 100. Let o(w) be the second derivative of w + 0*w**2 + 1/12*w**4 + j*w**3 + 0 + 1/40*w**5. Solve o(n) = 0 for n.
-1, 0
Let t(x) be the first derivative of -x**3 - 3*x**2 - 3*x + 10. Suppose t(f) = 0. What is f?
-1
Suppose -3/2 + 15/8*x**2 + 63/8*x**3 - 9/2*x - 15/4*x**4 = 0. Calculate x.
-1/2, -2/5, 1, 2
Let j(d) = -13*d - 1. Suppose 0 = -2*r + 3*s - 9, -2*r - 7 = -r + s. Let w(i) = i**2 - 14*i - 2. Let n(x) = r*j(x) + 5*w(x). Suppose n(b) = 0. What is b?
-2, 2/5
What is o in -4*o + 8*o**2 + 4*o**3 - o**5 - 3*o**5 - 4*o**4 - 4 - 3*o**3 + 7*o**3 = 0?
-1, 1
Suppose 0*b = -b. Suppose 0 = 5*k + 2*w - 25, -4*k + 2*w + b = -20. Factor y**2 + 0*y + 3 + y + 0*y - k.
(y - 1)*(y + 2)
Suppose -2*q + 4*p - 60 = 0, -6 = 2*p - 0*p. Let d = 73/2 + q. Factor -d*h**3 - 1/4*h**4 + 0 + 1/4*h**2 + 1/2*h.
-h*(h - 1)*(h + 1)*(h + 2)/4
Let m(i) be the third derivative of i**6/180 + 4*i**5/45 + 5*i**4/36 - 50*i**3/9 - 50*i**2 - 2*i. Factor m(f).
2*(f - 2)*(f + 5)**2/3
Factor 8/3*q**2 + q**3 - 5*q + 4/3.
(q - 1)*(q + 4)*(3*q - 1)/3
Let w(c) be the second derivative of 2*c**7/21 - 8*c**6/15 + 3*c**5/5 + 4*c**4/3 - 8*c**3/3 + c. Factor w(p).
4*p*(p - 2)**2*(p - 1)*(p + 1)
Solve -2/3 - 2/3*z**4 - 2/3*z - 2/3*z**5 + 4/3*z**2 + 4/3*z**3 = 0.
-1, 1
Let x(u) be the third derivative of -u**8/714 + 3*u**7/595 + u**6/510 - 3*u**5/170 + u**4/102 - 19*u**2. Solve x(k) = 0.
-1, 0, 1/4, 1, 2
Let p(m) = 1. Let d = 11 + 10. Let c(q) = 3*q**2 - 3*q + 21 - d. Let u(a) = c(a) - 6*p(a). Factor u(b).
3*(b - 2)*(b + 1)
Let w = -74 - -78. Find l, given that -4/3*l**w + 0*l + 0 - 2/3*l**3 + 0*l**2 - 2/3*l**5 = 0.
-1, 0
Let c(s) be the third derivative of 1/945*s**7 + 4*s**2 + 0*s + 0*s**5 + 0 - 1/27*s**3 + 1/270*s**6 - 1/54*s**4. Factor c(i).
2*(i - 1)*(i + 1)**3/9
Suppose -8 = -t - 3*t. Let w = -28 - -85/3. Factor -1/3*l**t - w*l + 0.
-l*(l + 1)/3
Suppose -5*d - 15*s = -12*s, 2*s + 1 = -3*d. Determine o, given that 3/4*o**2 - d*o**3 + 3*o**5 + 0*o + 0 - 3/4*o**4 = 0.
-1, 0, 1/4, 1
Let c(y) be the second derivative of 0*y**5 + 2/105*y**6 + 1/147*y**7 + 0*y**2 + 0 - 1/21*y**4 - 1/21*y**3 + y. Factor c(u).
2*u*(u - 1)*(u + 1)**3/7
Let r(d) = d**3 - 4*d**2 + 4*d - 3. Let q be (-46)/(-14) - 6/21. Let g be r(q). Determine o so that g - 1/5*o**2 + 0*o = 0.
0
Let x(u) be the second derivative of -u**4/28 + 3*u**2/14 - u. Factor x(a).
-3*(a - 1)*(a + 1)/7
Let i(q) be the second derivative of q + 1/2*q**4 - 2/3*q**3 + 1/30*q**6 + 1/2*q**2 + 0 - 1/5*q**5. Factor i(p).
(p - 1)**4
Let i(l) be the second derivative of -l**4/72 + l**3/6 - 5*l**2/12 - 21*l. Factor i(s).
-(s - 5)*(s - 1)/6
Let t(h) be the first derivative of -h**5/20 + h**4/2 - 2*h**3 + 3*h**2/2 - 6. Let g(n) be the second derivative of t(n). Factor g(z).
-3*(z - 2)**2
Let t = -20 + 23. Factor 0*g**2 - 1/5*g + 1/5*g**t + 0.
g*(g - 1)*(g + 1)/5
Let f be (-16)/(-7) + 14/(-49). Suppose 4 = 2*h + 3*r + 2, 16 = 3*h - 2*r. Suppose -f*q**h - q - 4*q**2 + 2*q - 5*q**3 - 2*q = 0. Calculate q.
-1, -1/2, 0
Suppose 3 = -3*k + 4*k, 5*o = 2*k + 4. What is b in 6/5*b**3 + o*b**2 + 2/5*b - 2/5 = 0?
-1, 1/3
Suppose -15 = -2*r - r. What is m in 1 + 25/4*m**2 - r*m = 0?
2/5
Suppose 2*o = o + 2. Suppose x + 0*h = h + 6, -3*h = -5*x + 20. Suppose 1 + c*