3*s - 1)**2/4
Let o(t) be the third derivative of 1/84*t**6 + 12*t**2 + 0 + 4/105*t**5 + 2/7*t**3 - 17/84*t**4 - 2/735*t**7 + 0*t. Solve o(p) = 0.
-2, 1/2, 1, 3
Let j(b) be the third derivative of b**6/40 - 3*b**5/10 + 16*b**3 - 70*b**2. Determine s, given that j(s) = 0.
-2, 4
Let y = 493 - 489. Let s(q) be the first derivative of -1 - 13*q**2 - 17/2*q**y + 4*q + 8/5*q**5 + 16*q**3. Factor s(b).
2*(b - 2)*(b - 1)**2*(4*b - 1)
Suppose -5*y - 2 = -4*b, 4*y - 5*b - 17 = -8*b. What is l in 40 - 22*l + 137*l**y - 14*l - 141*l**2 = 0?
-10, 1
Let f(i) = 50*i**4 + 220*i**3 + 35*i**2 + 35. Let w = -56 + 21. Let n(r) = 3*r**4 + 13*r**3 + 2*r**2 + 2. Let q(h) = w*n(h) + 2*f(h). Factor q(m).
-5*m**3*(m + 3)
Let q = 979 - 8801/9. Let z(h) be the first derivative of -10/3*h**2 + 5 + 40/3*h - q*h**3 + 5/12*h**4. Determine x so that z(x) = 0.
-2, 2
Let y(w) be the second derivative of -w**7/42 + w**6/30 + w**5/4 - w**4/12 - 4*w**3/3 - 2*w**2 - 21*w. Suppose y(d) = 0. What is d?
-1, 2
Let r(i) = -2*i**3 + 5*i**2 + 12. Let l be r(3). Factor 0*x + 2*x**4 + 0*x**2 - 4/5*x**l + 0.
2*x**3*(5*x - 2)/5
Suppose -8154*m**3 - 5*m**5 + 8162*m**3 + 6*m**4 + 3*m**5 = 0. What is m?
-1, 0, 4
Let p(c) be the third derivative of -c**5/140 - 33*c**4/56 + 17*c**3/7 + 48*c**2. Determine s so that p(s) = 0.
-34, 1
Factor 14/3*i + 2/3 + 13/6*i**2.
(i + 2)*(13*i + 2)/6
Factor -1/7*v**3 + 1/7*v**5 - 3/7*v**2 + 0*v + 3/7*v**4 + 0.
v**2*(v - 1)*(v + 1)*(v + 3)/7
Solve 7*a**3 - 65*a - 4*a**3 + 29*a - 27*a**2 + 60 + 0*a**3 = 0 for a.
-2, 1, 10
Let q(z) be the third derivative of 1/1680*z**8 + 1/30*z**4 + 0 + 0*z + 1/75*z**5 - 1/525*z**7 + z**2 - 1/200*z**6 + 0*z**3. Let q(w) = 0. What is w?
-1, 0, 2
Let d = -74 + 77. Factor 3*j - 5*j - d*j**3 + 7*j**3 - 2*j**3.
2*j*(j - 1)*(j + 1)
Let q(m) be the first derivative of -52/9*m**2 + 16/9*m + 188/27*m**3 - 35/18*m**4 - 27. Let q(k) = 0. Calculate k.
2/7, 2/5, 2
Suppose 12 = c + 2*o, -3*o - 6 - 6 = 0. Suppose -u - 2*u = -15, 0 = 5*r + u - c. Solve 2*t**r + 46*t - 2*t**5 - 46*t = 0.
-1, 0, 1
What is h in -5*h**5 + 0*h**3 + 25*h**3 - 76 - 20*h + 76 = 0?
-2, -1, 0, 1, 2
Suppose 25*l - 104 + 1 + 28 = 0. Factor 12/7*a**l + 0 + 3/7*a**4 + 0*a + 12/7*a**2.
3*a**2*(a + 2)**2/7
Suppose 20 = -u - u. Let r = u + 10. Find o such that 4*o**2 - 5*o**3 + r*o**2 + 2 + 5*o**3 + o**3 + 5*o = 0.
-2, -1
Let v(n) be the second derivative of 9*n + 0*n**3 + 0*n**4 + 0 - 1/30*n**5 + 0*n**6 + 0*n**2 + 1/63*n**7. Factor v(j).
2*j**3*(j - 1)*(j + 1)/3
Let h be (-420)/(-2880)*(-2)/(-7). Let f(x) be the first derivative of -h*x**4 + 1/12*x**2 + 1/9*x**3 - 1/3*x - 6. Determine j so that f(j) = 0.
-1, 1, 2
Let z(c) be the first derivative of 1/60*c**6 + 1/6*c**3 - 5 - 1/20*c**5 - 1/4*c**2 + 0*c**4 + 3*c. Let q(i) be the first derivative of z(i). Factor q(l).
(l - 1)**3*(l + 1)/2
Let u(t) be the third derivative of 3*t**7/70 - t**6/10 - 7*t**5/20 + t**4/2 + 2*t**3 - 2*t**2 - 37. Determine y so that u(y) = 0.
-1, -2/3, 1, 2
Suppose 16 = 261*x - 251*x - 14. Factor 1/4*c**2 + 0*c + 0 + 4*c**5 + 9/4*c**x + 6*c**4.
c**2*(c + 1)*(4*c + 1)**2/4
Let g(d) = -d**3 - d**2 + 4. Let u be g(0). Factor -4*o**2 + o**3 + 2*o**3 - 6*o**3 + u*o + o + 2.
-(o - 1)*(o + 2)*(3*o + 1)
Suppose -b - 2*v = 10, -b - 4*v - 38 = 4*b. Let t = -3 - b. Determine n so that -2*n**t - n + 7*n + 1 + 3 = 0.
-1, 2
Suppose -2*i = 3*f + i - 9, 2*i = f - 6. Find q, given that f*q**2 + 0*q**2 - q**2 - 4*q - q**2 = 0.
0, 2
Let m(c) be the third derivative of -c**8/168 - 11*c**7/105 - 7*c**6/12 - 5*c**5/6 + 29*c**2 + 4. Solve m(l) = 0 for l.
-5, -1, 0
Suppose -125 = -3*x - 119. Factor 69*g**2 + 20*g + 9*g**3 - 4*g**3 - 49*g**x.
5*g*(g + 2)**2
Let t be (-1 + 1)/((60/12 + 5)/10). Factor 2*n - 12/7 + t*n**2 - 2/7*n**3.
-2*(n - 2)*(n - 1)*(n + 3)/7
Let o(b) = -b**2 - 2*b. Let y(z) = -6*z**4 - 32*z**3 - 50*z**2 - 4*z + 32. Let w(x) = 4*o(x) - 2*y(x). Factor w(m).
4*(m + 2)**3*(3*m - 2)
Factor 1/2*v**2 + 5*v**4 + 0 + 3*v**5 + 0*v + 11/4*v**3.
v**2*(2*v + 1)**2*(3*v + 2)/4
Let q(f) be the second derivative of -f**6/45 - 13*f**5/30 - 8*f**4/3 - 4*f**3 - 34*f. Factor q(n).
-2*n*(n + 1)*(n + 6)**2/3
Let u(l) be the third derivative of l**7/945 + l**6/135 + 2*l**5/135 - l**2 - 9*l. Suppose u(g) = 0. Calculate g.
-2, 0
Determine u so that -4 - 17/3*u + 1/2*u**2 = 0.
-2/3, 12
Let f(c) = -c**2 - c. Let y(k) be the third derivative of -k**6/120 - 2*k**5/15 - 5*k**4/24 - 2*k**3/3 + 13*k**2. Let q(p) = 36*f(p) - 4*y(p). Factor q(i).
4*(i - 2)*(i - 1)*(i + 2)
Let x(r) = -r**3 - 20*r**2 + 25*r + 4. Let i(p) = 21*p**2 - 24*p - 3. Let s(f) = 4*i(f) + 3*x(f). Solve s(n) = 0.
0, 1, 7
Let s(i) = 7*i**3 - 2*i**2 + 6*i + 24. Let v(o) = 7*o**3 - 2*o**2 + 7*o + 28. Let x(y) = -7*s(y) + 6*v(y). Factor x(l).
-l**2*(7*l - 2)
Let b(k) be the second derivative of 23*k**6/360 - 7*k**5/40 - k**4/12 + 11*k**3/6 - k. Let s(u) be the second derivative of b(u). Factor s(a).
(a - 1)*(23*a + 2)
Suppose 5*x = 5*t - 3*t - 19, -2*t + 3*x = -13. Factor 2*a**2 + 4*a**4 - 3*a**4 + t*a**2 - 4*a**3 - a**2.
a**2*(a - 3)*(a - 1)
Let w be 380/114 - (-2)/(-6). Let i(z) be the first derivative of 8/25*z**5 + 3/5*z**4 - 3 + 0*z + 1/5*z**2 + 1/15*z**6 + 8/15*z**w. Solve i(v) = 0.
-1, 0
Let p(u) be the first derivative of -u**3/3 - 80*u**2 - 6400*u + 58. Solve p(t) = 0.
-80
Let n = 51 - 69. Let j = 20 + n. Factor 7/2*w + 3/2 + 5/2*w**j + 1/2*w**3.
(w + 1)**2*(w + 3)/2
Suppose 0*i - 2*i + 8 = r, 0 = 3*r - 6. Determine s, given that -2*s**3 + 2*s + s + 5*s**i + 6*s**2 + 0*s**3 = 0.
-1, 0
Factor -242*r**2 + 116*r**2 + 79*r + 127*r**2.
r*(r + 79)
Let i(f) be the first derivative of -f**6/3 - 3*f**5/10 + 5*f**4/6 + f**3 + 42*f - 13. Let q(g) be the first derivative of i(g). Solve q(n) = 0 for n.
-1, -3/5, 0, 1
Let y = -23858/3 + 7953. Factor 2/3 + 0*g**2 + g - y*g**3.
-(g - 2)*(g + 1)**2/3
Let g(l) be the first derivative of -8 + 0*l + l**2 + 2/3*l**3 - 2/5*l**5 - 1/2*l**4. Let g(t) = 0. Calculate t.
-1, 0, 1
Let s(b) be the third derivative of 11*b**2 + 0*b + 4/135*b**5 + 1/180*b**6 + 0*b**3 - 1/36*b**4 + 0. Let s(d) = 0. Calculate d.
-3, 0, 1/3
Let p(n) be the second derivative of n**7/126 + n**6/45 - n**4/18 - n**3/18 + 85*n. Factor p(t).
t*(t - 1)*(t + 1)**3/3
Suppose -3*j = 4*d + 4, -5*d - 8 + 30 = -3*j. Determine h so that 0*h**d + 19*h + h**3 - 21*h - 3*h**3 - 4*h**2 = 0.
-1, 0
Let v(n) be the third derivative of -n**6/60 + n**5/10 - 4*n**3/3 - 346*n**2. What is x in v(x) = 0?
-1, 2
Suppose -5*q + 7*q - 4 = 0. Let m(g) = g**3 + 8*g**2 - 9*g + 2. Let j be m(-9). Factor -q*b**j + 2*b**4 - b**4 + 2*b - 2*b**3 + b**4 + 0*b.
2*b*(b - 1)**2*(b + 1)
Let l be (-608)/950*60/(-16). Solve -2/5*m - l*m**4 + 22/5*m**3 - 8/5*m**2 + 0 = 0.
-1/6, 0, 1
Let u(q) be the second derivative of -q**9/15120 + q**7/2100 - q**5/600 - q**3/3 - 9*q. Let o(n) be the second derivative of u(n). Factor o(p).
-p*(p - 1)**2*(p + 1)**2/5
Find m such that 54/5*m**2 - 21*m - 1/5*m**3 + 52/5 = 0.
1, 52
Let p = -2920991/315 + 9273. Let q(u) be the third derivative of 0 + p*u**7 + 1/12*u**4 + 0*u + 1/9*u**3 - 1/18*u**5 - 1/60*u**6 - u**2. Solve q(b) = 0 for b.
-1, -1/4, 1
Let h(c) be the second derivative of -c**7/12600 + c**6/600 - c**4 - 5*c. Let g(w) be the third derivative of h(w). Factor g(a).
-a*(a - 6)/5
Let d(v) be the first derivative of 5*v**4/12 - 5*v**3/2 + 5*v**2 - 11*v + 5. Let j(c) be the first derivative of d(c). Let j(x) = 0. What is x?
1, 2
Let h(z) = 9*z**3 - 25*z**2 + 7*z - 6. Let n(u) = -28*u**3 + 76*u**2 - 16*u + 16. Let k(o) = 16*h(o) + 5*n(o). Determine j so that k(j) = 0.
1, 2
Let b(l) be the third derivative of 2*l**7/21 - l**6/24 - l**5 - 25*l**4/24 + 5*l**3/3 - 2*l**2 + 32*l. Solve b(n) = 0 for n.
-1, 1/4, 2
Let d(m) = m**2 - 10*m + 20. Let j be d(8). Suppose -o + 15 = j*o. Factor -39*i**4 + 19*i**5 - i**5 + 8*i**o - 2*i**3 + 15*i**5.
3*i**3*(i - 1)*(11*i - 2)
Let a(v) be the first derivative of v**4 - v**3 - 9*v**2/2 - 2*v - 142. Find c such that a(c) = 0.
-1, -1/4, 2
Let q(y) be the second derivative of 0 - 4*y**3 + 24*y**2 + 1/4*y**4 + 3*y. Determine h, given that q(h) = 0.
4
Let o = 0 + 2. Let n = o - -1. Factor 0*z**2 - 2*z**3 - z**n + 6*z**2 + 3*z + 6*z**3.
3*z*(z + 1)**2
Let z(l) be the first derivative of 4*l**3/3 + 18*l**2 - 88*l - 87. Factor z(f).
4*(f - 2)*(f + 11)
Fac