rd derivative of -h**6/900 + h**5/18 - 2*h**4/15 + 406*h**2. Factor m(z).
-2*z*(z - 24)*(z - 1)/15
Let a = 3 - -3. Let z(i) = -i**2 - i - 2 + 2. Let y(g) = 4*g**2 + 12*g - 4. Let p(h) = a*z(h) + y(h). Factor p(k).
-2*(k - 2)*(k - 1)
Factor 502*p**3 - 14*p**2 - 167*p**3 - 167*p**3 + 20*p + 32 - 170*p**3.
-2*(p - 2)*(p + 1)*(p + 8)
Let d be ((-18)/(-27))/(2/33). Let g = 13 - d. Let -9*u**4 - 7*u - u + 28*u**g - 22*u**4 + 3*u**4 + 8*u**3 = 0. Calculate u.
-1, 0, 2/7, 1
Find p, given that 25*p + 49/2 + 1/2*p**2 = 0.
-49, -1
Let -6*o**2 + 27*o**4 - 1 - 46*o**4 + 4 + 22*o**4 = 0. What is o?
-1, 1
Let u = 7201/5 + -1436. Factor -3*z**3 + 24/5*z - u*z**2 + 12/5.
-3*(z - 1)*(z + 2)*(5*z + 2)/5
Let w = 12133 + -12133. Determine q, given that w*q + 2/15*q**2 - 8/15 = 0.
-2, 2
Let m(x) be the third derivative of -x**6/120 + 13*x**5/30 + x**4/24 - 13*x**3/3 + x**2 + 93*x. Factor m(t).
-(t - 26)*(t - 1)*(t + 1)
Let t(l) = -l**3 + 17*l**2 - 11*l - 32. Let f be t(16). Let y be -2 - 1/1 - (-204)/f. Determine p, given that 3/4*p + 1/2 - y*p**2 = 0.
-2/5, 1
Let n = -66/13 - -102/13. Suppose -52*c + 30 = 3*f - 57*c, -5*c = 4*f - 5. Suppose -44/13*x**2 - 6/13 - 14/13*x**4 - 2*x - n*x**3 - 2/13*x**f = 0. What is x?
-3, -1
Let w(f) be the third derivative of f**5/60 - 11*f**4/24 - 2*f**3 - 85*f**2. Factor w(g).
(g - 12)*(g + 1)
Let j be 3662/2*(-1)/7. Let w = 262 + j. Factor -w*p**3 - 15/7*p - 12/7*p**2 - 6/7.
-3*(p + 1)**2*(p + 2)/7
Let g(j) be the first derivative of -j**9/168 - j**8/28 - 13*j**7/420 + j**6/9 - j**5/15 - 7*j**3/3 - 6. Let a(r) be the third derivative of g(r). Factor a(q).
-2*q*(q + 2)**2*(3*q - 1)**2
Let j = 8 + -27. Let d = 21 + j. Suppose 5*m**2 + m**2 - 2*m**4 + d*m**3 - 2*m - 2*m**2 - 2*m**2 = 0. Calculate m.
-1, 0, 1
Solve 3/7*k**2 + 177/7 + 180/7*k = 0.
-59, -1
Let a(u) be the first derivative of -u**7/42 + u**6/12 + u**5/12 - 5*u**4/12 - 27*u**2/2 + 6. Let v(i) be the second derivative of a(i). Factor v(b).
-5*b*(b - 2)*(b - 1)*(b + 1)
Let y(t) = -22*t**3 - 25*t**2 - 29*t - 17. Let s(m) = 5*m**3 + 6*m**2 + 7*m + 4. Let n(a) = 18*s(a) + 4*y(a). Find c, given that n(c) = 0.
-2, -1
Suppose -o + 4*j = 8*j + 12, 3 = -4*o - j. Let u(i) be the second derivative of 1/2*i**3 + 5*i + o - 1/4*i**4 + 0*i**2. Factor u(k).
-3*k*(k - 1)
Suppose -15 = 3*g - 21. Find a such that -14*a + 4*a**g + 14*a - 35*a**5 - 39*a**4 = 0.
-1, -2/5, 0, 2/7
Solve 925/3*r**3 + 210*r**4 - 245/3*r**5 + 940/3*r - 710*r**2 - 40 = 0 for r.
-2, 2/7, 1, 3
Let r be 11/(-22) + 4/8. Factor 0*d + r + 1/5*d**2.
d**2/5
Suppose -2*o - 18 = o. Let p be -4*2*3/o. Find c, given that 3*c - 3*c**2 + 6*c**2 + p + 15*c + 23 = 0.
-3
Let g be (-2)/5*(-25)/4. Let h = -3798 - -7597/2. Let -g*w**2 + w + h - 3*w**3 = 0. Calculate w.
-1, -1/3, 1/2
Let m(i) be the third derivative of -i**6/30 + i**5/15 + 98*i**2. Factor m(r).
-4*r**2*(r - 1)
Let c(k) be the second derivative of 8*k + 1/2*k**2 + 0*k**3 + 1/12*k**4 + 0 + 1/60*k**5. Let d(f) be the first derivative of c(f). Factor d(a).
a*(a + 2)
Let h(b) = 4*b**2 - 24*b - 53. Let o be h(-2). Let p(t) be the third derivative of 0*t + 2/21*t**3 - 1/14*t**4 - 1/60*t**5 + 0 - o*t**2. Factor p(u).
-(u + 2)*(7*u - 2)/7
Let z = 4500 - 4498. Factor 0 + 2/13*s + 2/13*s**z.
2*s*(s + 1)/13
Factor 0 - 10*j - 32/3*j**2 - 2/3*j**3.
-2*j*(j + 1)*(j + 15)/3
Suppose -2*q + 35 = 119. Let p be q/(-63) + 10/3. Determine g so that p*g**2 - 8 - 2*g**2 + 0*g**2 + 6*g = 0.
-4, 1
Let t(a) = -11*a**2 - 13*a - 11. Let i(g) = -3 - 5*g**2 + 2 - 6*g - 7 + 3. Let n(y) = 9*i(y) - 4*t(y). Suppose n(u) = 0. Calculate u.
-1
Let u = 28 - 16. Suppose -2*r = -5*r + u. Find w, given that 1/3*w**2 - 2/3 + w - w**3 + 1/3*w**r = 0.
-1, 1, 2
Suppose -4*j = 6 + 66. Let h be (-45)/j*(0 - (-32)/70). Solve -4/7*i**4 + h*i**3 - 16/7 - 16/7*i + 12/7*i**2 = 0.
-1, 2
Let n(u) be the third derivative of -7*u**5/40 - 5*u**4/16 + u**3/2 - 2*u**2 + 18*u. Find h, given that n(h) = 0.
-1, 2/7
Factor 0 + 1/2*m**3 - 1/2*m**4 - 2*m + 2*m**2.
-m*(m - 2)*(m - 1)*(m + 2)/2
Let s(m) be the second derivative of 29*m**6/6 - 8*m**5 - 65*m**4/6 + 80*m**3/3 - 15*m**2/2 - 2*m - 49. What is k in s(k) = 0?
-1, 3/29, 1
Let c be 63/6 - 3/2. Let o be 2 + c/((-9)/(-2)). Let 10*n**3 + 12*n**2 - 6*n**o - 4*n + 10*n**4 - 22*n**3 = 0. What is n?
0, 1
Let s(k) be the third derivative of k**5/240 + k**4/48 - k**3/3 + k**2 + 3*k. Suppose s(g) = 0. Calculate g.
-4, 2
Let v(g) be the second derivative of 8/15*g**6 - 20*g + 2/3*g**4 + 0*g**2 + 2/21*g**7 + g**5 + 0*g**3 + 0. What is f in v(f) = 0?
-2, -1, 0
Determine k, given that -22/5*k - 2/5*k**3 + 12/5 + 12/5*k**2 = 0.
1, 2, 3
Let q(z) be the third derivative of -2/15*z**6 + 8/105*z**7 + 4/3*z**3 + 1/28*z**8 + 1/6*z**4 + 0*z + 0 - 26*z**2 - 2/5*z**5. Solve q(g) = 0.
-1, 2/3, 1
Let n(m) be the second derivative of -m**7/168 - 17*m**6/120 + 79*m**5/80 - 103*m**4/48 + 7*m**3/4 + m + 243. Suppose n(z) = 0. Calculate z.
-21, 0, 1, 2
Let t(x) be the second derivative of 7*x**7/18 + 119*x**6/90 - 4*x**5/3 - 46*x**4/9 + 56*x**3/9 - 8*x**2/3 - 74*x. Solve t(q) = 0.
-2, 2/7, 1
Suppose 4 = m + r, -10*m = -6*m + 3*r - 16. Let i(d) be the second derivative of 2/5*d**2 + d + 0 - 2/5*d**3 - 1/25*d**5 + 1/5*d**m. Factor i(b).
-4*(b - 1)**3/5
Factor -28*k + 4 + 21 - 114 - 31 + 4*k**2.
4*(k - 10)*(k + 3)
Let b be 6*(-4)/(-8) - (0 + (-9 - -12)). Find c such that -2/3*c**2 + b + 4/3*c = 0.
0, 2
Let p be 0*((-54)/12 - -5). Let k(q) be the second derivative of 0*q**2 - 1/21*q**3 + 1/21*q**4 - 1/70*q**5 + p + 6*q. Factor k(g).
-2*g*(g - 1)**2/7
Let u(f) be the second derivative of -5*f**7/21 - f**6/6 + 3*f**5/4 + 5*f**4/12 - 5*f**3/6 - 80*f. What is q in u(q) = 0?
-1, 0, 1/2, 1
Let u(i) be the first derivative of -8/3*i + 28/9*i**3 - 10/3*i**2 - 15. Find s, given that u(s) = 0.
-2/7, 1
Suppose -1988*c + 2030*c = 84. Factor -12 + 3*q**c + 3/2*q**3 - 6*q.
3*(q - 2)*(q + 2)**2/2
Let i(b) be the first derivative of -1/4*b**4 - 18*b - 8/3*b**3 - 21/2*b**2 - 26. Suppose i(j) = 0. Calculate j.
-3, -2
Let y = -45259/7 + 6466. Factor -6/7*k - 9/7 + y*k**2.
3*(k - 3)*(k + 1)/7
Let l(k) be the first derivative of k**7/840 - k**6/90 + k**5/40 - 8*k**3 + 8. Let y(s) be the third derivative of l(s). Factor y(f).
f*(f - 3)*(f - 1)
Let y(h) = 5*h + 66. Let g be y(-5). Suppose 57*x = g*x. Factor x - n**4 - 1/2*n**3 + 0*n + n**2 + 1/2*n**5.
n**2*(n - 2)*(n - 1)*(n + 1)/2
Let c(f) be the second derivative of -f**5/12 + 25*f**4/24 - 10*f**3/3 - 6*f**2 - 23*f. Let y(u) be the first derivative of c(u). Factor y(s).
-5*(s - 4)*(s - 1)
Suppose 0 = 5*g - 20, -106*x + 28 = -102*x + g. Let y(m) be the second derivative of 0 - x*m + 0*m**3 + 1/96*m**4 - 1/4*m**2. Let y(z) = 0. What is z?
-2, 2
Let r(o) be the third derivative of -25*o**7/1512 + 5*o**6/216 - o**5/72 - o**4/4 + 10*o**2. Let v(q) be the second derivative of r(q). Factor v(z).
-5*(5*z - 1)**2/3
Let h(n) be the first derivative of 2*n**3/45 - 7*n**2 + 767. Suppose h(m) = 0. Calculate m.
0, 105
Suppose 0 = 35*s - 44*s + 65 - 20. Solve 0 + 2/5*f**s - 2*f - 12/5*f**4 + 8/5*f**3 + 12/5*f**2 = 0 for f.
-1, 0, 1, 5
Let g(s) be the first derivative of 1/42*s**7 + 0*s**2 + 4 + 0*s**4 + 0*s**3 + 1/30*s**6 + 0*s**5 + 3*s. Let j(v) be the first derivative of g(v). Factor j(b).
b**4*(b + 1)
Let c be (54/15)/(((-490)/100)/(-7)). Factor -162/7 + c*b - 2/7*b**2.
-2*(b - 9)**2/7
Find f such that -2/3*f**4 - 20/3*f + 0 + 20/3*f**3 + 2/3*f**2 = 0.
-1, 0, 1, 10
Let r(b) = 2*b**2 - 235*b - 3367. Let u(h) = -234*h - 3366. Let g(m) = 2*r(m) - 3*u(m). Solve g(q) = 0 for q.
-29
Let v(y) be the second derivative of 1/80*y**5 + 9/8*y**2 + y + 0 - 1/48*y**4 - 3/8*y**3. Suppose v(s) = 0. What is s?
-3, 1, 3
Let h(s) = 4*s - 14. Let l be h(4). Let k be l - (2 - 21/35). Factor 3/5 - 9/5*y - k*y**3 + 9/5*y**2.
-3*(y - 1)**3/5
Suppose 25*l + 16 = 103 - 37. Factor -1/3*v**3 - 3 + 1/3*v**l + 3*v.
-(v - 3)*(v - 1)*(v + 3)/3
Let j be -2 + -5 + (-37)/(-5). Let y(o) be the second derivative of 0 + o + 0*o**4 + j*o**5 - 2/15*o**6 + 2*o**2 - 4/3*o**3. Factor y(x).
-4*(x - 1)**3*(x + 1)
Let r(w) be the first derivative of -5*w**7/147 + w**6/35 + 6*w**5/35 + 2*w**4/21 - 4*w - 16. Let l(p) be the first derivative of r(p). Solve l(z) = 0 for z.
-1, -2/5, 0, 2
Suppose 16*p - 114 = -34. Let r(j) be the first deriv