/30 + l**4/6 + 97*l**2. Determine u so that d(u) = 0.
-1, 0, 1, 2
Let u(q) = q + 3. Let w be u(-13). Let f = w - -13. Factor 58 - 58 + 2*o**f - 6*o**2.
2*o**2*(o - 3)
Let z be (-14)/(-4) - 2/(-4). Factor -2*x**2 + 0*x**3 + 2*x**3 + x**3 - z*x**3.
-x**2*(x + 2)
Let y(v) be the first derivative of -v**6/120 + v**5/20 - v**4/8 - 2*v**3 + 3. Let z(h) be the third derivative of y(h). Factor z(p).
-3*(p - 1)**2
Let d(i) be the first derivative of 20/39*i**3 - 4/13*i + 13 + 1/13*i**2. Let d(h) = 0. What is h?
-1/2, 2/5
Find b such that 360*b + 3*b**3 + 2448*b**2 - 432 + 0*b**3 - 2379*b**2 = 0.
-12, 1
Suppose 24 = 3*c - 24. Suppose -c*q = -14*q - 4. Factor 0 - 3/7*o + 3/7*o**q.
3*o*(o - 1)/7
Suppose 5*j + 4 = 9. Let v be ((-2)/1)/(j/(-2)). Solve 1 - 2 - 6*k**2 + 3*k - k**v - 7*k - 4*k**3 = 0.
-1
Let q(u) be the second derivative of u**5/120 - u**4/24 - u**3/36 + u**2/4 + 7*u - 15. Factor q(r).
(r - 3)*(r - 1)*(r + 1)/6
Let b(r) = -5*r**2 - 6*r. Let p(l) be the third derivative of 3*l**5/20 + 11*l**4/24 - 124*l**2. Let i = -17 + 6. Let u(j) = i*b(j) - 6*p(j). Factor u(y).
y**2
Let x(h) be the first derivative of h**3/12 - 3*h**2/8 + h/2 - 32. Factor x(n).
(n - 2)*(n - 1)/4
Let k(p) be the second derivative of 0 - 3/4*p**4 + 0*p**2 - p**3 - 18*p. Solve k(o) = 0 for o.
-2/3, 0
Suppose -162 = -8*u + 678. Let c = u + -103. Determine a, given that 0*a + 3/4*a**c + 0 - 3/4*a**3 = 0.
0, 1
Factor 44/9*q + 4/9*q**2 + 0.
4*q*(q + 11)/9
Solve 22*m**2 + 3*m**3 - 2*m**4 + 283 + m**3 - 283 - 24*m = 0 for m.
-3, 0, 1, 4
Let -4/3*w**2 - 4/3*w - 5/3*w**4 + 0 + 13/3*w**3 = 0. What is w?
-2/5, 0, 1, 2
Suppose 4 = 4*p - 4. Find n, given that p*n**4 - 22*n**3 + 28*n**3 - 5*n**4 = 0.
0, 2
Let a(y) be the third derivative of 0*y + 0 - 16*y**2 - 1/320*y**6 + 1/16*y**4 + 0*y**3 + 0*y**5. Let a(v) = 0. Calculate v.
-2, 0, 2
Let a(v) = -2*v + 7. Let k = -10 + 10. Let f be a(k). Solve 4*c**3 + 12*c - f*c**3 - 2*c**3 - 4*c**3 - 3*c**4 = 0.
-2, 0, 1
Suppose 5*c + 4*g = 4*c + 6, -3 = -3*g. Factor 2 + 2*y**3 - y**2 - 2 + 2*y - 3*y**c.
2*y*(y - 1)**2
Let k(l) be the third derivative of -l**6/840 + l**5/60 - l**4/28 + 46*l**2. Solve k(q) = 0.
0, 1, 6
Let b = 50186 + -401473/8. Factor -3/2*o + 3/8*o**2 - b.
3*(o - 5)*(o + 1)/8
Let w(z) be the second derivative of z**7/84 - 11*z**6/60 + 43*z**5/40 - 73*z**4/24 + 14*z**3/3 - 4*z**2 + 54*z - 1. Factor w(h).
(h - 4)**2*(h - 1)**3/2
Suppose 8*j = j + 35. Factor -30 - 4*q**3 + j*q + 2 + 2*q + 28*q**2 - 3*q.
-4*(q - 7)*(q - 1)*(q + 1)
Let o = -8096 + 40488/5. Suppose -2/5*b**3 - 2*b - 4/5 - o*b**2 = 0. What is b?
-2, -1
Factor -7019*r**3 + 7035*r**3 + 18*r**2 - 4*r**5 + 14*r**2 - 8*r**4.
-4*r**2*(r - 2)*(r + 2)**2
Let d(o) = -o**3 - o**2 + o + 4. Suppose 0 = -n + 2*p - 6, -5*n + n - p = -3. Let m be d(n). Factor 234/19*z**3 - 80/19*z**2 - 162/19*z**m + 0 + 8/19*z.
-2*z*(z - 1)*(9*z - 2)**2/19
Let t(c) be the second derivative of 0*c**2 - 1/6*c**6 + 4*c - 5/6*c**3 + 1/4*c**5 + 0 + 5/12*c**4. Factor t(i).
-5*i*(i - 1)**2*(i + 1)
Let r be ((-11)/10 - (-40)/100)*36/(-63). Factor 0 + 4/5*p - r*p**2.
-2*p*(p - 2)/5
Let t be (((-63)/(-70))/(-9))/((-24)/(-255)). Let h = 149/80 + t. Find w, given that 26/5*w**3 + 0*w + 8*w**4 + h*w**2 + 0 + 18/5*w**5 = 0.
-1, -2/9, 0
Let y = -13 + 21. Factor -l**4 + y*l**2 - 3*l**3 - 2*l**2 - l**4 + 3*l**5 - 4*l**4.
3*l**2*(l - 2)*(l - 1)*(l + 1)
Let v(l) be the second derivative of -l**5/45 - 62*l**4/27 - 1922*l**3/27 - 846*l. Factor v(o).
-4*o*(o + 31)**2/9
Factor 68*i - 23*i**4 - 40*i + 19*i**4 - 60*i**2 + 36*i**3.
-4*i*(i - 7)*(i - 1)**2
Let z(t) be the second derivative of t**5/30 - 5*t**4/9 + 25*t**3/9 + 19*t + 2. Find g, given that z(g) = 0.
0, 5
Let p(m) = -14*m**2 - 8*m + 6. Let o(t) = 14*t**2 + 7*t - 7. Let s = -17 + 23. Let h(d) = s*p(d) + 4*o(d). Factor h(k).
-4*(k + 1)*(7*k - 2)
Solve 1/8*b**2 + 0 - 1/8*b**3 + 1/4*b = 0.
-1, 0, 2
Factor -40*k**2 + 19990*k**3 + 190*k + 642 - 19988*k**3 - 158 - 36*k.
2*(k - 11)**2*(k + 2)
Let l(g) be the second derivative of -g**5/120 - 2*g**2 + 15*g. Let t(b) be the first derivative of l(b). Factor t(y).
-y**2/2
Suppose 0 = 2*r - 5*u + 9, 0*r + r + 2*u = 9. Factor -r*s**3 + 0*s**3 + 13*s**4 + 4*s**2 - 15*s**4 + s**3.
-2*s**2*(s - 1)*(s + 2)
Let n(m) be the first derivative of m**6/27 - 2*m**5/45 - 2*m**4/3 + 32*m**3/27 + 32*m**2/9 - 32*m/3 + 52. Factor n(r).
2*(r - 2)**3*(r + 2)*(r + 3)/9
Let n(r) be the third derivative of r**6/480 + 29*r**5/240 + 247*r**4/96 + 169*r**3/8 + 27*r**2 + 4. Let n(o) = 0. What is o?
-13, -3
Let v(p) be the third derivative of -8*p**2 - 1/60*p**6 + 0*p**3 + 0*p + 0 - 1/3*p**4 + 2/15*p**5. Determine u so that v(u) = 0.
0, 2
Let z(d) = 11*d**2 - d - 2. Let p = 39 - 37. Let m be z(p). Determine g so that -40 - g**5 + g**4 + m = 0.
0, 1
Let z(o) be the second derivative of -o**6/240 - o**5/80 - o**4/96 - 28*o. Factor z(l).
-l**2*(l + 1)**2/8
Solve -4/7*z**2 + 0*z + 26/7*z**3 + 0 - 22/7*z**4 = 0.
0, 2/11, 1
Let -178/13*j**2 + 164/13 + 14/13*j**4 - 570/13*j + 570/13*j**3 = 0. What is j?
-41, -1, 2/7, 1
Let z(l) = 29*l**4 + 9*l**3 + 24*l**2 - 40*l - 83. Let q(n) = 25*n**4 + 9*n**3 + 23*n**2 - 39*n - 84. Let t(d) = -7*q(d) + 6*z(d). Let t(w) = 0. Calculate w.
-5, -3, 2
Let t be ((-3)/(-14))/(12/(-1680)*-10). What is a in 0 + 1/2*a**2 + 1/5*a + 3/10*a**t = 0?
-1, -2/3, 0
Let q(n) be the third derivative of 0*n - 1/6*n**5 + 20*n**2 - 1/24*n**6 + 5/3*n**3 + 0 + 5/24*n**4. Factor q(m).
-5*(m - 1)*(m + 1)*(m + 2)
Let w(p) = 156*p + 3432. Let t be w(-22). Let 4/9*u - 2/9*u**2 + t = 0. What is u?
0, 2
Let g = -4 - -14. Let f = g + -5. Factor -4*m - 14 - 4*m**2 + f + 4*m**3 + 13.
4*(m - 1)**2*(m + 1)
Let y(b) = -6*b**5 + 2*b**4 + 2*b**3 - b**2 + 5*b. Let k(m) = -5*m**5 + m**4 + m**3 - m**2 + 4*m. Let o(c) = -5*k(c) + 4*y(c). Let o(r) = 0. Calculate r.
-1, 0
Let a = 117 + -117. Let w(s) be the third derivative of 1/240*s**5 + 0*s - 1/24*s**3 + a*s**4 + 0 - 4*s**2. Suppose w(m) = 0. What is m?
-1, 1
Let a = 229/2 + -1141/10. Factor 0*t - 2/5*t**2 + a.
-2*(t - 1)*(t + 1)/5
Let m(k) be the first derivative of -3*k**4/4 - 21*k**3 - 108*k**2 + 1296*k + 536. Factor m(r).
-3*(r - 3)*(r + 12)**2
Let f(l) = l**2 - 6*l + 24. Let y be f(10). Find c, given that 22*c**4 - y*c + 5*c**3 + 10*c**4 - 128*c**2 + 11*c**5 - 37*c**3 + c**5 = 0.
-2, -2/3, 0, 2
Let m(h) be the second derivative of h**5/80 - h**4/32 - h**3/4 - 5*h**2 + 7*h. Let j(b) be the first derivative of m(b). Determine t so that j(t) = 0.
-1, 2
Factor 2/3*v**3 + 0 - 4*v**2 + 0*v.
2*v**2*(v - 6)/3
Let j(v) be the first derivative of -7*v**6/2 - 48*v**5/5 - 3*v**4 + 14*v**3 + 33*v**2/2 + 6*v - 229. Let j(u) = 0. Calculate u.
-1, -2/7, 1
Suppose -4*f = -2*f - 38. Let p = f + -16. What is g in 6*g**3 - 3*g - 3*g**5 + 0*g**5 + g**p - g**3 = 0?
-1, 0, 1
Let j(v) = v**3 - 27*v**2 + 30*v - 44. Let h be j(26). Let u = h - 479/8. Find c, given that -u*c**3 + 0 + 1/8*c**2 + 0*c = 0.
0, 1
Factor -4/3*u**4 - 97/3*u**2 - 16/3 - 24*u - 12*u**3.
-(u + 4)**2*(2*u + 1)**2/3
Let x(m) be the first derivative of -23 - 24*m + 4/3*m**3 + 2*m**2. Factor x(g).
4*(g - 2)*(g + 3)
Let r(h) = 7*h - 12. Let t be r(2). Find g such that -510*g**4 - 29*g**3 + 86*g**t - 147*g**3 + 26*g**4 + 176*g + 382*g**2 + 16 = 0.
-1, -2/11, 1
Let w(s) be the third derivative of 277/24*s**6 + 0 + 19/3*s**7 + 35/48*s**8 + 0*s + 15/2*s**4 - 20*s**2 + 0*s**3 - 19*s**5. Factor w(r).
5*r*(r + 3)**2*(7*r - 2)**2
Suppose 42*b = 34*b + 24. Let t(u) be the second derivative of 0 + 10*u + 1/10*u**6 - 1/4*u**5 + 5/6*u**b - 1/12*u**4 - u**2. Determine h, given that t(h) = 0.
-1, 2/3, 1
Suppose 4/3*j**2 + 2/3*j**3 - 8/3*j - 16/3 = 0. Calculate j.
-2, 2
Let h(c) be the third derivative of 0 + 1/280*c**6 - 3/70*c**5 - 2/7*c**3 + 9/56*c**4 + 0*c - 6*c**2. Find k, given that h(k) = 0.
1, 4
Let t = 540 + -537. Let o(d) be the first derivative of -6 + 1/6*d**4 + 0*d**t - 1/3*d**2 + 0*d. What is s in o(s) = 0?
-1, 0, 1
Let z(y) = y**4 - 7*y**3 + 7*y**2 + 7*y. Let v(o) = 3*o**3 - 3*o**2 - 3*o. Suppose -6*f = -9*f - 21. Let i(n) = f*v(n) - 3*z(n). Factor i(s).
-3*s**4
Solve 156/7*i**3 + 272/7*i - 40/7*i**4 + 4/7*i**5 - 296/7*i**2 - 96/7 = 0 for i.
1, 2, 3
Let r(u) be the first derivative of -u**5/12 - 11*u**4/18 - 4*u**3/9 + 16*u - 1. Let x(v) be the first derivative of r(v). 