t o(c) = 0. What is c?
-1, 1
Let j be 7/3 + ((-861)/9)/41. Suppose 0*u + 6*u**2 + 10*u**3 + j + 14/3*u**4 + 2/3*u**5 = 0. Calculate u.
-3, -1, 0
Let w(i) be the third derivative of -i**8/1680 + 4*i**7/75 + 29*i**6/300 - 14*i**5/75 - 19*i**4/40 + 6*i**2 - 10*i. Find k, given that w(k) = 0.
-1, 0, 1, 57
Let i(x) be the third derivative of 5*x**6/24 - 17*x**5/12 + 5*x**4/4 - 40*x**2. Factor i(g).
5*g*(g - 3)*(5*g - 2)
Let t = -48 - -52. Let -6*m**5 - 8*m**3 + 2*m**5 + 12*m**t + 0*m**5 = 0. What is m?
0, 1, 2
Let c(g) be the second derivative of g**5/4 + 95*g**4/6 + 1805*g**3/6 - 161*g. Factor c(t).
5*t*(t + 19)**2
Let l(k) be the first derivative of -3*k**4/4 + 18*k**3 - 99*k**2/2 - 1452*k - 34. Find d, given that l(d) = 0.
-4, 11
Let c(z) be the third derivative of 47*z**2 + 1/285*z**6 + 0 + 0*z + 1/76*z**4 - 1/456*z**8 + 7/285*z**5 - 4/665*z**7 - 2/57*z**3. Find l such that c(l) = 0.
-1, 2/7, 1
Let w = 45 - 43. Let n(s) = -s**3 + s**2 + s - 1. Let v(o) = -3*o**3 + 2*o**2 + 2*o - 2. Let x(l) = w*n(l) - v(l). Determine b so that x(b) = 0.
0
Let o be (-51)/252 + 2*(-3)/(-21). Let u(s) be the first derivative of -3 - o*s**2 + 1/18*s**3 + 0*s. Factor u(i).
i*(i - 1)/6
Let w(s) be the first derivative of -4/5*s + 2 - 2/25*s**5 + 2/5*s**3 + 1/5*s**2 - 1/10*s**4. Suppose w(v) = 0. What is v?
-2, -1, 1
Let d = 35 - 27. Suppose x - d + 8 = 0. Factor x*l**2 + 3/5*l + 2/5 - 1/5*l**3.
-(l - 2)*(l + 1)**2/5
Let v(n) be the first derivative of 1/5*n**3 + 11 + 1/20*n**4 + 1/30*n**6 - 3/25*n**5 + 0*n - 1/5*n**2. Solve v(m) = 0.
-1, 0, 1, 2
Suppose -3*w + 3 = -12. Suppose -6*j + 4*j = w*o - 2, -2*o + 5 = 5*j. Solve 2/13*x**5 + 16/13*x**2 + 0*x + o + 24/13*x**3 + 12/13*x**4 = 0.
-2, 0
Let d(u) be the second derivative of -u**8/40320 + u**7/2520 - 17*u**4/6 + 16*u. Let n(a) be the third derivative of d(a). Factor n(z).
-z**2*(z - 6)/6
Solve 0 - 18/7*f + 36/7*f**3 - 18/7*f**5 + 48/7*f**4 - 48/7*f**2 = 0 for f.
-1, -1/3, 0, 1, 3
Let d be 29/(-145) + (-44)/105. Let n = 1/21 - d. Find h, given that -n*h**2 - 2*h - 4/3 = 0.
-2, -1
Let x(i) be the third derivative of i**5/180 - i**4/4 + 9*i**3/2 - 29*i**2. Factor x(d).
(d - 9)**2/3
Let u = -45 + 50. What is q in -20*q - 20*q**2 - 1 + 1 - u*q**3 = 0?
-2, 0
Let p(c) be the second derivative of 1/180*c**5 + 1/180*c**6 + 0 + 4/3*c**3 + 2*c + 0*c**2 + 0*c**4. Let f(y) be the second derivative of p(y). Factor f(l).
2*l*(3*l + 1)/3
Let h(f) be the third derivative of 0*f**5 + 5/6*f**3 - 5/12*f**4 + 1/12*f**6 - f**2 + 0 + 0*f - 1/42*f**7. Factor h(s).
-5*(s - 1)**3*(s + 1)
Let w(m) = -m**3 - 9*m**2 - 7*m + 10. Let k be w(-8). Factor -20*x - 2 + k + 0*x - 5*x**2.
-5*x*(x + 4)
Let l = 1723/7 - 14639/63. Let i = -544/63 + l. Factor 4*b - i*b**2 - 4/7*b**4 - 8/7 + 20/7*b**3.
-4*(b - 2)*(b - 1)**3/7
Let g = 123/38 + -33/19. Factor -3/4 - 3/4*i**2 + g*i.
-3*(i - 1)**2/4
Let x = -920 - -924. Let a(r) be the first derivative of -6 + 1/2*r**2 - 3/5*r**5 - 1/4*r**x + 5/3*r**3 - 2*r. Factor a(h).
-(h - 1)*(h + 1)**2*(3*h - 2)
Let v(t) = -2*t**2 - 15*t + 8. Let y = -102 - -94. Let k be v(y). Determine r, given that -3/4*r**3 + 3/4*r**5 - 3/4*r**2 + k + 0*r + 3/4*r**4 = 0.
-1, 0, 1
Let b(v) = v**2 - 1. Let j(c) = -12*c**2 + 99*c + 111. Let k(s) = -9*b(s) - j(s). Factor k(d).
3*(d - 34)*(d + 1)
Let o(v) be the second derivative of v**7/231 - v**6/33 - v**5/55 + 7*v**4/11 - 21*v**3/11 + 27*v**2/11 - 4*v - 51. Suppose o(f) = 0. What is f?
-3, 1, 3
Suppose 5*y = -v + 20, -12 + 2 = -2*v. Let w(q) be the third derivative of -1/180*q**5 + 0*q**4 + 1/18*q**y + 0*q + 0 + 8*q**2. Find c, given that w(c) = 0.
-1, 1
Let m(o) be the third derivative of 0*o - o**2 - 1/260*o**6 + 0 + 1/26*o**4 - 7/390*o**5 + 0*o**3. Factor m(q).
-2*q*(q + 3)*(3*q - 2)/13
Suppose -6*z + 3*z + 16 = 2*g, 4*z + g = 28. Let j(m) be the first derivative of -z + 2/7*m + 4/21*m**3 + 3/7*m**2. Factor j(o).
2*(o + 1)*(2*o + 1)/7
Let h(o) = -2*o**2 - 3*o + 3. Let j(t) = -t - 8*t**2 + 1 + 3*t**2 + 9*t**2 - 5*t**2. Suppose 2*a + 3*a + 30 = 0. Let f(k) = a*j(k) + 2*h(k). Factor f(u).
2*u**2
Let t(m) be the first derivative of -m**6/180 - m**5/60 - 8*m**3 - 10. Let n(d) be the third derivative of t(d). Factor n(k).
-2*k*(k + 1)
Let j(f) = 34*f - 68. Let q be j(2). Find c, given that q + 1/2*c**3 - 1/2*c + 0*c**2 = 0.
-1, 0, 1
Let g be 3/(18/10) - ((-598)/(-138))/(-13). Let x be (-15)/2*(-3)/15. Factor 0*z - z**4 - x*z**3 + 1/2*z**5 + 0*z**g + 0.
z**3*(z - 3)*(z + 1)/2
Let l(u) be the first derivative of -u**7/9240 - u**6/1980 - u**5/1320 - 14*u**3/3 + 13. Let z(x) be the third derivative of l(x). Factor z(i).
-i*(i + 1)**2/11
Let k(n) = 34*n + 138. Let c be k(-4). Let r(f) be the third derivative of 0 - 2/9*f**3 + 7*f**c + 1/36*f**4 + 1/90*f**5 + 0*f. Let r(a) = 0. What is a?
-2, 1
Suppose 11*g - 25 = 19. Let o(q) be the second derivative of 0*q**3 + 0 + 1/12*q**g - 1/4*q**2 - 1/60*q**6 + 4*q + 0*q**5. Factor o(k).
-(k - 1)**2*(k + 1)**2/2
Let n(k) be the second derivative of -k**7/126 - k**6/9 + 2*k**5/5 - 4*k + 2. What is b in n(b) = 0?
-12, 0, 2
Let p(r) = -3*r**4 - 29*r**3 + 108*r**2 - 211*r + 167. Let x(w) = -w**4 - 14*w**3 + 54*w**2 - 106*w + 83. Let a(v) = -2*p(v) + 5*x(v). Factor a(i).
(i - 3)**4
Factor 4*j**3 + 2*j**4 + 10/3*j**2 + 0 + j + 1/3*j**5.
j*(j + 1)**3*(j + 3)/3
Let z(h) = 7*h**2 - 82*h + 24. Let b(l) = 6*l**2 - 81*l + 18. Let p(r) = -4*b(r) + 3*z(r). Factor p(u).
-3*u*(u - 26)
Let m = 1769 + -1769. Let f(r) be the second derivative of 11*r - 4/3*r**3 + 0 + m*r**2 + 1/3*r**4. Factor f(j).
4*j*(j - 2)
Let c = 59 + -766/13. Let a(x) be the second derivative of 2/39*x**3 - 1/78*x**4 + 0 - c*x**2 - 3*x. Factor a(g).
-2*(g - 1)**2/13
Factor -99 - 5*m**4 + 652*m - 710*m**2 + 100*m**3 - 2106 + 1448*m.
-5*(m - 7)**2*(m - 3)**2
Suppose 30*a**5 + 1579*a**2 + 8 + 290*a**3 + 88*a + 154*a**4 + 1 - 1333*a**2 - 1 = 0. What is a?
-2, -1, -2/15
Suppose -1/3*z**3 + 25/3*z + 4 + 13/3*z**2 - 1/3*z**4 = 0. Calculate z.
-3, -1, 4
Let c(o) be the first derivative of o**4/26 + 56*o**3/39 - 59*o**2/13 + 60*o/13 - 65. Find j such that c(j) = 0.
-30, 1
Find n, given that -2/9*n**2 - 53138/9 + 652/9*n = 0.
163
Factor -4*v**4 + 4*v**2 + v**2 + 0*v**3 - 4*v - v**2 + 4*v**3.
-4*v*(v - 1)**2*(v + 1)
Let w be 1*(3 - (-4)/4). Let z(d) = d**3 - 4*d**2 + 2*d - 3. Let k be z(w). Factor 8*c - 5*c**2 - 4*c**2 + c**3 + 5*c**2 - k*c**3.
-4*c*(c - 1)*(c + 2)
Let x(l) be the third derivative of l**5/100 + 3*l**4/10 + 18*l**3/5 - l**2 + 35*l. Factor x(o).
3*(o + 6)**2/5
Let k be 5*(-6)/(-9)*9/2. Let p be 3/(-5)*(0 - k)/3. Let 3/2*y**2 + 0*y + 0 - 3*y**p + 3/2*y**4 = 0. Calculate y.
0, 1
Let y(n) be the third derivative of n**6/1080 - n**5/15 - n**4/216 + 2*n**3/3 - 28*n**2 - n. Determine v, given that y(v) = 0.
-1, 1, 36
Let u(w) be the first derivative of 2*w**6/3 + 128*w**5/5 + 59. Suppose u(r) = 0. What is r?
-32, 0
Let m(w) be the third derivative of w**6/24 - 7*w**5/12 + 5*w**4/3 + 40*w**3/3 + w**2 + 43. Suppose m(k) = 0. What is k?
-1, 4
Let q(w) be the first derivative of -w**8/840 + w**7/525 + 11*w**2/2 - 12. Let i(n) be the second derivative of q(n). Factor i(c).
-2*c**4*(c - 1)/5
Let r(f) be the first derivative of 4*f**3/15 - 16*f**2/5 + 28*f/5 - 251. What is z in r(z) = 0?
1, 7
Let w(a) be the first derivative of a**7/350 - a**6/40 + a**5/25 + 2*a**2 - 2. Let k(o) be the second derivative of w(o). Factor k(t).
3*t**2*(t - 4)*(t - 1)/5
Let y(m) be the third derivative of m**7/42 + 13*m**6/24 - 31*m**5/12 - 65*m**4/24 + 25*m**3 + 644*m**2. Suppose y(c) = 0. What is c?
-15, -1, 1, 2
Suppose 0*w = 3*w - 9. Suppose -4*f + 15 = 3*k, 0 = 2*f - 4*k + w*k - 5. Factor f - 1/3*d**3 - d - 5/3*d**2.
-(d - 1)*(d + 3)**2/3
Let h be (2 - -1)/((-15)/120*-36). Find b, given that 0 + 2/3*b**2 + h*b = 0.
-1, 0
Factor a - 37*a + 4*a - 3*a**2 - 8*a - 3*a**2.
-2*a*(3*a + 20)
Let v(l) be the first derivative of l**5/40 - 11*l**4/32 + 3*l**3/8 + 11*l**2/16 - 5*l/4 + 170. Factor v(f).
(f - 10)*(f - 1)**2*(f + 1)/8
Solve -48/5*x**2 - 4/5*x**3 - 192/5*x - 256/5 = 0.
-4
Let q be 21/3 - ((-675)/(-63) + (-11 - -7)). Suppose 4/7*z**3 - 4/7*z - q*z**2 + 0 + 2/7*z**4 = 0. Calculate z.
-2, -1, 0, 1
Let h(n) be the first derivative of n**5/5 - 5*n**4/4 + 2*n**3 + 309. Factor h(y).
y**2*(y - 3)*(y - 2)
Let a(t) be the first deriva