t derivative of -4*s**3/3 - 4*s**2 + 12*s - 77. Factor l(o).
-4*(o - 1)*(o + 3)
Let n(t) be the second derivative of -t**7/399 + 2*t**6/95 - 9*t**5/190 + 2*t - 4. Factor n(b).
-2*b**3*(b - 3)**2/19
Let q(v) be the third derivative of 0*v - 3/35*v**5 - 1/490*v**7 + 1/7*v**4 + 3/140*v**6 - 19*v**2 + 0 + 0*v**3. Factor q(n).
-3*n*(n - 2)**3/7
Suppose 23*d - 25*d + 18 = 0. Let c be 12/d*(-15)/(-70). What is s in -6/7*s + c*s**3 + 0*s**2 + 4/7 = 0?
-2, 1
Let q = 3072/7 - 33736/77. Let a be (0 + -1)/22*-8. Factor -2/11 - a*o - q*o**3 + 14/11*o**2.
-2*(o - 1)**2*(4*o + 1)/11
Solve -41/6*i - 10/3 + 1/6*i**4 - 7/2*i**2 + 1/6*i**3 = 0.
-4, -1, 5
Let c be 6/2*100/232. Let b = 6/29 + c. Factor b*l**2 + 1/2*l**3 - 1/2*l**4 - 1 - 1/2*l.
-(l - 2)*(l - 1)*(l + 1)**2/2
Let x(c) be the first derivative of -16/3*c - 1 - 4/3*c**2 - 1/9*c**3. Factor x(t).
-(t + 4)**2/3
Suppose -w = 2*k - 62, -2*w = 2*w - k - 221. Let d = w - 53. Factor -2/11 + 2/11*j**2 - 2/11*j + 2/11*j**d.
2*(j - 1)*(j + 1)**2/11
Let a(d) = 23*d - 7. Let b be a(-2). Let o = 116 + b. Factor -2*k**2 + 0*k**2 + 4*k - 65 + o.
-2*(k - 1)**2
Suppose -37 = 2*n - 35. Let w(s) = -5*s**3 + s**2 + s. Let h be w(n). Suppose -h*o**3 + 1/2 + 6*o**2 + 3/2*o**4 - 3*o = 0. What is o?
1/3, 1
Let b(n) be the third derivative of n**7/560 + n**6/80 - n**5/40 - n**4/4 + 19*n**2. Factor b(f).
3*f*(f - 2)*(f + 2)*(f + 4)/8
Let w be 0 + 1 + (7 - 3 - 5). Let t be 2/3 - (-2)/(-12). Factor -1/2*l**4 + 0*l + t*l**2 + w + 0*l**3.
-l**2*(l - 1)*(l + 1)/2
Factor -1/3*w**2 + 107/3*w - 106/3.
-(w - 106)*(w - 1)/3
Let j(y) = 8*y**4 + 64*y**3 - 136*y**2 + 100*y - 10. Let w(r) = r**4 + 7*r**3 - 15*r**2 + 11*r - 1. Let c(o) = -6*j(o) + 52*w(o). Suppose c(v) = 0. What is v?
1, 2
Let w(c) = c**3 - 10*c**2 - 11*c. Let k(u) = -2*u**3 + 21*u**2 + 24*u + 1. Let p(q) = -6*k(q) - 13*w(q). What is r in p(r) = 0?
-1, 2, 3
Suppose 17*z - 10*z + 763 = 0. Let x = z + 109. Factor -1/2*i + x - 5*i**3 - 13/4*i**2.
-i*(4*i + 1)*(5*i + 2)/4
Let c(a) be the first derivative of 11 + 3/2*a**2 + 21/5*a**5 + 57/4*a**4 - 6*a + 15*a**3. Factor c(f).
3*(f + 1)**3*(7*f - 2)
Suppose -70 = -3*u - n, 0 = u + u - n - 55. Let y be -6 + (5 - (-35)/u). Find v such that -1/5*v**2 - 1/5 + y*v = 0.
1
Let f(p) = -6*p**2 - 291*p - 295. Let v(m) = 3*m**2 + 144*m + 147. Let g(j) = -3*f(j) - 5*v(j). Find s such that g(s) = 0.
-50, -1
Let t(i) = -125*i - 123. Let y be t(-1). Let k(l) be the first derivative of -2*l**y + 2*l + 2/3*l**3 - 7. Factor k(a).
2*(a - 1)**2
Find m, given that 900*m**2 - m - 9*m + 15 - 905*m**2 = 0.
-3, 1
Let r(k) be the third derivative of k**8/1008 - k**7/630 - 13*k**6/360 + k**5/180 + 2*k**4/3 + 2*k**3 - 95*k**2. Let r(n) = 0. Calculate n.
-2, -1, 3
Let k(l) = -17*l**4 - 25*l**3 + 321*l**2 - 576*l - 9. Let t(g) = 4*g**4 + 6*g**3 - 80*g**2 + 144*g + 2. Let a(f) = -2*k(f) - 9*t(f). Factor a(n).
-2*n*(n - 3)**2*(n + 8)
Let q = 2/57 + 25/912. Let j(p) be the third derivative of q*p**4 + 0 + 19/80*p**6 + 9*p**2 - 1/20*p**7 - 3/8*p**5 + 0*p + 1/2*p**3. Find u such that j(u) = 0.
-2/7, 1
Factor 0*o + 174*o**3 + 0 + 38/3*o**4 + 2/9*o**5 - 1682/9*o**2.
2*o**2*(o - 1)*(o + 29)**2/9
Determine t so that -208*t**3 - 2/5*t**4 - 3515200*t - 40560*t**2 - 114244000 = 0.
-130
Let x**4 + 20*x**3 - 7*x + 11*x**2 - 25 + 13 - 13*x**3 = 0. What is x?
-4, -3, -1, 1
Factor 5/8 + 1/8*r**2 - 3/4*r.
(r - 5)*(r - 1)/8
Let a = 15248 + -60991/4. Factor 0*j - a*j**2 - 1/4*j**3 + 0.
-j**2*(j + 1)/4
Let m(k) = -4*k + 14. Let a be m(2). Let w be (-2)/(76/3)*(-16)/a. Factor -10/19*j**2 + 18/19*j + w.
-2*(j - 2)*(5*j + 1)/19
Let l = 44561/80 - 557. Let r(c) be the second derivative of 0 + c - 1/24*c**3 + 1/16*c**4 - 1/8*c**2 + l*c**5 - 1/60*c**6. Determine d so that r(d) = 0.
-1, -1/2, 1
Let v(a) be the first derivative of -a**6 - 2*a**5 + 7*a**4/2 + 6*a**3 - 4*a**2 - 8*a - 1. Find l, given that v(l) = 0.
-2, -1, -2/3, 1
Let v be (-1*1)/((-1)/(-2)) - 40832/(-19488). Suppose -2/7*w - v*w**2 + 0 = 0. Calculate w.
-3, 0
Let l = -18200 - -127406/7. Determine k, given that -3/7*k**3 + 0 - l*k**2 - 3/7*k = 0.
-1, 0
Let m(u) be the first derivative of u**4/4 - 10*u**3/9 + 3*u**2/2 - 2*u/3 + 44. Factor m(i).
(i - 2)*(i - 1)*(3*i - 1)/3
Let y(s) be the first derivative of 2*s**3/3 - 9*s**2 + 28*s + 73. Factor y(o).
2*(o - 7)*(o - 2)
Let i(l) be the first derivative of -5*l**2 - 2/5*l**5 + 4*l + 1/2*l**4 + 14 + 2*l**3. Determine m so that i(m) = 0.
-2, 1
Suppose -135 = -45*m + 45. Factor 12/7*s**2 + 2/7*s**m + 2/7 - 8/7*s**3 - 8/7*s.
2*(s - 1)**4/7
Let c(m) be the first derivative of m**7/210 + m**6/45 + m**5/30 + 5*m**3/3 + 2. Let d(w) be the third derivative of c(w). Factor d(p).
4*p*(p + 1)**2
Let b(a) = -5*a**2 + 23*a - 62. Let u(v) = 2*v**2 - 10*v + 20. Let y(n) = -3*b(n) - 8*u(n). Solve y(m) = 0 for m.
-2, 13
Let z(t) = -t**2 + 5*t - 2. Let m be z(3). Let r be 10*(m + 232/(-60)). Factor 14/3*w**3 - r + 4/3*w**2 - 14/3*w.
2*(w - 1)*(w + 1)*(7*w + 2)/3
Factor 0*t**3 + 16*t**2 - 6*t**3 + 16*t**2 - 225*t + t**3 + 58*t**2.
-5*t*(t - 15)*(t - 3)
Let a = 1510 + -1510. Find m such that -14/11*m**5 + 0*m**2 + a + 0*m**3 - 4/11*m**4 + 0*m = 0.
-2/7, 0
Determine r, given that 104*r + 114*r**3 + 9*r**2 + 23*r**2 + 8*r**2 + 64 - 110*r**3 + 4*r**2 = 0.
-8, -2, -1
Suppose 5*b - 3*f - 32 = f, 4*f + 8 = -b. Find i, given that -28 - i**2 + 41*i - 23*i + b*i**2 - 5*i**2 = 0.
2, 7
Let i(w) = -12*w**5 - 2*w**4 - 8*w**3 - 10*w - 10. Let l be (0 + 38/4)*2 + 1. Let y(o) = o**5 + o**4 + o + 1. Let n(p) = l*y(p) + 2*i(p). Factor n(z).
-4*z**3*(z - 2)**2
Let k be 12/(-28) - (3 + 72/(-21)). Let t(r) be the third derivative of 0*r**5 + k*r + 1/8*r**3 - 8*r**2 + 1/16*r**4 + 0 - 1/280*r**7 - 1/80*r**6. Factor t(p).
-3*(p - 1)*(p + 1)**3/4
Suppose 67*g = 146 + 55. Find s such that -8/3 - 10/3*s**g - 34/3*s**2 - 32/3*s = 0.
-2, -1, -2/5
Let m = -51 - -56. Suppose -x + 20 = -4*u, 3*x = u - 2*u - m. Find i, given that 2*i**4 - 4/3*i**3 + 4/3*i + x - 2*i**2 = 0.
-1, 0, 2/3, 1
Let k(b) be the first derivative of 0*b**3 + 0*b**5 + 0*b + 0*b**2 - 1/18*b**6 + 1/12*b**4 + 11. What is r in k(r) = 0?
-1, 0, 1
Let i(n) be the second derivative of -2*n**7/105 + 29*n**6/150 - 67*n**5/100 + 67*n**4/60 - 29*n**3/30 + 2*n**2/5 + n - 131. Determine z, given that i(z) = 0.
1/4, 1, 4
Let f = -520 + 520. Let v(s) be the third derivative of 3*s**2 + 1/42*s**4 + f + 0*s**3 + 0*s + 1/210*s**5. Factor v(j).
2*j*(j + 2)/7
Let w be -4 + -7*8/(-2). Let p(v) = 2*v**2 + 2*v + 3. Let i be p(-3). Factor -9 + 21 - 6*s**3 - w*s + i*s**2 + 3*s**3.
-3*(s - 2)**2*(s - 1)
Let o(h) be the third derivative of h**7/945 + h**6/135 + h**5/135 - h**4/27 - h**3/9 - 16*h**2 - 5*h. What is d in o(d) = 0?
-3, -1, 1
Solve 96/5*g**2 - 72/5*g + 2/5*g**4 + 0 - 26/5*g**3 = 0.
0, 1, 6
Let s(x) be the third derivative of x**5/72 + 215*x**4/72 + 9245*x**3/36 + x**2 + 46. Determine w so that s(w) = 0.
-43
Suppose 20*w = 25*w - 20. Let h(l) be the third derivative of -1/5*l**3 - 1/30*l**4 + 0 + 1/150*l**5 - w*l**2 + 0*l. Solve h(n) = 0.
-1, 3
Let c(b) be the third derivative of -1/112*b**8 - 29/24*b**4 + 16*b**2 - 2/21*b**7 + 0*b - 9/10*b**5 - 2/5*b**6 + 0 - b**3. Find t, given that c(t) = 0.
-3, -1, -2/3
Let k(a) = -42*a**4 - 21*a**3 + 108*a**2 - 3*a - 60. Let v(z) = -12*z**4 - 6*z**3 + 31*z**2 - z - 17. Let q(m) = 5*k(m) - 18*v(m). Factor q(x).
3*(x - 1)**2*(x + 2)*(2*x + 1)
Let g(f) be the second derivative of f**7/273 + 4*f**6/195 - 9*f**5/65 + 10*f**4/39 - 7*f**3/39 + 647*f. Find d such that g(d) = 0.
-7, 0, 1
Factor 148*y**2 + 452/3 - 4/3*y**3 + 300*y.
-4*(y - 113)*(y + 1)**2/3
Let z(l) be the second derivative of 0 - 3/50*l**5 + 1/105*l**7 - 1/30*l**4 + 0*l**2 - 4*l + 2/15*l**3 + 1/75*l**6. Determine r so that z(r) = 0.
-2, -1, 0, 1
Let b(h) be the second derivative of h**6/120 - 13*h**5/80 + 11*h**4/16 + 77*h**3/24 - 49*h**2/4 - 117*h. Suppose b(x) = 0. Calculate x.
-2, 1, 7
Let x(a) = a**5 - 18*a**4 + 15*a**3 - 2. Let m(j) = -j**4 - j**3 - 2. Let f(t) = m(t) - x(t). Factor f(p).
-p**3*(p - 16)*(p - 1)
Let t(b) be the third derivative of -b**8/756 + 2*b**7/945 + b**6/135 + 7*b**2 - 7*b. Factor t(h).
-4*h**3*(h - 2)*(h + 1)/9
Let g(y) be the first derivative of y**6/39 - y**4/13 + y**2/13 + 71. Find i, given that g(i) = 0.
-1, 0, 1
Suppose 2*k - 3*z = -20, 11 + 11 