 0*r + 0*r**2 + 1/55*r**5 + p + 0*r**3 - 1/44*r**4. Factor j(z).
z**3*(z - 1)/11
Let a(x) = x**2 - 9*x + 2. Let i be a(9). Factor 900 - 20*v - 26*v - 5*v - 9*v + v**i.
(v - 30)**2
Let o(i) be the first derivative of 2/69*i**3 - 12*i + 1/138*i**4 - 17 + 1/23*i**2. Let m(l) be the first derivative of o(l). Determine v so that m(v) = 0.
-1
Let y be 4/5*(-5)/(-2). Let q be (-2576)/(-483)*(6 - (3 + 0))*(-8)/(-128). Suppose 1/4*r**3 - q - 5/4*r**y + 2*r = 0. Calculate r.
1, 2
Let g(j) be the second derivative of -j**7/17640 + j**6/2520 + j**5/280 - 15*j**4/4 + 17*j. Let q(z) be the third derivative of g(z). Factor q(o).
-(o - 3)*(o + 1)/7
Let t = 3033/584 + -5/73. Let s = t + -107/24. Determine m, given that 1/6*m**4 + 0*m + 0 + 2/3*m**3 + s*m**2 = 0.
-2, 0
Suppose 4*t + 2 = 5*t. Let q(g) = g**2 - g + 12. Let k be q(0). Let -8*j**2 - 54 + 54 - 12*j - k*j**t = 0. Calculate j.
-3/5, 0
Suppose -34*z + 41*z - 33*z = 56*z. Let b(m) be the second derivative of -5*m + 2/75*m**5 - 1/18*m**4 - 1/225*m**6 + z*m**2 + 2/45*m**3 + 0. Factor b(f).
-2*f*(f - 2)*(f - 1)**2/15
Let b = -33800 - -33800. Let i(o) be the first derivative of -1/2*o**2 + 47 + b*o - 3/20*o**5 + 1/16*o**4 + o**3. Factor i(p).
-p*(p - 2)*(p + 2)*(3*p - 1)/4
Let j(s) = 5*s**2 + 101*s + 90. Suppose -3*b = -5 + 56. Let i(g) = 15*g**2 + 302*g + 270. Let n(o) = b*j(o) + 6*i(o). Factor n(x).
5*(x + 1)*(x + 18)
Suppose -1917*g**2 + 1376*g + 648000 + 1922*g**2 - 2612*g - 2416*g + 52*g = 0. What is g?
360
Let i(r) be the first derivative of -2/25*r**5 - 4/15*r**3 + 0*r**2 - 9 - 3/10*r**4 + 0*r. Suppose i(h) = 0. What is h?
-2, -1, 0
Suppose -18*p = p - 969. Suppose p*l - 56 = 37*l. Factor -l*v + 0 + 1/2*v**2.
v*(v - 8)/2
Let o(t) be the third derivative of -37*t**7/840 + 7*t**6/48 + t**5/20 - 83*t**4/24 + 11*t**2 - 4. Let q(a) be the second derivative of o(a). Factor q(f).
-3*(f - 1)*(37*f + 2)
Let z(f) = 5*f**3 + 425*f**2 - 460*f - 900. Let t(c) = 2*c**3 + 142*c**2 - 154*c - 300. Let u(l) = -10*t(l) + 3*z(l). Determine n, given that u(n) = 0.
-30, -1, 2
Let a(d) be the third derivative of -d**5/420 + 25*d**4/28 - 1875*d**3/14 - d**2 + 7*d + 30. Solve a(k) = 0.
75
Suppose 0 = -5*j + 3*u + 80 + 7, 5*j = -5*u + 95. Let k be j/(-30) - 18/(-5). Solve 6*q**3 - 4*q**4 + 2*q + 0*q**k + 0*q**4 - 12*q**3 = 0.
-1, 0, 1/2
Suppose -5*w - 4*w + 270 = 0. Let t be (((-16)/10)/(-4))/(1/w). What is x in -2*x**3 - t - 7*x**3 + 12*x**2 + 4*x + 5*x**3 = 0?
-1, 1, 3
Let n(j) be the first derivative of j**7/42 - 5*j**6/8 - 4*j**5/3 + 15*j**2 + j + 15. Let p(a) be the second derivative of n(a). Find y such that p(y) = 0.
-1, 0, 16
Let p(z) be the second derivative of -z**3/6 - z**2/2 - 4*z + 9. Let k(i) = i**2 - 7*i - 12. Let o(y) = -k(y) + 6*p(y). Factor o(b).
-(b - 3)*(b + 2)
Let g be 4/(-8)*4*744/(-496). Let -7/4*u + 3/4*u**g - 3/4 + 7/4*u**2 = 0. What is u?
-3, -1/3, 1
Let n be (-19)/(-5) - (200/65 - (1884/156 + -12)). Factor -13/5*r**2 - 2/5 - n*r**3 - 11/5*r.
-(r + 1)*(r + 2)*(4*r + 1)/5
Let w(m) be the first derivative of 3*m**4/8 - 42*m**3 + 675*m**2 - 3888*m - 1028. Factor w(z).
3*(z - 72)*(z - 6)**2/2
Let j(n) = -n**2 - 54*n - 101. Let d be j(-52). Determine p, given that -16*p**3 - 38*p - 6*p**3 + 24*p**3 - 4*p**d - 40*p**2 = 0.
-19, -1, 0
Let x = 2468/357 + -231/34. Let g(k) be the second derivative of x*k**7 - 20*k + 3/4*k**5 + 0*k**4 + 0 + 0*k**3 + 0*k**2 - 2/3*k**6. Solve g(s) = 0.
0, 1, 3
Let f(y) = -26*y**3 + 112*y**2 + 394*y + 408. Let p(t) = 22*t**3 - 109*t**2 - 395*t - 408. Let n(s) = 5*f(s) + 6*p(s). Find w such that n(w) = 0.
-2, 51
Let u = 1668 + -1668. Let l(r) be the third derivative of 1/36*r**5 - 12*r**2 + 25/72*r**4 + 0*r + 5/3*r**3 + u. Suppose l(g) = 0. Calculate g.
-3, -2
Let w be (-5332)/3 + (-72 - -74). Let d = -1774 - w. What is v in -10/3*v - 2*v**2 + 2/3*v**4 - d + 2/3*v**3 = 0?
-1, 2
Let p(k) be the third derivative of -1/30*k**6 + 0 - 2/15*k**5 + 1/84*k**8 - 55*k**2 + 4/105*k**7 + 0*k**3 + 0*k + 0*k**4. Find f, given that p(f) = 0.
-2, -1, 0, 1
Find s such that 2*s**3 + 29*s**2 - 5/2*s - 25 + 1/2*s**5 - 4*s**4 = 0.
-2, -1, 1, 5
Let s(h) be the third derivative of -h**5/60 + 605*h**4/12 - 403*h**3/2 + 3382*h**2. Factor s(o).
-(o - 1209)*(o - 1)
Factor 0 - 107/5*o + 1/5*o**2.
o*(o - 107)/5
Let w(m) be the second derivative of m**4/4 - 24*m**3 + 405*m**2/2 + 2479*m. Let w(u) = 0. What is u?
3, 45
Factor 44*i**2 - 16*i**2 + 24*i**2 + 56*i**3 + 2668*i**4 - 1337*i**4 - 1327*i**4.
4*i**2*(i + 1)*(i + 13)
Let w(u) = 12*u**2 + 417*u - 216. Let i(a) = -a**2 - 32*a + 16. Let c(l) = -27*i(l) - 2*w(l). Suppose c(k) = 0. Calculate k.
-10, 0
Suppose -3*i - d + 0*d = -19, -155*d + 149*d = -78. Solve -9/7*b**i + 3/7*b**4 - 15/7*b - 6/7 + 3/7*b**3 = 0.
-1, 2
Suppose 4*l - 13 = p - 108, -5*l - 4*p = 103. Let n(v) = -3*v - 53. Let y be n(l). Find t such that -y*t**2 - 1024/3 - 128*t - 2/3*t**3 = 0.
-8
Let 2/5*d**3 + 3/5*d**2 + 0 - 2/5*d = 0. What is d?
-2, 0, 1/2
Suppose 0 = 3*s + 400 - 421. Let q = 42/5 - s. Factor -q*g + 1/5*g**3 + 4/5 + 2/5*g**2.
(g - 1)**2*(g + 4)/5
Determine k, given that 122/5*k**4 - 124/5*k**3 + 0*k**2 + 2/5*k**5 + 0 + 0*k = 0.
-62, 0, 1
Let k(j) be the second derivative of -j**5/140 + 29*j**4/84 - 103*j**3/42 + 75*j**2/14 + 1979*j + 1. Find s such that k(s) = 0.
1, 3, 25
Let q = -5317 - -5320. Let v(p) be the second derivative of 1/10*p**5 + 2/3*p**4 + 16*p - 11/3*p**q + 6*p**2 + 0. Factor v(f).
2*(f - 1)**2*(f + 6)
Factor 2/7*s**3 - 410/7*s + 54/7*s**2 - 66.
2*(s - 7)*(s + 1)*(s + 33)/7
Let w(n) be the second derivative of 0*n**2 - 3/50*n**5 + 0 - 1/75*n**6 - 1/10*n**4 - 1/15*n**3 - 85*n. Find h, given that w(h) = 0.
-1, 0
Let a(f) be the first derivative of f**5/180 - f**4/6 + 11*f**3/18 + 3*f**2 + 3*f - 2. Let k(w) be the second derivative of a(w). Factor k(y).
(y - 11)*(y - 1)/3
Let t = -98 + 100. Find o such that 6*o**4 + 7 + t*o**5 + 301*o**2 - 315*o**2 + 1 - 2*o**3 = 0.
-2, -1, 1
Let y = -6311 - -6315. Let p(u) be the first derivative of 1/2*u**3 - 3/16*u**y + 0*u + 12 + 9/8*u**2. What is n in p(n) = 0?
-1, 0, 3
Let w(x) be the first derivative of 6*x**5/65 - 94*x**4/13 - 434*x**3/13 - 592*x**2/13 - 264*x/13 - 9940. Determine g so that w(g) = 0.
-2, -1, -1/3, 66
Let p(l) be the second derivative of -55*l + 0 + 1/36*l**4 + 0*l**2 + 0*l**3. Factor p(m).
m**2/3
Let g(a) be the third derivative of 0*a + 86*a**2 - 1/6*a**3 + 0 - 5/144*a**4 + 1/720*a**6 + 1/180*a**5. Factor g(l).
(l - 2)*(l + 1)*(l + 3)/6
Let -2/3*s**5 - 80/9*s**4 - 224/9*s**3 + 44*s**2 + 742/9*s + 196/9 = 0. Calculate s.
-7, -1, -1/3, 2
Let h(j) be the third derivative of -j**5/60 + 13*j**4/3 + 507*j**3/2 - 8*j**2 - 37*j - 4. Factor h(d).
-(d - 117)*(d + 13)
Let h(x) be the second derivative of x**7/504 - x**6/30 - 3*x**5/80 + 3*x**4/4 + 4*x + 738. Suppose h(f) = 0. What is f?
-3, 0, 3, 12
Factor 369/7*c + 66/7 + 33/7*c**2.
3*(c + 11)*(11*c + 2)/7
Let u = -649/296 + 12307/888. Find v, given that 0*v - 40/3*v**2 - u*v**3 + 5/3*v**4 + 0 = 0.
-1, 0, 8
Suppose -124 + 94 = 5*q. Let g be -3*(4 + q)/((-6)/(-3)). Factor 3/4*f**2 + 0 + 3/2*f**4 + 0*f - 15/8*f**g - 3/8*f**5.
-3*f**2*(f - 2)*(f - 1)**2/8
Suppose 60*f + 1920 = 90*f. Suppose f = 10*g + 54. Factor -13/2*h**2 + 15/2*h - g.
-(h - 1)*(13*h - 2)/2
Let d(n) be the third derivative of n**6/40 - 9*n**5/20 - n**4/8 + 9*n**3/2 - 2144*n**2. Solve d(k) = 0.
-1, 1, 9
Let f = -1/105831 + 1164143/211662. Factor 1/6*s**4 + f*s**2 - 7/3*s**3 + 32/3 + 56/3*s.
(s - 8)**2*(s + 1)**2/6
Let q(c) be the second derivative of -3*c**5/20 - 641*c**4/36 - 386*c**3/9 - 70*c**2/3 + 243*c. Determine s, given that q(s) = 0.
-70, -1, -2/9
Let g(m) = 11*m**3 - 17*m**2 - 29*m + 42. Let u(q) = -4 - 3*q**3 - 10 + 591*q + 6*q**2 - 582*q. Let c(w) = 4*g(w) + 14*u(w). Find v such that c(v) = 0.
-7, -2, 1
Let b(o) = o**4 - 264*o**3 - 487*o**2 - 18*o - 18. Let m(v) = 66*v**3 + 122*v**2 + 4*v + 4. Let i(u) = -2*b(u) - 9*m(u). Suppose i(y) = 0. What is y?
-31, -2, 0
Let w(c) be the first derivative of -c**6/60 + c**5/6 - 2*c**4/3 + 4*c**3/3 + 15*c**2 + 72. Let n(o) be the second derivative of w(o). Factor n(u).
-2*(u - 2)**2*(u - 1)
Let j be (42/(-7))/((-3)/64). Factor -3888*r**2 - 63*r**5 + j*r**5 - 112*r**4 - 61*r**5 + 2916*r + 1080*r**3.
4*r*(r - 9)**3*(r - 1)
Let g be ((-44)/(-33))/(3/9). Let