*7 - 5/336*m**8 + 0. Factor g(c).
-5*c**4*(c - 1)
Let t = 2/7977 - -2657/7977. Let c(j) be the first derivative of 1/5*j**5 + 1/2*j**4 - 20 + t*j**3 + 0*j**2 + 0*j. Factor c(y).
y**2*(y + 1)**2
Suppose 504/5 - 2/5*u**3 - 8*u**2 + 66/5*u = 0. What is u?
-21, -3, 4
Suppose 123*i = 133*i - 25150. Let p = i - 5029/2. Let -p + 1/4*m**3 + 0*m**2 - 3/4*m = 0. Calculate m.
-1, 2
Let r(n) be the first derivative of 78732/7*n + 4374/7*n**2 - 75 + 1/7*n**4 + 108/7*n**3. Let r(c) = 0. What is c?
-27
Let g(r) = -8*r**2 - 13. Let t(b) = -6*b**2 - 155*b + 19. Let s be t(-26). Let c(i) = -7*i**2 + i - 12. Let z(p) = s*c(p) + 6*g(p). Solve z(x) = 0 for x.
1, 6
Let k(l) = -9*l - 25. Let c be k(-11). Factor 3*z**3 - c*z**2 + 3969*z - 6*z**2 - 109*z**2 - 27783.
3*(z - 21)**3
Let x(b) be the second derivative of -11*b**4/24 + 25*b**3/3 - b - 928. Determine o, given that x(o) = 0.
0, 100/11
Factor -483608734/5 - 3738/5*j**2 - 2328774/5*j - 2/5*j**3.
-2*(j + 623)**3/5
Let x(u) be the second derivative of u**7/336 - u**6/60 - 7*u**5/40 - u**4/3 - 15*u - 37. Factor x(k).
k**2*(k - 8)*(k + 2)**2/8
Let y(r) be the third derivative of 0*r + 20/3*r**5 + 80/3*r**3 - 5/336*r**8 + 8*r**2 + 0 - 5/3*r**6 - 50/3*r**4 + 5/21*r**7. Factor y(f).
-5*(f - 2)**5
Suppose -4*h + 261 = 85. Let y = 48 - h. Factor 33*f + 35*f**y + 185*f**3 + 7*f + 267*f**2 - 77*f**2.
5*f*(f + 1)*(f + 4)*(7*f + 2)
Let q be 6/5*2*15/1. Let y(c) = -10*c**2 - 3*c - 9. Let p(b) = b**2 + b + 1. Let k(r) = q*p(r) + 4*y(r). Factor k(o).
-4*o*(o - 6)
Let o(q) be the second derivative of 155/6*q**3 - 1/6*q**6 + 0 - 7/4*q**5 - 5/4*q**4 - 50*q**2 + 194*q. Determine f so that o(f) = 0.
-5, -4, 1
Suppose 31*q + 119 = 38*q. Factor -i**2 + 20*i - 8 + q*i - 28*i.
-(i - 8)*(i - 1)
Let o(j) be the first derivative of 65 - 3/8*j**2 - j + 1/12*j**3. Suppose o(w) = 0. What is w?
-1, 4
Let d(i) = 36*i**5 + 312*i**4 + 160*i**3 - 280*i**2 - 188*i - 28. Let o(s) = -2*s - 1. Let v(p) = -d(p) - 4*o(p). Solve v(q) = 0.
-8, -1, -1/3, 1
Let m be (-84426290)/5460 - 1/6*-5. Let h = m - -15519. Factor h + 80/7*s + 4/7*s**2.
4*(s + 10)**2/7
Suppose -161*c + 50*c**3 + 3*c - 53*c**3 - 29*c - 404*c - 594*c**2 = 0. Calculate c.
-197, -1, 0
Factor 23*l - 162 + 171*l**2 - 110*l + 100*l**2 - 274*l**2.
-3*(l + 2)*(l + 27)
Let i be (0 - -8) + 138/4 + -50 + (68 - 34). Factor i*v**2 - 9/4*v**3 + 0 + 6*v.
-v*(v - 12)*(9*v + 2)/4
Let y(l) be the first derivative of l**5/4 - 17*l**4/16 - l**3/12 + 21*l**2/8 - 408. Factor y(n).
n*(n - 3)*(n + 1)*(5*n - 7)/4
Suppose -5*j + 10*j - 80 = 0. Suppose -j = -4*d + 4. What is z in 2*z**3 + 78*z**2 + d*z - 156*z**2 + z + 70*z**2 = 0?
0, 1, 3
Suppose -102*f**2 + 98/15*f**3 + 8734/15*f - 2420/3 - 2/15*f**4 = 0. Calculate f.
2, 11, 25
Let t(i) be the second derivative of i**4/6 + 125*i**3 + 374*i**2 - 2797*i. Factor t(z).
2*(z + 1)*(z + 374)
Let k = 3967561/3 + -1320985. Factor -190/3*i**2 - 4418/3 - k*i - 2/3*i**3.
-2*(i + 1)*(i + 47)**2/3
Suppose 474*c - 907 - 95 - 894 = 0. Find j such that -74/9*j**c - 464*j**2 - 192*j + 768 - 2/9*j**5 - 932/9*j**3 = 0.
-12, -2, 1
Suppose -1489 = -1069*o + 1718. Solve 361/6 - 323/6*f - 1/6*f**o - 37/6*f**2 = 0.
-19, 1
Let -7019/4*s**3 - 60*s - 1 - 4263/4*s**4 - 841/4*s**5 - 3833/4*s**2 = 0. What is s?
-2, -1, -1/29
Let q be (-39 - -46)/(184/(-161)) + -7*(-2 - -1). Find g, given that 1/8*g**3 + 3/4*g + 0 + q*g**2 = 0.
-6, -1, 0
Let u be 6 - 16/((-20)/(-5)). Suppose 18 = u*v + 7*v. Factor -2*f**v - 3*f**2 + f**2 - 256 + 0*f**2 - 64*f.
-4*(f + 8)**2
What is n in -3/5*n**2 + 83*n**3 + 1/5*n**4 - 1247/5*n - 166 = 0?
-415, -1, 2
Let g(c) be the second derivative of 15 + c**4 - 2*c - 47/36*c**3 + 1/24*c**5 - 5/2*c**2. Factor g(h).
(h - 1)*(h + 15)*(5*h + 2)/6
Let g(n) be the second derivative of -2/15*n**3 + 1/10*n**4 + 0*n**2 + 0 - 62*n - 1/50*n**5. Factor g(o).
-2*o*(o - 2)*(o - 1)/5
Let y(s) be the second derivative of -s**5/10 - 9*s**4 - 104*s**3/3 - 2*s + 765. Find b, given that y(b) = 0.
-52, -2, 0
Let t(x) be the first derivative of 0*x**2 - 8/3*x**3 + 2/3*x**6 + 0*x + 8/5*x**5 + 14 - x**4. Factor t(g).
4*g**2*(g - 1)*(g + 1)*(g + 2)
Factor 2/7*f**4 - 6/7 - 8/7*f**3 + 4/7*f**2 + 8/7*f.
2*(f - 3)*(f - 1)**2*(f + 1)/7
Solve 295/2*n**3 + 115/2*n**4 - 150*n - 115/2*n**2 + 0 + 5/2*n**5 = 0.
-20, -3, -1, 0, 1
Let o(j) be the third derivative of 7*j**6/180 + 23*j**5/180 - 4*j**4/9 - 5*j**3/18 - 2*j**2 + 65. Factor o(d).
(d - 1)*(2*d + 5)*(7*d + 1)/3
Suppose 653 = 158*o + 21. Let l(n) be the second derivative of 1/78*n**o - 14*n - 4/39*n**3 + 4/13*n**2 + 0. Determine t, given that l(t) = 0.
2
Let w(y) = -y - 23. Let j be w(-21). Let n be -2 + 5 - (42/9 + j). Factor 0 - 1/3*i - i**2 - i**3 - n*i**4.
-i*(i + 1)**3/3
Determine f so that -4*f**3 - 7960 - 676*f**2 - 2656*f + 11775 - 6455 = 0.
-165, -2
Suppose 2*b - 47 = -45, -2*l + 9 = 5*b. Determine o, given that 0 - 2*o**3 + 0*o + 2/5*o**5 - 12/5*o**l + 4/5*o**4 = 0.
-3, -1, 0, 2
Let t(j) be the second derivative of -j**4/3 + 1504*j**3/3 - 282752*j**2 + 1093*j + 2. Factor t(v).
-4*(v - 376)**2
Suppose -27*w - 47310 = 30*w. Let o = -4126/5 - w. Find l such that 4*l + o - 12/5*l**3 - 32/5*l**2 = 0.
-3, -2/3, 1
Let r(l) be the first derivative of l**4/26 + 10*l**3/39 + 7*l**2/13 + 6*l/13 + 5920. Find q, given that r(q) = 0.
-3, -1
Let p be (1 - 1)*5/165*11. Let b(f) be the second derivative of 0*f**2 + p - 4/35*f**5 - 1/2*f**4 - 1/105*f**6 + 10*f - 6/7*f**3. Factor b(j).
-2*j*(j + 2)*(j + 3)**2/7
Factor 164 + 2200 - 1811*o - 589*o - 5*o**2 + 41.
-5*(o - 1)*(o + 481)
Let c(l) = -l**3 - 5*l**2 - 7*l - 11. Let a be c(-4). Suppose -4*g - 4*f + 24 = 0, -5 = 5*g - 4*f + a. Factor -1/3*t + 0 + 1/3*t**g.
t*(t - 1)/3
Let b(n) be the third derivative of -n**5/300 - 937*n**4/120 - 1237*n**2 - 2. Factor b(h).
-h*(h + 937)/5
Let b(i) be the first derivative of i**8/10920 + i**7/5460 - i**6/2340 - i**5/780 - i**3/3 - 58*i + 33. Let k(t) be the third derivative of b(t). Factor k(m).
2*m*(m - 1)*(m + 1)**2/13
Let q(t) be the first derivative of 7/5*t**2 + 12/5*t + 16/45*t**3 + 1/30*t**4 + 69. Factor q(b).
2*(b + 2)*(b + 3)**2/15
Suppose 5*d + 1134 = 8*d - 5*l, 5*d = 5*l + 1880. Suppose 0 = 18*w + d - 409. Find p such that 12*p + 54 + 2/3*p**w = 0.
-9
Let w(t) be the third derivative of 10/3*t**4 - 1/12*t**5 - 160/3*t**3 + 0*t + 0 - 76*t**2. Factor w(q).
-5*(q - 8)**2
Let c(u) = -18 + 8*u - 3*u + 10 + 2*u + 3*u. Let r be c(1). Factor -16/5 - 14/5*z**r - 12*z.
-2*(z + 4)*(7*z + 2)/5
Let o(n) be the second derivative of -n**6/20 + 3783*n**5/40 - 396899*n**4/8 - 398161*n**3/4 + 2*n - 298. Determine s, given that o(s) = 0.
-1, 0, 631
Suppose 0 = 5*f - 930 + 910. Let -16*z - 9*z - 30*z**3 + 7*z - f*z + 55*z**2 - 8*z + 5*z**4 = 0. Calculate z.
0, 1, 2, 3
Let l be (88/3*78/884)/2. Factor -2/17*m**2 - 36/17 - l*m.
-2*(m + 2)*(m + 9)/17
Let v(q) be the third derivative of -q**6/280 - 19*q**5/140 - 115*q**4/56 - 225*q**3/14 - 634*q**2. Factor v(b).
-3*(b + 5)**2*(b + 9)/7
Let x be 3*(-4)/(-6)*17/2788. Let q = 151/1066 + x. Factor -q*a**2 + 12/13*a - 18/13.
-2*(a - 3)**2/13
Let x(r) = r**2 - 15*r + 45. Let i be x(10). Let u(m) = m**2 + 5*m. Let v(p) = p + 1. Let a(b) = i*u(b) + 15*v(b). Factor a(w).
-5*(w - 1)*(w + 3)
Let x be (-13 + 12)*-43 - -257. Factor -1021/3*z**2 - 620*z - x - 1/3*z**4 - 62/3*z**3.
-(z + 1)**2*(z + 30)**2/3
Let j(c) = -2*c**2 + 13*c + 9. Let v be j(7). Factor 4*t**v - 5 + 28*t + t**4 - 22*t + 0*t**2 - 6*t**3.
(t - 5)*(t - 1)**2*(t + 1)
Let g(p) be the third derivative of -1 + 25/18*p**3 - 143*p**2 + 0*p - 5/36*p**4 + 1/180*p**5. Factor g(t).
(t - 5)**2/3
Let 274 - 535 + 276 - i**2 - 5*i + 3*i = 0. Calculate i.
-5, 3
Let h = 15286718/19 + -804564. Find z, given that -h*z**3 + 18/19*z + 36/19 - 4/19*z**2 = 0.
-3, -2, 3
Suppose -j - 2*c - 6 = j, 7*j - 2*c - 33 = 0. Let h(g) be the first derivative of 2 - 24*g - 54*g**2 - 30*g**j - 21/4*g**4. Factor h(l).
-3*(l + 2)**2*(7*l + 2)
Let a(c) be the third derivative of c**8/336 - c**7/42 + 25*c**3/6 + c**2 + 4*c. Let j(x) be the first derivative of a(x). Solve j(d) = 0 for d.
0, 4
Let k = -31113 - -217796/7. Find x such that -1 - k*x**2 + 36/7*x = 0.
1/5, 7
Let k(s) = -s**2 + 26*s - 133. Let d be k(12). Suppose -d*m = 16*m. Find u, given that m*u + 1/5*u**3 + 2/5*u**2 - u**4 + 2/5*u**5 + 0 = 0.
-1/2, 0,