 366/5*w - 128/5*w**2.
2*w*(w - 61)*(w - 3)/5
Let r(c) = -43*c**2 - c. Let z(g) = 128*g**2 - 62*g. Let m(h) = 3*r(h) + z(h). Suppose m(q) = 0. Calculate q.
-65, 0
Let 1/6*g**2 - 287/6*g + 142 = 0. What is g?
3, 284
Let w(b) be the first derivative of b**3/15 + 101*b**2/5 + 10201*b/5 + 1954. Determine u so that w(u) = 0.
-101
Let k(u) be the third derivative of 49*u**6/30 - 29*u**5/9 - u**4/9 + 5*u**2 + 4. Let k(o) = 0. Calculate o.
-2/147, 0, 1
Let j(f) be the second derivative of f**5/150 + 7*f**4/10 + 41*f**3/15 + 85*f**2/2 + 24*f. Let s(b) be the first derivative of j(b). Factor s(t).
2*(t + 1)*(t + 41)/5
Suppose 5*b + 23 = -2*d + 17, 0 = d + 3*b + 4. Let o(q) be the second derivative of 7*q + 0 - 1/10*q**6 - 9/10*q**5 - 9/4*q**4 + 0*q**3 + 0*q**d. Factor o(k).
-3*k**2*(k + 3)**2
Let l(n) = -31*n**3 - n**2 - 6. Let x(c) = -36*c**3 - 2*c**2 + c - 7. Let j(k) = -7*l(k) + 6*x(k). Factor j(o).
o*(o - 3)*(o - 2)
Let m(i) be the second derivative of -i**7/105 - i**6/5 + 8*i**5/25 + 16*i - 46. Factor m(f).
-2*f**3*(f - 1)*(f + 16)/5
Let f(v) = -2*v**3 - 13*v**2 - 1314*v - 10704. Let j be f(-8). Factor -4/9*s + j*s**2 + 0 + 1/9*s**3.
s*(s - 2)*(s + 2)/9
Let x(v) = -4*v - 8. Let c be (-30)/20*(-4)/(-3). Let p be x(c). Factor -1/4*s - 1/4*s**2 + p.
-s*(s + 1)/4
Let v be (-240)/1920 - 33/(-8). Let b(j) be the second derivative of -1/18*j**v - 7*j + 1/3*j**3 + 4/3*j**2 + 0. Factor b(l).
-2*(l - 4)*(l + 1)/3
Let k(m) be the third derivative of -1/15*m**5 - 11/6*m**3 - 1/240*m**6 - 20*m**2 + 0 - 3*m + 31/48*m**4. Factor k(s).
-(s - 2)*(s - 1)*(s + 11)/2
Find n such that 0 + 27*n**2 - 3/2*n**5 + 33/2*n**3 + 0*n**4 + 12*n = 0.
-2, -1, 0, 4
Let b = -40 + 41. Let p be -25 - -33 - 4/b. Solve 13*s**3 - 2*s**p + 72*s + 27 + 66*s**2 + s**3 + 5*s**4 + 10*s**3 = 0.
-3, -1
Suppose 4*y = 22*y - 144. Let n be 0 - 0 - (-42 + y). Factor -50 + 5*w**2 + 36*w - 29*w**2 + n + 4*w**3.
4*(w - 4)*(w - 1)**2
Let i(r) be the first derivative of -r + 0*r**2 - 3/10*r**5 + 0*r**3 + 1/3*r**4 - 1/3*r**6 + 41. Let v(s) be the first derivative of i(s). Factor v(h).
-2*h**2*(h + 1)*(5*h - 2)
Let n(s) = s**3 + 6*s**2 + 3*s - 16. Let q be n(-3). Suppose -2 = q*j, 5*d - 11 = -j - 2. Determine p so that 1/2 - 1/6*p**d + 1/3*p = 0.
-1, 3
Let i(y) be the third derivative of 1/588*y**8 - 4/735*y**7 - 40*y**2 + 0*y - 1/210*y**6 + 0*y**3 + 2/105*y**5 + 0*y**4 + 1. Let i(f) = 0. Calculate f.
-1, 0, 1, 2
Let h(w) be the third derivative of w**5/270 + 23*w**4 + 57132*w**3 + 347*w**2 - 3*w. Solve h(t) = 0 for t.
-1242
Let s(u) = 2*u**2 - 583*u + 2123. Let c(n) = -7*n**2 + 1738*n - 6368. Let y(w) = -3*c(w) - 8*s(w). Factor y(i).
5*(i - 106)*(i - 4)
Suppose 5*j - 258 = 3*w - 237, -4*j + 6 = 3*w. Let h(a) be the second derivative of 0 + 5/12*a**4 - 21*a + 0*a**2 + 0*a**j + 1/4*a**5. Factor h(l).
5*l**2*(l + 1)
Suppose 87*f = 49*f. Solve 352*n**3 + 320*n**2 + 4/5*n**5 + 0 + f*n + 164/5*n**4 = 0.
-20, -1, 0
Let 0 - 7/3*p**3 + 291*p**2 + 250/3*p = 0. Calculate p.
-2/7, 0, 125
Find n such that -12*n + 297/5 + 3/5*n**2 = 0.
9, 11
Let x = 8358 - 8356. Let n(v) be the second derivative of 0 - 1/8*v**4 - 1/40*v**5 - 1/4*v**x - 3*v - 1/4*v**3. Suppose n(p) = 0. Calculate p.
-1
Factor -440 - 91/2*o - 1/2*o**2.
-(o + 11)*(o + 80)/2
Let b(g) = 3*g**2 - 13*g + 28. Let l be b(4). Suppose l = 6*y - 0*y. Factor 27*f**4 - 18*f**y - 11*f**4 - 3*f**3 + f**3.
-2*f**3*(f + 1)
Let l(t) be the second derivative of -t**4/66 - 38*t**3/33 + 123*t**2/11 + 9*t + 4. Factor l(d).
-2*(d - 3)*(d + 41)/11
Let q = 120 - 110. Let p(v) = -v**2 + 8*v + 32. Let g be p(q). Factor 10*m**5 + 30*m**3 + m - 3*m - g*m**3 - 22*m**4 - 2*m**5 - 2*m**2.
2*m*(m - 1)**3*(4*m + 1)
Find a, given that -76/5*a**3 - 2446/15*a**2 - 280*a + 2/15*a**4 - 1984/15 = 0.
-8, -1, 124
Let b(s) be the second derivative of 0 + 0*s**2 - 115*s - 1/4*s**4 - 1/42*s**7 - 1/20*s**5 + 1/3*s**3 + 1/10*s**6. Determine w so that b(w) = 0.
-1, 0, 1, 2
Suppose 1675 = 15*f + 1360. Let z(g) be the second derivative of 1/195*g**6 + 0*g**3 + 0 + 1/26*g**5 + 0*g**2 + 2/39*g**4 + f*g. Factor z(a).
2*a**2*(a + 1)*(a + 4)/13
Suppose -13*x + 4*x = -63. Let z be (195/(-18) - -4) + x. Suppose -1/6*v**2 + z*v**3 + 1/6 - 1/6*v = 0. What is v?
-1, 1
Let i(a) be the first derivative of a**5/20 - 17*a**4/8 + 385*a**3/12 - 363*a**2/2 - 10583. Factor i(w).
w*(w - 12)*(w - 11)**2/4
Let l = 230899/197916 - -1/65972. Find r, given that 5/6 - 1/6*r**3 - 11/6*r + l*r**2 = 0.
1, 5
Let p(o) be the first derivative of -5*o**4/12 - 20*o**3/3 - 31*o + 26. Let x(s) be the first derivative of p(s). Suppose x(c) = 0. Calculate c.
-8, 0
Let o(x) be the first derivative of -9*x**5/5 + 12*x**4 - 52*x**3/3 + 8*x**2 + 2794. Find i such that o(i) = 0.
0, 2/3, 4
Suppose -22*a + 0 = -44. Factor -5*b**4 - 503*b**a - 792 - 7*b**3 - 828 + 117*b**3 - 282*b**2 + 1980*b.
-5*(b - 9)**2*(b - 2)**2
Suppose 0 = 5*v - 7*q + 10*q - 19, 2*v - 2*q + 2 = 0. Let g(d) be the first derivative of -15/4*d**v - d**3 + 15/8*d**4 - 5 + 3*d. Suppose g(s) = 0. What is s?
-1, 2/5, 1
Let s(u) = u**3 - 5*u**2 - 2*u + 15. Let p be s(5). Solve -32 - 336*d**2 - 132*d**4 - 196*d**3 - 118*d**3 - 35*d**p + 17*d**5 - 168*d = 0.
-4, -1, -2/3
Let u be (-5 - (-1404)/288) + 652/608. Determine q so that -24/19*q - 8/19 - u*q**2 = 0.
-2/3
Let d(z) = -z**2 + 12*z - 15. Let y be d(2). Suppose 4*g = -w + 20, 3*g = y*w + 74 - 82. Factor -12/7*q**4 - w*q**3 - 18/7*q - 4/7 - 32/7*q**2 - 2/7*q**5.
-2*(q + 1)**4*(q + 2)/7
Let i(h) be the third derivative of -3/5*h**5 + 0 + 5/8*h**4 + 13/60*h**6 - 1/3*h**3 - 3/112*h**8 + 0*h + 1/35*h**7 - 42*h**2. Suppose i(r) = 0. What is r?
-2, 1/3, 1
Let g be (12/(-10))/((-4)/40). Let p be g/20*5 + 3. Factor -38*k**3 - p*k - 2*k + 12*k**2 + 73*k**3 - 39*k**3.
-4*k*(k - 2)*(k - 1)
Let j(u) be the third derivative of u**5/80 + 49*u**4/32 + 147*u**3/4 + 23*u**2 + 89*u. Factor j(m).
3*(m + 7)*(m + 42)/4
Let o be 183 - ((-3)/5 + 7/(-5)). Let a = o + -129. Determine l so that 58*l**2 - 21*l**2 + 568*l**2 - 36 + a + 220*l = 0.
-2/11
Let -4036357408 - 2556528720 - 15528*g**2 - 2344903267 - 5*g**3 - 5652593550 - 30630615*g - 5907*g**2 = 0. What is g?
-1429
Let c(m) be the first derivative of -51/5*m**5 - 83 - 2*m**3 - 21/2*m**2 + 5/2*m**6 + 9*m + 27/2*m**4. Let c(i) = 0. Calculate i.
-3/5, 1
Suppose 0 = 2*g + 2*j - 2, -j = 3*g - 16 + 5. Solve -20*l**2 - 4*l + 25*l - 5*l**g + 20*l**4 - 15*l**3 - l = 0 for l.
-1, 0, 1, 2
Factor -1/2*b**3 + 126 + 127*b**2 - 505/2*b.
-(b - 252)*(b - 1)**2/2
Let x(u) be the third derivative of -u**8/1344 - u**7/140 + 31*u**6/480 + 77*u**5/60 + 15*u**4/2 + 56*u**3/3 + 3064*u**2. Factor x(y).
-(y - 7)*(y + 1)*(y + 4)**3/4
Let w(c) be the third derivative of -245*c**6/72 - 259*c**5/12 - 71*c**4/8 - 3*c**3/2 + 5000*c**2. Determine x so that w(x) = 0.
-3, -3/35
Let t(x) = 890*x - 16017. Let h be t(18). Factor 14/3*k**2 + 58/3*k**h + 0*k + 0 + 8/3*k**4.
2*k**2*(k + 7)*(4*k + 1)/3
Let i(s) = 71*s**2 - 2*s + 2. Let z be i(1). Let v = 87 + z. Factor -v*u**2 - 30 + 54*u + 71*u + 203*u**2.
5*(u + 3)*(9*u - 2)
Let n = -1546 - -1701. Let f be ((-62)/n)/(((-8)/(-10))/(-1)). Factor 0*y + 0 + f*y**3 + y**2.
y**2*(y + 2)/2
Determine w so that -7692*w**3 - 54*w**2 - 31*w**2 + 40*w + 7742*w**3 - 5*w**4 = 0.
0, 1, 8
Suppose -6*o + 3*o - 14 = 2*l, 2*l = 5*o + 2. Let m be o*(1 - (-3 + (3 - -2))). Solve 4*s**5 - 16*s**3 - 3*s**2 + 12*s - 4*s**2 + 8 - s**m = 0 for s.
-1, 1, 2
Let y be (8/4 + -1)*(3 + -1). What is c in 21 + 29 + 16*c + y*c**2 - 20 = 0?
-5, -3
Let y(v) be the third derivative of -7*v**5/15 - 37*v**4/12 + 22*v**3/3 + 2084*v**2 + v + 1. Factor y(h).
-2*(2*h - 1)*(7*h + 22)
Let q = 13028/110449 - 2/6497. Let z(w) be the first derivative of 1/34*w**4 + 2/17*w**2 + 0*w - 3 - q*w**3. Factor z(b).
2*b*(b - 2)*(b - 1)/17
Let b be (-5)/(-125)*5 + 2105/(-25). Let g = b + 171/2. Determine p so that 0 - 3*p**2 + 0*p + g*p**3 = 0.
0, 2
Let v = -2492 - -2496. Let s(z) be the second derivative of 0 - z + 1/189*z**7 + 0*z**6 + 0*z**v + 1/27*z**3 - 1/45*z**5 + 0*z**2. Factor s(t).
2*t*(t - 1)**2*(t + 1)**2/9
Let g(m) be the second derivative of -m**4/16 - 319*m**3/4 + 1917*m**2/8 + 78*m + 4. Factor g(l).
-3*(l - 1)*(l + 639)/4
Let f(r) be the second derivative of r**4/6 - 674*r**3/3 + 113569*r**2 + 13*r + 23. Solve f(m) = 0.
337
S