 + 2*p. Let z be 2 + 3 - -2 - -24. Factor z*l**2 + 12*l**3 + p*l**2 - 16*l - 16*l**4 - 19*l**2 + 4*l**5.
4*l*(l - 2)**2*(l - 1)*(l + 1)
Let n(y) be the second derivative of -y**4/6 - 2*y**3/3 + 25*y**2 + 126*y. Let s be n(4). Determine p, given that 2/7*p**3 + 0 + 6/7*p + 8/7*p**s = 0.
-3, -1, 0
Let u(p) = -p**2 + 2*p + 1. Let x(d) = 4*d**2 + 137 + 0*d**2 + 84 + 30*d + 100. Let s(h) = -3*u(h) - x(h). Find w, given that s(w) = 0.
-18
Let i(n) be the third derivative of n**5/15 + 91*n**4 + 1090*n**3/3 + 5333*n**2. Factor i(k).
4*(k + 1)*(k + 545)
Let h(z) = -z**2 + 4*z + 23. Let g be h(7). Suppose -237 + 231 + 28*s + 33*s - 10*s**g = 0. What is s?
1/10, 6
Let l(a) = -a**2 - 10*a - 10. Let x be l(-4). Find m, given that 27*m**2 + 123*m**4 - x*m - m - 9*m**3 - 63*m**4 - 63*m**4 = 0.
-5, 0, 1
Let x(i) = 12*i**3 - 10006*i**2 + 2093330*i - 1391117. Let f(k) = -12*k**3 + 10008*k**2 - 2093332*k + 1391116. Let c(q) = 5*f(q) + 4*x(q). Solve c(g) = 0.
2/3, 417
Let m(i) be the third derivative of -i**6/60 + 4*i**5/15 + 91*i**4/12 - 98*i**3/3 - 2*i**2 - 1383*i. Determine s, given that m(s) = 0.
-7, 1, 14
Suppose -3*h - 5*p = -140, 669*h - 2*p = 670*h - 46. Let f(b) be the first derivative of -h + 1/2*b**3 - 3/2*b + 3/8*b**4 - 3/4*b**2. What is r in f(r) = 0?
-1, 1
Let j(h) be the third derivative of -1/10*h**4 - 1/560*h**8 - 38*h**2 + 0*h + 0 + 0*h**3 + 1/175*h**7 - 1/25*h**5 + 3/200*h**6. Factor j(x).
-3*x*(x - 2)**2*(x + 1)**2/5
Suppose 64*x = 105*x. Let k be (-2 + -5)*(-10)/105. Determine h, given that 3*h**3 + 7/3*h**2 + x - k*h = 0.
-1, 0, 2/9
Suppose -2*j - 2*r + 28 = 0, -20*j = -24*j + 3*r - 21. Factor -2/7*i**j - 168*i - 12*i**2 - 784.
-2*(i + 14)**3/7
Let p(a) be the first derivative of 25*a**6/3 - 124*a**5 - 127*a**4 + 1576*a**3/3 - 275*a**2 + 52*a + 1676. Solve p(v) = 0 for v.
-2, 1/5, 1, 13
Let i = 1748 + -1748. Let f(o) be the third derivative of 0*o**5 + 0 + i*o**3 + 0*o**6 + 0*o**4 + 25*o**2 + 2/105*o**7 + 0*o + 3/56*o**8. Factor f(s).
2*s**4*(9*s + 2)
Suppose -21450*m + 21414*m = -72. Factor 27*y + 0 + 9*y**m + 3/4*y**3.
3*y*(y + 6)**2/4
Suppose a + 4*a = -2*l + 3681, 1480 = 2*a - 3*l. Let v = 2231/3 - a. Determine c so that -8/3*c - 20/3*c**2 + 0 + 20/3*c**4 + v*c**3 - 4*c**5 = 0.
-1, -1/3, 0, 1, 2
Let f(o) be the first derivative of -o**5/30 + 5*o**4/6 + 185*o**2/2 + 57. Let l(h) be the second derivative of f(h). Factor l(p).
-2*p*(p - 10)
Let s(j) be the first derivative of j**8/12600 - j**7/3150 - j**6/2700 + j**5/450 + j**3 + 7*j**2 + 9. Let o(f) be the third derivative of s(f). Factor o(y).
2*y*(y - 2)*(y - 1)*(y + 1)/15
Factor -530 + 130*i + 143*i - 18*i - 2*i**2 + 6*i**2 + i**2.
5*(i - 2)*(i + 53)
Let c(m) = -461*m**2 + 4*m + 1. Let s be c(-1). Let f = 1393/3 + s. Suppose -2/3*h + 0 - h**2 - f*h**3 = 0. What is h?
-2, -1, 0
Let x be 0 + 1 + (7 + -196)/(-3). Factor -59*r + 0*r**2 + x*r + 5*r**2.
5*r*(r + 1)
Let y(u) = 4*u**2 - 5*u - 18. Let s(b) = -24*b + 40*b + 4*b**2 - 11*b**2 + 52 - 5*b**2. Let m(n) = -3*s(n) - 8*y(n). Let m(w) = 0. What is w?
-1, 3
Let v(a) = a**3 + 43*a**2 + 155*a - 84. Let u be v(-39). Let z be (u/10)/(((-9)/(-6))/(-1)). Suppose 5/4*n**2 - 11/4*n + 3/4*n**z + 3/4 = 0. What is n?
-3, 1/3, 1
Let l = -1651997/3 + 550666. Find h, given that 11/3*h + 0 + l*h**2 = 0.
-11, 0
Let v(j) be the first derivative of -5*j + 36/7*j**2 + 13/42*j**4 + 1/70*j**5 + 16/7*j**3 - 33. Let d(o) be the first derivative of v(o). Factor d(s).
2*(s + 1)*(s + 6)**2/7
Let c = -1 - -2. Let z be 727 + (0 - c - 0). Factor 736 + 20*p**2 + 5*p**3 - z + 17*p + 8*p.
5*(p + 1)**2*(p + 2)
Suppose -4*h + 2*g + 18 = 0, -2*h + g + 13 = 4*g. Suppose 0*n + h*n = -2*s + 2, 2*s + 6 = -n. Solve 2*y**3 + 6*y**n + 0*y**2 + 2*y**2 - 10*y**2 - 4*y = 0 for y.
-1, 0, 2
Let u(q) be the third derivative of -2*q**7/15 + 13*q**6 - 91*q**5/5 - 55*q**4/3 + 3226*q**2. Determine p so that u(p) = 0.
-2/7, 0, 1, 55
Suppose -3*j + 6 = 3*z, -3*z + 2*j - 3*j + 6 = 0. Factor 10 - 1447*y - z*y**2 + 723*y + 732*y.
-2*(y - 5)*(y + 1)
Let p(s) be the second derivative of -2/9*s**6 - 2*s + 0*s**4 + 17 + 0*s**3 + 0*s**2 + 2/21*s**7 + 2/15*s**5. Factor p(u).
4*u**3*(u - 1)*(3*u - 2)/3
What is l in 5*l**2 + 55 - 725*l + 300*l + 365*l = 0?
1, 11
Let m(w) = -29 - 3*w + 14*w - 6*w. Let n be m(7). Suppose -3*k**4 - 37*k**4 + 4*k**4 + 100*k**2 + n*k**5 + 60*k**3 - 2*k**5 = 0. Calculate k.
-1, 0, 5
Let n = 45320 + -45317. Find u, given that 10/3*u**2 + 4*u + 0 - 2/3*u**n = 0.
-1, 0, 6
Let l be 486/(-10935) + 3670/1575. Determine q, given that -2/7*q**2 + l*q - 2 = 0.
1, 7
Let k(o) = o**4 + o - 1. Let c(d) = 3*d**4 + 717*d**3 - 56880*d**2 + 1478406*d + 1535994. Let a(b) = c(b) - 6*k(b). Factor a(l).
-3*(l - 80)**3*(l + 1)
Let k = 516321/5 - 103264. Factor 1/5*a**4 + 1/5*a**3 - k*a**2 + 0 - 1/5*a.
a*(a - 1)*(a + 1)**2/5
Let b = -33 - -45. Factor -38*j**2 + b + 0*j**3 + 3*j**3 - 28*j**2 + 57*j**2.
3*(j - 2)**2*(j + 1)
Let c(h) be the first derivative of -h**5/15 + 13*h**4/3 - 257*h**3/3 + 408*h**2 - 576*h - 7487. Factor c(y).
-(y - 24)**2*(y - 3)*(y - 1)/3
Solve -92/3 + 2*i**2 + 134/3*i = 0.
-23, 2/3
Let b(o) be the third derivative of -o**5/330 - 101*o**4/33 - 40804*o**3/33 - 513*o**2 + 2*o. Factor b(g).
-2*(g + 202)**2/11
Let l(t) = t**2 + 43*t + 123. Let w be l(-40). Suppose -4*n**4 - 456*n**2 + 68*n**2 + 311 + 76*n**w + 180*n + 280 + 57 = 0. Calculate n.
-1, 2, 9
Let h(r) = -r**2 - 18*r + 3. Let y be h(-18). Let q(d) = d**2 - d - 7. Let u be q(-4). Factor -y*b**2 + 16 - 4*b - u + 4*b.
-3*(b - 1)*(b + 1)
Let 3245*q - 99 - 822*q**5 + 4124*q**2 + 5586*q**2 + 9660*q**3 + 3170*q**4 + 99 + 797*q**5 = 0. Calculate q.
-1, 0, 649/5
Suppose 0*a + 3*a - 3*g + 6 = 0, 4*a = -5*g + 37. Factor -3*y + 6*y**2 + 8 - 4*y**2 + 8*y + a*y + 0.
2*(y + 2)**2
Let y be 57/(-76) - (-3)/4. Suppose -4*r - 5 = 4*s + 3, 2*s - 2*r - 12 = y. Suppose 6*p**4 - 29*p + 8*p**3 - 20*p + 49*p - 8*p**s = 0. What is p?
-2, 0, 2/3
Let i(d) = 650*d + 20. Let w be i(-1). Let p = 633 + w. Factor -4/5*x**p + 2/5*x**2 - 2/5*x**4 + 4/5*x + 0.
-2*x*(x - 1)*(x + 1)*(x + 2)/5
Let f(p) be the third derivative of p**6/120 - 3*p**5/4 + 16*p**4/3 - 14*p**3 + 970*p**2. What is z in f(z) = 0?
1, 2, 42
Let p = 27 + -31. Let v be ((-3)/p)/((-12)/(-48)). Find q such that 6 + 3*q - v*q**2 - 7*q + q = 0.
-2, 1
Let k(n) = 10*n**3 + 2*n**2 - n + 1. Let i(r) = -41*r**3 + 44*r**2 - 311*r - 4. Let u(s) = 3*i(s) + 12*k(s). What is f in u(f) = 0?
0, 7, 45
Let v(z) = 4*z**2 - 9*z + 5. Let b = 67 - 72. Let l(d) = -3*d**2 + 6*d - 3. Let p(s) = b*v(s) - 7*l(s). Factor p(x).
(x - 1)*(x + 4)
Let i(o) = 4*o**2 - 6*o - 4. Let a be i(2). Let 0*p**2 - 2/7*p**3 + a + 0*p = 0. Calculate p.
0
Suppose 12*j - 2 = 142. Factor -15120*g**2 - 255*g**4 - 4060*g**3 + 7*g**5 - 31453 - j*g**5 + 3389 + 77760*g - 30256.
-5*(g - 2)*(g - 1)*(g + 18)**3
Let a = 48043 + -528471/11. Determine o so that 0 + 2/11*o**2 - 14/11*o**3 + a*o**5 + 12/11*o - 2/11*o**4 = 0.
-2, -1, 0, 1, 3
Suppose 2*s = 70 + 18. Factor -s*l**3 + 62*l**2 - 100*l + 76*l**2 + 23*l**2 - 21*l**2 + 4*l**4.
4*l*(l - 5)**2*(l - 1)
Let d be 13627/11 - ((-990)/121 - -8). Factor 2692*c**2 - d*c - 620*c - 403*c + 16*c**4 - 317*c**3 + 576 - 83*c**3 - 138*c.
4*(c - 12)**2*(2*c - 1)**2
Let q = -8 + 11. Suppose y = -3*n - 7, -n + 15 = -3*y + 34. Factor 98*p**4 - 111*p**4 + 8*p - p**3 - 5*p**q + y*p**5 + 20*p**2.
p*(p - 2)**2*(p + 1)*(5*p + 2)
Let h(q) be the second derivative of -q**4/48 - 83*q**3/3 - 13778*q**2 - 476*q - 3. Find t such that h(t) = 0.
-332
Let y = 163122203/511217608 - -3048/52943. Let k = -2/1207 + y. Factor 0 + 0*l + 0*l**2 + k*l**3 - 3/8*l**4.
-3*l**3*(l - 1)/8
Let h(m) be the first derivative of 1/9*m**6 - 2/3*m**5 + 0*m + 2/3*m**2 - 14/9*m**3 + 3/2*m**4 + 70. Factor h(f).
2*f*(f - 2)*(f - 1)**3/3
Let v(h) be the third derivative of 1/270*h**5 + 0 - 3*h + 37/27*h**3 + 19/54*h**4 + 45*h**2. Factor v(g).
2*(g + 1)*(g + 37)/9
Let r(t) be the first derivative of -t**3/3 - 1144*t**2 - 1308736*t - 11973. Determine b so that r(b) = 0.
-1144
Factor 0 - 6/7*l**2 + 0*l**3 + 3/7*l**5 + 6/7*l**4 - 3/7*l.
3*l*(l - 1)*(l + 1)**3/7
Suppose 0 = -9*k + 133 + 2. Let b be 1/(5/k*1). Let 10*s**2 - s + 5*s**3 - s - 3*s - 10*s**b = 0. What is s?
0, 1
Suppose 198 = -8*d - 3*d. Let o be d*((-36)/(-30) - 2). Solve -24/5*u + 2/5*u