 y(z) be the second derivative of -z**5/80 + 19*z**4/48 - 29*z**3/8 + 117*z**2/8 - z + 26. Solve y(a) = 0 for a.
3, 13
Let a be (7/6 + -1)/(54/31428). Let y be (0 - 1) + (a - 96). Determine z, given that 0 + y*z - 6/5*z**3 - 8/15*z**4 - 4/15*z**2 = 0.
-2, -1/4, 0
Let n(u) be the first derivative of u**4/3 - 24*u**3 + 648*u**2 - 106*u - 87. Let z(p) be the first derivative of n(p). Suppose z(r) = 0. Calculate r.
18
Factor -2*a**2 - 1124*a - 1445*a + 1145*a.
-2*a*(a + 712)
Let j(b) = 5*b**2 - 135*b + 463. Let f be j(23). Suppose 32/7 + 80/7*u + 4/7*u**4 + 72/7*u**2 + 4*u**f = 0. Calculate u.
-2, -1
Suppose -65*c - 60*c + 66*c + 236 = 0. Solve -8/9*k**3 + 10/9 - 4/3*k**2 + 2/9*k**c + 8/9*k = 0 for k.
-1, 1, 5
Let o(m) be the first derivative of 5*m**3/3 - 2485*m**2/2 - 4990*m - 397. Factor o(s).
5*(s - 499)*(s + 2)
Let f(z) = -z**2 + 15*z - 16. Let l be f(14). Let v be (0 + 0)/(4/l). Factor -3*g + 4*g - g**2 + 2*g**2 + v*g**2.
g*(g + 1)
Let h(k) = -24*k**4 - 21*k**3 - 14*k**2 + 7*k + 7. Let t(z) = 16*z**4 + 14*z**3 + 10*z**2 - 5*z - 5. Let q(f) = 10*h(f) + 14*t(f). Suppose q(m) = 0. What is m?
-7/8, 0
Let t(g) be the first derivative of -2*g**6/135 + 4*g**5/15 + 13*g**4/27 + 197*g + 150. Let h(p) be the first derivative of t(p). Factor h(q).
-4*q**2*(q - 13)*(q + 1)/9
Let w(b) be the second derivative of 0 + 4*b**2 - 5/18*b**4 + 1/90*b**6 + 94*b + 1/60*b**5 - 2/9*b**3. Factor w(p).
(p - 2)**2*(p + 2)*(p + 3)/3
Let c(o) be the second derivative of 0 - 5/12*o**3 + 48*o + 1/24*o**4 + 3/2*o**2. Determine d, given that c(d) = 0.
2, 3
Let q(m) be the first derivative of -2*m**3/45 + 331*m**2/15 - 44*m - 1715. Let q(o) = 0. What is o?
1, 330
Let q = -119 + 122. Suppose -4*w + 35 = 2*o + 15, 3*w + q*o = 15. Find r, given that -2*r**3 + 5*r**5 + 8*r**2 - 8*r**w + 8*r**3 - 11*r**4 = 0.
-4, -2/3, 0, 1
Determine a so that 0 + 512/3*a**2 - 46*a**3 + 2/3*a**5 + 520/3*a - 128/3*a**4 = 0.
-2, -1, 0, 2, 65
Suppose 18*s - 14*s - 356 = -2*m, 0 = -s + 2*m + 79. Determine f, given that -151*f**4 - s*f**3 + 42*f**4 + 21*f**5 + 225*f**2 + 72*f**4 - 188*f**4 + 66*f = 0.
-1, -2/7, 0, 1, 11
Let z be (-290)/(-90) + 2/(-9) + 0. Factor b + 6*b**3 - 7*b**3 + 0*b**z.
-b*(b - 1)*(b + 1)
Let b = 1 + -1. Let a be 3*(-37)/296 - (-34)/48. Factor 1/3*p**3 + a*p**2 + 0*p + b.
p**2*(p + 1)/3
Suppose -2*a + 0*a - 8 = 0, -5*q + a = -159. Solve -r**4 - q*r**3 - 2*r + 23*r**3 - 8*r - 17*r**2 = 0.
-5, -2, -1, 0
Let a(j) be the second derivative of -j**6/15 + 2203*j**5/10 - 404801*j**4/2 + 404067*j**3 - j + 3458. Factor a(q).
-2*q*(q - 1101)**2*(q - 1)
Solve 133 - 23*r - 56*r**2 - 392 + 434 - 4*r**3 + 137 - 5*r = 0.
-13, -3, 2
Let l = -107 + 111. Solve -4*f**4 - 6*f**2 + 57*f - 77*f - 25*f**3 - 34*f**2 - f**l = 0 for f.
-2, -1, 0
Suppose -15*q = 5*q + 21*q. Let g be 204/(-21) + 7 + 3*1. Suppose g*p**2 - 3/7*p**3 + 1/7*p**4 + q*p + 0 = 0. What is p?
0, 1, 2
Let z(m) be the third derivative of -m**7/105 + 91*m**6/60 - 353*m**5/30 + 437*m**4/12 - 58*m**3 - 34*m**2. Suppose z(h) = 0. What is h?
1, 2, 87
Suppose 4*o**3 + 602776 - 227*o**2 - 602776 + 963*o**2 = 0. Calculate o.
-184, 0
Let p = -3100 - -3103. Let i(l) be the first derivative of 1/4*l**4 + 0*l - 2/3*l**p + 1/2*l**2 + 16. Factor i(g).
g*(g - 1)**2
Let m(v) be the third derivative of v**8/1176 + v**7/21 + 17*v**6/30 + 103*v**5/35 + 219*v**4/28 + 81*v**3/7 + 591*v**2. Let m(g) = 0. Calculate g.
-27, -3, -1
Factor 1503*q**3 - 1494006 + 1499994*q - 3/2*q**4 - 758991/2*q**2.
-3*(q - 499)**2*(q - 2)**2/2
Let w(a) be the first derivative of a**4/4 + 2148*a**3 + 6920856*a**2 + 9910665792*a - 6146. Solve w(q) = 0.
-2148
Let l(h) be the first derivative of -h**2 - 7*h - 27. Let b be l(-6). Let 3*i**2 - 8 + 3*i**2 + 4*i + 3*i**2 - b*i**2 = 0. What is i?
-2, 1
Let u(j) be the second derivative of -1/15*j**6 - 2*j + j**3 + 1/2*j**5 + 0*j**2 + 53 - 7/6*j**4. Find a such that u(a) = 0.
0, 1, 3
Let g(l) be the second derivative of -4*l**2 + 21*l - 50/3*l**3 - 23/20*l**5 - 47/6*l**4 + 0. Factor g(d).
-(d + 2)**2*(23*d + 2)
Suppose -32/3 - 70*q**2 - 176/3*q - 74/3*q**3 - 8/3*q**4 = 0. What is q?
-4, -1, -1/4
Let i(y) = y**3 - 236*y**2 - 1691*y - 2430. Let q be i(243). Determine h, given that 2/7*h**5 - 8/7*h**2 - 6/7*h + q + 4/7*h**3 + 8/7*h**4 = 0.
-3, -1, 0, 1
Let g(p) be the second derivative of 4 - 2*p - 2/65*p**5 - 1/195*p**6 + 3/26*p**4 - 20/13*p**2 + 16/39*p**3. Solve g(a) = 0.
-5, -2, 1, 2
Suppose -55*w - 2343 = -2*w - 834*w. Suppose -21/8 + 45/2*r**4 - 141/8*r**2 - 3*r**5 - 33/4*r**w + 27/2*r = 0. What is r?
-1, 1/2, 7
Let s(f) be the third derivative of 5*f**8/336 + 3*f**7/2 - 8*f**6/3 - 702*f**2 + 3. Find v, given that s(v) = 0.
-64, 0, 1
Let t(o) be the second derivative of -3*o**5/7 + 151*o**4/21 - 16*o**3/21 - 40*o**2/7 + 5*o + 174. Solve t(k) = 0.
-1/3, 2/5, 10
Let b be -6 + 2 + 2 + -6. Let g = b + 12. Let 2*t**2 + 6*t**4 + 48*t**5 + 0*t**g - 6*t**3 - 50*t**5 = 0. What is t?
0, 1
Let r be 10 - (14 + -9) - 1. Suppose d = 3, 6 = -2*b + 2*d + r. Factor -2/11*v**3 + 128/11 + 24/11*v**b - 96/11*v.
-2*(v - 4)**3/11
Let n = 15550 - 15547. Let d(h) be the third derivative of 2/9*h**n + 0 + 1/180*h**6 + 0*h - 1/12*h**4 + 4*h**2 + 0*h**5. Factor d(b).
2*(b - 1)**2*(b + 2)/3
Let x(z) = -820*z**2 + 3480*z - 395. Let l(k) = 205*k**2 - 870*k + 110. Let r(t) = -9*l(t) - 2*x(t). Find c, given that r(c) = 0.
10/41, 4
Let k(i) be the third derivative of -i**5/360 + 53*i**4/144 + 35*i**3/3 - 1110*i**2. Factor k(s).
-(s - 60)*(s + 7)/6
Determine h so that 1088/13*h - 147968/13 - 2/13*h**2 = 0.
272
Let -79/6*j + 23/3*j**2 + 7/3 - 5/6*j**3 = 0. Calculate j.
1/5, 2, 7
Let j be 1/(-3) + 24310/5610. Find a, given that 0 + 7/6*a**3 + 1/6*a**2 - 5/6*a**j - 1/2*a = 0.
-3/5, 0, 1
Let s(d) be the second derivative of -33 - 1/6*d**4 - 18*d**2 - d + 19/3*d**3. Factor s(y).
-2*(y - 18)*(y - 1)
Let z(r) be the first derivative of 8*r**5 - 1/2*r**2 - 7/6*r**6 - 6*r - 18*r**4 + 46/3*r**3 - 128. Factor z(o).
-(o - 3)*(o - 1)**3*(7*o + 2)
Let f(y) be the first derivative of y**4/42 - 4*y**3/21 + 3*y**2/7 + 93*y - 145. Let j(u) be the first derivative of f(u). Factor j(t).
2*(t - 3)*(t - 1)/7
Let l be (-1 + (-1397)/2)/((-95)/(-38)). Let q = -279 - l. Factor 12/5 + 4/5*n - 12/5*n**2 - q*n**3.
-4*(n - 1)*(n + 1)*(n + 3)/5
Suppose -3424*a + 3418*a = -120. Let x(s) be the second derivative of 0*s**2 - 1/45*s**6 + 0*s**3 - a*s - 1/15*s**5 + 0*s**4 + 0. Factor x(t).
-2*t**3*(t + 2)/3
Solve 268/7*j + 32/7*j**3 - 144/7 - 22*j**2 - 2/7*j**4 = 0 for j.
1, 2, 4, 9
Suppose 27 - 77*o - o**2 - 120*o - 201 + 21*o - o**2 = 0. Calculate o.
-87, -1
Let k(p) be the third derivative of -21*p**2 + 0 - 2/5*p**5 + 3/70*p**7 - 9/28*p**8 - 1/2*p**4 + 0*p + 7/8*p**6 + 0*p**3. Solve k(h) = 0 for h.
-1, -1/4, 0, 2/3
Find w such that 2/7*w**3 - 12*w**2 - 180/7 - 38*w = 0.
-2, -1, 45
Let t(k) = 6*k**2 - 25*k - 11. Let d(c) = 55*c + 21*c - 25 + 12 - 20*c**2 + 45. Let u(x) = -5*d(x) - 16*t(x). Factor u(q).
4*(q + 1)*(q + 4)
What is o in 3700*o**3 + 2*o**2 - 3702*o**3 + 36 + 10*o**2 + 50*o = 0?
-2, -1, 9
Let a(u) be the first derivative of 2*u**6/3 - 32*u**5 + 144*u**4 + 64*u**3/3 - 1184*u**2 + 2304*u - 48. Factor a(k).
4*(k - 36)*(k - 2)**3*(k + 2)
Let k(s) be the first derivative of 5*s**3/3 - 250*s**2 + 12500*s + 870. Factor k(h).
5*(h - 50)**2
Factor 44/9 + 16/3*f**2 + 2/9*f**3 + 10*f.
2*(f + 1)**2*(f + 22)/9
Suppose 0 = -56*u + 55*u + 4. Factor 84*h**3 + 3*h**u - 657*h + 1166 + 257*h**2 + 1021 + 553*h**2 + 3573*h.
3*(h + 1)*(h + 9)**3
Let s(d) be the second derivative of -1/5*d**5 + 0 + 2/3*d**3 + 8*d**2 + 66*d - 4/3*d**4. Factor s(w).
-4*(w - 1)*(w + 1)*(w + 4)
Find y, given that 240*y - 5*y**2 + 24*y**2 + 37*y**2 - 8*y**2 + 169*y**3 - 173*y**3 + 256 = 0.
-2, 16
Let i(q) = -q**3 - q**2 + q - 4. Let t(r) = 3*r**3 + 77*r**2 + 480*r + 416. Let p(a) = -4*i(a) - 2*t(a). Factor p(b).
-2*(b + 1)*(b + 6)*(b + 68)
Let f = -133158 + 665802/5. Factor -9/5 - 3/5*q**2 - f*q.
-3*(q + 1)*(q + 3)/5
Let w(p) be the first derivative of -37/2*p**2 + 1/6*p**6 + 173 + 8/5*p**5 + p**4 - 14*p - 26/3*p**3. Factor w(k).
(k - 2)*(k + 1)**3*(k + 7)
Let n be ((-16)/20)/(2/10*2). Let u be 3/n + (-1197)/(-190). Determine y so that -2/5*y**2 - 72/5 - u*y = 0.
-6
Let u(x) be the third derivative of 0*x + 0*x**3 + 1/330*x**5 - 5