 131*m - 392. Let w(z) = 2*d(z) - t(z). Find v such that w(v) = 0.
-130, -3
Let n be 29/((-261)/108) - 14112/(-1029). Suppose -5*h = 0, 6 = 3*s + h - 2*h. Factor 6/7*j**s - n - 2*j.
2*(j - 3)*(3*j + 2)/7
Factor 40/3*z**2 + 24*z + 2/3*z**3 + 0.
2*z*(z + 2)*(z + 18)/3
Let z be (-1 - 8082/(-14)) + 56/(-196). Let d(f) = f**3 + 3*f**2 - 7*f + 8. Let x be d(2). Factor 105*u + 5*u**2 - u**2 - x*u + 5*u + z.
4*(u + 12)**2
Let g(n) be the first derivative of -n**6/2 - 121*n**5/10 - 129*n**4/8 + 83*n**3/6 + 135*n**2/4 + 19*n + 171. Suppose g(a) = 0. Calculate a.
-19, -1, -2/3, -1/2, 1
Let d be 171/513*(0 - -12). Let o(z) be the second derivative of 12*z + 2/15*z**6 - z**d - 10/3*z**3 + 1/5*z**5 - 4*z**2 + 0. Factor o(s).
4*(s - 2)*(s + 1)**3
Let l(x) be the first derivative of -2*x**3/15 - 1837*x**2/5 - 399. Factor l(q).
-2*q*(q + 1837)/5
Determine g so that 7/8*g**2 + 14 + 53/4*g = 0.
-14, -8/7
Let k be (-1)/(-2)*8685*16/(-12). Let p = k - -86894/15. Let 194/15*o - p - 14/15*o**3 - 136/15*o**2 = 0. What is o?
-11, 2/7, 1
Let i(x) be the first derivative of -x**6/120 + 7*x**5/60 - 11*x**4/24 + 5*x**3/6 - 59*x**2/2 + 41. Let s(w) be the second derivative of i(w). Factor s(h).
-(h - 5)*(h - 1)**2
Let j = -1115 + 1121. Let h(z) be the second derivative of 2/21*z**7 + 33*z - 1/5*z**5 + 0*z**j + 0*z**4 + 0*z**3 + 0*z**2 + 0. Factor h(k).
4*k**3*(k - 1)*(k + 1)
Suppose 383*u - 371 = 330*u. Let q(x) be the first derivative of 3/20*x**2 + 2/5*x + u - 1/30*x**3. Determine p so that q(p) = 0.
-1, 4
Let c(b) be the first derivative of -b**3/4 + 849*b**2/8 - 423*b/2 + 1983. Factor c(o).
-3*(o - 282)*(o - 1)/4
Let a(f) be the third derivative of -32*f**2 + 0 + 40/3*f**3 + 0*f - 46/9*f**4 + 1/15*f**5. Factor a(x).
4*(x - 30)*(3*x - 2)/3
Let g = -643243836120/38587197691 - 4/185813151. Let o = -2/623 - g. Find n, given that 64*n + 80*n**3 + 32/3 + 368/3*n**2 + o*n**4 = 0.
-2, -2/5
Let l(a) be the third derivative of -2*a**7/105 + 2916*a**6/5 - 38263752*a**5/5 + 55788550416*a**4 - 244019119519584*a**3 + 13609*a**2. Factor l(u).
-4*(u - 4374)**4
Let q be ((1 + 3)/8)/(10/(-4)). Let g = 163/15 + q. Factor -g - 98/3*a**2 - 112/3*a.
-2*(7*a + 4)**2/3
Let c(n) = -n**3 - 8*n**2 - 9*n - 8. Let q be c(-7). Let l(h) be the first derivative of 7 - h**3 + 3/2*h**2 + q*h. Factor l(s).
-3*(s - 2)*(s + 1)
Let b be (1166/(-42) + 1037 + -1014)*-15. Factor b - 2/7*l**4 - 50/7*l + 26/7*l**3 - 90/7*l**2.
-2*(l - 5)**3*(l + 2)/7
What is l in 273*l + 912 - 3*l**2 - 16*l - 41*l = 0?
-4, 76
Let q be (-3 - -59)*(-1)/(-2). Let c = q + -24. Factor 5*b**5 - 24*b**3 + 4 + 23*b**3 - 4*b**5 - 7*b**2 + 3*b**c.
(b - 1)**2*(b + 1)*(b + 2)**2
Let f = 14877/3752 + -1332/469. Factor 255/8*c + 87/4 - f*c**2.
-3*(c - 29)*(3*c + 2)/8
Let z(s) = 3*s**2 + 10*s + 7. Let o(i) = 8*i**2 + 30*i + 22. Let l(h) = -4*o(h) + 11*z(h). Factor l(j).
(j - 11)*(j + 1)
Let i(q) be the first derivative of -q**4/10 - 194*q**3/15 + 98*q**2/5 + 5009. Solve i(u) = 0 for u.
-98, 0, 1
Let k(q) be the first derivative of -q**4/24 - 7*q**3/9 + 104*q**2/3 - 320*q + 4024. Solve k(b) = 0 for b.
-30, 8
Suppose 5*i = -k + 6, 3*k = 2*i + i. Let u be i - (4 - (-25)/(-5)). Factor 5*t**4 + 5 + 20*t**3 - 10*t**2 + 15*t**u + 25*t**2 + 4*t + 16*t.
5*(t + 1)**4
Let y(d) be the first derivative of 11*d**6/2 + 237*d**5/5 + 339*d**4/4 - 59*d**3 - 186*d**2 - 60*d - 1391. Determine c, given that y(c) = 0.
-5, -2, -1, -2/11, 1
Suppose 613*a = 572*a. Let m(w) be the third derivative of -7/12*w**4 - 10/3*w**3 + a + 0*w + 34*w**2 - 1/30*w**5. Factor m(n).
-2*(n + 2)*(n + 5)
Let g(h) = -6*h - 96 + 169 - 113. Let t be g(-7). Factor 8 - 2*u**3 - 5 - 5*u - 11*u + 10*u**t + 5.
-2*(u - 2)**2*(u - 1)
Let w be (-224)/48*(-4)/((-8)/(-3)). Let g(i) = -8*i**3 + 25*i**2 - 33*i + 23. Let h(t) = 4*t**3 - 13*t**2 + 17*t - 11. Let z(q) = w*h(q) + 3*g(q). Factor z(p).
4*(p - 2)*(p - 1)**2
Let m(r) be the second derivative of r**4/12 - 3*r**3/2 - 35*r**2 + 507*r - 3. Solve m(n) = 0.
-5, 14
Suppose 112 = -9*o + 25*o. Suppose -o + 33 = 13*c. Let 14/3*u**5 - 6*u**4 - 10/3*u**3 + 6*u**c - 4/3*u + 0 = 0. What is u?
-1, 0, 2/7, 1
Let g be ((-8)/6)/((-22)/462). Let w be (-35)/10*(-16)/g. Solve 1/2*x**5 + 4 - x**w - 3*x**4 - 6*x + 11/2*x**3 = 0.
-1, 1, 2
Suppose 431 + 26 + 53 + 2*g**3 - 6*g**2 - 506*g = 0. Calculate g.
-15, 1, 17
Suppose -75*y = -70*y. Suppose -t - 5*u - 10 = 0, -4*t + 4 = -2*t - 2*u. Determine j so that 2/13*j**3 + 0*j**2 + t*j + 0 - 2/13*j**5 + y*j**4 = 0.
-1, 0, 1
Suppose h - 6*h + 30 = 0. Let i be (8/30)/(8 - 44/h). Factor 1/5 - 1/5*d**4 + 2/5*d**3 + 0*d**2 - i*d.
-(d - 1)**3*(d + 1)/5
Let v(n) = -4*n**3 + 502*n**2 + 275*n - 2896. Let x be v(126). Determine u, given that 18/11*u - 16/11*u**x + 2/11*u**3 + 36/11 = 0.
-1, 3, 6
Let y(h) be the second derivative of -3 + 7*h + 2/5*h**2 - 1/15*h**3 - 1/30*h**4. Solve y(c) = 0 for c.
-2, 1
Determine t, given that 171*t + 146*t**2 + 35*t**2 + 5*t**3 + 9*t**2 - 101*t + 290*t = 0.
-36, -2, 0
Let w(v) be the first derivative of -2*v**5/5 + 7*v**4/2 + 66*v**3 + 297*v**2 + 540*v - 3802. Factor w(z).
-2*(z - 15)*(z + 2)*(z + 3)**2
Suppose -42*f + 96 = -10*f. Let -17*q**2 - 139 - 31*q - 156 - 2*q**f + 315 = 0. What is q?
-5, -4, 1/2
Let q be 11/((-264)/18)*(-16)/60. Let v(h) be the second derivative of 0*h**2 + 0 - 11/30*h**5 - q*h**6 - 1/9*h**4 + 37*h + 0*h**3. Factor v(x).
-2*x**2*(x + 1)*(9*x + 2)/3
Let j(f) be the third derivative of -f**5/12 + 5*f**4/4 + 100*f**3/3 - 79*f**2 + f. Factor j(r).
-5*(r - 10)*(r + 4)
Let h(d) be the second derivative of -d**7/42 + 2*d**6/15 - d**5/4 + d**4/6 - 2*d + 2121. Let h(j) = 0. What is j?
0, 1, 2
Let w(a) be the second derivative of -a**7/1260 + 7*a**6/720 + a**5/45 - 171*a**2/2 + 9*a + 6. Let p(y) be the first derivative of w(y). Solve p(q) = 0 for q.
-1, 0, 8
Solve 1/5*j**2 - 22/5*j - 48 = 0 for j.
-8, 30
Suppose -3*g = 4*l - 25, -l - 16*g = -21*g - 12. Let k(m) be the first derivative of -4/15*m**3 + 0*m - 3/10*m**2 - l - 1/20*m**4. Factor k(c).
-c*(c + 1)*(c + 3)/5
Let t be (1 - -1) + -7 - (-16 - -11). Suppose t = -c + 3*c. Factor -10/9*x + 2/9*x**3 + 8/9*x**2 + c.
2*x*(x - 1)*(x + 5)/9
Let f(t) be the first derivative of -35/2*t**2 + 75/2*t - 122 - 5/6*t**3. Let f(q) = 0. What is q?
-15, 1
Let h be (-91)/(-52)*(30/21 + (14 - 15)). Let f(p) be the first derivative of 4/3*p**3 + 35 + 0*p**2 + 0*p - h*p**4 - 1/5*p**5. Suppose f(b) = 0. Calculate b.
-4, 0, 1
Let j(y) be the second derivative of -3*y**2 - 1/28*y**4 + 0 + 9/14*y**3 + 25*y. Determine m, given that j(m) = 0.
2, 7
Suppose -80*k + 4*r - 172 = -83*k, -3*k = -13*r - 257. Suppose -c = 3*c - 2*l - 10, 0 = 2*c + 2*l - 8. Factor 4/3*n**c + 256/3 + k*n - 20*n**2.
4*(n - 8)**2*(n + 1)/3
Suppose -16 = -2*s - 2*s. Suppose 39 = s*p + 7. Let 5*h**5 + 4*h - 1 + 8 - 3 - p*h**2 + 4*h**4 - 8*h**3 - h**5 = 0. Calculate h.
-1, 1
Let f(o) be the first derivative of 3*o**4/4 - 28*o**3 + 621*o**2/2 - 540*o + 1611. Factor f(q).
3*(q - 15)*(q - 12)*(q - 1)
Let f(j) be the third derivative of -432/13*j**3 + 2*j**2 + 0*j - 6/13*j**4 + 89 - 1/390*j**5. Find c such that f(c) = 0.
-36
Let s = -17964 + 17967. Factor 0*q + 0 - 1/2*q**2 + 1/4*q**s.
q**2*(q - 2)/4
Let a(l) be the first derivative of -3*l**4/4 - 7*l**3 + 1551*l**2/2 - 10527*l + 10495. Factor a(b).
-3*(b - 11)**2*(b + 29)
Suppose 5*n - 6 = -3*g, 0*g - g = n. Suppose -4 = -3*s - l + 10, s + n*l - 10 = 0. Factor 3/2*x**s + 0*x**3 + 0 + 3*x - 9/2*x**2.
3*x*(x - 1)**2*(x + 2)/2
Let h(j) = -10 + 5 + 6 + 2*j**2. Let c be h(-1). What is l in -c*l**4 + 5 - 43*l**5 + 40*l**5 + 4 - 15*l - 6*l**2 + 18*l**3 = 0?
-3, -1, 1
Factor 1/4*u**3 - 1/8*u**5 + 0*u + 1/8*u**4 + 0*u**2 + 0.
-u**3*(u - 2)*(u + 1)/8
Let c be 7 + (48/8 - 21) + 8. Let o(i) be the first derivative of -1/3*i**6 + 0*i**2 + c*i**4 + 8/5*i**5 + 0*i + 0*i**3 + 3. Factor o(u).
-2*u**4*(u - 4)
Let d be ((-16)/5)/((-274)/(-21235)). Let a = -246 - d. Factor -1/3*m**4 + 1/3*m**a - 1/3*m + 0 + 1/3*m**3.
-m*(m - 1)**2*(m + 1)/3
Let l(u) be the second derivative of -u**7/42 + 5*u**6/12 - 13*u**5/12 - 5*u**4 - 31*u**2/2 + 26*u + 2. Let d(x) be the first derivative of l(x). Factor d(s).
-5*s*(s - 8)*(s - 3)*(s + 1)
Let m(k) be the second derivative of -k**4/24 + 41*k**3 - 15129*k**2 - 4083*k. Determine r so that m(r) = 0.
246
Let f(d) = -d**4 