 + 35507 - 35517 = 0, 47 = 4*l + 5*n. Determine h so that -1296/7 + 4/7*h**l + 8*h**2 + 36/7*h = 0.
-9, 4
Let l(g) be the first derivative of g**4/66 - g**3/11 + 2*g**2/11 - 70*g + 20. Let j(o) be the first derivative of l(o). Determine f, given that j(f) = 0.
1, 2
Let c = -25 + 25. Suppose -2*r - r + 27 = c. Factor -10*h**2 + 32*h - r*h**2 + 64*h**2 - 16 - 25*h**2.
4*(h + 2)*(5*h - 2)
Suppose -5*m**4 - 16*m + 47/3*m**3 + 1/3*m**5 + 44/3 - 29/3*m**2 = 0. What is m?
-1, 1, 2, 11
Suppose 0 = -506*b + 471*b. Let r(a) be the third derivative of 0*a**3 + 0*a + 3/40*a**5 - 3*a**2 - 1/8*a**4 + b. Factor r(t).
3*t*(3*t - 2)/2
Let h(w) = -12*w**4 - 872*w**3 - 4752*w**2 - 9320*w - 6128. Let v(j) = 8*j**4 + 580*j**3 + 3168*j**2 + 6213*j + 4086. Let t(x) = -5*h(x) - 8*v(x). Factor t(b).
-4*(b + 2)**3*(b + 64)
Suppose 4*b + 3*m = m + 2, 5*m = -2*b - 11. Let q = -2 - -5. Find o such that -46*o**3 + q*o**b - o**2 + 43*o**3 = 0.
0, 2/3
Let u = -65 + 74. Suppose u*y = -0*y + 45. Factor -2/3*f + 0 + y*f**2 - 28/3*f**3.
-f*(4*f - 1)*(7*f - 2)/3
Let m(a) be the first derivative of 7*a**6/18 - 13*a**5/3 + 69*a**4/4 - 27*a**3 + 9*a**2 + 5353. Factor m(r).
r*(r - 3)**3*(7*r - 2)/3
Let w(t) be the first derivative of t**4/2 - 850*t**3/3 + 44512*t**2 + 274776*t + 8022. What is j in w(j) = 0?
-3, 214
Let y be (-1 + -2 - 0) + 8. What is z in -60*z**3 - 19*z**2 - 33*z**2 + 8*z**y - 14*z**4 + 6*z**2 - 8*z = 0?
-1, -1/4, 0, 4
Solve 4*w**2 - 423*w + 31211 + 1415*w + 30293 = 0 for w.
-124
Let o(u) be the third derivative of -u**6/200 - 119*u**5/50 - 473*u**4/40 - 118*u**3/5 - 136*u**2 + 7*u. Solve o(i) = 0 for i.
-236, -1
Let j(s) be the third derivative of 0 - 1/840*s**7 - 21*s + 1/1344*s**8 + 0*s**3 + 0*s**4 - s**2 + 0*s**6 + 0*s**5. Suppose j(u) = 0. What is u?
0, 1
Factor 0 - 194/5*u - 2/5*u**2.
-2*u*(u + 97)/5
Let o(m) be the first derivative of -m**4/2 + 4*m**3/3 + 19*m**2 - 40*m - 2029. Let o(l) = 0. What is l?
-4, 1, 5
Let c(m) = 374*m + 50493. Let n be c(-135). Factor 0*t + 8/3*t**2 - 12*t**n + 10*t**4 - 7/3*t**5 + 0.
-t**2*(t - 2)**2*(7*t - 2)/3
Factor -3380 + 5*n**3 - 98*n + 423*n + 88263*n**2 - 88153*n**2.
5*(n - 4)*(n + 13)**2
Let f(i) = -10*i - 8. Let m be f(-1). Suppose -m*a = 3*o + 4, a + 16 = 5*o + 1. Let 1 + 1/4*y**o + y = 0. Calculate y.
-2
Let 112 - 2/3*o**2 + 34/3*o = 0. Calculate o.
-7, 24
Let c be -34 + 30 + 302/72. Let u(l) be the third derivative of 0*l + 23/120*l**5 + 0 + 1/9*l**3 - c*l**4 - 7/72*l**6 - 2*l**2 + 5/252*l**7. Factor u(d).
(d - 1)**2*(5*d - 2)**2/6
Suppose 29*g = -4*a + 28*g + 16, 0 = 4*a - 3*g. Let m(u) be the second derivative of 27/20*u**5 + 0*u**a + 0*u**2 + 9/10*u**6 + 0 + 1/2*u**4 - 6*u. Factor m(l).
3*l**2*(3*l + 1)*(3*l + 2)
Let t(l) = 8*l**4 + 31*l**3 - 53*l**2 + 26*l + 6. Let r(h) = 6*h**4 + 28*h**3 - 52*h**2 + 26*h + 4. Let v(a) = 3*r(a) - 2*t(a). Factor v(c).
2*c*(c - 1)**2*(c + 13)
Let k(o) be the second derivative of o**4/32 + 15*o**3/8 - 12*o**2 + 836*o. Factor k(w).
3*(w - 2)*(w + 32)/8
Let w(n) = -29264*n**2 - 29325*n - 72. Let l(r) = -5853*r**2 - 5865*r - 14. Let z(c) = 11*l(c) - 2*w(c). Factor z(j).
-5*(j + 1)*(1171*j + 2)
Let j(w) = -2*w**3 + 3*w**2 + w + 6. Let p be j(0). Let t be 140/15 + p + -6. Factor t*z - 16/3*z**3 + 8/3 - 20/3*z**2.
-4*(z - 1)*(z + 2)*(4*z + 1)/3
Suppose -184 - 596 = -78*c. Factor 75 + c*o + 1/3*o**2.
(o + 15)**2/3
Let i(l) be the second derivative of -13/18*l**4 - 2*l + 0*l**2 + 4/9*l**3 - 7/45*l**6 + 1/2*l**5 + 1 + 1/63*l**7. Factor i(x).
2*x*(x - 4)*(x - 1)**3/3
Suppose -5*m + 3*n = 48, 2*n + 3 = -2*m - 13. Let j be 4 + 8/(-12) + (m - -7). Determine q so that 0 + 2/3*q**2 - 4/3*q - 2/3*q**4 + j*q**3 = 0.
-1, 0, 1, 2
Let g be 1020/18*(11 + 7). Let j = g + -3058/3. Solve 0 + j*a**4 + 0*a - 8/9*a**2 + 0*a**3 + 2/9*a**5 = 0.
-2, 0, 1
Let x = -7993 + 7996. Let k(d) be the first derivative of -25/4*d - 1/12*d**x - 1 - 5/4*d**2. Determine f so that k(f) = 0.
-5
Let k = -14473/3 - -4827. Let j(n) be the first derivative of 4/5*n**4 - 2/5*n - 15 - k*n**3 + 17/10*n**2. Suppose j(r) = 0. What is r?
1/4, 2
Let j(o) be the third derivative of 2*o**7/105 - 11*o**6/30 + 11*o**5/5 - 37*o**4/6 + 28*o**3/3 + 943*o**2. Factor j(d).
4*(d - 7)*(d - 2)*(d - 1)**2
Factor 2*r**2 - 312 - 3*r**2 + 8542*r + 0*r**2 - 8484*r.
-(r - 52)*(r - 6)
Determine t, given that -12 + 16/7*t**3 + 101/7*t + 201/7*t**2 = 0.
-12, -1, 7/16
Let r(m) = 52*m**2 - 148*m + 56. Let p(g) = -60*g + 0*g**2 - 39*g + 2*g**2 + 32*g**2 + 37. Let w(d) = -8*p(d) + 5*r(d). Solve w(c) = 0 for c.
1/3, 4
Let g = 121125/28 + -120131/28. Let 1/4*t**2 + g*t + 5041/4 = 0. Calculate t.
-71
Let y be (-3)/15 + 66/30. Determine j so that -212*j**2 + 511*j**3 + 117*j + 0 + 0 - 481*j**y + 401*j**3 + 1728*j**4 - 6 = 0.
-1, 1/8, 2/9
Let -501 + 260*u**3 - 135*u**2 - 192*u**2 + 1166*u - 262*u**3 = 0. Calculate u.
-167, 1/2, 3
Let t(m) be the second derivative of -15 + 0*m**2 + 1/20*m**4 + 1/5*m**3 + 2*m. Factor t(k).
3*k*(k + 2)/5
Let u(h) be the second derivative of h**6/660 - h**5/15 - h**4/132 + 2*h**3/3 - 5*h**2 + 2*h + 2. Let w(r) be the first derivative of u(r). Factor w(t).
2*(t - 22)*(t - 1)*(t + 1)/11
Let j(n) = 1138*n - 5677. Let l be j(5). Let u(b) be the second derivative of -216*b**2 + 0 - 1/4*b**4 + l*b + 12*b**3. Factor u(z).
-3*(z - 12)**2
Let g(x) be the third derivative of x**5/160 + 2*x**4 + 31*x**3 + 11*x**2 - 6*x. Suppose g(c) = 0. What is c?
-124, -4
Let c(h) be the first derivative of 79 - 23/6*h**3 - 21/2*h**2 + 0*h - 1/8*h**4. Factor c(p).
-p*(p + 2)*(p + 21)/2
Find v, given that -2/3*v**4 + 3340/3*v + 32*v**3 - 318*v**2 - 1200 = 0.
2, 5, 36
Let a be 81/15 - -8 - (-286)/(-22). Solve 0 - 2/5*m - a*m**3 - 4/5*m**2 = 0.
-1, 0
Suppose 5*i = 288 + 97. Let f = -70 + i. What is g in -30*g**3 + g**2 - 8*g + f*g**4 + 2 - 2 + 35*g**2 = 0?
0, 2/7, 2
Let x = 0 - -5. Suppose 2 = 7*q - x*q. Solve -q - 15*c + 4*c - 3*c**4 + 7*c**3 - 3*c**2 + 3 + 8*c = 0.
-2/3, 1
Let w(h) be the first derivative of h**4 - 208*h**3/3 + 102*h**2 - 2581. Suppose w(q) = 0. Calculate q.
0, 1, 51
Let n = 384 - 157. Let y = -225 + n. Factor 1/10*h + 1/10*h**4 + 1/5 - 1/10*h**3 - 3/10*h**y.
(h - 2)*(h - 1)*(h + 1)**2/10
Let l be -4 + (-1 + 9)/2. Let r be (-2 + l)*(-3)/3. Factor 16*a**3 - 6*a**4 + r*a**4 - 2*a**2 - 14*a**2.
-4*a**2*(a - 2)**2
Let u be (-1)/2 - 2*33/(-84). Let j be 32/(-14)*((-26)/(-65) - (-27)/(-30)). Solve -6/7*c**4 - 2/7*c**3 + 2*c**2 + u*c**5 - j + 0*c = 0 for c.
-1, 1, 2
Let n(g) be the third derivative of 7*g**5/540 + 191*g**4/216 + g**3 + 1468*g**2 + 1. Factor n(j).
(j + 27)*(7*j + 2)/9
Let i(j) be the first derivative of -j**6/2 - 219*j**5/5 - 3417*j**4/4 + 6985*j**3 - 17784*j**2 + 18252*j + 881. Determine h so that i(h) = 0.
-39, 1, 2
Let q be 100/30 - (-7 + -9 - -18). Solve 2116/3 + q*k**2 - 184/3*k = 0 for k.
23
Let c(u) be the third derivative of -1/30*u**5 - 1/105*u**7 - 1/40*u**6 + 3*u**2 + 0 + 0*u**3 - 1/48*u**4 + 12*u - 1/672*u**8. Find o such that c(o) = 0.
-1, 0
Let x(f) = -11*f**3 - 10*f**2 - 77*f - 74. Let u be x(-1). Factor 0 + 0*h**2 - 2/23*h**u + 0*h + 10/23*h**3.
-2*h**3*(h - 5)/23
Let z be (-13 - -15) + (-99)/55. Let x(w) be the first derivative of -33 + z*w + 11/5*w**2 + 121/15*w**3. Factor x(k).
(11*k + 1)**2/5
Suppose 10*c**4 - 1503*c**2 - 87*c**4 - 199309*c**3 + 484 + 199922*c**3 + 880*c + 3*c**5 = 0. Calculate c.
-1/3, 2, 11
Let f(s) be the second derivative of -s**6/900 - s**5/15 + 7*s**4/20 + 83*s**3/6 + 5*s + 3. Let l(t) be the second derivative of f(t). Factor l(u).
-2*(u - 1)*(u + 21)/5
Factor 923 + 170*c + 358*c - 2*c**3 - 347 + 3*c**3 - 12*c**2 - 35*c**2.
(c - 24)**2*(c + 1)
Let h(k) be the first derivative of 0*k**2 - 66 - 1/7*k**3 + 0*k + 1/7*k**6 + 3/7*k**4 - 3/7*k**5. Find y such that h(y) = 0.
0, 1/2, 1
Let h be -2*(-9)/(-84)*-2*63/9. Let o(d) be the first derivative of 3/7*d**2 + 1/7*d**h - 5 + 3/7*d. Factor o(l).
3*(l + 1)**2/7
Find y, given that -1/5*y**5 + 0*y + 0 + 1/5*y**4 + 37/5*y**3 + 7*y**2 = 0.
-5, -1, 0, 7
Determine j so that 33/2*j**2 - 3 - 27/2*j**4 - 2*j**5 + 17/2*j - 13/2*j**3 = 0.
-6, -1, 1/4, 1
Let m be 5*((-295)/25 - -14). Let f(i) be the first derivative of 10/7*i**2 - 2/21*i**3 - 50/7*i - m. Let f(y) = 0. Calculate y.
5
Factor -2916 - 3/2*f**4 - 5913/2*f - 243/2*f**3 - 2025/2*f**2.
-3*(f + 3)**3*(f + 