Let r(d) = a*i(d) - 9*v(d). Find n, given that r(n) = 0.
-1, 0
Suppose 2/11*c**3 - 121032/11 - 986/11*c**2 + 122016/11*c = 0. Calculate c.
1, 246
Find x, given that -41/4*x**3 - 1597/8*x**2 - 1/8*x**4 + 861/2*x - 441/2 = 0.
-42, 1
Determine o so that -o**4 + 96 + 119*o + 165*o - 25*o**3 + 148*o - 332*o - 20*o**2 = 0.
-24, -2, -1, 2
Let s(y) be the second derivative of -y**5/5 - 86*y**4/3 - 4760*y**3/3 - 41616*y**2 - 14014*y. Determine d, given that s(d) = 0.
-34, -18
Suppose 2*l = 30*f - 148, 3*f - 50*l + 16 = -52*l. Determine h so that -4/3 - 4/3*h**3 + 2/9*h**5 - 4/9*h**f + 10/9*h + 16/9*h**2 = 0.
-2, -1, 1, 3
Suppose -3*u + 28 = -4*q, -6*u + 23 = -3*u + q. Suppose u*z - 6*z = 4. Find g, given that -1608*g**3 - 4*g**4 - g - 4*g**2 + g**5 + 1602*g**3 - z*g**5 = 0.
-1, 0
Let p = 15451 + -15415. Suppose -5*o + 25 = -10*o, -5*o = -2*h + 33. Find v such that -4*v**5 - 2*v - 29*v**4 + p*v**h - 3*v**2 - 4*v**2 + 6*v**3 = 0.
-1, -1/4, 0, 1, 2
Suppose 3286970 + 4444*j + j**2 - 848*j - 54166 = 0. What is j?
-1798
Let k(m) = -12*m**2 + 132*m + 272. Let p(j) = j**2 - 2*j - 3. Let b(d) = -k(d) - 8*p(d). Let b(s) = 0. What is s?
-2, 31
Let l(f) be the first derivative of 0*f**2 + 5*f**3 + 5/4*f**4 + 0*f + 9. Factor l(j).
5*j**2*(j + 3)
Suppose 5*j - 10 = -4*f, -3*j + 5*f + 10 = 2*j. Let i(a) = 69*a - 138. Let h be i(j). Solve 2/17*o**5 - 2/17*o**3 - 2/17*o**2 + h + 0*o + 2/17*o**4 = 0 for o.
-1, 0, 1
Let c(w) be the first derivative of 81/10*w**2 - 71 - 81/5*w - 9/5*w**3 + 3/20*w**4. Factor c(o).
3*(o - 3)**3/5
Let x(b) = 300*b**3 + 480*b**2 - 2018*b - 7. Let i(s) = 215*s**3 + 320*s**2 - 1345*s - 5. Let q(a) = -7*i(a) + 5*x(a). Factor q(v).
-5*v*(v - 27)*(v - 5)
Let m be 2 - -4 - (22 + (-2432)/57). Let -m - 2/3*d**2 - 44/3*d = 0. What is d?
-20, -2
Let b be (-16540)/(-25) + 0 - 2/(-5). Suppose 3*x = -4*k + 2*k + b, 0 = -2*x - 4. What is m in -2*m**4 - k*m**5 + 335*m**5 + 3*m**3 - 2*m**3 = 0?
0, 1
Let c(q) be the second derivative of 4/5*q**2 - 1/10*q**4 + 1/50*q**5 + 1 + 0*q**3 - 12*q. Factor c(f).
2*(f - 2)**2*(f + 1)/5
Let j(l) = -23*l**2 - 1 - 5*l - 31*l**2 + 50*l**2. Let f(u) = -16*u**2 - 19*u - 3. Let k(r) = 2*f(r) - 9*j(r). Find p, given that k(p) = 0.
-1, -3/4
Suppose -564*h - p = -558*h - 12, -2*h - 5*p = 52. Factor 0*v - 14/9*v**3 + 0 - 2/3*v**2 - 2/9*v**5 - 10/9*v**h.
-2*v**2*(v + 1)**2*(v + 3)/9
Let q(d) be the first derivative of -9*d**3/2 - 483*d**2/4 + 27*d - 758. Factor q(i).
-3*(i + 18)*(9*i - 1)/2
Let g = -35 - -55. Let j be 6/(-15)*g/(-4). Factor 0*c**2 + 6*c**j + 3*c**4 + 2*c - c**4 + 0*c**4 + 6*c**3.
2*c*(c + 1)**3
What is p in -1125/4 - 200*p - 105/2*p**2 - 6*p**3 - 1/4*p**4 = 0?
-9, -5
Let z(o) = -9*o**3 - 627*o**2 - 19147*o + 63371. Let n(u) = 8*u**3 + 629*u**2 + 19154*u - 63372. Let v(q) = -4*n(q) - 3*z(q). Find x, given that v(x) = 0.
-65, 3
What is o in -63*o**3 + 64 + 20*o**4 + 169*o**3 + 176*o - 86*o**3 - 112*o**3 = 0?
-1, -2/5, 2, 4
Let t(f) = -f**3 + 4*f**2 + 3. Let b be t(4). Let r be 2*(b - (0 + 2)). Let -69 + 69 - r*c**2 + 4*c**3 - c**3 - c**4 = 0. What is c?
0, 1, 2
Suppose 0*h = 4*d + 3*h - 138, -3*d - 2*h = -104. Solve -11*f**5 - 254*f**2 + d*f**3 + 242*f**2 - 10*f**5 + 27*f**4 = 0.
-1, 0, 2/7, 2
Suppose -27 = -2*i - 3*m, 1 = i + 2*m - 3*m. Let k be (-185)/(-222) + 7/6. Let -9/2*s**k + 9*s - i + 3/4*s**3 = 0. What is s?
2
Let g(j) = 4*j**3 + 2*j**2 - 1. Let s be g(1). Suppose 0*f + s*f = -2*z + 31, 17 = 4*z + f. Factor 3/2 - 33/4*l - 3*l**z + 39/4*l**2.
-3*(l - 2)*(l - 1)*(4*l - 1)/4
Suppose 40 - 148 = 34*a - 70*a. Let u(f) be the first derivative of 1/6*f**2 + 2/3*f + 2 - 1/9*f**a. Factor u(g).
-(g - 2)*(g + 1)/3
Let z be 28*((-1717)/1190 - (-6)/4). Factor 22/15*o + z - 2/15*o**2.
-2*(o - 12)*(o + 1)/15
Let z(x) be the third derivative of -x**8/1344 - x**7/168 + 79*x**6/80 - 1631*x**5/120 - 473*x**4/96 + 1089*x**3/8 + 6634*x**2. Solve z(o) = 0 for o.
-27, -1, 1, 11
Let n be (-84)/(-112)*(-8)/(-12)*(1 - -7). Let d(h) be the second derivative of 3/2*h**2 + 1/36*h**n + 0 + 34*h + 5/9*h**3. Suppose d(v) = 0. What is v?
-9, -1
Suppose -8*y + 24 = 4*a - 12*y, -5*a + 58 = 2*y. Let n be (-4)/20 + 22/a. Factor -2*f + 8/3 - 2/3*f**n.
-2*(f - 1)*(f + 4)/3
Let k(x) = 29 + 2*x**2 - 5 + 11*x + 4*x**2 + x. Let q(f) = f**2 - 4*f. Let c(p) = k(p) - 2*q(p). Determine g so that c(g) = 0.
-3, -2
Let n(b) = -b**2 - 53*b + 166. Let k be n(3). Let z be k*6/24*0. Factor z + 12/5*d**2 + 16/5*d**3 + 4/5*d**4 + 0*d.
4*d**2*(d + 1)*(d + 3)/5
Suppose 4*g = g + 9, 153 = 2*d + 5*g. Let y = -13 - -62. Determine p, given that -21*p**4 + p - p + y*p**2 + d*p**3 - 67*p**2 = 0.
0, 2/7, 3
Let w be (-46 + 44)*-3*2/24. Factor 0 + 0*u + w*u**2 + 1/8*u**3.
u**2*(u + 4)/8
Let z(l) = 14*l**2 - 18*l + 82. Let o(h) = 24*h**2 - 38*h + 160. Let j(p) = 3*o(p) - 5*z(p). Determine r so that j(r) = 0.
5, 7
Suppose -4*n = -5*h + 252 - 224, 4*h = 2*n + 26. Determine l so that -10/9*l**4 + 10/9*l**2 + 0 - 2*l**n + 14/9*l**5 + 4/9*l = 0.
-1, -2/7, 0, 1
Let u(y) be the third derivative of y**7/42 + 49*y**6/24 + 285*y**5/4 + 10125*y**4/8 + 11250*y**3 - 2*y**2 - 54*y + 8. Factor u(z).
5*(z + 4)*(z + 15)**3
Find p, given that -2/5*p**4 + 32/5*p**3 - 224/5*p - 26 - 12*p**2 = 0.
-1, 5, 13
Let f(q) = 164*q - 12. Let t be f(-1). Let u be 2/9 - t/72. Let -1/3*b**5 - 4/3*b**2 + 0 + 0*b - u*b**3 - 5/3*b**4 = 0. Calculate b.
-2, -1, 0
Let q = 250 - 219. Let 20*t + 32*t**3 + 9*t**2 - 11*t**3 - 60*t**2 - 18 - 3*t**4 + q*t = 0. What is t?
1, 2, 3
Let k(a) be the first derivative of 25*a**6/6 + 23*a**5 + 25*a**4/2 - 40*a**3/3 + 6700. Solve k(w) = 0 for w.
-4, -1, 0, 2/5
What is h in 0 - 15*h**4 - 3/2*h**5 + 117/2*h**3 - 78*h - 6*h**2 = 0?
-13, -1, 0, 2
Let r be (-27)/(-2) + (2 + 1)/((-141)/(-188)). Determine u, given that -2*u**4 - 87/2*u**2 + r*u**3 + 10 + 28*u = 0.
-1/4, 2, 5
Let i(u) = -11*u**2 + 20*u + 13. Let d(q) = -155*q**2 + 280*q + 180. Let p be 2 + 996/(-6)*(-1)/2. Let m(s) = p*i(s) - 6*d(s). Solve m(c) = 0 for c.
-1, 5
Let p = 11108/14813 + 7/59252. Solve p*u**2 + 34347/4 + 321/2*u = 0 for u.
-107
Let v(o) = 25*o**2 - 5. Let r(a) = -a**2 + 1. Let i(y) = 5*r(y) + v(y). Let w be i(-1). Factor -22*u**3 + w*u**3 + 2*u**4 + 0*u**4.
2*u**3*(u - 1)
Let b = -62692 + 62694. Factor 0*j - 1/4*j**3 + j**b + 0.
-j**2*(j - 4)/4
Suppose -2*i + 32 = 5*h - 42, 5*i = -2*h + 38. Let y = 110 + -56. Factor -r**2 - h*r**2 + 6*r + 45*r**3 - y*r**3.
-3*r*(r + 2)*(3*r - 1)
Suppose 96*o = 95*o - 19. Let t be ((-10 - o) + -6)/(9/2). Suppose t*r**2 - 2/9*r**3 + 2/9*r - 4/9 - 2/9*r**4 = 0. What is r?
-2, -1, 1
Let r(h) = -2*h + 9. Let u be r(3). Suppose u*k - 58 = -y, -2*y + 2*k = -24 - 68. Suppose 104*v - 51*v - y*v - 4*v**2 = 0. Calculate v.
0, 1
Let w(x) be the first derivative of x**6/39 - 6*x**5/13 + 75*x**4/26 - 250*x**3/39 + 2552. Find j such that w(j) = 0.
0, 5
Let d = 70391/30695 + -33/4385. What is t in 24/7 - d*t + 2/7*t**3 - 2/7*t**2 = 0?
-3, 2
Let q be 3/(-12)*241/(-241). Factor q*w**3 + 169/4 - 25/4*w**2 + 143/4*w.
(w - 13)**2*(w + 1)/4
Let r(u) = 6*u - 17. Let f be r(10). Let j = f - 29. Factor 8*v**3 + 2*v**4 + 0*v**2 + 2*v**5 - j*v**3 + 4*v - 2*v**2.
2*v*(v - 1)**2*(v + 1)*(v + 2)
Let f(c) be the second derivative of 98*c**7/3 - 24304*c**6/3 + 532931*c**5 + 2313830*c**4/3 + 1327880*c**3/3 + 126736*c**2 + 967*c. Factor f(v).
4*(v - 89)**2*(7*v + 2)**3
Let v(w) be the first derivative of -3/10*w**5 + 0*w**2 - 1/12*w**6 + 12 - 2*w + 7/6*w**3 + 1/8*w**4. Let v(m) = 0. What is m?
-2, -1, 1
Let k(q) be the first derivative of 3*q**5/20 + 7*q**4/4 - 17*q**3/2 + 27*q**2/2 - 32*q + 95. Let o(b) be the first derivative of k(b). Factor o(z).
3*(z - 1)**2*(z + 9)
Let s = 86 + -76. Let n be 2/s - -6 - (-1)/(-5). Let -4 - 3*q**2 + 13 + 0*q + n*q = 0. What is q?
-1, 3
Suppose -5*h = -5*a + 125, 2*h = -4*a + 2*a + 42. Let u(t) be the first derivative of -8*t**2 - 12 - 147*t + 10*t**2 - a*t**2 - t**3. Factor u(w).
-3*(w + 7)**2
Let f(j) be the third derivative of -10*j**2 + 0*j - 1/240*j**5 + 11/6*j**3 + 7/96*j**4 - 6. Factor f(s).
-(s - 11)*(s + 4)/4
Let q = 251/223 + 1421/1115. What is w in -16/5 + 44/5*w**3 - 16/5*w**4 + q*w**2 - 64/5*w = 0?
-1, -1/4, 2
Let w(r) be the third derivative of -r**7/105 - 4*r**6/5 - 9*r**5/2 + r**4/3 + 60*r**3 - 22*r**2 - 3*r - 3. Let w(j) = 0. What is j?
-45, -2, 1
Let