 9/2*l = 0. What is l?
-1, 0, 6
Let o(q) be the third derivative of -q**6/144 - 4171*q**5/72 - 7252325*q**4/48 - 2415125*q**3/4 - 11864*q**2. Factor o(j).
-5*(j + 1)*(j + 2085)**2/6
Suppose 2*c + 4 - 8 = 0. Let w be (2 - c)*9/18. Suppose -12*u + w*u**3 + 15*u - u**3 - 2*u**3 = 0. What is u?
-1, 0, 1
Factor -2955*x**2 - 2961*x**2 + 5913*x**2 + 483*x + 978.
-3*(x - 163)*(x + 2)
Let g(d) = 2*d**3 + d**2 - 3*d + 3. Let m be g(1). Solve 6*v**3 + v**2 - 9 - 2*v**3 - 5*v**m - 5*v + 14*v = 0.
-3, 1, 3
Let u(b) be the first derivative of 4*b**3/3 + 638*b**2 + 1272*b + 4356. What is g in u(g) = 0?
-318, -1
Let d be (5/2)/(1/6). Suppose 3*u - 104 = -4*w, -2*u + 102 - 30 = 4*w. Factor -o**5 + 88*o**4 + u*o - 168*o**3 + 4*o**4 + 80*o**2 - d*o**5.
-4*o*(o - 2)**3*(4*o + 1)
Let f(v) be the second derivative of v**5/15 - 5*v**4/6 + 63*v**2/2 + v + 1. Let y(k) be the first derivative of f(k). Let y(d) = 0. Calculate d.
0, 5
What is d in -386/9*d**3 - 2/3*d**4 + 1016/9*d - 112/9*d**2 - 512/9 = 0?
-64, -2, 2/3, 1
Let a = -21273 - -21276. Let w(q) be the first derivative of -30 + 9/4*q**2 + 0*q - 1/2*q**a. Find o, given that w(o) = 0.
0, 3
Let x = 34 - 27. Let -153*g**4 - 4 + g**5 - 163*g**4 + x*g**2 - g**3 + 313*g**4 = 0. Calculate g.
-1, 1, 2
Let a(x) = -8*x**2 - 285*x - 1917. Let k be a(-9). Find l such that 2*l**4 - 2/3*l**5 + 0 + k*l - 2*l**3 + 2/3*l**2 = 0.
0, 1
Factor -28754704 - 8748672 + 108*m**2 + 105*m**2 - 24496*m - 217*m**2.
-4*(m + 3062)**2
Let x be 16 - (120/8 - -1). Let i(g) be the second derivative of 0*g**2 - 16*g + 1/8*g**4 + 0*g**3 + x + 1/10*g**5. Find o such that i(o) = 0.
-3/4, 0
Let b(q) be the third derivative of q**7/70 - 1971*q**6/10 + 11654523*q**5/10 - 7657021611*q**4/2 + 15091989595281*q**3/2 - 6154*q**2. Factor b(u).
3*(u - 1971)**4
Suppose -6242*c - 13560*c + 12022*c - 5*c**2 - 3026420 = 0. What is c?
-778
Let i(a) be the second derivative of 3*a**5/20 + 71*a**4/8 - 47*a**3 + 57*a**2 + 1248*a. Factor i(b).
3*(b - 2)*(b + 38)*(2*b - 1)/2
Let n be -10 - ((-1)/(-3) - 83/15)/(396/1980). Factor -n + 88/5*u + 2/5*u**3 - 28/5*u**2.
2*(u - 10)*(u - 2)**2/5
Let g(j) be the third derivative of -1/315*j**7 - 1/9*j**6 + 2*j - 34/45*j**5 + 31*j**2 + 0 + 0*j**3 - 16/9*j**4. Factor g(a).
-2*a*(a + 2)**2*(a + 16)/3
Let h(x) be the first derivative of x**5/90 - x**4/9 - 5*x**3/9 + 26*x**2 - 29. Let a(u) be the second derivative of h(u). What is b in a(b) = 0?
-1, 5
Let n be (-179)/20764*-812 - ((2 + -7)/(-1) + 0). Factor 1/2*p**4 + 3*p**n + 1/2 - 2*p**3 - 2*p.
(p - 1)**4/2
Let a(f) be the third derivative of 1/25*f**5 - 114*f**2 - 8/15*f**3 + 1/300*f**6 - 1/525*f**7 - 1/15*f**4 + 0 + 0*f. Let a(c) = 0. What is c?
-2, -1, 2
Suppose 2*f - 109 = -y, y = -0*y + 3. Let q = f + -50. Suppose 6*t**3 - 3*t**4 - q*t**5 + 153*t - 153*t = 0. Calculate t.
-2, 0, 1
Let q(k) be the second derivative of -3*k**7/28 - 32*k**6/15 + 259*k**5/8 + 2107*k**4/4 - 20923*k**3/3 - 4802*k**2 - 11043*k. Solve q(u) = 0.
-14, -2/9, 7
Let o(v) = 6*v**3 - 2*v**2 - 29*v + 23. Let u(y) = -y**3 + y**2 - y + 5. Let c(x) = 3*o(x) + 15*u(x). Solve c(d) = 0 for d.
-8, 2, 3
Suppose 0 = 6*u - 738 + 702. Let r(n) be the third derivative of -n**4 + 1/32*n**u + 0*n + 0 - 24*n**2 + 3/80*n**5 + 3/2*n**3. Factor r(z).
3*(z - 2)*(z + 3)*(5*z - 2)/4
Suppose 69*n - 30 = 75*n. Let q be 53/(-212) - (n/(-12) - 1). Factor 0*b - q*b**2 + 4/3.
-(b - 2)*(b + 2)/3
Let b(o) be the second derivative of 1/15*o**6 - 3/8*o**4 + 53 + 3*o**2 + 4/3*o**3 + o - 9/40*o**5. Factor b(p).
(p - 2)**2*(p + 1)*(4*p + 3)/2
Let s(p) = -6*p**4 - 23*p**3 - 11*p**2 + 42*p - 2. Let y(c) = c**4 + 4*c**3 + 2*c**2 - 7*c. Let o(x) = 6*s(x) + 38*y(x). Determine z so that o(z) = 0.
-6, -1, 1
Let q(j) = 4*j**2 - j - 2. Let h(i) = 2*i**2 - 147*i - 286. Let f(g) = -2*h(g) + 2*q(g). Factor f(n).
4*(n + 2)*(n + 71)
Solve -3*h**3 + 620*h**2 - 906*h + 990*h - 656*h**2 = 0.
-14, 0, 2
Let f(k) = 13*k**2 + k + 2. Let q(l) = -27*l**2 - 121*l - 788. Let d(i) = 6*f(i) + 3*q(i). Determine u so that d(u) = 0.
-112, -7
Suppose 2*u + 24 = 10*u. Let y(k) = 4*k**2 + 28*k - 100. Let w(i) = -i**2 - 5*i + 20. Let v(z) = u*y(z) + 14*w(z). Let v(f) = 0. What is f?
2, 5
Let g(y) = -4*y**4 - 468*y**3 - 2436*y**2 - 2004*y + 8. Let q(m) = -3*m**4 - 312*m**3 - 1624*m**2 - 1335*m + 5. Let v(c) = 5*g(c) - 8*q(c). Factor v(z).
4*z*(z + 1)*(z + 5)*(z + 33)
Let m(z) be the second derivative of -z**5/80 - 23*z**4/24 + 4*z**3 - 5*z + 166. Factor m(o).
-o*(o - 2)*(o + 48)/4
Let y(z) be the second derivative of z**7/21 + z**6/3 + z**5/10 - 17*z**4/6 - 22*z**3/3 - 8*z**2 + 28*z + 36. Factor y(k).
2*(k - 2)*(k + 1)**3*(k + 4)
Let g = 47/124 - 4/31. Find k, given that -g*k**3 + 0 - 9/4*k - 5/2*k**2 = 0.
-9, -1, 0
Let f be (-94 - (-24 - 64)) + 0 + 12. Find d, given that 0 - 1/5*d**3 + 0*d - f*d**2 = 0.
-30, 0
Suppose -465*f - 450*f**3 + 453*f**3 - 393*f**2 - 316*f - 17*f = 0. What is f?
-2, 0, 133
Let d = -173 - -185. Suppose -d = -t - 9. Suppose 2/9*f + 2/9 - 2/9*f**2 - 2/9*f**t = 0. What is f?
-1, 1
Suppose 22*u = -42*u + 2560. Suppose 2*f = u*f + 64*f. Solve 2/7*h**5 + 0*h + 4/7*h**2 - 4/7*h**4 - 2/7*h**3 + f = 0.
-1, 0, 1, 2
Let n(j) be the third derivative of -71*j**6/105 + 139*j**5/105 - 65*j**4/84 - j**3/14 + 1602*j**2. Solve n(p) = 0 for p.
-3/142, 1/2
Factor 14016/13*r**2 - 129536/13*r + 352/13*r**3 + 2/13*r**4 + 270848/13.
2*(r - 4)**2*(r + 92)**2/13
Suppose -11*f = 7*f + 14508. Let r = -803 - f. What is v in 27/5 + 1/5*v**r + 27/5*v + 9/5*v**2 = 0?
-3
Let m(d) = -d**3 + 50*d**2 + 56*d - 255. Let w be m(51). Suppose w = 105*x - 157 - 53. Solve -12/5*t - 1/5*t**3 + 8/5 + 6/5*t**x = 0.
2
Let k(o) be the third derivative of 0*o**5 + 1/336*o**8 + 1/21*o**7 + 0*o + 0 + 0*o**3 + 2/15*o**6 + 45*o**2 + 0*o**4. Factor k(n).
n**3*(n + 2)*(n + 8)
Suppose -46*q + 36*q - 19800 = 0. Let k be 594/q - 19/(-30). Factor 0 + k*z**2 + 0*z.
z**2/3
Let b(a) = 6*a - 11. Let c be b(11). Let p = 57 - c. Solve -7*x**2 + 4*x**p + 35 + 40*x + 8*x**2 = 0 for x.
-7, -1
Let r be 9 - (5 + 0/(-9 + (10 - 3))). Suppose 1/4*g**r + g + 8 + 5/4*g**3 - 6*g**2 = 0. Calculate g.
-8, -1, 2
Factor 0 - 743424/7*f + 1119360/7*f**2 + 9/7*f**4 - 906*f**3.
3*f*(f - 352)**2*(3*f - 2)/7
Let 0 - 46/9*x**2 + 26/9*x**3 + 22/9*x - 2/9*x**4 = 0. What is x?
0, 1, 11
Suppose 52/7*l + 174/7 - 2/7*l**2 = 0. What is l?
-3, 29
Suppose c + 2*l + 2 = 0, 5*c + 10 = -l + 2*l. Let o be 5 + c + 1*(2 + -1). Factor 22*f**3 + f**o - 16*f**3 - 8*f**3 + f**5.
f**3*(f - 1)*(f + 2)
Let p = 655193 - 655193. Determine i so that 16/5*i**2 + 12/5*i**3 - 14/5*i + p + 2/5*i**5 - 16/5*i**4 = 0.
-1, 0, 1, 7
Let s(z) be the third derivative of z**5/160 + z**4/32 - z**3/2 + 719*z**2. Factor s(c).
3*(c - 2)*(c + 4)/8
Suppose -15 = 214*q - 219*q. Factor 15*o - 2*o + 6 - 10*o - 6*o**2 - q*o**3.
-3*(o - 1)*(o + 1)*(o + 2)
Solve -90/7*k**2 - 99/7*k + 3/7*k**3 + 186/7 = 0 for k.
-2, 1, 31
Suppose 218*c - 223*c = 3*t + 8, -8*c - 48 = -4*t. Factor t - 12*f**2 - 26/5*f.
-2*(5*f - 2)*(6*f + 5)/5
Let l(m) be the first derivative of 3*m**5 + 5*m**4 - 605*m**3/3 + 735*m**2 - 720*m - 5. Suppose l(h) = 0. Calculate h.
-8, 2/3, 3
Determine p so that -466/7*p**2 + 0 + 188/7*p + 272/7*p**3 + 6/7*p**4 = 0.
-47, 0, 2/3, 1
Let z(k) be the third derivative of -11/30*k**6 + 0*k + 0*k**3 - 2/15*k**5 - 4/15*k**7 + 0 - 298*k**2 + 0*k**4. Find t such that z(t) = 0.
-1/2, -2/7, 0
Let f be (-114)/190 - 12/5. Let s be 136/32 - f/4. Find l, given that -2*l + 4*l**2 - 5*l**2 + 2*l**5 + s*l**2 + 4*l**4 - 8*l**4 = 0.
-1, 0, 1
Let b(l) be the second derivative of 3*l + 3 - 1/15*l**6 + 0*l**2 + 18/5*l**5 - 54*l**4 + 0*l**3. Factor b(h).
-2*h**2*(h - 18)**2
Suppose 2*i**2 - 38*i + 2558 - 1277 - 34*i - 1601 = 0. What is i?
-4, 40
Let g(r) = 2*r**2 - 685*r - 34010. Let f be g(-44). Suppose 0 + 1/4*h**3 - f*h**2 - 9/4*h = 0. What is h?
-1, 0, 9
Suppose 12 = -f + 4*f. Let j = 0 - -4. Determine q, given that 129*q**3 + 93*q**2 - 24 + 93*q**2 + 60*q + 24*q**j + 5*q**4 - 2*q**f = 0.
-2, -1, 2/9
Let x(c) be the second derivative of -c**4/36 + 515*c**3/9 + 1031*c**2/6 - c - 835. Factor x(m).
-(m - 1031)*(m + 1)/3
Factor -176*l - 2/9*l**3 + 34/3*l**2 + 6776/9.
-2*(l - 22)**2*(l - 7)/9
Suppose -2*x = -3*m + 7, -80*x = 5*m - 77*x - 18. Let u(w) be the second derivative of 0 - 1/30*w**4 - 4/5