or f.
-1, 0, 1
Suppose x + 38 = 4*d, 3*x - 6*x + 4*d - 122 = 0. Let n = -37 - x. Let 1/3*g + 1/2*g**3 - 1/6*g**n + 1/6*g**4 - 5/6*g**2 + 0 = 0. Calculate g.
-2, 0, 1
Suppose -d = -4 - 1. Let f be (-3 + d - 5)/(-1). Suppose -20*k**f + 68*k**2 - 29*k - 11*k - 24*k + 16 = 0. What is k?
2/5, 1, 2
Let n(f) = -2*f + 2*f - 4 - 9*f**2 - 12*f + 2*f - f**3. Let w be n(-8). Determine g so that 10*g**5 + 24*g - w*g**4 + 18*g**4 + 0 + 2*g**2 - 34*g**3 - 8 = 0.
-2, -1, 2/5, 1
Let v be ((-60)/980*-14)/(3/7). Let 10/3*c**v + 0 + 5/3*c**3 + 0*c = 0. Calculate c.
-2, 0
Let w(r) be the first derivative of 2*r**6/3 + 68*r**5/5 + 63*r**4 - 108*r**3 - 25. Factor w(s).
4*s**2*(s - 1)*(s + 9)**2
Solve 39546 + 78*b**2 + 3042*b + 2/3*b**3 = 0 for b.
-39
Factor 4/7*h**4 + 92/7*h - 12/7*h**2 - 8 - 4*h**3.
4*(h - 7)*(h - 1)**2*(h + 2)/7
Factor 80*w - 149 + 70 + 92 - 5*w**2 + 32 + 135.
-5*(w - 18)*(w + 2)
Factor 682/3*x + 242 - 130/9*x**2 + 2/9*x**3.
2*(x - 33)**2*(x + 1)/9
Let f = -57 - -56. Let k be (-4 - -2)/f - (-2 + 4). Factor 0*n - 1/3*n**2 + 0 + k*n**3 + 1/3*n**4.
n**2*(n - 1)*(n + 1)/3
Determine j so that 2/15*j**4 - 2/15*j**2 + 0 + 2/15*j - 2/15*j**3 = 0.
-1, 0, 1
Let z(s) be the second derivative of -s**8/560 + 3*s**7/280 - s**5/10 + 5*s**3/3 + 45*s. Let a(h) be the second derivative of z(h). Solve a(d) = 0 for d.
-1, 0, 2
Let n = -229/4 + 2065/36. Let s(f) be the second derivative of 1/18*f**4 - 11*f + 0*f**2 - n*f**3 + 0 + 1/30*f**5 - 1/45*f**6. Factor s(x).
-2*x*(x - 1)**2*(x + 1)/3
Let o(f) = 36*f**4 + 6*f**3 - 120*f**2 + 63*f. Let h(r) = -5*r**4 - r**3 + 17*r**2 - 9*r. Let c = 94 + -96. Let a(g) = c*o(g) - 15*h(g). Factor a(t).
3*t*(t - 1)**2*(t + 3)
Let j = 11177 + -11175. Factor -1/2 - 1/2*n**j - n.
-(n + 1)**2/2
Let k = -6047/2 - -3024. Factor -2*w - 4 + 5/2*w**3 + k*w**4 + 3*w**2.
(w - 1)*(w + 2)**3/2
Let p(f) be the third derivative of 3*f**7/490 - 61*f**6/840 + 13*f**5/42 - 19*f**4/42 - 4*f**3/7 + 2*f**2 - 4*f. Factor p(s).
(s - 3)*(s - 2)**2*(9*s + 2)/7
Let s(u) = 2*u**2 - u. Let x(f) = 5*f**3 - 2*f**2 - 99*f + 90. Let j(t) = 6*s(t) + x(t). Find k such that j(k) = 0.
-6, 1, 3
Suppose -5*x = 17*x - x. Let k(d) be the second derivative of -1/4*d**4 + 9*d + 1/2*d**3 + x + 3*d**2. Let k(n) = 0. What is n?
-1, 2
Let o(p) be the second derivative of -3*p**5/80 - 265*p**4/16 - 33*p**3 - 452*p. Factor o(i).
-3*i*(i + 1)*(i + 264)/4
Let d be 7/224*8 - -5. Let o(z) be the first derivative of -8 + 6*z - 9/2*z**2 + d*z**4 - 9/5*z**5 - 3*z**3. Factor o(b).
-3*(b - 1)**3*(3*b + 2)
Let o(s) = s**2 + 8*s + 10. Let f be o(-9). Suppose 4*b - w = -0*b + 29, 2*b - f = 5*w. Factor b*d + 3*d**2 + 0*d - 5*d.
d*(3*d + 2)
Factor -1517*c + 20*c**3 - 24*c**3 - 3775*c + 252*c**2 + 37044.
-4*(c - 21)**3
Let b(p) be the third derivative of 39*p**2 - 1/140*p**5 + 0*p + 0*p**4 + 0*p**3 + 0 - 1/840*p**6. Factor b(m).
-m**2*(m + 3)/7
Suppose 10*s + 12*s = -15*s. Let v(k) be the first derivative of 0*k + 3/8*k**4 + s*k**2 + 13 + 1/2*k**3. Factor v(u).
3*u**2*(u + 1)/2
Factor 4*c**2 + 0 + 36/5*c + 1/5*c**3.
c*(c + 2)*(c + 18)/5
Let j(l) = l**2 + 12*l + 20. Suppose -4*a + 2*g - 51 = -7, -4*a = 3*g + 34. Let f be j(a). Factor f - 1/3*d + d**2 - d**3 + 1/3*d**4.
d*(d - 1)**3/3
Let m(w) be the first derivative of 3*w**4/4 - 126*w**3 + 11907*w**2/2 - 482. Factor m(f).
3*f*(f - 63)**2
Let t(d) be the second derivative of d**5/70 - 17*d**4/42 + 2*d**3/3 + 32*d**2/7 - 241*d + 2. Suppose t(r) = 0. Calculate r.
-1, 2, 16
Let o(i) be the first derivative of -2*i**3/39 + 20*i**2/13 - 38*i/13 - 90. Find r, given that o(r) = 0.
1, 19
Let c(n) be the second derivative of n**9/10080 + n**8/6720 - n**7/5040 - 7*n**4/6 - 11*n. Let d(f) be the third derivative of c(f). Factor d(z).
z**2*(z + 1)*(3*z - 1)/2
Factor 0 - 2*a**2 + 12/5*a + 2/5*a**3.
2*a*(a - 3)*(a - 2)/5
Let q(f) = -4*f**2 - 105*f - 483. Let i be q(-6). Factor 0*k + 4/11*k**2 + 0 - 6/11*k**i - 4/11*k**4.
-2*k**2*(k + 2)*(2*k - 1)/11
Factor -2*q**3 + 3*q**2 - 4*q**3 - 11*q**4 + 0*q**3 + 6*q + 8*q**4.
-3*q*(q - 1)*(q + 1)*(q + 2)
Let q(u) = -17*u**2 - 326*u - 20. Let z(h) = -20*h**2 - 325*h - 25. Let r(t) = 5*q(t) - 4*z(t). Solve r(f) = 0.
-66, 0
Let q(h) be the third derivative of h**10/5670 - h**8/20160 - h**4/12 - h**2. Let u(m) be the second derivative of q(m). Factor u(r).
r**3*(4*r - 1)*(4*r + 1)/3
Suppose 39 = 5*h - 41. Solve 32 - 7*d**2 + 3*d**2 + h*d + 6*d**2 = 0 for d.
-4
Let a(z) be the first derivative of z**5/5 - 2*z**4/3 + z**3/9 + 4*z**2/3 - 4*z/3 + 115. What is w in a(w) = 0?
-1, 2/3, 1, 2
Let t(u) be the second derivative of u**7/350 - u**5/50 + u**3/10 + 8*u**2 - 7*u. Let f(d) be the first derivative of t(d). Factor f(y).
3*(y - 1)**2*(y + 1)**2/5
Let r = 3353/8 - 419. Let d(m) be the third derivative of 0 + 1/5*m**5 - 2*m**2 + 1/2*m**4 + 0*m**3 - r*m**6 - 3/70*m**7 + 0*m. Let d(b) = 0. Calculate b.
-2, -2/3, 0, 1
Let s(l) = l**3 - l. Let b be s(0). Suppose 0 = -5*z - 46*z. Find j, given that z*j + b + 1/7*j**2 = 0.
0
Let v(y) = 13*y + 51. Let m be v(-3). Suppose -10 = -m*x + 26. Suppose -x*p + 1 - 9/4*p**2 + 7/4*p**3 = 0. Calculate p.
-1, 2/7, 2
Let c be (-123)/(-82) + 0 + (-10)/(-4). Let k be -4 + 4 - (-6)/5. Suppose 14/5*n**2 + 0 + 2*n**5 - 14/5*n**c - k*n**3 - 4/5*n = 0. What is n?
-1, 0, 2/5, 1
Suppose 3*d = 3*j, -5*j = 2*d + 3*d - 20. Suppose -j*s - 2 = g, 2*s + s + 3 = 2*g. Let 2 + f**3 + f**3 - 2*f + g*f**3 + 2*f**2 - 4*f**2 = 0. What is f?
-1, 1
Let y be (-9)/(-12)*(-8)/(-60). Let l(f) be the first derivative of -1/15*f**3 + 0*f - y*f**2 - 3. Determine b, given that l(b) = 0.
-1, 0
Factor 51*c**2 - 123380*c + 123398*c + 51*c**3 + 5*c**5 - 2*c**5 + 21*c**4.
3*c*(c + 1)**2*(c + 2)*(c + 3)
Solve -3/5*b + 2 - 1/5*b**2 = 0.
-5, 2
Factor 16*c**3 + 19*c**3 + 21*c**3 - 57*c**3 - 10*c**2 - 21*c.
-c*(c + 3)*(c + 7)
Let y(w) be the first derivative of -2*w**3/3 + 4*w**2 + 10*w + 48. Solve y(c) = 0.
-1, 5
Let w = -1085 + 1087. Factor l**w + 5/4*l + 1/4.
(l + 1)*(4*l + 1)/4
Suppose 2*u = -38 + 14. Let g be (-3)/(-3) - 3/u*2. Factor -g*b**2 - 6 + 6*b.
-3*(b - 2)**2/2
Factor -8*y**2 + 0 + 39/2*y + 1/2*y**3.
y*(y - 13)*(y - 3)/2
Let v(g) = -10*g**4 - 9*g**3 + 21*g**2 + 31*g - 11. Let d(y) = 5*y**4 + 4*y**3 - 11*y**2 - 16*y + 6. Let p(m) = 11*d(m) + 6*v(m). Solve p(n) = 0.
-2, -1, 0, 1
Factor -40/9*f + 8/9*f**2 + 50/9.
2*(2*f - 5)**2/9
Factor 18/7 + 51/7*h + 45/7*h**2 + 9/7*h**3 - 3/7*h**4.
-3*(h - 6)*(h + 1)**3/7
Let g = 14 + -29. Let t be 20/g*9/(-6). Determine d, given that 5*d + 0 - 4*d**3 - 4 - d - 4 + 8*d**t = 0.
-1, 1, 2
Let w(j) be the first derivative of -j**4/16 + 83*j**3/12 + 169*j**2/8 + 85*j/4 + 343. What is a in w(a) = 0?
-1, 85
Let a(q) = -q - 1. Let x(y) be the second derivative of 5*y**4/12 + 10*y**3/3 + 15*y**2/2 + 50*y. Let p(g) = -5*a(g) + x(g). Factor p(z).
5*(z + 1)*(z + 4)
Let f(a) be the second derivative of 0 + 1/180*a**6 - 1/72*a**4 - 1/18*a**3 + 1/60*a**5 - 22*a + 0*a**2. Suppose f(l) = 0. Calculate l.
-2, -1, 0, 1
Let o = 7186/8921 - -84/811. Let m = 4/337 + 10740/3707. Suppose m + 80/11*s - o*s**4 + 50/11*s**2 - 10/11*s**3 + 2/11*s**5 = 0. What is s?
-1, 4
Find n such that 2/3*n**5 + 0*n**4 + 2*n + 4/3*n**2 - 4/3 - 8/3*n**3 = 0.
-2, -1, 1
Let a(v) = -v**3 - 41*v**2 - 37*v + 120. Let c be a(-40). Factor -28/3*m**4 - 64/3*m**3 - 44/3*m**2 + c - 8/3*m.
-4*m*(m + 1)**2*(7*m + 2)/3
Suppose i = -1, -2*k + 12 = 6*i - 10*i. Let a(q) be the second derivative of q + 1/4*q**k - q**3 + 0 + 0*q**2. Solve a(x) = 0.
0, 2
Let m = -1/385 + 3853/1155. Let o(q) be the second derivative of -1/6*q**2 + 64/21*q**7 + 20/3*q**5 + 0 + 35/36*q**3 - 64/9*q**6 - 2*q - m*q**4. Factor o(i).
(3*i - 2)*(4*i - 1)**4/6
Let x(r) be the second derivative of r**7/11340 - r**6/3240 - r**5/270 - 5*r**4/12 + 2*r. Let s(q) be the third derivative of x(q). Factor s(d).
2*(d - 2)*(d + 1)/9
Determine z so that 0*z - 14*z**4 + 112/3*z**3 + 2/3*z**5 - 24*z**2 + 0 = 0.
0, 1, 2, 18
Solve -11/3 + 1/3*c**3 - 1/3*c + 11/3*c**2 = 0.
-11, -1, 1
Let l = 1119/135190 + 1/1229. Let g = 53/220 + l. Factor 1/4 - g*b**2 + 0*b.
-(b - 1)*(b + 1)/4
Let n be -2*((-5)/(-10) + (-12)/8). Let m(q) be the second derivative of -1/42*q**7 - 8*q**n - 3/10*q**6 - 8*q**3 - 14/3*q**4 + 4*q - 8/5*q**5 + 0. Factor m(s).
-(s + 1)*(s + 2)**4
Let f(z) = 7*z + 50. Let d be f(-11). 