y?
-1, 0, 1
Solve 3/4 - 9/4*f**4 + 3/4*f**5 + 3/2*f**3 - 9/4*f + 3/2*f**2 = 0.
-1, 1
Suppose -9*r = -22*r + 65. Suppose 0 = -j + 5*x - 10*x - 8, -r*x = 10. Suppose 4/7 - 6/7*s + 2/7*s**j = 0. Calculate s.
1, 2
Suppose -7*l - 232 + 260 = 0. What is h in 3/4*h**3 + 0 - 9/4*h**l + 3/4*h**5 - 3/2*h + 9/4*h**2 = 0?
-1, 0, 1, 2
Let h = 655 + -659. Suppose 2*s - 6 = 2*d - 28, 4*s = -20. Let k(o) = 4*o**2. Let a(u) = 3*u**2. Let z(q) = d*a(q) + h*k(q). Factor z(v).
2*v**2
Let b(r) be the first derivative of r**7/105 - r**5/25 + r**3/15 - 17*r + 7. Let k(i) be the first derivative of b(i). Determine l, given that k(l) = 0.
-1, 0, 1
Let x(m) be the first derivative of -3*m**5/40 - m**4/4 - m**3/4 - 17*m + 9. Let y(q) be the first derivative of x(q). What is i in y(i) = 0?
-1, 0
Suppose 0 = -5*m + 3 + 2, -5*m + 5 = -2*s. Let z = s + 9. What is i in -9*i**2 - i + i - 3*i**4 + z*i**3 + 3*i = 0?
0, 1
Let r be (-103)/206*(-2 + 610/(-7)). Factor 64/7*k + r*k**2 + 64*k**3 + 4/7 + 28*k**4.
4*(k + 1)**2*(7*k + 1)**2/7
Suppose -x = 5*x - 60. Suppose 0 = -5*p - 3*l + x, -4*p + 4*l + 3 + 5 = 0. Let 31*o**2 - 10*o**p - 19*o**2 = 0. Calculate o.
0
Let s(m) = -m**3 - 5*m**2 + 4*m + 20. Let u be s(-5). Let k(h) be the first derivative of u*h + 7 - 3/5*h**4 - 3/5*h**2 + 3/25*h**5 + h**3. Factor k(a).
3*a*(a - 2)*(a - 1)**2/5
Factor -32 - 5*v**3 - 25*v**2 - v - 7*v + 118*v - 57 + 9.
-5*(v - 2)*(v - 1)*(v + 8)
Solve -109*q**2 + q**3 - 7*q**3 + 2*q**3 - 1905*q + 29*q**2 + 1761*q = 0 for q.
-18, -2, 0
Let b be 12/(-72) + 2770/(-3636). Let r = -4/101 - b. Factor 18*z**3 + r*z - 8*z**2 + 0.
2*z*(9*z - 2)**2/9
Let c be 1/(-2) - (-276)/360. Suppose n - 5*k = -0*k + 25, -4*k = -2*n + 20. Determine j, given that n*j**2 + 0*j**4 - c*j**3 + 0 + 2/15*j**5 + 2/15*j = 0.
-1, 0, 1
Suppose z + 3 = -0. Let x = 5 + z. Suppose -30*f**2 + 0*f - 6*f + 24*f**2 - x - 2*f**3 = 0. What is f?
-1
Let f(r) be the first derivative of 4/3*r**3 + 1/2*r**4 - 3*r**2 + 15 + 0*r. What is l in f(l) = 0?
-3, 0, 1
Let x be 19/((-209)/55) + (-16)/(-3). Suppose -x - 1/3*n**4 - 2*n**2 - 4/3*n - 4/3*n**3 = 0. Calculate n.
-1
Let n(q) be the third derivative of 0 - 4/45*q**5 + 1/9*q**4 + 8*q**2 + 0*q + 0*q**3 + 1/60*q**6. Factor n(j).
2*j*(j - 2)*(3*j - 2)/3
Let d(q) be the second derivative of 2*q**7/21 - 13*q**6/150 + q**5/50 - 31*q + 1. Let d(k) = 0. What is k?
0, 1/4, 2/5
Let l(g) = 4*g**2 - 17*g - 36. Let p(c) = -c**2 + c. Let v(w) = -l(w) - 5*p(w). Factor v(t).
(t + 6)**2
Let w be 20/35*(-126)/(-108). Factor 0 - w*v**2 + 2/3*v**3 - 4/3*v.
2*v*(v - 2)*(v + 1)/3
Let u be ((-11)/(-22))/((-2)/(-82)). Let o = u + -119/6. Suppose -2/3*n**2 + 2/3*n**3 + 0*n - 2/3*n**5 + o*n**4 + 0 = 0. Calculate n.
-1, 0, 1
Factor -32*r**2 - 1153*r**3 + 1155*r**3 - 253 - 47 + 170*r.
2*(r - 6)*(r - 5)**2
Let d(g) = -2*g**3 - 7*g**2 - 5*g. Let t(f) = 9*f**3 + 28*f**2 + 19*f. Let z be 5*(2 + -1) - -1. Let y(r) = z*t(r) + 22*d(r). Solve y(x) = 0.
-1, -2/5, 0
Let p(s) be the third derivative of -1/690*s**5 - 1/276*s**4 - s**2 + 0 + 0*s**3 + 0*s. Factor p(n).
-2*n*(n + 1)/23
Let y = 482 - 481. Let o be 20/(-32)*(-1)/((-5)/(-2)). Determine l, given that -1/2*l**3 + o*l**4 + 2*l - y - 3/4*l**2 = 0.
-2, 1, 2
What is b in 0*b - 2/11*b**2 + 32/11 = 0?
-4, 4
Let c(g) = -16*g**2 - 48*g - 52. Let n(i) = -5*i**2 - 16*i - 18. Let u(b) = -3*c(b) + 10*n(b). Factor u(j).
-2*(j + 2)*(j + 6)
Let v(u) be the first derivative of 4 - 2/39*u**3 - 4/13*u - 3/13*u**2. Factor v(r).
-2*(r + 1)*(r + 2)/13
Let l(i) be the second derivative of 1/60*i**4 + 0*i**3 + 14*i - 1/10*i**2 + 0. Factor l(h).
(h - 1)*(h + 1)/5
Let 15/7 - 27/7*s + 3/7*s**3 + 9/7*s**2 = 0. Calculate s.
-5, 1
Let n(u) be the second derivative of 0 + 16*u + 1/30*u**4 + 0*u**2 - 1/15*u**3. Let n(s) = 0. Calculate s.
0, 1
Let z(m) be the second derivative of -10/3*m**3 + 1/90*m**6 + 0 - 1/5*m**5 + 15*m + 25/6*m**2 + 23/18*m**4. Suppose z(u) = 0. Calculate u.
1, 5
Let l = 334 - 989/3. Factor 11/3*j**2 + 2/3 + l*j.
(j + 1)*(11*j + 2)/3
Let d(p) be the second derivative of p**7/945 + 17*p**6/1620 + 4*p**5/135 + p**4/36 + 13*p**3/6 + 7*p. Let u(r) be the second derivative of d(r). Factor u(n).
2*(n + 1)*(n + 3)*(4*n + 1)/9
Suppose 0 = 2*s - g - 5, -3*s - 5 + 13 = -g. Suppose -3*u**3 + 12*u - 5*u**3 - 3*u**3 + 2*u**s - 3*u**4 = 0. Calculate u.
-2, 0, 1
Let w be 6/(-9) + (10 - 16/(-60)). Find k, given that -w - 3/5*k**2 + 24/5*k = 0.
4
Let r(s) be the second derivative of -5*s**4/48 - 7*s**3/12 - 9*s**2/8 + 4*s + 8. Factor r(k).
-(k + 1)*(5*k + 9)/4
Let d(f) be the third derivative of -f**7/105 + 19*f**6/60 + 7*f**5/10 - 19*f**4/12 - 20*f**3/3 - 732*f**2. Find y such that d(y) = 0.
-1, 1, 20
Let a(s) be the first derivative of -1/3*s**2 + 2/15*s**5 + 1/6*s**4 + 0*s - 1 - 2/9*s**3. Factor a(q).
2*q*(q - 1)*(q + 1)**2/3
Suppose 18 = 6*r - 0*r. Let q be -1*(-5)/45*r. Solve 0 + 0*i + q*i**3 + 1/3*i**2 = 0 for i.
-1, 0
Let k(n) = -n**3 + 62*n**2 + 65*n - 106. Let l(f) = -65*f**2 - 65*f + 105. Let q(c) = 5*k(c) + 4*l(c). Factor q(b).
-5*(b - 11)*(b - 1)*(b + 2)
Factor 0*u**3 + 0*u + 4/5*u**2 - 2/5 - 2/5*u**4.
-2*(u - 1)**2*(u + 1)**2/5
Suppose 0 = -3*z + 1 - 7. Let r be 2/6 - z - (10 - 8). Determine u, given that 0*u + 0 - 2*u**4 + 3*u**5 + 0*u**2 + r*u**3 = 0.
0, 1/3
Let j(v) = -v**3 + 27*v**2 - 50*v + 1. Let b be j(25). Let r be (2/(-2))/(b/(-5)). Let 1/4*t**3 + 1/4*t**4 + 0 - 1/4*t**2 + 0*t - 1/4*t**r = 0. What is t?
-1, 0, 1
Let m(z) be the third derivative of 0 + 0*z - 2/135*z**5 - 1/945*z**7 + 16*z**2 - 1/135*z**6 + 0*z**4 + 0*z**3. Factor m(c).
-2*c**2*(c + 2)**2/9
Let j(b) be the third derivative of -b**5/30 - 61*b**4/3 - 14884*b**3/3 + 441*b**2. Solve j(a) = 0 for a.
-122
Let j be (-1484)/224 + 2/16 - -7. Factor -j + 5/4*t**2 - 3/4*t.
(t - 1)*(5*t + 2)/4
Suppose -4*y - 14 = 3*j, -35 = -5*j + 15*y - 10*y. Determine p, given that 0 + 4/7*p + 6/7*p**j + 2/7*p**3 = 0.
-2, -1, 0
Determine m, given that -184/7*m - 52/7*m**2 - 128/7 + 4/7*m**3 = 0.
-2, -1, 16
Suppose x - 4*i = -3*x + 4, 2*x = -2*i + 2. Let t be (-2)/x - ((-49)/3)/7. Factor 0 + 2/3*o + 5/3*o**2 + 4/3*o**3 + t*o**4.
o*(o + 1)**2*(o + 2)/3
Suppose 18*c = -27*c + 13*c. Let n(b) be the third derivative of 1/180*b**5 + c*b**3 + 0*b**4 + 0 - 4*b**2 + 0*b + 1/630*b**7 + 1/180*b**6. Factor n(t).
t**2*(t + 1)**2/3
Let d be -49 + 60 + (0 - 9). Let b(w) be the first derivative of -1/12*w**3 + 0*w**2 - 1/8*w**4 - d - 1/20*w**5 + 0*w. Solve b(q) = 0 for q.
-1, 0
Let p(w) = -w**3 + 8*w**2 - 4*w - 16. Let t be p(7). Let c be 7/2*(-3 + t). Solve -4*u**5 + 4*u + 7*u**2 - c*u**2 + u**4 - 9*u**4 + 8*u**2 = 0.
-1, 0, 1
Factor -158*q**3 - 64*q**2 + 4*q**5 + 4*q**4 + 0*q**4 + 94*q**3 + 0*q**5.
4*q**2*(q - 4)*(q + 1)*(q + 4)
Let n(c) be the second derivative of -c**7/1260 + c**6/720 - 19*c**2/2 - 3*c. Let b(p) be the first derivative of n(p). What is r in b(r) = 0?
0, 1
Let u(p) be the second derivative of p**6/60 - p**5/10 - p**4/4 + p**3/3 + 5*p**2/4 - 354*p. Factor u(q).
(q - 5)*(q - 1)*(q + 1)**2/2
Let r(v) = -v**3 + 12*v**2 + 5. Let j be r(12). Let -116*w - 10*w**4 + 20*w**2 - 15*w**3 + 249*w + 5*w**j - 113*w = 0. What is w?
-1, 0, 2
Let d(b) be the second derivative of b - 9/8*b**4 - 11/4*b**3 - 3*b**2 - 3/40*b**5 - 7 + 1/20*b**6. Factor d(q).
3*(q - 4)*(q + 1)**3/2
Let v(l) be the third derivative of -l**7/105 - 3*l**6/20 - l**5 - 11*l**4/3 - 8*l**3 + 251*l**2. Factor v(k).
-2*(k + 2)**3*(k + 3)
Let z be (-18)/24 - (-92)/80. Factor -z*c**2 + 1/5*c**4 + 1/5*c - 2/5*c**3 + 1/5 + 1/5*c**5.
(c - 1)**2*(c + 1)**3/5
Let j be ((-6)/(-9)*3)/(4/(-42)). Let u = j + 64/3. Let -x**3 - 1/3*x**5 + 0*x + u*x**2 + x**4 + 0 = 0. What is x?
0, 1
Let y = 36244/3 + -12003. Factor 25 + 1/3*r**3 + y*r + 91/9*r**2.
(r + 15)**2*(3*r + 1)/9
Let -15/4*r**2 + 0 + 10*r = 0. What is r?
0, 8/3
Let p(c) be the first derivative of -7*c**5 - 90*c**4 - 415*c**3/3 - 45*c**2 - 9. Factor p(a).
-5*a*(a + 1)*(a + 9)*(7*a + 2)
Let d(o) be the third derivative of -o**7/1575 + 2*o**5/225 + 43*o**2 - 1. Find j, given that d(j) = 0.
-2, 0, 2
Let l(i) = -18*i**3 - 35*i**2 - 5*i - 11. Let a be l(-2). Factor 0*d + 0 - 2/5*d**a - 2/5*d**2.
-2*d**2*(d + 1)/5
Suppose 426/11*b - 2/11*b**2 - 424/11 = 0. Calculate b.
1, 212
What is p in 7/2*p - 5/3*p**2 - 4/3*p**4 + 3 - 1/6*p**5 - 10/3*p**3 = 0?
-3, -2