pose -g - 5*u - 11 + 3 = 0, 0 = 2*g + u - 2. Suppose 2*c + g*c - 12 = 0. Factor 3*x**2 + x + c*x**2 - 7*x**2.
-x*(x - 1)
What is w in -12*w**2 + 31*w - 3*w + 11*w**2 - 52 = 0?
2, 26
Let z = 8278 + -8276. Solve 1/4*b + 0 + 3/4*b**3 + b**z = 0 for b.
-1, -1/3, 0
Let j = 2/3 + 0. Let d be 14 + -41 + (-510)/(-18). Determine n, given that j + d*n + 2/3*n**2 = 0.
-1
Let r(l) be the first derivative of 2*l**5/25 - 8*l**4/5 + 52*l**3/5 - 112*l**2/5 + 98*l/5 - 31. Find s, given that r(s) = 0.
1, 7
Find f, given that 2/19*f**2 + 2/19*f**3 + 0 + 0*f = 0.
-1, 0
Factor -3*g**2 - g - 16*g + 13*g**2 - g**2 + 30 - 8*g**2.
(g - 15)*(g - 2)
Let -24*r**2 + 24 - 13*r**2 + 35*r - 148*r + 69*r + 9*r**2 = 0. What is r?
-2, 3/7
Suppose -76*j + 24 = -68*j. Factor 2/5*f**4 - 2*f**j - 6/5*f + 14/5*f**2 + 0.
2*f*(f - 3)*(f - 1)**2/5
Let u(g) be the third derivative of -g**6/20 - 11*g**5/30 + 10*g**4/3 - 4*g**3 - 7*g**2 + 4. Factor u(s).
-2*(s - 2)*(s + 6)*(3*s - 1)
Let p(r) = r - 6. Let o be p(8). Solve 0*y - 2*y + 3*y**o + 0*y**2 - y**3 - 6*y**2 = 0 for y.
-2, -1, 0
Determine c, given that -56/5*c**2 + 148*c - 156/5 = 0.
3/14, 13
Let s be 4/3*(-180)/80. Let o(c) = 2*c + 10. Let w be o(s). Let -16/15*x**3 + 0*x - 32/15*x**w - 2/15*x**2 + 0 = 0. Calculate x.
-1/4, 0
Determine o, given that -30/7*o**2 - 24/7*o - 3/7*o**5 + 0 + 12/7*o**4 + 9/7*o**3 = 0.
-1, 0, 2, 4
Let x(z) be the third derivative of -z**6/200 - 2*z**5/25 - 222*z**2. Solve x(s) = 0 for s.
-8, 0
Factor 17*c + 18*c**2 + 24 + 3*c**3 + 0*c + c + 18*c.
3*(c + 2)**3
Let x(i) be the third derivative of -i**7/252 - 11*i**6/144 - 7*i**5/18 - 167*i**2 - i. Factor x(z).
-5*z**2*(z + 4)*(z + 7)/6
Suppose -2 = y + m - 3*m, 4*y - 3*m = 12. Let h be 16/y - (-32)/(-48). Let h*n**3 + 7*n - 3 + 3*n**2 + n**3 - 4*n - 6*n**3 = 0. What is n?
-1, 1
Let v(d) be the third derivative of d**5/110 - 31*d**4/66 + 40*d**3/33 - 6*d**2 + 5*d. Factor v(q).
2*(q - 20)*(3*q - 2)/11
Let b(a) be the first derivative of -a**5/210 + 5*a**4/42 - 25*a**3/21 - 23*a**2/2 - 15. Let x(j) be the second derivative of b(j). Let x(o) = 0. Calculate o.
5
Let h(f) be the first derivative of 23/19*f**2 + 1/2*f**4 - 31 + 64/57*f**3 + 8/95*f**5 + 12/19*f. Suppose h(p) = 0. What is p?
-2, -1, -3/4
Let h(f) be the second derivative of -1/48*f**4 + 19*f + 0 + 1/4*f**2 + 1/24*f**3. Determine u so that h(u) = 0.
-1, 2
Determine t, given that -1/6*t**2 + 7/3 - 5/6*t = 0.
-7, 2
Suppose 0 = 7*f - 11*f + 2760. Let s be ((-4)/(-45))/(((-36)/f)/(-3)). Suppose -40/9*b - s*b**2 - 8/9 - 14/9*b**3 = 0. What is b?
-2, -1, -2/7
Suppose -2/7*b**2 + 10/21*b**3 - 10/21*b + 8/21 - 2/21*b**4 = 0. Calculate b.
-1, 1, 4
Suppose 2 = 8*b - 14. Suppose 30 = -0*y + 4*y + 5*t, 4*y = 4*t + 12. Factor -19 + 5*l**b + 5*l - l**4 - l**y + 19 - 3*l + 3*l**3.
-l*(l - 2)*(l + 1)**3
Let o(t) = -4*t**2 + 9*t - 2. Let w be o(1). What is g in 0*g**2 + 0*g + 0 + 2/5*g**4 - 2/5*g**w = 0?
0, 1
Let w be 7/(-3 + 8 + 1). Let i = -2/3 + w. Suppose 1/2*y - 1/2*y**3 + 0 + i*y**4 - 1/2*y**2 = 0. Calculate y.
-1, 0, 1
Let c(t) = -t**3 + 3 - 1285*t + 1285*t + 13*t**2. Let g be c(13). Factor -5/3*d**2 - 4/3 - 1/3*d**g - 8/3*d.
-(d + 1)*(d + 2)**2/3
Suppose 26*z - 28*z - 3*k = -45, 5*z + 4*k = 95. Factor 27/2*q**2 + 6 + z*q + 3/4*q**4 + 21/4*q**3.
3*(q + 1)*(q + 2)**3/4
Let u(w) = -2*w - 2. Let i be u(-3). Suppose i*f - 8 = -g, 0*f = g - 5*f + 10. Suppose -1/5*b + 1/5*b**2 + g = 0. Calculate b.
0, 1
Suppose 6*d - 33 - 111 = 0. Suppose -r + d = 19. Determine o, given that 0 + 0*o**2 + 0*o + 2/3*o**3 + 4/3*o**4 + 2/3*o**r = 0.
-1, 0
Let r(i) = 2*i**4 - i + 1. Let k be -6*12/27*21/14. Let h(u) = -u**5 - u**3 + u - 1. Let t(l) = k*r(l) - 4*h(l). Suppose t(v) = 0. What is v?
0, 1
Let q = 24049 - 24047. Factor 0 + 2/3*g**q + 2/3*g**3 - 4/3*g.
2*g*(g - 1)*(g + 2)/3
Let m(j) = -8*j**2 - 6*j + 2. Let r(b) = b**4 + b**2 + b - 1. Let k(z) = -m(z) - 2*r(z). Factor k(s).
-2*s*(s - 2)*(s + 1)**2
Suppose 105 = 5*p - 60. Solve 125 - 15*g**3 - 44*g**2 - 325*g - 68*g**2 - p*g**2 = 0.
-5, 1/3
Suppose 2*i - 372 = -5*x - 355, 3*i - 4*x + 9 = 0. Factor i - 1/2*y**2 + 1/2*y.
-(y - 2)*(y + 1)/2
Let w(v) = -v**3 + 5*v**2 + 3*v - 7. Let d be w(3). Factor -2*j**3 - j**4 + 1 + d*j + 4*j**3 - 22*j.
-(j - 1)**3*(j + 1)
Let m = 107/105 - 24/35. Determine x so that 1/3*x - m*x**3 + 1/3 - 1/3*x**2 = 0.
-1, 1
Factor 72*x + 185 - 13*x + 179*x - 58*x - 5*x**2.
-5*(x - 37)*(x + 1)
Let d(m) be the third derivative of 0*m - 4/735*m**7 - 1/105*m**5 + 0*m**3 + 1/1176*m**8 + 0 + 0*m**4 + 1/84*m**6 - 19*m**2. Determine z, given that d(z) = 0.
0, 1, 2
Let g = 65 - 30. Let z = g - 33. Factor 16*u + 3 - 3 - 20*u + z*u**2.
2*u*(u - 2)
What is g in -5*g**4 + 68*g + 73*g - 121*g - 123*g**2 + 18*g**2 + 128 - 50*g**3 + 12 = 0?
-7, -2, 1
Factor -4*g**5 - 25043*g**3 - 23*g**4 - 25*g**2 + 25092*g**3 + 3*g**5.
-g**2*(g - 1)**2*(g + 25)
Let c(g) = g**2 + g + 1. Let j(m) = -4*m**2 - 30*m + 66. Let t(z) = 12*c(z) + 2*j(z). Determine k so that t(k) = 0.
6
Find h such that 19*h + 29*h + 4*h**2 - 44*h + 2*h**2 - 2 = 0.
-1, 1/3
Let o be ((-15)/3)/((-285)/19 - 20). Determine h so that 3/7*h**2 + 1/7*h**4 - o*h + 0 - 3/7*h**3 = 0.
0, 1
Let v be 6/(-5) + ((-53872)/1260)/(-26). Solve 2/9*s**2 + v - 2/3*s = 0.
1, 2
Let i(z) be the first derivative of -z**6/180 + z**5/30 - z**4/12 + z**3/9 - 3*z**2 + 6. Let w(f) be the second derivative of i(f). Solve w(h) = 0.
1
Suppose 5*w - 23 = -8. Factor 1 - 9*o - 39*o**w + 13*o**4 + 27*o**2 + 2*o**2 + 0*o**2 + 5*o**4.
(o - 1)*(2*o - 1)*(3*o - 1)**2
Let c = -20/117 - -239/1170. Let d(a) be the third derivative of 0*a + c*a**6 + 2/3*a**4 + 0 + 4/15*a**5 + 0*a**3 + 9*a**2. Find w, given that d(w) = 0.
-2, 0
Let w(s) be the second derivative of s**5/180 - s**4/72 - s**3/9 - s**2 + 2*s. Let z(c) be the first derivative of w(c). Let z(u) = 0. What is u?
-1, 2
Let w(u) be the third derivative of -u**8/30240 + u**7/1890 - u**6/270 + 19*u**5/60 - 8*u**2. Let z(c) be the third derivative of w(c). What is q in z(q) = 0?
2
Let x(z) be the first derivative of z**4/24 - z**3/9 - z**2/4 + 81. Let x(b) = 0. Calculate b.
-1, 0, 3
Let u be (8/(-28))/(((-20)/(-28))/(-1)). Factor 1/5*o - 2/5*o**4 + u*o**2 - 1/5*o**3 + 0.
-o*(o - 1)*(o + 1)*(2*o + 1)/5
Let b(l) be the second derivative of -l**7/70 - 11*l**6/50 - 24*l**5/25 - 7*l**4/5 + 267*l. Solve b(i) = 0 for i.
-7, -2, 0
Let g be 2/(-6) - (-768)/36. Let q = g - 21. Solve -2*i**2 + q*i**2 + 2*i**2 - 2*i**2 = 0.
0
Let f(p) be the first derivative of -14 - 2/9*p**3 + 2*p - 2/3*p**2. Find k, given that f(k) = 0.
-3, 1
Suppose -4*x - 5*x = -5*x. Let h(r) be the first derivative of 0*r**4 + 2 + x*r**3 + 0*r**2 + 0*r + 1/5*r**5. Factor h(q).
q**4
Factor -9/2*y - 81/4 - 1/4*y**2.
-(y + 9)**2/4
Find g, given that -24 + 332/7*g - 12/7*g**3 - 156/7*g**2 + 4/7*g**4 = 0.
-6, 1, 7
Suppose -7*z**3 + z**3 + 0*z**3 + 2*z**2 + 9*z**4 - 5*z**3 = 0. What is z?
0, 2/9, 1
Let u = -26 + 24. Let c be (((-220)/75)/11)/(u/5). Find s such that c*s - 2/9 - 4/9*s**2 = 0.
1/2, 1
Let f(s) be the second derivative of -2*s**7/105 - 71*s**6/225 - 46*s**5/25 - 24*s**4/5 - 208*s**3/45 + 16*s**2/5 - 475*s. Let f(d) = 0. What is d?
-6, -2, 1/6
Let l(j) be the third derivative of -j**5/120 + 3*j**4/16 + 5*j**3/6 + 2*j**2 - 238. Factor l(b).
-(b - 10)*(b + 1)/2
Factor -23 + j**2 + 17*j - 121*j - 4*j**3 + 11*j**2 + 32*j**2 + 87.
-4*(j - 8)*(j - 2)*(j - 1)
Suppose 5*a = -20, -a = -2*u + 2*a + 26. Factor -5*g - u*g + 10 - 5*g**2 + 7*g.
-5*(g - 1)*(g + 2)
Let a(f) = -f**2 + 6*f - 14. Let d be a(6). Let i be (-46)/d - (1 + -2 + 4). Solve -i*t**2 + 8/7*t - 8/7 = 0 for t.
2
Let r(k) be the first derivative of 4 + 14/3*k**4 - 8/3*k - 8/5*k**5 - 64/9*k**3 + 2/9*k**6 + 6*k**2. Factor r(d).
4*(d - 2)*(d - 1)**4/3
Suppose -4*q + 11 - 35 = 0. Let k be (-154)/(-33) + 4/q. Factor 0*f + 0 + 1/6*f**5 - 1/6*f**3 - 1/6*f**2 + 1/6*f**k.
f**2*(f - 1)*(f + 1)**2/6
Let f(a) be the first derivative of -a**4/6 - 8*a**3/9 + 7*a**2/3 + 20*a/3 + 5. Factor f(i).
-2*(i - 2)*(i + 1)*(i + 5)/3
Factor 0 - 3/7*k**4 + 3/7*k**2 + 1/7*k**5 - 2/7*k + 1/7*k**3.
k*(k - 2)*(k - 1)**2*(k + 1)/7
Let p(c) be the third derivative of -c**8/420 - c**7/35 - c**6/10 - 3*c**3/2 - 14*c**2. Let o(f) be the first derivative of p(f). Factor o(j).
-4*j**2*(j + 3)**2
Let z = 12269/36 + -1373/4. Le