= 0. What is g?
-3, -2, -1
What is t in 6/7*t**2 + 0 + 2/7*t**4 + 2/7*t + 6/7*t**3 = 0?
-1, 0
Let l(b) be the first derivative of -2/3*b**3 + 6*b**2 - 10*b - 39. Factor l(q).
-2*(q - 5)*(q - 1)
Let h(c) = -c**2 + 55*c - 403. Let g be h(41). Let t = g - 171. Factor -3/5*k**3 + t + 0*k - 2/5*k**2 - 1/5*k**4.
-k**2*(k + 1)*(k + 2)/5
Let x(l) = l**3 + 7*l**2 - 4*l + 1. Let p(h) = -5*h**3 - 548*h**2 - 1465*h - 1010. Let v(c) = p(c) + 8*x(c). Let v(q) = 0. What is q?
-2, -1, 167
Let g(z) = -z**2 + 8*z - 11. Let m be g(5). Let y = -63573 - -445014/7. Factor 3/7*s**m + 0 + y*s**5 - 3/7*s**3 - 3/7*s**2 + 0*s.
3*s**2*(s - 1)*(s + 1)**2/7
Let k(t) be the first derivative of -t**3 - 39*t**2/2 - 90*t - 2535. Determine g so that k(g) = 0.
-10, -3
Factor 2/5*q**2 - 86/5*q - 88/5.
2*(q - 44)*(q + 1)/5
Let h be ((-22)/42)/(1754/(-24) + 73). Factor 16/7 - h*r + 24/7*r**2.
4*(2*r - 1)*(3*r - 4)/7
Let z be (-9)/(-9) + 6 - (4 - -3). Let k(s) be the third derivative of z*s - 1/40*s**5 + 1/280*s**7 + 0*s**4 + 0 - 1/160*s**6 + 0*s**3 - 2*s**2. Factor k(w).
3*w**2*(w - 2)*(w + 1)/4
Let a(z) = 0 - 2*z + z**2 + 0 - 7 + 6 + 2. Let m(i) = 20*i**2 + 48*i + 28. Let q(n) = 8*a(n) - m(n). Factor q(p).
-4*(p + 5)*(3*p + 1)
Suppose 1988*t - 339*t - 5208 = -87*t. Suppose -1083/5*o**2 + 1224/5*o - 432/5 + 3/5*o**5 + 63/5*o**4 + 45*o**t = 0. Calculate o.
-12, 1
Let k = 1/25540 + -26497751/25540. Let w = 1038 + k. Factor w*b - 1 + 1/2*b**2.
(b - 1)*(b + 2)/2
Let y be (-9)/((-189)/6) - (-18)/(-63). Determine o, given that y + o**2 + 1/2*o**3 + 1/2*o = 0.
-1, 0
Let a be (-35 + 38)*(-10)/(-6). Let -1/2*o**3 + 0 + a*o**2 + 0*o = 0. What is o?
0, 10
Let t = 691569 + -691567. Factor -1/7*d**4 - 10/7*d**3 + 1/7*d**t + 10/7*d + 0.
-d*(d - 1)*(d + 1)*(d + 10)/7
Let u(j) be the second derivative of 21*j - 1/4*j**4 + 0 - 2*j**3 - 9/2*j**2. Find d, given that u(d) = 0.
-3, -1
Let o(m) be the third derivative of -m**5/420 - 19*m**4/168 + 46*m**3/21 + 106*m**2. Factor o(s).
-(s - 4)*(s + 23)/7
Suppose -4*w + 3*a - 4*a + 9 = 0, 4 = w + 2*a. Suppose -4 = -w*v, 0*x - 4*v = 2*x - 12. Factor -5*l**2 + 5*l**3 + 6*l**2 - 3*l**3 - 2*l - 3*l**2 + x.
2*(l - 1)**2*(l + 1)
Let m(i) be the first derivative of i**7/490 + 11*i**6/280 - 5*i**5/28 + 13*i**4/56 - 23*i**2 + i - 9. Let k(x) be the second derivative of m(x). Factor k(z).
3*z*(z - 1)**2*(z + 13)/7
Let u(q) be the second derivative of -q**6/1980 + q**5/660 + q**4/66 - q**3 - 2*q**2 + 3*q + 7. Let x(o) be the second derivative of u(o). Factor x(p).
-2*(p - 2)*(p + 1)/11
Factor 1/9*i**2 - 11/3*i - 280/9.
(i - 40)*(i + 7)/9
Let w be 486/27 - (4 + -1). Let h be w/(-18)*((-27)/(-10) - 3). Factor h*y**2 + 1/4*y - 3/2.
(y - 2)*(y + 3)/4
Solve -35/4*t**2 + 3/4*t**5 - 5/4*t**4 - 45/4*t**3 + 10 + 21/2*t = 0.
-2, -4/3, -1, 1, 5
Let t(v) = -61437*v - 122864. Let j be t(-2). Factor -j*w**2 + 15 + 5/2*w + 5/2*w**3.
5*(w - 3)*(w - 2)*(w + 1)/2
Let j be (108/(-135) + 194/(-20) - -6)*74/(-111). Determine h so that 8*h**2 - 23/3*h - 7/3*h**j + 2 = 0.
3/7, 1, 2
Find o such that 85*o - 27*o - 7*o - 19*o + 14*o**2 - 13*o**2 + 31 = 0.
-31, -1
Let x be (-413 - -387) + -2 + 28. Solve x + 14/9*j**2 + 10/9*j**3 - 4/3*j - 14/9*j**4 + 2/9*j**5 = 0 for j.
-1, 0, 1, 6
Let h be (2950/(-750) + 2/(-5))*459/(-204). Factor -3/2*p**2 + 3/4*p**5 - 9/2 + 6*p**4 - h*p + 9*p**3.
3*(p - 1)*(p + 1)**3*(p + 6)/4
Suppose -2*u + 1558 = -5*g + 1598, 4*g = 5*u + 32. Let m(j) be the first derivative of -1/2*j**2 + 1/5*j**5 + u*j + 1/4*j**4 - 1/3*j**3 + 15. Factor m(a).
a*(a - 1)*(a + 1)**2
Let u be (8*2/(-40))/(638/110) - 101/(-203). Factor 0*n + u*n**4 - 45/7*n**3 - 48/7*n**2 + 0.
3*n**2*(n - 16)*(n + 1)/7
Let o(v) = 6*v**2 - 5924*v + 8743849. Let h(a) = -a**2 + 2*a. Let q(c) = -5*h(c) - o(c). Let q(w) = 0. Calculate w.
2957
Let d(b) be the second derivative of b**5/10 - b**4 - 8*b**3 + 64*b**2 + 1719*b. Let d(k) = 0. What is k?
-4, 2, 8
Let u(f) be the third derivative of 0 - 1/252*f**8 + 8/315*f**7 - 60*f**2 + 0*f + 0*f**5 + 0*f**4 - 1/30*f**6 + 0*f**3. Suppose u(r) = 0. What is r?
0, 1, 3
Suppose -3*l - 6 = 4*g, l = 2*l - 3*g + 2. Let b be ((-6)/42)/((-11)/l + -6). Find f, given that -10/7*f**2 - 6/7*f + 18/7 - b*f**3 = 0.
-3, 1
Suppose 0 = -261*c - 42521 + 43043. Factor 16/19 - 2/19*y**3 + 14/19*y**c - 28/19*y.
-2*(y - 4)*(y - 2)*(y - 1)/19
Let r(d) be the first derivative of d**4 + 928*d**3/3 - 934*d**2 + 936*d + 2981. Let r(b) = 0. Calculate b.
-234, 1
Find k, given that -686 + 136*k**2 + 14682 - 4884*k + 3428 + 2310*k**3 - 2311*k**3 = 0.
4, 66
Let y(x) be the second derivative of x**5/150 - 4*x**4/15 + 64*x**3/15 - 18*x**2 + 78*x. Let r(s) be the first derivative of y(s). Factor r(n).
2*(n - 8)**2/5
Factor -514*f - 740 + 3*f**2 + 0*f**2 + 202*f + 147*f + 2*f**2.
5*(f - 37)*(f + 4)
Suppose 0 = 2*p + 5*a + 12, -3*p + 12*a = 8*a - 28. Let q(i) = -4*i + 18. Let k be q(p). Find g such that -9/10*g + 2/5*g**k + 1/5 = 0.
1/4, 2
Let k(i) be the second derivative of 0*i**3 - 4 - 3/55*i**6 - 6/55*i**5 + 0*i**2 + 2/33*i**4 + 8*i + 1/33*i**7. What is d in k(d) = 0?
-1, 0, 2/7, 2
Let v(m) = 4*m**5 + 114*m**4 - 549*m**3 + 565*m**2 - 15*m. Let w(h) = 6*h**5 + 170*h**4 - 824*h**3 + 848*h**2 - 24*h. Let r(z) = -8*v(z) + 5*w(z). Factor r(o).
-2*o**2*(o - 2)**2*(o + 35)
Let y be ((-1067)/(-77) - 14)/(-2). Let b(j) be the first derivative of 8 - 8/21*j**3 - 4/7*j**2 + 0*j - y*j**4. Factor b(h).
-2*h*(h + 2)**2/7
Let j(y) = 5*y**2 + 131*y - 3. Let s(a) = -6*a**2 - 8*a + 5. Let f be s(-2). Let z(h) = -2*h + 1. Let p(d) = f*z(d) - j(d). Let p(q) = 0. What is q?
-25, 0
Let y = 1138 + -11377/10. Let j(i) be the second derivative of 0*i**2 + 0 - y*i**5 + 5/6*i**4 + 12*i + 2/3*i**3. Find b, given that j(b) = 0.
-1/3, 0, 2
Suppose 128*j + 4 = 130*j. Suppose j*b + 22 = 4*z, -3*b - 12 = -2*z - b. Factor -1/3*h - 7/3*h**2 - 6*h**3 + 0 - 8/3*h**z - 20/3*h**4.
-h*(h + 1)*(2*h + 1)**3/3
Let d(j) be the second derivative of 23*j**5/60 + 82*j**4/9 + 14*j**3/3 + 13*j - 53. Determine w so that d(w) = 0.
-14, -6/23, 0
Find t such that 6325/4*t - 3875 - 335/2*t**2 + 5/4*t**3 = 0.
5, 124
Let u(p) = -2*p**4 + 2*p**2 + 3*p + 1. Let r(d) = -5*d**4 - 51*d**3 - 233*d**2 - 319*d - 136. Let a(j) = -3*r(j) + 6*u(j). Factor a(s).
3*(s + 1)**2*(s + 3)*(s + 46)
Let x(g) = -3*g**2 + 60*g - 432. Suppose 15 = -z + 4*z, 4*z = 3*u + 38. Let o(r) = -3*r**2 + 62*r - 432. Let w(b) = u*o(b) + 5*x(b). Factor w(v).
3*(v - 12)**2
Let u(a) be the second derivative of a**7/21 + 2*a**6/5 - 4*a**5/5 - a**4 + 7*a**3/3 + 192*a. Find v such that u(v) = 0.
-7, -1, 0, 1
Let q be (75/15 + 8/(-2))*0*-1. Factor 5/3*t**2 - 5/3*t**4 + q - 5/3*t**3 + 0*t + 5/3*t**5.
5*t**2*(t - 1)**2*(t + 1)/3
Solve 11*s + 1/2*s**2 - 24 = 0 for s.
-24, 2
Let r(o) = o**3 + 27*o**2 - 11*o - 960. Let t be r(-26). Determine h so that 4/5*h**t + 0 + 4/5*h**4 - 8/5*h**3 + 0*h = 0.
0, 1
Factor 122/11*p + 560/11 + 2/11*p**2.
2*(p + 5)*(p + 56)/11
Let a be (-54)/9*2/(-4). Factor -50*h**4 + 57*h**a + 3681*h**2 + 38*h**3 - 3671*h**2.
-5*h**2*(h - 2)*(10*h + 1)
Let i = -331 - -333. What is d in 3*d**2 + 4*d + 30*d**3 - 10*d**3 - 16*d**3 + 7*d**i = 0?
-2, -1/2, 0
Let o be 2/(-6) + 483/1288. Let w(c) be the first derivative of 1/8*c**2 + 0*c**4 + 1/6*c**3 - 1/10*c**5 - o*c**6 + 0*c - 4. Determine r so that w(r) = 0.
-1, 0, 1
Let s(i) be the third derivative of -i**7/525 + i**6/20 - 8*i**5/25 + 11*i**4/15 - 53*i**2 + 6*i. Let s(p) = 0. What is p?
0, 2, 11
Solve -17/4*a + 4 + 1/4*a**2 = 0.
1, 16
Let l(z) = 2*z**2 + 28*z - 21. Suppose -5*h - 3*b + 7*b + 3 = 0, 2*b + 3 = 3*h. Let j(x) = 12*x**2 + 140*x - 104. Let m(p) = h*j(p) - 16*l(p). Factor m(u).
4*(u - 6)*(u - 1)
Suppose 0 = h + 2 - 30. Suppose 0 = -5*g - 4*w + 2, 0 = 5*g - 5*w - h + 8. Factor 7 - 2 - 3*t**2 - 2*t**2 - 5*t + 5*t**3 + 0*t**g.
5*(t - 1)**2*(t + 1)
Let o(j) be the third derivative of -1/18*j**4 + 7/27*j**3 + 0*j - 157*j**2 + 0 - 1/270*j**5. Determine f, given that o(f) = 0.
-7, 1
Solve 1/2*n**4 - 11/2*n**3 + 21 + 11/2*n - 43/2*n**2 = 0 for n.
-3, -1, 1, 14
Let p(s) be the second derivative of s**4/6 + 2954*s**3/3 + 2181529*s**2 + 248*s - 13. Find m, given that p(m) = 0.
-1477
Let t be -9 + (-205 + 1)/(-12). Let b be ((-32)/12 + 3)*176/t. Factor -20/3 - b*w - 2/3*w**2.
-2*(w + 1)*(w + 10)/3
Let w(v) be the second derivative of -1