 4)**2/2
Let i(j) be the third derivative of -j**6/120 + j**5/30 + j**4/6 - 4*j**3/3 - 17*j**2 + 2. What is m in i(m) = 0?
-2, 2
Suppose 1/4*b**2 - 3/4*b + 1/2 = 0. What is b?
1, 2
Determine f, given that -7*f - f**2 + 987 - 23*f - 4*f**2 - 852 = 0.
-9, 3
Suppose 0*s**4 - 3*s**3 - 4*s**2 + 2*s**4 - s**4 = 0. Calculate s.
-1, 0, 4
Let v(x) = 7*x**3 - 47*x**2 - 58*x + 93. Let f(m) = -20*m**3 + 140*m**2 + 172*m - 278. Let p(a) = -5*f(a) - 14*v(a). Factor p(u).
2*(u - 22)*(u - 1)*(u + 2)
Let q(o) be the third derivative of o**5/120 - o**4/24 - o**3/4 + 87*o**2. Let q(s) = 0. What is s?
-1, 3
Let h(y) be the third derivative of -1/40*y**5 + 1/720*y**6 + 0*y + 8*y**2 + 0 + 0*y**3 + 0*y**4. Factor h(f).
f**2*(f - 9)/6
Determine h so that -2/7*h**5 + 48/7*h + 0 + 44/7*h**3 - 88/7*h**2 - 2/7*h**4 = 0.
-6, 0, 1, 2
Let u(m) be the second derivative of m**5/120 - m**4/12 + m**3/4 + 9*m**2 + 6*m. Let g(v) be the first derivative of u(v). Factor g(n).
(n - 3)*(n - 1)/2
Suppose 6*j = 15*j - 27. Factor -248*p + 248*p - 4*p**4 - 24*p**j.
-4*p**3*(p + 6)
Let h(i) be the second derivative of -i**5/15 + i**4/9 - 4*i - 15. Factor h(q).
-4*q**2*(q - 1)/3
Let b(p) be the third derivative of p**6/60 + 11*p**5/6 + 182*p**4/3 - 784*p**3/3 + 236*p**2 - 1. Factor b(m).
2*(m - 1)*(m + 28)**2
Let j(w) be the second derivative of w**5/40 - 5*w**4/8 + 25*w**3/4 - 125*w**2/4 - w. Factor j(l).
(l - 5)**3/2
Let v(p) be the first derivative of -2*p**6/3 + 8*p**5/5 + 3*p**4 - 32*p**3/3 + 8*p**2 - 124. Solve v(n) = 0 for n.
-2, 0, 1, 2
Let -35/2*m + 1/2*m**2 + 35/2*m**3 - 1/2*m**4 + 0 = 0. Calculate m.
-1, 0, 1, 35
Suppose 0 + 0*s**2 + 32/7*s**3 - 1/7*s**5 + 0*s - 4/7*s**4 = 0. What is s?
-8, 0, 4
Let c(g) = 2*g**2 + 2*g + 1. Let r be c(-1). Let q be 7/3 - r/3. Suppose a**4 - q*a**2 + 3*a**2 + 2*a**3 - 3*a**3 - a**3 = 0. Calculate a.
0, 1
Let h = 59/4 + -173/12. Solve 5/3*c**2 + 4/3*c**3 + h*c**4 + 2/3*c + 0 = 0.
-2, -1, 0
Let n = -4227 - -38045/9. Solve 14/9*z**3 - 7/9*z + n*z**4 + 2/9 - 7/9*z**5 - 4/9*z**2 = 0.
-1, 2/7, 1
Let o(q) be the third derivative of -q**8/3360 - q**7/315 - q**6/90 - 7*q**4/8 - 21*q**2. Let p(f) be the second derivative of o(f). Factor p(u).
-2*u*(u + 2)**2
Let d(b) be the first derivative of -b**5/15 + 9*b**4/4 - 200*b**3/9 + 58*b**2 + 192*b - 541. Factor d(u).
-(u - 16)*(u - 6)**2*(u + 1)/3
Let h(w) be the first derivative of w**5/120 - w**4/48 - w**3/6 - 4*w**2 - 12. Let z(n) be the second derivative of h(n). Suppose z(s) = 0. What is s?
-1, 2
Let x(a) be the first derivative of -8/3*a**3 + 4/5*a**5 + 0*a**4 + 0*a**2 - 22 + 4*a. What is k in x(k) = 0?
-1, 1
Let k = -7/3 - -8/3. Let d = -324 - -974/3. Let d - 5/3*t**3 - 8/3*t**2 - k*t = 0. What is t?
-1, 2/5
Solve 1113*s + 8*s**4 - 39*s**2 - 717*s + 3*s**4 - 90*s**3 + 10*s**4 - 108 = 0.
-2, 2/7, 3
Suppose -11/3*a - 2 + 1/3*a**4 + a**3 - a**2 = 0. Calculate a.
-3, -1, 2
Factor -5 + 2*v**2 - 750*v + 776*v - v**2 + 53.
(v + 2)*(v + 24)
Suppose 0 = 3*o + 2*o - 10. Let u be (-147)/(-15) + (-2)/((408/(-108))/(-17)). Find l, given that -28/5*l - u + 32/5*l**o = 0.
-1/8, 1
Let k(u) be the third derivative of -u**5/240 + 41*u**4/96 - 4*u**2 + 8*u. Factor k(l).
-l*(l - 41)/4
Let j be (-140)/490 + 40/42. Factor 0*c - 4/3*c**2 + 0 + j*c**3.
2*c**2*(c - 2)/3
Let j be (-14 - -2)*(-2)/6. Let b be 1/(j/28) + -2. Let c**5 + 4*c**2 + 12*c**4 + 7*c**3 + 2*c**b + c**5 + 5*c**3 = 0. Calculate c.
-1, 0
Let x(y) be the second derivative of 1/120*y**6 + 1/12*y**3 + 0*y**2 + 0 + 0*y**5 - 13*y - 1/16*y**4. Solve x(q) = 0.
-2, 0, 1
Let q(d) be the third derivative of -d**8/672 - 11*d**7/1680 + 7*d**6/960 + 11*d**5/480 - d**4/64 - 47*d**2 - 2. Suppose q(u) = 0. Calculate u.
-3, -1, 0, 1/4, 1
Let s be 56/18 + 1 - (-2866 - -2869). Factor -s*a**2 + 4/9*a**3 - 4/3*a + 0 + 2/9*a**4.
2*a*(a - 2)*(a + 1)*(a + 3)/9
Factor -13/2*r**2 + 0 - 6*r + 1/4*r**4 - 1/4*r**3.
r*(r - 6)*(r + 1)*(r + 4)/4
Let b be -2 + (16/(-28))/((-4)/14). Let n be (23 + -26)*(-1 - b). Find w such that 2/3*w**2 + 0*w**n - 2/3*w**4 + 0*w + 0 = 0.
-1, 0, 1
Factor 10/3*a + 2/3*a**2 - 100/3.
2*(a - 5)*(a + 10)/3
Factor -22*z + 1/2*z**2 + 242.
(z - 22)**2/2
Let d(q) = 26*q**2 + 30*q + 8. Let t(f) = f**2 + f + 1. Let p(y) = d(y) - 4*t(y). Suppose p(z) = 0. What is z?
-1, -2/11
Let p be (60/(-36))/(3 - 73/24). Let k be (5/p)/(15/6 - 2). Determine i so that 25/4 + k*i**2 + 5/2*i = 0.
-5
Let i be (-1)/15 + 1*3/15. Let g(q) be the first derivative of 3 + 2/5*q + 2/5*q**2 + i*q**3. Let g(l) = 0. Calculate l.
-1
Let n(x) be the first derivative of -2/3*x**3 + 2/5*x**5 + 0*x + 0*x**4 + 13 + 0*x**2. Let n(z) = 0. What is z?
-1, 0, 1
Let c(p) be the third derivative of -5*p**7/42 + 31*p**6/12 - 17*p**5 + 15*p**4 - 95*p**2. Factor c(h).
-5*h*(h - 6)**2*(5*h - 2)
Let w(y) be the third derivative of -y**7/105 + 3*y**6/4 + 23*y**5/15 - 3*y**2 - 31. Solve w(m) = 0.
-1, 0, 46
Let r(q) be the third derivative of -q**7/315 + q**5/10 - 86*q**2. Factor r(h).
-2*h**2*(h - 3)*(h + 3)/3
Solve 3/4 + 3/8*y**3 - 3/8*y - 3/4*y**2 = 0.
-1, 1, 2
Let t(i) be the second derivative of -i**6/120 + i**4/8 + i**3/3 + 5*i**2/2 - 8*i. Let r(q) be the first derivative of t(q). Find a such that r(a) = 0.
-1, 2
Determine f, given that 3/2*f**4 + 0 - 3/2*f**3 - 3/2*f**2 + 3/2*f = 0.
-1, 0, 1
Find h, given that 1/2*h**2 - 9/4*h**3 + 0 + 1/4*h**4 + 12*h = 0.
-2, 0, 3, 8
Let j(u) be the first derivative of 0*u - 1/7*u**5 - 3/7*u**3 - 3/7*u**4 + 8 - 1/7*u**2. Determine y, given that j(y) = 0.
-1, -2/5, 0
Let i(z) be the second derivative of -9*z + 0 - 1/6*z**4 + 0*z**2 - 2/3*z**3. Factor i(c).
-2*c*(c + 2)
Let c = 49 - 46. Determine m, given that 4*m**2 - 3*m**3 + 4*m - c - 1 - m**3 = 0.
-1, 1
Let g(k) be the third derivative of -k**6/270 + 2*k**5/45 - 2*k**4/9 - k**3/3 + 12*k**2. Let z(a) be the first derivative of g(a). Let z(h) = 0. Calculate h.
2
Let v(u) be the second derivative of -1/14*u**7 - 3/4*u**4 - 3/4*u**5 - 1/3*u**3 + 0*u**2 + 26*u + 0 - 11/30*u**6. Factor v(h).
-h*(h + 1)**3*(3*h + 2)
What is x in -10658/7*x + 0 - 292/7*x**2 - 2/7*x**3 = 0?
-73, 0
Let x be (-3)/4*(-16)/6. Let w(y) = 7*y + x - 1 + 19*y**2 - 6*y**3 - 8. Let z(k) = 3*k**3 - 10*k**2 - 4*k + 4. Let o(m) = 4*w(m) + 7*z(m). Factor o(h).
-3*h**2*(h - 2)
Let h(s) be the third derivative of s**4/12 - 3*s**3 + 9*s**2. Let m be h(9). Determine a so that -3 + 6*a**2 + 4*a + m + 2*a**3 + 3 = 0.
-2, -1, 0
Let f(t) be the second derivative of -t**10/226800 - t**9/18900 - t**8/5600 + 3*t**4/4 + 22*t. Let l(m) be the third derivative of f(m). Factor l(o).
-2*o**3*(o + 3)**2/15
Factor 80/7*s - 4/7*s**3 + 4/7*s**2 + 0.
-4*s*(s - 5)*(s + 4)/7
Let f = -77 - -87. Suppose 0 = f*q - q - 18. Factor -2/5*z**4 + 0 + 4/5*z**3 - 4/5*z + 2/5*z**q.
-2*z*(z - 2)*(z - 1)*(z + 1)/5
Let p(k) = 4*k**4 - 45*k**3 + 124*k**2 - 130*k + 5. Let m(g) = 10*g**4 - 112*g**3 + 310*g**2 - 324*g + 12. Let q(x) = 5*m(x) - 12*p(x). Factor q(y).
2*y*(y - 5)*(y - 3)*(y - 2)
Let x(a) be the first derivative of -a**4 - 44*a**3/3 + 79. Suppose x(m) = 0. What is m?
-11, 0
Let 2/5*b**4 + 24/5*b**3 - 384/5*b + 512/5 + 8/5*b**2 = 0. Calculate b.
-8, 2
Suppose -a + 5*y = -16 - 7, 0 = a + 2*y + 12. Let m(n) = 4*n**2 + 3*n. Let s(l) = -3*l**2 - 2*l. Let b(f) = a*m(f) - 3*s(f). Factor b(d).
d**2
Suppose 12 - 15 = -a. Determine y, given that -2*y**2 + 14*y - 3*y**4 - 11*y + 5*y**2 - 3*y**a = 0.
-1, 0, 1
Let s(u) be the first derivative of u**7/735 - u**6/105 + u**5/105 + u**4/21 - u**3/7 + 7*u**2/2 - 16. Let i(t) be the second derivative of s(t). Factor i(x).
2*(x - 3)*(x - 1)**2*(x + 1)/7
Suppose -122*y + 259*y - 118*y - 38 = 0. What is b in -1/5*b - 1/5*b**y + 6/5 = 0?
-3, 2
Suppose 0*i + 4*k = 5*i + 20, -5 = 4*i - k. Suppose -5*g = -i*g. Factor d**2 + 3*d**4 + 3*d**3 + 9*d + g*d**4 - 9*d + d**5.
d**2*(d + 1)**3
Solve 177*a**4 + 934*a**2 - 57*a - 1225*a**3 - 14*a**2 - 123*a - 52*a**4 = 0.
0, 2/5, 9
Suppose -4*w + r = -r + 24, -2*r = 5*w + 21. Let k(u) = 4*u**4 - 4*u**3 + u**2. Let y(l) = l**4 - l**3 + l**2. Let n(p) = w*k(p) + 15*y(p). Factor n(x).
-5*x**2*(x - 2)*(x + 1)
Let x(n) be the second derivative of -n**5/40 - 17*n**4/72 + 3*n**3/4 - 7*n**2/12 + 124*n. Factor x(h).
-(h - 1)*(h + 7)*(3*h - 1)/6
Let z(h) be the second derivative of -h**7/14 - h**6/10 + 3*h**5/4 + 5*h**4/4 - 2*h**3 - 6*