 of o**6/120 + 31*o**5/30 + 5*o**4 + 3007*o**2. Factor z(g).
g*(g + 2)*(g + 60)
Let n(v) be the second derivative of -v**4/12 - 2003*v**3/6 + 1002*v**2 + 508*v - 2. What is h in n(h) = 0?
-2004, 1
Let a be (1 - -3)*((-24)/(-16) - 1). Factor 5*w**a + 900 - 4*w**2 + 530*w - 590*w.
(w - 30)**2
Let l(g) = -17*g**2 + 34*g - 205. Let k(d) = -26*d**2 + 33*d - 205. Let v(x) = -2*k(x) + 3*l(x). Factor v(m).
(m - 5)*(m + 41)
Let i(k) = -10*k**3 + 494*k**2 + 850*k + 346. Let o(x) = x**3 - x**2 - x + 1. Let b(j) = -i(j) + 2*o(j). Factor b(f).
4*(f - 43)*(f + 1)*(3*f + 2)
Let -37/2*m**2 + 73/4 + 1/4*m**4 + 18*m**3 - 18*m = 0. What is m?
-73, -1, 1
Suppose 14092/11*z**3 - 810000/11*z + 2/11*z**5 - 294/11*z**4 + 1000000/11 - 203800/11*z**2 = 0. What is z?
-4, 1, 50
Let v(y) be the third derivative of -y**6/40 + 33*y**5/5 + 819*y**4/8 + 621*y**3 + 2*y**2 - 704*y. Find n, given that v(n) = 0.
-3, 138
Let c = 3553/11410 - 13/1141. Let r(x) be the second derivative of 26*x + c*x**5 + 0 + 33/4*x**4 + 8*x**3 - 11/10*x**6 - 6*x**2. What is f in r(f) = 0?
-1, 2/11, 2
Let -4112/3*j**3 - 8*j**2 + 0*j + 0 - 58938*j**4 - 19494*j**5 = 0. Calculate j.
-3, -2/171, 0
Suppose 0 = -18*z + 4202 + 28. Let l be (15/(-12))/(z/(-94)). Suppose 11/2*y - 5 - l*y**2 = 0. Calculate y.
1, 10
Let m(j) = -j**4 + j**3 + 28*j**2 - 4*j - 8. Let a(h) = -h**4 + h**3 + 34*h**2 - 4*h - 10. Let r(l) = -8*a(l) + 10*m(l). Determine x so that r(x) = 0.
-2, 0, 1, 2
Suppose -4*x + 11*x = 9*x. Factor -28*i**3 - 1 + 2 + 48*i + 36*i**2 - 17 + x.
-4*(i - 2)*(i + 1)*(7*i - 2)
Let t(n) be the third derivative of -2/9*n**4 - 7*n**2 + 0 + 1/45*n**5 + 0*n**3 + 2/45*n**6 - n - 2/315*n**7. Factor t(q).
-4*q*(q - 4)*(q - 1)*(q + 1)/3
Suppose 3*q - c = 20, 28*q - 10 = 29*q + 3*c. Suppose q*g + 0*x = -3*x + 25, -g + 2*x - 8 = 0. Suppose 0 + 6/7*o + 2/7*o**g = 0. What is o?
-3, 0
Let z(v) be the first derivative of -v**4/44 - 91*v**3/11 - 9384*v**2/11 - 18496*v/11 - 9767. Suppose z(k) = 0. What is k?
-136, -1
Factor 1/6*g**4 - 1052 - 261/2*g**3 - 787*g**2 - 4730/3*g.
(g - 789)*(g + 2)**3/6
Let v(g) = -12 - 2*g**2 + 2*g - 1 + 7 - 2*g - 4*g. Suppose a + 3 = 2*a. Let q(m) = -5*m**2 - 9*m - 12. Let z(u) = a*q(u) - 7*v(u). Factor z(x).
-(x - 3)*(x + 2)
Let q(f) be the third derivative of f**6/480 + f**5/60 - 31*f**4/96 - 35*f**3/12 + 2*f**2 + 956*f. Solve q(d) = 0.
-7, -2, 5
Let h be 152/(-48)*1/(-5)*15. Factor -h*c**2 - 32*c - 22 + 1/2*c**3.
(c - 22)*(c + 1)*(c + 2)/2
Let f(p) be the third derivative of 0*p**4 + 0*p - 7/24*p**5 - 66*p**2 + 0 + 0*p**3 - 1/48*p**6. Let f(r) = 0. What is r?
-7, 0
Let m(h) be the third derivative of -h**5/180 - 5*h**4/4 + 92*h**3/9 - 181*h**2 + 2. Factor m(q).
-(q - 2)*(q + 92)/3
Factor 1959/4*m + 327/2 + 645/4*m**3 - 3/4*m**4 + 1953/4*m**2.
-3*(m - 218)*(m + 1)**3/4
Let h be (2 - -1) + (2 - 5). Suppose 17 = p + 3*w, h*p = -3*p - 2*w + 16. Determine l so that -675 - 27*l - 21*l - 3*l**p + 70*l + 68*l = 0.
15
Determine y, given that 0 + 1/3*y**3 + 160/3*y - 44/3*y**2 = 0.
0, 4, 40
Let z(q) be the third derivative of -5/21*q**7 + 5/336*q**8 + 7/6*q**6 + 0*q**4 + 32*q**2 + 0 - 2*q**5 + 0*q**3 - 2*q. Factor z(m).
5*m**2*(m - 6)*(m - 2)**2
Let j = 1422337/4 + -355583. Factor -1/4*q**3 - j*q + 3 - 3/2*q**2.
-(q - 1)*(q + 3)*(q + 4)/4
Suppose 0 = 5*l - 15, -4*n + 19 = -2*n + 3*l. Factor -742*q - 65*q**3 - n*q**4 + 742*q.
-5*q**3*(q + 13)
Let p(g) be the first derivative of 8/45*g**3 + 4/5*g**2 + 0*g - 1/30*g**4 + 7. Factor p(f).
-2*f*(f - 6)*(f + 2)/15
Let a(z) be the second derivative of z**6/45 - 913*z**5/30 - z**4/6 + 2737*z**3/9 + 1826*z**2/3 + 6637*z. Find y, given that a(y) = 0.
-1, 2, 913
Factor 247/2*i + 1/2*i**3 - 315/2 + 67/2*i**2.
(i - 1)*(i + 5)*(i + 63)/2
Let s(b) be the third derivative of b**5/15 + b**4/2 + 4*b**3/3 - 1699*b**2. Solve s(r) = 0 for r.
-2, -1
Let k = -54 + 9. Let w be k/(-12) - 7/(-28). Factor 98*u**2 - 4*u + 35*u**w - 75*u**3 - 5*u**5 - 53*u**2 + 4*u.
-5*u**2*(u - 3)**2*(u - 1)
Let r(q) = 30538*q + 152890. Let t be r(-5). Factor -t - 1/2*a**2 - 20*a.
-(a + 20)**2/2
Suppose 3*j + 3*b - 21 = 0, -j + 1 = -2*b + b. Suppose 58 = 4*d + t, 0*t = -2*t - j. Factor k**3 - 17*k - 6*k**2 + 11*k + 26*k**3 - d*k**2.
3*k*(k - 1)*(9*k + 2)
Suppose 0 = -11*r + 5*s + 495 - 386, 3*r + 53 = -5*s. Let m**3 + 0 - m + 1/3*m**r - 1/3*m**2 = 0. What is m?
-3, -1, 0, 1
Let 0 + 12/7*d**4 + 270/7*d + 312/7*d**3 + 564/7*d**2 - 6/7*d**5 = 0. Calculate d.
-5, -1, 0, 9
Let s be ((-2)/(-9))/((-6)/(-27))*6. Find x such that -13*x - 2*x**2 + s*x + 3*x + 9*x - 5*x**3 + 2 = 0.
-1, -2/5, 1
Let m be 1*6/(-6)*-3. Suppose -1 - 4 = 5*t - m*k, -35 = -5*t - 5*k. Factor 3/2*o**t + 6*o + 0.
3*o*(o + 4)/2
Let m = -511802 + 511805. Determine f so that 176/3*f**2 - 27*f**m - 29/3*f**4 - 2/3*f**5 + 0 - 64/3*f = 0.
-8, 0, 1/2, 1
Factor 0*n + 0 - 21/4*n**4 - 243/4*n**2 - 1/4*n**5 + 153/4*n**3.
-n**2*(n - 3)**2*(n + 27)/4
Solve 0*z + 0*z**2 + 9/4*z**3 - 3/8*z**4 + 0 = 0 for z.
0, 6
Suppose 0*z + 18 = 3*z. Let k be z/((2 - 0)/(3 - 2)). What is y in -16*y + 0*y**3 + 4*y**3 - 3*y**3 + 16*y**2 + k*y**3 - 4*y**4 = 0?
-2, 0, 1, 2
Let i(t) be the second derivative of 5*t**4/27 + 89*t**3/3 + 80*t**2/9 - t - 156. Factor i(b).
2*(b + 80)*(10*b + 1)/9
What is n in 24/5*n**3 - 216*n - 1215 - 3/5*n**4 + 222/5*n**2 = 0?
-5, 9
Let x(g) be the first derivative of -1/20*g**5 - 5/4*g**4 - 11*g**3 - 64*g - 241 - 40*g**2. Solve x(l) = 0.
-8, -2
Factor 404/15*p - 20402/15 - 2/15*p**2.
-2*(p - 101)**2/15
Let c be ((-8)/(-10))/((-9)/20*(30 + 2650/(-75))). Factor -1/3*y**2 + 1/3 + 1/3*y**3 - c*y.
(y - 1)**2*(y + 1)/3
Let j = -289 - -295. Let i be 0 + 129/j + -8. Let i*z - 18*z**2 + 15/2*z**3 - 3 = 0. Calculate z.
2/5, 1
Let p = -90 - -96. Suppose -21 = -r - p*r. Suppose -8*a**3 + 0*a**2 + r*a**2 + 3*a**3 + 4*a**3 = 0. Calculate a.
0, 3
Suppose 0 = 4*p - 41 + 9. Suppose -p = -6*x + 4. Find u such that -u + u - 4*u**x - 3*u**4 + 20*u**3 - 25*u**4 + 12*u**5 = 0.
0, 1/3, 1
Let r(l) be the first derivative of l**7/1050 + l**6/600 - l**5/150 + l**2 - 29*l - 14. Let j(g) be the second derivative of r(g). Suppose j(m) = 0. What is m?
-2, 0, 1
Suppose 25*i**2 + 5*i**4 - 32 + 381*i - 356*i + 2 - 25*i**3 = 0. Calculate i.
-1, 1, 2, 3
Let r(t) = -15*t - 298. Suppose -3*o = -q + 58, 0 = 3*o + 4*q + 81 - 13. Let d be r(o). Find g such that -6/5*g + 0 + 2*g**d + 22/5*g**3 + 6/5*g**4 = 0.
-3, -1, 0, 1/3
Let w(s) be the first derivative of -1570009*s**4/22 + 9430078*s**3/33 - 15040*s**2/11 + 24*s/11 - 4895. Factor w(i).
-2*(i - 3)*(1253*i - 2)**2/11
Let x(a) be the first derivative of a**3/9 - 5*a**2/2 - 34*a/3 - 1136. Factor x(c).
(c - 17)*(c + 2)/3
Let l(n) = n**5 + n**4 + 3*n**3 + n + 1. Let u(f) = 10*f**5 + 895*f**4 - 745*f**3 - 1135*f**2 + 685*f + 220. Let q(t) = 10*l(t) + u(t). Solve q(s) = 0.
-46, -1, -1/4, 1
Let f(b) = -2*b**3 + b**2 + b + 1. Let g(l) = 7*l**3 + 1823*l**2 - 1112647*l + 225866525. Let m(i) = -20*f(i) - 5*g(i). What is v in m(v) = 0?
609
Suppose 201*z + 34 = 218*z. Let d = -7 - -12. Factor 36 + 3*g**3 - d*g**2 + 48*g + 8*g**z - g**2 + 19*g**2.
3*(g + 2)**2*(g + 3)
Let m(r) be the third derivative of -r**10/6048 - r**9/504 - 5*r**8/1344 + 53*r**4/12 - 103*r**2 + 2. Let k(t) be the second derivative of m(t). Factor k(b).
-5*b**3*(b + 1)*(b + 5)
Let n(o) be the third derivative of -o**6/300 + o**5/5 + 661*o**4/60 + 42*o**3 + 779*o**2 - 8. Determine y so that n(y) = 0.
-14, -1, 45
Suppose -4*b = -p - 21, 3*p - 7*p = 4*b + 4. Let m be (b/(-14))/(320/(-35) + 7). Find n, given that 0 - 4/15*n**4 + 0*n**3 + m*n - 2/15*n**5 + 4/15*n**2 = 0.
-1, 0, 1
Let x(y) be the first derivative of -2*y**6/3 + 56*y**5 - 195*y**4 - 1720*y**3/3 + 3800*y**2 - 6432*y - 2174. Find b, given that x(b) = 0.
-3, 2, 67
Factor -18*o**2 - 24 - 8 - 35*o**3 + 15*o**3 - 48*o + 18*o**3 + 0*o**2.
-2*(o + 1)*(o + 4)**2
Let l(y) be the first derivative of 9/4*y - 28 + 1/2*y**3 - 3/32*y**4 + 33/16*y**2. Suppose l(x) = 0. What is x?
-1, 6
Let l be 80/(-352) - (-549)/1342. Determine m so that 4/11*m**2 + 0 + 0*m + l*m**3 = 0.
-2, 0
Solve 3/4*s**4 + 0 + 15/4*s - 3/4*s**2 - 15/4*s**3 = 0 for s.
-1, 0, 1, 5
Let f(v) be the first derivative of v**5/4 - 11*v**4/8 + 23*v**3/12 - 3*v**2/4 + 3986. Suppose f(y) = 0. What is y?
0, 2/5, 1, 3
Let w be -3 + -6 + 6 - -5. Let b(n) be the fi