 + 6*h**4.
-(h - 1)*(h + 1)**3*(h + 2)
Let w = -4788 + 9577/2. Factor 1/4*i**5 + 1/4 - w*i**2 + 1/4*i + 1/4*i**4 - 1/2*i**3.
(i - 1)**2*(i + 1)**3/4
Determine l, given that 8*l + 2*l**3 + 10 + 2*l**5 - 12*l**3 + 0*l + 6 - 20*l**2 + 4*l**4 = 0.
-2, -1, 1, 2
Let v(y) = 8*y**5 + 160*y**4 + 1444*y**3 - 1600*y**2 + 4*y + 4. Let w(x) = -x**5 - x**4 - x**3 - x - 1. Let n(p) = v(p) + 4*w(p). Factor n(g).
4*g**2*(g - 1)*(g + 20)**2
Suppose 90*t - 87*t + 6 = 0. Let w be (-52)/20 + (1 - t). Factor 0 - 1/5*x**3 + w*x**2 - 1/5*x.
-x*(x - 1)**2/5
Let i(p) be the first derivative of -p**7/168 - p**6/72 + p**5/24 + 5*p**4/24 - p**3/3 - 7. Let x(u) be the third derivative of i(u). What is c in x(c) = 0?
-1, 1
Find z, given that 65 + 789/2*z**2 - 337/2*z**3 + 5/2*z**4 - 587/2*z = 0.
2/5, 1, 65
Suppose -5 - 9 = j - 5*b, -2*j + 8 = 2*b. Let i(u) be the first derivative of 1/6*u**3 - 1/8*u**2 - j - 1/16*u**4 + 0*u. Factor i(m).
-m*(m - 1)**2/4
Suppose -4*f + 11*u - 13*u = -12, 2*f + 3*u - 10 = 0. Let o = 470 + -3284/7. Solve 9/7 - o*q + 1/7*q**f = 0 for q.
3
Let d(o) = -7*o**3 - 11*o**2 + o + 7. Let s(b) = 30*b**3 + 45*b**2 - 3*b - 27. Let v(x) = -9*d(x) - 2*s(x). Factor v(j).
3*(j - 1)*(j + 1)*(j + 3)
Let t be (296/50 - 6)/(-48). Let n(r) be the third derivative of 0*r**4 + 0*r + 0*r**3 - t*r**6 + 4*r**2 + 0 + 1/1050*r**7 + 0*r**5. Factor n(v).
v**3*(v - 1)/5
Let m = 6 - 4. Suppose 2*t = -5*a - 0 + 5, m*t + 3 = 3*a. Factor t - 3/5*y**2 + 0*y**3 + 0*y + 3/5*y**4.
3*y**2*(y - 1)*(y + 1)/5
Let n(p) be the second derivative of -11*p**4/6 - 79*p**3/3 - 14*p**2 + 102*p. Determine y, given that n(y) = 0.
-7, -2/11
Suppose 5*i - 12 = 2*i. Let d(o) = 2*o**2 + 19*o + 12. Let r be d(-9). Let -5*g**r + 3*g**3 - 7*g**i + 1 - 1 = 0. Calculate g.
-2/7, 0
Let n(g) be the third derivative of g**8/336 - g**6/12 + g**5/3 - 5*g**4/8 + 7*g**3/6 + 3*g**2. Let s(t) be the first derivative of n(t). Solve s(i) = 0 for i.
-3, 1
Let i(g) = -2*g**4 + g**3 - g - 1. Let a(k) = 3*k**4 + 6*k**3 + 45*k**2 + 38*k + 2. Let z(r) = a(r) + 2*i(r). What is j in z(j) = 0?
-3, -1, 0, 12
Suppose 3*h + 47 = i, 2*i - 5*h = 3*i - 71. Factor 0*x**2 - 60*x**3 + i*x**3 - 4*x**2.
-4*x**2*(x + 1)
Let 8/9*k**2 + 22/9 + 10/3*k = 0. Calculate k.
-11/4, -1
Let y(o) = o**3 + o**2 - 4*o - 4. Let s be y(2). Let t(l) be the first derivative of 1/2*l**2 + s*l + 0*l**3 - 1/4*l**4 - 6. Solve t(p) = 0.
-1, 0, 1
Solve 5/2*l**2 + 19/6*l - 1/6*l**4 - 1/2*l**3 - 5 = 0.
-5, -2, 1, 3
Let x be (7 - 8)*(0 + 2 - 4). Let 4*g**3 - 283*g**x + 283*g**2 = 0. Calculate g.
0
Let m(y) be the first derivative of y**4/28 + 4*y**3/21 + 5*y**2/14 + 2*y/7 + 19. Factor m(q).
(q + 1)**2*(q + 2)/7
Let n(y) be the second derivative of y**4/6 - 83*y**3/12 - 21*y**2/4 + y + 7. Factor n(b).
(b - 21)*(4*b + 1)/2
Let w be 9/18 - (-6)/4. Let j be ((-1260)/(-27))/(-14) - (-12)/3. Factor -2/3*c**w - 4/3*c - j.
-2*(c + 1)**2/3
Suppose -44 = -26*u + 8. Let w(p) be the first derivative of -44/9*p**3 + 8*p**u + 4/3*p**4 - 6*p + 5 - 2/15*p**5. Factor w(t).
-2*(t - 3)**2*(t - 1)**2/3
Suppose -1 = -3*g + 4*h, g = 5*h - 0 - 7. Factor -7*m**g + 3*m**4 + 10*m + 5 - 20*m**2 + 2*m**4 + 10 - 3*m**3.
5*(m - 3)*(m - 1)*(m + 1)**2
Let c(d) be the second derivative of -d**4/3 + 2*d**3 + 20*d**2 + 25*d - 6. Factor c(z).
-4*(z - 5)*(z + 2)
Let m(y) = -3*y - 6. Let s be m(-3). Suppose -s*r - 4 = -13. Let 4 - 6 - 3 + 2 - 12*q + 12*q**3 + r*q**2 = 0. What is q?
-1, -1/4, 1
Suppose 17 = -6*j + 2*j - 3*b, -b - 7 = 2*j. Let h be 0 - 12/(-9) - (2 + j). Factor h*f**3 - 2*f**2 - 1/3*f**4 - 1/3 + 4/3*f.
-(f - 1)**4/3
Let z(r) be the second derivative of -r**9/27216 + r**8/7560 - r**6/1620 + r**5/1080 + 16*r**3/3 + 3*r. Let k(h) be the second derivative of z(h). Factor k(c).
-c*(c - 1)**3*(c + 1)/9
Let z(o) = 3*o**2 + 77*o - 22. Let s(p) = 4*p**2 + 155*p - 44. Let m(h) = 6*s(h) - 15*z(h). Factor m(b).
-3*(b + 11)*(7*b - 2)
Let c be 50/75 - (-5)/((-150)/14). Solve -1/5*s**2 + 0*s + c = 0.
-1, 1
Suppose 40*q - 2569 = -2409. Determine j so that -2*j**2 + 8/3*j**3 + 2*j**q + 0 + 1/3*j**5 - 3*j = 0.
-3, -1, 0, 1
Suppose 0 = -5*t + 2*t + 3*x + 63, 5*t - 102 = 4*x. Let q be ((-39)/t + 2)*-2. Factor 0*b**3 + 0*b - 1/3*b**2 + q*b**4 + 0.
b**2*(b - 1)*(b + 1)/3
Factor 169468*n**4 - 57 - 7 + 18*n**3 + 44*n**2 - 169466*n**4.
2*(n - 1)*(n + 2)*(n + 4)**2
Let m = -32 - -75. Let q = 48 - m. What is h in 0 - 1/5*h**2 + 1/5*h**q + 3/5*h**3 - 3/5*h**4 + 0*h = 0?
0, 1
Suppose -5*v + 41 = 3*n - 7*n, -5*n = -5. Let s be (6/2)/v*0. Solve 2/11*f + s + 2/11*f**4 - 2/11*f**3 - 2/11*f**2 = 0 for f.
-1, 0, 1
Let c(m) be the first derivative of -m**7/840 + m**6/120 - m**5/48 + m**4/48 - 27*m**2/2 + 19. Let v(b) be the second derivative of c(b). Factor v(n).
-n*(n - 2)*(n - 1)**2/4
Let n = 7131/5 - 1426. Factor 4/5*w**2 + 0 + n*w**3 + 3/5*w.
w*(w + 1)*(w + 3)/5
Let z be (0 - -5) + 1 + -3. Suppose 0 = y + z*u - 1, -2*y = -3*u - 2*u - 13. Determine q, given that 7*q**y + 2*q**5 - 15*q**4 - q**5 + 3*q**5 = 0.
0, 2
Let h be (-108)/(-405)*(-5)/(-4). What is w in 1/3*w - 1/3 + h*w**2 - 1/3*w**3 = 0?
-1, 1
Let d = 899/2 + -11236/25. Let a(v) be the second derivative of 1/30*v**4 + 5*v - 2/5*v**2 - 1/5*v**3 + d*v**5 + 0 + 1/75*v**6. Solve a(o) = 0.
-2, -1, 1
Let o(x) be the third derivative of x**8/84 + 76*x**7/735 + 19*x**6/70 - 2*x**5/21 - 34*x**4/21 - 16*x**3/7 + 151*x**2. Determine j, given that o(j) = 0.
-2, -3/7, 1
Determine k, given that -608/3*k - 46208/3 - 2/3*k**2 = 0.
-152
Let h(a) = 11*a**2 - 147*a + 235. Let g(v) = 27*v**2 - 366*v + 588. Let o(t) = -5*g(t) + 12*h(t). Determine n so that o(n) = 0.
2, 20
Factor -1/4*z**2 + 23*z - 91/4.
-(z - 91)*(z - 1)/4
Let r(d) be the first derivative of -4*d**5/5 + 12*d**4 - 184*d**3/3 + 120*d**2 - 100*d + 11. Determine q, given that r(q) = 0.
1, 5
Let o(h) be the third derivative of 9*h**2 + 0*h + 0 + 0*h**3 - 1/210*h**5 - 1/42*h**4. Suppose o(a) = 0. What is a?
-2, 0
Let h(n) be the third derivative of 2/3*n**4 + 3/20*n**5 + 0 + 7*n**2 - 2/3*n**3 + 0*n. Suppose h(i) = 0. What is i?
-2, 2/9
Let r(t) = -585*t**3 + 636*t**2 - 78*t. Let q(i) = -45*i**3 + 49*i**2 - 6*i. Let d(m) = -27*q(m) + 2*r(m). Factor d(z).
3*z*(z - 1)*(15*z - 2)
Let i(a) be the third derivative of -a**9/5040 + a**8/1120 - a**6/120 + a**5/40 - 5*a**4/12 - 5*a**2. Let m(y) be the second derivative of i(y). Factor m(s).
-3*(s - 1)**3*(s + 1)
Let o(p) be the third derivative of -p**8/84 - 4*p**7/35 - 13*p**6/30 - 4*p**5/5 - 2*p**4/3 + 71*p**2. Let o(a) = 0. Calculate a.
-2, -1, 0
Determine i so that -8/5*i + 2/5*i**3 - 4/5*i**2 + 1/5*i**4 + 0 = 0.
-2, 0, 2
Let v(s) be the third derivative of -s**5/450 - 53*s**4/18 - 14045*s**3/9 + 48*s**2 - 6. Find w such that v(w) = 0.
-265
Let q(o) = 14*o**2 - 198*o - 50. Let k(j) = -13*j**2 + 198*j + 50. Let p(m) = -6*k(m) - 5*q(m). Let p(b) = 0. What is b?
-1/4, 25
Let z(t) be the first derivative of 12*t**4 - 72*t**3 - 765*t**2/2 - 525*t - 154. Factor z(n).
3*(n - 7)*(4*n + 5)**2
Let d(g) = -g**2 + g. Let j(h) = 8 - 7*h + 0*h - h. Let z(a) = -4*d(a) - j(a). Factor z(o).
4*(o - 1)*(o + 2)
Let n be ((-1 - 2) + -1)*-1*44/132. Factor -n*b**2 + 4*b - 8/3.
-4*(b - 2)*(b - 1)/3
Let h(o) = 4*o**4 + 19*o**3 - 49*o**2 - 19*o + 34. Let g(b) = 9*b - 5*b**3 + 16*b**2 + 3 - 3*b - 14 - b**3 - b**4. Let u(j) = -11*g(j) - 4*h(j). Factor u(q).
-5*(q - 1)**2*(q + 1)*(q + 3)
Let r = 3592 - 75430/21. Factor -r*b**2 - 4/21 + 2/7*b.
-2*(b - 2)*(b - 1)/21
Let c(t) be the third derivative of -t**9/100800 + t**7/2800 + t**6/600 - t**5/10 + 34*t**2. Let k(u) be the third derivative of c(u). Let k(z) = 0. What is z?
-1, 2
Let z(l) = l**3 - 9*l**2 + 5*l + 24. Let h be z(8). Suppose h = -6*p - 10*p. Find u such that p - 2/9*u**2 + 0*u = 0.
0
Let i be (8 - 630/50) + 5. Factor -18/5*h + 2 + 6/5*h**2 + i*h**3.
2*(h - 1)**2*(h + 5)/5
Let t be (6/(-4))/((-15)/(-80)). Let i(m) = m**3 + 8*m**2 - 6*m. Let n be i(t). Let -y**2 - 48*y + n*y = 0. Calculate y.
0
Let -y**4 + 3600*y**2 + 3*y**5 - 4*y**5 + 10*y**4 - 580*y**3 + 5*y**4 + 6912 - 8640*y + 26*y**4 = 0. What is y?
2, 12
Factor -73*x - 1661 - 179*x + 3*x**2 + 6953.
3*(x - 42)**2
Solve -14/5*i**5 + 6/5*i**3 - 32/5*i**2 + 0 + 8/5*i + 32/5*i**4 = 0.
-1, 0, 2/7, 1, 2
Suppose 24*i + i**3 - 48 + 36207*i**2 + 2*i**3 - 36186*i**2 = 0. Calculate i.
-4, 1
Supp