 - 6*h**2 + 77*h - 26. Let d be x(6). Factor 3/2*m**5 + 3*m**2 + 6*m**3 - 6*m**d - 15/2*m + 3.
3*(m - 2)*(m - 1)**3*(m + 1)/2
Suppose -8*k**5 + 50*k**2 + 64/3*k - 38/3*k**4 + 80/3*k**3 + 8/3 = 0. What is k?
-2, -1, -1/3, -1/4, 2
Let z(b) be the first derivative of 64*b**5/5 + 56*b**4 + 44*b**3 - 56*b**2 + 16*b + 50. Factor z(q).
4*(q + 2)**2*(4*q - 1)**2
Determine x so that -1080*x**3 - x**4 + 7*x**2 - 2*x**4 - 2*x + 1078*x**3 = 0.
-2, 0, 1/3, 1
Let p(n) be the third derivative of 2/3*n**3 + 0 - 5*n**2 - 1/20*n**6 + 1/4*n**4 - 1/105*n**7 - 1/30*n**5 + 0*n. Factor p(g).
-2*(g - 1)*(g + 1)**2*(g + 2)
Let y(x) = 17*x**3 - 2*x**2 - 53*x - 17. Suppose g - 2*a = -5, 3*a - 12 + 4 = g. Let b(j) = j**3 - j**2 - j - 1. Let h(r) = g*y(r) - 5*b(r). Factor h(d).
3*(d - 2)*(d + 2)*(4*d + 1)
Let g(k) = -k**2 - 6*k - 5. Let b(j) = j**2 + 7*j + 6. Suppose 0 = a - 0*a - 4. Let f(z) = a*g(z) + 3*b(z). Suppose f(q) = 0. Calculate q.
-2, -1
Let n = -5217 + 3510. Let d be n/(-126) + 15/90. Solve -d*j + 128/7*j**2 + 18/7 = 0 for j.
3/8
Let w = 112 + -107. Let d(p) be the first derivative of 0*p**2 + w + 0*p - 3/4*p**4 + 0*p**3. Suppose d(l) = 0. Calculate l.
0
Factor -10202 - 10798 + 544*s + 0*s**2 + 10580 - 2*s**2 - 26572.
-2*(s - 136)**2
Let s(r) = -11*r - 29. Let f be s(-3). Factor -8/5*o**2 - 1/5*o**f + 0 + 4/5*o + o**3.
-o*(o - 2)**2*(o - 1)/5
Suppose 5*m = 3*a - 10, 4*a - 23 = -3*m - 0*a. Suppose 3*y - m = -2*l - 6, -4*l + 11 = -y. Factor 3*u**2 + 0*u**2 - u**4 + 2*u**l - u**3 - 3*u**2.
-u**2*(u - 1)*(u + 2)
Factor 14/3*m**3 + 0 + 10/3*m**4 + 0*m + 2/3*m**5 + 2*m**2.
2*m**2*(m + 1)**2*(m + 3)/3
Factor -2/9*i**4 + 2/9*i - 2/9*i**3 + 0 + 2/9*i**2.
-2*i*(i - 1)*(i + 1)**2/9
Factor -2/13*m**4 + 0 - 242/13*m**2 + 0*m + 44/13*m**3.
-2*m**2*(m - 11)**2/13
Suppose -889 = -5*s - 879. Suppose -3/2*p - p**s + 1 + 3/2*p**3 = 0. What is p?
-1, 2/3, 1
Let r(t) be the second derivative of -t**6/15 + 19*t**5/60 - t**4/12 + 210*t. What is c in r(c) = 0?
0, 1/6, 3
Let z = 63946/7 - 9133. Factor -z*x + 18/7 + 3/7*x**2.
3*(x - 3)*(x - 2)/7
Let s(x) = -5*x**3 + 4*x - 45*x**2 - 21*x - 3 + 38*x + 32*x. Let p(l) = l**3 + 11*l**2 - 13*l + 1. Let w(q) = -26*p(q) - 6*s(q). Find m, given that w(m) = 0.
1, 2
Let q(c) be the second derivative of -c**6/45 - 47*c**5/90 - 29*c**4/9 + 32*c**3/9 + 128*c**2/9 + 73*c. Let q(i) = 0. Calculate i.
-8, -2/3, 1
Determine q so that -3/4*q**2 + 7/4 - 5*q = 0.
-7, 1/3
Let r = 7 - 5. Factor -4 - 8 - 8*g + 0*g**2 + 4*g**r.
4*(g - 3)*(g + 1)
Let f be -1 - -11 - (40/(-3) + 21). Solve 1/3*x**2 - 8/3 - f*x = 0 for x.
-1, 8
Let p = -42 + 30. Let a(u) = u**3 + 13*u**2 + 13*u + 14. Let y be a(p). Let 0*m**2 + m**2 + 3*m**y - 6*m**2 + 4*m = 0. What is m?
0, 2
Let u = 16421/108 + -43/54. Let g = u - 151. Let -g + 1/4*b**2 + 0*b = 0. Calculate b.
-1, 1
Let i(q) = q + 13. Let w be i(-9). Let s(l) = -l**2 - 4. Let d(o) = o**2 + 3. Let n(p) = w*d(p) + 3*s(p). What is c in n(c) = 0?
0
Let x = 168 + -158. Let h be x/(-40) - 18/(-8). Factor -1/2*f**4 + 0*f + 2*f**3 + 0 - 3/2*f**h.
-f**2*(f - 3)*(f - 1)/2
Let s be ((-19)/3)/(-13 + 12) + -5. Let -5/3*g - s - 1/3*g**2 = 0. Calculate g.
-4, -1
Let t be ((-1)/(-14))/((-52)/(-91)). Let k(g) be the second derivative of 1/12*g**3 + 0*g**2 + 1/60*g**6 + 3/40*g**5 + 7*g + 0 + t*g**4. Factor k(v).
v*(v + 1)**3/2
Let w(m) be the second derivative of -m**6/10 + 9*m**5/10 - 5*m**4/4 + 21*m. Factor w(i).
-3*i**2*(i - 5)*(i - 1)
Factor 0 + 171*j**3 + 1/6*j**5 + 55/6*j**4 + 1134*j**2 + 972*j.
j*(j + 1)*(j + 18)**3/6
Suppose n - 82 = -4*n - 4*f, 0 = 5*n - 3*f - 61. Suppose -j - c + n - 5 = 0, 2*j = 5*c - 17. Factor j*x**3 + x**2 - x**3 - 4*x**2.
3*x**2*(x - 1)
Let w be ((-5)/(-10))/((-3 + 2)/(-10)). Let n be ((-6)/w)/((-4)/10). Factor -22*q**2 - 20/3*q - 32/3*q**4 - 2/3 - 80/3*q**n.
-2*(q + 1)**2*(4*q + 1)**2/3
Let z(k) = -k**4 - k**3 + k + 1. Suppose 5*b = -35 - 55. Let d = 16 + b. Let q(x) = 2*x**5 + 4*x**4 - 2*x**3 - 4*x**2. Let o(v) = d*z(v) - q(v). Factor o(u).
-2*(u - 1)**2*(u + 1)**3
Factor 39*j**2 - 18*j**2 - 12*j**2 + 5*j - 14*j**2.
-5*j*(j - 1)
Let q(g) be the second derivative of 0*g**3 - 3/20*g**4 + 0 + 16*g + 3/100*g**5 + 6/5*g**2. Factor q(m).
3*(m - 2)**2*(m + 1)/5
Let z = 13 + -29. Let k be ((-6)/(-5))/(z/(-40)). Determine m so that 3/2*m**k + 3/2*m**2 + 0 - 3*m = 0.
-2, 0, 1
Suppose 180 + 4/5*z**3 + 204*z + 124/5*z**2 = 0. Calculate z.
-15, -1
Let w(f) = -11*f**3 - 13*f**2 + 8*f - 2. Let m(n) = 9*n**3 + 12*n**2 - 9*n + 3. Let v(l) = -6*m(l) - 5*w(l). Solve v(b) = 0 for b.
1, 2, 4
Let h(z) be the third derivative of -2/5*z**5 + 2*z**4 + 0*z + 0 - 1/10*z**7 - 28*z**2 - 1/112*z**8 + 8*z**3 - 2/5*z**6. Factor h(j).
-3*(j - 1)*(j + 2)**4
Let n(f) = f**3 - 5*f**2 + 8*f - 10. Let l be n(4). Find o, given that -35*o**2 - 40*o + 38 + 42 - l*o**3 + o**3 = 0.
-4, 1
Solve 2188/11*l**2 + 48*l**4 - 1832/11*l**3 - 1062/11*l + 164/11 + 14/11*l**5 = 0 for l.
-41, 2/7, 1
Let g(c) be the first derivative of 5*c**6/6 + 3*c**5 - 15*c**4/2 - 130*c**3/3 - 135*c**2/2 - 45*c + 189. What is b in g(b) = 0?
-3, -1, 3
Let n(i) = i**4 + i**3 + 1. Let r(s) = 5*s**4 + 16*s - 12. Let u(f) = 4*n(f) - r(f). Let u(p) = 0. Calculate p.
-2, 2
Let s be 0 + 12/(-6 + 42). Let o(c) be the third derivative of 5*c**2 + 0*c + 1/15*c**5 + 2/3*c**3 + 0 - s*c**4. Factor o(r).
4*(r - 1)**2
Factor -4/7*j**2 - 324/7 - 72/7*j.
-4*(j + 9)**2/7
Let g = 169 + -166. Suppose 4*w - 12 = -8*y + 6*y, g = w + 4*y. Find r, given that 0*r**2 + 1/2*r**4 + 1/2*r**w + 0 + 0*r = 0.
-1, 0
Suppose -a - 2*d = 0, -5 = -4*a - 4*d + 7. Suppose a = -33*t + 36*t. Factor -1/2 + 1/2*z**t + 0*z.
(z - 1)*(z + 1)/2
Let o(q) be the first derivative of -12 - 1/3*q**3 + 2*q + 1/2*q**2. Factor o(k).
-(k - 2)*(k + 1)
Let y = 79 + -74. Let i(d) be the second derivative of -d**2 - 7*d + 0 - 25/8*d**4 + 5/2*d**3 + 25/16*d**y. Solve i(a) = 0.
2/5
Let v(q) = -52*q**2 - 16*q + 72. Let r(n) = -2*n**2 - n + 3. Let a(s) = 24*r(s) - v(s). Factor a(l).
4*l*(l - 2)
Let z(n) be the second derivative of 7*n**5/100 + 13*n**4/12 + 37*n**3/15 + 8*n**2/5 + 289*n. What is y in z(y) = 0?
-8, -1, -2/7
Let r(g) be the first derivative of 22*g**3/3 - 31*g**2 - 12*g + 125. Factor r(l).
2*(l - 3)*(11*l + 2)
Let l be 40/22*(1 - 9/45). Factor -32/11 - 2/11*q**2 - l*q.
-2*(q + 4)**2/11
Suppose 40 = -5*x - 5*p, -4*x + 2*p - 7 - 1 = 0. Let l be (6/x)/((-3)/30). Suppose 22 + 3*i - 13 - l - 9*i**3 + 12*i**2 = 0. Calculate i.
-2/3, 1
Find p, given that -15/4 + 15/4*p**2 - 5/4*p**3 + 5/4*p = 0.
-1, 1, 3
Let a(h) be the third derivative of -h**8/840 + 43*h**6/300 - 19*h**5/75 - 8*h**4 + 160*h**3/3 - 543*h**2. Let a(d) = 0. What is d?
-5, 2, 4
Find y, given that -32 - 3504*y**2 - 1058*y**4 + 614*y - 4048*y**3 + 153*y - 63*y = 0.
-2, 2/23
Let f = 114/25 - 1229/275. Solve 0 - 24/11*c**3 + 32/11*c**2 + 8/11*c**4 - f*c**5 - 16/11*c = 0.
0, 2
Let z be 170/51*(-6)/(-4). Factor g**2 + 2*g + z*g**2 + 4*g**2 - 6*g**2 + 2*g**3.
2*g*(g + 1)**2
Let g(z) be the third derivative of z**7/105 - 3*z**5/10 - 42*z**2. Find h, given that g(h) = 0.
-3, 0, 3
Let p(k) be the first derivative of -k**6/360 - 3*k**3 - 10. Let s(r) be the third derivative of p(r). Factor s(c).
-c**2
Suppose 21 + 1/2*y**3 - 31/2*y - 6*y**2 = 0. What is y?
-3, 1, 14
Let p(t) be the first derivative of -3*t**5/5 - 9*t**4/4 - t**3 + 9*t**2/2 + 6*t - 24. Determine i, given that p(i) = 0.
-2, -1, 1
Let x be ((-3)/18)/((-4)/(-18))*-4. Let v(n) be the third derivative of 1/36*n**4 + 0*n**x + 0 + n**2 + 1/90*n**5 + 0*n. Determine l so that v(l) = 0.
-1, 0
Let x(f) = -f**2 + f - 1. Let k(s) = -3*s**2 + 8*s. Suppose 5*q = 2*q + 6. Let d be ((-12)/q)/(1/(-2)). Let n(v) = d*x(v) - 3*k(v). Factor n(r).
-3*(r + 2)**2
Let s(y) be the first derivative of -y**5/12 + 5*y**4/24 + 5*y**3 - 8*y**2 - 4. Let j(d) be the second derivative of s(d). Factor j(z).
-5*(z - 3)*(z + 2)
Let i(w) be the second derivative of -w**4/84 + 37*w**3/42 + 927*w. Factor i(f).
-f*(f - 37)/7
Let a(p) be the second derivative of -2*p + 0*p**3 + 1/16*p**4 + 1/2*p**2 + 0 - 1/120*p**5. Let m(t) be the first derivative of a(t). Factor m(d).
-d*(d - 3)/2
Suppose -t - 3*g = 0, 2*g = -t + 4*g + 10. Suppose 20*x**4 + 56*x**2 - 46*x**2 - t*x**5 - 25*x**3 + x**5 = 0. What is x?
0, 1, 2
Let h(t) = 7*t**4 - 13*t**3 - 19*t**2 + 133*t - 1