tor j(u).
-u*(u - 1)**3*(u + 1)/4
Let h(w) = -7*w**3 - 35*w**2 + 47*w - 49. Let s(v) = 4*v**3 + 18*v**2 - 24*v + 26. Let a(c) = 6*h(c) + 11*s(c). Solve a(i) = 0.
1, 4
Factor 2/5*x**2 + 356/5*x + 0.
2*x*(x + 178)/5
Let x(v) be the first derivative of v**4/8 + 13*v**3/12 + 17*v**2/8 - 3*v - 102. Solve x(n) = 0.
-4, -3, 1/2
Let g(x) = -x**2 - 1078*x - 10678. Let v be g(-10). Let 4/7 + 2/7*k - 2/7*k**v = 0. What is k?
-1, 2
Determine c so that -2/9*c**4 - 8/3 + 26/9*c**2 + 2/9*c - 2/9*c**3 = 0.
-4, -1, 1, 3
Let d = -161 - -160. Let u = d + 7/5. What is i in 4/5 + u*i**2 - 6/5*i = 0?
1, 2
Let q(l) be the second derivative of l**4/90 - 4*l**3/9 - 44*l**2/15 + 312*l. Factor q(w).
2*(w - 22)*(w + 2)/15
Factor -2/13*h**3 - 64/13*h - 20/13*h**2 - 64/13.
-2*(h + 2)*(h + 4)**2/13
Let r = 1306/825 - -4/75. Suppose 2*a = 2*d, 13*d + 8 = 15*d. Suppose 2/11*j - r*j**a + 6/11*j**3 + 10/11*j**2 + 0 = 0. Calculate j.
-1/3, 0, 1
Let n = -19235 + 19240. Determine s, given that -18/19*s**n + 0 + 2/19*s + 12/19*s**2 + 16/19*s**3 - 12/19*s**4 = 0.
-1, -1/3, 0, 1
Let d(l) be the first derivative of 22*l**3 + 4*l**2 - 24*l + 78. Solve d(q) = 0 for q.
-2/3, 6/11
Let b = 6105 + -67083/11. Solve b - 24/11*h + 2/11*h**2 = 0 for h.
6
Factor -276*h + 84*h - h**2 + h**2 + 0*h**2 - 4*h**2.
-4*h*(h + 48)
Factor -4/3*a**5 - 4*a**4 - 8/3*a**3 + 0*a**2 + 0 + 0*a.
-4*a**3*(a + 1)*(a + 2)/3
Let q(f) = f**3 + 37*f**2 - 122*f - 74. Let p be q(-40). Factor p + b**3 - 16/3*b**2 + 5*b.
(b - 3)**2*(3*b + 2)/3
Let y = -407 + 413. Let z(i) be the first derivative of 4/13*i**2 - y - 2/13*i - 2/65*i**5 + 2/13*i**4 - 4/13*i**3. Factor z(s).
-2*(s - 1)**4/13
Factor 32/23*x**3 + 14/23*x**4 + 0 + 8/23*x**2 + 0*x.
2*x**2*(x + 2)*(7*x + 2)/23
Let p(j) = -j**2 + 171*j - 154. Let c(x) = -7*x - 1. Let k(d) = 6*c(d) + 3*p(d). What is b in k(b) = 0?
1, 156
Let q(p) = -108*p - 13. Let c be q(-3). Let j = -307 + c. Factor 0 + 4/3*m - 3*m**3 + 7/3*m**4 - j*m**2.
m*(m - 2)*(m + 1)*(7*m - 2)/3
Let k(a) = -3*a**2 + 217*a - 186. Let s(b) = b**2 - 72*b + 63. Let v(q) = -6*k(q) - 21*s(q). Factor v(l).
-3*(l - 69)*(l - 1)
What is j in -2/3*j**5 - 28/3*j**2 + 16/3*j**4 - 10/3*j**3 + 0 + 0*j = 0?
-1, 0, 2, 7
Solve t**4 + 79/8*t**3 - 65/4*t**2 + 2*t + 4 - 5/8*t**5 = 0.
-4, -2/5, 1, 4
Let s(g) be the third derivative of g**5/270 + 185*g**4/54 + 34225*g**3/27 + 332*g**2. Factor s(m).
2*(m + 185)**2/9
Let k(o) be the first derivative of o**6/2 + 7*o**5/5 - 4*o**3/3 - 173. Factor k(m).
m**2*(m + 1)*(m + 2)*(3*m - 2)
Let t = -14 - -21. Let v be 3/(-12)*2*-6. Factor -v*s**2 + 31*s - 19 + t - 19*s.
-3*(s - 2)**2
Let n(a) be the second derivative of -a**9/3024 + a**8/672 - a**7/504 - a**4/6 - 2*a**3 - 34*a. Let g(u) be the third derivative of n(u). Factor g(y).
-5*y**2*(y - 1)**2
Let g(z) be the first derivative of 3*z**5/5 + 21*z**4/2 - 60*z**3 - 237*z**2 - 255*z - 704. Factor g(w).
3*(w - 5)*(w + 1)**2*(w + 17)
Suppose 30 = 55*x - 50*x. Let p(c) be the second derivative of -1/90*c**x - 6*c + 0 + 1/36*c**4 + 1/60*c**5 + 0*c**3 - 1/126*c**7 + 0*c**2. Factor p(a).
-a**2*(a - 1)*(a + 1)**2/3
Let u = -5396 + 5398. Determine l so that -4*l**u + 52/7*l - 4/7*l**3 + 4/7*l**4 - 24/7 = 0.
-3, 1, 2
Let h(j) be the third derivative of 0*j**5 - 5*j + 7/36*j**4 + 0 + 2/3*j**3 + 2*j**2 - 1/180*j**6. Suppose h(d) = 0. What is d?
-2, -1, 3
Suppose -2*o + 5*p = -7 + 16, 3*o - 5*p + 6 = 0. Let w = -67 - -336/5. Factor 3/5*t**2 + 2/5*t + 0 + w*t**o.
t*(t + 1)*(t + 2)/5
Let x(a) = -3*a**2 - 18*a + 4. Let g be x(-6). Let f(z) be the third derivative of 0 - 1/3*z**g - 3/10*z**6 - 11/15*z**5 + 0*z + 10*z**2 + 0*z**3. Factor f(d).
-4*d*(d + 1)*(9*d + 2)
Let u(w) = w**2 - w - 1. Let q(k) = -6*k**2 - 6*k + 10. Let f(t) = -q(t) - 10*u(t). Factor f(c).
-4*c*(c - 4)
Let w(v) = v**3 + 9*v**2 - 11*v - 5. Let q be w(-10). Suppose q*s - 28 = -3. Determine z so that -1/6*z**s + 1/3*z**2 - 1/2*z**4 + 1/2*z - 1/3*z**3 + 1/6 = 0.
-1, 1
Let o = -64/21 + 26/7. Suppose -3*p - 3*c = 0, -4*p + 2*p - c = -3. What is r in -o*r**4 - 2/3*r**2 - 1/6*r**5 - 1/6*r - r**p + 0 = 0?
-1, 0
Let n(q) = -q**2 + 16*q + 4. Let k be n(16). Let v = 6/649 + 9056/3245. Let 22/15*j + 34/15*j**3 - 2/3*j**k - v*j**2 - 4/15 = 0. What is j?
2/5, 1
Let t(a) be the second derivative of a**6/720 - a**5/80 + a**4/24 + 2*a**3/3 - 7*a. Let v(g) be the second derivative of t(g). Factor v(k).
(k - 2)*(k - 1)/2
Factor -6 + 2*w**3 - 3556*w + 3549*w - w**3.
(w - 3)*(w + 1)*(w + 2)
Let t(q) be the first derivative of 3*q**7/560 - q**6/360 - 3*q**5/80 + q**4/24 - q**3/3 - 7. Let b(p) be the third derivative of t(p). What is a in b(a) = 0?
-1, 2/9, 1
Let s(j) be the first derivative of 3*j**4/4 - 39*j**2/2 - 36*j - 73. Solve s(i) = 0 for i.
-3, -1, 4
Let m be (9/(-5))/(-3)*(-65)/442. Let v = 10/17 + m. Factor -1/2*n**4 + 0*n + v*n**2 + 0*n**3 + 0.
-n**2*(n - 1)*(n + 1)/2
Let q(n) be the third derivative of 89*n**5/15 - 15*n**4 + 2*n**3/3 - 343*n**2. Let q(v) = 0. What is v?
1/89, 1
Suppose -7*u - 30 = -10*u. Let z be (8/(-7))/(u/(-7)). Factor -2/5*v - 2/5*v**3 + 0 + z*v**2.
-2*v*(v - 1)**2/5
Let q be (-8)/(-30)*6/48*7. Let u(b) be the second derivative of -q*b**5 - 5/9*b**3 - 2/45*b**6 - 1/2*b**4 - 1/3*b**2 + 0 - 3*b. Solve u(i) = 0.
-1, -1/2
Let 0 + 81*v + 87/2*v**2 + 3/2*v**3 = 0. Calculate v.
-27, -2, 0
Let g(n) be the first derivative of 0*n - 13/30*n**5 + 1/3*n**4 + 2*n**3 + 11/90*n**6 + 0*n**2 - 7. Let z(y) be the third derivative of g(y). Factor z(t).
4*(t - 1)*(11*t - 2)
Let f be 4/16*-9*8. Let w be ((-6)/f)/(1/9). Solve -2/7 - 2/7*y**4 + 4/7*y**2 + 0*y**w + 0*y = 0.
-1, 1
Let y(p) = p**4 + 2*p**2 - 3*p + 3. Let m(h) be the first derivative of -h**5/5 - h**4/4 + h**3/3 - h**2/2 + h + 15. Let b(u) = 3*m(u) - y(u). Factor b(x).
-x**2*(x + 1)*(4*x - 1)
Let h(f) be the first derivative of 0*f**3 + 4/5*f**5 - 15 + 0*f + 3*f**4 - 8*f**2. Factor h(n).
4*n*(n - 1)*(n + 2)**2
Suppose 0 = -4*i - q + 10, q - 12 = -9*i + 4*i. Factor -36*v**i - 4*v**4 - v**4 + 41*v**2.
-5*v**2*(v - 1)*(v + 1)
Let -2/7*a**4 + 8/7 + 6/7*a**2 - 16/7*a + 4/7*a**3 = 0. What is a?
-2, 1, 2
Let j(f) = f**2 - f - 9. Let k be j(4). Suppose 0 = 3*v - 5*w + 6 - 0, -2*w - 3 = -k*v. Suppose -h**v - 8*h - h**3 - 6 + 6*h**3 + 2*h**2 = 0. What is h?
-1, 3/2
Let t be ((-14)/(-28))/(2/8). Let -3/2*x**t + 3*x + 9/2 = 0. What is x?
-1, 3
Factor 83*r**5 + 0*r**2 + 12*r**3 - 6*r**2 - 14*r + 12*r**4 - 6 - 80*r**5 - r.
3*(r - 1)*(r + 1)**3*(r + 2)
Suppose -s - 64 = -68. Factor -14*h**2 - 8*h - 65*h**4 - s*h + 61*h**4 + 18*h**3.
-2*h*(h - 3)*(h - 2)*(2*h + 1)
Let s(z) be the third derivative of -7*z**5/30 - 13*z**4/12 - 2*z**3 - 26*z**2. Factor s(i).
-2*(i + 1)*(7*i + 6)
Let s(u) be the first derivative of -3*u**5/25 + 3*u**4/10 + u**3/5 - 3*u**2/5 + 1. Factor s(p).
-3*p*(p - 2)*(p - 1)*(p + 1)/5
Let h(d) be the second derivative of -d**6/40 - 15*d**5/8 - 97*d**4/16 - 6*d**3 - 46*d + 9. Factor h(g).
-3*g*(g + 1)**2*(g + 48)/4
Let 7 + 3*t**2 - 12*t - 15 + 2 + 18 = 0. What is t?
2
Let o(x) be the second derivative of 1/60*x**5 + 0 - 1/2*x**2 + 1/2*x**3 + 11*x - 1/6*x**4. Let v(r) be the first derivative of o(r). Factor v(n).
(n - 3)*(n - 1)
Solve 160*l + 36*l**4 + 486*l**2 + 72*l**3 + 1192*l + 1215 - 56*l - 33*l**4 = 0 for l.
-15, -3
Let m(w) be the third derivative of w**6/30 + 37*w**5/60 + 65*w**4/24 + 7*w**3/3 + 80*w**2. Factor m(s).
(s + 2)*(s + 7)*(4*s + 1)
Solve 37/2*f**3 - 30*f**2 + 1/2*f**5 - 5*f**4 + 0 + 18*f = 0.
0, 2, 3
Factor -60*h + 0*h**2 - 103*h + h**2 + 3481 + 45*h.
(h - 59)**2
What is i in 4*i**5 + 229*i**4 + 10*i**3 + i**5 - 214*i**4 = 0?
-2, -1, 0
Suppose 175*y**3 + 0*y**4 - 28*y + 46*y**2 - 48 + 199*y**3 + 2*y**4 - 346*y**3 = 0. Calculate y.
-12, -2, -1, 1
Let h(x) = -2*x**2 + 21*x - 7. Let m be h(10). Factor u**m - 3*u + 3*u**3 + u - 7*u**2.
u*(u - 2)*(4*u + 1)
Suppose 0*t + 2*t - 5*l = 283, -2*t = -2*l - 274. Let 2 - 2*y + 132*y**2 + 0 + 2*y**3 - t*y**2 = 0. What is y?
-1, 1
Let k(i) be the third derivative of i**6/960 - 3*i**5/320 + 10*i**3/3 - 19*i**2. Let b(d) be the first derivative of k(d). Factor b(u).
3*u*(u - 3)/8
Let k(f) be the third derivative of f**5/180 - f**4/18 - 5*f**3/18 - f**2 + 2*f. Factor k(q).
(q - 5)*(q + 1)/3
Factor 438*n**3 + 14*n**4 + 230*n**2 - 27*n**4 + 23*n**4 + 27*n**3.
5*n**2*(n + 46)*(2*n + 1)