- 1/90*u**5 + 0 + 0*u. Factor f(d).
-2*(d - 1)*(d + 1)/3
Let g = -74 + 79. Suppose 0 = g*z - 3*s - 37, z - 2*s - 2*s = 21. Suppose 1/5*i**4 + 0*i + 0*i**3 + 0 + 1/5*i**z + 0*i**2 = 0. What is i?
-1, 0
Let m(p) be the third derivative of p**8/504 - p**6/60 - p**5/45 + 19*p**2 + 5*p. Factor m(j).
2*j**2*(j - 2)*(j + 1)**2/3
Let p(l) = -l**2 + 27*l + 31. Let s be p(28). Factor 2/17*h**s + 10/17*h**2 + 16/17*h + 8/17.
2*(h + 1)*(h + 2)**2/17
Let t = -45 - -51. Let i(b) be the third derivative of 0*b - 1/10*b**5 - 3*b**2 + 0 - 1/3*b**3 - 1/60*b**t - 1/4*b**4. Factor i(s).
-2*(s + 1)**3
Let c(q) be the first derivative of 15/2*q**2 - 9*q - 36 - 7/3*q**3 + 1/4*q**4. Factor c(s).
(s - 3)**2*(s - 1)
Let k(v) be the first derivative of -v**4/5 - 236*v**3/15 + 242*v**2/5 - 244*v/5 - 123. Suppose k(j) = 0. Calculate j.
-61, 1
Let i be 24/(-30)*5/(-2). Let n be 9/i*20/15. Find s, given that 20 - 3*s**2 - 20 + n*s = 0.
0, 2
Let n(i) be the first derivative of 3*i**5/20 - 3*i**4/8 + i**3/4 + 24. What is s in n(s) = 0?
0, 1
Let u(r) = -7*r**3 - 2*r**2 - 4. Let o(s) = s**3 - s**2 + 1. Let l be (-2 - -1)/(1/(-4)). Let t(p) = l*o(p) + u(p). Let t(n) = 0. Calculate n.
-2, 0
Factor -125/3 + 1/3*h**3 - 5*h**2 + 25*h.
(h - 5)**3/3
Let s(i) be the third derivative of i**6/480 + i**5/24 + 11*i**4/32 + 3*i**3/2 - i**2 + 363. Suppose s(x) = 0. Calculate x.
-4, -3
Suppose 11*i = -2*i + 65. Let q(w) be the third derivative of 1/6*w**3 - 1/180*w**i + 0 - w**2 + 0*w - 1/36*w**4. Factor q(x).
-(x - 1)*(x + 3)/3
Let f = 71 + -68. Let 90*q**4 + 27*q**f + 20 - 86*q**2 - 12*q**3 - 9*q**2 = 0. Calculate q.
-1, -1/2, 2/3
Let o = -122 - -124. Suppose 5*w = 3*d, -6*d + d = 2*w - 31. Factor -3*l - l**4 + w*l**o - 3*l**2 + 3*l**2 + 3*l**3 - 2*l**4.
-3*l*(l - 1)**2*(l + 1)
Suppose -18*i - 40*i = -19*i. Let s(t) be the first derivative of 7 + i*t - 12*t**4 + 3*t**6 + 0*t**5 - 128/9*t**3 - 16/3*t**2. Factor s(o).
2*o*(o - 2)*(3*o + 2)**3/3
Let j(c) be the third derivative of c**9/22680 + c**8/10080 - c**7/1890 + 13*c**4/12 - 25*c**2. Let l(t) be the second derivative of j(t). Factor l(i).
2*i**2*(i - 1)*(i + 2)/3
Let j = -1357 + 1357. Let z(k) be the third derivative of 0 + 0*k**3 - 1/120*k**6 - 1/210*k**7 + 0*k + 7*k**2 + j*k**4 + 1/30*k**5. Factor z(n).
-n**2*(n - 1)*(n + 2)
Let l(u) = 8*u**3 - 4*u**2. Let h(y) = 104*y**2 - 4*y - 8*y**3 - 100*y**2 + y**4 + 4*y. Let d(s) = -4*h(s) - 3*l(s). Factor d(n).
-4*n**2*(n - 1)**2
Let i be 3/2*(-1504)/(-423). Let 4/3*k**2 + 16/3 - i*k = 0. Calculate k.
2
Solve -9*y**3 + 17/2*y**2 + 7/2*y**4 + 0 - 11/4*y - 1/4*y**5 = 0.
0, 1, 11
Let r(a) be the second derivative of a**5/240 + a**4/24 + a**3/8 + 11*a**2/2 - 4*a. Let d(k) be the first derivative of r(k). Factor d(f).
(f + 1)*(f + 3)/4
Let a = -13 + 9. Let l be (-9)/(-12) + (-9)/a. What is y in -y**l + 2*y**2 + 0*y**2 + 46*y - 47*y = 0?
0, 1
Let l = 46097/67 - 688. Let o = l - -62/335. Factor 2/5*x**4 + o*x + 0 - 1/5*x**3 - 2/5*x**2.
x*(x - 1)*(x + 1)*(2*x - 1)/5
Let d(b) = 2*b**2 - 36*b + 160. Let p be d(8). Factor -2/9*s**2 + 2/9*s - 2/9*s**3 + 2/9*s**4 + p.
2*s*(s - 1)**2*(s + 1)/9
Suppose -4*g + 17 + 3 = 0. Let t be ((-72)/10)/(-2) - (-2)/g. Suppose 3*z**2 + 4*z**3 + 2/3*z + 5/3*z**t + 0 = 0. Calculate z.
-1, -2/5, 0
Let s(h) = -4*h**2 - 336*h - 7044. Let l(a) = -1. Let k(r) = -12*l(r) - s(r). Factor k(z).
4*(z + 42)**2
Let c(y) be the second derivative of -y**8/33600 + y**7/6300 + y**6/3600 - y**5/300 + 25*y**4/12 - 7*y. Let z(f) be the third derivative of c(f). Factor z(k).
-(k - 2)*(k - 1)*(k + 1)/5
Let w(f) = 2*f**2 + f - 1. Let z(q) = 6*q**2 + 85*q - 405. Let r(x) = 5*w(x) - z(x). Factor r(h).
4*(h - 10)**2
Suppose -24 - 6 = -6*b. Let s be 6*(4/(-80))/((-2)/b). Solve 3/4 - s*z**2 + 3/4*z - 3/4*z**3 = 0.
-1, 1
Factor -2/11*s**2 + 0 - 14/11*s.
-2*s*(s + 7)/11
Let m(d) be the first derivative of d**7/1680 - d**5/80 - d**4/24 - 31*d**3/3 + 20. Let k(x) be the third derivative of m(x). Let k(v) = 0. What is v?
-1, 2
Let s = 2/3773 - -60358/18865. What is n in 0*n - 4/5*n**2 + s = 0?
-2, 2
Let x = -10 - -24. Determine n so that 3 + 5*n**2 - 1 - x*n + 19*n - 2*n**2 = 0.
-1, -2/3
Let d = 35/177 + 1861/236. Let u = d + -31/4. Suppose 1/3*x**3 + u*x**4 - 1/3*x**2 - 1/3*x + 0 = 0. What is x?
-1, 0, 1
Let v = 43 + -41. Let 7*l**2 + 16*l - 4*l**3 + 9*l**v + 8*l**3 = 0. What is l?
-2, 0
Let v(c) = -2*c**3 + 12*c**2 + 7*c + 5. Let s(i) = 5*i**3 + 11*i**3 - 32*i**3 - i + 15*i**3 + 1. Let u(k) = -5*s(k) + v(k). Factor u(m).
3*m*(m + 2)**2
Factor -80/3 - 5/3*x**2 - 85/3*x.
-5*(x + 1)*(x + 16)/3
Factor 6 - 11/4*p**3 + 1/4*p**4 - 13*p + 19/2*p**2.
(p - 6)*(p - 2)**2*(p - 1)/4
Let k(c) = -c**2 + 8*c + 22. Let a be k(10). Suppose -7*d = a - 16. Suppose 0 - 2/7*h**3 - 2/7*h**d + 2/7*h**4 + 2/7*h = 0. Calculate h.
-1, 0, 1
Let q = 8 - 5. Suppose i - q*i = -6. Let 2*b + 2*b**5 - 6*b**3 - 3 + 3 + 2*b**i - 2*b**4 - 2 + 4*b**2 = 0. What is b?
-1, 1
Let a(y) be the first derivative of y**3/3 - 2*y**2 - 12*y + 62. Solve a(n) = 0 for n.
-2, 6
Let s be (4 + -1 + 2)/1. Let f be 2/8 - 285/(-12). Suppose -f*x**4 - 18*x**5 + 7*x**3 + 4*x + 0*x + 5*x + 2*x**s + 23*x**2 + 1 = 0. Calculate x.
-1, -1/4, 1
Let r(l) = 4*l**3 + 72*l**2 + 12*l - 12. Let o(k) = k**2 + k - 1. Let g(d) = -12*o(d) + r(d). Find j, given that g(j) = 0.
-15, 0
Let p(k) be the second derivative of k**4/2 - 16*k**3/3 - 12*k**2 - 214*k. Suppose p(z) = 0. Calculate z.
-2/3, 6
Let p(x) be the third derivative of x**6/24 - 3*x**5/4 + 5*x**4/3 - 82*x**2. Suppose p(r) = 0. Calculate r.
0, 1, 8
Let o(t) = t**3 - t**2 + 7. Let d(g) = g**3 - 2*g**2 - g + 8. Let r = 6 + -2. Suppose -r = -2*a + 6. Let k(x) = a*d(x) - 6*o(x). Factor k(u).
-(u + 1)**2*(u + 2)
Suppose u = 5*u - 12, -i + 20 = 5*u. Factor -i*c**2 + 0 + 20*c + 2 - 2.
-5*c*(c - 4)
Let d(p) be the third derivative of -p**5/210 - 41*p**4/21 - 6724*p**3/21 - 766*p**2. What is j in d(j) = 0?
-82
Let z(q) be the first derivative of 5*q**3/3 + 655*q**2/2 + 650*q + 248. Factor z(v).
5*(v + 1)*(v + 130)
Suppose 12 = 3*w - 6. Let r(m) be the first derivative of m**3 + 15*m + 5 - m - 2*m + w*m**2. Solve r(p) = 0 for p.
-2
Let o(s) be the third derivative of -1/480*s**6 + 13*s**2 + 0*s**3 + 1/120*s**5 + 0*s + 0*s**4 + 0. Suppose o(u) = 0. What is u?
0, 2
Let v(g) = 17*g**2 + 70*g + 210. Let a(s) = -8*s**2 - 36*s - 104. Let h(i) = 9*a(i) + 4*v(i). Solve h(d) = 0.
-8, -3
Let a = 3 + 13. Suppose a = -6*b + 10*b. Let -27*s + 2*s**2 - 2 + 31*s - b*s**2 = 0. What is s?
1
Let w(o) = 7*o**4 - 27*o**3 + 198*o**2 - 169*o + 3. Let y(m) = -12*m**4 + 54*m**3 - 395*m**2 + 338*m - 5. Let i(x) = -5*w(x) - 3*y(x). Factor i(l).
l*(l - 13)**2*(l - 1)
Let a(z) be the third derivative of z**8/84 - 8*z**7/105 - 11*z**6/30 - 2*z**5/5 - 40*z**2 - 2. Determine p, given that a(p) = 0.
-1, 0, 6
Let n = 14 - 19. Let t = n - -5. Determine p, given that -p**5 - 2*p**4 - p**5 + t*p**4 = 0.
-1, 0
Let j(v) = v**2 - 12*v - 9. Let z be j(13). Let n be (7/21)/((-3)/(-9)*z). Let -1/4*x**3 + 0*x**2 + 0*x + n*x**4 + 0 = 0. Calculate x.
0, 1
Let w(q) be the third derivative of q**7/350 + 3*q**6/100 - 6*q**5/25 - 28*q**4/5 - 192*q**3/5 - 71*q**2 + q. Determine h, given that w(h) = 0.
-4, 6
Let g(t) be the third derivative of -1/10*t**5 + 1/60*t**6 - 19*t**2 + 1/4*t**4 - 1/3*t**3 + 0 + 0*t. Determine i, given that g(i) = 0.
1
Let x(p) = -9*p**3 - 138*p**2 - 40*p + 80. Let s be x(-15). Solve 1/6*b**s + 0*b**4 + 1/2*b - 1/3 + 1/3*b**2 - 2/3*b**3 = 0 for b.
-2, -1, 1
Let l(g) = -g**3 - 20*g**2 - 21*g - 36. Let m be l(-19). What is j in 2/5*j**m + 1/5*j - 1/5*j**3 - 2/5 = 0?
-1, 1, 2
Factor -5/4*v - 1/2*v**4 + 43/8*v**2 - 11/8*v**3 + 0.
-v*(v - 2)*(v + 5)*(4*v - 1)/8
Let a(h) = -h**3 - 9*h**2 - 3*h - 3. Let c be a(-9). Suppose -23*f + 15*f + c = 0. Find l, given that -1/2*l**f + 0 + 0*l + 1/3*l**2 + 1/6*l**4 = 0.
0, 1, 2
Let j be (-75)/7 + (-4)/14. Let d(n) = -n - 9. Let r be d(j). Solve 5*q**2 - 4*q**2 + q**r - 2*q**4 - q - q**5 + 2*q**5 = 0 for q.
-1, 0, 1
Let j(b) be the second derivative of -2*b**7/21 + b**6/5 - b**5/80 - b**4/8 - b**3/24 - 3*b - 12. Factor j(c).
-c*(c - 1)**2*(4*c + 1)**2/4
Let w = 75/41 + -6334/123. Let l = 51 + w. Factor l - 4/3*i**2 + 0*i.
-4*(i - 1)*(i + 1)/3
Let q(r) be the third derivative of r**8/672 - r**7/84 + r**6/80 + r**5/24 - 