0*u. Let w(h) = -h**2 - h. Let g(x) = -j(x) - 3*w(x). Determine p, given that g(p) = 0.
-3, 0, 7
Let a = 113963/277620 - -50/1983. Let h = -1/28 + a. Let 0*g + 2/5*g**2 - h = 0. What is g?
-1, 1
Determine k so that 11/2*k + 0 - 1/2*k**2 = 0.
0, 11
Let k(y) = -11*y**3 + 212*y**2 + 6. Let s(i) = -65*i**3 + 1270*i**2 + 35. Let w(j) = -35*k(j) + 6*s(j). Solve w(m) = 0.
0, 40
Factor 2/3*v**2 + 2/3*v**3 + 0 - 40/3*v.
2*v*(v - 4)*(v + 5)/3
Solve 2/7*v**3 - 6/7*v + 4/7 + 0*v**2 = 0 for v.
-2, 1
Let 1/3*t**4 + 1/6*t - 2/3*t**2 - 1/3*t**3 + 1/3 + 1/6*t**5 = 0. Calculate t.
-2, -1, 1
Suppose 5*u = -0*u - 20, 0 = 5*t - u - 29. Suppose 5 + 9 = 2*r + t*s, 3*r = 3*s. Factor -2/7*w**r + 4/7*w + 0.
-2*w*(w - 2)/7
Let b be (-2 - 0) + 511/(-21). Let u = b - -27. Factor -u*l**3 + 2/3*l - 4/3*l**2 + 4/3.
-2*(l - 1)*(l + 1)*(l + 2)/3
Let u(d) be the second derivative of 15*d + 1/60*d**5 + 1/72*d**4 + 0*d**3 + 0*d**2 + 1/180*d**6 + 0. Find c, given that u(c) = 0.
-1, 0
Let l(j) = 5*j**2 + 19*j + 26. Let k(n) = n + 1. Let p(t) = 5*t + 3. Let f(c) = -4*k(c) + p(c). Let r(u) = -6*f(u) - l(u). Solve r(z) = 0 for z.
-4, -1
Let n = 2952 - 44278/15. Let i(d) = -d - 6. Let x be i(-6). Factor n*j + 2/15*j**2 + x.
2*j*(j + 1)/15
Let s(l) be the third derivative of -l**8/896 - l**7/140 + l**6/160 + l**5/20 - l**4/64 - l**3/4 - l**2 + 60. Let s(c) = 0. Calculate c.
-4, -1, 1
Let h be 2 + -4 - (500 - 0)/(-2). Factor 2*s**2 - h + 246 + 3*s**2 - 3*s**2.
2*(s - 1)*(s + 1)
Factor 2/5*g**2 + 4/5*g + 0.
2*g*(g + 2)/5
Let s(k) be the second derivative of k**7/5040 - k**5/720 - 17*k**3/6 - 13*k. Let z(p) be the second derivative of s(p). Let z(q) = 0. Calculate q.
-1, 0, 1
Let t be (1/(-126))/(30/(-12)). Let x(p) be the third derivative of 0*p + 0 + 1/30*p**5 - 1/36*p**4 + t*p**7 - 1/60*p**6 + 0*p**3 - 5*p**2. Factor x(d).
2*d*(d - 1)**3/3
Let h be 72/(-45)*((-76)/8 + 7). Factor -6/11*y**3 + 2/11*y**5 + 0 - 4/11*y**h + 0*y + 0*y**2.
2*y**3*(y - 3)*(y + 1)/11
Let g = 703 - 698. Let y(n) be the second derivative of 0*n**2 - 1/12*n**4 + 0 + 1/12*n**3 + 1/30*n**6 + 0*n**g + n - 1/84*n**7. Factor y(u).
-u*(u - 1)**3*(u + 1)/2
Suppose 2/3*w**2 - 62 + 56/3*w = 0. Calculate w.
-31, 3
Let n(i) be the second derivative of 1/50*i**5 + 1/6*i**4 + 1/5*i**3 + 8*i + 0 - 9/5*i**2. Factor n(b).
2*(b - 1)*(b + 3)**2/5
Suppose -b - p - 9 = 0, -3*p = 3*b - 5*p + 12. Let w be (-4)/(-3)*b/(-4). Find n such that n**5 - n - w*n + 2*n**2 - 2*n**4 + 2*n = 0.
-1, 0, 1
Let u(c) = 2*c**2 - 12*c + 18. Let o be u(4). Suppose 2*l + 2*k = 30, 4*k - 7 - 13 = -2*l. Factor -3*d**4 + 18*d**2 - 2*d**3 - l*d**2 + 5*d**4 + o*d**5.
2*d**2*(d - 1)*(d + 1)**2
Let g(q) = 20*q**2 - 24*q - 38. Let i(f) = 7*f**2 - 9*f - 13. Let k(p) = -5*g(p) + 14*i(p). Suppose k(a) = 0. What is a?
-4, 1
Let k(o) = -o**2 - 7*o - 5. Let t be k(-5). Let y(z) = z**3 - 6*z**2 + 8*z - 6. Let q be y(t). Factor 5*c + c - c - q*c**2 + c.
-3*c*(3*c - 2)
Let u be 7/6 + 12/(-12). Let g(v) be the first derivative of -1/4*v**4 + 1/2*v**2 - 2 - 1/10*v**5 + 0*v + u*v**3. Factor g(c).
-c*(c - 1)*(c + 1)*(c + 2)/2
Factor -5*n + 50*n + n**2 + 27*n + 4*n**2 + 55 - n**3 - 11*n.
-(n - 11)*(n + 1)*(n + 5)
Let s = -67 - -40. Let n = s - -29. Factor 5*t**2 - t**4 - t + 4*t + 4*t**4 + 9*t**3 + 4*t**n.
3*t*(t + 1)**3
Let n(i) be the second derivative of 0 + 0*i**4 + 0*i**2 - 1/10*i**5 + 20*i + 1/3*i**3. Solve n(y) = 0 for y.
-1, 0, 1
Let x(b) = b**3 - b. Let i(y) = -2*y**4 - 2*y**3 - 6*y**2 + 10*y. Let p(u) = i(u) + 10*x(u). Factor p(j).
-2*j**2*(j - 3)*(j - 1)
Suppose 8 = 33*h - 29*h. Suppose -16*m + m**3 - 14*m**2 - h*m**2 - 4*m**3 - m**3 = 0. Calculate m.
-2, 0
Let g(d) be the first derivative of 5*d**7/42 + d**6/6 - d**5/4 - 5*d**4/12 - d + 19. Let m(y) be the first derivative of g(y). Factor m(t).
5*t**2*(t - 1)*(t + 1)**2
Factor 0 + 0*s + 0*s**2 + 6/5*s**4 + 9/5*s**3 - 3/5*s**5.
-3*s**3*(s - 3)*(s + 1)/5
Let m be (-6)/26 - (2 - 27/12). Let l = 419/156 - m. Determine g so that 0*g + 0 + 2/3*g**5 + 10/3*g**3 + 4/3*g**2 + l*g**4 = 0.
-2, -1, 0
Factor -63/5*s + 66/5 - 3/5*s**2.
-3*(s - 1)*(s + 22)/5
Factor -36*h**2 + 16 + 4 + 32*h**2 - h**2.
-5*(h - 2)*(h + 2)
Let x(j) be the third derivative of 31*j**5/360 + 91*j**4/144 - j**3/6 + 145*j**2. Determine g, given that x(g) = 0.
-3, 2/31
Let h(t) be the third derivative of 8*t**7/105 + 13*t**6/15 - 21*t**5/20 - 25*t**4/12 - 7*t**3/6 - 111*t**2. Find p, given that h(p) = 0.
-7, -1/4, 1
Suppose 81 = 5*w + 21. Let n = 14 - w. Determine b so that 2*b**4 + 29*b**3 - 2*b**n - 31*b**3 + b + b = 0.
-1, 0, 1
Factor -5*o**4 + 655*o + 205*o**3 + 289 + 645*o**2 - 52 - 17.
-5*(o - 44)*(o + 1)**3
Let x(i) = -3*i**3 + 54*i**2 - 76*i - 4. Let v(t) = -2*t**3 + 56*t**2 - 74*t - 6. Let k(f) = 2*v(f) - 3*x(f). Suppose k(p) = 0. Calculate p.
0, 2, 8
Let o(l) be the second derivative of -l**6/120 + 3*l**5/20 - 5*l**4/24 - l**3/2 + 11*l**2/8 - 70*l. Factor o(m).
-(m - 11)*(m - 1)**2*(m + 1)/4
Let b(w) = w**3 - 12*w**2 + 35*w - 5. Let v(u) = -u**3 + 6*u**2 - 17*u + 3. Let k(f) = 3*b(f) + 5*v(f). Find l, given that k(l) = 0.
-5, 0, 2
Let h(l) be the second derivative of -6 + 64/3*l**3 + 2*l + 5*l**4 + 8*l**2. Solve h(k) = 0.
-2, -2/15
Let u(l) be the third derivative of l**5/90 - 13*l**4/6 + 169*l**3 + 235*l**2. Let u(c) = 0. What is c?
39
Let c(u) be the first derivative of 2/3*u**3 - 1/4*u**4 + 0*u - 1/2*u**2 - 1. Determine b, given that c(b) = 0.
0, 1
Let r(a) be the second derivative of -a**5/70 - 31*a**4/42 - 55*a**3/21 + 87*a**2/7 - 323*a. Factor r(j).
-2*(j - 1)*(j + 3)*(j + 29)/7
Let u(t) be the second derivative of 0*t**2 + 11*t + 0*t**6 + 0*t**4 - 3/20*t**5 + 0 + 0*t**3 + 1/14*t**7. Factor u(i).
3*i**3*(i - 1)*(i + 1)
Let m(q) be the first derivative of -1/6*q**4 - 7 - 10/9*q**3 - 7/3*q**2 - 2*q. Find p, given that m(p) = 0.
-3, -1
Let m = 27 - 24. Determine f, given that 405*f**5 + 680*f - 2205*f**4 - 1342*f**2 + 3755*f**m + 190*f**2 - 60 - 1423*f**2 = 0.
2/9, 1, 3
Let q(m) = -m**3 + 3*m**2 + 3*m + 4. Let x be q(4). Factor x*k - 4*k + 18 + 4*k**2 - 26.
4*(k - 2)*(k + 1)
Let r = -1426 - -1442. Let c(l) be the second derivative of -r*l**2 - 1/6*l**4 - 8/3*l**3 + 0 - 6*l. Factor c(t).
-2*(t + 4)**2
Let k(u) = 3*u**3 - 12*u**2 - 33*u - 1. Let p(h) = -h**3 + 4*h**2 + 11*h. Let g(y) = 6*k(y) + 17*p(y). Factor g(z).
(z - 6)*(z + 1)**2
Let a be 18/28 + 1362/1589. Solve -1/2*f - 1 + a*f**2 = 0.
-2/3, 1
Let d(n) be the first derivative of -8*n**5/45 - n**4 + 20*n**3/27 + 10. Factor d(f).
-4*f**2*(f + 5)*(2*f - 1)/9
Let s = 827/1040 - -1/208. What is j in 2/5 + 2/5*j**2 + s*j = 0?
-1
Suppose l = -2*k - 2*l + 10, k - 2*l + 2 = 0. Suppose -y - 2*y + 15 = 2*m, 2*y - 21 = -5*m. Factor -10*d - m*d**2 + 12*d - 6*d + 2*d**k - 4.
-(d + 2)**2
Let w(h) be the first derivative of h**7/1470 - h**6/630 - h**5/210 + h**4/42 + 11*h**3/3 - 4. Let m(r) be the third derivative of w(r). Factor m(p).
4*(p - 1)**2*(p + 1)/7
Let x(k) = 16*k - 236. Let b be x(15). Suppose 3/4*l**b - 3/4*l**5 - 3/4*l**2 + 3/4*l**3 + 0 + 0*l = 0. Calculate l.
-1, 0, 1
Let r(o) be the first derivative of -25*o**6/12 + 148*o**5 - 22777*o**4/8 + 64819*o**3/15 - 12731*o**2/5 + 3364*o/5 - 383. Factor r(l).
-(l - 29)**2*(5*l - 2)**3/10
Let c(p) be the second derivative of 5*p**7/126 - 11*p**6/18 + 13*p**5/4 - 305*p**4/36 + 110*p**3/9 - 10*p**2 + 256*p. Suppose c(n) = 0. Calculate n.
1, 2, 6
Suppose -4*s + 14 = 3*r, -6*s + 3*r = -4*s + 2. Determine n, given that 3/5*n**s + 0 - 3/5*n + 3/5*n**3 - 3/5*n**4 = 0.
-1, 0, 1
Suppose -c = -j + 6, 3*j + 3*c - 10 = 2. Let f = j - 3. Determine o, given that 2*o**2 + f*o**2 - 6*o**3 - 5*o**3 - o**3 - 3*o**5 + 11*o**4 = 0.
0, 2/3, 1, 2
Let u(c) be the second derivative of 3*c**5/16 + 13*c**4/16 - 3*c**3/4 + 23*c + 1. Factor u(z).
3*z*(z + 3)*(5*z - 2)/4
Let x(f) be the second derivative of f**7/630 - f**6/15 + 6*f**5/5 + 5*f**4/2 + 36*f. Let m(l) be the third derivative of x(l). What is u in m(u) = 0?
6
Let f(d) be the third derivative of 0*d**6 + 0*d**5 + 0 - 1/42*d**7 + 34*d**2 + 0*d**3 + 5/168*d**8 + 0*d**4 + 0*d. Solve f(k) = 0.
0, 1/2
Let r(z) be the second derivative of 289*z**4/54 - 34*z**3/27 + z**2/9 - 98*z. Factor r(a).
2*(17*a - 1)**2/9
Factor 11 - 2*f - f + 4 - f + 14*f - 5*f**2.
-5*(f - 3)*(f + 1)
Factor -1374*p**3 - 1764*p**2 + 200*p**3 - 198*