 - 11552*y - 3*y**3 - 407*y**2 + 3452*y + 677*y**2.
-3*(y - 30)**3
Find m, given that -416/5*m + 28/5*m**4 - 144/5*m**2 + 128/5 + 104/5*m**3 = 0.
-4, -2, 2/7, 2
Determine k so that -29*k**2 + 36*k**2 + 112896 + 1344*k - 3*k**2 = 0.
-168
Let l = 30 + -29. Let f be (-10)/(-25) + (l - 2)/15. Solve -2*s**2 + 4/3*s**3 + 4/3*s - 1/3*s**4 - f = 0 for s.
1
Let k = -964/3 + 292. Let o = k + 89/3. Factor -2/3*f**2 - o + 1/3*f**5 + f**4 + 2/3*f**3 - f.
(f - 1)*(f + 1)**4/3
Let n(f) be the second derivative of -f**5/4 + 35*f**4/12 - 55*f**3/6 + 25*f**2/2 + 178*f. Factor n(s).
-5*(s - 5)*(s - 1)**2
Factor -48*y**3 - 39*y**2 - 16*y**4 + 12*y**4 - 100 - 240*y - 73*y**2 - 72*y**2.
-4*(y + 1)**2*(y + 5)**2
Suppose -6 = -3*j + 5*z - 2*z, 0 = -4*j - 3*z + 1. Let b be j - (-6)/(-4)*4/(-10). Solve -14/5*i**2 - 24/5*i + b = 0.
-2, 2/7
Let d(w) = w**3 + 11. Let t be d(0). Suppose 0 = t*g - 10*g - 3. Let -10*i**2 + 0*i + 8*i**2 - 2*i**g + 0*i = 0. Calculate i.
-1, 0
Let t(r) be the second derivative of r**5/4 - r**4/2 + 39*r**2/2 - 38*r. Let m(f) be the first derivative of t(f). Factor m(d).
3*d*(5*d - 4)
Let t be (0/(2 + -1))/((-14)/(-14)). Let z(v) be the first derivative of 2/3*v**3 + 2*v**2 + 4 - v**4 - 2/5*v**5 + t*v. Factor z(u).
-2*u*(u - 1)*(u + 1)*(u + 2)
Let s(m) be the first derivative of m**5/20 + 11*m**4/4 + 161*m**3/4 - 11*m**2/2 - 121*m - 4. Find c, given that s(c) = 0.
-22, -1, 1
Let n(u) be the second derivative of -u**5/100 - u**4/60 + 23*u + 1. Find m, given that n(m) = 0.
-1, 0
Let j(o) be the third derivative of o**5/20 + 13*o**4/4 - 27*o**3/2 - 9*o**2 + 2. Factor j(q).
3*(q - 1)*(q + 27)
Let c = -4 - -8. Let f be 14/c + (-9)/18. Let 3*s**3 - 4*s**3 + 0*s**f - 2*s**3 = 0. Calculate s.
0
Let s(i) = 7*i**4 + 19*i**3 + 16*i**2 + 3. Let l(w) = 22*w**4 + 58*w**3 + 48*w**2 + 10. Let v = -16 + 6. Let d(b) = v*s(b) + 3*l(b). Factor d(n).
-4*n**2*(n + 2)**2
Let x(q) = q + 11. Let i be x(-6). Suppose 2*l - 26 = -2*d - 3*l, -2*l + i = -d. Factor -2/11*n - 2/11*n**2 + 2/11*n**d + 2/11.
2*(n - 1)**2*(n + 1)/11
Let g(u) be the second derivative of -u**6/50 - 3*u**5/25 + 11*u**4/20 - 3*u**3/5 + 34*u. Let g(t) = 0. Calculate t.
-6, 0, 1
Let q(i) = 3*i**2 - 5*i - 27. Let t(u) = -16*u**2 + 28*u + 148. Suppose 0 = -4*l + 10 + 10. Let r(k) = l*t(k) + 28*q(k). Suppose r(b) = 0. What is b?
-2, 2
Let c = -25207 + 25210. Solve -4/5*v**4 - 2/5*v + 4/5*v**2 + 0*v**c + 2/5*v**5 + 0 = 0 for v.
-1, 0, 1
Let m(v) = -5*v**3 + 18*v**2 - 7*v + 3. Let h(i) = i**2 + i + 1. Let w = -66 - -67. Let y(a) = w*m(a) - 3*h(a). What is p in y(p) = 0?
0, 1, 2
Let a(w) be the third derivative of w**8/2184 - w**7/1365 - 205*w**2. Factor a(x).
2*x**4*(x - 1)/13
Let k(x) be the second derivative of -5/12*x**4 + 3*x + 1/30*x**6 - 1/3*x**3 + 1/42*x**7 - 3/20*x**5 + 0 + 0*x**2. Find m, given that k(m) = 0.
-1, 0, 2
Let j(g) be the third derivative of g**7/13860 - g**5/660 + g**4/3 + 38*g**2. Let d(c) be the second derivative of j(c). What is a in d(a) = 0?
-1, 1
Let c be 9*(-63)/(-462)*11. Let -c + 3/2*t**2 - 12*t = 0. Calculate t.
-1, 9
Solve 0 - 2/3*y**3 + 8/3*y**4 - 1/3*y**5 + 25*y - 80/3*y**2 = 0.
-3, 0, 1, 5
Find a such that a**4 + 0*a - 10*a**2 - a - a + 12*a**2 - 5*a**2 = 0.
-1, 0, 2
Factor 5*v**3 + 5690*v - 6 - 3*v**3 + 4*v**2 - 5700*v - 6.
2*(v - 2)*(v + 1)*(v + 3)
Let r = -51 + 56. Solve 1 - 7*p**2 + 3*p - r*p**2 + 1 - 5*p = 0.
-1/2, 1/3
Let h = -4380794 + 3132269732/715. Let i = h + -4/143. Find v such that -4/5*v - i*v**5 - 54/5*v**3 + 46/5*v**4 + 26/5*v**2 + 0 = 0.
0, 2/7, 1
Let l be 448/(-42) - -12 - 1/12. Determine z, given that 0*z + 5/4*z**2 - l = 0.
-1, 1
Determine x so that 372 - 19*x - 351 + 4*x - 3*x**2 - 3*x = 0.
-7, 1
Let q be (1/2)/(-4 - (-75)/18). Factor -v**2 + v + q*v**2 + 14 - 2 - 11*v.
2*(v - 3)*(v - 2)
Let i(s) = -2*s**2 - 19*s - 20. Let b(p) = p. Let l(q) = -6*b(q) + 2*i(q). Factor l(j).
-4*(j + 1)*(j + 10)
Let p(z) be the second derivative of -5 - 108/7*z**2 + 6/7*z**3 + 3/140*z**5 + 5/14*z**4 + 5*z. Factor p(j).
3*(j - 2)*(j + 6)**2/7
Let i(f) be the third derivative of 3*f**2 - 1/16*f**5 - 7/960*f**6 - 1/8*f**3 + 0*f - 29/192*f**4 + 0. Determine n so that i(n) = 0.
-3, -1, -2/7
Let o(d) be the second derivative of -d**7/420 + 11*d**6/180 - 19*d**5/60 + 3*d**4/4 + 23*d**3/6 + 42*d. Let a(w) be the second derivative of o(w). Factor a(b).
-2*(b - 9)*(b - 1)**2
Let h(z) = -2*z - 19. Let k be h(-10). Factor 3 + 19*x + x - k + 2 + 25*x**2.
(5*x + 2)**2
Let y(h) be the third derivative of -h**7/525 - h**6/50 - 11*h**5/150 - h**4/10 - 39*h**2. Solve y(b) = 0 for b.
-3, -2, -1, 0
Let m(j) = 120*j**3 - 815*j**2 + 105*j + 35. Let x(v) = 7*v**3 - 48*v**2 + 6*v + 2. Let t(c) = 2*m(c) - 35*x(c). Solve t(r) = 0.
0, 10
Find i such that -28*i + 6 - 7 + 12*i**2 + 32*i**3 + 12*i**2 - 23 - 6097*i**5 + 6093*i**5 = 0.
-2, -1, 1, 3
Let j(q) be the first derivative of 4*q**5/35 + 13*q**4/7 + 44*q**3/21 - 26*q**2/7 - 48*q/7 - 58. What is i in j(i) = 0?
-12, -1, 1
Let n(k) be the first derivative of -k**5/30 + k**4/18 - 7*k - 13. Let g(a) be the first derivative of n(a). Solve g(p) = 0 for p.
0, 1
Let a(g) = 9*g**2 - 41*g - 162. Let j(o) = -21*o**2 + 81*o + 324. Let s(h) = 9*a(h) + 4*j(h). Factor s(u).
-3*(u + 6)*(u + 9)
Let r(o) be the first derivative of -o**4/2 + 14*o**3/3 + 8*o**2 + 364. Factor r(m).
-2*m*(m - 8)*(m + 1)
Let y = -3536/11 - -324. Let r = -96/55 + y. Determine l, given that -2/5*l**5 + 0 + 0*l**2 - 2/5*l**3 - r*l**4 + 0*l = 0.
-1, 0
Let z(m) be the first derivative of m**4 - 5/3*m**3 - 1/5*m**5 + 0*m + 10 + m**2. Let z(x) = 0. Calculate x.
0, 1, 2
Let d be 13/4 - 1/2*(-235)/(-94). Factor 0 + 1/2*p + 0*p**d - 1/2*p**3.
-p*(p - 1)*(p + 1)/2
Let x(h) be the first derivative of -h**5/20 - 19*h**4/16 - 3*h**3/2 - 369. Factor x(r).
-r**2*(r + 1)*(r + 18)/4
Let x be (-2 + 4)/(((-665)/14)/(-19)). Determine o so that 1/2*o**2 + 2/5 - 1/10*o**3 - x*o = 0.
1, 2
Let y(p) be the first derivative of -p**6/3 - 18*p**5/5 + p**4/2 + 6*p**3 + 114. Let y(x) = 0. What is x?
-9, -1, 0, 1
Let r(v) be the second derivative of -v**4/78 + 29*v**3/39 + 62*v**2/13 - 5*v - 3. Suppose r(n) = 0. Calculate n.
-2, 31
Let b(o) = o**4 - 6*o**3 - 5*o**2 + 6*o + 2. Let l(x) = -4*x**4 + 30*x**3 + 26*x**2 - 30*x - 11. Let i(d) = 11*b(d) + 2*l(d). Factor i(u).
3*u*(u - 2)*(u - 1)*(u + 1)
Let u be (2 + 0)/(6/(-4) - -2). Let z = -5/2 + u. Find x such that -z - 12*x**2 + 27/4*x - 9/2*x**4 + 21/2*x**3 + 3/4*x**5 = 0.
1, 2
Let f(x) be the first derivative of -3/14*x**2 + 2/7*x**3 + 3/28*x**4 - 1 - 6/7*x. Determine a so that f(a) = 0.
-2, -1, 1
What is r in -2/7*r**2 - 24/7*r - 54/7 = 0?
-9, -3
Let d(i) = -i**2 + i - 7. Let a be d(0). Let l = a + 9. Factor -5*z - 7*z + 15*z**2 + 3 - 6 - 24*z**l.
-3*(z + 1)*(3*z + 1)
Let a(b) be the third derivative of b**7/1890 + b**6/540 - b**4/108 - b**3/54 - 83*b**2. Factor a(f).
(f - 1)*(f + 1)**3/9
Let k(t) be the second derivative of t**8/16800 - t**7/3150 - 7*t**6/1800 - t**5/75 + 25*t**4/12 - 14*t. Let p(n) be the third derivative of k(n). Factor p(a).
2*(a - 4)*(a + 1)**2/5
Let f(k) be the second derivative of k**6/780 - k**4/52 - 2*k**3/39 + 5*k**2 + 15*k. Let i(a) be the first derivative of f(a). What is q in i(q) = 0?
-1, 2
Let f(n) be the third derivative of 0*n**5 - 1/120*n**6 - 1/3*n**3 - 12*n**2 + 0 + 1/8*n**4 + 0*n. What is s in f(s) = 0?
-2, 1
Let b(m) be the first derivative of m**4/3 - 28*m**3/9 + 4*m**2/3 + 160*m/3 - 370. Factor b(n).
4*(n - 5)*(n - 4)*(n + 2)/3
Let s(p) be the second derivative of 4*p**2 - 1/3*p**3 + 0 - 2/3*p**4 + 1/10*p**5 + 5*p. Factor s(g).
2*(g - 4)*(g - 1)*(g + 1)
Let o(n) be the first derivative of n**3/2 + 75*n**2/2 + 1875*n/2 - 75. Factor o(r).
3*(r + 25)**2/2
Let m = -4689/2 - -2345. Factor -m*a - a**2 + 1/2*a**3 + 1.
(a - 2)*(a - 1)*(a + 1)/2
Suppose 4*j = 27*q - 30*q - 6, 8*q - 31 = 5*j. Factor -10/9*u - 2/9*u**q + 0.
-2*u*(u + 5)/9
Let n be (1 - 0)*-1*-1*127. Factor 75*d + 28*d**2 - n + 77 + 60 + 7*d**2.
5*(d + 2)*(7*d + 1)
Let v(o) be the third derivative of 0 - 9*o**2 + 1/735*o**7 + 0*o**3 + 1/168*o**4 - 1/2352*o**8 + 0*o + 0*o**6 - 1/210*o**5. Factor v(p).
-p*(p - 1)**3*(p + 1)/7
Let w = 8055/4 + -2013. Find f such that -1/4*f**3 + f**4 + w*f**5 - 1/2*f**2 + 0 + 0*f = 0.
-1, 0, 2/3
Let w be ((-3)/4)/((-18)/32). Let v(a) be