 - 1)*(c + 3)
Let -v**2 + 55*v - 23265 - 4*v**2 + 23145 = 0. Calculate v.
3, 8
Let q(p) be the second derivative of p**3/6 + p**2/2 + 12*p. Let k(a) = a**2 - 4*a - 4. Let c(v) = k(v) + 4*q(v). Suppose c(r) = 0. Calculate r.
0
Let 124/3*p + 10 - 26/3*p**2 = 0. Calculate p.
-3/13, 5
Let v(b) be the second derivative of -b**6/180 + 9*b**5/20 + 14*b**4/9 + 179*b. Find j, given that v(j) = 0.
-2, 0, 56
Suppose -18*v + 12*v = -18. Factor -9*j**3 - 5 + 3*j**2 - j - 13*j**3 + 23*j**v + 2.
(j - 1)*(j + 1)*(j + 3)
Suppose 0 = -v - 2*n + 12, 0 = 2*v + v - 3*n + 9. Let w(g) be the first derivative of 12*g - 7 + g**3 - 4*g**2 + 11 - 2*g**v. Determine x so that w(x) = 0.
2
Let d(r) be the first derivative of -12 - 2/5*r**2 + 1/5*r**4 - 4/15*r**3 + 4/5*r. Factor d(b).
4*(b - 1)**2*(b + 1)/5
Let o(n) = -54*n**4 - 208*n**3 - 127*n**2 + 10*n + 17. Let j(a) = 9*a**4 + 35*a**3 + 21*a**2 - 2*a - 3. Let d(l) = -34*j(l) - 6*o(l). Factor d(y).
2*y*(y + 1)*(y + 2)*(9*y + 2)
Suppose -42 = -t + 4. Let f be ((-96)/(-20))/(-6) + t/20. Determine u so that -f - 3/4*u**2 + 9/4*u = 0.
1, 2
Suppose -4*l - 12 = 0, 0 = -2*h + l - 5*l. Let q(d) = -h + 1 + 1. Let i(k) = k**2 - k + 3. Let v(t) = -4*i(t) - 5*q(t). Factor v(u).
-4*(u - 2)*(u + 1)
Let m(a) be the second derivative of 0*a**2 + 0 - 1/36*a**4 + 5*a - 1/120*a**5 + 0*a**3. Factor m(z).
-z**2*(z + 2)/6
Suppose -54/13*w - 2/13*w**3 + 2 + 30/13*w**2 = 0. Calculate w.
1, 13
Let a be (38/266)/((6/(-126))/((-2)/12)). Let s(l) = -l + 3. Let d be s(0). Let 1/4*b**2 - 1/2*b**d + 0 + a*b - 1/4*b**4 = 0. Calculate b.
-2, -1, 0, 1
Let l(p) = 40 - 12 + 8 + 56*p**2 - 12*p - 58*p**2. Let o(g) = -g**2 - 13*g + 35. Let r(i) = 3*l(i) - 4*o(i). Determine x so that r(x) = 0.
4
Let b be (-70)/(-100) - (-22)/(-33). Let s(d) be the second derivative of 1/60*d**4 - 10*d + 0 - b*d**3 + 0*d**2. Factor s(l).
l*(l - 1)/5
Let n be 39/(-117) + (-16)/(-3) - (-14)/(-3). Let 1/3*c**2 - 2/3 - c**3 + c + n*c**4 = 0. What is c?
-1, 1, 2
Let j be 1 + 14/(-4)*78/(-91). Let f(o) = -15*o - 1. Let y be f(-1). Factor -18*c**2 - j - 14*c**3 + 24*c + y - 2.
-2*(c - 1)*(c + 2)*(7*c + 2)
Let r = -1706 - -1710. Let 6/5*p**2 + 0 - 2/5*p + 2/5*p**r - 6/5*p**3 = 0. What is p?
0, 1
Let p(r) be the third derivative of -2/9*r**3 + 1/18*r**4 + 0*r + 0 + 1/180*r**5 - 1/360*r**6 + 5*r**2. Solve p(v) = 0.
-2, 1, 2
Let m(y) = y**2 - 91*y + 431. Let z be m(86). Suppose z + 1/4*p**2 - p = 0. What is p?
2
Let x(d) be the second derivative of d**5/40 + d**4/2 + 41*d + 2. Find a such that x(a) = 0.
-12, 0
Suppose -146*c + 149*c = 6. What is h in 2/9*h**4 - 8/9 + 2/3*h**c - 8/9*h**3 + 8/9*h = 0?
-1, 1, 2
Let d(b) be the first derivative of 4*b**3/15 - b**2/5 - 2*b/5 - 181. Factor d(n).
2*(n - 1)*(2*n + 1)/5
Suppose -4*p = 0, 3*w + 5*p - 30 = p. Let x be -1*w*18/(-135). Let 14/3*g + x*g**2 + 2 = 0. Calculate g.
-3, -1/2
Let z(j) = j**3 - 30*j**2 + 58*j - 54. Let n be z(28). Let f(p) be the second derivative of -p - 1/3*p**4 + p**n - 1/3*p**3 + 0. What is b in f(b) = 0?
-1, 1/2
Factor 6*k - 4/5 - 14/5*k**2.
-2*(k - 2)*(7*k - 1)/5
Let u = 71 - 64. Determine p, given that u*p - 4*p**2 + 14 + 5*p + 12 - 10 = 0.
-1, 4
Let l(n) be the second derivative of 3*n**5/20 + n**4/4 - 2*n. Factor l(i).
3*i**2*(i + 1)
Let r(c) be the first derivative of 3*c**5/10 - 3*c**4/8 - 2*c**3 + 3*c**2 - 281. Suppose r(s) = 0. What is s?
-2, 0, 1, 2
Let l(b) be the third derivative of 7/780*b**6 + 5/39*b**4 + 5*b**2 - 8/39*b**3 + 1/15*b**5 + 0*b + 0. Let l(s) = 0. Calculate s.
-2, 2/7
Let d(v) be the first derivative of -v**5 - 15*v**4 + 140*v**3/3 + 1004. Factor d(o).
-5*o**2*(o - 2)*(o + 14)
Let y(x) be the third derivative of 0*x - 39*x**2 + 1/255*x**5 - 1/204*x**6 + 5/204*x**4 - 2/51*x**3 + 0. Solve y(j) = 0.
-1, 2/5, 1
Let f = -391 + 395. Factor 2*c**2 - 2/3*c + 1/6*c**3 + 0 - 1/2*c**f.
-c*(c - 2)*(c + 2)*(3*c - 1)/6
Let n = -3/133 - -193/2660. Let k(l) be the second derivative of -1/12*l**4 + 1/18*l**3 - 1/90*l**6 + 0*l**2 + n*l**5 + 0 - 2*l. Let k(g) = 0. What is g?
0, 1
Let o(x) be the second derivative of 25*x**7/21 - 8*x**6/3 + 3*x**5/5 + 4*x**4/3 + x**3/3 + 531*x. Factor o(m).
2*m*(m - 1)**2*(5*m + 1)**2
Let h = -991/5 - -199. Determine n, given that 0 + 2/15*n**3 + h*n - 2/3*n**2 = 0.
0, 2, 3
Let o(k) = -8*k - 18. Let t be o(-3). Let a(v) be the third derivative of 0*v**3 + 1/300*v**5 - 1/200*v**t + 0*v + 0*v**4 + 0 - 5*v**2. Factor a(q).
-q**2*(3*q - 1)/5
Let u(g) be the first derivative of 5*g**4/4 - 65*g**3/3 + 40*g**2 + 960*g - 74. Factor u(h).
5*(h - 8)**2*(h + 3)
Let v(l) be the third derivative of -1/45*l**5 + 4/9*l**3 + 0 - 36*l**2 + 1/18*l**4 + 0*l. Suppose v(r) = 0. Calculate r.
-1, 2
Find i, given that 172/9 + 170/9*i - 2/9*i**2 = 0.
-1, 86
Let i(f) be the second derivative of f**4/12 + f**2/2 - 5*f. Let o(l) = -l**2 + 5*l - 6. Let z(t) = 6*i(t) + o(t). Factor z(s).
5*s*(s + 1)
Let p(b) = -5*b - 10*b + 29*b - 2*b**2 - 10 + 7*b. Let d be p(10). Determine r, given that 0*r**2 + 0*r + d + 1/2*r**3 = 0.
0
Let u = 15/11 - 169/132. Let q(f) be the third derivative of 0 - u*f**4 - f**2 + 1/6*f**3 + 0*f + 1/60*f**5. Factor q(h).
(h - 1)**2
Let z(c) be the first derivative of c**4/66 + 2*c**3/11 + 9*c**2/11 + 4*c - 4. Let k(p) be the first derivative of z(p). Factor k(f).
2*(f + 3)**2/11
Factor 25/3 + 70/3*q + 28/3*q**3 + 4/3*q**4 + 23*q**2.
(q + 1)**2*(2*q + 5)**2/3
Let u = -22 + 24. Suppose -15*i**u - 11*i**2 + 14 + 19*i + 23*i**2 = 0. What is i?
-2/3, 7
Let i(d) be the second derivative of d**8/2240 + d**7/420 + d**6/240 + 7*d**4/3 + 20*d. Let o(b) be the third derivative of i(b). Factor o(q).
3*q*(q + 1)**2
Suppose 2*k = 7 - 1. Determine i, given that -6*i + 2*i - 62*i**k - 4*i**4 + 4*i**2 + 66*i**3 = 0.
-1, 0, 1
Let v(j) = -j**3 - 10*j**2 - 3*j - 12. Let t be v(-12). What is a in 227 - 50*a**2 - 58 + 2*a**3 - a**2 + t*a = 0?
-1/2, 13
Suppose -w - 770 = -5*w - 3*y, -y + 2 = 0. Find t such that -2*t**4 - w*t**3 + t**4 + 196*t**3 = 0.
0, 5
Suppose 0*s = -11*s + 484. Find k, given that -138*k - 38*k**2 - 53*k**4 - s*k**4 + 30*k**3 + 6*k**2 + 105*k**4 + 36 = 0.
-3, 1/4, 2
Solve 48/7 - 10/7*p**4 + 152/7*p - 2*p**3 + 76/7*p**2 = 0 for p.
-2, -2/5, 3
Factor -1/6*i**2 - 11 - 35/6*i.
-(i + 2)*(i + 33)/6
Let f be 9/(-21) + ((-96)/21)/1. Let p(k) = 25*k - 3. Let j(x) = -x**2 - 24*x + 2. Let b(n) = f*p(n) - 6*j(n). Let b(t) = 0. What is t?
-3, -1/6
Let o(a) = 3*a**2 + 6*a + 8. Let p(k) be the second derivative of 7*k**4/12 + 13*k**3/6 + 8*k**2 - 25*k. Let g(l) = -9*o(l) + 4*p(l). Factor g(j).
(j - 4)*(j + 2)
Let m be ((39/(-2))/(-13))/(69/4). Let s = 27/46 - m. Factor -1/4*o**4 + 0*o + 1/4*o**3 + 0 + s*o**2.
-o**2*(o - 2)*(o + 1)/4
Let t(p) be the first derivative of p**4/14 + 22*p**3/21 + 36*p**2/7 + 72*p/7 + 765. Let t(d) = 0. Calculate d.
-6, -3, -2
Suppose 30*u - 498*u**2 + 989*u**2 - 494*u**2 - 75 = 0. Calculate u.
5
Let p(i) = i + 14. Let y be p(-15). Let c be -1 + 2 + (-4)/(-8) + y. Let c*z**4 - 1/4*z + 0 + 0*z**3 - 1/2*z**2 + 1/4*z**5 = 0. What is z?
-1, 0, 1
Let d(r) be the second derivative of -r**6/30 + r**5/10 + r**4/4 - 4*r**3/3 + 2*r**2 + 207*r + 1. Factor d(o).
-(o - 2)*(o - 1)**2*(o + 2)
Suppose 0*m + 6 = 3*m. Suppose i - a = -i + 37, m*i - 3*a = 47. Determine u so that -23*u + 18*u**3 - 2*u**2 - i*u**2 + 27*u = 0.
0, 1/3, 2/3
Let d(f) be the third derivative of -f**5/40 + 7*f**4/8 + 8*f**3 + 50*f**2 - 2. Factor d(m).
-3*(m - 16)*(m + 2)/2
Let o(f) be the first derivative of 0*f - 1/12*f**3 - 19 + 0*f**2. Factor o(k).
-k**2/4
Let w = 6619/3 - 2206. Factor -2/3*d**2 + w*d + 0 + 1/3*d**3.
d*(d - 1)**2/3
Let f = 84 - 82. Suppose 157 + 154 + u**3 - 311 + 3*u**f = 0. Calculate u.
-3, 0
Let u be ((42/7)/18)/(-3 - 58/(-12)). Suppose u + 2/11*h - 4/11*h**2 = 0. What is h?
-1/2, 1
Let n(c) be the second derivative of 0 - 1/210*c**5 + 1/63*c**3 + 18*c + 0*c**2 + 0*c**4. Solve n(r) = 0.
-1, 0, 1
Let y(m) be the first derivative of -m**4/2 - 20*m**3/3 - 7*m**2 + 36*m + 563. Factor y(h).
-2*(h - 1)*(h + 2)*(h + 9)
Let q(l) be the first derivative of -5*l**6/3 - 15*l**5 - 215*l**4/4 - 290*l**3/3 - 90*l**2 - 40*l - 21. Solve q(j) = 0 for j.
-2, -1, -1/2
Suppose -16*y - 13 = -21*y - 4*t, -5*t = 2*y + 5. Let -3/2*h**4 - 1/2*h**3 + 0*h + 1/2*h**y + 7/2*h**2 - 2 = 0. Calculate h.
-1, 1, 2
Find b such that