- 21*p + 8. Factor 0 + 4*i**2 + 4*i - i**p + 4 - 4*i**2 - i**n.
-(i - 2)*(i + 1)*(i + 2)
Let d be (45/(-10))/(-9 - 3). Let b(f) be the second derivative of 3/80*f**5 - 3/16*f**4 + d*f**3 + 0 - 3/8*f**2 + 4*f. Solve b(n) = 0.
1
Let f(c) = c**3 + 12*c**2 - c - 132. Let i be f(-11). Factor -1/2 + 0*s + s**2 - 1/2*s**4 + i*s**3.
-(s - 1)**2*(s + 1)**2/2
Let b = -3/5548 - 2596449/27740. Let n = 94 + b. Factor 6/5*a**2 + n*a**3 + 6/5*a + 2/5.
2*(a + 1)**3/5
Let g(j) be the first derivative of -5/3*j**3 + 0*j**4 - 17 + 0*j + 0*j**2 + j**5. Factor g(p).
5*p**2*(p - 1)*(p + 1)
Let w(q) = q**3 - 10*q**2 - 12*q + 16. Let l be w(11). Solve 4*i**4 - i**5 + 6*i**l - i**4 - 2*i**5 = 0 for i.
-1, 0
Suppose -2*j = 5*f - 11, -j + 2*f = 2 - 3. What is s in s**4 - 9*s + 12*s**2 - 7*s**j + 3*s**2 + 0*s**4 = 0?
0, 1, 3
Let w(l) be the second derivative of l**7/1995 + 3*l**2 + 17*l. Let r(h) be the first derivative of w(h). Factor r(c).
2*c**4/19
Suppose 24 = 13*s - 17*s. Let i be 84/196*(-8)/s. Factor 4/7*v**3 + 2/7*v**4 - i*v + 0*v**2 - 2/7.
2*(v - 1)*(v + 1)**3/7
Let o(i) = -i**3 + i**2 - i - 1. Let c(a) = 5*a**4 - 50*a**3 + 45*a**2 - 25*a - 25. Let y(g) = -c(g) + 25*o(g). What is t in y(t) = 0?
0, 1, 4
Let n be (-4 + 4 + -2)*(-58 - -2). Suppose -115*i = -n*i - 9. Determine m, given that 0*m - 4/7*m**2 + 2/7*m**4 + 0 - 2/7*m**i = 0.
-1, 0, 2
Let g = -93856 + 845746/9. Let o = 116 - g. Factor -o*a**2 + 0*a + 2/9.
-2*(a - 1)*(a + 1)/9
Let s be 9*11/((-33)/(-134)). Let v = s - 2001/5. Suppose -3/5*a**4 - v*a**3 + 36/5*a + 24/5 + 6/5*a**2 = 0. Calculate a.
-2, -1, 2
Let f(i) be the third derivative of -i**8/1344 - i**7/504 + i**6/144 + i**5/24 - 3*i**4/2 - 36*i**2. Let p(s) be the second derivative of f(s). Factor p(c).
-5*(c - 1)*(c + 1)**2
Let w = 9 + -5. Suppose -2*r = 6, w*j - r - 19 = 4*r. Factor 28*b - 10 - 23*b**2 + 3*b**2 + 1 + j.
-4*(b - 1)*(5*b - 2)
Let r(u) be the first derivative of u**3/18 + 71*u**2/12 - 683. Factor r(m).
m*(m + 71)/6
Let c = -2072 + 2074. Factor 5/4*i**4 + 0 - 1/4*i**5 - i**2 + c*i - 3/2*i**3.
-i*(i - 2)**3*(i + 1)/4
Let k be 20/15*(1 - (-3 - 56/(-16))). Determine r so that k - 1/3*r**3 + 1/3*r**4 - r**2 + 1/3*r = 0.
-1, 1, 2
Let d be ((-6)/192)/(10/(-80)). Find b, given that 5/4*b + d*b**3 + b**2 + 1/2 = 0.
-2, -1
Let v(n) be the second derivative of n**7/63 + n**6/9 + n**5/5 - 479*n. Find y such that v(y) = 0.
-3, -2, 0
Let y(j) be the second derivative of -j**8/3360 + j**7/630 - j**6/360 + 13*j**4/12 - 8*j. Let g(h) be the third derivative of y(h). Factor g(f).
-2*f*(f - 1)**2
Let u(q) be the third derivative of q**6/540 + 2*q**5/45 + 5*q**4/12 + 50*q**3/27 + 87*q**2. Factor u(b).
2*(b + 2)*(b + 5)**2/9
Let v(o) be the second derivative of 0 + 7/10*o**6 + 10*o + 12*o**3 + 9/2*o**5 + 6*o**2 + 43/4*o**4. Factor v(i).
3*(i + 1)**2*(i + 2)*(7*i + 2)
Let u be 7/((-1260)/538) + 3. Let v(j) be the second derivative of 1/18*j**4 - 9*j - u*j**6 + 0*j**3 - 1/60*j**5 + 0 + 0*j**2. Factor v(c).
-c**2*(c - 1)*(c + 2)/3
Let q = 23 + -34. Let j = -11 - q. Let 3 + 9*r - 4*r**2 + j*r**2 - 67 - 41*r = 0. Calculate r.
-4
Determine a so that 9*a**5 + 17*a**4 - 16*a**2 + 4*a**4 - 4*a**3 + 7*a**2 - 17*a**3 = 0.
-3, -1/3, 0, 1
Let g(v) be the first derivative of 2*v**5/15 - 8*v**4/3 + 52*v**3/3 - 112*v**2/3 + 98*v/3 + 70. Suppose g(w) = 0. Calculate w.
1, 7
Let t(f) be the second derivative of -f**7/189 + 8*f**6/135 + 43*f**5/90 + 29*f**4/27 + 8*f**3/9 - 200*f. Determine b, given that t(b) = 0.
-2, -1, 0, 12
Suppose 0 = -r + x - 3, 4*x = -5*r + 2*r + 12. Suppose 3/5*m**4 - 6/5*m**2 + 3/5 + 0*m**3 + r*m = 0. Calculate m.
-1, 1
Let d(x) be the second derivative of x**4/4 - 3*x**3/2 - 15*x**2 - 7*x - 3. Factor d(f).
3*(f - 5)*(f + 2)
Let x be 2 + 0 - (111/(-9) - 1). Let a = x - 14. Factor -5/3*n**2 - a + 8/3*n + 1/3*n**3.
(n - 2)**2*(n - 1)/3
Factor 523/5*q**3 + 1321/5*q**2 + 43/5*q**4 + 80 + 248*q + 1/5*q**5.
(q + 1)**3*(q + 20)**2/5
Let g(z) = 3*z**2 - 966*z + 282. Let l(o) = o**2 + 965*o - 281. Let a(d) = -5*g(d) - 6*l(d). Factor a(c).
-3*(c + 46)*(7*c - 2)
Let x(n) = 9*n**2 - 3. Let a(c) = c**2 - c + 1. Suppose 15*y - 5 = 10*y. Let h(l) = y*x(l) - 6*a(l). Factor h(f).
3*(f - 1)*(f + 3)
Let n(k) = k**3 - 4*k**2 - 6*k + 27. Let l be n(4). Suppose -18/17*v**l - 42/17*v**2 + 8/17 - 8/17*v = 0. What is v?
-2, -2/3, 1/3
Factor -28/5*g**2 - 1/5*g**5 - 12/5*g**4 + 0 - 9/5*g - 6*g**3.
-g*(g + 1)**3*(g + 9)/5
Let l(m) = -11*m**4 - 14*m**3 + 27*m**2 + 44*m - 37. Let a(h) = 76*h**4 + 100*h**3 - 188*h**2 - 308*h + 260. Let z(v) = 3*a(v) + 20*l(v). Solve z(d) = 0.
-5/2, -2, 1
Let h(d) be the first derivative of -3/4*d**4 - 9 + 3/5*d**5 + 3*d + 1/4*d**6 + 3/4*d**2 - 2*d**3. Determine q so that h(q) = 0.
-2, -1, 1
Determine p so that -772208/3*p**2 + 157216/3*p - 22984*p**3 + 0 - 2036/3*p**4 - 20/3*p**5 = 0.
-34, 0, 1/5
Suppose 2*h - 5*h = 123. Let q = h + 57. Suppose 3 + 7 + 4 - q + 3*t - t**2 = 0. What is t?
1, 2
Let a(n) = -n**2 + 7*n + 1. Let u be a(6). Suppose -2*s + 1 = -u. Factor -q**3 - 5*q + 3*q**2 - 3*q**4 + s*q**3 - 3*q + 5*q.
-3*q*(q - 1)**2*(q + 1)
Let a(g) = -28*g + 2. Let q be a(1). Let t = q + 28. Let 0*s**4 - 6*s**5 - 5*s**3 + 12*s**5 + 2*s**4 - s**5 - 2*s**t = 0. Calculate s.
-1, -2/5, 0, 1
Suppose -3*i = -4*o + 3, 5*o - 1 = -0*i + i. Factor -a**2 - 3*a + 2*a**2 + 2 + o.
(a - 2)*(a - 1)
Let a be 3 - (-5 - -1 - -4). Let d(w) be the first derivative of 1/9*w**2 + 2/9*w - 1/18*w**4 - a - 2/27*w**3. Let d(g) = 0. Calculate g.
-1, 1
Let o(i) be the third derivative of 0 - 3/32*i**4 + 0*i**3 + 0*i + 21*i**2 - 1/80*i**5. Factor o(t).
-3*t*(t + 3)/4
Let v(j) = -1345*j**2 + 121485*j - 3644995. Let f(o) = -o**3 - 1344*o**2 + 121482*o - 3644994. Let s(y) = 5*f(y) - 6*v(y). Factor s(w).
-5*(w - 90)**3
Solve 8/11*j**5 - 684/11*j + 676/11*j**3 + 162/11 - 146/11*j**4 - 16/11*j**2 = 0.
-1, 1/4, 1, 9
Let z(g) = -8*g**2 - 40*g - 19. Let f(n) = -4*n**2 - 20*n - 10. Let t be (-3)/(-12)*-2*-26. Let h(a) = t*f(a) - 6*z(a). Let h(r) = 0. Calculate r.
-4, -1
Factor -2/15*r**2 - 59168/15 + 688/15*r.
-2*(r - 172)**2/15
Factor 511*r + 64*r**2 - 671*r + 33 + 67.
4*(4*r - 5)**2
Let x = -26 - -31. Let 2*s**3 - 2 + 12*s**5 + 2*s**2 - s + 1 - 13*s**x - s**4 = 0. What is s?
-1, 1
Suppose -23*x + 46*x = 19*x. Let k(b) be the second derivative of 4*b + 1/15*b**6 + 0*b**2 + 2/21*b**7 + 0*b**4 + x + 0*b**3 + 0*b**5. Factor k(f).
2*f**4*(2*f + 1)
Let r(i) be the second derivative of -i**4/12 - i**3/6 + 6*i**2 - 2*i + 55. Factor r(t).
-(t - 3)*(t + 4)
Let y(t) be the first derivative of 11 + 0*t + 5/3*t**3 + 15/2*t**2. Determine n, given that y(n) = 0.
-3, 0
Find w such that 0 + 1/3*w**2 - 2/3*w = 0.
0, 2
Let d(o) = o**4 + o**3 - o - 1. Let b(r) = 5*r**4 + 8*r**3 + 3*r**2 - 14*r - 2. Let s(g) = 5*b(g) - 30*d(g). Factor s(x).
-5*(x - 2)*(x - 1)**2*(x + 2)
Let m = -39 + 47. Suppose m = -z + 3*z. Factor -4*b**2 - 12*b**z - 9*b**3 - 4*b**5 - 4*b**3 + b**3.
-4*b**2*(b + 1)**3
Suppose 56 = -687*t + 701*t. Let i(u) be the first derivative of -3*u**2 - t*u + 3/2*u**4 + 4/3*u**3 + 9. Suppose i(b) = 0. Calculate b.
-1, -2/3, 1
Let q(d) be the third derivative of -13/200*d**6 + 31/100*d**5 + 0 - 1/50*d**7 + 1/112*d**8 + 2/5*d**3 - 1/2*d**4 - 15*d**2 + 0*d. Determine s so that q(s) = 0.
-2, 2/5, 1
Let s(x) be the third derivative of -x**8/784 + x**7/70 - 3*x**6/56 + 9*x**5/140 + 136*x**2. What is j in s(j) = 0?
0, 1, 3
Let u(p) be the second derivative of p**7/42 + p**6/6 + p**5/2 + 5*p**4/6 + 5*p**3/6 + p**2/2 - 108*p. Factor u(k).
(k + 1)**5
Let f be ((-240)/560)/(111/(-42) - -2). Factor -f - 1/6*l**2 + 2/3*l.
-(l - 2)**2/6
Factor -11/4*c**2 - 1/8*c**3 + 169/2 - 65/8*c.
-(c - 4)*(c + 13)**2/8
Let f be 15022/3404 - (213/(-69) + 3). Factor -7/2*a**2 - 1 + f*a.
-(a - 1)*(7*a - 2)/2
Suppose 4/5*d**2 - 112/5*d + 784/5 = 0. Calculate d.
14
Let o(l) be the third derivative of l**8/9240 + l**7/2310 - l**6/660 + 5*l**3/6 - 13*l**2. Let m(c) be the first derivative of o(c). Factor m(f).
2*f**2*(f - 1)*(f + 3)/11
Solve -27*o + 139*o - 4*o**4 + 48 + 8*o**3 + 19*o**2 + 15*o**2 + 42*o**2 = 0.
-2, -1, 6
Factor -2/5*s**5 - 2/5*s**4 + 4/5*s**2 - 2/5*s - 2/5 + 4/5*s**3.
-2*(s - 1)**2*(s + 1)**3/5
Let m be 5/((-1)/(2 - 0)). Let r be ((-26)/(-195))/((-3)/m). What is v in 2/9*v**2 - r + 2/9*v = 0?
-2, 1
Let x(o) = 5*