/6*n**3 - 1/6*n**2.
(n - 1)**2*(n + 1)/6
Let t = 20733/95 - 5640/19. Let r = t - -79. Let -r*m**2 - 4/5*m + 0 = 0. Calculate m.
-2, 0
Let d(l) be the second derivative of -l**5/50 + l**3/5 - 2*l**2/5 - 5*l. Factor d(p).
-2*(p - 1)**2*(p + 2)/5
Let f(b) be the third derivative of -b**8/84 + 2*b**6/15 - 2*b**5/15 - b**4/2 + 4*b**3/3 - 6*b**2. Let f(c) = 0. Calculate c.
-2, -1, 1
Suppose -3 = -2*h + 3*y, 2*h - 4 - 9 = 5*y. Let z be 4/h - 70/(-15). Factor -2*l**2 - 8*l - 2 - 2*l**2 + 2*l**5 + 4*l**3 + 2*l + 6*l**z.
2*(l - 1)*(l + 1)**4
Suppose -6*s**5 + 934*s**2 - 907*s**3 - 4134*s**2 - 100*s**4 - 6400*s + s**5 - 5120 + 107*s**3 = 0. What is s?
-4
Let z(f) be the third derivative of -f**8/42 + 2*f**7/105 + f**6/30 + 11*f**2. Let z(v) = 0. What is v?
-1/2, 0, 1
Suppose -5*f - 61 = -l, -2*f - f = 3*l - 165. Let o be l/26 + 12/(-78). Find n, given that 2*n**o + 11*n - n**4 - 1 - 11*n = 0.
-1, 1
Suppose -5*o - 2*r + 12 = 0, 0 = -o - r - 0*r + 3. Factor -c**5 + 2*c**4 + 4*c**2 - o*c**5 - 2 + c**5 + 4*c**3 - 2*c - 4*c**4.
-2*(c - 1)**2*(c + 1)**3
Let f(r) = -r**5 + r**4 + 17*r**3 + 15*r**2 + 6*r - 6. Let o(i) = 3*i**5 - 4*i**4 - 51*i**3 - 44*i**2 - 17*i + 17. Let g(h) = -17*f(h) - 6*o(h). Factor g(q).
-q**2*(q - 9)*(q + 1)**2
Let k(c) be the first derivative of 1 + 0*c**4 + 0*c**2 + 1/3*c**3 - 1/1620*c**6 + 0*c + 0*c**5. Let x(z) be the third derivative of k(z). Factor x(n).
-2*n**2/9
Let d(y) be the second derivative of y**5/12 - y**4/9 - y**3/18 + y - 3. Factor d(f).
f*(f - 1)*(5*f + 1)/3
Let v(g) be the second derivative of g**7/98 - g**6/70 - 3*g**5/140 + g**4/28 - 6*g. Factor v(f).
3*f**2*(f - 1)**2*(f + 1)/7
Let f(x) be the third derivative of -3*x**6/80 + x**5/20 + 3*x**4/16 - x**3/2 + 7*x**2. What is b in f(b) = 0?
-1, 2/3, 1
What is b in 88/5*b**4 - 88/5*b**2 - 234/5*b**3 + 242/5*b**5 - 8/5*b + 0 = 0?
-1, -2/11, 0, 1
Let d(n) be the second derivative of -n**5/130 + 4*n**3/13 - 16*n**2/13 + 4*n. Suppose d(h) = 0. Calculate h.
-4, 2
Determine v, given that 2*v**3 + 4*v**3 - 2*v**2 + 3*v**2 - 4*v**3 + v**4 = 0.
-1, 0
Suppose -5 = -2*s + 7*s. Let x be s*0/(-1 - 3). Factor l**4 + 1/2*l**3 + 1/2*l**5 + x*l**2 + 0 + 0*l.
l**3*(l + 1)**2/2
Let m be (-5)/(14/(-4) - -1). Let k(s) be the first derivative of 9/2*s**m - 3 - 6*s - s**3. Factor k(r).
-3*(r - 2)*(r - 1)
Let y be (-72)/(-6) + (1 - 3). Suppose y = 4*b + b. What is x in 6/5*x**3 + 2/5*x + 0 - 8/5*x**b = 0?
0, 1/3, 1
Let x = 99 - 94. Let i(q) be the first derivative of -2/15*q**3 - 3 + 1/5*q + 0*q**4 + 1/25*q**x + 0*q**2. Determine t, given that i(t) = 0.
-1, 1
Suppose 7*m**3 - 16*m**4 + 12*m**4 + 0*m**3 - 3*m**3 = 0. What is m?
0, 1
Let g(w) = 3*w**4 + 6*w**3 + 25*w**2 + 26*w + 14. Let l(p) = 16*p**4 + 29*p**3 + 126*p**2 + 129*p + 71. Let a(u) = 11*g(u) - 2*l(u). Factor a(h).
(h + 1)*(h + 2)**2*(h + 3)
Let n(s) be the third derivative of -s**5/540 - s**4/24 - 4*s**3/27 + 21*s**2. Factor n(o).
-(o + 1)*(o + 8)/9
Let -7*x**2 - x**4 + 5*x**3 + 12*x - 4 - 6*x**2 + x**3 = 0. Calculate x.
1, 2
Let q = 871/21 - 45817/1092. Let o = -3/13 - q. Suppose 1/4*j**2 - 1/4*j**4 - 1/4*j + 0 + o*j**3 = 0. Calculate j.
-1, 0, 1
Let j = 1003/5 + -199. What is i in -j*i**5 - 2/5*i**4 + 0 + 0*i + 2/5*i**2 + 8/5*i**3 = 0?
-1, -1/4, 0, 1
Let l(x) = x**3 + 19*x**2 + x + 21. Let o be l(-19). Suppose -o*t + 6 = 3*m - 0, -4*m + 4*t = -8. Factor 0 + 15/2*a**m + 3*a.
3*a*(5*a + 2)/2
Suppose -h - 1 = -q, -4*h + 14 = 4*q + q. Suppose -2/5*b**q + 0 + 0*b = 0. Calculate b.
0
Let m(q) = q + 1. Let w(s) = 5*s**2 - 10*s - 15. Let n(o) = 5*m(o) + w(o). Factor n(j).
5*(j - 2)*(j + 1)
Let p(g) be the third derivative of -g**7/70 + g**5/10 - g**3/2 + 37*g**2. Factor p(f).
-3*(f - 1)**2*(f + 1)**2
Let i(z) be the second derivative of z**6/105 - z. Find y, given that i(y) = 0.
0
Let u(h) = 7*h**2 + 46*h + 283. Let o(p) = -p**2 - 2*p + 1. Let r(s) = -6*o(s) - u(s). What is l in r(l) = 0?
-17
Let q(r) be the second derivative of r**5/60 - r**3/6 - r**2/3 - 24*r. Suppose q(u) = 0. What is u?
-1, 2
Let f(n) be the first derivative of -2*n**3/21 + 4*n**2/7 + 6. Suppose f(z) = 0. Calculate z.
0, 4
Let f(l) be the third derivative of l**7/840 - l**6/480 - l**5/80 + 5*l**4/96 - l**3/12 - 4*l**2. Let f(i) = 0. What is i?
-2, 1
Factor 9*x**2 + x + 3*x - x**2 + 4*x**3.
4*x*(x + 1)**2
Let v(f) be the second derivative of f**7/3360 - f**6/240 + f**5/40 - f**4/6 - 4*f. Let k(p) be the third derivative of v(p). Factor k(l).
3*(l - 2)**2/4
Determine y so that 1/7*y**3 + y - 3/7 - 5/7*y**2 = 0.
1, 3
Let w = 8 - 3. Let t be (-4)/w*(-10)/4. Suppose 6*l**2 - l**4 - 6*l**t - l**3 = 0. What is l?
-1, 0
Let g(j) be the second derivative of -j**9/1512 - j**8/840 + j**7/420 + j**6/180 - j**3/2 + 3*j. Let c(x) be the second derivative of g(x). Factor c(m).
-2*m**2*(m - 1)*(m + 1)**2
Let h be ((-14)/10 - 1)*5. Let y be (h/(-9))/(6/9). Factor 0 + 0*l - 1/4*l**y.
-l**2/4
Let h(r) be the first derivative of -r**4/42 + 2*r**3/21 - 3*r + 2. Let c(i) be the first derivative of h(i). Factor c(d).
-2*d*(d - 2)/7
Let w be (1 - 1)*1/(-2). Factor 3*g**4 - 2*g - 4*g**4 + 0*g**4 + w*g**3 + g**2 + 2*g**3.
-g*(g - 2)*(g - 1)*(g + 1)
Let d = 12 - -2. Determine y so that 10*y**3 + 10*y**3 - 2*y - 9*y**3 + d*y**4 - 5*y**2 = 0.
-1, -2/7, 0, 1/2
Let q(h) be the third derivative of -h**8/20160 - h**7/5040 + h**6/360 - h**5/12 - 2*h**2. Let o(f) be the third derivative of q(f). Factor o(l).
-(l - 1)*(l + 2)
Let t = -59 - -63. Solve 0*p + 0 + 0*p**t + 2/7*p**3 - 2/7*p**5 + 0*p**2 = 0.
-1, 0, 1
Factor -68*u**3 + 312*u**3 - 244*u**2 - 56*u**4 + 4*u**5 + 144*u - 92*u**2.
4*u*(u - 6)**2*(u - 1)**2
Let f(i) be the second derivative of i**5/12 + i**4/18 - 5*i**3/18 - i**2/3 - 7*i. Factor f(n).
(n - 1)*(n + 1)*(5*n + 2)/3
Let h = -1 + -1. Let w = 5 + h. Suppose 0 - 1/3*z**2 + 0*z - 4/3*z**5 - 2/3*z**w + 7/3*z**4 = 0. Calculate z.
-1/4, 0, 1
Let t = 2 - -3. Suppose t*d - 9 = 6. Factor 0*k - 1/3*k**2 + 0 + 1/3*k**d.
k**2*(k - 1)/3
Let a be 4 - (15/(-5) - -3). Factor -1/2*t + 1/2*t**3 + 1/2*t**2 + 0 - 1/2*t**a.
-t*(t - 1)**2*(t + 1)/2
Let m(t) = -t**2 - 25*t - 22. Let d be m(-24). Factor 4/3*o**d + 8/3*o - 8*o**3 - 2/3 - 6*o**4.
-2*(o + 1)**2*(3*o - 1)**2/3
Let u be (-2)/((-6)/33) + 1. Let a be 2/u*38 - 3. Solve 10/3*c**3 - 4/3 - 2/3*c**2 - a*c + 2*c**4 = 0 for c.
-1, -2/3, 1
Let l(m) = -m**2 - 11*m + 4. Let z be l(-11). Factor -4/3*o**3 + 2/3*o**z - 2*o**2 + 8/3*o + 8/3.
2*(o - 2)**2*(o + 1)**2/3
Let i(n) be the third derivative of -n**7/1260 + n**6/280 - n**5/210 - n**4/24 - n**2. Let b(m) be the second derivative of i(m). Solve b(x) = 0 for x.
2/7, 1
Let b(o) = -o**3 - o**2 + o. Let j(d) = 12*d**2 - 3*d. Let i(x) = -3*b(x) - j(x). Factor i(g).
3*g**2*(g - 3)
Let u = -3145799/7 + 448670. Let w = 731 + u. Determine i, given that 8/7 - w*i - 6/7*i**2 = 0.
-2, 2/3
Let h(r) = r + 1. Let f be h(1). Suppose f*t - 4*z - 145 = z, t = 2*z + 71. Factor 3*a**2 + t - 65.
3*a**2
Suppose -19 + 4 = -5*o. Let r(f) be the second derivative of 1/3*f**4 - 4/9*f**o + 1/45*f**6 + 0 + f - 2/15*f**5 + 1/3*f**2. Let r(b) = 0. Calculate b.
1
Let v(x) = -7*x**2 - 11*x - 4. Let r(d) = -15*d**2 - 23*d - 8. Let w(j) = 3*r(j) - 7*v(j). Factor w(h).
4*(h + 1)**2
Let t(r) = r**3 - 5*r**2 - 4*r + 7. Let i be t(5). Let s = 17 + i. Determine v, given that -1/3*v**s - 23/3*v**3 + 2/3*v + 7*v**5 + 1/3*v**2 + 0 = 0.
-1, -2/7, 0, 1/3, 1
Let n(d) be the second derivative of -d**7/112 + d**6/20 - 3*d**5/32 + d**4/16 - 34*d - 1. Determine p, given that n(p) = 0.
0, 1, 2
Let f(u) be the third derivative of u**7/2100 - u**6/900 - u**3/6 - 2*u**2. Let h(n) be the first derivative of f(n). Suppose h(t) = 0. Calculate t.
0, 1
Suppose -3*q + 15 = -0. Suppose 3*b = 5*z - 10, 0*z = 5*b + q*z - 10. Let -2/7*k**5 + b + 0*k + 0*k**3 + 2/7*k**4 + 0*k**2 = 0. What is k?
0, 1
Let z be ((-5)/(-15) - 0)/(1/6). Let 1/4*t**3 + 5/4*t + t**z + 1/2 = 0. Calculate t.
-2, -1
Let r(g) be the third derivative of -g**8/84 + g**6/15 - g**4/6 + 14*g**2. Factor r(v).
-4*v*(v - 1)**2*(v + 1)**2
Let j(w) = -5*w**4 - 27*w**3 - 23*w**2 - 13*w. Let n(c) = c**3 - c**2 + c. Let x(r) = j(r) + 5*n(r). Factor x(f).
-f*(f + 2)**2*(5*f + 2)
Let d be -1 + (-3 - -2) - -11. Let o = -5 + d. What is w in 3*w**4 - 5*w**o + 5*w**2 - w**2 - 2*w**3 = 0?
-2, 0, 1
Let j(v) be the fi