e of -4/5*d + 2/5*d**4 + 1/15*d**6 - 15 + 8/25*d**5 - 4/15*d**3 - d**2. Factor l(m).
2*(m - 1)*(m + 1)**3*(m + 2)/5
Let k(u) = u**3 + u**2 - u. Let h(c) = 5*c**3 - 18*c**2 - 15*c + 6. Let g(l) = h(l) + 2*k(l). Suppose g(d) = 0. What is d?
-1, 2/7, 3
Let b = 768 - 2410/3. Let d = 533/15 + b. Suppose -d*p + 0 - 1/5*p**2 = 0. Calculate p.
-1, 0
Factor 3/2*g**4 + 9*g**3 + 0*g + 0*g**2 + 0.
3*g**3*(g + 6)/2
Let l(h) be the second derivative of 25/11*h**2 + 6*h - 10/33*h**3 + 1/66*h**4 + 0. Solve l(w) = 0 for w.
5
Let n(y) be the third derivative of y**8/1344 + y**7/168 - 7*y**4/24 - 8*y**2. Let d(w) be the second derivative of n(w). Determine m so that d(m) = 0.
-3, 0
Suppose 671 - 5 = -6*s. Let h = s + 115. Solve -26/7*v + 54/7*v**2 + 2*v**h - 46/7*v**3 + 4/7 = 0 for v.
2/7, 1
Let c(k) = k**4 + k + 1. Let w(d) = 3*d**2 - d + 1. Let g be ((12/(-4))/(9/6))/2. Let t(q) = g*c(q) + w(q). Let t(j) = 0. What is j?
-2, 0, 1
Let n(m) = 2*m**2 - 2*m**2 + m**3 + 465 - 2*m - 462. Let s be n(1). Solve s*t**3 + 0 + 0*t + 1/2*t**2 = 0.
-1/4, 0
Let i = -44 - -47. Let a(j) be the third derivative of -j**2 + 0 + 0*j + 1/12*j**5 - 1/120*j**6 + 1/24*j**4 - 1/70*j**7 - 1/3*j**i. Suppose a(g) = 0. What is g?
-1, 2/3, 1
Let p(n) = -2*n**3 + n**2 + n. Let v(z) = 19*z**3 - 8*z**2 - 15*z. Let f = 29 + -27. Let m(q) = f*v(q) + 18*p(q). What is l in m(l) = 0?
-3, 0, 2
Let i = 1927 + -17341/9. Let -i*w**2 - 4/9*w + 0 + 4/9*w**3 + 2/9*w**4 = 0. Calculate w.
-2, -1, 0, 1
Let h(q) = -13*q**2 - 32*q - 19. Let a(z) = -6*z**2 - 16*z - 10. Let d(p) = 5*a(p) - 2*h(p). Factor d(r).
-4*(r + 1)*(r + 3)
Let o(l) be the third derivative of 0 - 1/30*l**5 + 0*l - 1/30*l**6 + 1/2*l**3 + 1/6*l**4 - 1/210*l**7 - 9*l**2. Factor o(k).
-(k - 1)*(k + 1)**2*(k + 3)
Let t be (-4)/(-18) - (-160)/9. Let c = t - 16. Factor 2*l - 2*l**3 + 0*l**3 + 163*l**2 - 163*l**c.
-2*l*(l - 1)*(l + 1)
Let -20*p - 4*p**3 - 43/3*p**2 - 1/3*p**4 - 28/3 = 0. Calculate p.
-7, -2, -1
Let s be 6 + -4 - 0 - 18/12. Let f(o) be the first derivative of -s*o**2 - 2*o + 1/3*o**3 + 4. Factor f(r).
(r - 2)*(r + 1)
Let b(i) be the first derivative of i**7/1470 - i**6/210 + i**5/105 - 5*i**3/3 + 7. Let l(t) be the third derivative of b(t). Solve l(p) = 0.
0, 1, 2
Suppose -a = -w - 0*w, -4*a - 2 = -5*w. Factor q**3 + 3*q**2 + q**a + 0*q**2 - 2*q**2 - q**4.
-q**2*(q - 2)*(q + 1)
Suppose -5*x = -t + 37, 5*t + 3*x - 21 = 2*t. Factor 9*j**4 - 6*j - 2*j**5 + 4*j - t*j**3 - j**4 + 8*j**2.
-2*j*(j - 1)**4
Let g(p) be the first derivative of p**6/3 + 3*p**5/5 - 5*p**4/4 - 5*p**3/3 + 3*p**2/2 + 2*p + 41. Find c, given that g(c) = 0.
-2, -1, -1/2, 1
Let p be ((-55)/(-10) - 3)*(-244)/(-305). Find s, given that 38/3*s + p*s**2 - 28/3 = 0.
-7, 2/3
Let s(f) = 963*f + 2892. Let t be s(-3). Suppose 1/4*p**t + 0 - p**2 + p = 0. What is p?
0, 2
Let p(q) be the second derivative of 3*q**4/8 - 4*q**3/3 - q**2 - 147*q. Suppose p(f) = 0. What is f?
-2/9, 2
Let h(v) be the second derivative of v**6/7 - 33*v**5/140 + v**4/28 - 83*v. Solve h(f) = 0 for f.
0, 1/10, 1
Suppose 69*b = 451 + 101. Let b*p**2 - 8/3*p + 14/3*p**3 + 0 = 0. Calculate p.
-2, 0, 2/7
Suppose k = -4*m + 15, -k - 8 = 5*m - 26. Suppose -s - 3*g = 9, -4*s + 7*s + m = -g. Solve -36/7*d**3 - 2/7*d**5 + 40/7*d**2 + s + 2*d**4 - 16/7*d = 0.
0, 1, 2
Let v(l) be the first derivative of 8*l + 2*l**4 + 14*l**2 + 32/3*l**3 - 2/3*l**6 - 8/5*l**5 + 11. Solve v(w) = 0 for w.
-1, 2
Let u(t) be the second derivative of 0*t**2 - 1/22*t**4 - 1/110*t**5 - 1/33*t**3 + 3*t + 0 + 1/55*t**6 + 2/231*t**7. Suppose u(g) = 0. Calculate g.
-1, -1/2, 0, 1
Let s be ((-44)/12*-2 + -6)*3. Let d = -4 - -6. Determine b, given that -3*b + 2 - 2*b**d - s - 6 - 5*b = 0.
-2
Let f(i) be the first derivative of -3*i**7/350 + 3*i**6/200 - i**5/150 + 3*i**2 + 10. Let v(n) be the second derivative of f(n). Factor v(o).
-o**2*(3*o - 2)*(3*o - 1)/5
Factor u**4 + 0 + u + 11/4*u**2 - 19/4*u**3.
u*(u - 4)*(u - 1)*(4*u + 1)/4
Find p, given that -27*p + 42*p - 15 + p**3 - 16*p + 15*p**2 = 0.
-15, -1, 1
Let u(d) be the second derivative of 0*d**2 + 1/8*d**4 + 0*d**3 - 45*d - 1/60*d**6 - 1/20*d**5 + 0. Let u(i) = 0. What is i?
-3, 0, 1
Let l be 4*(3/30)/(2/75). Let u be 2/(-16) - l/(-24). Factor u*n**3 - n + 0 - 1/2*n**2.
n*(n - 2)*(n + 1)/2
Solve 0 + 1/8*u**2 - 13/8*u = 0 for u.
0, 13
Let h(o) be the third derivative of o**8/1344 - o**7/280 + o**6/480 + o**5/80 - o**4/48 + 175*o**2. Factor h(n).
n*(n - 2)*(n - 1)**2*(n + 1)/4
Let r be 0/(-2)*88/528. Suppose 0*v - 1/3*v**2 + r = 0. Calculate v.
0
Suppose -10/3*l**4 + 14*l**3 + 4 - 58/3*l - 6*l**2 = 0. What is l?
-1, 1/5, 2, 3
Let v(d) = -25*d**2 - 24*d + 1. Let x be v(-1). Determine w, given that -1/3*w - 1/6*w**2 + x = 0.
-2, 0
Let l = 70 + -55. Suppose 8*a = l*a. Factor a*u**2 - 1/2 + 1/4*u**3 - 3/4*u.
(u - 2)*(u + 1)**2/4
Let f be -2 - (-6)/9*3. Suppose -12 = -2*j + 4*o - f, -j - 2*o = 2. Suppose -4/7*r**j + 8/7*r + 0 = 0. Calculate r.
0, 2
Suppose 13*r = 12*r + 4. Let f be ((-13)/(-3) - 3) + (4 - r). Factor 4/3*m**2 + f*m**3 - 2/3 - 2/3*m**4 - 2/3*m - 2/3*m**5.
-2*(m - 1)**2*(m + 1)**3/3
Factor -4/7*m + 2/7*m**2 + 2/7*m**3 + 0.
2*m*(m - 1)*(m + 2)/7
Suppose -6 = 2*a - 18. Let s**4 + 6 + 21*s**2 + 15*s - a*s + 9*s**3 + 10*s = 0. What is s?
-6, -1
Suppose -5*b - 410 + 10 = 0. Let f be b/1980 - (2/(-9) + 0). Solve 0 + 2/11*m**2 - f*m = 0 for m.
0, 1
Let r(f) be the second derivative of -22*f + 0 + 3/20*f**5 + 0*f**2 + 0*f**3 + 3/16*f**4 + 1/40*f**6. Solve r(p) = 0 for p.
-3, -1, 0
Let a be (-24)/5*(-24 - (-3266)/138). Determine r, given that -a*r - 8/5 - 2/5*r**2 = 0.
-2
Let t(l) be the first derivative of l**5/15 + 4*l**4/3 + 32*l**3/3 + 6*l**2 + 4. Let m(p) be the second derivative of t(p). Factor m(k).
4*(k + 4)**2
Let y(u) be the second derivative of -u**9/7560 - u**8/3360 + u**7/630 + u**4/2 - 4*u. Let x(a) be the third derivative of y(a). Suppose x(d) = 0. Calculate d.
-2, 0, 1
What is m in -39*m**2 - 50 - 43*m**2 - 20*m + 80*m**2 = 0?
-5
What is x in -39*x - 2*x**2 + 12 - x**2 + 30 = 0?
-14, 1
Let b(z) be the second derivative of z**7/1680 + z**6/160 + z**5/40 - 15*z**4/4 - z - 39. Let m(a) be the third derivative of b(a). Factor m(y).
3*(y + 1)*(y + 2)/2
Let n be 27 + -1*(-567)/(-21). Let 0 + 14/13*c**2 + n*c + 2/13*c**3 = 0. Calculate c.
-7, 0
Let y(x) be the first derivative of 3*x + x**2 - 16 - 1/3*x**3. Factor y(j).
-(j - 3)*(j + 1)
Let h(f) be the second derivative of f**4/84 - 4*f**3/21 + 8*f**2/7 + 60*f. Find k such that h(k) = 0.
4
Let g(s) = -s**3 + 10*s**2 - 9*s + 2. Let y be g(9). Suppose -4*p + y*c + 12 = -c, -6 = -2*p - 2*c. Factor 9*v**2 - 3 + 5 - 9*v + 1 - p*v**3.
-3*(v - 1)**3
Let i(c) = 14*c**3 + 10*c**2 + 26*c + 18. Let g(y) be the second derivative of -y**5/20 - y**3/6 - y**2/2 + 7*y. Let l(v) = -12*g(v) - i(v). Factor l(w).
-2*(w + 1)**2*(w + 3)
Let k(q) be the third derivative of -q**5/270 + 5*q**4/108 + 4*q**3/3 + 105*q**2 + 3*q. Solve k(x) = 0 for x.
-4, 9
Factor -4*h + 49/12 - 1/12*h**2.
-(h - 1)*(h + 49)/12
Let u(a) be the third derivative of a**6/30 + a**5 - a**4/6 - 10*a**3 + 20*a**2. Factor u(f).
4*(f - 1)*(f + 1)*(f + 15)
Let k(b) = b**3 + 2*b**2 - 3*b + 2. Let g be k(1). Let x be (-2)/(-7) - 36/(-21). Factor 8/5 + 2/5*j**3 + 16/5*j + x*j**g.
2*(j + 1)*(j + 2)**2/5
Let l(o) be the second derivative of -o**5/10 - 2*o**4/3 + o**3/3 + 4*o**2 - 2*o + 21. Let l(x) = 0. What is x?
-4, -1, 1
Let j = 244 - 244. Let u(i) be the third derivative of 0 - 1/66*i**4 - 1/330*i**5 + 1/660*i**6 + i**2 + j*i**3 + 0*i. Find m, given that u(m) = 0.
-1, 0, 2
Find q, given that 125*q + 25/4*q**3 - 65 + 365/4*q**2 = 0.
-13, -2, 2/5
Let k = -35 - -38. Factor 36*t**k - 4 - 26*t + 34*t + 44*t**2 + 4.
4*t*(t + 1)*(9*t + 2)
Let s(d) be the third derivative of -5/6*d**4 - 13*d**2 + 0 + 0*d - 1/60*d**5 - 50/3*d**3. Factor s(m).
-(m + 10)**2
Let q(m) be the first derivative of m**4/12 - 4*m**3/9 - 7*m**2/6 + 10*m/3 + 114. Factor q(x).
(x - 5)*(x - 1)*(x + 2)/3
Let y(d) be the second derivative of 0*d**2 - 5/18*d**4 - 1/10*d**5 + 0 - 25*d + 2/9*d**3. Factor y(b).
-2*b*(b + 2)*(3*b - 1)/3
Suppose 3*y = -8*q - 17, y + 0 = -4*q - 11. Let l(m) be the first derivative of -39/4*m**4 + y - 27/2*m**2 + 6*m - 24*m**3. Factor l(u).
-3*(u + 1)**2*(13*u - 2)
Let i be 4/20 - 5/25. Let u(o) be