x - 2 + w*x + 1 + 2*x - x**2.
-(x - 1)**2
Let u(d) be the second derivative of -d**7/10080 - d**6/480 - d**5/96 - 17*d**4/12 - 6*d. Let t(y) be the third derivative of u(y). Factor t(h).
-(h + 1)*(h + 5)/4
Solve 3/4*k**2 + 1/4 + 3/4*k + 1/4*k**3 = 0.
-1
Let q(a) be the second derivative of 0 + 1/10*a**5 - 2*a + 0*a**3 + 0*a**2 + 0*a**4 - 1/28*a**7 + 1/15*a**6. What is w in q(w) = 0?
-2/3, 0, 2
Let y(n) be the second derivative of n**6/30 - n**4/4 - n**3/3 - 244*n. Factor y(r).
r*(r - 2)*(r + 1)**2
Let i(k) be the second derivative of 2*k**6/105 - 6*k**5/35 + 4*k**4/7 - 16*k**3/21 - 58*k. Suppose i(t) = 0. What is t?
0, 2
Let d be (64/40)/((-4)/(-30)). Let i(q) = -q**2 + 7*q - 7. Let p be i(5). Solve -3*c**5 - d*c**4 + 8*c**2 + 4*c**2 + 7*c - 12*c**p + 3*c**3 + 5*c = 0.
-2, -1, 0, 1
Factor 1/9*s**5 + 0 + 35/9*s**3 - 49/9*s**2 + 13/9*s**4 + 0*s.
s**2*(s - 1)*(s + 7)**2/9
Let f(x) = -4*x**5 + 4*x**4 + 24*x**3 - 12. Let q(g) = g**4 + g**3 - 1. Let c(u) = -f(u) + 12*q(u). What is m in c(m) = 0?
-3, 0, 1
Suppose 123 = 19*k - 86. Suppose k = 3*c + 5. Solve -12/19*u - 10/19*u**c - 2/19 = 0.
-1, -1/5
Let o = 68/3 - 679/30. Let u(x) be the second derivative of -3/50*x**5 + 0 + 1/5*x**3 + 1/75*x**6 - 2/5*x**2 + o*x**4 + 5*x. Let u(f) = 0. What is f?
-1, 1, 2
Let g(p) be the second derivative of p**6/15 - 3*p**5/5 + p**4/2 + 10*p**3/3 + 262*p. Factor g(r).
2*r*(r - 5)*(r - 2)*(r + 1)
Let a(i) = 20*i**4 + 6*i**3 - 34*i**2 - 6*i + 42. Let r(m) = -4*m**4 - m**3 + 7*m**2 + m - 9. Let z(p) = -3*a(p) - 14*r(p). Factor z(l).
-4*l*(l - 1)*(l + 1)**2
Let z be (-15)/33 - 2/(-2). Let l be 1734/850 - 5/125. Let -z*f + 0*f**l - 4/11 + 2/11*f**3 = 0. What is f?
-1, 2
Let r(f) be the third derivative of 7/80*f**5 - 1/40*f**6 + 0 + 1/16*f**4 + 0*f + 0*f**3 + 35*f**2. Factor r(b).
-3*b*(b - 2)*(4*b + 1)/4
Let s(h) be the second derivative of -h**9/83160 - h**8/6160 - h**7/1540 - h**6/990 - 5*h**4/4 + 11*h. Let t(b) be the third derivative of s(b). Factor t(v).
-2*v*(v + 1)**2*(v + 4)/11
Determine h so that 128/3 + 416/3*h - 125/3*h**4 + 120*h**2 - 50/3*h**3 = 0.
-4/5, 2
Let a = -580 - -15664/27. Let u(p) be the second derivative of a*p**3 + 1/54*p**4 + 0 + 1/3*p**2 + 6*p. What is c in u(c) = 0?
-3, -1
Suppose 0 = -5*r + 27*r. Factor 2/7*x**2 + 2/7*x**4 + 4/7*x**3 + 0*x + r.
2*x**2*(x + 1)**2/7
Let m = -17 - 3. Let u = 24 + m. Factor 7*z + u*z**2 + 4*z - 12 - 3*z + 0*z**2.
4*(z - 1)*(z + 3)
Let j be (-82)/(-88) + (-5379)/(-363) + -15. Suppose j*x**4 - 1/4*x**3 - 3/4*x**2 + 0 + 1/4*x = 0. Calculate x.
-1, 0, 1/3, 1
Let n(j) = 5*j**4 + 85*j**3 - 759*j**2 + 479*j + 1342. Let m(i) = 2*i**4 + 28*i**3 - 253*i**2 + 159*i + 447. Let o(u) = 8*m(u) - 3*n(u). Solve o(y) = 0.
-1, 2, 15
Suppose 0 = 2*g - 2*g - g + 2. Factor 0 + 15/2*i**3 + 9/2*i - 12*i**g.
3*i*(i - 1)*(5*i - 3)/2
Factor -81/2 + 63*t - 49/2*t**2.
-(7*t - 9)**2/2
Let k(q) be the first derivative of -9*q**4/4 + 5*q**3 + 33*q**2/2 + 9*q + 15. Let k(r) = 0. Calculate r.
-1, -1/3, 3
Suppose 0 = 14*o - 10*o + 12. Let f be ((o - 1) + 3)*-6. Factor 9 - 8 + 1 + 2*c**2 - 2*c + f*c.
2*(c + 1)**2
Let o be 2*-1 + 4 + 0. Let 1 + 3 + p**o + 9*p - 7*p - 3*p**2 = 0. What is p?
-1, 2
Factor 1/4*j**3 - 1/4*j + 1 - j**2.
(j - 4)*(j - 1)*(j + 1)/4
Let v(h) = -2*h**2 - h + 5. Let b be v(-3). Let n be 92/(-230) - (-8)/b*-3. Find l, given that 0 + 3*l**n + 5/4*l**3 + l = 0.
-2, -2/5, 0
Let g(y) = y**4 + 10*y**3 + 20*y**2 + 17*y + 3. Let r(b) = b**4 + 11*b**3 + 21*b**2 + 17*b + 2. Let f(p) = -4*g(p) + 3*r(p). Factor f(q).
-(q + 1)**2*(q + 2)*(q + 3)
Factor 11/4 - 3/2*b**2 + 5/4*b.
-(b + 1)*(6*b - 11)/4
What is j in -j**3 + 13425*j**2 - 13425*j**2 + 4*j = 0?
-2, 0, 2
Suppose -1 = 11*i - 56. Let v(u) be the third derivative of 0*u + 4*u**2 + 1/15*u**4 - 1/5*u**3 + 0 - 1/150*u**i. Factor v(k).
-2*(k - 3)*(k - 1)/5
Let w(i) = 3*i**2 + 11*i + 5. Let y be (-102)/(-18) + (-2)/(-6). Let b(o) = y - o**2 + 2*o**2 + 2*o**2 + 12*o. Let d(h) = 5*b(h) - 6*w(h). Factor d(f).
-3*f*(f + 2)
Let u(t) be the first derivative of t**5/60 + t**4/9 - t**3/18 - 2*t**2/3 + 32*t + 16. Let n(y) be the first derivative of u(y). Let n(k) = 0. What is k?
-4, -1, 1
Let -14400*o - 3/4*o**3 + 384000 + 180*o**2 = 0. Calculate o.
80
Factor 253 - 2*s**2 - 203 + 35*s + 0*s**2 + 7*s**2.
5*(s + 2)*(s + 5)
Let u(w) be the first derivative of -w**2 + 1/2*w**4 + 4/3*w**3 - 4*w - 5. Factor u(t).
2*(t - 1)*(t + 1)*(t + 2)
Let r(a) be the first derivative of -3*a**2/2 - 43*a - 14. Let p be r(-19). Factor p*x + 2*x**3 + 34/3*x**2 - 6.
2*(x + 3)**2*(3*x - 1)/3
Suppose 54*u = 53*u - 2. Let j be ((-32)/12 - u)*(-6)/12. What is z in 1/6*z**2 + j*z + 0 - 1/6*z**3 = 0?
-1, 0, 2
Suppose -57 = -474*s + 455*s. Let j(h) be the third derivative of -1/15*h**7 + 1/6*h**4 + 0*h + 0*h**s + 7*h**2 + 7/30*h**5 - 1/30*h**6 + 0. Factor j(k).
-2*k*(k - 1)*(k + 1)*(7*k + 2)
Let d(r) = 13*r**4 - 131*r**3 + 528*r**2 + 872*r + 200. Let h(z) = -12*z**4 + 131*z**3 - 527*z**2 - 870*z - 200. Let s(w) = -5*d(w) - 6*h(w). Factor s(b).
(b - 10)**2*(b + 1)*(7*b + 2)
Let q(h) = 7*h**2 - 13*h. Let i(l) = 6*l**2 - 14*l. Let j(r) = 3*i(r) - 2*q(r). Suppose j(f) = 0. Calculate f.
0, 4
Suppose 0*r = 5*r - 3*c + 13, r - 3 = -5*c. Let h be (r/12)/((-3)/6). Find p, given that 0 - h*p**5 - 1/3*p + 4/3*p**4 - 2*p**3 + 4/3*p**2 = 0.
0, 1
Let w = 97/124 + -1/31. Let q(c) be the first derivative of -6 - 3/2*c**2 - 1/3*c**3 - 1/5*c**5 + 2*c + w*c**4. Factor q(p).
-(p - 2)*(p - 1)**2*(p + 1)
Let p(s) be the second derivative of s**10/105840 + s**9/52920 - s**8/11760 + 4*s**4 - s + 19. Let o(m) be the third derivative of p(m). What is n in o(n) = 0?
-2, 0, 1
Let b be 6/((-30)/(-25)) - (-2 - -5). Let v(x) be the first derivative of -4*x**2 + 4*x - 1/4*x**4 - b + 5/3*x**3. Determine a so that v(a) = 0.
1, 2
Let t(r) be the third derivative of 0 + 0*r + 0*r**5 + 1/40*r**6 + 5*r**2 + 0*r**4 + 0*r**3. Factor t(h).
3*h**3
Suppose h + 2*r + 8 = 0, -16*h - 2*r - 14 = -18*h. Suppose 0 = t - 1 - 3. Factor 5*q**h + q**t + 3*q**3 + 2 - q**5 - 2 - 2*q**4 + 2*q.
-q*(q - 2)*(q + 1)**3
Suppose 600*m + 12675*m**2 + 212*m - 116*m + 12 + 84*m = 0. Calculate m.
-2/65
Let 0*i - 11/3*i**4 - 1/3*i**5 + 0 - 35/3*i**3 - 25/3*i**2 = 0. Calculate i.
-5, -1, 0
Let l = 22 - 17. Let a(s) = 5*s**4 + 2*s**3 - s**2. Let w(r) = -11*r**4 - 5*r**3 + r**2. Let t(i) = l*a(i) + 2*w(i). Solve t(v) = 0.
-1, 0, 1
Let x(j) be the third derivative of j**6/50 - j**5/150 - 62*j**2. Let x(s) = 0. What is s?
0, 1/6
Let s(w) be the first derivative of -w**6/9 + 16*w**5/15 - 5*w**4/2 - 16*w**3/9 + 16*w**2/3 + 45. Find b such that s(b) = 0.
-1, 0, 1, 4
Let o be (4/(-6))/((-9)/27). Find h such that 6*h - 3 + 2 + 4 + 3*h**o = 0.
-1
Let z(f) be the third derivative of 2/105*f**7 - 1/15*f**5 - 2/15*f**6 + 14*f**2 + 2/3*f**4 + 0 + 0*f + 0*f**3. Factor z(j).
4*j*(j - 4)*(j - 1)*(j + 1)
Let z be ((-970)/(-24444))/((-5)/(-3)). Let x(c) be the third derivative of 0*c**3 - z*c**4 + 0*c + 1/70*c**5 - 1/420*c**6 + 0 - c**2. Factor x(y).
-2*y*(y - 2)*(y - 1)/7
Let v be (462/(-55) + 8)/(3/(-30)). Let y(n) be the third derivative of -1/30*n**5 + 1/12*n**v + 0*n + 2*n**2 + 0 - 1/60*n**6 + 1/3*n**3. Factor y(h).
-2*(h - 1)*(h + 1)**2
Let g(n) be the third derivative of n**7/7140 - n**6/1020 - n**5/1020 + n**4/68 - 16*n**3/3 - 8*n**2. Let f(b) be the first derivative of g(b). Factor f(p).
2*(p - 3)*(p - 1)*(p + 1)/17
Let g(i) = i**2 - 9*i + 10. Let k(f) = -3*f**2 + 17*f - 19. Let p(z) = -5*g(z) - 2*k(z). Factor p(x).
(x - 1)*(x + 12)
Let v(u) be the third derivative of 0*u - 1/3*u**4 + 0*u**3 + 10*u**2 + 0 - 1/15*u**5. Factor v(i).
-4*i*(i + 2)
Let b(u) be the third derivative of -u**5/20 + 35*u**4/2 + 141*u**3/2 - 11*u**2 + 24. Factor b(j).
-3*(j - 141)*(j + 1)
Let p(t) = -t**3 - 10*t**2 - 15*t + 4. Let z be p(-8). Let c(v) = 17*v**2 - 9*v - 1. Let q(x) = 9*x**2 - 4*x. Let d(s) = z*c(s) + 7*q(s). Factor d(g).
-(g - 2)*(5*g + 2)
Suppose 0 = 473*w + 430*w. Suppose 0*h + w + 1/3*h**2 - 4/3*h**3 = 0. What is h?
0, 1/4
Suppose 12 = 76*c - 140. Factor 9/2*p + 15/4*p**3 + 0 + 51/4*p**c.
3*p*(p + 3)*(5*p + 2)/4
Let s(u) be the first derivative of -4*u**3 + 2*u + 15 + 0*u**2 - 6/5*u**5 + 4*u**4. Factor s(b).
-2*(b - 1)**3*(3*b + 1)
Factor 1759*w + 4*w**4 + 111*w**3 + 245*w**3 - 116*w**3 + 3033*w + 1936*w + 38