*k + 0.
-m*(m - 1)*(m + 1)/5
Let m(t) be the second derivative of -t**4/42 + 5*t**3/21 + 24*t**2/7 + 21*t - 2. Determine f so that m(f) = 0.
-3, 8
Suppose 19 - 37 - 20*w**3 - 4*w**2 + 18 + 4*w**4 + 20*w = 0. What is w?
-1, 0, 1, 5
Let v(t) = 24*t**3 - 4*t**2 - 16*t + 16. Let j(n) = -n**3 - n + 1. Let y(c) = -20*j(c) - v(c). Find s, given that y(s) = 0.
-3, 1, 3
Solve -2 + 34*r + 6*r**3 + 8*r**4 + 10*r**2 - 41*r**2 + 4 - 8 - 11*r**2 = 0 for r.
-3, 1/4, 1
Let s(z) be the second derivative of -18*z + 2/27*z**3 + 1/9*z**2 + 1/54*z**4 + 0. Suppose s(c) = 0. What is c?
-1
Let a(v) = -v + 9. Let h be a(8). Let x be (0 - h - -1) + 4. Let 2*w**3 + 22*w**x + 8*w**2 - 70*w**4 - 36*w**5 + 8*w**5 - 14*w**3 = 0. Calculate w.
-1, 0, 2/7
Let f(p) be the third derivative of -p**5/180 + p**4/12 - p**3/2 + 18*p**2. Factor f(y).
-(y - 3)**2/3
Let m = 282 - 311. Let t = m - -148/5. Find o such that 1/5*o**3 + t*o - 1/5 - 3/5*o**2 = 0.
1
Suppose -3*o = -3 - 21. Suppose 0 = 4*k - o - 0. Suppose -9*a**4 - 6*a**3 - 6*a + 24*a**2 - 6 - k*a**5 - 12*a**4 + 3 + 14*a**5 = 0. What is a?
-1, -1/4, 1
Factor 26/17*j - 28/17 + 2/17*j**2.
2*(j - 1)*(j + 14)/17
Let g(z) be the first derivative of z**3 + 20*z**2 + 2 - 4*z**2 + 12*z - 10*z**2. Solve g(b) = 0 for b.
-2
Let y be (22 - (42 - 20))/2. Factor 1/3*q**3 + y*q + 2*q**2 + 0.
q**2*(q + 6)/3
Let p(d) be the first derivative of 0*d + 0*d**3 + 0*d**2 - 1/5*d**5 - d**4 + 8. Factor p(y).
-y**3*(y + 4)
Let g(i) = -10*i**3 - 3*i**2 + 13*i + 7. Let s(h) = 2 + 1 - 1 - h**2 + 3*h - 3*h**3 + h. Let t(z) = 4*g(z) - 14*s(z). Factor t(b).
2*b*(b - 1)*(b + 2)
Let x(r) be the first derivative of -7*r**5/30 + 22*r**4/9 - 25*r**3/3 + 6*r**2 + r - 12. Let m(y) be the first derivative of x(y). Let m(i) = 0. Calculate i.
2/7, 3
Suppose 2*j - 32 = -0*j. Factor -12*v**3 - 3*v + 11*v**3 - 21*v + 4*v**2 + j + 5*v**2.
-(v - 4)**2*(v - 1)
Let k be (-4)/16 - (-27)/12. What is q in 0*q**4 + 24*q**k + 12*q**3 - 11*q**4 - q**4 + 16*q**3 = 0?
-2/3, 0, 3
Factor 4*h**2 + 5*h**2 - 80*h - 24*h**2 - 5*h**3 - 25*h**2.
-5*h*(h + 4)**2
Let u(w) be the third derivative of -4/7*w**3 + 1/392*w**8 + 1/245*w**7 + 2/7*w**4 - 1/70*w**5 + 0*w - 1/28*w**6 + 0 + 17*w**2. Factor u(f).
6*(f - 1)**3*(f + 2)**2/7
Let w(j) be the second derivative of -3*j**5/20 - 3*j**4/2 + 7*j**3/2 + 92*j. Let w(u) = 0. Calculate u.
-7, 0, 1
Let l be (-24)/(-14) + 1292/(-2261). Factor -2/7*p**2 + 10/7 - l*p.
-2*(p - 1)*(p + 5)/7
Let p(k) be the first derivative of -1/40*k**4 + 5 + 0*k**5 + 1/600*k**6 - 2/3*k**3 + 0*k**2 + 0*k. Let y(g) be the third derivative of p(g). Factor y(j).
3*(j - 1)*(j + 1)/5
Factor 27 - 31*r**2 + 28*r**2 - 32*r**2 - 6*r**2 - 34*r**2.
-3*(5*r - 3)*(5*r + 3)
Suppose 64/19*q - 512/19 - 2/19*q**2 = 0. What is q?
16
Solve -3/4*l + 29/8*l**2 + 0 - 9/8*l**3 = 0.
0, 2/9, 3
Let c(t) be the third derivative of t**6/720 - 11*t**5/120 + 121*t**4/48 - 1331*t**3/36 + 3*t**2 + 15. Suppose c(u) = 0. What is u?
11
Factor 4/5*i**2 - 36 - 16/5*i.
4*(i - 9)*(i + 5)/5
Suppose -8*l**2 + 0*l**2 - 4*l**5 + 8*l**4 + 20*l**3 - 16*l**2 = 0. Calculate l.
-2, 0, 1, 3
Factor -4*u**2 + 62*u + 120*u + 3*u**2 - 24*u + 12*u.
-u*(u - 170)
Factor -40*p**2 + 13*p**4 + 35*p**3 - 8*p**4 - 35*p**3 + 80.
5*(p - 2)**2*(p + 2)**2
Let d(w) = -5*w**2 - 29*w - 18. Let j(f) = -19*f**2 - 113*f - 72. Let m(z) = 22*d(z) - 6*j(z). Solve m(x) = 0 for x.
-9, -1
Let g(c) = 4*c - 3 + 8*c**2 - 2*c**3 - 8*c**4 - c - 3*c**2 + 2*c**2. Let q(a) = 17*a**4 + 3*a**3 - 13*a**2 - 7*a + 7. Let t(j) = -7*g(j) - 3*q(j). Factor t(p).
5*p**2*(p - 1)*(p + 2)
Suppose 4/3*n**2 - 16/3*n + 0 + 10/3*n**3 + 2/3*n**4 = 0. What is n?
-4, -2, 0, 1
Let 472/3*h**3 + 288 + 110/3*h**4 + 7/3*h**5 - 48*h**2 - 1008*h = 0. Calculate h.
-6, 2/7, 2
Let s(o) be the third derivative of o**7/105 + o**6/12 + 2*o**5/15 + 2*o**2 - 67. Factor s(p).
2*p**2*(p + 1)*(p + 4)
Let u(l) be the third derivative of -l**8/1176 - 19*l**7/735 - 33*l**6/140 - 27*l**5/70 - 2*l**2 - 109*l. Factor u(y).
-2*y**2*(y + 1)*(y + 9)**2/7
Let b(m) be the first derivative of m**3/3 - m**2/2 - m + 49. Let s(v) = v**3 + 17*v**2 + 73*v + 123. Let c(l) = 2*b(l) - s(l). Find r such that c(r) = 0.
-5
Suppose -191 = 19*i - 248. What is s in 10/7*s**2 - 8/7*s + 10/7*s**i - 8/7 - 2/7*s**4 - 2/7*s**5 = 0?
-2, -1, 1, 2
Suppose -37*r = -11*r - 208. Let g(o) be the first derivative of -6/7*o - r - 3/14*o**2 + 1/7*o**3. Factor g(t).
3*(t - 2)*(t + 1)/7
Let n(r) be the third derivative of r**6/24 - r**5 - 45*r**4/8 - 35*r**3/3 + 48*r**2. Let n(y) = 0. What is y?
-1, 14
Let c be 8/6*(-3)/(-2). Let l(r) be the first derivative of 4*r + 3 - r**3 - 4*r**3 - 4 + 2*r**c - 5. Determine h so that l(h) = 0.
-2/5, 2/3
Let a = -90 + 95. Solve 2*w**4 - 14 - a*w**4 + 18*w**2 + 12*w**3 - 1 - 12*w = 0 for w.
-1, 1, 5
Let p(x) = 488*x + 2442. Let r be p(-5). Factor 2/17*d**4 + 120/17*d + 92/17*d**r + 24/17*d**3 + 50/17.
2*(d + 1)**2*(d + 5)**2/17
Let r(q) be the second derivative of q**8/2940 + q**7/1470 - 2*q**3 - 8*q. Let g(o) be the second derivative of r(o). Suppose g(h) = 0. What is h?
-1, 0
Let c = 188721/140 - 1348. Let f(b) be the second derivative of 0 + 0*b**2 + 1/210*b**6 + 1/42*b**3 - 1/84*b**4 - c*b**5 - b. Factor f(p).
p*(p - 1)**2*(p + 1)/7
Let x(g) be the second derivative of 2*g**7/21 + 22*g**6/15 - 12*g**5/5 - 403*g. Factor x(c).
4*c**3*(c - 1)*(c + 12)
Suppose 0 = 6*p - 10*p + 16. Factor 5*i**2 - 3*i**2 + i**4 - 13*i**p - 11*i**3 + i.
-i*(i + 1)*(3*i - 1)*(4*i + 1)
Let m(n) = -n**2 - n - 1. Let k(l) = -1 - 97*l**2 + 102*l**2 - 9 - 2*l. Let r(t) = k(t) + 6*m(t). Factor r(d).
-(d + 4)**2
Suppose 3*p = 3 + 9. Suppose -d - p + 10 = 0. Solve 3*u - 3*u**3 + 2 + 4*u**3 - d*u**3 + 4*u**3 = 0.
-1, 2
Let u be (-27)/90 - 255/(-50). Let 6/5*n**4 + u*n - 12/5*n**2 + 6/5 - 48/5*n**3 + 24/5*n**5 = 0. What is n?
-1, -1/4, 1
Let i(q) be the third derivative of -q**5/60 + q**3/6 + 16*q**2. Let f(j) = -8*j - 10. Let g(r) = -2*f(r) - 4*i(r). Let g(u) = 0. Calculate u.
-2
Let a(n) be the second derivative of n**5/10 - 53*n**4/3 + 2809*n**3/3 - 589*n + 2. Let a(t) = 0. Calculate t.
0, 53
Find p, given that 14*p**5 + 470*p**4 - 22*p - 42*p - 16*p**2 + 48*p**3 - 442*p**4 + 0*p - 10*p**5 = 0.
-4, -2, 0, 1
Let v(g) = 4*g**2 - g + 6. Let w(u) = u**2. Let i(z) = v(z) - 5*w(z). Let i(k) = 0. What is k?
-3, 2
Let q be (-203)/145 - (-7 - -5). Suppose -q*k - 3/5*k**5 + 3/5 + 3/5*k**4 + 6/5*k**3 - 6/5*k**2 = 0. What is k?
-1, 1
Let d(y) be the first derivative of -y**3/6 - 49*y**2/4 + 25*y - 287. What is i in d(i) = 0?
-50, 1
Let t(v) be the first derivative of 4*v**6/3 - 18*v**5/5 + v**4 + 16*v**3/3 - 6*v**2 + 2*v - 15. Solve t(y) = 0.
-1, 1/4, 1
Let c(r) be the first derivative of -r**5/25 - 9*r**4/20 + 11*r**3/15 + 9*r**2/10 - 2*r - 27. Solve c(h) = 0 for h.
-10, -1, 1
Let w(t) be the first derivative of 1/8*t**2 + 1/2*t - 1/12*t**3 - 14. Solve w(f) = 0.
-1, 2
Let i(n) = -6*n**3 + 14*n**2 - 36*n + 20. Let b(r) = -r**3 - r - 1. Let y(t) = 4*b(t) - i(t). Let y(h) = 0. Calculate h.
2, 3
Let l be (-8)/6 + (-3 - -3) + (-92)/(-69). Find d, given that 2/5*d**3 + l + 6/5*d**2 + 4/5*d = 0.
-2, -1, 0
Let 56/11*g**2 + 10/11*g**3 + 28/11 - 94/11*g = 0. Calculate g.
-7, 2/5, 1
Let b(h) be the third derivative of -h**9/3024 - h**8/1680 + h**7/420 - 7*h**3/3 - 17*h**2. Let v(x) be the first derivative of b(x). Find k such that v(k) = 0.
-2, 0, 1
Let f be (-14)/(-5) + (-68)/85. Factor -3*a**3 - 9 - 3*a**3 - 33*a - 24*a**3 + 5*a**f - 9*a**4 - 51*a**2 - a**5.
-(a + 1)**3*(a + 3)**2
Let z(u) = 10*u**3 + 20*u**2 - 4*u - 20. Let p(k) = -41*k**3 - 81*k**2 + 15*k + 80. Let l(t) = -4*p(t) - 18*z(t). Factor l(o).
-4*(o - 1)*(o + 2)*(4*o + 5)
Let m(s) = s**2 + 3*s + 3. Let k be m(-3). Suppose -3*h**k + 7/3*h**2 + 0 - 1/3*h**5 - 2/3*h + 5/3*h**4 = 0. What is h?
0, 1, 2
Let b be (3600/840)/(((-2)/(-1))/84). Factor -b*h**5 - 3*h - 294*h**4 - 171*h**3 + 0 - 81/2*h**2.
-3*h*(2*h + 1)**3*(15*h + 2)/2
Let s = 63/46 + -13115/138. Let l = -93 - s. Factor -5/3*j + j**2 - l.
(j - 2)*(3*j + 1)/3
Find o, given that -52*o**4 - 6*o + 11*o + 2*o**5 + 2*o**5 - 112 + 110*o**3 - 412*o**2 + 110*o**3 + 347*o = 0.
1, 2, 7
Let k be -2*5/250*8. Let g = -22/225 - k. Factor -16/9*o - g*o**2 - 32/9.
-2*(o + 4)**2/9
Let v(y) be the third derivative of 9*y**2 + 0*y**6 - 1/24*y**