 - j*d - 4/3.
-(d + 1)*(d + 2)**2/3
Factor 2/15*m**2 + 32/15 + 16/15*m.
2*(m + 4)**2/15
Let k(y) be the first derivative of -2*y**3/3 - 4*y**2 - 8*y - 6. Factor k(d).
-2*(d + 2)**2
Let d = 5 + -3. Suppose z + 3 = -3*j + 1, -2*z - d = 5*j. Factor -10*i**z + i**2 - 3*i**2 + 14*i**3 - 2*i**2.
-2*i**2*(i - 1)*(5*i - 2)
Suppose a + 0*a + 3*s - 16 = 0, -5*a + 4*s = -42. Let p be 4/12 + a/6. What is r in 0 - 2/9*r**p + 0*r = 0?
0
Let g = -2497/3 - -790. Let s = g - -43. Solve 0*n - 2/3*n**2 + s = 0 for n.
-1, 1
Let u = 3 + -4. Let x be (u + 3)*(-1)/(-1). Let l(o) = -o**2 + 1. Let y(g) = -3*g**2 - g + 2. Let s(r) = x*l(r) - y(r). Factor s(b).
b*(b + 1)
Let j(x) be the second derivative of x**9/9450 - x**8/3360 + x**7/6300 - x**4/3 - 3*x. Let v(i) be the third derivative of j(i). Suppose v(p) = 0. What is p?
0, 1/4, 1
Find l such that 39*l**2 - 8*l**3 - 42 - 13*l**3 + 3*l**4 + 9*l + 0*l**4 - 12 = 0.
-1, 2, 3
Let c(h) be the first derivative of h**3/18 - h**2/12 - h/3 - 48. Let c(g) = 0. What is g?
-1, 2
Let b(f) be the third derivative of -1/360*f**6 + 1/72*f**4 + 0 - 1/315*f**7 + 0*f**3 + 2*f**2 + 0*f + 1/90*f**5. Factor b(s).
-s*(s - 1)*(s + 1)*(2*s + 1)/3
Suppose 0*l**3 + 4/7*l**4 + 0 + 0*l - 4/7*l**5 + 0*l**2 = 0. What is l?
0, 1
Solve -2/7*g**3 + 6/7*g**2 - 2/7*g**4 + 2/7*g - 4/7 = 0.
-2, -1, 1
Let x(b) be the second derivative of -b**5/140 - b**4/21 - 2*b**3/21 - 4*b. Factor x(j).
-j*(j + 2)**2/7
Let g(k) = -8*k**3 + 84*k**2 + 76*k - 32. Let u(q) = -q**3 + 1. Let f(z) = -g(z) - 8*u(z). Factor f(i).
4*(i - 6)*(i + 1)*(4*i - 1)
Let q(f) = f**3 + 5*f**2 - 7*f + 51. Let m be q(-7). Find g such that -2/5*g**4 + 6/5*g**3 + 4/5*g + 0 + m*g**2 - 2/5*g**5 = 0.
-1, 0, 2
Let z be 3/(-1) + 3 - -6. Suppose z*h = 2*h + 20. Factor -5*f**2 + 8*f - 7*f - 13*f**3 + 2 - 4*f**2 - h*f**4 + 0*f**4.
-(f + 1)**3*(5*f - 2)
Let a(x) be the third derivative of 1/42*x**4 - 4*x**2 + 0 + 1/245*x**7 + 0*x**3 - 1/60*x**6 + 5/1176*x**8 - 1/70*x**5 + 0*x. Solve a(g) = 0 for g.
-1, 0, 2/5, 1
Suppose -2*h + 8 = 5*i, -13 = i - 4*h + 3. Find t, given that 1/3*t**2 + 0 + i*t = 0.
0
Let a(v) be the second derivative of 1/48*v**4 + 1/12*v**3 + 0*v**2 + 0 + v. Suppose a(z) = 0. Calculate z.
-2, 0
Suppose 2*l - 4 = l. Let g be 2 + 2 + (-1)/1. Factor -b**4 - 4*b**l + b**2 + 4*b**4 - 3*b**3 + g*b**5.
b**2*(b - 1)*(b + 1)*(3*b - 1)
Let j(y) be the third derivative of 0*y**5 + 0*y**3 + 0*y - 1/27*y**4 + 0 + 1/540*y**6 + 7*y**2. Determine u so that j(u) = 0.
-2, 0, 2
Let v = -63/2 + 32. Let k(h) be the first derivative of -1/6*h**3 + v*h**2 - 1/2*h + 2. Factor k(z).
-(z - 1)**2/2
Factor -81*p**4 + 168*p**4 + 3*p**3 - 6*p + p**2 + p**3 - 86*p**4.
p*(p - 1)*(p + 2)*(p + 3)
Factor 2*v**5 - 6*v**3 - 1 + 1 + 14*v**2 - 10*v**2.
2*v**2*(v - 1)**2*(v + 2)
Let z be (-10)/(-35) - 506/(-42). Let u = z + -12. Solve 1/3*a + u - 1/3*a**3 - 1/3*a**2 = 0 for a.
-1, 1
Let b be -1 + -3*4/(-9). Factor 4/3*t + 4/3*t**3 + b + 1/3*t**4 + 2*t**2.
(t + 1)**4/3
Let a(j) = -j - 18. Let c be a(-18). Determine k, given that 2/7*k**2 + c + 2/7*k = 0.
-1, 0
Let n = 23 + -8. Let o be 6/14 + n/105. Determine f, given that 6/7*f**2 + 10/7*f - o = 0.
-2, 1/3
Factor -920*j**3 + 923*j**3 - 4*j**4 + j**4.
-3*j**3*(j - 1)
Let u(s) be the second derivative of -21*s**5/80 - s**4/8 + 7*s**3/8 + 3*s**2/4 - 6*s. Solve u(o) = 0.
-1, -2/7, 1
Let q(f) = -f + f**3 - f + 3*f - 1 - 5*f**2. Let a be q(5). Factor k**4 - 2 + 2*k**4 - k**a - 4*k**3 + 4*k.
2*(k - 1)**3*(k + 1)
Let w(m) = 2*m - 24. Let i be w(13). Factor 2/3*l**i - 2/3 + 1/3*l - 1/3*l**3.
-(l - 2)*(l - 1)*(l + 1)/3
Let n(g) be the first derivative of -1/9*g**3 + 6 - 3*g + g**2. Factor n(w).
-(w - 3)**2/3
Let k(t) be the second derivative of -t**4/84 - t**3/21 + t. What is m in k(m) = 0?
-2, 0
Let m be (-20)/35 - (-31)/42. Let p(k) be the second derivative of -1/5*k**5 - k + 0 - 1/9*k**6 - m*k**4 + 0*k**2 - 1/42*k**7 - 1/18*k**3. Solve p(q) = 0.
-1, -1/3, 0
Let r = -2/237 + 95/1896. Let z(y) be the second derivative of y + 1/4*y**3 + 0 - r*y**4 - 1/2*y**2. Suppose z(x) = 0. What is x?
1, 2
Let m(t) be the first derivative of t**3/18 - t**2/4 + t/3 - 8. Factor m(y).
(y - 2)*(y - 1)/6
Let n be 2*1/3*1. Let s be 12/(-72) + (-1)/(-6). Factor -4/3*u**4 - 2/3*u + 0*u**3 + 4/3*u**2 + s + n*u**5.
2*u*(u - 1)**3*(u + 1)/3
Let 1 + 1/2*r - 1/2*r**2 = 0. Calculate r.
-1, 2
Let l(m) be the first derivative of -m**7/1155 - m**6/330 + m**5/110 + m**4/33 - 4*m**3/33 + m**2 - 1. Let n(k) be the second derivative of l(k). Factor n(v).
-2*(v - 1)**2*(v + 2)**2/11
Let o(q) be the third derivative of q**8/20160 - q**7/1260 + q**6/180 + 3*q**5/20 - 9*q**2. Let i(v) be the third derivative of o(v). Factor i(c).
(c - 2)**2
Let k(u) be the first derivative of -1/9*u**4 + 2/9*u - 4/27*u**3 + 2/45*u**5 + 1/27*u**6 + 1/9*u**2 - 3. Let k(x) = 0. Calculate x.
-1, 1
Suppose 15 = 7*r + 1. Find n such that 21/2*n**r + 0 + 3*n**3 - 3*n - 21/2*n**4 = 0.
-1, 0, 2/7, 1
Let b(p) be the first derivative of 2*p**3/3 + 11*p**2 + 20*p - 32. Factor b(u).
2*(u + 1)*(u + 10)
Let d = 29 - 29. Let f(b) be the first derivative of d*b - 2/15*b**5 + 0*b**4 + 1/9*b**6 + 0*b**2 + 0*b**3 + 1. What is x in f(x) = 0?
0, 1
Factor -4*o - 7*o**4 - 11*o - 2*o**3 - 38*o**3 + 55*o**2 - 13*o**4.
-5*o*(o + 3)*(2*o - 1)**2
Determine o so that 128/5 + 32/5*o + 2/5*o**2 = 0.
-8
Let f be 0/(1 + -4 + 1). Let q(m) be the second derivative of 0*m**3 - 2*m + 1/18*m**4 + f + 0*m**2. Determine x so that q(x) = 0.
0
Let g = 252 + -1003/4. Solve 1/2*a**2 + 1/2 + g*a = 0 for a.
-2, -1/2
Let w(s) = s**5 + s**4 - s**3 - s**2 - s. Let v(u) = -3*u**5 - 2*u**4 + 4*u**3 + 2*u**2 + u. Let p(m) = v(m) + 2*w(m). What is i in p(i) = 0?
-1, 0, 1
Suppose z - 9 = -4*f, 4*f + 0*z - 3*z = 5. What is j in 2*j**4 - 20*j**2 - 17*j**3 + 8*j**5 - 2*j**f - 7*j - 7*j**3 + 3*j = 0?
-1, -1/4, 0, 2
Let j(b) be the first derivative of -3 + 20/9*b**3 - 5/3*b**2 - 5/3*b**4 + 2/3*b + 2/3*b**5 - 1/9*b**6. Factor j(o).
-2*(o - 1)**5/3
Let f(u) = u**2 - u + 1. Suppose 7*r = 8*r + 2. Let b(m) = -6*m**2 + 5*m - 6. Let a(h) = r*b(h) - 14*f(h). Solve a(d) = 0 for d.
1
Factor 0 + 3/8*w**2 - 3/8*w.
3*w*(w - 1)/8
Let c(h) be the second derivative of h**6/60 + h**5/20 - h**4/8 - h**3/3 + h**2 - 21*h. Factor c(x).
(x - 1)**2*(x + 2)**2/2
Let d(k) be the first derivative of 2*k**6/27 - k**5/15 - k**4/36 - 16. Factor d(f).
f**3*(f - 1)*(4*f + 1)/9
Let m(d) be the third derivative of d**5/60 + d**3/6 + 4*d**2. Let y be m(-1). Let 4/7 - 10/7*p**y - 6/7*p = 0. Calculate p.
-1, 2/5
Factor -2/7*y**3 + 0 + 2/7*y**4 - 2/7*y**2 + 2/7*y.
2*y*(y - 1)**2*(y + 1)/7
Let b be (-58)/(-7) - 12/42. Let o be (b/60)/(1/6). Factor 0 - 2/5*s**2 + o*s.
-2*s*(s - 2)/5
Let v(y) be the second derivative of -y**6/90 + y**5/30 + y**4/36 - y**3/9 + y - 1. Factor v(s).
-s*(s - 2)*(s - 1)*(s + 1)/3
Suppose -4*j + 0*j + 8 = 0. Factor -j + 0*f**2 - 2*f**3 + 2*f - 4*f**2 + 3*f**3 + 3*f.
(f - 2)*(f - 1)**2
Let h(b) be the first derivative of b**6/8 - 3*b**4/8 + 3*b**2/8 - 24. What is j in h(j) = 0?
-1, 0, 1
Let w = 19/2 + -167/18. Let o(c) be the first derivative of -w*c**3 + 1/3*c + 1 + 1/15*c**5 + 0*c**2 + 0*c**4. Solve o(v) = 0.
-1, 1
Let y(d) be the second derivative of -d**6/45 - 4*d**5/45 - 7*d**4/54 - 2*d**3/27 - 8*d. Factor y(m).
-2*m*(m + 1)**2*(3*m + 2)/9
Find m such that 1/5*m**3 - 1/5*m**5 - 1/5*m**4 + 1/5*m**2 + 0 + 0*m = 0.
-1, 0, 1
Let l(u) be the third derivative of u**10/226800 - u**9/30240 + u**8/10080 - u**7/7560 - u**5/30 + u**2. Let i(g) be the third derivative of l(g). Factor i(d).
2*d*(d - 1)**3/3
Let m(h) be the first derivative of -h**6/4 + 9*h**4/8 + h**3 - 2. Let m(x) = 0. Calculate x.
-1, 0, 2
Let q = 10 + -7. Let p(y) be the first derivative of 1/14*y**4 + 0*y**q - 1/7*y**2 - 2 + 0*y. Factor p(r).
2*r*(r - 1)*(r + 1)/7
Let o = -11 - -15. Suppose o = k + 2. Factor 1/2*b - k*b**2 + 0.
-b*(4*b - 1)/2
Determine p so that 24*p**2 - 78*p + 0*p - 9*p + 28 - 5*p = 0.
1/3, 7/2
Let a(g) be the second derivative of 3*g**5/80 - g**4/16 - g**3/8 + 3*g**2/8 + 6*g. Suppose a(i) = 0. Calculate i.
-1, 1
Let a(z) = z**5 + z**3. Let f(p) = -3*p**5 + 17*p**3 - 8*p**2 - 12*p + 8. Let d(c) = -a(c) + f(c). Let d(m) = 0. What is m?
-2, -1, 1
Let b(t) be the first derivative of -t**8/336 - t**7/120 - t**6/180 - t**3 - 3. L