u**5 + c*u**3 - 2/3*u = 0.
-1, 0, 1/4
Let p(c) be the third derivative of -1/105*c**7 + 0 - 1/3*c**3 + 3*c**2 - 1/12*c**6 + 0*c + 5/336*c**8 + 1/15*c**5 + 5/24*c**4. Find f, given that p(f) = 0.
-1, 2/5, 1
Let y(n) be the first derivative of -n**2/2 - 1. Let z be y(-3). Let 2*l**2 - 6*l**z + l**3 + 3*l**3 = 0. What is l?
0, 1
Let b = -64 - -385/6. Let n(v) be the third derivative of -1/240*v**5 + 0*v - v**2 + 0 - b*v**3 - 1/24*v**4. Factor n(j).
-(j + 2)**2/4
Let v(h) be the third derivative of 5*h**8/1008 - h**6/36 + 5*h**4/72 - h**2. What is n in v(n) = 0?
-1, 0, 1
Let d = 1 - -1. Let t be (0 + 1 + -1)/(-2). Determine c so that -2*c**3 + 0*c**2 + t*c**3 - d*c**2 = 0.
-1, 0
Let b(u) be the second derivative of u**7/42 + u**2/2 + 9*u. Let r(f) = -f**3 - 1. Suppose -5*m = -0*m - 5. Let w(s) = m*r(s) + b(s). Factor w(z).
z**3*(z - 1)*(z + 1)
Let u(x) be the first derivative of x**4/2 + 5*x**2 - 12*x - 1. Let m(s) = -s + 1. Let y(p) = 12*m(p) + u(p). Solve y(i) = 0 for i.
-1, 0, 1
Let l(z) be the third derivative of -3*z**2 + 1/20*z**6 - 1/3*z**3 + 0*z - 1/30*z**5 - 1/4*z**4 + 0 + 2/105*z**7. Suppose l(i) = 0. Calculate i.
-1, -1/2, 1
Let z(t) = -t**3 + 13*t**2 - 22*t + 2. Let k be z(2). Find g, given that -1/2*g**k + 0 + g = 0.
0, 2
Let g(s) = s**2 + 8*s - 6. Let r be g(-9). Let h(j) be the second derivative of -7/3*j**r + 3*j + 3/2*j**4 - 2*j**2 + 0. Factor h(x).
2*(x - 1)*(9*x + 2)
Let y(v) be the second derivative of v**7/420 - v**6/180 - v**3/6 + v. Let z(f) be the second derivative of y(f). Factor z(j).
2*j**2*(j - 1)
Suppose 0*o - 8 = -4*o. Let a(s) be the third derivative of 1/210*s**5 - 1/21*s**4 + 4/21*s**3 - s**o + 0 + 0*s. What is j in a(j) = 0?
2
Let -4/7*a**2 + 0 - 2/7*a + 0*a**3 + 4/7*a**4 + 2/7*a**5 = 0. Calculate a.
-1, 0, 1
Let c(d) be the first derivative of -d**7/105 + d**5/15 - d**3/3 - d**2 + 2. Let a(g) be the second derivative of c(g). Factor a(l).
-2*(l - 1)**2*(l + 1)**2
Let v(y) = -16 + 0*y - 4*y - y - 4*y**2. Let t(d) = d**2 + d + 4. Let c be (-2)/(0 - -1) + 8. Let f(g) = c*v(g) + 22*t(g). Suppose f(b) = 0. Calculate b.
-2
Factor -2*f**2 - 2/3*f**3 - 2/3 - 2*f.
-2*(f + 1)**3/3
Suppose -2*o = -10, 3*c - o + 5*o = 29. Solve 9/4*a**2 + 27/4 - 27/4*a - 1/4*a**c = 0 for a.
3
Let x(g) be the second derivative of g**7/3780 + g**4/6 + g. Let r(n) be the third derivative of x(n). Factor r(l).
2*l**2/3
Let a(p) be the third derivative of p**8/3360 - p**7/315 + p**6/72 - p**5/30 + 5*p**4/24 - 7*p**2. Let v(i) be the second derivative of a(i). Factor v(n).
2*(n - 2)*(n - 1)**2
Let d(k) be the third derivative of k**8/672 + k**7/105 + k**6/60 - k**5/60 - 5*k**4/48 - k**3/6 + 13*k**2. Find n such that d(n) = 0.
-2, -1, 1
Let v be (-7)/(-6)*(-32)/(-84). Factor -2/9 - 2/9*m**4 + v*m**2 + 0*m + 0*m**3.
-2*(m - 1)**2*(m + 1)**2/9
Suppose 0 = -3*i + 3*l - 27, -3*i + i = 5*l + 11. Let r be 6/9 + i/(-42). Factor r*f**2 - 8/7 + 2/7*f**3 + 0*f.
2*(f - 1)*(f + 2)**2/7
Let l(j) be the first derivative of 2*j**3/15 + j**2/5 - 4*j/5 - 8. Let l(a) = 0. What is a?
-2, 1
Let b be (0*(-4)/(-8))/(-1 + 0). Let h(i) be the first derivative of -1/5*i**5 + b*i**4 + 2/3*i**3 - i + 0*i**2 + 4. Factor h(o).
-(o - 1)**2*(o + 1)**2
Let h = -108/13 - -782/91. Factor -4/7*a**2 + 0 + 0*a + h*a**3.
2*a**2*(a - 2)/7
Let d(k) be the first derivative of -7*k**6/120 + k**5/12 + 2*k**4/3 + 2*k**3/3 - k**2 - 3. Let b(w) be the second derivative of d(w). Factor b(f).
-(f - 2)*(f + 1)*(7*f + 2)
Let w(k) be the first derivative of -k**6/60 + k**5/20 - 2*k + 3. Let a(x) be the first derivative of w(x). Suppose a(j) = 0. Calculate j.
0, 2
Let -4/7*a**4 + 4/7*a**3 + 2/7*a**2 + 2/7 + 1/7*a**5 - 5/7*a = 0. Calculate a.
-1, 1, 2
Let g(r) be the second derivative of -1/48*r**4 - 2*r + 0*r**5 + 1/120*r**6 + 0*r**2 + 0 + 0*r**3. Let g(v) = 0. Calculate v.
-1, 0, 1
Factor 3*h - 3 - 3/4*h**2.
-3*(h - 2)**2/4
Let f(k) be the first derivative of 0*k - 4/3*k**3 - 3 - k**2 - 1/2*k**4. What is q in f(q) = 0?
-1, 0
Let s(k) = 0*k**2 + 3 - 2 + k**2. Let a(c) = 8*c**2 - 12*c + 24. Suppose 4*l - 9 + 33 = 0. Let n(h) = l*s(h) + a(h). Find z, given that n(z) = 0.
3
Let q(n) = n**2 + 8*n + 5. Let g be q(-7). Let b(i) = i**2 + 4*i - 3. Let p(h) = 7 - 5*h - 2 - 1 - 2*h**2. Let v(k) = g*p(k) - 3*b(k). Factor v(t).
(t - 1)**2
Let l be ((-2)/(-4))/((-6)/(-4)). Factor 0 + 1/3*c + 1/3*c**4 - 1/3*c**3 - l*c**2.
c*(c - 1)**2*(c + 1)/3
Let p(q) be the third derivative of q**6/48 - q**5/15 + q**4/48 + q**3/6 + 2*q**2. Factor p(m).
(m - 1)**2*(5*m + 2)/2
Let q be (-12)/(-8)*20/6. Let v = -2 + q. Determine g so that 2/3*g**5 - 8/3 + 38/3*g**v + 32/3*g - 14/3*g**4 - 50/3*g**2 = 0.
1, 2
Let x be 14/8 + -2 + (-17)/(-4). Let 0*a + 0 + 2/3*a**2 - 2/3*a**5 + 2*a**x - 2*a**3 = 0. What is a?
0, 1
Factor 1/4*v**2 + 1/4*v + 0.
v*(v + 1)/4
Factor 6/5*v**2 - 9/5*v**3 + 3/5*v**5 + 0*v + 0*v**4 + 0.
3*v**2*(v - 1)**2*(v + 2)/5
Let x(j) be the first derivative of -2 + 0*j**2 - 1/7*j**4 - 2/35*j**5 + 0*j - 2/21*j**3. Factor x(v).
-2*v**2*(v + 1)**2/7
Let l be ((-14)/(-161))/((-20)/(-62)). Let s = l + 3/23. Factor -4/5*f + s*f**2 + 0.
2*f*(f - 2)/5
Let n(r) be the first derivative of r**6/2 - 3*r**5 + 27*r**4/4 - 7*r**3 + 3*r**2 - 2. Factor n(a).
3*a*(a - 2)*(a - 1)**3
Let x(h) be the first derivative of -h**5/5 - h**4 + h**3/3 + 2*h**2 + 8. Suppose x(n) = 0. What is n?
-4, -1, 0, 1
Let o(w) be the first derivative of w**4/2 + 4*w**3 + 12*w**2 + 16*w - 5. Factor o(x).
2*(x + 2)**3
Suppose 4*v + 3*h = -37, 0 = 4*v - 0*v - 4*h + 16. Let q be (v/3 - -2)*-1. Factor 0 + 0*w + q*w**2.
w**2/3
Let x(z) be the first derivative of -3*z**2/2 + 2. Let f be x(-1). Factor 24*a**4 + a**5 - 2*a**f - 24*a**4 + a.
a*(a - 1)**2*(a + 1)**2
Let v(o) be the first derivative of -o**3/3 - o**2 + 1. Let q(w) = -6*w**2 - 9*w. Let d(h) = -4*q(h) + 21*v(h). Suppose d(n) = 0. What is n?
0, 2
Let j(y) be the third derivative of y**6/660 + y**5/330 + 9*y**2. Factor j(v).
2*v**2*(v + 1)/11
Let n(i) = -i**2 - i. Let w(f) = 2*f**3 + 2*f**2 - 2*f. Let o(m) = 2*n(m) - w(m). Solve o(y) = 0.
-2, 0
Let s be 42/105*(1 - 1/6). Find m such that 1/3*m**2 + 1/3*m**3 - 1/3*m - s = 0.
-1, 1
Let i(f) be the second derivative of -f**7/5040 + f**5/720 + f**3/2 - 4*f. Let k(x) be the second derivative of i(x). Factor k(s).
-s*(s - 1)*(s + 1)/6
Let h(n) be the second derivative of n**4/12 - 4*n**3/3 + 8*n**2 + 2*n + 12. Let h(s) = 0. Calculate s.
4
Let y(a) be the first derivative of 1/3*a**3 - 1/5*a**5 + 1 + 0*a + 0*a**2 + 0*a**4. Factor y(o).
-o**2*(o - 1)*(o + 1)
Factor -4*l**2 + 8*l + 4*l**3 + l**2 - 17*l - 2.
(l - 2)*(l + 1)*(4*l + 1)
Suppose -3*t = 5*m - 8, 3*t + 0*m - 38 = m. Suppose -t = v - 3*g, 0 = v + v + 4*g - 28. Factor 2*s**3 + 1 + 23*s**4 - 2*s - 1 - 25*s**v + 2*s**2.
-2*s*(s - 1)**2*(s + 1)
Let z(u) be the third derivative of -u**7/42 + 7*u**6/30 - 11*u**5/20 + u**4/12 + 4*u**3/3 + 12*u**2. Factor z(l).
-(l - 4)*(l - 1)**2*(5*l + 2)
Let o(d) be the second derivative of d**4/4 + 3*d**3/2 - 6*d**2 - 39*d. Factor o(r).
3*(r - 1)*(r + 4)
Let r be (-2)/(-5) - 2/5. Find u, given that -2/3*u**4 + r*u + 0*u**2 + 0*u**3 + 2/3*u**5 + 0 = 0.
0, 1
Let r(w) = -2*w - 1. Let l be r(-7). Let k(o) = -3*o**3 + 3*o**2 - 6*o - 6. Let f(u) = 7*u**3 - 6*u**2 + 13*u + 13. Let c(g) = l*k(g) + 6*f(g). Solve c(j) = 0.
-1, 0
Suppose 4*j + 16 = 0, -5*j + 0*j = h + 20. Suppose -5*y + 0*y = h. Determine b so that y*b**5 + 4*b**4 - b**3 + b**5 + 0*b**3 - 5*b**4 + b**2 = 0.
-1, 0, 1
Factor -8*q**2 + 15*q**5 + 60*q**3 + 3*q**3 - 51*q**4 - 25*q**2 + 6*q.
3*q*(q - 1)**3*(5*q - 2)
Let b = -71/39 + 93/13. Let 8/3*d**2 - b*d**4 + 16/3*d**3 + 4/3*d**5 - 20/3*d + 8/3 = 0. Calculate d.
-1, 1, 2
Let y(k) be the third derivative of 2*k**2 + 0*k**4 + 0*k + 0 + 1/540*k**6 + 1/90*k**5 + 2/3*k**3. Let c(x) be the first derivative of y(x). Factor c(w).
2*w*(w + 2)/3
Let w(z) be the third derivative of -z**10/604800 - z**5/60 + 3*z**2. Let n(j) be the third derivative of w(j). Find b such that n(b) = 0.
0
Let w = 174 - 171. Determine y so that 4/7*y**w - 2/7*y - 2/7*y**2 + 0 = 0.
-1/2, 0, 1
Suppose a + 110 = 2*a. Let x be (8/(-6))/(a/(-99)). Find u, given that x*u - 4/5 + 2*u**2 = 0.
-1, 2/5
Let b(l) = 4*l**3 + 7*l**2 + 25*l - 36. Suppose -11 = 2*z - 63. Let t(h) = h**3 + 2*h**2 + 6*h - 9. Let o(a) = 