 0.
2/5, 3
Suppose 1 = -8*m + 25. Let t(k) be the second derivative of -4*k**2 - 1/6*k**4 + 2*k + 4/3*k**m + 0. Determine j so that t(j) = 0.
2
Factor -6*i + 4 + 5 - 5 + 2*i**3 + 0.
2*(i - 1)**2*(i + 2)
Let w = 47 + -45. Let i(r) be the first derivative of -2/9*r**3 + 1 + 2/3*r + 0*r**w. Factor i(a).
-2*(a - 1)*(a + 1)/3
Let v be (7 - 1)*(-10)/(-15). Factor -5*o**2 - 5*o**3 + 5*o**3 - o**3 + 4*o**2 + 2*o**v.
o**2*(o - 1)*(2*o + 1)
Let x(y) be the first derivative of 4*y - 28/5*y**5 + 2*y**4 + 2*y**6 - 10*y**2 + 7 + 8*y**3. Find h, given that x(h) = 0.
-1, 1/3, 1
Let h = -293/59 - 41318/531. Let r = h + 83. Find y such that -2/9*y - r*y**3 + 4/9*y**2 + 0 = 0.
0, 1
Let v(p) be the second derivative of p**5/20 + 7*p**4/12 + 2*p**3 + 7*p**2/2 + 3*p. Let b(h) = -h**2 + 1. Let t(w) = b(w) + v(w). Determine c so that t(c) = 0.
-2
Let n(l) be the first derivative of -l**5/140 - l**4/21 - 5*l**3/42 - l**2/7 - 7*l - 1. Let p(c) be the first derivative of n(c). Factor p(x).
-(x + 1)**2*(x + 2)/7
Let f be 10/(-12) + (0 - (-6)/4). Factor 8/3 + 50/3*m**2 + 14/3*m**4 + 38/3*m**3 + f*m**5 + 32/3*m.
2*(m + 1)**3*(m + 2)**2/3
Suppose 0 + 2 = o. Let l(x) be the second derivative of 1/6*x**4 + 0 - o*x + 1/3*x**3 - 2*x**2. Let l(h) = 0. Calculate h.
-2, 1
Factor -5*k - 4*k**3 + 4*k**2 + 5*k**2 - 7*k + 7*k**3.
3*k*(k - 1)*(k + 4)
Let g be 12/(-10)*(-80)/24. Factor -3*m - 2*m**2 - 2 + 3*m + 0 + g*m.
-2*(m - 1)**2
Let 0 + 0*c**2 - 2/13*c**3 + 2/13*c = 0. Calculate c.
-1, 0, 1
Suppose 2*q - 3*x + 7 = 0, 4*q = x + 4*x - 9. Factor 6*p**3 - q*p**4 + 2*p**5 - 11*p**3 + 7*p**3.
2*p**3*(p - 1)**2
Let b(m) = -2*m - 7. Let l be b(-6). Suppose l - 5 + x**2 + x = 0. Calculate x.
-1, 0
Let n(j) be the second derivative of -j**8/20160 + j**4/6 - 6*j. Let s(g) be the third derivative of n(g). Let s(o) = 0. What is o?
0
Determine o, given that -2*o**4 + 4*o**4 + o**3 - 4*o + 2*o**5 + 4*o**4 - 6*o**2 + o**3 = 0.
-2, -1, 0, 1
Let s(a) = a + 11. Let c be s(-8). Suppose 2 - 4*i**3 + 3*i**2 + i + c*i**3 - 2*i**2 - 3 = 0. What is i?
-1, 1
Let y(f) = f**4 + f**3 + f**2 + f - 1. Let p(b) = 4*b**4 + 10*b**3 + 8*b**2 + 2*b - 6. Let q(z) = -p(z) + 6*y(z). Factor q(w).
2*w*(w - 2)*(w - 1)*(w + 1)
Suppose -2*r = -1 - 3. Find l, given that -2*l**r + l**3 + 0*l**2 + l**2 = 0.
0, 1
Factor 6/5*s**4 + 0 + 14/5*s**3 + 2/5*s + 2*s**2.
2*s*(s + 1)**2*(3*s + 1)/5
Let r(v) = 11*v**3 - 5*v**2 + 3*v - 9. Let y be r(7). Let f = 31934/9 - y. Solve -f*u**3 + 40/9*u**2 - 8/9*u + 20/3*u**4 + 0 - 2*u**5 = 0.
0, 2/3, 1
Let o be -1 + -3 - (-729)/180. Let k(n) be the second derivative of 1/15*n**6 + 0*n**2 + 0 + o*n**5 + 2*n + 0*n**3 + 0*n**4 + 1/42*n**7. Solve k(s) = 0 for s.
-1, 0
Let x = 222 - 219. Factor 2/7 - 2/7*m**2 + 2/7*m - 2/7*m**x.
-2*(m - 1)*(m + 1)**2/7
Let i be (1 - -1) + (-182)/96. Let h(o) be the second derivative of -1/4*o**2 + 7/24*o**3 - i*o**4 - o + 0. Factor h(c).
-(c - 1)*(5*c - 2)/4
Suppose 8/5*v + 0 + 0*v**2 - 2/5*v**4 - 6/5*v**3 = 0. Calculate v.
-2, 0, 1
Let u(w) be the third derivative of w**8/1512 - 2*w**7/315 + 7*w**6/270 - 8*w**5/135 + w**4/12 - 2*w**3/27 + 17*w**2. Suppose u(r) = 0. What is r?
1, 2
Let c(i) be the first derivative of 4/5*i**2 - 14/25*i**5 + 2 + 8/5*i + 13/5*i**4 - 18/5*i**3. Solve c(l) = 0 for l.
-2/7, 1, 2
Let q(g) be the first derivative of 0*g + 3 - 1/3*g**3 + 1/2*g**2. Solve q(y) = 0 for y.
0, 1
Determine f so that 0 - 1/2*f**2 + 0*f + 5*f**3 - 25/2*f**4 = 0.
0, 1/5
Let j(s) be the third derivative of -s**8/336 - s**7/35 - s**6/10 - 2*s**5/15 + 6*s**2. Determine i, given that j(i) = 0.
-2, 0
Let r(q) = q**2 + 3*q - 18. Let i be r(3). Let -1/4*b + 1/4*b**4 + 3/4*b**2 + i - 3/4*b**3 = 0. Calculate b.
0, 1
Let w(s) = -s**4 + 3*s**2. Let f(j) = -j**4 + 2*j**2. Let p(d) = 3*f(d) - 2*w(d). Factor p(o).
-o**4
Let q(h) be the second derivative of -h**6/10 + 3*h**5/10 + 3*h**4/4 - 2*h**3 - 6*h**2 - 36*h. Factor q(n).
-3*(n - 2)**2*(n + 1)**2
Let a(i) = 3*i**3 - 1 + 12*i**2 + 1 + 15*i + 1. Let o(w) = -15*w**3 - 60*w**2 - 75*w - 6. Let s(r) = -24*a(r) - 5*o(r). Find q, given that s(q) = 0.
-2, -1
Let t be (1 - (-8 + 5))/10. Factor 0 + 8/5*m**5 + 0*m + t*m**4 + 0*m**3 + 0*m**2.
2*m**4*(4*m + 1)/5
Suppose 5*n = -0*n + 30. Let l be n/4*(-3)/(-9). Factor -3/4*s**2 - 7/4*s - l.
-(s + 2)*(3*s + 1)/4
Let n = 59599/63 + -4302/7. Let j = n + -331. Find i such that -j*i**3 + 2/9 + 10/9*i**2 - 8/9*i = 0.
1/2, 1
Let f(j) be the third derivative of -2*j**5/15 + j**4/4 + j**3/3 + 4*j**2. Solve f(r) = 0 for r.
-1/4, 1
Let v = -11 - -15. Suppose v*t - 2*t - 4 = 0. Let 1/2*b + 0 - 1/2*b**t = 0. What is b?
0, 1
Suppose 0 = 2*u + 8 - 14. Let i be (-39)/(-18) - (-3)/6. Let 10/3*w**2 - 2/3*w**u - 16/3*w + i = 0. What is w?
1, 2
Suppose 3*z - 25 = -5*k, -k = 4*k - 5*z + 15. Suppose -u = k - 4. Suppose 0*y - 1/2*y**u + 1/2*y**3 + 0 = 0. Calculate y.
0, 1
Suppose 16*k - 17*k = -2. Determine z, given that 6/5*z**k + 3/5*z**3 + 3/5*z + 0 = 0.
-1, 0
Factor -12 + 18*w - 9*w**2 + 3/2*w**3.
3*(w - 2)**3/2
Let n(z) = -2*z**3 - 5*z**2 - 4*z + 1. Let k(u) = -u**3 - u**2 + u - 1. Let w = 11 + -16. Let r(f) = w*k(f) + n(f). Factor r(m).
3*(m - 1)**2*(m + 2)
Let d(f) be the third derivative of -f**5/60 + f**4/12 - 15*f**2. Factor d(b).
-b*(b - 2)
Let n(c) = -2*c**3 + 23*c**2 + 22*c + 5. Let s(h) = -3*h**3 + 24*h**2 + 21*h + 6. Let j(q) = 6*n(q) - 5*s(q). Determine x so that j(x) = 0.
-3, 0
Suppose -28 + 3 = -5*j. Suppose -2*v**5 - 12*v**4 + 5*v**j + 6 + 6*v**2 + 71*v**3 - 15*v - 59*v**3 = 0. Calculate v.
-1, 1, 2
Let w(g) be the first derivative of -g**4/4 + 7*g**3/3 - 15*g**2/2 + 9*g - 45. Factor w(h).
-(h - 3)**2*(h - 1)
Suppose 3*u - 34 + 4 = 0. Suppose 4*j - u + 2 = 0. Let 2/7*c**j + 0 + 0*c - 2/7*c**3 = 0. Calculate c.
0, 1
Solve 6*v**3 + 8*v - 4*v**3 - 4*v**3 - 6*v**3 - 4*v**2 + 4 = 0 for v.
-1, -1/2, 1
Let b(y) = -y + 2. Let i be b(-3). Determine d so that d**3 + 7*d**2 - i*d**2 - 5*d**2 = 0.
0, 3
Determine v so that 44 + 74 + 68 - 96 - 35*v - 5*v**2 = 0.
-9, 2
Let q(a) be the first derivative of -2 + 4/3*a + 1/6*a**4 + 0*a**3 - a**2. Let q(h) = 0. What is h?
-2, 1
Let l(a) be the second derivative of -1/60*a**5 + 0 - 5*a + 1/18*a**4 - 1/18*a**3 + 0*a**2. Determine f, given that l(f) = 0.
0, 1
Let j = -9 + 12. Factor 3*m**4 + 2*m**j + 0*m**4 + m**3.
3*m**3*(m + 1)
Let g(r) be the third derivative of r**8/1260 - r**7/630 - 5*r**3/3 - 9*r**2. Let t(y) be the first derivative of g(y). What is b in t(b) = 0?
0, 1
Suppose -7*g - 8 = -11*g. Let h(v) be the third derivative of g*v**2 + 0 + 0*v**5 + 0*v + 1/420*v**6 - 1/735*v**7 + 0*v**4 + 0*v**3. Factor h(u).
-2*u**3*(u - 1)/7
Let v(t) be the first derivative of 5*t**4/4 + 20*t**3 + 120*t**2 + 320*t - 23. Factor v(f).
5*(f + 4)**3
Let f be (12/(-1))/(-6 - -4). Let k(o) be the first derivative of -2/5*o**3 + 6/25*o**5 + 0*o - 1/5*o**2 - 1/10*o**4 + 1 + 2/15*o**f. Find h such that k(h) = 0.
-1, -1/2, 0, 1
Let x(r) be the second derivative of r**6/135 - r**5/18 + r**4/27 + 20*r**3/27 - 8*r**2/3 + 20*r. Factor x(a).
2*(a - 3)*(a - 2)**2*(a + 2)/9
Let 102*i**3 - 8 + 28*i**4 + 60*i**2 + 58*i - 107*i + 53*i - 26*i**3 = 0. What is i?
-1, 2/7
Let d = 54 + -32. Suppose -3 = -5*u - 2*s + 1, 4*s = 5*u - d. Suppose -3/5*k**u - 3/5*k**3 + 3/5 + 3/5*k = 0. What is k?
-1, 1
Suppose 0 = 5*m - 5*k + 10, 0 = -m + 3*k - k - 6. Let h(x) be the second derivative of -25/42*x**4 - 4/7*x**m - 2*x - 20/21*x**3 + 0. Factor h(b).
-2*(5*b + 2)**2/7
Suppose -4*t = -2*g - 16, -2*g = 2*t - 0*t - 2. Determine a so that -t*a**2 + 14*a**4 - 16*a**4 + 3*a**2 + 2*a**2 = 0.
-1, 0, 1
Suppose -7*y = -6*y - 2. Let k(v) be the third derivative of 1/24*v**3 + 1/48*v**4 + 1/240*v**5 + 0 - y*v**2 + 0*v. Factor k(o).
(o + 1)**2/4
Let x(w) be the first derivative of -w**6/6 - w**5/5 + w**4/4 + w**3/3 + 12. Factor x(g).
-g**2*(g - 1)*(g + 1)**2
Let p be -4 + (-40)/105*-12. Let -2/7*a**3 + 0 + 0*a + 0*a**2 - p*a**4 - 2/7*a**5 = 0. What is a?
-1, 0
Let t = -102 + 103. Factor -3/2*m + 0*m**2 + t + 1/2*m**3.
(m - 1)**2*(m + 2)/2
Factor 28*h + 54 + 10*h - 22 - 10*h - 4*h**2.
-4*(h - 8)*(h + 1)
Let v(o) = -16*o**5 + 18*o**4 + 20*o**3 + 7*o**2 - 7*o + 7. Let k(x) = -5*x**5 + 6*x**4 + 7*x**3 + 2*x**2 - 2*x + 2. Let d(a) = -7*k(a) + 2*v(a). Factor d(l).
3*l**3*(l - 3)*(l + 1)
Suppose -5*b - 99 = -34. Let a(o) =