0*o - o**4 + 0*o**3 + 0 + 1/3*o**5 + 0*o**2.
o**4*(o - 3)/3
Let o(u) be the third derivative of -u**7/105 - 3*u**6/80 - u**5/20 - u**4/48 + 12*u**2. Determine q so that o(q) = 0.
-1, -1/4, 0
Let w be ((-6)/(-30))/(1/1039). Let f = -207 + w. Factor f*x**3 + 0 + 2/5*x**2 + 2/5*x**4 + 0*x.
2*x**2*(x + 1)**2/5
Suppose -5*g - 4*b = -15, 3*g = 2*g - 4*b + 3. Suppose -4*s + 10*s**g + 10*s**2 + 6*s**3 - 2*s**3 = 0. What is s?
-1, 0, 2/7
Let c(t) be the second derivative of -1/135*t**6 + 1/54*t**4 + 1/27*t**3 + 0*t**2 + 0 - 1/90*t**5 - 4*t. Suppose c(u) = 0. What is u?
-1, 0, 1
Solve 2/3*q**3 + 0*q + 1/3*q**4 + 0*q**2 + 0 = 0.
-2, 0
Let g be (-25)/(-10)*(-4)/(-10). Solve -g - 3*n**3 + 2*n**4 - n + 5*n + n**2 - n - 2*n**2 = 0 for n.
-1, 1/2, 1
Let r(b) = 2*b**2 - 3*b - 5. Let z(s) = s**2 - 2*s - 3. Let p(y) = 3*r(y) - 5*z(y). Let m(h) = -5*h**2 - 12*h + 9. Let f(w) = -m(w) - 6*p(w). Factor f(j).
-(j - 3)**2
Let t(h) be the second derivative of h**4/42 - h**3/7 + 2*h**2/7 + h. Factor t(c).
2*(c - 2)*(c - 1)/7
Let m be 2/8 - (-45)/108. Let -2/3*o**2 - m + 4/3*o = 0. Calculate o.
1
Find w such that 1/5*w**3 - 4/5*w + 0*w**2 + 0 = 0.
-2, 0, 2
Let c be -3 - (3 + (-26)/4). Let u(r) be the first derivative of c*r**2 + 3 - 1/3*r**3 + 0*r. Factor u(s).
-s*(s - 1)
Let a(g) be the first derivative of 3 - 3/2*g**2 - 1/6*g**3 - 9/2*g. Determine m, given that a(m) = 0.
-3
Let j be (3/(-12) - -1)/(66/176). Determine f so that 27/5 - 18/5*f + 3/5*f**j = 0.
3
Let t be 18/(-24)*56/(-2). Let d = t + -61/3. Factor d + 2/3*c**2 - 4/3*c.
2*(c - 1)**2/3
Let k(i) be the first derivative of i**8/504 + i**7/210 - i**6/180 - i**5/45 + i**3/18 + 7*i**2/2 - 6. Let n(w) be the second derivative of k(w). Factor n(l).
(l - 1)*(l + 1)**3*(2*l - 1)/3
Let m = 5599/4 - 1320. Let z = -78 + m. Let -9/2*y**4 - 1/4 + z*y**2 - 3/4*y + 2*y**5 + 7/4*y**3 = 0. What is y?
-1/2, -1/4, 1
Let r(h) be the third derivative of -h**6/540 + h**5/270 + h**4/108 - h**3/27 - 5*h**2. Factor r(f).
-2*(f - 1)**2*(f + 1)/9
Let w(a) = 6*a**5 - 6*a**4 - 12*a**3 + 17*a**2 + 6*a - 11. Let r(g) = -9*g**5 + 9*g**4 + 18*g**3 - 25*g**2 - 9*g + 16. Let n(p) = 5*r(p) + 7*w(p). Factor n(b).
-3*(b - 1)**3*(b + 1)**2
Let w(t) = t + 5. Let l be w(-6). Let i be 0 - l/(-3)*0. Find a, given that -6*a**2 - 12*a**3 - 3*a - 8*a**4 + i*a + 2*a = 0.
-1/2, 0
Let 2*v + 4*v + 1 - 5*v - 2*v**2 = 0. What is v?
-1/2, 1
Let g(u) = -1330*u**3 + 1089*u**2 - 296*u + 28. Let s(h) = h**3 + h + 1. Let k(t) = -5*g(t) + 5*s(t). Factor k(y).
5*(11*y - 3)**3
Let j = -64 + 66. Solve 2/5*k - 2/5*k**j + 0 = 0 for k.
0, 1
Let x = 163/334 + 2/167. Find q, given that -x - 1/2*q**2 + q = 0.
1
Let w(f) be the third derivative of -f**6/1440 + f**5/480 - f**3/2 + 2*f**2. Let h(g) be the first derivative of w(g). Factor h(m).
-m*(m - 1)/4
Let g(m) = 2*m**2 + m**4 - 2 - m**2 + 3 + m - m**3. Let r = 13 - 12. Let l(z) = -4*z**4 + 6*z**3 - 6*z**2 - 6*z - 5. Let d(u) = r*l(u) + 5*g(u). Factor d(j).
j*(j - 1)*(j + 1)**2
Let c be 1*1/(1 - (-3)/(-4)). Suppose 4*q = 3*g - 21, q + q + 3 = -g. Factor 0*d + 3/2*d**g + d**2 + 0 - 5/2*d**c.
-d**2*(d - 1)*(5*d + 2)/2
Suppose w - 5*w = 20. Let n(k) = 12*k**3 + 14*k**2 - 2*k - 4. Let l(o) = 11*o**3 + 13*o**2 - 2*o - 4. Let m(j) = w*n(j) + 6*l(j). Factor m(b).
2*(b + 1)**2*(3*b - 2)
Let m be -1 - -4 - 3 - -2. Let a be 15/(-15)*m/(-3). Find l such that 5/3*l - 7/3*l**2 + a = 0.
-2/7, 1
Let h be (-6)/(-4)*(-2)/(-3). Let q = 2 + h. Factor i - i - i**q + i**2.
-i**2*(i - 1)
Let b(q) be the second derivative of -q**7/84 + q**6/60 + q**5/40 - q**4/24 - 7*q. Determine d, given that b(d) = 0.
-1, 0, 1
Factor -6/5 - 9/5*h + 3/5*h**3 + 0*h**2.
3*(h - 2)*(h + 1)**2/5
Let b be 3 - (93/(-12) + 1 + 3). Suppose 9*w**4 + 3/4*w + b*w**5 + 0 - 3/2*w**3 - 3*w**2 = 0. What is w?
-1, 0, 1/3
Factor 10 - 5*n + 14 - 19 - 5*n**2 + 5*n**3.
5*(n - 1)**2*(n + 1)
Let t(i) be the third derivative of i**6/30 - i**5/5 + i**4/2 - 2*i**3/3 - 4*i**2. Factor t(k).
4*(k - 1)**3
Let p = 525/236 - -3/118. Factor 0 + 3/4*u**4 - 3/4*u - p*u**3 + 9/4*u**2.
3*u*(u - 1)**3/4
Suppose u - 2*u + 3 = 0. Let i(j) be the second derivative of 0 + 1/15*j**u + 7/100*j**5 + 0*j**2 + 2*j + 3/20*j**4. Let i(v) = 0. What is v?
-1, -2/7, 0
Let n = 13/29 + -7/145. Factor n*b**3 + 0*b + 2/5*b**2 + 0.
2*b**2*(b + 1)/5
Let b = -4 - -4. Let j be (b - -2 - -2)*1. Solve j*d**3 - 4*d**2 - 2*d**3 - 4*d**3 = 0 for d.
-2, 0
Let p(c) be the third derivative of -2*c**2 - 4/3*c**3 + 0*c - 1/4*c**4 + 0 + 1/30*c**5. Factor p(z).
2*(z - 4)*(z + 1)
Let r(f) = f**3 - 8*f**2 + 4*f + 25. Let s be r(7). Factor 19/5*g**3 + 0 - 7/5*g**s - 8/5*g**2 - 4/5*g.
-g*(g - 2)*(g - 1)*(7*g + 2)/5
Let m(h) be the third derivative of h**8/60480 + h**5/20 - 2*h**2. Let f(w) be the third derivative of m(w). Factor f(i).
i**2/3
Suppose -3*a = -1 - 5. Solve -1 + 0 + 2 - o**a = 0 for o.
-1, 1
Let p be 203/44 + (-8)/32 - 4. Factor -2/11*r**3 + p*r**2 - 2/11*r + 0.
-2*r*(r - 1)**2/11
Determine g so that 2 - 2 + 0 - 3*g + g**2 + 2 = 0.
1, 2
Let l(j) be the third derivative of -2*j**2 + 0*j**3 - 1/48*j**4 + 0*j + 1/60*j**5 + 0. Find y, given that l(y) = 0.
0, 1/2
Let a(d) be the third derivative of 32*d**7/105 + 4*d**6/3 + 11*d**5/5 + 5*d**4/3 + 2*d**3/3 - 4*d**2. Let a(x) = 0. Calculate x.
-1, -1/4
Let j = 17 + -17. Let f(l) be the second derivative of -4/3*l**2 - 5/18*l**4 - 8/9*l**3 + j - 1/30*l**5 - l. Determine y, given that f(y) = 0.
-2, -1
Let j(m) = m + 2. Let v be j(3). Suppose 2*y = 5*y + v*o - 39, -4*y = -4*o - 20. Factor y*c**3 + 4/3*c - 10/3*c**4 - 6*c**2 + 0.
-2*c*(c - 1)**2*(5*c - 2)/3
Let y(r) be the second derivative of r**4/30 - 8*r**3/15 - 9*r**2/5 - 13*r. Factor y(a).
2*(a - 9)*(a + 1)/5
Factor 32/9 + 2/9*g**3 + 2*g**2 + 16/3*g.
2*(g + 1)*(g + 4)**2/9
Let t(a) = 12*a**5 - 28*a**4 + 39*a**3 - 26*a**2 - 5*a + 8. Let o(k) = 4*k**5 - 9*k**4 + 13*k**3 - 9*k**2 - 2*k + 3. Let f(s) = -8*o(s) + 3*t(s). Factor f(n).
n*(n - 1)**2*(2*n - 1)**2
Suppose 0 = -5*x + 15 - 0. Factor -3*u**2 + 11 + 3*u + x*u - 14.
-3*(u - 1)**2
Let y(n) be the second derivative of 2*n**6/15 + 2*n**5/5 + n**4/3 + 2*n. Factor y(a).
4*a**2*(a + 1)**2
Let r(w) be the first derivative of w**7/147 + 2*w**6/105 - w**4/21 - w**3/21 + 4*w + 1. Let m(x) be the first derivative of r(x). Determine u so that m(u) = 0.
-1, 0, 1
Let 5*x**2 + 1 + 8*x - 3*x**2 - 4 + 9 = 0. What is x?
-3, -1
Let w(v) = -v**3 - v**2 + v. Let t(a) = 9*a**4 - 37*a**3 + 25*a**2 - 7*a + 2. Let c(d) = 3*t(d) - 24*w(d). Solve c(j) = 0 for j.
2/9, 1
Let p(l) = l**2 + 2*l. Let y(k) = -k**2 + 34*k + 200. Let h(a) = 6*p(a) + 2*y(a). Factor h(z).
4*(z + 10)**2
Let n(b) = b**5 - 4*b**3 - 8*b**2 - 3*b - 2. Let f(t) = -t**3 + 1. Let z(y) = -4*f(y) - 2*n(y). Determine j so that z(j) = 0.
-1, 0, 3
Let i(p) = 3*p - 3. Let s be i(2). Solve d**2 + d - d**3 - d**2 + 0*d**s = 0 for d.
-1, 0, 1
Let k be 5 + 2/(-2) + 2. Let r = -42 - -45. Factor l**2 - 2*l**2 + k*l**r - 2*l**5 + 5*l**2.
-2*l**2*(l - 2)*(l + 1)**2
Let o = 7 + -4. Factor -4*q**2 + 2*q - q**3 - q**o + 4*q**3 + 0*q**2.
2*q*(q - 1)**2
Suppose -4*p + 8 + 0 = 0. Factor -4*a + 0*a - 2*a**p - 2 + 0.
-2*(a + 1)**2
Let n = -2 + 2. Suppose n*f + 2*f = -2. Let y(g) = 14*g**2 + 12*g - 2. Let m(p) = p**2 + p. Let j(h) = f*y(h) + 12*m(h). Factor j(q).
-2*(q - 1)*(q + 1)
Let c be (-2 + -3 - -5)/(-2). Factor -1/2*j**3 + c + j**2 + 0*j.
-j**2*(j - 2)/2
Suppose b = 4 - 0. Let f be (8 - b) + (-6)/3. Find j such that 3/4*j**f + 0 - 3/2*j = 0.
0, 2
Let i(c) be the second derivative of 7*c**5/150 + c**4/18 - 16*c**3/45 + 4*c**2/15 + 36*c. Factor i(x).
2*(x - 1)*(x + 2)*(7*x - 2)/15
Factor q**2 - 3*q - 6*q**2 + 2*q**2.
-3*q*(q + 1)
Suppose -w + 1 = -4. Let i(h) = 3*h**2 - 3*h. Let a(x) = -2*x**2 + 3*x. Let s(f) = w*i(f) + 6*a(f). Determine p so that s(p) = 0.
-1, 0
Factor 6*t**2 - 3/2*t**3 - 6*t + 0.
-3*t*(t - 2)**2/2
Let l(r) be the first derivative of r**3 + 3*r**2 + 3*r - 5. Find x, given that l(x) = 0.
-1
Let s(k) = -k**2 + 11*k + 12. Let o be s(12). Let m(b) be the second derivative of 1/3*b**2 + o + 1/6*b**3 + 1/36*b**4 - 2*b. Suppose m(r) = 0. Calculate r.
-2, -1
Let x(u) be the second derivative of -u**6/10 + 3*u**5/20 + 3*u**4/4 - 5*u**3/2 + 3*u**2 - 12*u. Factor x(k).
-3*(k - 1)**3*(k + 2)
Let c = -1027/5 + 207. Factor 2/5*b**3 - 2*b**2 - c + 16