)
Determine u so that 1 - 3 - 2*u**2 - 4*u - 2 + u**2 = 0.
-2
Let v = -14319/16 + 83863/144. Let f = v + 313. Factor 2/9*i**2 - f - 2/9*i.
2*(i - 2)*(i + 1)/9
Let -12*u**4 + 3*u**4 - 4*u**2 + 8*u**2 + 8*u**2 + 3*u**5 = 0. What is u?
-1, 0, 2
Let s(q) = -q + 3. Let i be s(3). Suppose -n = 4*n + o - 13, i = -2*n - 3*o + 13. Factor -2/7*l**n - 4/7 + 6/7*l.
-2*(l - 2)*(l - 1)/7
Let n(u) = -4*u**2 + u + 4. Let r be n(2). Let d be (-26)/r - 4/(-10). Factor -2/11*y**d + 0 + 0*y + 2/11*y**2.
-2*y**2*(y - 1)/11
Suppose -u + 0*u = -2. Let t(l) be the first derivative of 0*l - 2/35*l**5 - 1 - 1/14*l**4 + 1/7*l**u + 2/21*l**3. Solve t(b) = 0.
-1, 0, 1
What is r in -6*r + 47*r**3 - 2*r - 49*r**3 - 8*r**2 = 0?
-2, 0
Let j(s) = -4*s**2 - 3*s - 1. Let i be j(-5). Let g be 3/(-12) - i/24. Suppose 0*n**2 - 5/3*n + n**5 - 2/3 + g*n**4 + 10/3*n**3 = 0. Calculate n.
-1, 2/3
Let y = -7907/11 + 719. Factor -2/11*a**4 - y*a**3 + 0*a + 0*a**2 + 0.
-2*a**3*(a + 1)/11
Let d be ((-19)/(-19))/(1 + 0). Let p be (2 - d)/((-21)/(-49)). Factor -1/6*q**5 + 1/3 + q**4 - p*q**3 - 3/2*q + 8/3*q**2.
-(q - 2)*(q - 1)**4/6
Let l(m) = -m**2 - 8*m - 9. Let x be l(-6). Factor 2*y**x - y**3 - 2*y**3.
-y**3
Suppose 3/2*h**2 + 3*h + 3/2 = 0. What is h?
-1
Let y = 3260/11 - 296. Solve 2/11 + 2/11*q - y*q**2 = 0.
-1/2, 1
Let p be ((-17)/(-6))/((-5)/(-15)). Let v = -8 + p. Factor 0*u**2 + v*u**3 - 1/4 + 1/4*u**4 - 1/2*u.
(u - 1)*(u + 1)**3/4
Let n be ((-121)/11 - -9)*(-3)/2. Factor 0 + s**n + 1/2*s**4 + 1/2*s**2 + 0*s.
s**2*(s + 1)**2/2
Let b(n) be the third derivative of 1/140*n**7 + 0*n**5 + 3/160*n**6 + 0*n**4 + 0*n + 0*n**3 + 0 + 1/1344*n**8 - 3*n**2. Factor b(m).
m**3*(m + 3)**2/4
Let q be (-2 + 3)/((-3)/(-6)). Solve q + j + j**2 + 2*j + j + j**2 = 0.
-1
Factor -2*o + 15*o**2 + 11*o + o - 5.
5*(o + 1)*(3*o - 1)
Let y(k) be the first derivative of -k**5 + 25*k**4/4 - 20*k**3/3 - 12. What is t in y(t) = 0?
0, 1, 4
Suppose 0 - 3/5*q**3 + 6/5*q**2 + 9/5*q = 0. Calculate q.
-1, 0, 3
Let k = 1 + 6. Let o be (8/k)/(0 + 2). Let -o*x**2 + 0 + 2/7*x + 2/7*x**3 = 0. What is x?
0, 1
Factor 2/11*l**2 + 0*l + 0.
2*l**2/11
Let p = 1112 - 106751/96. Let i(r) be the third derivative of -2*r**2 - p*r**4 + 0*r + 0*r**3 + 0 + 1/240*r**5. Factor i(d).
d*(d - 1)/4
Let b(o) be the first derivative of 5*o**3/3 - 5*o**2/2 - 10*o - 26. Determine t, given that b(t) = 0.
-1, 2
Let h(a) = a + 14. Let o be h(-10). Find z, given that z**3 - 4*z**o + z**4 + 2*z**3 = 0.
0, 1
Factor 0 - 2/11*g**3 + 2/11*g + 0*g**2.
-2*g*(g - 1)*(g + 1)/11
Let h(x) be the first derivative of -x**8/168 + x**7/105 - 5*x**2/2 + 6. Let t(p) be the second derivative of h(p). Factor t(m).
-2*m**4*(m - 1)
Suppose 2*g - 3*k - 14 = g, -2*g - 3*k - 8 = 0. Suppose -2/7*l**g + 2/7 - 2/7*l**3 + 2/7*l = 0. What is l?
-1, 1
Let m(b) be the third derivative of b**7/840 + b**3/2 + 2*b**2. Let w(c) be the first derivative of m(c). Let w(p) = 0. What is p?
0
Let g(t) be the third derivative of 1/280*t**6 + 1/140*t**5 - 1/28*t**4 + 0 + 3*t**2 + 0*t**3 + 0*t. Determine y, given that g(y) = 0.
-2, 0, 1
Suppose -4*b + 10 + 2 = 0. Let 9*p**4 + 0*p**5 + 3*p**5 + 3*p**b + 6*p**3 + 3*p**2 = 0. What is p?
-1, 0
Solve -v**4 - 77*v**3 - 2*v**2 - v**4 + 73*v**3 = 0 for v.
-1, 0
Factor 3/7 - 3/7*i**2 + 0*i.
-3*(i - 1)*(i + 1)/7
Let f be ((-3)/(-3) - 32/11) + 3. Factor -2/11*a**2 - f*a - 18/11.
-2*(a + 3)**2/11
Let y(l) = 5*l**3 + 7*l**2 - 1. Let s = -24 + 23. Let i(j) = -j**3 - j**2 - 1. Let w(u) = s*y(u) - i(u). What is m in w(m) = 0?
-1, 1/2
Suppose -5*x + 138 = 123. Let -3/2*h**4 - 9/2*h**2 + 0 - 3/2*h - 9/2*h**x = 0. Calculate h.
-1, 0
Let j(k) be the third derivative of k**5/210 + 5*k**4/168 + k**3/21 - 8*k**2. Factor j(s).
(s + 2)*(2*s + 1)/7
Determine n so that -23 - 891*n**3 - 32*n + 28*n**2 - 41 + 887*n**3 = 0.
-1, 4
Factor 24*j - 216 - 2/3*j**2.
-2*(j - 18)**2/3
Suppose -i = i - 4. Let m be 9/3 - (i + -4). Suppose -4*k**4 + 2*k**3 + 2*k**m + 0*k**5 + 1 - 1 = 0. Calculate k.
0, 1
Let x(d) be the second derivative of -d**7/120 + d**6/120 + d**4/6 + d. Let w(j) be the third derivative of x(j). Factor w(f).
-3*f*(7*f - 2)
Let r = 1/27 + 71/270. Let z(w) be the third derivative of -1/6*w**4 - 1/4*w**6 + 0 + 0*w**3 - 1/56*w**8 + 11/105*w**7 + r*w**5 - 2*w**2 + 0*w. Solve z(o) = 0.
0, 2/3, 1
Let j(f) be the second derivative of 1/120*f**6 + 6*f + 0*f**3 - 1/16*f**4 - 1/40*f**5 + 0*f**2 + 0. Factor j(q).
q**2*(q - 3)*(q + 1)/4
Let p be (-2)/(-6) + (-3)/9. Determine b, given that b**2 + 1 + p - 2 = 0.
-1, 1
Let u = 4 - 8. Let r = u - -7. Factor -16*p**4 + 4*p + 0*p**2 - 9*p**2 + 24*p**r - 3*p.
-p*(p - 1)*(4*p - 1)**2
Let i(b) = 21*b**3 - 20*b**2 + 21*b - 11. Suppose 5*u - 7 - 3 = 0. Let j(c) = 4*c**3 - 4*c**2 + 4*c - 2. Let n(r) = u*i(r) - 11*j(r). Find h such that n(h) = 0.
0, 1
Let p = -12 + 14. Solve x**5 - 2*x**4 - x - x**2 + 4*x**p - x**2 = 0.
-1, 0, 1
Let f(d) be the second derivative of 0*d**2 + 1/8*d**5 - 4*d + 1/6*d**4 - 1/20*d**6 + 0 - 1/3*d**3. Factor f(w).
-w*(w - 2)*(w + 1)*(3*w - 2)/2
Let d(u) be the third derivative of 0*u + 3*u**2 + 0 - 1/150*u**5 + 0*u**4 + 1/15*u**3. Solve d(g) = 0 for g.
-1, 1
Factor 3/5*w + 1/5*w**2 + 2/5.
(w + 1)*(w + 2)/5
Let y(p) be the second derivative of p**9/37800 + p**8/8400 + p**7/6300 + p**4/12 + 2*p. Let k(g) be the third derivative of y(g). Factor k(n).
2*n**2*(n + 1)**2/5
Let l(h) be the first derivative of -2*h**3/39 - h**2/13 + 4*h/13 - 39. Factor l(w).
-2*(w - 1)*(w + 2)/13
Factor 3/4*s**2 - 1/2 - 1/4*s - 1/4*s**4 + 1/4*s**3.
-(s - 2)*(s - 1)*(s + 1)**2/4
Let f(i) = -i**3 + 8*i**2 + i - 4. Let o be f(8). Let -9 + j**4 - 45*j - 18 + 9*j - 4*j**o + 12*j**3 + 6*j**2 = 0. Calculate j.
-1, 3
Let x = -30/17 + 364/187. Factor -x*a**2 + 0 + 2/11*a.
-2*a*(a - 1)/11
Let x be (-1)/5 - (-72)/160. Suppose -1/4 + 1/4*n - x*n**3 + 1/4*n**2 = 0. What is n?
-1, 1
Let p = -36 - -17. Let t = p + 39/2. Let 9/2*i + 8*i**3 + t + 12*i**2 = 0. Calculate i.
-1, -1/4
Let o be 18/8*(-8)/(-3). Let m be ((-4)/o)/(4/(-30)). Factor m - 5 + 3*y - 5*y**2 + 2.
-(y - 1)*(5*y + 2)
Let h(v) = 5*v**2 - v - 2. Let f(a) be the first derivative of 16*a**3/3 - a**2 - 7*a - 6. Let o(l) = 2*f(l) - 7*h(l). Suppose o(j) = 0. What is j?
0, 1
Factor 0 - 4/15*f + 2/15*f**2.
2*f*(f - 2)/15
Let d(j) be the first derivative of -3*j + 2/5*j**2 + 1/30*j**4 + 1/5*j**3 + 4. Let n(m) be the first derivative of d(m). Find y, given that n(y) = 0.
-2, -1
Let t = 13 + -10. Let h be (-3 + t - 0) + 2. Suppose 2*i + i + 9*i**3 - 6*i**3 - 6*i**h = 0. Calculate i.
0, 1
Let u(w) = -w**3 + 13*w**2 - 13*w + 15. Let y be u(12). Find a such that -10*a**3 + 0*a**y - 3*a**5 - 5*a**2 - 3*a - 8*a**3 - 7*a**2 - 12*a**4 = 0.
-1, 0
Let t(z) = z**2 + 2*z + 2. Let d be t(0). Factor r**d + 0 + 1/2*r**3 + 1/2*r.
r*(r + 1)**2/2
Let a be (-4)/16*-6*10. Suppose 0 = -4*q + a + 5. Factor 2/3*z**q + 0*z**2 + 2/3*z**3 + 0 + 4/3*z**4 + 0*z.
2*z**3*(z + 1)**2/3
Let q(d) be the first derivative of d**5/5 - d**4/2 + d**3/3 - 1. Let q(a) = 0. What is a?
0, 1
Let g(h) be the second derivative of -h**5 + 8*h**4/3 - 2*h**3/3 - 4*h**2 - 21*h. Factor g(f).
-4*(f - 1)**2*(5*f + 2)
Let t be (-10)/4*2*(-21)/30. Factor -19/2*i**3 + t*i**4 + 2 - 8*i - 1/2*i**5 + 25/2*i**2.
-(i - 2)**2*(i - 1)**3/2
Let -32 - 7*n + 21*n**3 - 41*n + 15*n**2 + 44 = 0. What is n?
-2, 2/7, 1
Let o(u) = -5*u**3 - 13*u**2 + 5*u + 4. Let q(r) = -r**3 - 3*r**2 + r + 1. Suppose -4*t + 3 = -t. Suppose -t = v - 3. Let i(z) = v*o(z) - 9*q(z). Factor i(w).
-(w - 1)**2*(w + 1)
Let l(r) = r**2 + 8*r + 12. Let f be l(10). Suppose 3 - 48*k + 12*k - f*k**3 + 239*k**2 - 95*k**2 = 0. What is k?
1/4
Factor -2/5*l**3 + 1/5*l**2 + 1/5*l**4 + 0*l + 0.
l**2*(l - 1)**2/5
Let i(l) be the first derivative of l**6/30 - 3*l**4/20 - 2*l**3/15 - 8. What is p in i(p) = 0?
-1, 0, 2
Suppose 5*i = 2*i. Suppose 5*d + 2*d = i. Solve d + 0*r**4 - 4/3*r**3 + 0*r**2 + 2/3*r + 2/3*r**5 = 0 for r.
-1, 0, 1
Let q(t) = 3*t + 12. Let s be q(-3). Solve 9/2*a - 3/2*a**2 - s = 0.
1, 2
Let p be 33/11 + -2 + -1. Let c = 18/13 - 136/117. Factor 2/9*h**4 + p*h**2 + 0 + c*h**3 + 0*h.
2*h**3*(h + 1)/9
Factor 0*d - d**3 - 2/3*d**2 + 0 - 1/3*d**4.
-d**2*(d + 1)*(d + 2)/3
Let m = -151 - -1511/10. Let n(l) be the second derivative of -1/3*l**3 + 0 + l**2 + m*l**5 - l - 1/6*l**4. Determine 