e of 0 + 0*f**2 - 1/10*f**5 + 2*f + 1/4*f**4 - 1/6*f**q. Find j, given that c(j) = 0.
0, 1/2, 1
What is w in w**3 + 4*w**3 - 3*w**3 + 6*w + 14*w**2 - 32 + 10*w = 0?
-4, 1
Let q = 94/3 - 31. Let z(x) be the second derivative of 1/60*x**6 - 1/10*x**5 + 0 + 1/4*x**4 - 2*x + 1/4*x**2 - q*x**3. Solve z(m) = 0.
1
Let o(q) be the first derivative of -3*q**5/20 - 3*q**4/4 - q**3 - 9. Factor o(g).
-3*g**2*(g + 2)**2/4
Let h(w) = w**4 + w**3 + 2*w**2 + 2*w - 2. Let r(q) = -6*q**4 - 6*q**3 - 15*q**2 - 15*q + 15. Let y(t) = -15*h(t) - 2*r(t). Factor y(o).
-3*o**3*(o + 1)
Factor 2*l**4 - 20/3*l**3 + 2/3 - 4*l + 8*l**2.
2*(l - 1)**3*(3*l - 1)/3
Let v be 1/(-3) + 35/15. Factor 2*m**2 - 2*m**3 + 2*m**2 - v*m**2.
-2*m**2*(m - 1)
Solve -3/2*a**3 - 6*a + 6*a**2 + 0 = 0.
0, 2
Let w(h) be the second derivative of -5*h**7/18 - 23*h**6/18 - 13*h**5/12 + 95*h**4/36 + 50*h**3/9 + 10*h**2/3 + 25*h. Let w(j) = 0. Calculate j.
-2, -1, -2/7, 1
Let -6/7 + 2/7*b**2 - 4/7*b = 0. What is b?
-1, 3
Let i = 7/2 - 11/4. Determine t, given that 3/4*t - i*t**2 + 0 = 0.
0, 1
Let m(x) = 8 + x**2 - 3*x**2 + 0*x**2 + x**2. Let k be m(0). Factor -22*z**3 + 8*z**4 + 45*z**5 + k*z + 5*z**5 - 47*z**4 + 24*z**2 - 21*z**4.
2*z*(z - 1)**2*(5*z + 2)**2
Factor 0 - 2/7*a**4 + 0*a + 2/7*a**2 + 0*a**3.
-2*a**2*(a - 1)*(a + 1)/7
Let t(w) be the second derivative of 0 + 2/3*w**2 + 1/2*w**4 + 7/9*w**3 + 1/6*w**5 + 1/45*w**6 - w. What is j in t(j) = 0?
-2, -1
Let n(r) = -4*r**3 - 7*r**2 - 15*r - 6. Let a(z) = z**3 - 1. Let q(w) = -6*a(w) - 2*n(w). Find c, given that q(c) = 0.
-3, -1
Suppose -2*q + 0 = -10. Let a be -3*(16/12)/(-2). Factor -4*n**a - q*n**3 - 15*n**3 + 6*n**3.
-2*n**2*(7*n + 2)
Let f = -931 - -934. Factor 76/13*b**2 + 88/13*b + 18/13*b**f + 16/13.
2*(b + 2)**2*(9*b + 2)/13
Let k be (0 + -1)*(-2 + 3). Let m = 5 + k. Determine p, given that -18*p**3 - 2*p - 5*p**m + 86*p**3 - 47*p**4 + 4 - 32*p**2 + 14*p**5 = 0.
-2/7, 1
Let v(q) = -2*q**3 + 4*q**2 - 6*q + 2. Let z(k) = 2*k**3 - 3*k**2 + 6*k - 2. Let f be ((-9)/12)/(2/8). Let b(n) = f*v(n) - 2*z(n). What is m in b(m) = 0?
1
Let s = 47/21 - 11/7. Factor 2/3*u**2 + 0*u + 2/3*u**3 + 0 - s*u**5 - 2/3*u**4.
-2*u**2*(u - 1)*(u + 1)**2/3
Let 24*b**2 - 3*b**3 - 10*b**3 - 4*b**2 - 7*b**3 + 5*b**4 = 0. Calculate b.
0, 2
Let n(y) = y**2 + 1. Let u be -4 + 1 + 3 + 3. Let l(i) = -15*i**2 + 8*i. Let q(j) = u*n(j) - 3*l(j). Factor q(o).
3*(4*o - 1)**2
Suppose -5*y + 30 = -x, 30 = 5*y + 8*x - 4*x. Let n be (-1 + -5)/(y/(-4)). Let 1/4*o + 3/4*o**3 - 3/4*o**2 + 0 - 1/4*o**n = 0. What is o?
0, 1
Suppose 0 = -0*d - d + 4. Factor d*s**3 + 2*s - 5*s**3 + 0*s**2 - s**2.
-s*(s - 1)*(s + 2)
Let f = -411/320 - -13/10. Let x = 125/192 + f. Find n such that 0*n + x*n**2 + 0 + 2/3*n**4 + 4/3*n**3 = 0.
-1, 0
Let k(h) be the first derivative of -h**6/24 - h**5/20 + 3*h**4/16 + 5*h**3/12 + h**2/4 + 2. Factor k(l).
-l*(l - 2)*(l + 1)**3/4
Let s(d) be the third derivative of d**8/2240 - d**6/240 - 5*d**4/24 - d**2. Let u(c) be the second derivative of s(c). Solve u(y) = 0.
-1, 0, 1
Let c(g) = g**2 - 6*g + 3. Let n be c(5). Let q(x) = -2*x. Let d be q(n). Factor -28*f**3 - 4 + 12*f**2 + 28*f - 6*f**2 - 51*f**2 + 49*f**d.
(f - 1)*(f + 1)*(7*f - 2)**2
Let -4/11*x**2 + 0 - 2/11*x**3 - 2/11*x = 0. What is x?
-1, 0
Let w be (-2)/(-7) + (-23)/7. Let x be 6/(-4)*8/w. Factor 29*n**3 + 7*n**3 - 7*n**x - 4*n**3 - 7*n**4 + 4*n - 22*n**2.
-2*n*(n - 1)**2*(7*n - 2)
Let r be (-12)/(-102) + 32/17. Factor 0 - 2/7*q**r + 4/7*q.
-2*q*(q - 2)/7
Let x(j) = -19*j**2 - 19*j + 5. Let l(v) = -5*v**2 - 5*v + 1. Let o(n) = -22*l(n) + 6*x(n). Determine w, given that o(w) = 0.
-2, 1
Suppose -10*d = -13*d + 9. Let o(j) be the first derivative of 0*j + 1 - 1/3*j**d + 1/2*j**2. Factor o(l).
-l*(l - 1)
Determine y so that 3/2*y**3 + 0 + 0*y**2 - 3/4*y + 0*y**4 - 3/4*y**5 = 0.
-1, 0, 1
Let t(b) be the third derivative of -7*b**5/60 + 5*b**4/24 + 2*b**3/3 + 2*b**2. Let l(r) = 57*r**2 - 39*r - 33. Let f(k) = 4*l(k) + 33*t(k). Factor f(j).
-3*j*(j - 3)
Suppose 3*i = i. Factor -2 - k**3 + 0*k**3 + i + 3*k + 4.
-(k - 2)*(k + 1)**2
Let f be 40/6 - 306/51. Factor -1/2*n**2 + 1/3 + 4/3*n**3 - 5/6*n + f*n**4.
(n + 1)*(n + 2)*(2*n - 1)**2/6
Suppose -2*f - 3*f = -3*f. Let r(i) be the second derivative of -i**3 - 2*i - 2*i**2 + 3/10*i**5 + f + 1/6*i**4 + 1/15*i**6. Solve r(s) = 0.
-2, -1, 1
Suppose t = 3*k + 13, 4*k + 4*t = 3*k. Let u = 6 + k. Solve 0*o - 8*o**u + 10*o**3 - 4*o**4 + 2*o + 0*o = 0 for o.
0, 1/2, 1
Suppose -2/5*i**5 + 2*i**4 + 0 - 16/5*i**3 + 0*i + 8/5*i**2 = 0. What is i?
0, 1, 2
Suppose 5*u + 2*b - 16 = -0*b, -3*u - 5*b + 21 = 0. Let n = 4 - u. Factor 0 + 6*l**3 - 22/7*l**n + 10/7*l**5 + 4/7*l - 34/7*l**4.
2*l*(l - 1)**3*(5*l - 2)/7
Let x(m) be the first derivative of 0*m - 1/3*m**3 + 1 - 1/2*m**2. Factor x(g).
-g*(g + 1)
Let v = -22 - -26. Let p be 1/v + 21/12. Determine f, given that 2/7*f**p + 2/7 + 4/7*f = 0.
-1
Factor 2*r**2 + 7*r + 4 - 262*r**3 + 525*r**3 - 264*r**3.
-(r - 4)*(r + 1)**2
Let t(f) = -3*f**2 + f + 3. Let j(k) = -k**2. Let l(g) = 2*j(g) - t(g). Let a(x) = -2*x**2 + 2*x + 7. Let p(z) = 3*a(z) + 7*l(z). Factor p(n).
n*(n - 1)
Let h = 141 - 139. Determine q, given that 1/3*q**h + 4/3*q + 4/3 = 0.
-2
Let n(k) = -3*k + 2. Let w be n(2). Let j be ((-1)/(-10))/(w/(-16)). Factor -j*h - 2/5*h**2 + 0.
-2*h*(h + 1)/5
Let s(u) = -u - 1. Let x be s(-3). Suppose 4 + 0 = x*n. What is b in -2*b**2 + 0*b**n - 3*b + 2 + 3*b**2 = 0?
1, 2
Let j(b) = -b**3 + 4*b**2 - 4*b + 3. Let g be j(2). Let c be (0 - g) + 13/4. Factor -1/4*a**2 + 0*a + c.
-(a - 1)*(a + 1)/4
Let i(y) be the third derivative of -y**7/105 - y**6/60 + y**5/10 + y**4/12 - 2*y**3/3 - 23*y**2. Suppose i(c) = 0. What is c?
-2, -1, 1
Let w(f) = -17*f**2 - 16*f - 25. Let j(x) = 4*x**2 + 4*x + 6. Let d(q) = 26*j(q) + 6*w(q). Factor d(h).
2*(h + 1)*(h + 3)
Solve -a**3 + 6 + 2*a**2 - 6 + 4*a - a**3 = 0.
-1, 0, 2
Factor 4/3*x**3 + 2/3*x**5 + 0*x**2 + 0*x + 0 - 2*x**4.
2*x**3*(x - 2)*(x - 1)/3
Let t = 1059/4 + -264. Factor -1/4*l**2 - t - l.
-(l + 1)*(l + 3)/4
Let k(n) be the third derivative of 0 + 1/60*n**6 - 5*n**2 + 0*n - 1/15*n**5 + 1/12*n**4 + 0*n**3. Suppose k(u) = 0. What is u?
0, 1
Suppose 5*m - m - 8 = 0. Let -4/7*l**m + 0*l + 2/7*l**4 + 2/7 + 0*l**3 = 0. What is l?
-1, 1
What is z in 4/3*z**3 - 2*z**2 + 2/3 + 0*z = 0?
-1/2, 1
Let z = 656/555 + 2/111. Let n be 2/3 - 4/6. Factor n + 16/5*r**4 - z*r**5 + 0*r + 4/5*r**2 - 14/5*r**3.
-2*r**2*(r - 1)**2*(3*r - 2)/5
Let u(z) be the first derivative of z**7/840 - z**6/240 + z**5/240 + z**2/2 - 2. Let g(d) be the second derivative of u(d). Suppose g(i) = 0. Calculate i.
0, 1
Let x(a) = 4*a**2 - 5*a + 1. Let d(u) = -u**2 - 1. Let n(k) = -5*d(k) - x(k). Factor n(r).
(r + 1)*(r + 4)
Let t(q) = -q**5 - q**4 + 1. Let l(j) = -31*j**5 + 24*j**4 + 61*j**3 - 22*j**2 - 36*j - 2. Let z(p) = -l(p) + 6*t(p). Solve z(o) = 0 for o.
-1, -2/5, 1, 2
Let n(m) be the third derivative of -m**7/280 + m**5/80 - 4*m**2. Let n(j) = 0. Calculate j.
-1, 0, 1
Let j be 2*2 + 5 + -9. Let f(s) be the first derivative of j*s + 6*s**4 + 0*s**2 + 41/5*s**5 + 4/3*s**3 - 2 + 7/2*s**6. Solve f(b) = 0.
-1, -2/3, -2/7, 0
Suppose 0 = 4*b - 5*x - 216, -2*b - 3*x = -2*x - 94. Suppose -2*a + 5*c - 6 = -16, -3*a = c - b. Determine n so that -6*n**2 + 4 - 2 - 19*n + a*n = 0.
-1, 1/3
Let r(b) be the third derivative of b**4/24 - b**3/3 - 4*b**2. Let d be r(4). Solve -2/5 + 3/5*x - 1/5*x**d = 0.
1, 2
Suppose 0*j + 5*j = 0. Suppose j*i = -3*i + 15. Factor 4 - i + s + 0 + s - s**2.
-(s - 1)**2
Let d(g) be the third derivative of 7*g**5/240 + 19*g**4/96 - g**3/4 + 5*g**2. Factor d(p).
(p + 3)*(7*p - 2)/4
Suppose -3*c + 3 = -3. Suppose 5*r = -4*j + 27, 5*r - 27 = -5*j + r. Suppose 0*o**2 + 4*o**j - 3*o**3 - c*o**2 = 0. Calculate o.
0, 2
Let i be (-1)/(-1)*6/3. Solve -8*h**2 + i - 2*h**3 - h + 0*h + 3*h + 6*h**2 = 0 for h.
-1, 1
Let w = -22 + 24. What is p in 3*p**w - 12 + 57*p - 57*p = 0?
-2, 2
Let v(l) = -l**4 + l**3 - l + 1. Let c(i) = 3*i**5 + 9*i**4 + 23*i**3 + 11*i**2 - 2*i + 4. Let z(w) = c(w) - 4*v(w). Suppose z(y) = 0. Calculate y.
-2, -1, -1/3, 0
Let k(h) be the second derivative of h**7/294 - 2*h**6/105 + 3*h**5/140 + h**4/21 - 2*h**3/21 + 4*h + 8. Factor k(w).
w*(w - 2)**2*(w - 1)*(w + 1)/7
Let h be (0/4)/(-6*(-2)/4). Determine o