 j**t + j**3 + 0*j**u = 0. What is j?
0
Let r(f) = -3*f**3 + 6*f**2 + 4*f. Let d(i) = -i + 9. Let y be d(7). Let g(w) = w**3 + 0*w**y + 2*w - 3*w - 2*w**2. Let o(l) = 7*g(l) + 2*r(l). Factor o(j).
j*(j - 1)**2
Let t(l) be the second derivative of l**5/10 + 2*l**4/3 + 5*l**3/3 + 2*l**2 - 2*l. Factor t(x).
2*(x + 1)**2*(x + 2)
Let i be (2/(-116))/(3/6). Let g = i + 65/203. Factor 4/7*z**2 + 4/7*z**3 - 2/7*z - 2/7*z**5 - 2/7 - g*z**4.
-2*(z - 1)**2*(z + 1)**3/7
Let k(f) be the second derivative of f**6/30 + f**5/4 + 11*f**4/16 + 5*f**3/6 + f**2/2 + 8*f. Factor k(v).
(v + 2)**2*(2*v + 1)**2/4
Let x = 22 + -20. Let t(b) be the first derivative of -1 - 1/9*b**x + 4/27*b**6 + 0*b - 1/6*b**4 + 10/27*b**3 - 2/9*b**5. Let t(z) = 0. What is z?
-1, 0, 1/4, 1
Let v = 10/21 - 1/7. Let n(i) be the second derivative of -1/5*i**5 + v*i**3 - i + 0 + 1/21*i**7 + 0*i**4 + 0*i**2 + 0*i**6. Solve n(t) = 0 for t.
-1, 0, 1
Let d be 5 + 0 + -1 + 4 - 3. Let w(g) be the third derivative of 0*g**4 + 2*g**2 + 0*g + 0 + 0*g**3 - 1/840*g**7 + 1/240*g**d + 0*g**6. Factor w(l).
-l**2*(l - 1)*(l + 1)/4
Let u be (-5)/5 - (-2 + 4). Let b be 3 + u - (-16)/12. Find c, given that -5/3*c - 1/3*c**3 + b*c**2 + 2/3 = 0.
1, 2
Let z(u) be the second derivative of -u**6/1080 - u**5/360 + u**3 - 5*u. Let l(f) be the second derivative of z(f). Factor l(w).
-w*(w + 1)/3
Let j(x) = 455*x**4 - 820*x**3 + 155*x**2 + 90*x + 40. Let r(d) = 35*d**4 - 63*d**3 + 12*d**2 + 7*d + 3. Let l(z) = -3*j(z) + 40*r(z). Factor l(f).
5*f*(f - 1)**2*(7*f + 2)
What is w in 4/5*w**2 + 0*w + 0 - 4/5*w**4 + 6/5*w**3 - 6/5*w**5 = 0?
-1, -2/3, 0, 1
Let q be 2/6 - 56/(-21). Suppose -q*i + 3*i**3 - 2*i**3 + 2*i**3 = 0. What is i?
-1, 0, 1
Let p(f) be the first derivative of f**8/168 - f**7/35 + f**6/30 + f**2/2 - 3. Let t(r) be the second derivative of p(r). Determine k so that t(k) = 0.
0, 1, 2
Let y(x) = -x**3 - 4*x**2 - 5*x - 3. Let m be y(-3). Let 2*k**2 + 3*k**4 + 5*k**m - k**3 - k**4 = 0. What is k?
-1, 0
Factor 2 - 5 - 2*v**2 - 29 + 16*v.
-2*(v - 4)**2
Let a(k) be the first derivative of k**7/70 + 3*k**6/40 + k**5/10 + k**2 - 4. Let y(c) be the second derivative of a(c). Solve y(z) = 0 for z.
-2, -1, 0
Let a(c) be the third derivative of -c**8/13440 + c**7/840 - c**6/120 - c**5/60 - 4*c**2. Let j(g) be the third derivative of a(g). Let j(v) = 0. Calculate v.
2
Let k be (12/(-10))/(3/40). Let n be (6/k)/(21/(-14)). Find s such that -n - 1/4*s**2 + 1/2*s = 0.
1
Suppose -4*g = 3*r + 22, 32 = -4*r + r + g. Let t be r/(-35) + (-26)/(-7). Factor 19*s**3 + 2*s**t + 2*s**5 - 19*s**3 - 4*s**4.
2*s**4*(s - 1)
Let t(x) be the first derivative of x**5/20 + 3*x**4/16 + x**3/12 - 3*x**2/8 - x/2 - 9. Determine g so that t(g) = 0.
-2, -1, 1
Let c(x) be the first derivative of -7*x**4/2 + 88*x**3/3 - 12*x**2 - 5. Determine o so that c(o) = 0.
0, 2/7, 6
Let t = -13 + 58. Let q be 8/20 - (-2)/t. Determine f, given that 0*f - q*f**3 + 2/9*f**4 + 2/9*f**2 + 0 = 0.
0, 1
Let t(w) be the second derivative of w**4/54 + w**3/27 + 33*w. Solve t(c) = 0 for c.
-1, 0
Determine d, given that 0*d + 4/5*d**3 + 6/5*d**4 + 2/5*d**5 + 0*d**2 + 0 = 0.
-2, -1, 0
Let t be (0 - -2) + (-12 - -12). Factor 3*o**2 - 24*o + 0*o**2 + 4*o**t + 36 - 3*o**2.
4*(o - 3)**2
Let a be ((-183)/4)/(15/(-40)). Determine t so that 8 - t + a*t**2 + 52*t + 8*t**5 + 116*t**3 + 50*t**4 + t + 4*t = 0.
-2, -1, -1/4
Let a(d) = 3*d**4 + 3*d**3 - 15*d**2 - 15*d - 12. Let x(c) = 9*c**4 + 9*c**3 - 44*c**2 - 45*c - 35. Let f(v) = 17*a(v) - 6*x(v). Let f(l) = 0. Calculate l.
-1, 2
Let j be (-55)/15 - 4/(-6). Let h = j - -8. Factor 0*z**3 + 1/3*z**h + 0 + 0*z + 0*z**4 + 0*z**2.
z**5/3
Let w be (-1)/2*(5 + -5). Let q(i) be the third derivative of 0*i + 1/735*i**7 + 0*i**4 - 1/420*i**6 + 0*i**5 + w + 0*i**3 - 2*i**2. Factor q(d).
2*d**3*(d - 1)/7
Determine h, given that -26/9 + 82/9*h**2 + 50/9*h + 2/3*h**3 = 0.
-13, -1, 1/3
Let l = -108 - -108. Factor 0*p - 1/3*p**2 + l.
-p**2/3
Let a(m) be the third derivative of 0*m**5 + 0*m**4 - 2*m**2 + 1/180*m**6 + 0*m + 1/315*m**7 + 0*m**3 + 0. Factor a(w).
2*w**3*(w + 1)/3
Let s(p) be the first derivative of p**3/5 - 3*p**2/5 + 3. Determine n, given that s(n) = 0.
0, 2
Let t be 0*(16/6 + -3). Let m(v) be the first derivative of 1/4*v**4 - 1/3*v**3 - v**2 + 3 + t*v. Let m(o) = 0. Calculate o.
-1, 0, 2
Let 0 - 2/5*z**4 - 2*z**2 + 8/5*z**3 + 4/5*z = 0. What is z?
0, 1, 2
Let n(y) be the second derivative of y**7/14 + y**6/2 + 6*y**5/5 + y**4 + 9*y. Factor n(w).
3*w**2*(w + 1)*(w + 2)**2
Let s(a) be the second derivative of a**5/20 - a**4/12 - 5*a**3/6 - 3*a**2/2 - 11*a. Let s(d) = 0. Calculate d.
-1, 3
Let a = -2/3 + 8/9. Let y(k) be the first derivative of 1/3*k**2 - a*k**3 - 1/6*k**4 + 2 + 2/3*k. What is i in y(i) = 0?
-1, 1
Let p(m) be the second derivative of -m**7/63 - m**6/45 + m**5/6 - m**4/6 + 13*m. Factor p(s).
-2*s**2*(s - 1)**2*(s + 3)/3
Determine z, given that 1/3*z**4 + z**3 - 2/3 - z + 1/3*z**2 = 0.
-2, -1, 1
Suppose -d**3 + 2*d - d**3 - 4*d + 4*d = 0. What is d?
-1, 0, 1
Let q be 12/(-20)*-5 + 0. Let 2*d**2 - 1/2*d**q + 1 - 5/2*d = 0. Calculate d.
1, 2
Let c(u) be the third derivative of -u**6/720 - u**5/180 + u**4/144 + u**3/18 - 4*u**2. Solve c(v) = 0.
-2, -1, 1
Suppose -5*u + 2*t = -18, 2*u = -2*t - 3 - 1. Factor -2*q - 14*q**3 - 8 + 14*q**2 + 4*q**u + 26*q.
-2*(q - 2)*(q + 1)*(7*q - 2)
Let w = -5 - -5. Let j(k) be the third derivative of w*k**3 + 0*k**4 + 0*k + 0 + 3*k**2 + 1/270*k**5. What is p in j(p) = 0?
0
Let q(d) = 4*d**4 + 8*d**3 + 4*d**2. Let g be 9/(-3) - 2/1. Let k(y) = 9*y**4 + 17*y**3 + 7*y**2 - y. Let n(s) = g*q(s) + 2*k(s). Solve n(w) = 0.
-1, 0
Let h(r) be the second derivative of -r**5/20 - r**4/12 + r**3/6 + r**2/2 - r. Factor h(k).
-(k - 1)*(k + 1)**2
Let n(p) be the second derivative of -p**6/360 + p**5/20 - 3*p**4/8 + 5*p**3/6 + 5*p. Let y(m) be the second derivative of n(m). Factor y(j).
-(j - 3)**2
Let u(d) be the first derivative of 3*d**5/5 + 3*d**4/2 - 3*d**3 - 6*d**2 + 12*d + 2. Factor u(l).
3*(l - 1)**2*(l + 2)**2
Let b(s) = s**3 + 14*s**2 - 2*s - 28. Let l be b(-14). Find p such that 2/5*p**4 + 6/5*p**2 + 2/5*p + l + 6/5*p**3 = 0.
-1, 0
Factor 3/7*a**4 - 324/7*a + 162/7*a**2 - 36/7*a**3 + 243/7.
3*(a - 3)**4/7
Suppose 8*u = 11*u. Let i(s) be the third derivative of 0*s + 1/210*s**7 - s**2 + 0*s**3 - 1/30*s**6 - 1/12*s**4 + u + 1/12*s**5. Factor i(k).
k*(k - 2)*(k - 1)**2
Let d be 2/(3/((-6)/(-8))). Let c = 47/2 - 23. Factor 0 + 0*z - c*z**4 + 0*z**3 + 0*z**2 + d*z**5.
z**4*(z - 1)/2
Let t(p) = -4*p**3 - 2*p**2 - p. Let u be t(-1). Suppose j - 3 = 1. Solve 8/3*i**2 + 5/3*i**u + 1/3*i**j + 0 + 4/3*i = 0.
-2, -1, 0
Suppose 54*a - 14*a = 80. Factor -2/11*f + 4/11 - 2/11*f**a.
-2*(f - 1)*(f + 2)/11
Let l(k) be the first derivative of k**8/1008 - k**6/180 + k**4/72 - k**2/2 - 2. Let p(b) be the second derivative of l(b). Factor p(t).
t*(t - 1)**2*(t + 1)**2/3
Let i(q) be the third derivative of q**6/420 + q**5/105 + 11*q**2. Factor i(g).
2*g**2*(g + 2)/7
Let p(v) be the first derivative of 3*v**6/20 + 3*v**5/25 - 11*v**4/40 - 2*v**3/15 + v**2/5 + 32. Solve p(x) = 0.
-1, 0, 2/3
Let g = 123/2 - 61. Let t(s) be the second derivative of -g*s**2 + 0 + 1/12*s**4 + 1/20*s**5 - 4*s - 1/6*s**3. Determine u so that t(u) = 0.
-1, 1
Let o = 9 - 3. Let z(q) be the third derivative of -1/96*q**4 - q**2 - 1/480*q**o + 0*q + 0*q**3 - 1/120*q**5 + 0. Solve z(c) = 0 for c.
-1, 0
Let q(i) be the second derivative of i**5/25 - i**4/15 - 2*i**3/15 + 2*i**2/5 + i. Factor q(y).
4*(y - 1)**2*(y + 1)/5
Solve -16*y**2 + y**3 + y**3 + 4*y**2 + 10*y**2 - 4*y = 0 for y.
-1, 0, 2
Suppose 0 = 3*y - 5*f - 29 + 3, -5*y = 4*f + 6. Suppose 3*q = 7*q - 8. Find x such that -y*x - 1 - 2*x - 3 - x**q = 0.
-2
Let g(h) be the first derivative of -2*h**3/39 + 2*h/13 + 4. Factor g(w).
-2*(w - 1)*(w + 1)/13
Find d such that -12/17*d - 2/17*d**2 + 14/17 = 0.
-7, 1
Factor 2*d**2 - 3*d**3 + d**3 - 5*d**3 + 6*d**3.
-d**2*(d - 2)
Let b be (-941)/(-665) - -1 - 2. Let a = -2/133 + b. Find c, given that -a - 4/5*c - 2/5*c**2 = 0.
-1
Let j be (-7)/(-28) + 54/(-152). Let n = j - -23/38. Determine t so that -n + 5/4*t**2 + 3/2*t**3 - 3/4*t = 0.
-1, -1/2, 2/3
Let g = -5 + 7. Suppose 1 = -g*j + 5. Determine z, given that 2*z**3 + z - 5*z + j*z = 0.
-1, 0, 