m - 14/9*m**3 + 20/3*m**2 + 4/3 = 0.
2/7, 1, 3
Let t be -2 + (-2 - (-10 - -2)). Let k(z) = z**3 - 6*z**2 - 16*z + 3. Let q be k(8). Factor -1/2*d**2 + 0 + 1/2*d**t + 1/4*d + 0*d**q - 1/4*d**5.
-d*(d - 1)**3*(d + 1)/4
Let r = 2 - -5. Let o(w) = w + 4 + 4*w**2 - 5*w - 4*w. Let c(i) = -2*i**2 + 4*i - 2. Let l(m) = r*c(m) + 4*o(m). Factor l(f).
2*(f - 1)**2
Let -9*o**2 + 3*o**4 + 9 + 6*o**3 - 159*o + 3 + 147*o = 0. What is o?
-2, 1
Suppose -2/21*f**2 - 50/21 + 20/21*f = 0. Calculate f.
5
Let d be 2/(-4) + 14/4. Factor 5 + 2*i**3 + d*i**2 - 5 - i**2.
2*i**2*(i + 1)
Suppose -a + 1 + 5 = 0. Let o be 2/a - (-4 - -3). Let 0*w + 0 - 2/3*w**3 + o*w**2 - 2/3*w**4 = 0. What is w?
-2, 0, 1
Let t = -5 + 7. Factor -5 - 3 - h + t + h**2 + 4.
(h - 2)*(h + 1)
Suppose -r + 20 = 4*r. Factor j**r - j**5 - 2*j**5 + j**5 + j**4.
-2*j**4*(j - 1)
Let w(d) = -2*d**3 - d**2 - 5*d + 4. Let z be w(-6). Let b be z/35 + (-2)/7. Factor -8*p**2 - b*p**3 + 6*p**4 + 0*p - 14*p**4 - 2*p**5 - 2*p.
-2*p*(p + 1)**4
Let 36/5*p - 108/5 - 3/5*p**2 = 0. Calculate p.
6
Let k = 257 - 30839/120. Let l(d) be the third derivative of 0*d + 2*d**2 + 1/60*d**5 + k*d**6 - 1/24*d**4 - 1/6*d**3 + 0. Solve l(n) = 0 for n.
-1, 1
Let i(v) be the second derivative of v**6/45 + v**5/15 - v**4/6 - 8*v**3/9 - 4*v**2/3 + 41*v. Suppose i(j) = 0. Calculate j.
-2, -1, 2
Suppose 3*p = -0*v - 2*v, 0 = 4*v + 3*p. Suppose v*q**4 + 0 - 2/5*q**5 + 2/5*q**3 + 0*q**2 + 0*q = 0. Calculate q.
-1, 0, 1
Let x(r) be the third derivative of -r**5/15 + 2*r**4/3 + 2*r**2. Find y, given that x(y) = 0.
0, 4
Suppose b + 20 = 5*b. Let o(a) = -3*a**2 + 13*a + 5. Let n(w) = -4*w**2 + 20*w + 8. Let q(j) = b*n(j) - 8*o(j). Factor q(l).
4*l*(l - 1)
Let n = -361 - -723/2. Factor n*y**4 + 0*y + 0*y**2 - 1/2*y**3 + 0.
y**3*(y - 1)/2
Suppose -3*g = -3*x - 6, -5*x = -3*g + 6*g - 22. Factor -3/4*b + 0*b**g + 0 + 0*b**2 + 3/2*b**3 - 3/4*b**5.
-3*b*(b - 1)**2*(b + 1)**2/4
Let x(i) be the third derivative of 0*i + 1/6*i**4 + 1/60*i**5 + i**2 + 0 + 2/3*i**3. Find p, given that x(p) = 0.
-2
Let y(k) = -k + 7. Let i be y(4). Let v(j) be the second derivative of 1/5*j**i + 1/30*j**4 + 0 + j + 2/5*j**2. Factor v(a).
2*(a + 1)*(a + 2)/5
Suppose -36/7*k + 3/7*k**2 + 108/7 = 0. What is k?
6
Let o(g) = 5*g**2 - 16*g + 25. Let p(c) = -21*c**2 + 63*c - 99. Let j(q) = 9*o(q) + 2*p(q). Determine z so that j(z) = 0.
3
Suppose 0 = -2*k - 2*t + 4*t + 16, 5*t = -k - 16. Factor -k*c**2 - 6*c - c**2 + 2*c**2 + 0*c**2 - 3.
-3*(c + 1)**2
Let 0 + 2/3*t - 1/6*t**2 = 0. Calculate t.
0, 4
Let y(t) be the third derivative of 0 + 1/14*t**7 + 1/2*t**3 + 6*t**2 - 1/4*t**6 - 5/8*t**4 + 0*t + 1/2*t**5 - 1/112*t**8. Solve y(s) = 0.
1
Let f = -2819/15 + 188. Let p(b) be the third derivative of 0 + 1/525*b**7 + 2*b**2 + 1/25*b**5 + f*b**4 + 1/75*b**6 + 0*b + 1/15*b**3. Factor p(l).
2*(l + 1)**4/5
Let a be 5*(-1 - (-6)/10). Let n be (-1)/((-5)/(-3) + a). Solve 0 + 2/3*z**5 + 0*z + 0*z**2 + 2/3*z**4 + 0*z**n = 0 for z.
-1, 0
Suppose 36 - 12 = 8*p. Let r be 7 + -6 + 4 - p. Factor 0 + 2/5*c - 2/5*c**r.
-2*c*(c - 1)/5
Let u(f) be the third derivative of 1/3*f**4 + 0*f - 1/5*f**5 + 1/15*f**6 - 1/3*f**3 + 0 - 1/105*f**7 + f**2. Solve u(z) = 0 for z.
1
Suppose 1/2 + 0*o**2 + o**3 - 1/2*o**4 - o = 0. Calculate o.
-1, 1
Determine j, given that -2/11*j**4 - 4/11*j + 4/11*j**3 + 2/11 + 0*j**2 = 0.
-1, 1
Let a = 9428 - 46206/5. Let f = a + -186. Let -f*s - 4/5*s**3 + 6/5*s**2 + 1/5*s**4 + 1/5 = 0. What is s?
1
Let y(z) be the second derivative of -z**6/60 + z**5/10 - z**4/6 + 4*z. Find s, given that y(s) = 0.
0, 2
Suppose 6*c - 20*c - 13*c**2 - c**3 + 49 - 21*c = 0. What is c?
-7, 1
Let w(n) be the third derivative of n**6/24 + n**5/12 - 25*n**4/24 + 5*n**3/2 + 17*n**2. Let w(u) = 0. Calculate u.
-3, 1
Determine d so that 1/3*d**3 - 1/6*d**4 - 1/3*d + 0*d**2 + 1/6 = 0.
-1, 1
Let t(w) be the second derivative of -w**5/20 - w**4/12 + w**3/6 + w**2/2 + 8*w. Factor t(x).
-(x - 1)*(x + 1)**2
Let a be (-4)/10*(-10)/8. Let f be -2 + -2*(-2)/1. Let a*y**f + 0 - 1/2*y = 0. What is y?
0, 1
Suppose 0 = p - 6*p + 20. Let y(s) = -s + 15. Let o be y(7). Find x such that x**p - 8 + o = 0.
0
Let m(q) be the third derivative of -3*q**2 + 0*q - 1/4*q**6 + 3/35*q**7 + 0 - 11/30*q**5 - 2/3*q**3 + 11/12*q**4. What is u in m(u) = 0?
-1, 1/3, 2
Let l(j) be the second derivative of 1/270*j**6 + 1/36*j**5 - 2/27*j**3 + 0 + 4*j - 4/9*j**2 + 1/18*j**4. Solve l(b) = 0.
-2, 1
Let u(b) be the first derivative of 2*b**5/55 - 4*b**3/33 + 2*b/11 - 2. Factor u(g).
2*(g - 1)**2*(g + 1)**2/11
Let y(n) be the first derivative of n**3 + 3*n**2 + 3*n - 4. Factor y(l).
3*(l + 1)**2
Let q(o) be the third derivative of -1/2940*o**7 + 0 + 1/6*o**3 - o**2 + 0*o**4 + 0*o**5 + 0*o + 0*o**6. Let z(v) be the first derivative of q(v). Factor z(t).
-2*t**3/7
Let c be ((-9)/27)/((-2)/2). Let q(i) be the first derivative of -2 - i - 1/4*i**4 + c*i**3 + 1/2*i**2. What is z in q(z) = 0?
-1, 1
Let m = 1 + 1. Let h = 10 + -6. Factor -c**5 + 0*c**3 + 4*c**3 - 5*c**3 - m*c**h.
-c**3*(c + 1)**2
Let y(g) be the third derivative of -g**9/1008 + g**8/280 - g**7/280 - 2*g**3/3 + 2*g**2. Let k(s) be the first derivative of y(s). Find u, given that k(u) = 0.
0, 1
Let x(i) be the first derivative of 0*i**2 + 1/9*i**3 - 3 + 1/12*i**4 + 0*i. Factor x(t).
t**2*(t + 1)/3
Let m(v) be the second derivative of v**6/6 - 3*v**5/4 - 5*v**4/12 + 5*v**3/2 + 12*v. Determine z, given that m(z) = 0.
-1, 0, 1, 3
Let g = 25/72 - 9619/27288. Let z = 1129/1516 - g. Factor z*x**4 + 1/4*x**2 - 1/4*x**5 - 3/4*x**3 + 0*x + 0.
-x**2*(x - 1)**3/4
Let s be (-6)/10 - (-407)/495. Let w be -1*2*(-6)/27. Suppose -2/9*l + 4/9 + s*l**3 - w*l**2 = 0. Calculate l.
-1, 1, 2
Factor 0 + 8/15*f**2 + 2/15*f**4 + 0*f + 8/15*f**3.
2*f**2*(f + 2)**2/15
Suppose p + 2 = -5*f + 3, -f = -2*p + 13. Suppose 4*q + p = -q - 3*u, q = -4*u - 8. Factor 0*k**3 + q + 1/3*k**2 - 1/3*k**4 + 0*k.
-k**2*(k - 1)*(k + 1)/3
Let j be -1*(5 + 1 + -6). Solve 2/5*y**4 + 0*y**3 + j*y + 2/5 - 4/5*y**2 = 0 for y.
-1, 1
Let g(z) be the third derivative of z**7/126 - z**6/36 - z**5/9 + 5*z**4/36 + 5*z**3/6 + 24*z**2. Factor g(n).
5*(n - 3)*(n - 1)*(n + 1)**2/3
Suppose 4*o - 2*m + 11 = -3, -7 = 5*o + m. Let a be 2/(-30) - o/5. Factor -1/3*b**2 + 0 - a*b.
-b*(b + 1)/3
Let k(n) = n**2 - 10*n + 12. Let z be k(9). Suppose 0 = -2*y - z*h + 13, 4*y - 2*h = y. Find w such that 8/7*w - 8/7 - 2/7*w**y = 0.
2
Let k be 1/16*4*12. Let f(r) be the first derivative of 32/3*r**k + 2*r + 8*r**2 + 1. Factor f(h).
2*(4*h + 1)**2
Factor 4*t + 8 - t + t - 4 + t**2.
(t + 2)**2
Let r(v) be the third derivative of 0 - 1/12*v**4 - 1/6*v**3 - 1/480*v**6 - 1/48*v**5 + 0*v + 3*v**2. Factor r(x).
-(x + 1)*(x + 2)**2/4
Let r(v) be the second derivative of v + 0 + 0*v**2 + 1/105*v**6 + 0*v**3 + 0*v**5 + 0*v**4. Determine p so that r(p) = 0.
0
Let y(w) be the second derivative of -1/5*w**5 + 0 - 7/6*w**4 + 4*w**2 - 4/3*w**3 + 3*w. Determine o, given that y(o) = 0.
-2, 1/2
Let x = -4/33 - -94/231. Let v = 12 - 8. Determine j, given that x + 0*j**3 + 0*j + 2/7*j**v - 4/7*j**2 = 0.
-1, 1
Suppose 3*m - 17 - 4 = 0. Find h, given that 12*h**3 + 4*h**4 + m - 5 - 2 = 0.
-3, 0
Let z(r) be the third derivative of r**10/50400 + r**9/5040 + r**8/1344 + r**7/840 - 2*r**5/15 + 9*r**2. Let k(b) be the third derivative of z(b). Factor k(f).
3*f*(f + 1)**2*(f + 2)
Suppose -37 = -3*v - 13. Let c be 0*(v/12 - 1). Let 0 + h**4 + 0*h + c*h**2 + 1/2*h**3 + 1/2*h**5 = 0. Calculate h.
-1, 0
Let n(o) be the first derivative of -1 + 1/6*o**3 + 0*o**2 + 5/16*o**4 - 5/24*o**6 + 0*o - 1/10*o**5. Solve n(h) = 0 for h.
-1, -2/5, 0, 1
Let t(m) be the third derivative of -m**7/525 - m**6/150 - m**5/150 + 2*m**2. What is j in t(j) = 0?
-1, 0
Find h, given that -6/19*h + 0 - 4/19*h**2 + 2/19*h**3 = 0.
-1, 0, 3
Suppose -5*k + 31 = 6. Suppose -h - 2*h - 15 = c, -15 = k*c + 3*h. Find m, given that -1/3*m**2 + 1/3*m + c = 0.
0, 1
Suppose 15 + 10 = 5*q. Let b(n) be the second derivative of 0*n**2 + 2*n + 1/30*n**4 + 3/25*n**6 + 0 + 0*n**3 - 3/25*n**q. Factor b(j).
2*j**2*(3*j - 1)**2/5
Let w(k) = k**2 - 4*k - 1. Let h(c) = c**2 - c. Let j(t) = -6*h(t) + 3*w(t). Factor j(b).
-3*(b + 1)**2
Let s(l) be the first derivative of 2*l**3/3 + 2*l**2 - 1. Solve s(r) = 0 for r.
-2, 0
Determine j, g