 -4*x = -6 - 6. Let o = 3 - 0. Let f**o - 3*f**3 + f**2 + x*f**3 = 0. What is f?
-1, 0
Let d be (-10)/(-5)*1/2. Let g be d/4 - 126/(-648). Factor -g + 10/9*j - 4/9*j**2.
-2*(j - 2)*(2*j - 1)/9
Factor -2*r**2 + 5*r - 2*r**2 - 22*r**3 + 8 + 23*r**3 - 10.
(r - 2)*(r - 1)**2
Let l(d) be the first derivative of 2*d**7/105 + d**6/15 - d**4/3 - 2*d**3/3 - d**2/2 - 9. Let z(v) be the second derivative of l(v). Factor z(r).
4*(r - 1)*(r + 1)**3
Let d = -1369335/89159 + 13642/813. Let a = 1/141 + d. Suppose -10/7*u**3 - 18/7*u**2 + 4/7 + 2*u**4 + a*u = 0. Calculate u.
-1, -2/7, 1
Let t(u) be the second derivative of -2/9*u**3 - 1/3*u**2 - 1/120*u**5 + 0 - 8*u - 5/72*u**4. Factor t(b).
-(b + 1)*(b + 2)**2/6
What is c in -14/5*c**2 - 8/5 - 22/5*c = 0?
-1, -4/7
Let q(b) be the second derivative of -5*b**4/12 - 10*b**3/3 - 10*b**2 - 10*b. Let q(m) = 0. What is m?
-2
What is y in -y**2 + 16*y + 2*y**2 - 20 + 3*y**2 = 0?
-5, 1
Suppose 0 = 2*p + 388 + 160. Let d = 832/3 + p. Factor 0 - 2/3*r + d*r**3 + 2/3*r**2 + 2*r**4.
2*r*(r + 1)**2*(3*r - 1)/3
Let g(i) = -i**4 - 4*i**3 - 3*i**2 - 2*i + 2. Let l(h) = -h**4 - 5*h**3 - 4*h**2 - 3*h + 3. Let j(b) = -3*g(b) + 2*l(b). Factor j(c).
c**2*(c + 1)**2
Let k = -18 + 20. Let o = -35/4 - -9. Factor 1/4 - 3/4*n - 3/4*n**4 + 1/2*n**3 + o*n**5 + 1/2*n**k.
(n - 1)**4*(n + 1)/4
Let y(g) be the third derivative of g**8/588 + 8*g**7/735 + g**6/35 + 4*g**5/105 + g**4/42 - 15*g**2. Suppose y(s) = 0. Calculate s.
-1, 0
Let s(k) be the third derivative of -k**5/60 - k**4/24 + k**3/3 - 7*k**2. Factor s(g).
-(g - 1)*(g + 2)
Let l(d) be the first derivative of 0*d + 1/2*d**2 - 1/3*d**3 + 3. Factor l(j).
-j*(j - 1)
Let j(y) = y - 6. Let f be j(9). Solve 0*r**3 + 3*r**5 + r**5 - f*r**5 - r**3 = 0 for r.
-1, 0, 1
Let t(y) be the first derivative of 2*y**5/35 + 3*y**4/14 - 2*y**3/21 - 3*y**2/7 - 25. Determine s so that t(s) = 0.
-3, -1, 0, 1
Factor -u**4 + 3*u**4 + u**2 - 3*u**4.
-u**2*(u - 1)*(u + 1)
Let y(s) = -14*s**4 + 31*s**3 - 13*s**2 - 8*s - 2. Let f be (20/15)/(4/6). Let w(q) = q**4 + q**3 - q**2 + q + 1. Let x(k) = f*w(k) + y(k). Factor x(c).
-3*c*(c - 2)*(c - 1)*(4*c + 1)
Let y(o) = o**3 - 6*o**2 - 7*o. Let b be y(7). Suppose -u + 3*u - 62 = b. Let -3*n**5 - 2 + 4 - 25*n**2 - 5*n - 85*n**4 + u*n**5 + 85*n**3 = 0. What is n?
-1/4, 2/7, 1
Suppose 0 = 2*y - m - 8, 6*m - 8 = 8*m. Let x(t) be the first derivative of -186*t**3 - 3 - 147/5*t**5 - 24*t - 102*t**y - 525/4*t**4. Solve x(i) = 0.
-2, -1, -2/7
Let j(u) = u**2 - 12*u + 31. Let k be j(9). Let l(t) be the second derivative of 0 + 3*t + 0*t**3 + 1/36*t**k + 0*t**2. Factor l(n).
n**2/3
Suppose -2*l + 16/3*l**2 + 16/9*l**4 + 0 - 2/9*l**5 - 44/9*l**3 = 0. Calculate l.
0, 1, 3
Suppose -d + 4*q = -3*d + 14, 2 = q. Let l be d + (54/8)/(-3). Factor 1/4 + 3/4*b**2 - l*b - 1/4*b**3.
-(b - 1)**3/4
Let k(v) = -v + 2. Let z be k(3). Let s(i) = 4*i**2. Let o be s(z). Find r such that -2*r**3 + r**2 + 4*r**3 - 1 + r**2 - r - r**5 - r**o = 0.
-1, 1
Suppose 0*w - 2*w = -8. Factor -3 - 2*a**2 + 4*a**4 - w*a**3 + 2*a**4 + 3.
2*a**2*(a - 1)*(3*a + 1)
Let y(x) be the first derivative of 7*x**2 + 4*x + x**4 - 4/5*x**5 + 16/3*x**3 + 5 - 1/3*x**6. Find g, given that y(g) = 0.
-1, 2
Suppose -4*i = -4*k + 64, 2*i + 33 = 2*k - i. Let w be (1 + (-10)/6)*-3. Factor k*o - 15*o - w + 2*o**2.
2*(o - 1)*(o + 1)
Let q be (44/3)/((-2)/192). Let f = q - -7064/5. Let -18/5*u**4 - f*u**3 + 8/5*u - 2/5 + 4/5*u**2 = 0. Calculate u.
-1, 1/3
What is h in -8*h**3 - 3*h**2 - 9*h**2 + 4*h**3 = 0?
-3, 0
Let g(b) = 2*b**3 + 2*b**3 - 2*b**3. Let r be g(1). Factor -2*j**3 + 4*j**r - 2*j**4 + 6*j**3 + 2*j**5 - 4*j**5 - 2 - 2*j.
-2*(j - 1)**2*(j + 1)**3
Let k(m) be the first derivative of -m**4/2 + 14*m**3/3 + 8*m**2 + 46. Factor k(o).
-2*o*(o - 8)*(o + 1)
Let 1070*z**2 + 534*z**2 + 1372*z**4 + 2548*z**3 - 206*z**2 + 32 + 114*z**2 + 368*z = 0. What is z?
-1, -2/7
Let x be 20/4 + (-2)/2. Determine l so that 0*l**3 - l**2 - l**4 + l**3 + 2*l**x - l**5 = 0.
-1, 0, 1
Let d(n) = n**2 + n + 4. Let r(q) = 3*q**2 + 2*q + 11. Suppose -m - 4*m - 2*g + 19 = 0, 7 = 5*m - 4*g. Let f(o) = m*r(o) - 8*d(o). Solve f(v) = 0.
1
Let p be (1*2/(-18))/(5/(-30)). Find q, given that 0*q - 1/3*q**2 - 1/3*q**4 + p*q**3 + 0 = 0.
0, 1
Let w(y) be the second derivative of -y**7/21 - 2*y**6/15 + 3*y**5/10 + 2*y**4/3 - 4*y**3/3 - 19*y. Determine t, given that w(t) = 0.
-2, 0, 1
Suppose x = -4*h + 11, 4*h - 9 = -5*x + 14. Suppose -2*j = -2 - 4. Let -4 - 6*g**h + 0*g**2 + 2*g**j + 2 + 6*g = 0. What is g?
1
Suppose -3*f = f - 20. Suppose -9 = 2*v - f*v. Solve 0*o**3 - 3*o**2 - o**2 - 2*o - 2*o**v = 0.
-1, 0
Let h(v) be the first derivative of v**6/27 + 8*v**5/45 + v**4/3 + 8*v**3/27 + v**2/9 + 2. Let h(o) = 0. Calculate o.
-1, 0
Let f(m) be the second derivative of m**7/21 + m**6/15 - m**5/5 - m**4/3 + m**3/3 + m**2 - 8*m. Determine h so that f(h) = 0.
-1, 1
Let y = -45 - -35. Let k be (-3)/(-15) - 6/y. Let -k - 2*w - 6/5*w**2 = 0. Calculate w.
-1, -2/3
Factor 1/2*l**4 - 3/2*l**2 + 1 - 1/2*l**3 + 1/2*l.
(l - 2)*(l - 1)*(l + 1)**2/2
Let k(l) = -2*l**2 - 2. Let o(b) = -b. Let y(h) = k(h) - 4*o(h). Factor y(w).
-2*(w - 1)**2
Let f(p) be the first derivative of 25*p**4/36 + 10*p**3/9 + 2*p**2/3 + 3*p + 2. Let b(i) be the first derivative of f(i). Determine w, given that b(w) = 0.
-2/5
Let u(i) be the third derivative of i**9/60480 - i**8/6720 + i**6/180 + i**5/20 - 2*i**2. Let y(o) be the third derivative of u(o). Solve y(b) = 0 for b.
-1, 2
Let f be (-3 - 135/(-48))/((-7)/14). Factor -3/4*x**2 + 3/8*x + 0 + 0*x**3 + 3/4*x**4 - f*x**5.
-3*x*(x - 1)**3*(x + 1)/8
Let t(b) = -30*b**3 + 133*b**2 - 136*b + 7. Let s(g) = 15*g**3 - 66*g**2 + 68*g - 4. Let x(l) = -9*s(l) - 4*t(l). Find w, given that x(w) = 0.
2/15, 2
Suppose -2*v + 7 = -5*x + 31, -5*x + 30 = -5*v. What is r in -7*r**2 + 6*r**3 - 22*r**3 - x*r**4 - 9*r**2 = 0?
-2, 0
Let o(z) be the first derivative of -2*z**6/3 + 4*z**5 - 10*z**4 + 40*z**3/3 - 10*z**2 + 4*z + 4. Find d such that o(d) = 0.
1
Let b(o) be the second derivative of o**8/20160 - o**7/7560 - o**6/2160 + o**5/360 - o**4/12 - o. Let i(s) be the third derivative of b(s). Factor i(j).
(j - 1)**2*(j + 1)/3
Let z(a) be the third derivative of -3*a**8/280 - 6*a**7/175 - 2*a**6/75 + a**5/75 + a**4/60 + 5*a**2. Solve z(j) = 0 for j.
-1, -1/3, 0, 1/3
Let m(q) be the third derivative of -q**5/20 - 3*q**4/8 - q**3 - 47*q**2. Factor m(o).
-3*(o + 1)*(o + 2)
Let a(l) = -l**3 + 6*l**2. Let j(k) = k**3 - 5*k**2. Let r(m) = 5*a(m) + 6*j(m). Let s(t) = t**4 + 2*t**3 + t**2. Let i(b) = 12*r(b) - 3*s(b). Solve i(d) = 0.
0, 1
Let r be (-110)/(-5)*(-2)/(-1). Suppose 3*x = -x + r. Let -9*j**2 + j + 0 + 4 - 5*j**4 - 2 - x*j**3 - 2*j**3 = 0. What is j?
-1, 2/5
Let j(t) be the third derivative of t**9/7560 - t**7/2100 - 2*t**3/3 - 4*t**2. Let b(h) be the first derivative of j(h). Factor b(y).
2*y**3*(y - 1)*(y + 1)/5
Let v(r) be the third derivative of -r**6/120 + r**5/30 - 41*r**2. What is i in v(i) = 0?
0, 2
Suppose 0 = -3*a - 5*n + 4, -n - 5 + 1 = -a. Factor -2*c**2 - 2/3 + 2*c + 2/3*c**a.
2*(c - 1)**3/3
Let u(v) be the first derivative of v**3 + 9*v**2/2 + 6*v + 10. Find a, given that u(a) = 0.
-2, -1
Let t(n) be the first derivative of -n**5/150 - n**4/60 + 2*n**3/15 + 3*n**2/2 + 2. Let u(r) be the second derivative of t(r). Find m, given that u(m) = 0.
-2, 1
Let h = -653/5 - -131. Let z be (-6)/((-17)/14 - (-12)/(-42)). Factor -2/5*d**3 + 2/5*d**z - 2/5*d**2 + 0 + h*d.
2*d*(d - 1)**2*(d + 1)/5
Let t = 84 + -82. Factor -1/3*k**t + 0*k + 1/3.
-(k - 1)*(k + 1)/3
What is u in -2/7*u - 12/7*u**2 - 18/7*u**3 + 0 - 8/7*u**4 = 0?
-1, -1/4, 0
Let m(p) = 3*p - 4. Let b be m(2). Find q, given that 0*q - 2/9*q**3 + 0*q**b + 0 + 4/9*q**4 = 0.
0, 1/2
Suppose 2*x + 4*i - 15 - 7 = 0, 3*i = 12. Let k be 2 + (-25)/(-10) + -4. Suppose 0 + 1/2*o - 1/2*o**2 + k*o**4 - 1/2*o**x = 0. What is o?
-1, 0, 1
Let o(x) = x**2 + 2*x + 3. Let s(u) = -u - 3. Let w(t) = t**2 - t - 5. Let c(i) = -5*s(i) + 2*w(i). Let y(n) = -3*c(n) + 5*o(n). Determine k so that y(k) = 0.
0, 1
Let o be (2 - 1)*-1 - -2. Factor -6 + 18*j + 2 + o - 27*j**2.
-3*(3*j - 1)**2
Let b be (-32)/(-10) + (-8)/40. Let r(w) be the first derivative of -w - 2 - 1/3*w**b + w**2. Factor r(y).
-(y - 1)**2
Let q be ((-75)/(-50))/(6/