2 = 0.
0, 3
Solve -46/9*u - 2/3*u**4 - 62/9*u**2 - 34/9*u**3 - 4/3 = 0.
-3, -1, -2/3
Suppose 2 - 2 - f + f**3 = 0. What is f?
-1, 0, 1
Let n be 42/36*(-16)/(-14). Factor -2/3*t**2 + 0*t - 2/3*t**4 + n*t**3 + 0.
-2*t**2*(t - 1)**2/3
Let i(b) be the third derivative of b**5/20 - 3*b**4/4 + 9*b**3/2 + 4*b**2. Factor i(a).
3*(a - 3)**2
Let v be 1/(3*4/96). Suppose 2*a - 8 = 0, -12 = -l - 4*a + v. Factor 1/3*y**2 + 1/3*y**3 + 0*y - 1/3*y**5 + 0 - 1/3*y**l.
-y**2*(y - 1)*(y + 1)**2/3
Let f = -115853/73 + 1587. Let r = f + 77/146. Factor -1/2*u + 1/2*u**3 + r - 1/2*u**2.
(u - 1)**2*(u + 1)/2
Let y(r) be the second derivative of 0*r**2 - 4*r + 0 - 1/18*r**4 - 2/9*r**3. What is m in y(m) = 0?
-2, 0
Let c be 18/(-2)*1*8/(-24). Factor 3/4*w**c + 0 - 3/4*w**2 - 3/2*w.
3*w*(w - 2)*(w + 1)/4
Let y(t) = 6*t**4 - 4*t**3 - 3*t**2 + 8*t - 7. Let c(j) = j**4 - j**3 + j - 1. Let v(l) = -21*c(l) + 3*y(l). Let v(s) = 0. What is s?
0, 1
Let v be ((-6)/126)/((-12)/(-2723)). Let p = v + 104/9. Factor -1/4*m**2 + 0 - 3/4*m**4 - 1/4*m**5 - p*m**3 + 0*m.
-m**2*(m + 1)**3/4
Let x be ((-357)/7)/((-4)/(-5)). Let p = x - -64. Solve 1/2 - 3/4*k + p*k**2 = 0.
1, 2
Let b(k) be the second derivative of k**4/90 + 4*k**3/45 + 4*k**2/15 - 7*k. Determine a so that b(a) = 0.
-2
Suppose 5*t - 19 = -36*r + 39*r, 4*r - 4*t = -12. Suppose 8/9*a - 2/9*a**r - 8/9 = 0. Calculate a.
2
Let y(x) = -5*x**2 - 35*x. Let h(k) = -5*k**2 - 35*k. Let s(p) = -3*h(p) + 4*y(p). Suppose s(c) = 0. Calculate c.
-7, 0
Let n be (3*4/108)/(14/12). Let d(o) be the second derivative of 0*o**2 - n*o**3 + 0 - 5/42*o**4 + 3*o. Factor d(x).
-2*x*(5*x + 2)/7
Let x(u) be the first derivative of 4*u**5/5 - 5*u**4 - 33. Factor x(o).
4*o**3*(o - 5)
Let h = 367 + -1100/3. Factor 2/3*x - h - 1/3*x**2.
-(x - 1)**2/3
Let u = 48 - 143/3. Determine y so that 2*y**3 + u*y**5 + 0 - 4/3*y**4 - 4/3*y**2 + 1/3*y = 0.
0, 1
Let h(n) be the second derivative of n**5/100 + n**4/30 + n**3/30 - 32*n. Factor h(p).
p*(p + 1)**2/5
Let k be 7/((-126)/(-40))*15. Let i = -33 + k. Factor -1/3*s - i*s**2 + 0.
-s*(s + 1)/3
Let o(r) = r**3 + 5*r**2 + 2*r - 5. Let j be o(-4). Factor -2*u**3 + j*u**3 + 6*u - 4*u**3 + 3*u**2.
-3*u*(u - 2)*(u + 1)
Let i = 137867/40 + -3446. Let l(r) be the second derivative of i*r**6 + 2*r**2 + 9/2*r**4 - 4*r**3 - 27/10*r**5 - r + 0. Factor l(v).
(3*v - 2)**4/4
Let w be 75/18 + 4/(-24). Let t(r) be the first derivative of 2 - 2/9*r**w + 0*r - 2/45*r**5 - 10/27*r**3 - 2/9*r**2. Factor t(j).
-2*j*(j + 1)**2*(j + 2)/9
Let n(k) be the second derivative of k**5/180 - 15*k. Factor n(g).
g**3/9
Let o be 3/(-15)*1/(-5). Let n(q) be the first derivative of 1/10*q**4 + o*q**5 - 1/5*q - 1/5*q**2 + 0*q**3 + 1. Factor n(d).
(d - 1)*(d + 1)**3/5
Let f(o) be the third derivative of o**6/360 + o**5/60 + o**2 - 22*o. Determine x, given that f(x) = 0.
-3, 0
Let k(h) be the first derivative of h**7/210 + h**6/36 + h**5/15 + h**4/12 - h**3 - 3. Let a(x) be the third derivative of k(x). Find t such that a(t) = 0.
-1, -1/2
Let v(t) be the first derivative of t**5/60 - t**3/6 + t**2/2 - 7. Let i(s) be the second derivative of v(s). Factor i(r).
(r - 1)*(r + 1)
Let c(b) be the first derivative of 3/4*b**4 + 0*b + 5 + 0*b**3 + 0*b**2. Factor c(k).
3*k**3
Let f(z) be the second derivative of 81/2*z**2 + 9/4*z**4 + 0 - 3/20*z**5 - 27/2*z**3 + 3*z. Determine y so that f(y) = 0.
3
Suppose -2*t + 0 = -4. Suppose o - 12 = -t*o. Factor -3*h**4 + o - 3 + 2*h + 4*h**2 - 2*h**3 - 2.
-(h - 1)*(h + 1)**2*(3*h - 1)
Factor -2/3*p**2 - 1/3*p + 2/3 + 1/3*p**3.
(p - 2)*(p - 1)*(p + 1)/3
Let w(h) be the third derivative of 2*h**7/105 + h**6/30 - h**5/15 - h**4/6 - 4*h**2. Find j such that w(j) = 0.
-1, 0, 1
Let j(z) = 6*z**5 - 9*z**4 + 3*z**2 - 3*z - 3. Let t(x) = -11*x**5 + 17*x**4 - x**3 - 5*x**2 + 5*x + 5. Let o(f) = -5*j(f) - 3*t(f). Let o(l) = 0. Calculate l.
0, 1
Suppose 0 = 20*q - 16*q - 8. What is i in -32/7*i + 8/7 - 6/7*i**q + 22/7*i**3 + 8/7*i**4 = 0?
-2, 1/4, 1
Let q(x) be the second derivative of 3*x**5/20 + x**4/2 + x**3/2 - 4*x. Factor q(t).
3*t*(t + 1)**2
Let t(c) be the second derivative of -8*c + 9/5*c**5 + 0 + 7*c**4 + 8*c**2 + 32/3*c**3. Determine d so that t(d) = 0.
-1, -2/3
Let p(l) be the second derivative of l**6/180 - l**5/15 + l**4/3 - l**3/3 - 4*l. Let x(y) be the second derivative of p(y). Suppose x(f) = 0. What is f?
2
Let f(a) be the first derivative of 0*a**3 - a - 1/8*a**4 + 3/4*a**2 - 4. Factor f(r).
-(r - 1)**2*(r + 2)/2
Let k = 58 - 85. Let f be k/(-14) - (-12)/(-28). Determine s so that -f*s**2 + 3/2*s**5 + 3/2*s**4 + 0*s - 3/2*s**3 + 0 = 0.
-1, 0, 1
Let b = 4/3 - 0. Factor 14/3*n**2 + b*n + 0 + 10/3*n**3.
2*n*(n + 1)*(5*n + 2)/3
Let q(b) be the third derivative of -b**6/240 + b**5/20 - 3*b**4/16 - 7*b**2. Factor q(p).
-p*(p - 3)**2/2
Let l = 25/3 - 8. Let z(k) be the second derivative of l*k**3 + 0 - 1/2*k**4 - 2*k + 0*k**2 - 1/15*k**6 + 3/10*k**5. Suppose z(n) = 0. Calculate n.
0, 1
Let k(x) be the first derivative of -2*x**3/27 - x**2/9 + 5. Factor k(l).
-2*l*(l + 1)/9
Factor 0*v - 1/2*v**5 - 3*v**4 - 6*v**3 + 0 - 4*v**2.
-v**2*(v + 2)**3/2
Let m(d) = -3*d**5 - 4*d**4 - 3*d**3 + 5*d - 5. Let g(i) = -i**5 - i**3 + i - 1. Let z(c) = 5*g(c) - m(c). Factor z(f).
-2*f**3*(f - 1)**2
Let q be (-1)/((-216)/(4 + -1)). Let p(a) be the third derivative of 0 + 0*a + 2*a**2 - 1/180*a**5 - q*a**4 + 0*a**3. What is u in p(u) = 0?
-1, 0
Suppose 7 = 3*k - 8. Let g(l) = -l**2 + 5*l + 3. Let b be g(5). Factor -3*t + t**b - 3*t**2 + 8 - t**3 - k + 3*t**3.
3*(t - 1)**2*(t + 1)
Let l(n) be the first derivative of -1/3*n**3 + 2 - 3*n**2 - 9*n. Let l(q) = 0. What is q?
-3
Let l = -4 + 6. Factor 3*o**4 + 4*o**3 + 6*o**2 + 2*o**4 - 2*o**2 - 3*o**l + 2*o**5.
o**2*(o + 1)**2*(2*o + 1)
Suppose 3*r + 5*b = 34, -2*r + 3*b - 7*b + 26 = 0. Suppose -8*w - w = -27. Factor r*a**2 - 4*a**2 - 2*a - w*a**2 + 0*a + 6*a**3.
2*a*(a - 1)*(3*a + 1)
Let r = -53 - -38. Let l = -13 - r. Let 1/5*p - 2/5*p**l + 0 + 1/5*p**3 = 0. Calculate p.
0, 1
Let o(f) be the second derivative of 1/18*f**4 - 1/45*f**6 - 1/30*f**5 + 1/9*f**3 + 0*f**2 + 0 + 2*f. Factor o(s).
-2*s*(s - 1)*(s + 1)**2/3
Let h(z) be the first derivative of -z**8/84 - 4*z**7/105 - z**6/30 + 7*z**2/2 - 2. Let x(r) be the second derivative of h(r). Determine t so that x(t) = 0.
-1, 0
Let i(j) be the first derivative of -4*j**5/5 + 2*j**4 + 4*j**3 - 5. Factor i(y).
-4*y**2*(y - 3)*(y + 1)
Let i(b) = -9*b**3 + 13*b**2 - 16*b - 4*b**3 + b**4 + 13*b - 2*b**4. Let f(t) = 3*t**4 + 27*t**3 - 27*t**2 + 6*t. Let w(z) = -4*f(z) - 9*i(z). Factor w(g).
-3*g*(g - 1)**3
Let t(i) = i**2. Let a(u) = -4*u**2 + u. Let h(s) = a(s) + 5*t(s). Factor h(f).
f*(f + 1)
Let d be (-4)/5 - (-28)/10. Suppose 5*z - 15 = 4*f, 2*f - 4*f - 6 = -d*z. Factor 0*j - 2/7*j**5 + 0 + f*j**2 + 0*j**3 + 2/7*j**4.
-2*j**4*(j - 1)/7
Suppose 3*t + 3*f + 0*f - 114 = 0, -5*t + 200 = 3*f. Factor 32*x - t*x**2 + 17*x**3 - 4 + 16*x**3 - 34*x**2 + 16*x**3.
(x - 1)*(7*x - 2)**2
Let x(r) be the second derivative of r**8/294 - 3*r**7/245 + r**6/70 - r**5/210 + 3*r**2/2 + 2*r. Let d(m) be the first derivative of x(m). Solve d(o) = 0.
0, 1/4, 1
Let k = -7 - -14. What is i in -12*i + 9*i**2 - k - 3*i - 3 + 4 = 0?
-1/3, 2
Let y(q) be the first derivative of 3 + 0*q**2 - 2/3*q**3 + 1/2*q**4 + 0*q. Factor y(w).
2*w**2*(w - 1)
Let i(v) be the third derivative of -1/42*v**4 - 1/21*v**3 + 4*v**2 + 0*v + 0 - 1/210*v**5. Factor i(k).
-2*(k + 1)**2/7
Suppose 7*t**2 - 2*t**2 + 2*t - 7*t = 0. Calculate t.
0, 1
Let n(h) be the first derivative of 3 - 4*h - 1/6*h**2 + 1/36*h**3 + 1/72*h**4. Let w(c) be the first derivative of n(c). Factor w(v).
(v - 1)*(v + 2)/6
Let b be ((-57)/(-38))/(2*(-2)/(-8)). Factor 1/5*r**5 - 3/5*r + 1/5 - 3/5*r**4 + 2/5*r**2 + 2/5*r**b.
(r - 1)**4*(r + 1)/5
Let i(q) be the second derivative of 0*q**2 + 5/48*q**4 - 1/12*q**3 + 3/80*q**5 + 0 + 9*q. Determine z so that i(z) = 0.
-2, 0, 1/3
Factor 2/11*w**4 + 0*w + 2/11*w**3 - 4/11*w**2 + 0.
2*w**2*(w - 1)*(w + 2)/11
Let o(u) = 23*u**2 + 9*u. Suppose 7*b = 4*b. Suppose 4*n + 52 = -b*n. Let q(z) = 11*z**2 + 4*z. Let i(s) = n*q(s) + 6*o(s). Factor i(m).
-m*(5*m - 2)
Let w(m) = -m**3 + 13*m**2 - 77*m + 123. Let n(u) = -5*u**3 + 64*u**2 - 386*u + 614. Let i(f) = -2*n(f) + 11*w(f). Factor i(b).
-(b - 5)**