et h(t) be the first derivative of t**6/14 + 3*t**5/35 - 15*t**4/28 - t**3/7 + 12*t**2/7 - 12*t/7 - 19. What is u in h(u) = 0?
-2, 1
Let v(w) be the first derivative of w**4/22 - 2*w**3/11 + 8*w/11 + 10. What is z in v(z) = 0?
-1, 2
Let d = 13 + -3. Let n be ((-26)/d + 3)*1. Factor 0*l**2 + 0 + 2/5*l - n*l**3.
-2*l*(l - 1)*(l + 1)/5
Solve 16441*a**3 + a**2 - 3*a**4 - 12*a + 4 - 16429*a**3 - 2*a**4 = 0.
-1, 2/5, 1, 2
Let g be (-24)/(5 + -12 + 0). Find v such that 18/7*v**3 + 0*v + 0 - g*v**4 - 4/7*v**2 + 10/7*v**5 = 0.
0, 2/5, 1
Suppose -5*s + 57 = -4*d, 0 = -5*s - 4*d + 108 - 35. Let w = -8 + s. Find k such that -3*k**5 + 2*k**4 - k**5 + 2*k**w = 0.
0, 1
Suppose -2 - 24 = 3*p + 4*i, 4*i - 58 = 3*p. Let w be 16/12*(-3)/p. Factor w*a**3 - 6/7*a**2 + 6/7*a - 2/7.
2*(a - 1)**3/7
Let x(i) be the second derivative of i**4/84 - 5*i**3/21 + 25*i**2/14 + 10*i - 1. Factor x(d).
(d - 5)**2/7
Let l = 568/581 + -10/83. Factor 2/7*k + 0 - 2/7*k**4 - 6/7*k**2 + l*k**3.
-2*k*(k - 1)**3/7
Suppose l = 3*d - 4, -d + 6 = d. Let j(t) be the third derivative of 0 - 2*t**2 + 0*t + 1/6*t**3 + 1/60*t**l + 1/12*t**4. Find s such that j(s) = 0.
-1
Suppose -2*z**3 + 0 - 4/3*z**2 + 0*z + 10/3*z**4 = 0. Calculate z.
-2/5, 0, 1
Let x be 1/(-2)*4/(-18)*4. Factor 2/9 + 2/9*j**2 - x*j.
2*(j - 1)**2/9
Let q be 2/2 + -1 + 0. Suppose -5*b - 1 = -3*d, 0 = 5*b - 5 - q. Factor w - d*w - w**2 + 0*w**2 + w**3 + w**4.
w*(w - 1)*(w + 1)**2
Let d(h) = h**3 - 5*h**2 + 8*h - 5. Let c be d(5). Suppose 3*m - c + 26 = 0. Factor 2/3*n**2 - 2/3*n**4 - 2/3*n + 2/3*n**m + 0.
-2*n*(n - 1)**2*(n + 1)/3
Let g(v) = -4*v**4 + 4*v**2 - 3*v. Let l(a) be the second derivative of -a**6/30 + a**4/12 - a**3/6 + 4*a. Let z(x) = g(x) - 3*l(x). Solve z(c) = 0 for c.
-1, 0, 1
Let m = 885/4 - 219. Factor m*c**2 - 1/4*c**3 - 27/4*c + 27/4.
-(c - 3)**3/4
Let d(q) be the first derivative of q**3 + 1/5*q**5 + 0*q - 3/4*q**4 + 5 - 1/2*q**2. Solve d(c) = 0.
0, 1
Suppose -9*a - 3 + 30 = 0. Factor 0*x - 1/2*x**4 + 0*x**2 + 0 + 1/2*x**a.
-x**3*(x - 1)/2
Let a(c) be the third derivative of -5*c**8/336 - 32*c**7/105 - 361*c**6/150 - 652*c**5/75 - 184*c**4/15 - 128*c**3/15 + c**2. Factor a(w).
-(w + 4)**3*(5*w + 2)**2/5
Factor 2*a**5 - 2*a**3 - 6000*a + 4*a**4 - 4*a**2 + 6000*a.
2*a**2*(a - 1)*(a + 1)*(a + 2)
Let t(h) be the second derivative of -1/12*h**4 + 0 - 2*h - 1/12*h**3 + 0*h**2 - 1/40*h**5. Determine p so that t(p) = 0.
-1, 0
Let s = -2349/5 - -470. Solve 1/5*y**2 - s*y - 2/5 = 0 for y.
-1, 2
Let v be -1 + 2 + 1062/27. Let u = 41 - v. What is s in 4/3*s - 2/3 - u*s**2 = 0?
1
Let 0 + 9/2*r**3 - 3*r**2 - 3/2*r**4 + 0*r = 0. Calculate r.
0, 1, 2
Factor -1/6*y - 1/6*y**2 + 1/3.
-(y - 1)*(y + 2)/6
Suppose -9*c**2 + 9 + 3/2*c - 3/2*c**3 = 0. Calculate c.
-6, -1, 1
Let s = 99/2 + -49. Let s*o - 1/2*o**3 + 1/2 - 1/2*o**2 = 0. Calculate o.
-1, 1
Suppose -3*k + 107 = -73. Let p be (2/10)/(10/k). Solve 0 + 2/5*g**3 - 6/5*g**4 - 2/5*g + p*g**2 = 0 for g.
-1, 0, 1/3, 1
Determine s so that -16*s**2 + 2 - 4 + 15*s**2 + 3*s = 0.
1, 2
Let x(n) be the first derivative of 5*n**4/12 - n**3/2 - n**2 - 2*n - 1. Let w(u) be the first derivative of x(u). Factor w(c).
(c - 1)*(5*c + 2)
Let o(a) = a**2 + a - 1. Let w(q) = 7*q**2 - 21*q + 33. Let r(i) = -3*o(i) + w(i). Factor r(s).
4*(s - 3)**2
Factor 2/7 + 2/7*o**2 - 4/7*o.
2*(o - 1)**2/7
Let m be ((-1)/2)/((-5)/1). Let u(x) be the second derivative of 0*x**2 + 0 - 5/48*x**4 + 1/24*x**3 - 1/30*x**6 - x + m*x**5. Suppose u(o) = 0. What is o?
0, 1/2, 1
Find k, given that -2*k**2 + 4 + 2*k**2 - 2*k - 2*k**2 = 0.
-2, 1
Let x(i) be the third derivative of -i**6/60 + 2*i**5/15 - i**4/12 - 2*i**3 - i**2 - 3*i. Factor x(u).
-2*(u - 3)*(u - 2)*(u + 1)
Let p(k) = -3*k**4 - k**4 + 3*k**4 + k - k**2. Suppose 0 = -10*n + 8*n + 8. Let v(q) = 11*q**4 - 5*q**3 - 5*q**2 + q + 2. Let s(h) = n*p(h) + v(h). Factor s(u).
(u - 1)**2*(u + 1)*(7*u + 2)
Let i be (-33)/(-12) - 3/(-12). Suppose i - 19 = -4*c. Factor j**3 - j**c - 2*j**3 - j**3 + 3*j**3.
-j**3*(j - 1)
Suppose -5*b = 2*v - 20, 0 = b + 4*b + 3*v - 20. Let a(j) = j**3 - 3*j**2 - 3*j - 1. Let p be a(b). Solve p*t - 2*t**2 - 3*t + 4*t**2 = 0.
0
Let n(m) = -m**2 + 1. Let z(o) = 14*o**2 - 2*o - 3. Let q(k) = 6*n(k) + 2*z(k). Factor q(l).
2*l*(11*l - 2)
Let z(p) = 4*p**3 - 2*p. Let q(y) be the first derivative of y**5/5 + y**4/4 - y**2/2 - 8. Let h(n) = 2*q(n) - z(n). Factor h(g).
2*g**3*(g - 1)
Suppose -4 - 12 = -2*s. Suppose 0 = -3*m + m + s. Factor -27*r**3 - 13*r**2 - 3*r**5 - 23*r**4 - m*r + 2*r - 4*r**5.
-r*(r + 1)**3*(7*r + 2)
Let m(w) = w**5 + w**3 + w + 1. Let g(l) = 15*l**5 - 5*l**4 + 25*l**3 + 5*l**2 + 20*l + 20. Let x(t) = -g(t) + 20*m(t). What is f in x(f) = 0?
-1, 0, 1
Find o such that 8*o**2 - 12*o**2 - 12 + 12*o + 4 = 0.
1, 2
Let v = 1 - -3. Factor v*p**2 - 5*p - 2*p - 2*p**2 + 5*p.
2*p*(p - 1)
Let w = 5 + 11. Let q be ((3 + -7)/2)/(-1). Let -14*l - w - 12*l**2 - 13*l - q*l**3 + 3*l = 0. Calculate l.
-2
Let i(q) = -q**4 + 8*q**2 + 0*q**4 - 3*q**2 - 4*q**2. Let g(p) = 0*p**3 + 4*p**2 - 2*p**4 + 2*p**3 - 4*p**4. Let o(d) = g(d) - 4*i(d). Factor o(v).
-2*v**3*(v - 1)
Let w(t) = -24*t**3 - 64*t**2 - 11*t + 16. Let n(g) = -12*g**3 - 32*g**2 - 6*g + 8. Let r(j) = 13*n(j) - 6*w(j). Factor r(f).
-4*(f + 1)*(f + 2)*(3*f - 1)
Let l(m) be the first derivative of -1/4*m**2 - 25/24*m**4 - 3*m + 5/6*m**3 - 1. Let j(u) be the first derivative of l(u). Let j(t) = 0. Calculate t.
1/5
Let w(a) be the second derivative of a**8/40320 - a**6/4320 + a**4/3 - 2*a. Let v(p) be the third derivative of w(p). Factor v(m).
m*(m - 1)*(m + 1)/6
Let s(t) be the first derivative of t**6/1620 + t**5/270 + t**4/108 + t**3/3 - 3. Let j(o) be the third derivative of s(o). Factor j(m).
2*(m + 1)**2/9
Factor -35*a**3 + 160*a - 160 + 50*a**2 + 5*a**4 - 8*a**2 - 12*a**2.
5*(a - 4)**2*(a - 1)*(a + 2)
Factor -32/3 + 16/3*h - 2/3*h**2.
-2*(h - 4)**2/3
Determine z so that 8/17*z**3 + 2/17*z**4 + 6/17*z**2 - 8/17*z - 8/17 = 0.
-2, -1, 1
Let f(n) be the first derivative of n**5 - 15*n**4/4 + 5*n**3/3 + 15*n**2/2 - 10*n - 54. Solve f(h) = 0.
-1, 1, 2
Let g(t) be the first derivative of t**6/12 + t**5/4 - 5*t**4/16 - 5*t**3/12 + 3*t**2/8 - 9. Let g(y) = 0. Calculate y.
-3, -1, 0, 1/2, 1
Let w be 54/12*(-20)/(-45). Factor -9/2*q**4 - 1/2*q**2 + 0 + 0*q - 3*q**3 - w*q**5.
-q**2*(q + 1)**2*(4*q + 1)/2
Let j(w) be the first derivative of -1/2*w**2 - w**3 - 3 + 2*w. Determine c so that j(c) = 0.
-1, 2/3
Determine g, given that 0 - 1/7*g**3 + 2/7*g**2 - 1/7*g = 0.
0, 1
Suppose 2*y - y = 0. Determine a, given that a**5 + 3*a**5 + y*a**5 - 6*a**5 = 0.
0
Let j = -9/7 - -61/42. Let d(h) be the second derivative of -1/15*h**6 + 0*h**3 - 2*h + j*h**4 + 0 - 1/10*h**5 + 0*h**2 + 1/21*h**7. Solve d(k) = 0 for k.
-1, 0, 1
Let 2/7 - 2/7*p**3 - 6/7*p + 6/7*p**2 = 0. Calculate p.
1
Let o(l) = l - 7. Let c be o(11). Let n(k) be the second derivative of -7/40*k**5 + 1/2*k**c - 1/2*k**2 - 1/4*k**3 - 2*k + 0. Determine q, given that n(q) = 0.
-2/7, 1
Let r(h) be the second derivative of 2*h**7/21 + h**6/5 + h**5/80 - h**4/8 + h**3/24 - 6*h. Solve r(j) = 0.
-1, 0, 1/4
Let o be (2/6)/((-4)/24). Let v be 18/20 + o/4. Factor 2/5*z**2 - 2/5 - v*z + 2/5*z**3.
2*(z - 1)*(z + 1)**2/5
Let w(v) be the second derivative of -2/3*v**2 + 1/9*v**3 - 4*v + 1/18*v**4 + 0. Let w(b) = 0. What is b?
-2, 1
Let w be (-2)/10*-4 + -3 + 3. What is s in 2/5 - 6/5*s**2 - 2/5*s**3 + w*s**4 + 2/5*s = 0?
-1, -1/2, 1
Let y be 2 + (-4 - 0) + 17. Solve 31*k**4 - 15*k**4 - 2*k**3 - y*k**4 + k**2 = 0 for k.
0, 1
Let u be 170/255*((-12)/10)/(-2). Factor -4/5*r + u*r**2 + 0.
2*r*(r - 2)/5
Let h(f) = -3*f**4 + 7*f**3 - f**2 - 2*f + 9. Let w = 10 - 13. Let s(o) = 2*o**4 - 4*o**3 + o - 5. Let y(v) = w*h(v) - 5*s(v). Factor y(r).
-(r - 1)**2*(r + 1)*(r + 2)
Factor 6*x**4 - 3 - 5*x + 8*x + 3 - 6*x**2 - 3*x**5.
-3*x*(x - 1)**3*(x + 1)
Factor 0*o - 2/3*o**2 + 0.
-2*o**2/3
Let m = 59 - 55. Let t(u) be the third derivative of -3*u**2 - 1/24*u**m + 1/15*u**5 - 1/105*u**7 + 0*u + 0 - 1/336*u**8 - 1/3*u**3 + 1/60*u**6. Solve t(n) = 0.
-2, -1, 1
Let t(x) be the third derivative of -5/96*x**4 - 1/24*x**3 + x**2 + 0 - 7/240*x**5 + 0*x - 1/160*x**6. What is m in t(m) = 0?
-1, -1/3
Suppose -5*j + 2*j + 6 = 0. Let d be j/(-2) - (-4 - -1). Solve 2/3 - o**d + 5/3*