k**2. Let c(y) be the second derivative of b(y). Factor c(o).
-4*(o - 1)**2/5
Let u = -18 + 20. Factor -4*m**2 - 3*m**2 + m**2 + 2*m**u.
-4*m**2
Let w(t) be the first derivative of -2*t**5/5 + t**4 + 8*t**3/3 - 2*t**2 - 6*t + 11. Let w(x) = 0. Calculate x.
-1, 1, 3
Let h(a) be the third derivative of -1/120*a**6 - 1/140*a**7 + 1/16*a**4 + 1/60*a**5 - a**2 + 0*a - 1/672*a**8 + 0 + 1/12*a**3. Factor h(o).
-(o - 1)*(o + 1)**4/2
Let p(k) = -7*k**2 + k + 11. Let z(s) = 34*s**2 - 6*s - 54. Let h(t) = -14*p(t) - 3*z(t). Find v, given that h(v) = 0.
-1, 2
Let w(s) be the second derivative of s**6/1440 + s**5/480 - s**4/48 - s**3/6 + 4*s. Let h(j) be the second derivative of w(j). Suppose h(t) = 0. Calculate t.
-2, 1
Let j be ((-6)/27)/(2 + 62/(-30)). Factor j*f**3 + 8/3*f**4 + 0 + 0*f + 2/3*f**2.
2*f**2*(f + 1)*(4*f + 1)/3
Factor -2*g - 3*g**3 + 3*g**2 + 5*g**3 - 3*g**2.
2*g*(g - 1)*(g + 1)
Let m(x) be the second derivative of x**5/20 - 5*x**4/12 + 5*x**2/2 - x. Let o be m(5). Suppose 11*g - 8*g - 2*g**3 - 3*g + 2*g**o = 0. Calculate g.
-1, 0, 1
Let t(v) be the third derivative of 2*v**7/105 - 2*v**6/15 + v**5/3 - v**4/3 - 14*v**2. Find s such that t(s) = 0.
0, 1, 2
Let g be ((-10)/(-7))/((-1)/(-7)). Let n = -5 + g. Factor -4*f**2 - f**4 + 2*f + 7*f**2 + 5*f**n - 7*f**3 + 0*f**5 - 2*f**4.
f*(f - 1)**2*(f + 1)*(5*f + 2)
Let d(p) be the second derivative of p**5/300 - p**4/60 + p**3/30 - 3*p**2/2 - 2*p. Let t(q) be the first derivative of d(q). Find a such that t(a) = 0.
1
Let l(o) be the third derivative of -o**7/3780 - o**6/540 - o**5/180 - o**4/108 - o**3/6 - o**2. Let p(j) be the first derivative of l(j). Factor p(a).
-2*(a + 1)**3/9
Let g(s) be the first derivative of 3/2*s**4 - 1 - 8/3*s**3 + 4*s - 5*s**2. Find j, given that g(j) = 0.
-1, 1/3, 2
Factor 0*c**2 + 6/7*c - 4/7 - 2/7*c**3.
-2*(c - 1)**2*(c + 2)/7
Let j = 1 - -4. Suppose 5*n + j*m = 6 - 1, 0 = -3*n + m + 7. Suppose -2*t**2 + n*t + 2*t + 0*t = 0. What is t?
0, 2
Let v(s) be the third derivative of s**8/168 + 2*s**7/105 - s**6/30 - 4*s**5/15 - 7*s**4/12 - 2*s**3/3 - 4*s**2. Factor v(z).
2*(z - 2)*(z + 1)**4
Let u be 2/6 - (-13)/78. Let -u*d**2 + 3/2*d - 1 = 0. What is d?
1, 2
Let t(n) = n + 10. Let d = -24 - -17. Let h be t(d). Factor 0 + 0*g - 2/3*g**2 + 2/3*g**h.
2*g**2*(g - 1)/3
Let t(v) be the second derivative of v**6/720 - v**2 + 6*v. Let p(z) be the first derivative of t(z). Factor p(x).
x**3/6
Let 2 - 3*b**2 + 4*b**2 + 4*b**2 - 7*b**2 = 0. What is b?
-1, 1
Suppose -2*b**5 + 0*b - 27*b**4 - 42*b**3 - 24*b + 8*b**5 + 6*b**5 + 108*b**2 = 0. Calculate b.
-2, 0, 1/4, 2
Let -4*p - 16*p**4 + 2*p**5 - 16*p**2 - 118 - 24*p**3 + 118 - 6*p**5 = 0. Calculate p.
-1, 0
Let u(q) be the first derivative of 0*q + 1/2*q**2 - 1 - 1/3*q**3. Factor u(z).
-z*(z - 1)
Let q(l) be the second derivative of l**3 + 0 + 3/2*l**2 + 1/4*l**4 + 4*l. Let q(x) = 0. What is x?
-1
Suppose -2*x + 3*x = 4. Find r, given that -5*r**2 - 3*r + 0*r**2 + 30*r**5 + 21*r**4 + 14*r**3 + 26*r**x + r = 0.
-1, -1/2, -2/5, 0, 1/3
Let l(b) = -b**4 - b**3 + b. Let g(w) = 21*w**4 + 41*w**3 + 24*w**2 + 8*w. Let c(f) = -g(f) + 4*l(f). Suppose c(z) = 0. What is z?
-1, -2/5, 0
Suppose -g**5 + 5/4*g**4 + 0 - 1/4*g**3 + 0*g**2 + 0*g = 0. What is g?
0, 1/4, 1
Let -8/3*n**2 + 4/3 + 0*n + 0*n**3 + 4/3*n**4 = 0. Calculate n.
-1, 1
Let d = 1/4010 - -741847/12030. Let p = d - 61. Factor 2/3*j**3 - 2/3 - p*j + 2/3*j**2.
2*(j - 1)*(j + 1)**2/3
Suppose 19 = q + 3. Solve -3*i + q - 27*i**4 - 16 + 2*i - 9*i**2 - 27*i**3 = 0.
-1/3, 0
Find l, given that 0*l**4 - 2/3*l**5 + 2/3*l**3 + 0 + 0*l**2 + 0*l = 0.
-1, 0, 1
Solve 2/5*l**2 + 1/5*l**5 + 0*l**3 - 1/5*l - 2/5*l**4 + 0 = 0.
-1, 0, 1
Let x(d) be the first derivative of -d**7/168 + d**6/60 - d**5/80 - 2*d + 3. Let p(l) be the first derivative of x(l). Solve p(s) = 0.
0, 1
Let d(x) be the second derivative of x**6/240 + x**5/20 + x**4/4 + 2*x**3/3 - 4*x**2 + 2*x. Let k(j) be the first derivative of d(j). Let k(u) = 0. What is u?
-2
Factor 3*s + 10 + 3*s**2 - 22 - 3*s.
3*(s - 2)*(s + 2)
Suppose 1 = -17*k + 69. Find r such that 111/2*r**k + 201/2*r**2 - 42*r - 21/2*r**5 + 6 - 219/2*r**3 = 0.
2/7, 1, 2
Let b = -8/5 - -21/10. Suppose -3/4*t + 5/4*t**2 - b = 0. Calculate t.
-2/5, 1
Let a be 12/18 - ((-22)/(-6) + -3). Factor -4/7*b**4 + 0*b**2 + a*b + 0*b**3 + 4/7*b**5 + 0.
4*b**4*(b - 1)/7
Let o(v) be the second derivative of v**6/60 - v**4/12 + v**2/2 + v. Let d(x) be the first derivative of o(x). Factor d(l).
2*l*(l - 1)*(l + 1)
Let x(f) = 3*f + 1. Let u be x(-7). Let v be (u/(-16) - 2) + 1. Factor -1/2*y + 1/4 + v*y**2.
(y - 1)**2/4
Factor 0*d + 0 - 1/9*d**2.
-d**2/9
Let h(l) = -2*l**3 - 9*l**2 + 8. Let d(u) = 12*u**3 + 53*u**2 - 48. Let q(g) = 6*d(g) + 34*h(g). Find v, given that q(v) = 0.
-2, 1
Find y, given that -12/5*y + 6/5*y**2 + 12/5*y**3 + 3/5*y**4 - 9/5 = 0.
-3, -1, 1
Solve -4/13*l**2 - 2/13*l**3 + 14/13*l - 8/13 = 0 for l.
-4, 1
Factor 0 + 1 - k**3 + 0*k**3 - 3*k - 3*k**2 + 6*k**2.
-(k - 1)**3
Let p(c) be the first derivative of -1/15*c**6 + 4*c + 1/2*c**4 - 2/3*c**3 + 0*c**2 - 2 + 0*c**5. Let l(x) be the first derivative of p(x). Solve l(f) = 0.
-2, 0, 1
Suppose 0 = -7*k + 4*k. Let q(c) be the second derivative of 3/80*c**5 - 5/48*c**4 + k + 1/24*c**3 - 2*c + 1/8*c**2. Factor q(r).
(r - 1)**2*(3*r + 1)/4
Suppose 8*l - 4*c - 3 = 3*l, l - 15 = -4*c. Let g = l - 1. Factor -g*t + 2*t**2 - 5*t**2 + t**2 + 0*t**2.
-2*t*(t + 1)
Let b(j) be the first derivative of -2*j**5/15 + 2*j**3/9 - 4. Determine l, given that b(l) = 0.
-1, 0, 1
Let o be (-1 - -1*1)/1. Suppose 5*a - 8*a = -6. Determine p so that o*p + 1/3*p**3 + 1/3*p**a + 0 = 0.
-1, 0
Let h be 4 + 51*6/(-81). Let a be 24/63 - 2/(-7). Factor -a*y**2 + h*y**3 - 2/9 + 2/3*y.
2*(y - 1)**3/9
Suppose -21 = -4*c - 5. Solve -k**5 + k**c + 3*k**3 - k**3 - k + 1 + 0*k - k**2 - k**2 = 0.
-1, 1
Let a(n) = n**2 + 4. Let x be a(4). Suppose -4*g + x = 4. Factor -6*t + 2*t**2 - 8 + g - 4*t**2.
-2*(t + 1)*(t + 2)
Suppose -17 - 3 = -5*b. Let s(m) be the third derivative of 1/24*m**b + 0*m**3 - m**2 + 0 + 0*m - 11/120*m**5. Factor s(g).
-g*(11*g - 2)/2
Suppose -2*j = 2*l - 4, -3*l + 7*l - 16 = 4*j. Factor y**2 - 3*y - y - y**l - 5*y**2.
-y*(y + 2)**2
Let f(t) be the second derivative of 2*t**7/21 - 2*t**5/5 + 2*t**3/3 + 10*t. Solve f(g) = 0 for g.
-1, 0, 1
Let l(c) = -17*c**2. Suppose n + 2*n = 39. Let b(m) = 8*m**2. Let a(g) = n*b(g) + 6*l(g). Factor a(y).
2*y**2
Let t(z) = z**3 + 3*z**2 + 3*z - 3. Let u be t(-4). Let k = -29 - u. Let 0*w - 2/7 + 2/7*w**k = 0. What is w?
-1, 1
Suppose 0 = -8*i + 9*i - 9. Let k be (i/15)/((-9)/(-20)). Factor 0 - 2/3*n**5 + 0*n**2 + 2*n**4 + 0*n - k*n**3.
-2*n**3*(n - 2)*(n - 1)/3
Let c(b) be the second derivative of b**4/6 + b**3 - b**2 + 8*b. Let d(w) = -w**3 - 4*w**2 - 13*w + 5. Let y(j) = -5*c(j) - 2*d(j). Solve y(i) = 0 for i.
-1, 0, 2
Solve -4 + 26/3*v + 14/3*v**3 + 52/3*v**2 = 0.
-3, -1, 2/7
Let n(j) = -j**5 + j**3 - j + 1. Let d(r) = -r**4 + r**2 - r + 1. Let h(c) = d(c) - n(c). Solve h(v) = 0.
-1, 0, 1
Let j(m) = -2*m**2 - 7 + 15*m - 4*m + 1 + 4*m**2 - 7*m**3. Suppose 0 = i - 0*i + 1. Let z(v) = -v + 1. Let h(k) = i*j(k) - 4*z(k). Solve h(y) = 0.
-1, 2/7, 1
Let l(n) be the first derivative of -n**7/1050 + n**6/300 + n**5/300 - n**4/60 - 9*n**2/2 - 7. Let a(y) be the second derivative of l(y). Factor a(k).
-k*(k - 2)*(k - 1)*(k + 1)/5
Let c(o) be the third derivative of -o**6/120 - o**5/60 + o**4/24 + o**3/6 + 4*o**2. Factor c(k).
-(k - 1)*(k + 1)**2
Let m(i) be the third derivative of -i**7/5040 + i**5/240 - i**4/8 + 3*i**2. Let w(h) be the second derivative of m(h). Factor w(c).
-(c - 1)*(c + 1)/2
Let j be (-6)/(-15) + (-58)/(-5). Factor -15/2*v**2 - 6 + j*v + 3/2*v**3.
3*(v - 2)**2*(v - 1)/2
Let b(q) be the third derivative of 0*q**3 + 0*q + 0 + 5*q**2 - 1/240*q**5 - 1/48*q**4. Factor b(v).
-v*(v + 2)/4
Factor 12/7 + 8/7*y**2 - 4*y.
4*(y - 3)*(2*y - 1)/7
Let z(m) be the third derivative of -m**5/12 + 10*m**3/3 - 24*m**2. Solve z(w) = 0 for w.
-2, 2
Let f(x) be the second derivative of 0 - 1/20*x**5 - 1/36*x**4 + 0*x**3 + 0*x**2 - 2*x. Factor f(u).
-u**2*(3*u + 1)/3
Let w(j) = -2*j - 8. Let h be w(-6). Suppose -3*n + 2*u = n - 18, 3*u - 23 = -4*n. Factor -5*p**h + 2*p + n*p**4 - 2*p**3 + 6*p**4 - 6*p**2.
2*p*(p - 1)*(