2*h**4 + 1/120*h**7 + 1/1344*h**8 + 0 + 0*h - 3/40*h**5. Suppose s(o) = 0. Calculate o.
-3, 1
Suppose -1/4*r**4 - 1/4*r**3 + 0 + 0*r + 1/4*r**5 + 1/4*r**2 = 0. Calculate r.
-1, 0, 1
Let y(l) be the first derivative of l**5 + 15*l**4/4 - 15*l**3 + 25*l**2/2 + 39. Determine k so that y(k) = 0.
-5, 0, 1
Let x(q) be the third derivative of q**8/23520 + q**4/12 + 6*q**2. Let d(f) be the second derivative of x(f). Factor d(b).
2*b**3/7
Let h(q) be the second derivative of 0 + 1/33*q**7 - 20/33*q**4 - 2/11*q**6 + 5/11*q**5 - 2/11*q**2 + 5/11*q**3 + q. Factor h(k).
2*(k - 1)**4*(7*k - 2)/11
Let x(l) be the first derivative of -3 - 1/3*l**4 + 0*l - 8/15*l**5 + 5/6*l**3 + 3/4*l**2. Factor x(j).
-j*(j - 1)*(4*j + 3)**2/6
Let u(r) be the first derivative of 1/22*r**4 + 3 - 2/33*r**3 + 0*r + 0*r**2. What is t in u(t) = 0?
0, 1
Let l(m) be the third derivative of 0*m**3 + 0*m - 1/1680*m**8 + 1/300*m**5 + 0 + 2*m**2 - 1/1050*m**7 + 1/600*m**6 + 0*m**4. Factor l(j).
-j**2*(j - 1)*(j + 1)**2/5
Let j(h) = 3*h**2 - 30*h + 75. Let w(f) = 3*f**2 - 30*f + 75. Let v(d) = 7*j(d) - 6*w(d). Determine q, given that v(q) = 0.
5
Let o(z) be the third derivative of z**5/45 - z**4/6 + 4*z**3/9 - 5*z**2. Factor o(r).
4*(r - 2)*(r - 1)/3
Let v be (1 - 1)/(2 - -1). Let k be v/(-1 - 0 - -2). Factor -2/3*q**4 + k*q - 2/3*q**2 + 4/3*q**3 + 0.
-2*q**2*(q - 1)**2/3
Let r = 569/4 + -140. Factor -3/2*y - 1/4*y**2 - r.
-(y + 3)**2/4
Solve 3*l - 3/2 - 3/2*l**2 = 0.
1
Suppose 0 = 2*c + c - 3*d - 21, -2*c - d = -2. Let c*g**2 - 6*g**2 + 0 - 6*g - 3 = 0. What is g?
-1
Factor 15/8 + 3/8*j**3 - 3/8*j - 15/8*j**2.
3*(j - 5)*(j - 1)*(j + 1)/8
Let i(z) be the second derivative of z**6/1440 + z**5/240 + z**3/2 - 3*z. Let q(c) be the second derivative of i(c). Suppose q(y) = 0. What is y?
-2, 0
Let z(m) be the second derivative of m**7/63 - m**6/9 + m**5/5 + 2*m**4/9 - 8*m**3/9 + 31*m. Factor z(c).
2*c*(c - 2)**3*(c + 1)/3
Let z = -365 + 1097/3. Let -1/3*u**2 - z - u = 0. What is u?
-2, -1
Let m(f) be the second derivative of -f**6/15 - 3*f**5/10 - f**4/2 - f**3/3 - 5*f. Let m(d) = 0. Calculate d.
-1, 0
Let c be (-3)/2*8/(-3). Suppose 9 - 1 = c*v. Factor -v*k + 2*k**3 + 2*k - 2*k.
2*k*(k - 1)*(k + 1)
Factor 2*w - 21*w + 52*w**2 - 14*w**3 - 21*w - 16.
-2*(w - 2)**2*(7*w + 2)
Let w be (2 + 2/(-1))/(-1). Let l be 1*(w - 0)*1. Factor l + 0*k**2 - 2/7*k**3 + 2/7*k.
-2*k*(k - 1)*(k + 1)/7
Let l(w) be the first derivative of 2/9*w**3 + 0*w + 7 + w**2. Suppose l(s) = 0. What is s?
-3, 0
Suppose 2 = -5*h + 6*h. Suppose -m + y = 2*y - 3, 9 = h*m + 5*y. Factor 2*b**2 - 4*b - b**m + 3*b.
b*(b - 1)
Let j(x) be the second derivative of x**7/420 - x**5/60 + x**3/12 - 3*x**2/2 - x. Let o(y) be the first derivative of j(y). Let o(r) = 0. Calculate r.
-1, 1
Let r(b) be the second derivative of b**6/15 + b**5/10 + 2*b. Factor r(y).
2*y**3*(y + 1)
Let l(x) = -6*x**4 - 6*x**3 - 6*x**2. Let k = 3 + -7. Let r(u) = 7*u**4 + 5*u**3 + 5*u**2 - u. Let a(c) = k*l(c) - 3*r(c). Determine z so that a(z) = 0.
-1, 0
Let o(x) be the second derivative of 4*x**7/315 - x**6/20 + x**5/15 - x**4/36 + 7*x**2/2 - x. Let z(w) be the first derivative of o(w). Solve z(v) = 0 for v.
0, 1/4, 1
Let g(m) be the third derivative of m**6/24 + 5*m**5/12 + 5*m**4/3 + 10*m**3/3 - 17*m**2. Solve g(d) = 0 for d.
-2, -1
Let q(a) be the second derivative of -a**7/35 + 2*a**6/15 - 7*a**5/30 + a**4/6 - a**2 + a. Let c(l) be the first derivative of q(l). Factor c(r).
-2*r*(r - 1)**2*(3*r - 2)
Suppose f = 4*f - 12. Suppose -3*p**2 + 1 + 6*p**2 - 4*p**2 - 4 + f*p = 0. Calculate p.
1, 3
Let k(b) be the third derivative of b**6/45 - 4*b**5/45 + 5*b**4/36 - b**3/9 + 6*b**2. Factor k(a).
2*(a - 1)*(2*a - 1)**2/3
Solve -48*a**2 + 2*a**3 - 78*a**2 + 0*a**3 + 75*a - 12 + 25*a**3 = 0.
1/3, 4
Let y(p) be the second derivative of p**7/5 + p**6/75 - p**5/25 - 4*p. Find z such that y(z) = 0.
-1/3, 0, 2/7
Suppose -3*t + 6*t = 0. Suppose f + 0*f = t. Factor 0*s**2 + 0*s + f + 0*s**3 + 2/13*s**5 - 2/13*s**4.
2*s**4*(s - 1)/13
Suppose -4*u + 43 = -5. Suppose -u = -t - t. Solve k**2 - 6 + t + k = 0 for k.
-1, 0
Let i(j) be the third derivative of j**5/60 - j**4/4 + 5*j**3/6 - 5*j**2. Factor i(x).
(x - 5)*(x - 1)
Let u be (-2)/8 - (-36)/16. Find b such that -2*b**2 + 2*b**2 + 0*b - b + b**u = 0.
0, 1
Let s be 13*(1 + (1 - 1)). Factor s + 2*h**2 - 13 + 4*h.
2*h*(h + 2)
Let p(s) = s**4 + s**3 - s**2 + s + 1. Let z(m) = -2*m**4 + 2*m**3 - 4*m + 1. Let h(y) = 5*p(y) + 5*z(y). Suppose h(o) = 0. Calculate o.
-1, 1, 2
Suppose -2*h - 2*j = -6, -4*h - 25 + 10 = -5*j. Factor h*i - 1/2*i**2 + 0.
-i**2/2
Let l(a) be the second derivative of -2*a**7/21 - 2*a**6/5 - 3*a**5/5 - a**4/3 + 9*a. Determine t, given that l(t) = 0.
-1, 0
Let d be -47 + 51 - 64/18. Factor -2/3*v - d - 2/9*v**2.
-2*(v + 1)*(v + 2)/9
Let o(w) = w**3 + w**2 + 3. Let g be o(0). Let 12*f**3 + 2 - 2 + 4*f**2 - 10*f**g = 0. What is f?
-2, 0
Let q(h) be the second derivative of -3*h**5/100 - h**4/5 + h**3/2 - 27*h. Factor q(y).
-3*y*(y - 1)*(y + 5)/5
Suppose 0 = -4*w - 4, -3*f - 5*w + 2 = -2. Let s = -1 + f. Determine t, given that 0*t + t**4 - 8*t + 18*t**3 + 4*t**4 + 12*t**s = 0.
-2, 0, 2/5
Let o(w) = -w. Let l be o(5). Let x = -5 - l. Let -2*b**2 + 0*b + x*b - 2 + 4*b = 0. Calculate b.
1
Factor -4*j**2 + 1/2*j**4 + 0 - 6*j + 1/2*j**3.
j*(j - 3)*(j + 2)**2/2
Let n(w) be the second derivative of -w**5/4 + 5*w**4/12 + 5*w**3/6 - 5*w**2/2 + 4*w. Factor n(c).
-5*(c - 1)**2*(c + 1)
Factor -5*w**3 + 5*w**3 + w**5 - w - 2*w**5 + 2*w**3.
-w*(w - 1)**2*(w + 1)**2
Let z be (-1)/(4 - 27/6). Factor -n**4 + 3*n**z + 5*n**4 - 8*n**3 - n**2 + 2*n**2.
4*n**2*(n - 1)**2
Factor 1/3*l**2 + 0*l - 4/3.
(l - 2)*(l + 2)/3
Factor -7/2*a - 1 + 7/2*a**3 + 5/2*a**4 - 3/2*a**2.
(a - 1)*(a + 1)**2*(5*a + 2)/2
Suppose 5*k + 25 = -5*n, 4*k = 3*n + 33 - 4. Let q be ((-40)/(-70))/((-2)/n). Factor -q*s**2 - 4*s**2 + 6*s**3 - 3*s**3.
3*s**2*(s - 2)
Let w(y) be the first derivative of y**5/20 - y**4/16 - y**3/12 + y**2/8 - 24. Factor w(o).
o*(o - 1)**2*(o + 1)/4
Suppose 2*l = b + 10 - 0, b + 2 = 0. Suppose -3*x - 2 = -3*i + 13, -3*i - x + 23 = 0. Find k, given that 2*k**3 + k**3 - 2*k - k**3 - i*k**2 + 7*k**l = 0.
-1, -2/7, 0, 1
Factor 1/7*j**3 - j**2 + 16/7 + 8/7*j.
(j - 4)**2*(j + 1)/7
Let i be -4 - 4/((-4)/(-29)). Let g be (-3 + 0)*8/i. Factor 8/11*b**4 + 12/11*b**3 + 2/11*b**5 + 2/11*b + g*b**2 + 0.
2*b*(b + 1)**4/11
Let r(f) be the third derivative of -2*f**2 - 1/72*f**4 - 1/180*f**5 + 0*f + 0 + 1/18*f**3 + 1/360*f**6. Factor r(v).
(v - 1)**2*(v + 1)/3
Let 167 - 167 + 3*t**3 - 3*t**2 = 0. What is t?
0, 1
Suppose b - 3*b = -3*s + 10, -s + 5*b = 1. Suppose -s*g + 5*g - 4*i = -13, -5*i + 26 = 2*g. Solve 4 + g*f**2 - 2*f**2 - 3*f - 6 - 2*f**2 = 0 for f.
-2, -1
Let l = 11 - 8. Let t(w) be the first derivative of -1/3*w**l - 1 + w**2 + 0*w. Find i such that t(i) = 0.
0, 2
Let z(q) be the third derivative of q**2 + 1/16*q**4 + 0 - 1/8*q**3 + 1/10*q**5 + 0*q. Determine j, given that z(j) = 0.
-1/2, 1/4
Let n(x) = -9*x**4 + 9*x**3 - 13*x**2 + 13*x - 11. Let q(w) = -w**4 + w**3 - w**2 + w - 1. Let u(j) = 2*n(j) - 22*q(j). Find g such that u(g) = 0.
-1, 0, 1
Let f(q) = q**2 + 10*q - 20. Let c be f(-12). Let k(x) be the third derivative of 1/120*x**5 + 0*x**3 + 0*x + 3*x**2 + 0 + 1/120*x**6 - 1/48*x**c. Factor k(o).
o*(o + 1)*(2*o - 1)/2
Let y(p) be the third derivative of p**8/112 + 3*p**7/35 + 3*p**6/10 + 2*p**5/5 + 25*p**2. Solve y(f) = 0.
-2, 0
Let p(b) be the first derivative of 9/2*b**2 - 2*b**3 - 3/4*b**4 + 0*b - 2. Solve p(l) = 0.
-3, 0, 1
Let z be 8 - (-3 + (1 - -2)). Suppose -3*t - 2*t - 5*c = -20, 2*t + 3*c - z = 0. Let 2/3*w**t + 2/3 + 8/3*w**3 + 8/3*w + 4*w**2 = 0. Calculate w.
-1
Let r be (-18)/(-9)*(-3)/(-2). Let l(g) be the second derivative of 1/6*g**r + 2*g + 0 + 1/24*g**4 + 1/4*g**2. Let l(j) = 0. Calculate j.
-1
Let k(o) = 4*o**4 - 12*o**3 + 4*o**2 + 10. Let y(l) = -l**4 + l**3 - l**2 - 1. Let n(f) = -k(f) - 6*y(f). Let j(c) be the first derivative of n(c). Factor j(p).
2*p*(p + 2)*(4*p + 1)
Let r(j) be the third derivative of -j**5/180 + j**4/12 - j**3/2 + 25*j**2. Factor r(s).
-(s - 3)**2/3
Let t(c) be the first derivative of -2 + 0*c**5 + 1/14*c**4 + 0*c**3 + 0*c - 1/21*c**6 + 0*c**2. Let t(n) = 0. Calculate n.
-1, 0, 1
Let h(v) be t