 1)**2
Let u be (-161)/(-63)*(1 + -7). Let j = -15 - u. Suppose x**3 - x**4 + j*x**5 + 0*x + 0 - 1/3*x**2 = 0. What is x?
0, 1
Let b(p) be the third derivative of -p**8/5040 + p**6/540 - p**4/72 - p**3/3 + 3*p**2. Let w(v) be the first derivative of b(v). Suppose w(f) = 0. Calculate f.
-1, 1
What is u in -1 + 3 + 16*u**3 + 14*u - 6*u**3 + 22*u**2 = 0?
-1, -1/5
Find x such that 1/5*x**4 + x**3 + 4/5*x + 0 + 8/5*x**2 = 0.
-2, -1, 0
Let o be (-30)/(-9) - (-4)/6. Find f, given that -2/5*f**2 + 0 + 0*f - 2/5*f**5 + 2/5*f**o + 2/5*f**3 = 0.
-1, 0, 1
Solve 2/3*j + 0 - 1/6*j**2 = 0 for j.
0, 4
Find l, given that 0 + 1/2*l**2 + 5/2*l**3 - 1/2*l**4 - l - 3/2*l**5 = 0.
-1, 0, 2/3, 1
Let s be (-3*(-3)/54)/((-15)/(-20)). Factor -2/9*i**3 - 4/9*i**2 - s*i + 0.
-2*i*(i + 1)**2/9
Let d(z) = z**3 - 10*z**2 - 2*z + 13. Let j be d(10). Let l be 2/j + 96/42. What is k in 0*k**2 - 2*k + 2*k**l + 2 - k - k = 0?
1
Suppose 6*l - 3*l = 51. Let 20*q**4 + 4*q**5 + 41*q**2 - l + 1 - 45*q**2 + 28*q**3 - 32*q = 0. Calculate q.
-2, -1, 1
Let x(r) be the first derivative of -2/75*r**5 + 0*r + 7 - 2/9*r**3 - 2/15*r**4 - 2/15*r**2. Determine f so that x(f) = 0.
-2, -1, 0
Let j(a) be the second derivative of -1/12*a**4 - 2*a + 0*a**2 - 1/40*a**5 + 0*a**3 + 0. Factor j(m).
-m**2*(m + 2)/2
Let d(q) be the second derivative of 5*q**4/12 + 5*q**3 + 45*q**2/2 + 20*q. Factor d(j).
5*(j + 3)**2
Let x(n) = -n**2 + n + 1. Let b(m) be the first derivative of -m**2 - 3*m + 2. Let t(q) = b(q) + 5*x(q). Let t(w) = 0. What is w?
-2/5, 1
Find y, given that 2/5*y - 6/5*y**5 - 22/5*y**4 - 28/5*y**3 + 2/5 - 12/5*y**2 = 0.
-1, 1/3
Factor -1/3*c + 1/3*c**2 + 0.
c*(c - 1)/3
Let u(x) be the second derivative of -9*x**6/10 + 129*x**5/20 - 13*x**4/2 - 4*x**3 + 21*x. Determine l so that u(l) = 0.
-2/9, 0, 1, 4
Suppose p + 2*z - 37 = 4*z, -92 = -2*p - 5*z. Solve -3*u**3 - u - 35*u**2 + p*u**2 - 2*u = 0.
0, 1
Factor 21*j**3 + 4*j**2 + j**2 + j**2.
3*j**2*(7*j + 2)
Let v(d) = 12*d**3 - 3*d**3 - 3 - 5 - d**3. Let y(k) = 23*k**3 - k**2 + k - 23. Let j(u) = -17*v(u) + 6*y(u). Factor j(m).
2*(m - 1)**3
Let w(p) be the third derivative of 1/135*p**6 + 2/27*p**3 + 5/1512*p**8 - 1/12*p**4 - 2*p**2 + 1/27*p**5 + 0*p + 0 - 4/315*p**7. Find y such that w(y) = 0.
-1, 2/5, 1
Let f = 10 - -11. Factor m + 21 + 3*m - f - 10*m**2.
-2*m*(5*m - 2)
Let f(j) be the first derivative of -j**5/60 + j**4/8 - j**3/3 - j**2/2 - 2. Let c(o) be the second derivative of f(o). Factor c(k).
-(k - 2)*(k - 1)
Let t be -1*(-1)/2*(-15 + 19). Let -2/13*c**5 - 4/13*c**t - 8/13*c**3 + 8/13*c**4 - 4/13 + 10/13*c = 0. Calculate c.
-1, 1, 2
Let i = 30 + -20. Let t be (-18)/(-5) + 4/i. Solve 2*g**2 - 4*g**t - 3*g + 4*g + 2*g**4 + 0*g**5 - g**5 = 0 for g.
-1, 0, 1
Let r(w) = -7*w**4 - 5*w**3 + 9*w**2 - 7. Let j be (-4 - -5) + -6*1. Let f(l) = 6*l**4 + 4*l**3 - 8*l**2 + 6. Let c(a) = j*f(a) - 4*r(a). What is g in c(g) = 0?
-1, 1
Let p(l) be the third derivative of 1/60*l**5 + 0*l + 1/48*l**4 + 0 - l**2 + 0*l**3 + 1/240*l**6. Factor p(o).
o*(o + 1)**2/2
Let h(c) = -c**3 + c**2 + 20*c + 20. Let u be h(-1). Solve 0*w + 1/2*w**3 + 0 - 1/2*w**u = 0.
0, 1
Let n(x) be the first derivative of 8/3*x**3 + 3 - 3*x**6 + 78/5*x**5 - 23*x**4 + 8*x**2 + 0*x. Suppose n(v) = 0. What is v?
-1/3, 0, 2/3, 2
Factor 4/13*q + 0 - 2/13*q**2.
-2*q*(q - 2)/13
Suppose -55*t**4 - 3*t**3 + 15*t**5 + 20*t**2 + 43*t**3 - 6*t + 6*t = 0. Calculate t.
-1/3, 0, 2
Let a(p) be the third derivative of p**7/210 + p**6/90 - p**5/30 - p**4/6 - 4*p**3/3 - 3*p**2. Let r(l) be the first derivative of a(l). Factor r(w).
4*(w - 1)*(w + 1)**2
Let c(r) be the second derivative of r**5/90 + r**4/54 - r**3/27 - r**2/9 + 10*r. Factor c(l).
2*(l - 1)*(l + 1)**2/9
Suppose -12 = 3*n, n + 2*n + 48 = -3*u. Let g be 32/u*15/(-4). Factor -16 - 10*y**2 - g*y - y**5 - 32*y**3 - 46*y**2 - 9*y**4 - 38*y.
-(y + 1)*(y + 2)**4
Let z = 2 + 0. Suppose -2*q - 4 = -6*b + 2*b, -3*b - 4 = z*q. Factor m**3 + 0*m**3 + b*m**3 + m**2.
m**2*(m + 1)
Let g = 39 - 36. Let x(i) be the second derivative of 0 - 1/2*i**2 - 1/10*i**5 + 1/3*i**g + 0*i**4 + 3*i + 1/30*i**6. Solve x(l) = 0.
-1, 1
Factor 2/3*i**2 + 2/3*i - 4/3.
2*(i - 1)*(i + 2)/3
Let k = 9 - 6. Suppose 2*n + k = -l, 3*l - 3*n + 6*n = 0. Suppose 1/4*x**2 + 1/2*x + 0 - 1/4*x**l = 0. Calculate x.
-1, 0, 2
Let q be 7/((-14)/4) - (1 + -5). Let 0 + 8/3*z**q - 2/3*z**3 - 8/3*z**4 + 2/3*z = 0. Calculate z.
-1, -1/4, 0, 1
Let i = 0 - -3. Let o(b) = -2*b - 3. Let r be o(-5). Factor -5*x + 26*x**3 + 4 - r*x**4 + 3*x - i*x**4 - 18*x**2.
-2*(x - 1)**3*(5*x + 2)
Let b = 33 + -31. Let w(j) be the second derivative of 0 - b*j + 0*j**3 + 0*j**2 - 1/30*j**4. Factor w(r).
-2*r**2/5
Let p(l) = 2*l - 3. Suppose 0 = -3*h + 2 + 4. Let t be p(h). Solve -t - a - a**3 - a - a - 3*a**2 = 0 for a.
-1
Let n(z) = z**3 - z**2 - z - 1. Let w be n(2). Let -4*s + 4*s**5 + 20*s**2 - 5 - 14*s**4 + w - 6 + 4 = 0. Calculate s.
-1, -1/2, 1, 3
Suppose -2*d + 6*d - 16 = 0. Find s such that 3*s**4 + 7*s**4 - 6*s**d = 0.
0
Factor 0*q + 0 - 1/2*q**4 + 0*q**3 + 1/2*q**2.
-q**2*(q - 1)*(q + 1)/2
Let c(y) be the second derivative of 1/7*y**7 - 7/8*y**4 - 7*y + 0*y**2 + 7/20*y**6 - 9/20*y**5 + 0 + 1/2*y**3. Determine s, given that c(s) = 0.
-2, -1, 0, 1/4, 1
Let b(i) be the third derivative of 3*i**2 + 1/180*i**6 + 0 - 1/315*i**7 - 1/9*i**4 + 0*i + 0*i**3 + 2/45*i**5. Let b(w) = 0. Calculate w.
-2, 0, 1, 2
Let 2*b + 4*b - 2*b**2 + b**3 + 2 - 7*b + 0*b = 0. Calculate b.
-1, 1, 2
Let k = -2 + 2. Factor -2/5*x - 2/5*x**3 + k + 4/5*x**2.
-2*x*(x - 1)**2/5
Let o(h) = -h + 5. Let x be o(5). Let i = x + 4. What is a in a**3 + 3*a - a**2 + 1 + i*a**2 + 0*a = 0?
-1
Let -4/17*c + 14/17*c**2 - 8/17*c**4 + 10/17*c**3 + 0 = 0. Calculate c.
-1, 0, 1/4, 2
Suppose 1 = 3*o + 7. Let f be 77/28 - 3/o. Factor r**4 - 13/4*r + 1/2 - f*r**3 + 6*r**2.
(r - 2)*(r - 1)**2*(4*r - 1)/4
Factor 4*z - 35*z**3 + 1 + 31*z**3 + z**2 - 2.
-(z - 1)*(z + 1)*(4*z - 1)
Let n = 715/14 - 51. Let t = n + 25/42. What is d in 0*d - 2/3*d**3 + 0 - t*d**2 + 2/3*d**4 + 2/3*d**5 = 0?
-1, 0, 1
Let 0*z + 0*z**2 + 0 - 4/7*z**3 + 2/7*z**4 + 2/7*z**5 = 0. Calculate z.
-2, 0, 1
Let b(n) be the first derivative of 15*n**6/14 - 183*n**5/35 + 291*n**4/28 - 75*n**3/7 + 6*n**2 - 12*n/7 - 10. What is f in b(f) = 0?
2/5, 2/3, 1
Suppose 0 = -t - 5*s + 22, s - 6*s = 3*t - 26. Suppose -3*w + 5*j + 12 = -t*w, j + 2 = 0. Factor i**3 + i**2 + 5*i**w - 5*i**2.
i**2*(i + 1)
Let n(y) = 0*y**2 + 4 - 1 - y**2 - 2. Let k(q) = 9*q**3 - 2. Let u(p) = k(p) + 2*n(p). Factor u(m).
m**2*(9*m - 2)
Let b(d) be the third derivative of -d**6/180 + 2*d**5/45 - d**4/9 + d**2. Solve b(w) = 0 for w.
0, 2
Suppose 0 = 5*t + 5*h - 35, t + 14 = 5*h + 3. Let q = 8 - t. Factor d + q + 3*d**2 + 8*d + 2.
3*(d + 1)*(d + 2)
Let b(q) = 9*q**4 - 8*q**3 + 19*q**2 - q + 2. Let l(m) = -8*m**4 + 8*m**3 - 18*m**2 + 2*m - 2. Let a be (-18)/1*2/(-6). Let p(z) = a*b(z) + 7*l(z). Factor p(d).
-2*(d - 1)**4
Suppose 3*f = 10*f - 42. Let m be (3/27)/(f/36). Let 2/3*i + 4/3*i**2 + 0 + m*i**3 = 0. What is i?
-1, 0
Let c(t) be the first derivative of -1/15*t**5 - 7/6*t**2 - 5/12*t**4 - 2/3*t - 7 - t**3. Factor c(q).
-(q + 1)**3*(q + 2)/3
Solve 1/3*w**2 - 1 + 2/3*w = 0 for w.
-3, 1
Let n = 9 - 5. Let o(x) = -n - 3*x - x - x + 2*x**2. Let v(b) = -7*b**2 + 19*b + 15. Let c(m) = -22*o(m) - 6*v(m). Determine q so that c(q) = 0.
-1
Suppose k - 3*k + 38 = 4*i, -1 = -k. Let n be 2/(-5) + i/10. Factor 0 + n*f - 2*f**2 + 2*f**3.
f*(2*f - 1)**2/2
Suppose 0 = -q - 4*d - 12, -1 = -5*q + d + 2. Factor q - 2/11*n - 2/11*n**2.
-2*n*(n + 1)/11
Determine x, given that -114/5*x**2 + 96*x - 128/5 + 7/5*x**3 = 0.
2/7, 8
Factor 0*a - 1/5*a**2 + 1/5.
-(a - 1)*(a + 1)/5
Let v(u) be the first derivative of 1/14*u**2 - 1/21*u**3 + 3 + 2/7*u. Factor v(a).
-(a - 2)*(a + 1)/7
Let i be -7 + (-3 + 1 - -2). Let u = -5 - i. Factor u*v**3 - 4/7*v**4 + 10/7*v - 18/7*v**2 - 2/7.
-2*(v - 1)**3*(2*v - 1)/7
Suppose -2*n = 2*n - 20. Suppose -3*d + 2 = -4*u + 2*d, 20 = 5*u + n*d. Find v, given that 0*v**3 + 2/3*v**4 - 4/3*v**u + 0*v + 2/3 = 0.
-1, 1
Let l(w) be the second derivative of w**10/60480 - w**8/13440 - w**4/4 + 3*w. Let k(y) be the third derivative of l(y). Let k(t) = 0. What is t?
-1, 0, 1
Suppose -35*m + 26*m + 54 = 0. Suppose 3 + 9/2*x**3 - 15/2*x 