+ z**4 - 2/3*z**2.
(z - 1)*(z + 1)**4/3
Let d(p) be the second derivative of -p**8/5880 - p**7/1470 - p**6/1260 + p**3/2 + p. Let u(r) be the second derivative of d(r). Factor u(q).
-2*q**2*(q + 1)**2/7
Suppose -2*v = -v. Solve -3*d**2 + v*d**2 - 3*d**3 + 8*d**2 - 2 - 2 + 4*d = 0.
-1, 2/3, 2
Let v(z) be the first derivative of z**6/480 + z**5/20 + z**4/2 + 7*z**3/3 - 1. Let q(j) be the third derivative of v(j). Factor q(u).
3*(u + 4)**2/4
Let i(a) = a**2 - 6*a + 9. Let q(t) = -2*t - 1. Let p(r) = 2*i(r) - 14*q(r). Let p(w) = 0. Calculate w.
-4
Let y be (238/(-63) - -4) + 6 - 6. Factor -2/9*h**4 + 2/9*h**5 + 2/9*h**2 - y*h**3 + 0 + 0*h.
2*h**2*(h - 1)**2*(h + 1)/9
Let t be 5 + -5 + -2 + 1 + 1. Solve -1/4*i**5 + t*i**3 + 0 + 1/4*i + 1/2*i**2 - 1/2*i**4 = 0 for i.
-1, 0, 1
Let f(x) be the first derivative of -x**5/360 + x**4/144 + 5*x**2/2 + 3. Let s(t) be the second derivative of f(t). Let s(h) = 0. Calculate h.
0, 1
Let u = -200 + 202. Find v such that -18/5*v**3 + 0 - 4/5*v**u - 4*v**4 + 0*v - 6/5*v**5 = 0.
-2, -1, -1/3, 0
Let o(n) be the third derivative of 1/510*n**5 + 0*n - 1/1020*n**6 + 0 + 0*n**4 + 0*n**3 + 2*n**2. Suppose o(j) = 0. Calculate j.
0, 1
Let n(k) be the third derivative of k**6/120 - k**4/8 - k**3/3 - 5*k**2. Factor n(q).
(q - 2)*(q + 1)**2
Let y(v) be the second derivative of -4*v + 0 - 3/2*v**3 + 3/4*v**4 + 3/2*v**2 - 3/20*v**5. Factor y(j).
-3*(j - 1)**3
Let l = 4177/1320 - -1/440. Let -1/2*c**4 + 13/6*c**3 + 11/6*c - l*c**2 - 1/3 = 0. What is c?
1/3, 1, 2
Let r be (-2)/(-3*(5 - 52/12)). Factor 1/2*w**2 + 3/2*w + r.
(w + 1)*(w + 2)/2
Let x = -770 + 6938/9. Let k = x + -31/45. Suppose 1/5*a + 0 + k*a**2 = 0. Calculate a.
-1, 0
Let p(b) = 5*b + 10. Let v be p(-2). Determine w so that -6/7*w**4 + v + 8/7*w**3 + 2/7*w**2 - 4/7*w = 0.
-2/3, 0, 1
Let -2*d - 2*d**3 - 108 + 4*d**2 + 108 = 0. Calculate d.
0, 1
Let l(o) = 5*o**3 + 55*o**2 - 60*o. Let k(u) = u**3 + 14*u**2 - 15*u. Let f(h) = 25*k(h) - 6*l(h). Factor f(y).
-5*y*(y - 3)*(y - 1)
Suppose -4*q - 2 = -2*v, -8*v + 34 = 7*q - 4*v. Factor 2/3*n**q + 0*n - 2/3.
2*(n - 1)*(n + 1)/3
Let t(w) = -w**2 + w + 2. Suppose 3*j - 8*j = 0. Let c be t(j). Find b such that -b**3 + b + 2*b**c + 0*b**3 - b**4 - b**2 = 0.
-1, 0, 1
Let k be 4 + -8 - -2 - 14/(-6). Solve 1/3*w**3 + 1/3*w**2 - 1/3 - k*w = 0 for w.
-1, 1
Let c(q) = q**3 + q**2. Let n(g) = 4*g**3 - 5*g**2 + 7*g. Let f(u) = 6*c(u) - 2*n(u). Find r such that f(r) = 0.
0, 1, 7
Let t be (-1)/6 - (-5)/12*2. Factor 0*y + t*y**2 - 2/3.
2*(y - 1)*(y + 1)/3
Let t(p) = -17*p**2 + 2*p + 3. Suppose 3*x - 12 = -x. Let n be 2 + 15/x*-1. Let u(w) = 6*w**2 - w - 1. Let r(b) = n*t(b) - 8*u(b). Factor r(y).
(y + 1)*(3*y - 1)
Let a(j) = -2*j**3 + j**2 + 2*j - 4. Let y(f) = -10*f**3 + 4*f**2 + 10*f - 20. Let p(k) = -16*a(k) + 3*y(k). What is s in p(s) = 0?
-1, 1, 2
Let l(x) be the first derivative of x**7/525 - x**6/75 + 2*x**5/75 - 2*x**2 - 3. Let a(n) be the second derivative of l(n). Determine s so that a(s) = 0.
0, 2
Let a be 5*((-4)/(-4))/1. Let y(x) be the second derivative of 0*x**3 + x + 0 + 1/60*x**a + 1/36*x**4 + 0*x**2. Factor y(r).
r**2*(r + 1)/3
Let u(j) be the second derivative of -j**6/50 - 3*j**5/100 + j**4/4 - 3*j**3/10 + 8*j. Let u(y) = 0. What is y?
-3, 0, 1
Suppose 4*p + 4 = 2*o - o, 3*o = 12. Factor 1/5*d**4 - 2/5*d**3 + 0 + p*d + 1/5*d**2.
d**2*(d - 1)**2/5
Let o(u) = -u**2 - 3*u - 2. Let c be o(-2). Let i be 9 - (c - (-3 + 0)). Factor -3 - 2*j**2 + i*j**3 + 7 - 2*j**4 + 0 + 0*j**2 - 6*j.
-2*(j - 2)*(j - 1)**2*(j + 1)
Let v(g) = 6*g**3 - 2*g**2 + 4*g. Let c(i) = i + 4*i - 3*i**2 + i**3 + 6*i**3. Let o(t) = -4*c(t) + 5*v(t). Factor o(k).
2*k**2*(k + 1)
Let r = -46/3 + 248/15. Find l, given that -3/5*l + r*l**2 - 3/5*l**3 + 0 = 0.
0, 1
Suppose 0 = -2*d + 2*u - 6, -3*d - 1 - 4 = -u. Let a be -4 - (d - (-46)/(-14)). Factor 2/7*t**3 + 0 - 4/7*t**2 + a*t.
2*t*(t - 1)**2/7
Let i(t) be the second derivative of -t**6/1260 + t**5/210 - t**3/6 + 2*t. Let g(l) be the second derivative of i(l). Factor g(z).
-2*z*(z - 2)/7
Determine p so that -2/3 + 5/3*p + p**2 = 0.
-2, 1/3
Let m = 1/826 + 1159/66080. Let h(a) be the third derivative of -1/12*a**4 + 0 - 2*a**2 + 1/6*a**3 - 1/80*a**5 + 0*a + m*a**6. Factor h(o).
(o + 1)*(3*o - 2)**2/4
Let b be ((-12)/(-11) + -1)/(82/451). Find n such that 1/4 - b*n + 1/4*n**2 = 0.
1
Let i(t) be the second derivative of -t**5/15 + t**4/3 + t**2/2 - 6*t. Let m(x) be the first derivative of i(x). Let m(b) = 0. Calculate b.
0, 2
Let k = -13 - -10. Let l be 5/(k - 33/(-6)). Factor 1/4*v**3 + 0 + 0*v - 1/4*v**l.
v**2*(v - 1)/4
Let k(q) = -2*q**2 - 28*q + 193. Let c(x) = -3*x**2 - 56*x + 387. Let f(n) = -3*c(n) + 5*k(n). Determine g so that f(g) = 0.
14
Let t(l) be the third derivative of 0*l + 23/30*l**5 + 4/3*l**3 + 0 + 1/35*l**7 + 6*l**2 - 4/3*l**4 - 7/30*l**6. Let t(a) = 0. What is a?
2/3, 1, 2
Find f such that -2*f**3 + 14*f**2 + 12*f**2 - 32 - 2*f**4 - 6*f**3 + 16*f + f**5 - 10*f**2 = 0.
-2, 2
Let s be 1 - (2 - -1) - -10. Suppose x = -4*d + 4*x + s, -5*x - 4 = -2*d. Suppose 0*o**4 + 0*o**d + 0 + 1/3*o + 1/3*o**5 - 2/3*o**3 = 0. What is o?
-1, 0, 1
Let r(q) be the first derivative of 3*q**4/8 + 9. Solve r(x) = 0 for x.
0
Suppose -2*y - 6 = 4*j - 6*j, -22 = 2*j + 5*y. Let h be -3 + (3 - j/3). Factor 0*t + 0 - 1/3*t**2 - h*t**3.
-t**2*(t + 1)/3
Suppose -26 + 6 = -4*p, -2*p = -3*d + 2. What is m in d - 4 - 3*m**2 + 3 = 0?
-1, 1
Let a(h) = h**2 - 6*h + 3. Let w be a(6). Factor 9*n**3 - w*n**5 - 8*n**3 + 2*n**5.
-n**3*(n - 1)*(n + 1)
Let j be 12/(-36) + 4/10. Let w(p) be the third derivative of 0*p - 2*p**2 + 0 + j*p**4 - 1/15*p**3 - 1/50*p**5. What is h in w(h) = 0?
1/3, 1
Let o be 4/(-10) - (-124)/10. Find h, given that -o*h - h**3 - 6 - 2 - 6*h**2 + 0*h**3 = 0.
-2
Let g(x) be the second derivative of x**5/70 + x**4/42 - 5*x**3/21 + 3*x**2/7 - 6*x. Factor g(r).
2*(r - 1)**2*(r + 3)/7
Suppose -4*b = -3*n - 15, 4*b - 4*n = -8 + 28. Factor 4/5*x**3 + b*x**2 - 4/5*x - 2/5*x**4 + 2/5.
-2*(x - 1)**3*(x + 1)/5
Let h(u) be the third derivative of u**6/960 + u**5/120 + u**4/48 + 6*u**2. Factor h(n).
n*(n + 2)**2/8
Factor 0 - 1/2*h**3 - 1/8*h + 5/8*h**2.
-h*(h - 1)*(4*h - 1)/8
Suppose -s = -8 - 0. Suppose -2*p = 2*b - 3*p - s, 2*b + 4*p + 12 = 0. Factor -2*o - o**3 - 2 + o**3 + 2*o**2 + b*o**3 + 0*o**3.
2*(o - 1)*(o + 1)**2
Let -10/3*s**3 + 10/3*s**2 + 10/3*s - 2*s**4 - 4/3 = 0. What is s?
-2, -1, 1/3, 1
Factor -10/7*r**3 + 24/7*r**2 + 0 - 8/7*r.
-2*r*(r - 2)*(5*r - 2)/7
Let j = 75/14 + -27/7. Let -3/2*b + 1/2 + j*b**2 - 1/2*b**3 = 0. What is b?
1
Suppose -32*o = -27*o - 10. Factor -3/4*c**3 + 0*c - 3/4*c**o + 0.
-3*c**2*(c + 1)/4
Let i = 931/9 - 523/9. Let w = -45 + i. Suppose -w*j**2 - 2/3*j + 0 = 0. What is j?
-2, 0
Let j be 8/(-12) + (-842)/24. Let x = j + 36. Factor -x*b**2 + 0*b + 1/4.
-(b - 1)*(b + 1)/4
Let h = -2 + 6. Factor 2*m + h*m**2 - 2*m**3 + 0*m**2 - 3 - 1.
-2*(m - 2)*(m - 1)*(m + 1)
Let f be (-12)/42 + (-46)/(-14). Suppose -o = n - 3, -n - 2*o = f*o - 7. Suppose 3*z**2 + 0*z**n - 6*z + 4 - z**2 = 0. Calculate z.
1, 2
Let f(d) = d + 9. Let n be f(8). Let z = n - 7. Determine s so that z - 10 - 2*s**2 = 0.
0
What is r in -2 - 1/2*r**2 + 5/2*r = 0?
1, 4
Let u be (3 - 2)/(1/7). Suppose -15 = -5*d - 5*k, 5*d = 4*k - k + u. Let -2*m**5 - 3*m**2 - 2*m**2 + 0*m**4 + 2*m**4 + d*m**3 + 3*m**2 = 0. Calculate m.
-1, 0, 1
Let o(s) be the third derivative of -s**5/180 + s**4/36 + 8*s**2. Let o(t) = 0. What is t?
0, 2
Let a(w) = w**4 - w**3 + w**2 + 1. Let r(q) = 3*q**4 - 2*q**3 + 2*q**2 + 2. Let f(s) = -6*a(s) + 3*r(s). Suppose f(g) = 0. Calculate g.
0
Factor 20/7 + 12/7*f**2 + 64/7*f.
4*(f + 5)*(3*f + 1)/7
Let a(b) be the second derivative of 1/2*b**3 - 3*b + 1/20*b**5 - 1/2*b**2 - 1/4*b**4 + 0. Factor a(c).
(c - 1)**3
Let t(c) be the first derivative of -c**3/2 + 3*c**2/4 - 10. Factor t(i).
-3*i*(i - 1)/2
Let k = 22 - 17. Suppose 2*v - p - k = 0, -11 = -v - v - 5*p. Suppose 0*f - 1/4*f**2 + 0 - 3/4*f**v - 1/4*f**5 - 3/4*f**4 = 0. Calculate f.
-1, 0
Let k(t) be the first derivative of t**6/12 + 3*t**5/10 - 3*t**4/4 - 5*t**3/3 + 21*t**2/4 - 9*t/2 - 8. Factor k(v).
(v - 1)**3*(v + 3)**2/2
Let t = -519 - -2604/5. Suppose -2/5*m**3 + 2/5*m + t*m**2 + 0 - 9/5*m**4 = 0. Calculate m.
-1, -2/9, 0, 1
Let l(u) be the second de