 4/5*h**x - 1/4*h**4. Factor t(z).
-(z - 1)**2*(z + 2)**3
Let m(q) = 6*q + 116. Let z be m(-19). Let 0 - 4/3*n - 2/3*n**z + 2/3*n**3 = 0. Calculate n.
-1, 0, 2
Let y(j) be the second derivative of -j**6/40 - j**5/5 - j**4/2 - 5*j**2/2 + 4*j. Let z(p) be the first derivative of y(p). Determine f, given that z(f) = 0.
-2, 0
Let c(m) be the third derivative of m**5/20 + m**4/8 - 17*m**2. Factor c(q).
3*q*(q + 1)
Let v(g) be the first derivative of 2/15*g**5 - 1/6*g**4 + 0*g + 0*g**2 + 1/9*g**6 - 2/9*g**3 - 3. Find o, given that v(o) = 0.
-1, 0, 1
Let k = 67 - 67. Let g(f) be the first derivative of 2 + f**2 - 2/5*f**5 - 2*f**3 + k*f + 3/2*f**4. Find b, given that g(b) = 0.
0, 1
Let u be ((-2)/7)/(160/(-35) - -4). Factor -u*m**2 + 3/2*m**3 - 3/2*m + 1 - 1/2*m**4.
-(m - 2)*(m - 1)**2*(m + 1)/2
Let b(t) be the third derivative of -5*t**2 - 1/105*t**6 - 1/70*t**5 + 0*t**3 + 0*t + 0 + 1/84*t**4. Find w, given that b(w) = 0.
-1, 0, 1/4
Suppose 6*l = 10*l - 12. Find n, given that -1/2*n**4 - n**l - 1/2*n**2 + 0*n + 0 = 0.
-1, 0
Let l(a) be the second derivative of a**4/4 + a**3/2 - 2*a. Solve l(x) = 0.
-1, 0
Suppose -3*m + m = -32. Solve -8 + 8 + 24*c**3 - m*c**2 + 2*c**5 - 12*c**4 = 0.
0, 2
Find w such that w**3 + w**4 - 4*w**2 - w**5 + 3*w**2 - 2*w + 2*w**3 = 0.
-1, 0, 1, 2
Let u(s) be the third derivative of -s**5/40 + 5*s**4/96 - s**3/24 - 8*s**2. Let u(p) = 0. What is p?
1/3, 1/2
Suppose 10*u - 8 = 6*u. Let d(b) be the first derivative of -8/5*b**u + 0*b - 1 + 0*b**3 + 0*b**5 + 98/5*b**4 - 2401/30*b**6. Factor d(o).
-o*(7*o - 2)**2*(7*o + 2)**2/5
Let r(b) be the third derivative of -b**6/780 - b**5/195 + 7*b**4/156 - 4*b**3/39 - 14*b**2. Factor r(s).
-2*(s - 1)**2*(s + 4)/13
Let s(t) = t + 4. Let v be s(-8). Let m be (v + 2 - -2)/(-1). Determine d, given that -2/5*d**4 + 0 + m*d + 0*d**3 + 0*d**2 = 0.
0
Let n(s) be the third derivative of -s**7/735 + s**6/210 - s**4/42 + s**3/21 - s**2. Find q such that n(q) = 0.
-1, 1
Let b(x) be the third derivative of -x**6/840 - x**5/420 + x**4/42 + 2*x**3/21 - 22*x**2. Factor b(p).
-(p - 2)*(p + 1)*(p + 2)/7
Let l(c) be the second derivative of c**7/210 - c**6/40 + c**5/30 + 3*c**2/2 + c. Let r(p) be the first derivative of l(p). Suppose r(y) = 0. Calculate y.
0, 1, 2
Let d(b) be the third derivative of b**5/480 - b**4/48 + b**3/12 - 28*b**2. Factor d(m).
(m - 2)**2/8
Factor 148*d**2 - 1 - 2 + 32*d**2 + 5*d - 7.
5*(4*d + 1)*(9*d - 2)
Let x be 10 + -10 - -2*(-3)/(-15). Factor x*b**2 + 0*b - 2/5.
2*(b - 1)*(b + 1)/5
Let o be (6/4)/(57/76). Let y(g) be the first derivative of 1/4*g**o + 1/3*g + 1/18*g**3 - 2. Solve y(d) = 0.
-2, -1
Let w(a) be the first derivative of -a**5/30 - 7. Solve w(p) = 0 for p.
0
Let o be 3 + 1 + (2 - 2). Factor 2/5*y**3 + 0*y + 1/5*y**o + 0 + 1/5*y**2.
y**2*(y + 1)**2/5
Solve -1/3*f + 4/3*f**2 + 0 - 2*f**3 - 1/3*f**5 + 4/3*f**4 = 0.
0, 1
Let h = -23 - -27. Suppose -h*a = -6*a + 4. Factor -1/3 - v**a - 4/3*v.
-(v + 1)*(3*v + 1)/3
Suppose -11 = -j - 2*q, j - 1 - 22 = 2*q. Let m = j - 15. Factor 1/5*g**m - 1/5 + 0*g.
(g - 1)*(g + 1)/5
Let a(p) be the second derivative of -1/15*p**6 + 0*p**3 + 0*p**2 + 1/28*p**7 + 0*p**4 + p + 1/40*p**5 + 0. Factor a(z).
z**3*(z - 1)*(3*z - 1)/2
Let p(k) = 2*k**2 + 7*k + 2. Let w(y) = 2*y**2 + 6*y + 2. Let l(j) = -2*p(j) + 3*w(j). Solve l(u) = 0 for u.
-1
Let m be (-84)/(-56) + (-17)/6 + 2. Factor 0 - s**3 - m*s + 7/3*s**2.
-s*(s - 2)*(3*s - 1)/3
Let q(o) be the first derivative of o**6/240 - o**4/48 + 3*o**2/2 + 1. Let w(v) be the second derivative of q(v). Factor w(h).
h*(h - 1)*(h + 1)/2
Factor -3/4*y - 1/4*y**3 + 1/4 + 3/4*y**2.
-(y - 1)**3/4
Let v(c) be the first derivative of -c**2 + 1/9*c**3 - 1 + 3*c. Let v(u) = 0. Calculate u.
3
Let w(f) = 3*f**2 + 3*f - 2. Let n(m) = m**2 + m. Let l(u) = -2*n(u) + w(u). Factor l(x).
(x - 1)*(x + 2)
Let t(j) = -3*j - 6. Let p(k) = k + 2. Let o(v) = -17*p(v) - 6*t(v). Let i be o(0). Let -i*c + 2*c - 2*c**4 + 2*c**2 = 0. Calculate c.
-1, 0, 1
Let c(l) be the second derivative of -5*l**7/252 + l**6/27 - l**5/45 - l**3/3 - 2*l. Let a(i) be the second derivative of c(i). Factor a(u).
-2*u*(5*u - 2)**2/3
Let o(u) be the first derivative of -2*u**5/15 + u**4/2 + 2*u**3/9 - u**2 - 2. Factor o(c).
-2*c*(c - 3)*(c - 1)*(c + 1)/3
Factor 3 + 23/2*a + 9*a**3 + a**4 - 1/2*a**5 + 16*a**2.
-(a - 6)*(a + 1)**4/2
Let x be 1*2 + (2 - 2). Let b be 2/x + -3 + 8. Factor -15*t**4 - 25/2*t**5 + 11/2*t**3 - 2*t + b*t**2 + 0.
-t*(t + 1)**2*(5*t - 2)**2/2
Let t = -743/5 + 149. Factor 0*j**2 - 2/5*j**3 + 0*j - t*j**4 + 0.
-2*j**3*(j + 1)/5
Let l be 595/144*4/98. Let q = 3/56 + l. Determine v, given that 4/9*v**4 + 0 - 2/9*v**5 - q*v**3 + 0*v + 0*v**2 = 0.
0, 1
Suppose 4*i + 2*b = -0*b, 3*b + 18 = 3*i. Let r(o) = o**3 - 9*o**2 + 9*o - 8. Let j be r(8). Factor -2/5*a**5 + 0 + 2/5*a**4 + 0*a**3 + j*a**i + 0*a.
-2*a**4*(a - 1)/5
Let c(u) be the first derivative of -u**6/120 + u**5/10 - u**4/2 + 2*u**3 + 3. Let o(d) be the third derivative of c(d). Factor o(r).
-3*(r - 2)**2
Let v(f) = -5*f**3 - 2*f**2. Let m(u) = -2*u**3 - u**2. Let i = 8 + -5. Let r(c) = i*v(c) - 7*m(c). Factor r(h).
-h**2*(h - 1)
Factor 2/3*o**3 + 0 + 0*o + 6*o**2.
2*o**2*(o + 9)/3
Let r(p) be the first derivative of 3*p**4/2 + 5*p**3/3 + p**2/2 - 10. Solve r(i) = 0 for i.
-1/2, -1/3, 0
Factor -q + 1/2*q**2 + 0.
q*(q - 2)/2
Suppose -18*t + 15 + 39 = 0. Factor -1 + 1/2*x + x**2 - 1/2*x**t.
-(x - 2)*(x - 1)*(x + 1)/2
Let j = -7 - -13. Let n be (-2)/j*(-12 + 11). Factor 0 - n*v**2 + 0*v**3 + 1/3*v**4 + 0*v.
v**2*(v - 1)*(v + 1)/3
Let q(a) be the third derivative of -a**8/1512 - 4*a**7/945 - a**6/180 + 2*a**5/135 + a**4/27 + 26*a**2. Suppose q(w) = 0. What is w?
-2, -1, 0, 1
Let a be (9/10 + -1)/(5 - 6). Let u(i) be the first derivative of 2 + 0*i**2 - 1/8*i**4 + 0*i + 0*i**3 + a*i**5. Factor u(t).
t**3*(t - 1)/2
Let z(f) be the second derivative of -f**5/5 + 7*f**4/3 - 10*f**3 + 18*f**2 + 9*f. Solve z(t) = 0 for t.
1, 3
Let z(c) = -4*c**3 - 5*c**2 - c - 3. Let a(r) = -23*r**3 - 29*r**2 - 6*r - 17. Let w(p) = 6*a(p) - 34*z(p). Factor w(k).
-2*k*(k + 1)**2
Factor 1/9*x**2 - 1/9*x**3 + 1/9*x - 1/9.
-(x - 1)**2*(x + 1)/9
Let a(c) be the third derivative of c**8/84 - 4*c**7/105 + 2*c**5/15 - c**4/6 - 7*c**2. Suppose a(g) = 0. What is g?
-1, 0, 1
Suppose -4*i + 9*i + 2*i = 0. Let m(b) be the third derivative of 1/30*b**5 + i*b**3 + 1/6*b**4 - 1/35*b**7 - 3*b**2 + 0 + 0*b - 1/15*b**6. Factor m(a).
-2*a*(a + 1)**2*(3*a - 2)
Let w(r) be the first derivative of 7*r**6/15 - 9*r**5/10 + r**4/3 - 2*r - 1. Let s(m) be the first derivative of w(m). Factor s(q).
2*q**2*(q - 1)*(7*q - 2)
Let g(k) be the second derivative of 3*k + 0*k**2 + 2/15*k**3 + 3/10*k**4 + 0. Determine p, given that g(p) = 0.
-2/9, 0
Suppose 3*s + 10 = 19. Let b(o) be the third derivative of 4/27*o**s + 0*o - o**2 + 0 - 1/27*o**4 - 1/90*o**5. Suppose b(v) = 0. What is v?
-2, 2/3
Let j(n) be the second derivative of -1/2*n**4 - 8*n + 9/20*n**5 + 0*n**3 + 0 + 0*n**2 - 1/10*n**6. Suppose j(v) = 0. What is v?
0, 1, 2
Let g be (-5)/(-2)*24/15. Suppose -2*v**5 + 5*v**4 - 2*v**3 + 0*v**g + v**4 - 2*v**4 = 0. What is v?
0, 1
Let y(z) = -7*z**2 + 2*z + 1. Let t be y(-1). Let k = -6 - t. Suppose 10*l**3 - 14*l + 52*l**2 - 28*l**3 - 22*l**2 + k = 0. Calculate l.
1/3, 1
Let w(t) be the first derivative of 7*t**4/54 - 5*t**3/27 - 2*t**2/9 - 2*t + 4. Let h(a) be the first derivative of w(a). Suppose h(z) = 0. What is z?
-2/7, 1
Let l be (-20)/(-8)*8/5. Let y(a) be the second derivative of 0*a**2 + 1/90*a**5 - 1/27*a**3 + a - 1/54*a**l + 1/135*a**6 + 0. Factor y(v).
2*v*(v - 1)*(v + 1)**2/9
Let b = -100741/48 - -2099. Let w = 7/16 + b. Determine p so that -2/3*p**2 - 2/9 - w*p - 2/9*p**3 = 0.
-1
Let m = 20/21 - 2/3. Find d such that m*d**2 - 2/7*d + 0 = 0.
0, 1
Let s(c) be the third derivative of -c**6/300 - c**5/75 + c**4/60 + 2*c**3/15 - c**2. Find l such that s(l) = 0.
-2, -1, 1
Let g(t) be the second derivative of -6*t - 1/36*t**4 + 1/9*t**3 + 0*t**2 + 0. Let g(v) = 0. What is v?
0, 2
Suppose 0*c - c = -2. Let r(f) = -f**3 - 3*f + 4. Let t(o) = 5*o**3 - o**2 + 13*o - 17. Let j(b) = c*t(b) + 9*r(b). Determine x, given that j(x) = 0.
-1, 1, 2
Let p(s) = s**5 + 3*s**4 - s + 1. Let b(y) = -4*y**5 - 10*y**4 + y**3 - y**2 + 3*y - 3. Let 