s**3. Factor k(z).
4*z**2*(z - 1)
Factor -u**2 + u**5 - u**2 - 5*u**3 + 0*u**3 - 4*u**4 - 2*u**5.
-u**2*(u + 1)**2*(u + 2)
Let u(n) be the third derivative of 30*n**2 + 5/14*n**3 - 1/280*n**6 + 1/20*n**5 + 0*n - 11/56*n**4 + 0. Let u(c) = 0. Calculate c.
1, 5
What is c in 17*c + 30 - c**2 + 0*c**2 - 9 - 35*c + 14*c = 0?
-7, 3
Let c(b) be the first derivative of 5/3*b**2 - 4/3*b**3 + 2 + 2/3*b. Factor c(y).
-2*(y - 1)*(6*y + 1)/3
Let g(i) be the third derivative of 8*i**2 - 1/3*i**3 - 1/90*i**5 + 0 + 0*i + 1/9*i**4. Factor g(u).
-2*(u - 3)*(u - 1)/3
Let b(w) = 1 + 166*w**5 - 165*w**5 - w**3 - 2. Let d(f) = -9*f**5 + 3*f**4 + 8*f**3 - 4*f**2 + 8. Let o(z) = 40*b(z) + 5*d(z). Factor o(k).
-5*k**2*(k - 2)**2*(k + 1)
Let c = 2854 + -5707/2. Find t, given that 1/4*t**2 - c*t**3 + 0*t + 1/4*t**4 + 0 = 0.
0, 1
Let o(f) be the second derivative of f**6/30 - 3*f**5/20 + f**4/12 + f**3/2 - f**2 + 14*f. Find i such that o(i) = 0.
-1, 1, 2
Factor 309*v**5 + 7*v**4 - 4*v**3 - 9*v**4 - 303*v**5.
2*v**3*(v - 1)*(3*v + 2)
Suppose -3*n + 59*z = 56*z - 33, 21 = -n - 3*z. Factor 9/4*u**2 - 3/4*u**4 + 3/2*u + 0 + 0*u**n.
-3*u*(u - 2)*(u + 1)**2/4
Let q(i) = -i**3 + 8*i**2 + 7*i + 6. Let z(w) = 6*w**3 - 41*w**2 - 34*w - 31. Let a(r) = 33*q(r) + 6*z(r). Factor a(v).
3*(v + 1)**2*(v + 4)
Let b(d) be the first derivative of 4*d**3/15 - 24*d**2/5 - 52*d/5 + 275. Factor b(y).
4*(y - 13)*(y + 1)/5
Let j(s) = -s**4 - 3*s**3 + 7*s**2 + 7*s - 2. Let f(z) = -3*z**4 - 8*z**3 + 21*z**2 + 22*z - 4. Let a(n) = -4*f(n) + 14*j(n). Factor a(y).
-2*(y - 1)**2*(y + 1)*(y + 6)
Let o(x) be the second derivative of x**5/20 + 3*x**4/8 + 2*x**2 + 8*x. Let b(u) be the first derivative of o(u). Factor b(l).
3*l*(l + 3)
Suppose -25*t = -11*t - 140. Let z be (-25)/t*6/(-3). Solve -2/7*i**z + 6/7*i**4 + 0*i - 6/7*i**3 + 0 + 2/7*i**2 = 0.
0, 1
Let o(c) = -c**3 - 29*c**2 - 4*c - 112. Let l be o(-29). Determine m so that 0*m + 7/5*m**3 - 2/5*m**l - 4/5*m**2 - 1/5*m**5 + 0 = 0.
-4, 0, 1
Let m(z) = -26*z**3 - 100*z**2 + 10*z + 84. Let y(c) = -8*c**3 - 33*c**2 + 3*c + 28. Let f(b) = 5*m(b) - 16*y(b). Factor f(q).
-2*(q - 14)*(q - 1)*(q + 1)
Let v be (-5)/(35/(-3)) + 1/(-3). Let l(t) be the second derivative of 0 + 6*t + 0*t**2 + 1/42*t**4 - v*t**3. Factor l(c).
2*c*(c - 2)/7
Suppose 3*g - 22 = -4*v, -7*g + 2*g = -v - 6. Determine w so that 1/4*w**g + 1/4*w + 0 = 0.
-1, 0
Let s(k) be the second derivative of 2*k**7/105 - 2*k**6/15 + k**5/3 - k**4/3 + 5*k**2/2 - 4*k. Let c(a) be the first derivative of s(a). Factor c(y).
4*y*(y - 2)*(y - 1)**2
Let z(v) be the first derivative of -v**7/1680 + v**6/144 - v**5/80 - 3*v**4/16 + 28*v**3/3 - 13. Let b(k) be the third derivative of z(k). Factor b(w).
-(w - 3)**2*(w + 1)/2
Let d(h) = 10*h**2 - h + 1. Let b be d(1). Suppose -5*w = 5*m - b, -2*w = -0*w. What is c in 16*c**5 + 4*c**3 - 5*c**4 + c**4 + 4*c**m - 20*c**5 = 0?
-1, 0, 1
Suppose -c + 17*c = -3*c. Suppose -3*z = 3*j + 15, -z = -c*z + 4*j + 20. Solve 0*r**3 + z + 3/4*r**5 + 0*r + 7/4*r**4 - r**2 = 0 for r.
-2, -1, 0, 2/3
Let t(a) be the second derivative of -1/3*a**4 + 0 + 1/10*a**5 + 10*a - a**3 + 0*a**2. Factor t(s).
2*s*(s - 3)*(s + 1)
Let r(a) be the third derivative of a**9/1008 - a**8/672 - a**7/504 + 7*a**4/24 - 11*a**2. Let v(h) be the second derivative of r(h). Factor v(k).
5*k**2*(k - 1)*(3*k + 1)
Let l = -24 - -14. Let n = 13 + l. Solve -6*u**4 - 4*u**n + 4*u**4 + 2 - 2*u**2 - 2 = 0.
-1, 0
Let j(b) = 120*b - 238. Let d be j(2). What is u in 2*u - 4/5 + 22/5*u**d + 8/5*u**3 = 0?
-2, -1, 1/4
Suppose 0 = -112*h + 117*h. Let y(f) be the first derivative of -3 + 1/4*f**4 - 1/4*f**2 - 1/12*f**6 + 0*f**3 + 0*f + h*f**5. Factor y(v).
-v*(v - 1)**2*(v + 1)**2/2
What is w in -6/7*w - 2/7*w**2 + 8/7 = 0?
-4, 1
Let p(k) = -91*k**3 - 102*k**2 + 211*k - 3. Let n(c) = 44*c**3 + 51*c**2 - 105*c + 1. Let h(z) = -5*n(z) - 3*p(z). Find d, given that h(d) = 0.
-2, 2/53, 1
Let w = 452 - 2256/5. Let j be 3 - 34/10 - 12/(-15). Determine d, given that j - w*d + 2/5*d**2 = 0.
1
Let l(g) be the first derivative of 2*g**3/3 + 3*g**2 - 20*g + 107. Solve l(k) = 0 for k.
-5, 2
Let u(v) = -2*v**2 - 51*v + 84. Let t be u(-27). Let p(s) be the second derivative of -s**2 + 0 + 4*s - 1/18*s**4 - 4/9*s**t. Factor p(c).
-2*(c + 1)*(c + 3)/3
Let h(o) be the first derivative of -o**6/96 - o**5/48 + 7*o**2 + 11. Let g(d) be the second derivative of h(d). Find a, given that g(a) = 0.
-1, 0
Let o be (2 - (-3 - -7)) + 14. Suppose 3*j = -14 + 35. Factor -o*c**2 - j + 3*c + 7.
-3*c*(4*c - 1)
Suppose o - u - 3 = 0, 0 = -o + 4*u + 3 - 0. Suppose o = b - 0*b. Solve 2*m**b + 3*m**3 + m - m**4 - 3*m**2 - 2*m**3 = 0.
0, 1
Let u(q) = 100*q**2 - 3490*q + 72000. Let b(f) = 11*f**2 - 388*f + 8000. Let l(r) = -55*b(r) + 6*u(r). Factor l(v).
-5*(v - 40)**2
Let r(y) = -y**5 - 42*y**4 + 47*y**3 + y - 1. Let t(d) = d**5 + 2*d**4 + d**3 + d - 1. Let k(m) = -2*r(m) + 2*t(m). Factor k(l).
4*l**3*(l - 1)*(l + 23)
Let u(v) be the third derivative of -v**7/168 + v**6/18 - v**5/8 + 22*v**3/3 + 13*v**2. Let d(x) be the first derivative of u(x). Let d(p) = 0. Calculate p.
0, 1, 3
Determine u, given that -96/7 + 272/7*u + 4/7*u**5 - 296/7*u**2 + 156/7*u**3 - 40/7*u**4 = 0.
1, 2, 3
Suppose -f**3 + 42*f - 2 + 2 + 3*f**4 + 49*f**3 + 87*f**2 = 0. Calculate f.
-14, -1, 0
Suppose 0 = 97*v - 98*v + 4. Let -7*h + v*h**4 + 5*h - 6*h + 9*h**2 - 16*h**3 + 11*h**2 = 0. Calculate h.
0, 1, 2
Let v(q) be the third derivative of -q**6/120 + q**5/12 - q**4/6 + 13*q**2 - 2. Determine y, given that v(y) = 0.
0, 1, 4
Let j = 189 + -197. Let l be (2/j)/((-24)/144). What is b in 3/2*b**3 - 3*b + 0 + l*b**2 = 0?
-2, 0, 1
Let d(r) = r**5 + 3*r - 2. Let c(o) be the first derivative of -o**6/2 - o**4/4 - 5*o**2 + 7*o - 19. Let s(i) = -2*c(i) - 7*d(i). Factor s(f).
-f*(f - 1)**2*(f + 1)**2
Let k(x) be the second derivative of 0*x**2 + 17/135*x**6 - 3*x + 0 - 17/54*x**4 + 2/9*x**3 - 5/189*x**7 - 1/90*x**5. Determine j, given that k(j) = 0.
-1, 0, 2/5, 1, 3
Let -34*d + 578 + 1/2*d**2 = 0. What is d?
34
Let k(c) = 3*c + 3*c**3 + 3*c**3 - 2*c**2 - 17*c**3 + 8*c**3. Let i(p) = 13*p**3 + 9*p**2 - 13*p. Let b(m) = 2*i(m) + 9*k(m). Factor b(l).
-l*(l - 1)*(l + 1)
Suppose -2*t + 8/15*t**2 - 8/15 = 0. Calculate t.
-1/4, 4
Let c(l) be the second derivative of -l**5/120 + l**4/12 - 2*l**3/9 + 149*l. Factor c(q).
-q*(q - 4)*(q - 2)/6
Let n(p) be the second derivative of -p**6/1620 - p**5/540 + 4*p**3/3 - 13*p. Let d(m) be the second derivative of n(m). Factor d(s).
-2*s*(s + 1)/9
Let s = 179/146 + 20/73. What is j in -3/4*j**2 - 3/4*j**4 + s*j**3 + 0 + 0*j = 0?
0, 1
Let m be 1/(9/(-12) - -1). Let h = -698 - -701. Let 0*f**2 + 2/9*f**m - 2/9*f**h + 0*f + 0 = 0. Calculate f.
0, 1
Suppose -3*v + 5*c - 5 = 0, -2*v + 3*c - 8 = -5. Let l(m) be the second derivative of v + 0*m**3 + 2*m - m**2 + 1/6*m**4. Solve l(r) = 0 for r.
-1, 1
Let n = 95 + -99. Let o be 2/24*(n + (1 - -7)). Factor 0 - 5/6*b**2 - 1/6*b**4 - o*b - 2/3*b**3.
-b*(b + 1)**2*(b + 2)/6
Let u(d) be the first derivative of 1/30*d**6 - 16/25*d**5 + 0*d - 30 - 256/15*d**3 + 24/5*d**4 + 128/5*d**2. Factor u(j).
j*(j - 4)**4/5
Factor 4 - 211*z + 227*z + 8 - z**3 + 0*z**3 + 3*z**2.
-(z - 6)*(z + 1)*(z + 2)
Let p(z) be the second derivative of -4 + 3/5*z**5 + 2*z - 49/2*z**2 - 11/6*z**4 - 1/30*z**6 - 14*z**3. Determine f, given that p(f) = 0.
-1, 7
Let l(h) = -6*h + 0*h + 2*h**2 - 3 - 3*h**2 - 1. Let c be l(-4). Factor 2*n**2 + 0*n**2 - n**3 - 3*n**4 + 4*n**4 - c*n**2.
n**2*(n - 2)*(n + 1)
Let r(w) be the first derivative of 0*w + 4/9*w**3 + 2/15*w**5 + 1/2*w**4 + 0*w**2 - 14. Factor r(m).
2*m**2*(m + 1)*(m + 2)/3
Let d(j) = -1 - 74*j + 73*j + 2. Let o(l) = -l**2 + 5*l - 4. Let u(r) = -4*d(r) - o(r). Let u(g) = 0. Calculate g.
0, 1
Let s(o) be the first derivative of o**8/840 - o**7/140 + o**6/60 - o**5/60 + 10*o**3/3 - 10. Let m(k) be the third derivative of s(k). Factor m(w).
2*w*(w - 1)**3
Suppose -3 = l + 9. Let m = l - -14. Factor 10*h + 0*h**m - h**2 - 13*h.
-h*(h + 3)
Let c(y) = -y**3 - 10*y**2 - 8*y + 11. Let i be c(-9). Factor 10*t**3 + 5*t**4 - 2*t**2 + 5*t**2 - i*t**2 + 4*t**2.
5*t**2*(t + 1)**2
Let l(a) be the third derivative of -2/3*a**3 + 1/84*a**8 - 24*a**2 - 2/105*a**7 + 0*a - 1/15*a**6 + 2/15*a**5 + 1/6*a**4 + 0. Factor l(f).
4