*z**o - 5*z**3 - 7*z**3 + 4*z**2.
4*z**2*(z + 1)
Let z(s) be the second derivative of 0*s**2 + 0*s**5 + 2/45*s**6 - 1/63*s**7 + 1/9*s**3 - 1/9*s**4 + 17*s + 0. Let z(d) = 0. What is d?
-1, 0, 1
Let l(w) be the second derivative of -w**4/42 + 115*w**3/21 + 116*w**2/7 - 34*w + 3. Factor l(s).
-2*(s - 116)*(s + 1)/7
Let v = -15 - -18. Let w be (v/2)/(33/44). Suppose 1/3*s - 1/3*s**4 - 1/3*s**3 + 0 + 1/3*s**w = 0. Calculate s.
-1, 0, 1
Let g(x) = 5*x**2 - x - 10. Let y(p) = -10*p**2 + 20. Let h(o) = -5*g(o) - 2*y(o). Factor h(w).
-5*(w - 2)*(w + 1)
Let h(b) be the first derivative of b**9/756 + b**8/84 + 3*b**7/70 + 7*b**6/90 + b**5/15 + 5*b**3/3 + 13. Let s(w) be the third derivative of h(w). Factor s(z).
4*z*(z + 1)**3*(z + 2)
Let q(y) be the first derivative of y**7/84 + y**6/20 + y**5/20 + 9*y - 23. Let w(u) be the first derivative of q(u). Factor w(z).
z**3*(z + 1)*(z + 2)/2
Let w be (45/10)/9*0/(-2). Suppose w*c - 2*s + 5 = -c, 2*s + 7 = 5*c. Determine q so that 1 - 3/4*q**2 + 1/4*q**4 + 1/2*q**c - q = 0.
-2, 1
Let s(c) = -c**3 - c**2 + 12*c + 1. Let a(q) = -4*q**3 + 62*q**2 + 90*q + 2. Let r(b) = a(b) - 2*s(b). Find d such that r(d) = 0.
-1, 0, 33
Factor 2*q**2 + 94*q - 185 - 235*q + 3*q**2 + 58*q - 97*q.
5*(q - 37)*(q + 1)
Let y(a) = a**3 - 34*a**2 - 42*a - 1076. Let c be y(36). Factor 2/3*p + c - 2/3*p**2.
-2*(p - 3)*(p + 2)/3
Let p(c) = c**2 + 10*c - 25. Let q(a) = -6*a**2 - 50*a + 125. Let x(y) = -11*p(y) - 2*q(y). Determine r so that x(r) = 0.
5
Suppose d - 114*t = -112*t + 8, 0 = d + 5*t + 20. Let d + 3/7*g - 3/7*g**2 = 0. What is g?
0, 1
Let d be (-15 - 2)*(7 - 6). Let y = -14 - d. Factor 4*f**y + 2 + 0 - 2 + 4*f**2 + f.
f*(2*f + 1)**2
Let r(l) be the third derivative of -l**5/330 + l**4/12 - 21*l**2 - 4. Factor r(w).
-2*w*(w - 11)/11
What is x in -106*x + 338 + 40*x**3 - 141*x**2 - 195*x - x**4 + 80*x - 15*x**3 = 0?
-2, 1, 13
Let y = 472 - 200. Find v such that -3*v**2 - 272 + y = 0.
0
Let z = 3852 + -3847. Determine j, given that 1/3*j + 1/3*j**4 + 2/3*j**z + 0 - 1/3*j**2 - j**3 = 0.
-1, 0, 1/2, 1
Let o(l) be the second derivative of l**7/189 + l**6/27 + l**5/18 - 5*l**4/54 - 2*l**3/9 + 332*l. Determine f so that o(f) = 0.
-3, -2, -1, 0, 1
Let t be (3/(-5) - 594/(-440))*(-15)/(-6). Factor -3/4 + 3/2*r**2 - t*r + 9/8*r**3.
3*(r - 1)*(r + 2)*(3*r + 1)/8
Let -30 - 57/2*n**2 - 21/2*n**3 + 114*n = 0. What is n?
-5, 2/7, 2
Let j(n) = -19*n - n**2 + 14 + 4*n**2 - n**2 - 3*n**2. Let p(r) = -10*r**2 - 210*r + 155. Let m(o) = 65*j(o) - 6*p(o). Factor m(y).
-5*(y - 4)*(y - 1)
Let a(w) be the first derivative of -w**4 + 4 - 1/3*w**6 - 6/5*w**5 + 0*w**2 + 0*w**3 + 0*w. Determine b, given that a(b) = 0.
-2, -1, 0
Solve 18*h**3 + 0 - 10 + 4*h**2 + 10 = 0.
-2/9, 0
Let z = -37 + 37. Let a(b) be the third derivative of 0*b + 4/1155*b**7 - 7/660*b**6 + 0*b**3 + 4*b**2 + 1/132*b**4 + 1/165*b**5 + z. Factor a(y).
2*y*(y - 1)**2*(4*y + 1)/11
Let x(c) be the second derivative of c**4/78 + 7*c**3/39 - 8*c**2/13 + 4*c - 5. Solve x(k) = 0 for k.
-8, 1
Factor 30 - 326*a**3 + 215*a + 707*a**3 + 285*a**2 + 80*a**4 - 741*a**3.
5*(a - 3)*(a - 2)*(4*a + 1)**2
Let o(v) = v + 10. Let t be o(-7). Factor i**t + 11*i**4 + i**4 + 0*i**5 - 8*i**5 - 5*i**3.
-4*i**3*(i - 1)*(2*i - 1)
Determine d so that 6*d + 46 + d - 38 - 6*d**2 + d = 0.
-2/3, 2
Let l be 3 - (29 + (-4 - -1)). Let o = l - -27. Find b, given that o*b**4 - 109*b**2 - 2*b**5 + 2*b**4 + 101*b**2 = 0.
-1, 0, 2
Let n(a) be the second derivative of a**9/2268 + a**8/336 + a**7/210 - a**6/270 - 13*a**3/6 + a - 4. Let h(s) be the second derivative of n(s). Factor h(l).
l**2*(l + 2)**2*(4*l - 1)/3
Let v(u) be the third derivative of 17*u**2 + 0 + 8/9*u**3 + 0*u - 1/18*u**5 + 1/180*u**6 + 1/18*u**4. Factor v(n).
2*(n - 4)*(n - 2)*(n + 1)/3
Let b(q) be the second derivative of -q**5/200 + 27*q**4/20 - 729*q**3/5 + 39366*q**2/5 + 134*q. Factor b(n).
-(n - 54)**3/10
Let 43/2*a**2 + 5/2*a**3 - 64*a + 22 = 0. Calculate a.
-11, 2/5, 2
Let x = 9 + -3. Solve -x*z + 2*z**4 - 6*z**3 + 3*z**2 + z**4 + 6*z = 0.
0, 1
Find m such that 132347*m**2 - 132343*m**2 - 4*m - 3*m**4 - 4*m**3 + 9*m**3 = 0.
-1, 0, 2/3, 2
Let f(a) = -24 + 24 - 36*a**2 - 72*a**3 - 18*a + 30*a - 32*a**4. Let k(r) = -r**4 + r**3 - r**2 - r. Let d(p) = f(p) - 4*k(p). Factor d(c).
-4*c*(c + 1)*(c + 2)*(7*c - 2)
Let m(l) be the third derivative of l**7/490 + l**6/140 - l**5/35 - l**4/28 + 3*l**3/14 + 5*l**2 + 3. Suppose m(p) = 0. What is p?
-3, -1, 1
Let a be 2/8 + (-2105)/(-140) + -15. Let 0*n**3 + 4/7*n**2 - 4/7*n**4 + 0 + 2/7*n - a*n**5 = 0. Calculate n.
-1, 0, 1
Let v(k) be the first derivative of -k**6/39 + 2*k**5/13 + 53*k**4/26 - 242*k**3/39 - 952*k**2/13 - 1568*k/13 - 289. Solve v(d) = 0 for d.
-4, -1, 7
Let z = 49/1650 - 2/75. Let u(x) be the third derivative of -z*x**5 + 4*x**2 + 0 + 1/22*x**4 + 0*x - 3/11*x**3. What is y in u(y) = 0?
3
Let y be 2/20 - 783/(-2610). Let h**2 - 3/5*h**3 + 1/5*h**5 + 0 - y*h - 1/5*h**4 = 0. Calculate h.
-2, 0, 1
Let m(u) be the first derivative of 2*u**6/3 + 12*u**5/5 + 185. Determine t so that m(t) = 0.
-3, 0
Factor -22/3*q**2 - 6 + 8/3*q**4 - 4*q**3 + 43/3*q + 1/3*q**5.
(q - 1)**3*(q + 2)*(q + 9)/3
Let u(h) be the first derivative of 0*h + 0*h**2 - 15 + 1/3*h**3. Factor u(g).
g**2
Let t be (-204)/(-9) + -24 - 16/(-6). Solve -5/3*y**3 - t + 5/3*y + 1/3*y**4 + y**2 = 0.
-1, 1, 4
Let v(t) be the third derivative of -t**6/420 - 31*t**5/210 - 85*t**4/28 - 75*t**3/7 - t**2 + 16. Factor v(s).
-2*(s + 1)*(s + 15)**2/7
Let w(f) = -9*f**2 - 208*f - 2207. Let s(x) = 38*x**2 + 831*x + 8829. Let c(j) = 2*s(j) + 9*w(j). Factor c(d).
-5*(d + 21)**2
Let z(t) be the first derivative of -1/3*t**4 - 2/3*t - 15 + 7/6*t**2 + 5/9*t**3. Factor z(h).
-(h - 2)*(h + 1)*(4*h - 1)/3
Let m = 21 + 14. Let s = 39 - m. Determine f so that -2 + 4*f + s*f + 2*f**2 - 4*f - 4*f**2 = 0.
1
Let d be (13342/1904 - 7) + 4/34. Let g(z) be the first derivative of 2 + 1/12*z**3 + d*z**2 + 0*z. Factor g(y).
y*(y + 1)/4
Let s(c) be the third derivative of 0*c + 1/8*c**4 - 1/10*c**5 + 0*c**3 + 6*c**2 + 1/40*c**6 + 0. Factor s(i).
3*i*(i - 1)**2
Let b be 7 - 6/((-48)/(-50)). Determine a, given that 3/4*a**4 + 0*a**3 - b*a**2 + 0*a + 0 = 0.
-1, 0, 1
Let d be 13 + 0 + 8/2. Suppose 0 + 0*b + 2 - d - 10*b + 5*b**2 = 0. Calculate b.
-1, 3
Let d(i) = i**2 - 7*i - 13. Let y(r) = r**2 - 3*r - 7. Let h(m) = m. Let g be h(0). Suppose -7*x + 2*x - 25 = g. Let j(l) = x*y(l) + 3*d(l). Factor j(p).
-2*(p + 1)*(p + 2)
Let m(r) = -r**3 + 45*r + 30. Let n be m(7). Factor 12/7*k**4 + 4/7 + 18/7*k + 2/7*k**5 + 4*k**3 + 32/7*k**n.
2*(k + 1)**4*(k + 2)/7
Let s(o) = -o**4 + o**3 - o**2 + 2*o. Let l(x) = 3*x**4 - 15*x**3 + 3*x**2 - 3*x + 6. Let z(n) = l(n) + 6*s(n). Factor z(h).
-3*(h - 1)*(h + 1)**2*(h + 2)
Factor 5/2*m**3 - 45/2*m + 0 + 0*m**2.
5*m*(m - 3)*(m + 3)/2
Let n = -111 + 113. Let m be 8 - (3 + (4 - n)). Factor -m + 3/2*k**2 + 3/2*k.
3*(k - 1)*(k + 2)/2
Let j(w) = -w**3 - 11*w**2 + 33*w + 16. Let z be j(-14). Let v = z + -283/2. Factor -v*u - 1/2*u**3 - u**2 + 0.
-u*(u + 1)**2/2
Let a(l) be the third derivative of -l**5/20 + 15*l**4/8 - 22*l**3 - 188*l**2 - 2*l. Factor a(g).
-3*(g - 11)*(g - 4)
Suppose -7*q - 35 = -63. Let z(t) be the first derivative of 6 + 1/8*t**q + 0*t + 1/6*t**3 + 0*t**2. Factor z(f).
f**2*(f + 1)/2
Let g be 5/6 - (4550/156)/(-25). Factor 1/2*x**3 + 0 + 9/2*x - 3*x**g.
x*(x - 3)**2/2
Let t(c) be the second derivative of -3*c**5/5 + 23*c**4 + 95*c**3/2 + 36*c**2 + 372*c. Factor t(w).
-3*(w - 24)*(2*w + 1)**2
Let k(p) be the second derivative of -p**4/34 + 28*p**3/51 - 9*p**2/17 + 114*p. Find y such that k(y) = 0.
1/3, 9
Let v(g) be the first derivative of 1/3*g**5 - 1/3*g**4 + 0*g**3 + 7/30*g**6 - 9/2*g**2 - 8 + 0*g. Let l(i) be the second derivative of v(i). Factor l(y).
4*y*(y + 1)*(7*y - 2)
Let g(h) = 2*h**2 - 7*h - 1. Let v be g(5). Suppose 3*s = -3*y + 5 + 13, 3*s - v = -y. Let -1/2*x**y + 1/4*x + 1/2 - 1/4*x**3 = 0. Calculate x.
-2, -1, 1
Let t(h) be the third derivative of -1/30*h**5 + 1/20*h**6 + 0*h + 0 - 1/105*h**7 + h**2 - 1/4*h**4 + 2/3*h**3. Factor t(w).
-2*(w - 2)*(w - 1)**2*(w + 1)
Suppose 0 = 4*w - 0 - 12. Factor -3*f - 4*f + w*f + 2*f + 4 - 2*f**2.
-2*(f - 1)*(f + 2)
Let q(v) be the third derivative of 0*v**3 + 0*v - 2/105*v**7 + 0 - 14*v