 168*d**2. Find o such that m(o) = 0.
-1, 0, 2, 4
Let u(b) = -13*b**3 + 7*b**2 - 4*b + 4. Let g be u(2). Let v be (-9 + 3)/(g/10). Factor 0 + v*z**2 + 3/4*z.
3*z*(z + 1)/4
Let k be (5/80*2)/((-2)/(-20)). Let i = 39/86 + 2/43. Factor -k*w**2 - i + 7/4*w.
-(w - 1)*(5*w - 2)/4
Let o(t) be the first derivative of 0*t**4 + 1/240*t**5 - 1/6*t**3 - 6 - 5/2*t**2 + 0*t. Let b(v) be the second derivative of o(v). Factor b(l).
(l - 2)*(l + 2)/4
Let s(x) be the first derivative of -2*x**3/15 - 46*x**2/5 - 1058*x/5 + 187. Find m such that s(m) = 0.
-23
Let f(z) be the second derivative of -z**5/110 + 5*z**4/33 - 23*z**3/33 + 14*z**2/11 + 306*z. Factor f(d).
-2*(d - 7)*(d - 2)*(d - 1)/11
Let h(d) be the first derivative of -1/13*d**2 - 4 + 0*d**3 + 1/78*d**4 - 4*d. Let x(f) be the first derivative of h(f). Factor x(a).
2*(a - 1)*(a + 1)/13
Determine z so that 0 - 6/7*z**2 + 30/7*z = 0.
0, 5
Let x(i) be the second derivative of 2/147*i**7 - 4/21*i**4 + 2/21*i**6 - 33*i - 16/21*i**3 + 0*i**2 + 0 + 6/35*i**5. What is s in x(s) = 0?
-2, 0, 1
Let h be ((2/8)/(-1))/((-12)/96). Let o(t) be the second derivative of -1/6*t**4 + 0 + 1/15*t**6 + 1/3*t**3 - 4*t - 1/10*t**5 + 0*t**h. Factor o(a).
2*a*(a - 1)**2*(a + 1)
Let h(d) be the third derivative of d**8/2184 - 4*d**7/1365 + d**6/195 - 173*d**2. Find a such that h(a) = 0.
0, 2
Let f(q) be the second derivative of -q**5/60 - q**4/3 - 7*q**3/6 + 49*q**2/3 - 88*q. Factor f(d).
-(d - 2)*(d + 7)**2/3
Suppose -4*q - 4*w - 12 = 0, -3*w - 21 + 10 = 2*q. Factor 0*s**3 + 6*s**4 - 2*s**5 - 4*s**4 - q*s**2 + 3*s**3 - s**3.
-2*s**2*(s - 1)**2*(s + 1)
Suppose -4*c + 18 = r, 2*c - 28 = -5*r - 10. Let -1 + 3/2*w**c - 3/2*w + 7/2*w**3 + 3/2*w**2 = 0. What is w?
-1, 2/3
Suppose 2*y + 0*t - 2 = -2*t, 2*y - t - 5 = 0. Find c, given that -5*c**y + 5*c**4 - 45 - 5*c + 5*c**3 + 45 = 0.
-1, 0, 1
Let p(l) = 2*l**3 - l**2 + 1. Let w(i) = -5*i**3 - 8*i**2 - 32*i - 34. Let m(b) = -2*p(b) - w(b). Find t, given that m(t) = 0.
-4, -2
Let y = 1543 + -1541. Factor -2/7*g**y - 10/7*g - 8/7.
-2*(g + 1)*(g + 4)/7
Let c(v) be the first derivative of -v**4/7 + 8*v**3/21 + 2*v**2/7 - 8*v/7 + 146. What is u in c(u) = 0?
-1, 1, 2
Let a(u) be the third derivative of 8*u**6/45 + 136*u**5/15 + 67*u**4/6 + 50*u**3/9 + 429*u**2. Factor a(f).
4*(f + 25)*(4*f + 1)**2/3
Let n(c) = 75 - 5*c**3 - 3*c**2 - 2*c**2 + 10*c - 105. Let a(d) = 1. Let s(u) = -30*a(u) - n(u). What is q in s(q) = 0?
-2, 0, 1
Let g(x) be the first derivative of -8*x**2 + 2*x**5 + 0*x + 56/3*x**3 - 11*x**4 + 35. Factor g(b).
2*b*(b - 2)**2*(5*b - 2)
Let s be 2*-1 + 230/92. Let l = 2/7 + 3/14. Solve j + l + s*j**2 = 0 for j.
-1
Let b(q) = 25*q**3 + 19*q**2 - 17*q + 9. Let p be (-162)/(-72) + (-1)/4. Let o(m) = -6*m**3 - 5*m**2 + 4*m - 2. Let v(x) = p*b(x) + 9*o(x). Factor v(j).
-j*(j + 2)*(4*j - 1)
Let g(h) be the first derivative of 0*h**4 + 0*h**2 + 9 - 1/135*h**6 + 9*h + 0*h**3 - 1/30*h**5. Let q(b) be the first derivative of g(b). Factor q(k).
-2*k**3*(k + 3)/9
Let f(w) be the second derivative of 15/2*w**2 + 10/3*w**3 + 5/12*w**4 + 0 + 11*w. Determine l so that f(l) = 0.
-3, -1
Let q = -19 + 23. Suppose v = z - 5, 3*z + q*v = v + 9. Solve 4*b**3 - 12*b**z + 4*b**5 - 42*b**2 - 2*b + 54*b**2 - 6*b = 0 for b.
-1, 0, 1, 2
Let f(n) = -n**3 - 8*n**2 - 8*n - 1. Let q be f(-1). Let z(l) be the first derivative of 1/30*l**4 + 12 + 0*l + q*l**2 - 2/45*l**3. Factor z(a).
2*a**2*(a - 1)/15
Let f be 3/30 - 76/(-40). Factor -25/2*r**f - 1 + 27/2*r.
-(r - 1)*(25*r - 2)/2
Let v(u) be the second derivative of u**6/420 + 3*u**5/280 + u**4/56 - 3*u**3 + 12*u. Let d(s) be the second derivative of v(s). Factor d(c).
3*(c + 1)*(2*c + 1)/7
Let t(q) be the second derivative of q**7/42 + 7*q**6/150 - 3*q**5/100 - 7*q**4/60 - q**3/15 + 2*q - 11. Determine x, given that t(x) = 0.
-1, -2/5, 0, 1
Let f = 116 - 114. Find i, given that 0*i - 3*i**2 + 0*i + f*i + 4*i = 0.
0, 2
Let 0 + 0*u + 2/3*u**2 - 2/9*u**3 = 0. What is u?
0, 3
Let m(u) be the first derivative of -u**5/20 + u**4/4 - u**3/2 - 2*u**2 + 11. Let r(n) be the second derivative of m(n). Find h such that r(h) = 0.
1
Let j(o) be the second derivative of 0*o**2 - 3*o - 1/24*o**3 + 0 - 1/96*o**4. Factor j(y).
-y*(y + 2)/8
Let i = 11 + -94. Let g = 86 + i. Find y, given that 2/13*y**g + 4/13*y**2 + 0 + 2/13*y = 0.
-1, 0
Let a(v) be the first derivative of -1/12*v**3 + 49 + 1/8*v - 1/16*v**2. Solve a(x) = 0 for x.
-1, 1/2
Let k be 1 - 4 - 35/(-10). Suppose 22 = 5*u - 6*u + 5*r, -2*r = -10. Factor 0 + y**u - 1/2*y**5 - k*y**4 + 0*y + 0*y**2.
-y**3*(y - 1)*(y + 2)/2
Let f(n) be the third derivative of -19*n**7/1155 + 2*n**6/33 + 91*n**5/330 - 31*n**4/33 + 4*n**3/11 + 903*n**2. Let f(y) = 0. Calculate y.
-2, 2/19, 1, 3
Suppose 0 = 3*z - 2*n - 5 - 11, -5*n + 60 = 5*z. Let m = 14 + -2. Factor m*v**2 + 4*v**2 - v**2 + 12*v**3 - 3*v**2 - z*v - 8*v**4.
-4*v*(v - 2)*(v + 1)*(2*v - 1)
Let n(o) = -5*o**2 + 71*o + 62. Let c be n(15). Factor -c*g**4 - 8/9*g**2 + 0 + 0*g - 4/9*g**5 - 8/3*g**3.
-2*g**2*(g + 2)**2*(2*g + 1)/9
Let f = 10 + -7. Let a(r) be the first derivative of -1 + 6*r**2 - 3*r - 3/5*r**5 + f*r**4 - 6*r**3. Solve a(o) = 0 for o.
1
Let d(r) = 6*r**3 + 172*r**2 + 36*r - 228. Let s(x) = -x**3 - 34*x**2 - 8*x + 46. Let t(g) = 3*d(g) + 14*s(g). Let t(i) = 0. What is i?
-10, -1, 1
Suppose 0 = 5*i - 461 + 101. Suppose -68*s + i*s = 0. Factor -1/3*m**3 + s*m**2 + 1/3*m + 0.
-m*(m - 1)*(m + 1)/3
Let f(v) be the first derivative of 2*v**5/25 - v**4 - 2*v**3/15 + 2*v**2 - 38. Factor f(y).
2*y*(y - 10)*(y - 1)*(y + 1)/5
Let x = 49/25 + 71/25. Solve 4*y - 4/5*y**2 + x = 0 for y.
-1, 6
Let u(m) = -41*m**2 + 23*m + 24. Let r(i) = -24*i**2 + 12*i + 12. Let j(q) = 5*r(q) - 3*u(q). Factor j(p).
3*(p - 4)*(p + 1)
Factor 2*b + 4*b + 3*b + 6*b**2 - 8*b + 3*b**3 + 2*b.
3*b*(b + 1)**2
Let g(k) be the third derivative of -k**8/1344 + k**6/144 - k**4/4 - 30*k**2. Let w(v) be the second derivative of g(v). Factor w(t).
-5*t*(t - 1)*(t + 1)
Suppose -8/9*m - 2/9*m**4 + 0*m**3 - 8/3 + 2*m**2 = 0. What is m?
-3, -1, 2
What is b in 0 + 14*b**3 + 44/3*b**2 + 16/3*b + 16/3*b**4 + 2/3*b**5 = 0?
-4, -2, -1, 0
Let p(o) = 28*o**3 - 12*o**2 + 7*o + 7. Let a(z) = 17*z**3 + 4*z + 4 + z**3 - 6*z**2 + 0*z - 4*z**3. Let k(q) = 7*a(q) - 4*p(q). Solve k(f) = 0.
0, 3/7
Let i(r) be the third derivative of -r**5/180 - 23*r**4/18 + 31*r**3/6 - 4*r**2 + r. Factor i(q).
-(q - 1)*(q + 93)/3
Let f = 1504 - 43623/29. Let v = 115/116 + f. Suppose 5/4*u + v*u**2 - u**4 + 1/4 - 5/4*u**3 = 0. What is u?
-1, -1/4, 1
Let n(u) be the third derivative of u**6/120 + u**5/60 - 3*u**4/8 - 3*u**3/2 + 2*u**2 - 185. Suppose n(f) = 0. What is f?
-3, -1, 3
Let z = 1106 + -12164/11. Let -z*x**2 - 32/11 + 16/11*x = 0. Calculate x.
4
Suppose -j = 2*j + 4*t - 24, -3 = 3*j - 5*t. Find s, given that 7 + j + s**3 + 3*s - 12 + s**2 - 4*s = 0.
-1, 1
Let w = 205 - 187. Let o(d) be the first derivative of -15/2*d**4 + w*d**2 - d**6 + 5*d**3 - 27/5*d**5 + 12*d - 2. Solve o(a) = 0.
-2, -1, -1/2, 1
Let r(o) be the second derivative of -o**8/2800 - o**7/350 - o**6/120 - o**5/100 + 3*o**3/2 + 9*o. Let c(l) be the second derivative of r(l). Factor c(w).
-3*w*(w + 1)**2*(w + 2)/5
Let l(d) = d + 7. Let g be l(-6). Let y(u) be the first derivative of 2/55*u**5 - 1/11*u**2 + 2/11*u**3 - 3/22*u**4 - g + 0*u. Determine o so that y(o) = 0.
0, 1
Solve -25/2 - 5*v - 1/2*v**2 = 0 for v.
-5
Let j(r) be the third derivative of -r**8/60480 - r**7/1890 - r**6/135 + r**5/60 + r**2. Let h(c) be the third derivative of j(c). Suppose h(k) = 0. What is k?
-4
Let -125*c**2 + 49*c**3 + 4*c**5 - 934 + 17*c**2 + 53*c**3 - 10*c**2 + 62*c - 38*c**4 + 922 = 0. Calculate c.
1/2, 1, 6
Let b be (-3)/((-21)/(-2))*735/(-75). Factor -2*z**2 - 6/5 - b*z - 2/5*z**3.
-2*(z + 1)**2*(z + 3)/5
Let g(q) = 66*q - 189. Let f(t) = -t**2 - 69*t + 192. Let o(m) = -3*f(m) - 4*g(m). What is j in o(j) = 0?
4, 15
Suppose 14 - 6 = -4*v. Let s be (-1455)/(-135) + v/(-9). Factor 2*b + s + b**2 - 4 - 7.
b*(b + 2)
Let s(l) be the third derivative of -l**6/120 - l**5/30 + l**4/8 + 34*l**2. Factor s(j).
-j*(j - 1)*(j + 3)
Let d(y) be the second derivative of -y**5/80 - y**4/24 - y**3/24 + 15*y + 6. Suppose d(t) = 0. What is t?
-1, 0
Let q be ((-4)/(-12))/((-10)/(-6)). Suppose 0 = -5*i + 5, -f - f