 z.
-1, 3
Let t(h) = 5*h**3 - 19*h**2 + 4. Let y(g) = 1. Let r(w) = -10*w**3 + 37*w**2 - 9. Let b(f) = r(f) + 2*y(f). Let o(a) = 4*b(a) + 7*t(a). Factor o(m).
-5*m**2*(m - 3)
Let v(c) = 11*c**4 - 40*c**3 + 6*c - 3. Let d(f) = 2*f**4 + 2*f - 1. Let w(j) = 3*d(j) - v(j). Factor w(l).
-5*l**3*(l - 8)
Let j(r) = -r**3 - r**2 - 1. Let b(h) = -h**2 + 3*h + 4. Let n(w) = w**3 + 7*w**2 + 8*w + 14. Let o be n(-6). Let a(m) = o*j(m) + b(m). Solve a(u) = 0 for u.
-2, -1/2, 1
Let i(d) be the second derivative of d**6/180 + 3*d**5/40 + 29*d**4/72 + 13*d**3/12 + 3*d**2/2 + 48*d - 1. Determine y, given that i(y) = 0.
-3, -2, -1
Let w(g) = 16*g**3 + 16*g**2 - 12*g + 4. Let d(l) = -2*l**3 - l**2 + l - 1. Let v(k) = 4*d(k) + w(k). Determine n so that v(n) = 0.
-2, 0, 1/2
Suppose 402*j + 32 = 2*r + 398*j, 21 = -3*j. What is w in 2/3*w**3 + 16/3 + 2/3*w**4 - 4*w**r - 8/3*w = 0?
-2, 1, 2
Let a(i) = i**3 - 8*i**2 + 12*i + 3. Let d be a(8). What is s in d*s - 26 + 58 - 28*s**2 + 5*s = 0?
-2/7, 4
Let y(j) be the second derivative of 2*j**5/15 - 3*j**4/2 - 7*j**3/9 + 347*j. Let y(h) = 0. What is h?
-1/4, 0, 7
Let x = 5 + -1. Suppose x*u = -4*z + 20, -3*u + u = 5*z - 10. What is j in 1/3*j**2 + 1/3*j**3 + z - 1/3*j**4 - 1/3*j = 0?
-1, 0, 1
Let m(a) = -40*a**2 - 36*a - 37. Let i(y) = 14*y**2 + 12*y + 12. Let w(o) = -17*i(o) - 6*m(o). Find g, given that w(g) = 0.
-3
Let o(i) be the second derivative of 22*i - 1/36*i**4 + 2/3*i**3 - 6*i**2 + 0. Factor o(k).
-(k - 6)**2/3
Factor -5/3*i**3 + 280/3*i - 35/3*i**2 - 80.
-5*(i - 4)*(i - 1)*(i + 12)/3
What is h in 2/17*h**4 - 2/17*h**5 + 12/17*h**3 + 0 - 8/17*h**2 - 16/17*h = 0?
-2, -1, 0, 2
Suppose -2*b - b = f + 7, -3*b + 5*f = 19. Let u be 2*(-1 - 2)/b. Factor -8 + 5 - 14 - 4*x**4 + 8*x**3 - 16*x + 1 + 12*x**u.
-4*(x - 2)**2*(x + 1)**2
Let y(w) be the second derivative of 2*w**6/15 + 9*w**5/5 + 26*w**4/3 + 16*w**3 - 30*w. Suppose y(j) = 0. What is j?
-4, -3, -2, 0
Let l(f) be the second derivative of f**7/15120 - f**6/2160 + f**5/720 - 13*f**4/12 - 11*f. Let y(n) be the third derivative of l(n). Factor y(u).
(u - 1)**2/6
Let g = -18 + 22. Let r(m) = -m**g - 15*m**2 + 15*m**2. Let y(i) = -14*i**4 + 6*i**2 - 4*i. Let v(u) = -12*r(u) + y(u). Factor v(s).
-2*s*(s - 1)**2*(s + 2)
Let g(q) be the first derivative of q**4/6 + 10*q**3/9 + 4*q**2/3 - 145. Factor g(o).
2*o*(o + 1)*(o + 4)/3
Let v(f) = -f + 1. Let u be v(1). Let r be -12 + (-640)/(-50)*1. Find s, given that r*s**2 + u + 2/5*s + 2/5*s**3 = 0.
-1, 0
Factor 105*o**3 - 102*o**3 - 2*o - 16 - o + 40 - 24*o**2.
3*(o - 8)*(o - 1)*(o + 1)
Let b(v) be the second derivative of v**6/4140 + v**5/345 - 5*v**4/276 - 4*v**3 + 2*v. Let p(l) be the second derivative of b(l). Factor p(q).
2*(q - 1)*(q + 5)/23
Let s(o) be the first derivative of o**6/40 + o**5/20 + 10*o**2 - 4. Let c(g) be the second derivative of s(g). Suppose c(l) = 0. What is l?
-1, 0
Let p(i) be the third derivative of 35/16*i**4 - 10/3*i**3 + 0*i - 5/48*i**5 + 0 - 9*i**2. Factor p(q).
-5*(q - 8)*(5*q - 2)/4
Let j = 25/132 - -2/33. Let c be (3 - 4) + 3/2. Find z, given that -c*z**2 - 1/4*z**3 - j*z + 0 = 0.
-1, 0
Let m be (472/(-72))/((-60)/(-9)). Let i = -7/12 - m. Determine k so that k + i - 4/5*k**3 - 1/5*k**5 - 4/5*k**4 + 2/5*k**2 = 0.
-2, -1, 1
Let d(i) be the first derivative of -i**3 - 3*i**2/2 - 172. Factor d(o).
-3*o*(o + 1)
Let o(p) be the first derivative of -3*p**5/10 + 81*p**4/8 - 243*p**3/2 + 2187*p**2/4 - 90. Factor o(y).
-3*y*(y - 9)**3/2
Let s(b) = -b**4 + 2*b**3 - b**2 - 1. Let n(q) = q**4 - 6*q**3 - 3*q**2 + 32*q - 25. Let t(y) = -n(y) + s(y). Suppose t(p) = 0. Calculate p.
-2, 1, 2, 3
Let j = -2302504 - -428266807/186. Let d = -3/62 + j. Suppose 20/3*h - 8/3 - 2/3*h**5 + 11/3*h**4 - d*h**3 - 2/3*h**2 = 0. Calculate h.
-1, 1/2, 2
Let f(v) = -2*v**2 + v + 1. Let d(k) = -8*k**2 + 5*k + 43. Let c(w) = d(w) - 3*f(w). Factor c(j).
-2*(j - 5)*(j + 4)
Suppose 5/3*b**3 + 5/3*b**2 + 0 - 2/3*b - b**5 - 5/3*b**4 = 0. What is b?
-2, -1, 0, 1/3, 1
Let t(v) = v**4 - 35*v**3 + 4*v**2. Let h(q) = 5*q**4 - 140*q**3 + 15*q**2. Let x(y) = 4*h(y) - 15*t(y). Determine b so that x(b) = 0.
0, 7
Let c(h) be the second derivative of h**6/200 - h**5/100 + 5*h**2/2 + 10*h. Let x(k) be the first derivative of c(k). Factor x(n).
3*n**2*(n - 1)/5
Factor 40*n**3 + 17*n**3 + 77*n**2 + 31*n - 161*n - 12*n**3 + 498*n**2.
5*n*(n + 13)*(9*n - 2)
Let q(i) be the first derivative of -i**4/4 + i**3/3 + 5*i**2 + 8*i + 334. Factor q(j).
-(j - 4)*(j + 1)*(j + 2)
Let g = 30 - 14. Let h be (9/(-6))/((-2)/g). Find u such that h + 3*u**2 - 10*u + 5*u - 2*u - 5*u = 0.
2
Let d(a) be the second derivative of a**7/504 + a**6/48 + a**5/12 - 7*a**4/6 + 16*a. Let t(g) be the third derivative of d(g). What is c in t(c) = 0?
-2, -1
Let h(y) be the first derivative of 3*y**5/35 + 3*y**4/4 + 17*y**3/7 + 51*y**2/14 + 18*y/7 - 75. Factor h(t).
3*(t + 1)**2*(t + 2)*(t + 3)/7
Let v(i) = -i**2 - 42*i - 75. Let r(w) = -10*w**2 - 505*w - 900. Let f(u) = 2*r(u) - 25*v(u). Factor f(o).
5*(o + 3)*(o + 5)
Suppose -8 = -3*w - i, -3*w = -0*i - i - 4. Suppose -2*u**2 + w*u**2 - 12*u**3 + 4*u + 4*u**5 + 4*u**3 = 0. What is u?
-1, 0, 1
Suppose 10*c = l + 5*c - 2, l + 3*c + 6 = 0. Let s be 2/l + (39/45 - 0). Factor s*u**3 - 1/5 + 3/5*u - 3/5*u**2.
(u - 1)**3/5
Let o(m) be the third derivative of m**8/84 - 22*m**7/105 + 3*m**6/5 - 103*m**2 + 2. Factor o(c).
4*c**3*(c - 9)*(c - 2)
Let s(d) = 95*d**3 - 1890*d**2 + 34020*d - 204140. Let l(w) = -14*w**3 + 270*w**2 - 4860*w + 29163. Let u(q) = -20*l(q) - 3*s(q). Let u(c) = 0. What is c?
18
Let p(w) be the third derivative of w**8/50400 + w**7/2520 + w**6/450 + w**5/4 - 8*w**2. Let l(z) be the third derivative of p(z). Factor l(i).
2*(i + 1)*(i + 4)/5
Let j be (14/(-3) + 2)*15. Let x = j - -60. Solve -3*z**2 - 4 - 28*z**2 + 6*z**2 - x*z = 0 for z.
-2/5
Let h(u) be the first derivative of -u**4 - 8/3*u**3 + 2/5*u**5 + 22 + 6*u + 2*u**2. Factor h(i).
2*(i - 3)*(i - 1)*(i + 1)**2
Let x(w) be the third derivative of -w**7/16380 - w**6/780 + 7*w**5/780 + w**4/8 - w**3/6 - 24*w**2 + w. Let f(o) be the second derivative of x(o). Factor f(q).
-2*(q - 1)*(q + 7)/13
Determine j so that 4/3*j**2 - 24*j + 260/3 = 0.
5, 13
Let t(m) = 6*m + 2. Let h be t(-2). Let b = h - -10. Suppose b*y**2 - 5*y + y**2 - y + 8*y = 0. Calculate y.
-2, 0
Let v be (-10)/(-15)*(-4 + (-69)/(-6)). Find i such that -5*i**2 + 2 - 1490*i + 1500*i - 2 - v = 0.
1
Let z(w) be the second derivative of -1/4*w**4 + 3*w**3 + 21/2*w**2 - 1 - 31*w. Factor z(s).
-3*(s - 7)*(s + 1)
Let b(n) be the third derivative of 0*n**3 - 4*n**2 + 5/216*n**8 + 0*n + 1/135*n**6 + 0*n**4 + 0 - 8/315*n**7 + 0*n**5. Factor b(v).
2*v**3*(5*v - 2)*(7*v - 2)/9
Let d(j) be the first derivative of -2*j**5/5 - 35*j**4/2 + 74*j**3/3 + 35*j**2 - 72*j - 41. Solve d(w) = 0.
-36, -1, 1
Let s(t) = 7*t**2 + 59*t - 55. Let p(k) = 4*k**2 + 30*k - 28. Let g(w) = 11*p(w) - 6*s(w). Solve g(o) = 0.
1, 11
Let q(a) = -65*a**3 + 1095*a**2 + 65*a - 1170. Let i(z) = -8*z**3 + 137*z**2 + 8*z - 146. Let g(x) = 25*i(x) - 3*q(x). Find k, given that g(k) = 0.
-1, 1, 28
Suppose -3*m - 3*l + 1 = -7*m, 2*l = -5*m + 16. Let f be 16/16 - (-2)/m. Suppose 0 - 3/7*j**3 - j**f + 5/7*j**5 - 2/7*j + j**4 = 0. What is j?
-1, -2/5, 0, 1
Let h(v) be the third derivative of 3*v**2 + 0*v - 2/45*v**6 + 0*v**3 + 7/90*v**5 - 1/18*v**4 + 1/105*v**7 + 0. Solve h(k) = 0 for k.
0, 2/3, 1
Let x be -2 - (1 - 3) - (-2 + -1). Find y, given that -3*y**2 + 3*y - 12*y**3 + 3 + 22*y**3 - 13*y**x = 0.
-1, 1
Let n(g) be the second derivative of g**7/630 + g**6/90 - g**5/10 + 7*g**4/4 + 41*g. Let m(r) be the third derivative of n(r). Solve m(c) = 0 for c.
-3, 1
Let g(f) be the second derivative of -f**5/10 - 7*f**4/3 - 49*f**3/3 - 27*f + 2. Suppose g(h) = 0. What is h?
-7, 0
What is a in 185*a**2 - 4807*a**4 - 91*a**5 + 5032*a**4 - 165*a + 595*a**3 + 21*a**5 - 50 = 0?
-1, -2/7, 1/2, 5
Let i(w) = -15*w**4 + 10*w**3 + 80*w**2 - 85*w - 5. Let y(o) = -17*o**4 + 11*o**3 + 80*o**2 - 86*o - 6. Let l(n) = 6*i(n) - 5*y(n). Let l(x) = 0. Calculate x.
-4, 0, 1, 4
Factor 7*y**3 - 5/2 - 24*y**2 + 5/2*y**4 + 17*y.
(y - 1)**2*(y + 5)*(5*y - 1)/2
Let q be 1659/154 + -5 + 2. Let c = -3/11 + q. Determine z, given that 6*z**2 - c*z + 3 - 3/2*z**3 = 0.
1, 2
Factor -1729*b