3*b**6 + 3/2*b**4 + 0*b**2 - 2/3*b**3 + 0*b. Find h, given that t(h) = 0.
0, 1
Determine w, given that 8/3 + 16/3*w**4 - 16/3*w**3 + 4*w**5 + 4/3*w - 8*w**2 = 0.
-1, 2/3, 1
Suppose x + 3*a - 11 - 9 = 0, 0 = x - a. Let l(k) be the second derivative of 1/80*k**x + 2*k - 1/24*k**4 + 0*k**2 + 1/24*k**3 + 0. Let l(s) = 0. What is s?
0, 1
Let v(j) = 5*j**2 + 9*j - 2. Suppose 0 = -2*g - 3*n - 3 + 19, 3*n - 12 = 0. Let t(y) = -y + 2 + y**2 - 5*y**g - 7*y. Let c(l) = -6*t(l) - 5*v(l). Factor c(r).
-(r - 2)*(r - 1)
Let b(u) be the third derivative of -7*u**8/240 + u**7/15 + 101*u**6/600 - 31*u**5/150 - 13*u**4/30 - 4*u**3/15 + 8*u**2. Suppose b(v) = 0. What is v?
-1, -2/7, 1, 2
Let r be (-12)/(-4) + 2/(-2). Let i be (-1)/(-2)*r*2. Solve 4*m**2 - 3*m - i*m**2 - m = 0 for m.
0, 2
Suppose -2*i + 12 = i. Factor -18 + 12*r**3 - 6*r**4 - 5*r + 4*r**i - 7*r + 4*r**4 + 16*r**2.
2*(r - 1)*(r + 1)*(r + 3)**2
Let b(g) be the third derivative of 1/48*g**4 + 1/80*g**5 - g**2 + 0*g + 0 - 1/24*g**3. Factor b(u).
(u + 1)*(3*u - 1)/4
Let k(a) be the first derivative of -a**4/4 + 10*a**3/3 - 6*a**2 - 72*a + 45. Solve k(l) = 0 for l.
-2, 6
Factor -20*w**3 + 0*w**4 + 15*w**5 + 16*w**4 - 5*w**2 - 19*w**5 + 13*w**2.
-4*w**2*(w - 2)*(w - 1)**2
Let z(s) = s**2 - 3*s - 6. Let l be z(5). Suppose 0 = -2*d - d + l*x - 6, 3 = 3*d - x. Factor 2*t**2 + 2*t**3 + 0*t - d + 2*t - 4*t.
2*(t - 1)*(t + 1)**2
Let g(w) = -7*w**2 + 4*w + 5. Let z(b) = -8*b**2 + 2*b + 28. Let p(f) = -3*f**2 + f + 9. Let h(x) = 10*p(x) - 3*z(x). Let m(k) = 2*g(k) - 3*h(k). Factor m(u).
4*(u - 2)*(u + 1)
Let b(f) be the third derivative of f**5/20 + f**4/8 + 8*f**2. Let b(c) = 0. What is c?
-1, 0
Let a(h) = -21*h - 24. Let m(v) = v**2 + 62*v + 73. Let g(i) = 8*a(i) + 3*m(i). Factor g(z).
3*(z + 3)**2
Let b(y) be the second derivative of y**9/19656 - y**8/5460 + y**6/1170 - y**5/780 - y**3/6 + 9*y. Let s(o) be the second derivative of b(o). Factor s(q).
2*q*(q - 1)**3*(q + 1)/13
Let g be (-2)/(2/(-20) - 546/140). Factor -g*k**2 + 1/2*k + 1.
-(k - 2)*(k + 1)/2
Let u(m) = 8*m**2 - 4*m + 3. Let t(a) = -7*a**2 + 3*a - 2. Let j(i) = -3*t(i) - 2*u(i). Let r be j(1). Factor 2*c**3 - 4*c**3 - r*c**5 + 8*c**4 - 2*c**4.
-2*c**3*(c - 1)*(2*c - 1)
Let k(h) = h**2 + 1. Let r be k(-3). Factor b + 7 - r + 3*b**2 + 0*b**3 - b**3.
-(b - 3)*(b - 1)*(b + 1)
Let l(a) be the third derivative of -a**6/840 + a**5/280 - 2*a**3/3 - 6*a**2. Let t(q) be the first derivative of l(q). Factor t(j).
-3*j*(j - 1)/7
Let l(g) = -7*g + 7*g + 8*g**4 + g**5. Let j(q) be the first derivative of q**6/6 + 7*q**5/5 - 4. Let w(o) = -7*j(o) + 6*l(o). Let w(i) = 0. What is i?
-1, 0
Let i(s) = s**2 - 19*s - 35. Let u(l) = 9*l + 18. Let j(p) = -3*i(p) - 5*u(p). Determine n, given that j(n) = 0.
-1, 5
Let w(r) be the first derivative of 2*r**3/27 + r**2/9 - 4*r/9 + 57. Solve w(s) = 0 for s.
-2, 1
Let u(f) = -2*f**5 - 4*f**4 + 2*f**3 + 6*f**2 - 2*f. Let l(i) = -i**5 + i**3 - i**2 + i. Let j(d) = -2*l(d) - u(d). Suppose j(x) = 0. What is x?
-1, 0, 1
Let a(i) be the second derivative of i**5/20 - i**4/8 - i**2 - 3*i. Let y(k) be the first derivative of a(k). Determine q, given that y(q) = 0.
0, 1
Let s(j) be the third derivative of -j**8/9240 + j**7/4620 + j**6/1980 - j**5/660 + j**3/2 + 4*j**2. Let k(f) be the first derivative of s(f). Factor k(i).
-2*i*(i - 1)**2*(i + 1)/11
Determine g, given that 10/9*g**2 + 2/3 - 14/9*g - 2/9*g**3 = 0.
1, 3
Let r(s) be the third derivative of -s**7/735 - s**6/420 + s**2. Let r(z) = 0. Calculate z.
-1, 0
Let d(s) be the third derivative of 2*s**7/105 + s**6/30 - s**5/15 - s**4/6 + 8*s**2. Factor d(l).
4*l*(l - 1)*(l + 1)**2
Let f be (-120)/(-9) + 2 + 4/6. Factor -2/3 - f*x**2 + 6*x + 32/3*x**3.
2*(x - 1)*(4*x - 1)**2/3
Let t(s) = s - 5*s + 3*s**2 + 7*s. Let r(y) be the second derivative of y**4/6 + y**3/3 + y. Let k(p) = 4*r(p) - 3*t(p). What is d in k(d) = 0?
-1, 0
Let i(m) be the second derivative of -1/25*m**5 + 5*m + 0*m**2 - 1/75*m**6 + 0*m**3 + 0 - 1/30*m**4. Factor i(z).
-2*z**2*(z + 1)**2/5
Factor -4*n + 7*n + 6*n**4 - 3*n + 2*n**5 + 2*n**2 + 6*n**3.
2*n**2*(n + 1)**3
Let k(o) = -2*o**2 + 13*o + 32. Let y(s) = -s**2 - s + 1. Let p = -1 - 0. Let v(i) = p*k(i) + 5*y(i). Factor v(c).
-3*(c + 3)**2
Let k(w) be the second derivative of -2*w**6/15 + 3*w**5/5 + 2*w**4/3 - 8*w**3 + 16*w**2 + w - 18. Solve k(u) = 0.
-2, 1, 2
Suppose 0 + 3/2*h**2 + 0*h = 0. Calculate h.
0
Factor -7/12*z**2 - 1/12*z**3 + 4/3 - 2/3*z.
-(z - 1)*(z + 4)**2/12
Let r = 7 - 9. Let j be r/4 - 134/(-12). Factor -2/3 + 0*t + j*t**2.
2*(4*t - 1)*(4*t + 1)/3
Let b(c) be the second derivative of 2*c**6/255 + 3*c**5/170 - c**4/17 - 5*c**3/51 + 6*c**2/17 - c + 8. Solve b(x) = 0 for x.
-2, -3/2, 1
Suppose 0 = -10*p + 5*p + 5. Let a(y) be the first derivative of p + 2/3*y**3 - y**2 - 2*y + 1/2*y**4. Factor a(l).
2*(l - 1)*(l + 1)**2
Determine n so that 3/4*n**2 - 9/2*n + 15/4 = 0.
1, 5
What is n in 0*n**2 - 4/5*n**3 + 2/5 - 2/5*n**4 + 4/5*n = 0?
-1, 1
Let i(g) = -g**4 + 3*g**3 - g**2 - g. Let z(y) be the first derivative of y**3/3 - y**2/2 + 1. Let t(l) = -2*i(l) + 4*z(l). Factor t(s).
2*s*(s - 1)**3
Let y(n) be the first derivative of 2/21*n**3 - 2/7*n**2 - 4 + 0*n. Solve y(v) = 0 for v.
0, 2
Let h(w) = -2*w**3 - 4*w**2 - w + 2. Let b be h(-2). Let z = b - 4. Find m such that 0 + 0*m**2 + 1/3*m**5 - 1/3*m**4 + z*m**3 + 0*m = 0.
0, 1
Let z(c) = 9 + 5*c - c**3 + 4*c + 5*c**2 + 2*c**2 - 12. Let s be z(8). Find a, given that 0 + 0*a + 2/5*a**3 - 2/5*a**s + 0*a**4 + 0*a**2 = 0.
-1, 0, 1
Let z(c) = -c + 4. Let m be z(0). Let a(u) = -u**3 + 4*u**2 + 3. Let h be a(m). Factor l**3 - l + h*l**3 - 3*l**3.
l*(l - 1)*(l + 1)
Let y(i) = -i**3 + 2*i**2 + 2*i. Let d(g) = 3*g**3 - 5*g**2 - 5*g. Suppose -5*l = 27 - 2. Let q(v) = l*y(v) - 2*d(v). Factor q(z).
-z**3
Let c = -5/7 - -22/21. Let y = 1 + 1. Let 2/3*r**y - 1/3*r**3 + 0 - c*r = 0. Calculate r.
0, 1
Factor -6 - 14*j - 10*j**2 - 3*j**3 - j - 2*j**2.
-3*(j + 1)**2*(j + 2)
Let z = -3 - -6. Let v be (-21)/(-9) + (-1)/z. Solve 6*o**5 - o**4 + 3*o**4 - 7*o**3 - 4*o**5 + 5*o**5 - 2*o**v = 0 for o.
-1, -2/7, 0, 1
Let b = -22 + 34. Let d be b/56*4/3. Factor 0 + d*v**3 - 4/7*v**2 + 2/7*v.
2*v*(v - 1)**2/7
Let q = -14/9 + 17/9. Find j such that -1/3*j + 0 - 1/3*j**4 + q*j**2 + 1/3*j**3 = 0.
-1, 0, 1
Suppose 0 = -7*g - 5*g. Solve -1/2*r**4 + 0*r**3 + r + g + 3/2*r**2 = 0 for r.
-1, 0, 2
Let f(r) be the third derivative of 1/180*r**5 + 0*r + 6*r**2 - 1/9*r**3 + 1/72*r**4 + 0. Factor f(t).
(t - 1)*(t + 2)/3
Suppose -5 - 1 = -3*d. Determine g so that -2*g**2 + 8*g - 4 - d*g**2 + g**2 - g**2 = 0.
1
Let j(l) = -l - 1. Let b(w) = w**2 + 4*w. Let z(a) = -b(a) - 3*j(a). Let p(d) = 2*d**2 + 4*d - 8. Let i(c) = 3*p(c) + 8*z(c). Factor i(n).
-2*n*(n - 2)
Let k(i) be the first derivative of -i**5/10 - i**4/8 + i**3/6 + i**2/4 - 25. What is c in k(c) = 0?
-1, 0, 1
Let s(f) be the third derivative of f**8/336 + f**7/70 + f**6/40 + f**5/60 - 18*f**2. Let s(r) = 0. What is r?
-1, 0
Let v(a) be the third derivative of -a**8/20160 - a**7/1260 - a**6/240 - 5*a**4/12 - a**2. Let y(n) be the second derivative of v(n). Factor y(d).
-d*(d + 3)**2/3
Let m be (-2)/11 + (-46)/(-11). Suppose 6 = m*r - 2*r. Factor -j + j**r - 1/2 + 0*j**2 + 1/2*j**4.
(j - 1)*(j + 1)**3/2
Let t = -68 - -139/2. Find o, given that o - t*o**3 - 3/2*o**2 + 0 + 7/2*o**4 - 3/2*o**5 = 0.
-2/3, 0, 1
Let x(z) be the third derivative of z**7/1680 - 3*z**5/160 - z**4/48 + z**3/4 - 30*z**2. What is c in x(c) = 0?
-2, 1, 3
Let t(k) be the third derivative of k**8/840 - k**7/105 + k**6/100 + k**5/30 - k**4/15 + k**2 + 16*k. Determine b so that t(b) = 0.
-1, 0, 1, 4
Let k(x) be the second derivative of 3*x + 2*x**4 - 27/2*x**2 - 3*x**3 + 0 + 9/10*x**5 + 1/10*x**6. Factor k(m).
3*(m - 1)*(m + 1)*(m + 3)**2
Let n = 0 + 0. Let r(t) be the second derivative of n*t**2 + 0 - 1/30*t**6 + t + 1/20*t**5 + 0*t**4 + 0*t**3. Factor r(v).
-v**3*(v - 1)
Let m(z) = 8*z**2 + 6*z. Let f be m(-4). Suppose 2*b + 2*b - f = 0. Factor -19*k**2 - 2*k - b*k - 4 - 30*k**2.
-(7*k + 2)**2
Let v(q) be the second derivative of -q**6/6 + 3*q**5/4 - 5*q**4/4 + 5*q**3/6 - 11*q. Let v(c) = 0. Calculate c.
0, 1
Let k(v) = -v**2 + 5*v - 4. Let a be k(3). Find p such that -p**a - 2 + 4 - 3 + 2*p**2 = 0.
-1, 1
Solve -2/15*