*y**2. Determine o, given that w(o) = 0.
0, 1/3, 1, 2
Find c such that 1/8*c**2 - 5/8 + 1/2*c = 0.
-5, 1
Let m(y) = -4*y**2 - 9*y - 4. Let k(x) = -1. Let u(h) = 10*k(h) - 5*m(h). Factor u(v).
5*(v + 2)*(4*v + 1)
Let m(r) = -r + 8. Let f be m(6). What is w in 5 + 9*w + 3*w**f + 3*w**2 + w - 1 = 0?
-1, -2/3
Factor 1 + 12*p + p**2 + p + 5*p - 20*p.
(p - 1)**2
Let j(y) be the first derivative of -1 - 1/4*y**2 + 0*y + 1/4*y**3 - 1/16*y**4. Factor j(h).
-h*(h - 2)*(h - 1)/4
Let w(v) be the first derivative of -1/20*v**4 + 4/5*v - 3 - 1/5*v**3 + 0*v**2. Factor w(r).
-(r - 1)*(r + 2)**2/5
Let o(r) be the first derivative of -2*r**5/5 - 2*r**4 - 4*r**3 - 4*r**2 - 2*r - 4. Find q, given that o(q) = 0.
-1
Let t = 227/12 + -69/4. Solve 2/3 + 4*r**2 - t*r**3 - 3*r = 0 for r.
2/5, 1
Suppose -11*n - 10 = -16*n. Let b(k) be the second derivative of 0 - k**n + k**3 - 1/21*k**7 + 1/5*k**6 - 1/5*k**5 - 1/3*k**4 - 3*k. Factor b(a).
-2*(a - 1)**4*(a + 1)
Let j(x) be the second derivative of 1/35*x**5 - x - 2/21*x**3 + 0 + 0*x**4 + 0*x**2. Factor j(k).
4*k*(k - 1)*(k + 1)/7
Let 2*r**3 + 0*r**3 + 0*r - 8*r = 0. What is r?
-2, 0, 2
Factor -2/23 + 0*t + 2/23*t**2.
2*(t - 1)*(t + 1)/23
Factor 0 + 3/4*n**3 + 0*n - 3/4*n**2.
3*n**2*(n - 1)/4
Let q(z) be the third derivative of -1/42*z**4 - 2*z**2 + 1/210*z**5 + 0*z + 0 + 1/21*z**3. Let q(s) = 0. What is s?
1
Let i(x) be the first derivative of -3*x**5/10 + x**3/2 + 5. Factor i(l).
-3*l**2*(l - 1)*(l + 1)/2
Suppose 8 = 3*q - 1. Let a(p) be the second derivative of 0*p**2 - 1/45*p**6 + 3*p + 0 - 1/30*p**5 + 0*p**q + 0*p**4. Factor a(n).
-2*n**3*(n + 1)/3
Let i = -21 - -15. Let j = -2 - i. What is l in 1/4 - 1/2*l**3 + 0*l**2 - 1/4*l**j + 1/2*l = 0?
-1, 1
Determine v, given that -4*v**2 + 11 - 5 - 6 = 0.
0
Let x = -548/3 - -183. Solve -4/3*d - 2/3*d**3 - 5/3*d**2 - x = 0.
-1, -1/2
Let b = 4 - 7/2. Let c(u) be the first derivative of -1/4*u**4 + 0*u + b*u**2 + 1/3*u**3 - 1 - 1/5*u**5. Find t, given that c(t) = 0.
-1, 0, 1
Let j(s) be the second derivative of -s**5/5 - s**4/3 + 8*s. Factor j(n).
-4*n**2*(n + 1)
Let b(v) = -v**3 - 5*v**2 - 7*v - 12. Let d be b(-4). Factor -2/5*r**2 + d*r + 2/5.
-2*(r - 1)*(r + 1)/5
Suppose -4*r - c = -17, 2*r - 4*c = 4 - 0. Let v(a) be the second derivative of -3/2*a**2 - 3/4*a**3 + 0*a**r + 0 + 4*a + 3/40*a**5. Solve v(y) = 0.
-1, 2
Let s be (1 - 2/6) + 35/(-84). Let d(v) be the second derivative of -s*v**4 - 4*v - 3/2*v**2 - v**3 + 0. Suppose d(o) = 0. Calculate o.
-1
Let u(n) be the first derivative of n**5/30 - n**3/6 + n**2/6 + 15. Solve u(h) = 0 for h.
-2, 0, 1
Let c(l) be the second derivative of l**4/24 - l**3/3 + l**2 - l. Let c(x) = 0. Calculate x.
2
Let t = -2966/11 - -270. What is d in 2/11*d**5 + 0 - 2/11*d**4 - t*d - 6/11*d**3 + 10/11*d**2 = 0?
-2, 0, 1
Let x(p) = -p - 1. Let r be x(-6). Suppose -2*h - 1 = -r. Factor 1/3*q**h - 1/3*q**4 + 1/3*q**3 - 1/3*q**5 + 0 + 0*q.
-q**2*(q - 1)*(q + 1)**2/3
Let f(p) be the third derivative of -p**5/15 + p**4/6 + 4*p**3/3 - 9*p**2. Factor f(q).
-4*(q - 2)*(q + 1)
Let v(k) be the first derivative of 392*k**3/9 + 28*k**2/3 + 2*k/3 - 1. Factor v(h).
2*(14*h + 1)**2/3
Let t(x) be the first derivative of -8*x**6 - 72*x**5/5 - 3*x**4/4 + 6*x**3 - 3*x**2/2 - 14. Find l such that t(l) = 0.
-1, 0, 1/4
Let u(t) be the first derivative of 1/5*t**6 - 2 + 1/5*t**5 - t**3 - 1/3*t**4 - 2*t - t**2 + 1/21*t**7. Let m(h) be the first derivative of u(h). Factor m(q).
2*(q - 1)*(q + 1)**4
Let d(r) = r**3 - 4*r**2 + 3*r + 3. Let v = -3 + 0. Let z(b) = -3*b**3 + 7*b**2 + b**3 - 5 + 0*b**3 - 5*b. Let m(w) = v*z(w) - 5*d(w). Solve m(o) = 0.
0, 1
Factor 0 + 1/2*a**4 - 1/2*a**3 - 1/2*a**2 + 1/2*a**5 + 0*a.
a**2*(a - 1)*(a + 1)**2/2
Find f such that 0 - 1/3*f - 1/3*f**2 = 0.
-1, 0
Let j(u) be the second derivative of 0 + 2*u**2 - 3/10*u**5 + 7*u - 7/3*u**3 + 4/3*u**4. Determine a so that j(a) = 0.
2/3, 1
Suppose 0 = 47*x - 52*x + 15. Let m(r) be the second derivative of 0 + 1/12*r**3 + x*r - 1/60*r**6 - 1/4*r**2 + 1/84*r**7 - 1/20*r**5 + 1/12*r**4. Factor m(q).
(q - 1)**3*(q + 1)**2/2
Suppose -3*q + 2 = q + 2*m, 0 = 3*q - 5*m - 8. Let l be ((-2)/1)/(q/(-1)). Determine b so that 14*b**4 + 2 + b - 3*b**5 - 14*b**3 - 3*b**4 - 3 + 6*b**l = 0.
-1/3, 1
Let n = 84850/79 - 1074. Let t = 746/869 + n. Determine w so that -20/11*w**3 - 10/11*w + t*w**4 + 2/11 + 20/11*w**2 - 2/11*w**5 = 0.
1
Let v(g) = -g**2 + 5*g + 4. Let x(j) = 2*j**2 - 16*j - 12. Let c(d) = -14*v(d) - 5*x(d). Suppose c(q) = 0. Calculate q.
-2, -1/2
Let l(b) = b**2 - b - 4. Let r be l(3). Suppose -11*q + 7*q = h - 3, -3*q - 15 = -5*h. Suppose -1/3*f**3 - 1/3*f + q - 2/3*f**r = 0. Calculate f.
-1, 0
Let j(x) = 4*x - 4*x + 4*x**2 + 7 + x. Let k(m) = -5*m**2 - 8. Let b(l) = 4*j(l) + 3*k(l). Find t such that b(t) = 0.
-2
Let w(v) be the second derivative of -v**4/12 + 2*v**3/3 + 5*v**2/2 - 18*v. Solve w(f) = 0 for f.
-1, 5
Factor 6*j**2 - 4*j + 2*j**2 - j**4 + 0*j**3 + 2*j**4 - 5*j**3.
j*(j - 2)**2*(j - 1)
Let o = -12 - -12. Let -3/4*b + o - 3/4*b**2 = 0. What is b?
-1, 0
Let j(o) be the first derivative of 1/28*o**4 - 1/35*o**5 + 0*o**2 + 0*o + 6 - 1/42*o**6 + 1/21*o**3. Let j(z) = 0. Calculate z.
-1, 0, 1
Let h = 565 + -565. Suppose 1/4*c**3 + 0*c + 1/4*c**4 + h - 1/4*c**5 - 1/4*c**2 = 0. What is c?
-1, 0, 1
Let u = -447 + 2683/6. Factor 0*k**2 - u*k**3 - 1/3 + 1/2*k.
-(k - 1)**2*(k + 2)/6
Let x(w) = w**3 + 3*w. Let o be x(3). Let a be ((-1)/3)/((-2)/o). Factor 3*u**2 - 4*u - u**2 - a + 8.
2*(u - 1)**2
Let m(j) = -2 + 4*j + 27*j**2 + 13 - 25*j**2. Let d(t) = t**2 + 2*t + 5. Let c(z) = -9*d(z) + 4*m(z). Find u such that c(u) = 0.
-1
Let q(n) = -2*n**3 + 3*n**2 - 2*n + 3. Let j be q(2). Let w be (j - 1)/(-3)*1. Factor 0*i**2 + 0*i**2 - w + 2*i**2.
2*(i - 1)*(i + 1)
Let q(d) = -5*d**3 - 5*d**2 + 3. Let v(j) = -9*j**3 - 9*j**2 + 5. Let t(y) = -5*q(y) + 3*v(y). Factor t(c).
-2*c**2*(c + 1)
Let i be ((-1)/2)/((-2)/8). Suppose 6*l**2 - i*l**2 - 3*l**3 - 2 + 3*l - 2*l = 0. What is l?
-2/3, 1
Let p(w) be the third derivative of -1/360*w**5 + w**2 + 0*w**3 + 0 + 1/144*w**4 + 0*w. Factor p(d).
-d*(d - 1)/6
Let f(u) be the third derivative of -u**8/1120 + u**6/120 - u**4/16 + u**3/2 - 3*u**2. Let s(o) be the first derivative of f(o). Let s(q) = 0. What is q?
-1, 1
Suppose 0 = 3*t - 0*v - 3*v + 12, -3*v + 12 = 3*t. Let j be 5/(1 - 0) - t. Suppose j*s**4 + 3*s - 7*s**2 - 3*s**3 + 2 + s**3 - s**3 = 0. What is s?
-1, -2/5, 1
Let o(w) be the first derivative of w**3/15 + w**2/5 + w/5 + 9. Let o(s) = 0. What is s?
-1
Let h = 91/33 - 1/11. Solve -h*k + 8/3 + 2/3*k**2 = 0.
2
Let k be 5 + -2 - (6 + -2 + -3). Let s(a) be the first derivative of 2*a**k - 2 - 2*a - 2/3*a**3. Suppose s(p) = 0. Calculate p.
1
Suppose -6*d + d = 0. Let p = 2 - d. Factor -4*n - n**2 - n**2 + p*n.
-2*n*(n + 1)
Suppose -2*w + 2 + 12 = 2*o, 0 = 2*w - 2*o - 6. Solve -5*f**2 - 1 + 10*f**3 + 4*f - w*f**2 - 5*f**4 + f + f**5 + 0*f = 0 for f.
1
Let b = -7 + 5. Let c be (2/(-1) - b) + 0. Suppose -2*k**5 + k**2 + 4*k**4 - 5*k**2 + c*k**2 + 3*k - k = 0. Calculate k.
-1, 0, 1
Let f(x) be the second derivative of -x**5/30 - x**4/9 - x**3/9 + 15*x. Factor f(n).
-2*n*(n + 1)**2/3
Let g(k) be the first derivative of -k**7/280 + k**6/60 - k**5/40 + k**3 - 5. Let z(v) be the third derivative of g(v). Determine r, given that z(r) = 0.
0, 1
Let s(x) be the third derivative of -x**9/302400 + x**7/25200 - 7*x**5/60 - 2*x**2. Let o(g) be the third derivative of s(g). Find f such that o(f) = 0.
-1, 0, 1
Let j(w) = w - 3. Let n be j(4). Let l(m) = m - 1. Let k be l(n). Solve k*g - 1/3*g**3 - 2/3*g**2 + 0 + 1/3*g**4 = 0.
-1, 0, 2
Let a(k) be the second derivative of -2*k**7/147 + 4*k**6/105 - k**5/35 + 6*k. Factor a(d).
-4*d**3*(d - 1)**2/7
Find g, given that 5*g + 4*g - 15*g**2 + 18*g**2 = 0.
-3, 0
Suppose -o = o + 20. Let t be ((-1 + -1)*1)/o. Factor -t*h + 2/5 - 2/5*h**2 + 1/5*h**3.
(h - 2)*(h - 1)*(h + 1)/5
Factor 4/3 + 26/3*k + 40/3*k**2 + 6*k**3.
2*(k + 1)**2*(9*k + 2)/3
Factor -38/9*q**2 - 14/9*q**3 - 16/9*q + 8/9.
-2*(q + 1)*(q + 2)*(7*q - 2)/9
Suppose 3*r = -2*f + 12, 3 + 6 = f + 3*r. Let s = 3 - f. Find k such that 0*k**2 - 2/3*k + 2/3*k**3 + s = 0.
-1, 0, 1
Let r(l) be the first derivative of l**3 - 6*l**2 + 12*l + 9. Factor r(g).
3*(g - 2)**2
Suppose 2*f + 5*n = 4, 4