*w**6/90 + 8*w**5/45 - w**3/9 - 24*w**2 + 2*w. Solve d(k) = 0.
-1/5, 1/2, 1
Let c be -1*3 - (4 + -9). Determine r so that 2*r**3 + 5*r - 6*r**2 + 0 - 5 - 15*r + c*r**4 + 1 = 0.
-1, 2
Let i(g) = -g**3 + 6*g**2 + 16*g + 3. Let a be i(8). Find z, given that 0 - 1/2*z**4 - z**a - 1/2*z**2 + 0*z = 0.
-1, 0
Suppose -1/7*b - 1/7*b**2 + 2/7 = 0. Calculate b.
-2, 1
Let k(l) = 3*l**2 - 1. Let p be k(-1). Find z, given that -3*z**5 - z**3 - 3*z**3 - p*z**4 + 3*z**3 + 2*z**3 = 0.
-1, 0, 1/3
Let n(f) = -f**4 - 13*f**3 + 41*f**2 - 51*f + 21. Let g(t) = t**4 - t**3 + t**2 + t - 1. Let q(c) = 6*g(c) + 2*n(c). Let q(k) = 0. What is k?
1, 3
Solve 3/2*s**5 - 3/2*s**4 - 3/2*s**3 + 3/2*s**2 + 0*s + 0 = 0 for s.
-1, 0, 1
Let f(h) be the first derivative of -36*h**5/5 + 43*h**4 - 248*h**3/3 + 40*h**2 + 32*h + 6. Find z, given that f(z) = 0.
-2/9, 1, 2
Let o(n) be the second derivative of -2*n**7/7 - 8*n**6/15 - n**5/5 + 2*n. Determine l so that o(l) = 0.
-1, -1/3, 0
Let x(d) be the first derivative of -d**3/9 + 2*d**2/9 - d/9 - 11. Find z such that x(z) = 0.
1/3, 1
Let d(g) be the second derivative of -g**7/14 + g**6/10 + 3*g**5/20 - g**4/4 + 9*g. Factor d(p).
-3*p**2*(p - 1)**2*(p + 1)
Let b(a) be the second derivative of a**4/12 - a**2/2 + 2*a. What is m in b(m) = 0?
-1, 1
Let l(z) = 4*z + 24. Let v be l(-6). Factor 0 - 2/5*p**2 + v*p**3 + 2/5*p**4 + 0*p.
2*p**2*(p - 1)*(p + 1)/5
Let v be (-8)/20*(-11 + 1). Let q be (-1 + 1)*(-3)/(-6). Solve -1/2*s**v + q + 0*s + 1/2*s**2 + 1/2*s**3 - 1/2*s**5 = 0 for s.
-1, 0, 1
Factor u**3 - 3*u**2 + u**2 - 5*u**3 + 0*u**3.
-2*u**2*(2*u + 1)
Let z(n) be the third derivative of -n**8/336 + n**7/63 - n**6/30 + n**5/30 - n**4/72 + 5*n**2. Factor z(o).
-o*(o - 1)**3*(3*o - 1)/3
Let b = -1/71 - -1067/142. Suppose -b*h**4 - 21/2*h**3 - 3/2*h**5 + 12*h + 6 + 3/2*h**2 = 0. Calculate h.
-2, -1, 1
Let b be 3*(-2)/(-2) + (-13 - -12). Solve 2*g + 10/7*g**b + 4/7 = 0.
-1, -2/5
Let l(r) be the third derivative of r**5/270 + r**4/54 - 15*r**2. Find n, given that l(n) = 0.
-2, 0
Let q be 78/130 - 1/(-15). Factor 0 - q*z + 2/3*z**2.
2*z*(z - 1)/3
Factor -4/7 + 6/7*c**2 + 2/7*c.
2*(c + 1)*(3*c - 2)/7
Let l(g) be the second derivative of g**4/3 - 4*g**3 + 18*g**2 + 4*g. Suppose l(o) = 0. Calculate o.
3
Let t be 30/40 + 3/(-20). Factor 0*s - t*s**5 + 0*s**2 - 2/5*s**4 + 0 + 1/5*s**3.
-s**3*(s + 1)*(3*s - 1)/5
Determine a so that 3 - 10*a**3 + 2*a**4 + 5*a**5 + 5*a + 3 + 1 - 4*a**2 - 5 = 0.
-1, -2/5, 1
Let t = -4 - -6. Suppose 0 = k + t*k. Factor 1/2*m**2 + k - 1/2*m.
m*(m - 1)/2
Factor 10/7*x**3 + 2*x + 2/7*x**4 + 18/7*x**2 + 4/7.
2*(x + 1)**3*(x + 2)/7
Let k(y) be the first derivative of 4*y**6/3 - 4*y**5/5 - 2*y**4 + 4*y**3/3 + 4. Find r, given that k(r) = 0.
-1, 0, 1/2, 1
Let n(r) = r**3 - 5*r**2 - 5*r - 4. Let y be n(6). Factor 4*u + 8*u + 8*u**2 + 28*u**y + 15*u**3.
3*u*(u + 2)*(5*u + 2)
Let j(p) = -10*p**2 + 7*p - 7. Let n(h) = 7*h**2 - 5*h + 5. Let f(k) = -5*j(k) - 7*n(k). Factor f(x).
x**2
Let o(b) = -2*b**2 - 12*b - 6. Let j(c) = -c**2 - 13*c - 7. Let f(l) = -l + 5. Let u be f(0). Let m(a) = u*o(a) - 4*j(a). Factor m(w).
-2*(w + 1)*(3*w + 1)
Let i(x) be the first derivative of 1/15*x**6 + 1 + 3/5*x**4 + 1/5*x**2 + 8/25*x**5 + 8/15*x**3 + 0*x. Find k, given that i(k) = 0.
-1, 0
Let l(s) be the second derivative of -3*s + 0*s**4 + 0*s**2 + 0*s**3 + 1/90*s**5 + 0. Factor l(m).
2*m**3/9
Let c(m) be the second derivative of 5*m**4/12 - 5*m**3/2 + 12*m. What is n in c(n) = 0?
0, 3
Let d(r) be the third derivative of -2*r**7/45 - r**6/72 + r**5/60 - r**2. Let d(w) = 0. Calculate w.
-3/7, 0, 1/4
Let f(z) be the third derivative of -z**5/150 - z**4/15 - 4*z**3/15 - 3*z**2. Factor f(n).
-2*(n + 2)**2/5
Let l(y) = y + 11. Let p be l(-11). Let a(z) be the third derivative of 0*z + p*z**5 + 0 - 1/180*z**6 + 0*z**3 + 3*z**2 + 1/36*z**4. Let a(i) = 0. Calculate i.
-1, 0, 1
Let y(a) be the first derivative of a + 6 + 1/12*a**3 - 1/2*a**2. Factor y(n).
(n - 2)**2/4
Let z(l) = -l**2 - 5*l + 3. Let v be z(-5). Let h = -1 + v. Suppose 0 - 1/5*u + 1/5*u**h = 0. What is u?
0, 1
Let x = 47/840 - 1/168. Let a(j) be the third derivative of -1/24*j**6 + 0*j + 0 - 2*j**2 + 0*j**3 + 1/12*j**4 - x*j**5. What is p in a(p) = 0?
-1, 0, 2/5
Let s be 245/77 - 2/11. Factor -44*p**2 - 27*p**2 + 6*p**s + 2*p - 2 + 81*p**2.
2*(p + 1)**2*(3*p - 1)
Let p = 6 + -4. Factor 0*q + q**2 - 2*q + 4 + 0*q**p + 6*q.
(q + 2)**2
Find h such that -18*h**2 + 60*h**3 + 1 + 68*h**2 - 56 + 242*h - 302*h + 5*h**4 = 0.
-11, -1, 1
Let c = -96 - -101. Let y(o) be the second derivative of 0*o**2 + 0*o**4 + 1/24*o**3 + 2*o - 1/80*o**c + 0. Factor y(p).
-p*(p - 1)*(p + 1)/4
Let a be (-4)/(-2)*(-2 - -1). Let r = 13/5 + a. Suppose 0 - g**2 + 2/5*g + r*g**3 = 0. Calculate g.
0, 2/3, 1
Let s(m) be the second derivative of -2*m**5/5 - m**4 - 2*m**3/3 - 18*m. Factor s(g).
-4*g*(g + 1)*(2*g + 1)
Let n(s) = s**2 - s. Let m(b) = 27*b**2 + 3 + 3*b**2 + 4*b**2 + 33*b + 32*b**2 + 48*b**3. Let d(z) = m(z) + 6*n(z). Solve d(r) = 0 for r.
-1, -1/4
Let x(a) be the first derivative of 3*a**5/5 - 3*a**4/4 - a**3 + 3*a**2/2 + 25. Factor x(f).
3*f*(f - 1)**2*(f + 1)
Let m(p) = -p**3 - 8*p**2 + 10*p + 11. Let g be m(-9). Factor -i**g + i + 2*i + 0*i - 2*i.
-i*(i - 1)
Let n be (-50)/(-156) + (-26)/156. Solve -n*x**2 + 0 + 2/13*x = 0.
0, 1
Suppose -3 = 3*n - 4*n. Let f(s) = s**2 + 9*s - 6. Let q be f(-10). Solve 2*d**3 - 1 - 4*d - d**q - d**3 - 6*d**2 - 5*d**n = 0.
-1
Let i(q) = q - 1. Let v(b) = -2*b**2 + b + 1. Let x(c) = c**2 - 4*c - 6. Let o be x(5). Let d(t) = o*v(t) - 3*i(t). What is g in d(g) = 0?
1
Let q(k) be the first derivative of 8*k**6/15 + 56*k**5/25 + 19*k**4/5 + 10*k**3/3 + 8*k**2/5 + 2*k/5 + 20. Let q(y) = 0. Calculate y.
-1, -1/2
Let j(y) be the second derivative of y**8/336 + y**7/105 - y**5/30 - y**4/24 + 3*y**2 - 4*y. Let w(l) be the first derivative of j(l). Factor w(u).
u*(u - 1)*(u + 1)**3
Suppose 0*t + 5*x + 13 = -3*t, -x + 3 = 2*t. Factor -2 - t*d + 7 + 0 - 3 + 2*d**2.
2*(d - 1)**2
Suppose 3*o**2 + 3*o**3 + 6*o**4 - 7*o**4 - 5*o**2 = 0. Calculate o.
0, 1, 2
Let y(w) be the first derivative of -w**6/6 - w**5/5 + w**4/4 + w**3/3 - 24. Solve y(o) = 0.
-1, 0, 1
Let z(i) be the third derivative of -2*i**7/35 - 7*i**6/40 + i**5/10 + 2*i**2. Determine m so that z(m) = 0.
-2, 0, 1/4
Let f(v) be the second derivative of v**6/240 + v**5/40 + v**4/48 - v**3/12 - 3*v**2/16 - 11*v. Solve f(k) = 0 for k.
-3, -1, 1
Suppose -4*x = -2*x - 8. Factor 3*o + o**2 + 5 - x - 4*o - o.
(o - 1)**2
Let a(c) be the first derivative of -2*c**3/9 + 2*c**2/3 - 2*c/3 - 7. Determine m, given that a(m) = 0.
1
Suppose -20*l = -25*l + 10. Factor -3/4*w**l - 3*w - 9/4.
-3*(w + 1)*(w + 3)/4
Let g(c) = 14*c - 249. Let a be g(18). Factor 0*n - 2/7*n**a - 2/7*n**5 + 0*n**2 + 4/7*n**4 + 0.
-2*n**3*(n - 1)**2/7
Let w be 30/8 + 1/4. Suppose -w*a = -7*a + 6. Factor o - 2*o + o**a + 4 + 5*o.
(o + 2)**2
Let d be 10/(-25) + 44/10. What is r in r**4 + 3*r**d - 2*r**4 = 0?
0
Let w(a) = -4*a**4 - 9*a**3 + 4*a**2 - a + 5. Let z(m) = -2*m**4 - 4*m**3 + 2*m**2 + 2. Let k(f) = 4*w(f) - 10*z(f). Suppose k(q) = 0. What is q?
-1, 0, 1
Let p(i) be the first derivative of -i**5/2 + 15*i**4/4 - 10*i**3 + 25*i**2/2 - 15*i/2 - 12. Find x, given that p(x) = 0.
1, 3
Suppose 3*o**2 + 5/3*o - 1/3*o**4 + 0 + o**3 = 0. What is o?
-1, 0, 5
Let m be 7/((-7)/(-2)) + 0. Factor -8 - 4*i + 8*i**m - 4 + 12 - 4*i**3.
-4*i*(i - 1)**2
Let a(l) = l**3 - 4*l**2 - 3*l - 7. Let q be a(5). Suppose 0*j**2 + 1 + j**q + j**2 - 1 = 0. What is j?
-1, 0
Let s be (-2 + (3 - 3))/(-794). Let g = s + 3173/1191. Suppose 44/3*d - 25/3*d**4 + 5/3*d**3 + g + 22*d**2 = 0. What is d?
-1, -2/5, 2
Let a(j) be the third derivative of -j**7/840 + j**5/120 + 5*j**3/6 + 3*j**2. Let t(p) be the first derivative of a(p). What is m in t(m) = 0?
-1, 0, 1
What is p in 0 + 16/3*p**2 - 16/3*p**3 + 0*p + 4/3*p**4 = 0?
0, 2
Suppose -2*d - 3 = 3. Let a be 1*1*(-1)/d. Factor a*t**2 + 2/3 - t.
(t - 2)*(t - 1)/3
Let l(o) be the third derivative of -o**7/140 - 3*o**6/80 - o**5/40 + 3*o**4/16 + o**3/2 - 16*o**2. Determine h so that l(h) = 0.
-2, -1, 1
Suppose -45*b + 1 + 0*b**3 + 9 - 15*b**3 + 0*b**3 + 50*b**2 = 0. What is b?
1/3, 1, 2
Suppose -23 = 5*g - 3*g + 5*b, -2*b = 4*g + 6. Let j = g + -1. Factor t**2 + 