*c**6. Find x, given that w(x) = 0.
-1, 0, 1
Suppose 0 = 3*c + 39 + 51. Let m be ((-40)/c)/(4/6). Solve 4/9 + 10/9*b - 2/3*b**m = 0 for b.
-1/3, 2
Let o(z) be the first derivative of -z**2 - 10*z + 2. Let l be o(-7). Let 0*b**3 + 0*b**3 + 2*b**2 + 2*b**l - 4*b**3 = 0. What is b?
0, 1
Let m be 2/10*(-3 - -3). Let 1/4*u**2 + m - 3/4*u = 0. What is u?
0, 3
Let d(s) be the second derivative of s + 1/2*s**3 - 1/20*s**5 + 0 + s**2 + 0*s**4. Let d(m) = 0. What is m?
-1, 2
Let x(u) be the second derivative of -2/3*u**3 + 5*u - u**2 - 1/6*u**4 + 0. Determine w, given that x(w) = 0.
-1
Let u(k) = 9*k**3 + 60*k**2 + 9*k. Let s(j) be the third derivative of -j**6/120 - j**5/10 - j**4/24 + j**2. Let c(g) = 21*s(g) + 2*u(g). Factor c(n).
-3*n*(n + 1)**2
Let l = 391/8 - 97/2. Let z(i) be the first derivative of -3/16*i**4 + l*i**2 + 3/4*i + 2 - 1/4*i**3. Solve z(f) = 0 for f.
-1, 1
Let d(j) = 15*j - 118. Let z be d(8). Find f such that 0 - 2/11*f + 2/11*f**z = 0.
0, 1
Factor 117*f + 111*f - 3*f**2 - 231*f.
-3*f*(f + 1)
Let n(v) be the second derivative of v**6/90 - v**5/30 + v**4/36 - 2*v. Let n(d) = 0. What is d?
0, 1
Let b(x) be the third derivative of x**7/1680 - x**5/240 - x**3/3 + 3*x**2. Let w(j) be the first derivative of b(j). Factor w(p).
p*(p - 1)*(p + 1)/2
Suppose 6/5 - 3/5*t**2 + 3/5*t = 0. Calculate t.
-1, 2
Let u be 3 + (-2787)/(6 - 3). Let n = 2818/3 + u. Factor -20*a**3 - 74/3*a**2 - 6*a**4 - n*a - 8/3.
-2*(a + 1)**2*(3*a + 2)**2/3
Let y(w) be the third derivative of 0*w - w**2 + 1/60*w**5 + 1/24*w**4 - 1/3*w**3 + 0. Factor y(v).
(v - 1)*(v + 2)
Let k(u) be the second derivative of -7*u**6/30 + 9*u**5/20 - u**4/6 + 5*u. Factor k(b).
-b**2*(b - 1)*(7*b - 2)
Let d be ((4/3 - -1) + -2)*6. Factor 2/7*b**3 - 2/7*b**d + 0 + 0*b.
2*b**2*(b - 1)/7
Let h(q) be the second derivative of -q**4/78 - 5*q**3/39 + 6*q**2/13 + 4*q. Factor h(d).
-2*(d - 1)*(d + 6)/13
Let d(i) = -i**2 + 8*i + 10. Let v be d(8). Suppose 4*f - b = v, -b + 5*b - 11 = -f. Factor 0*o**f + 6*o**2 - o - 4*o**3 - 3*o + 2*o**3.
-2*o*(o - 2)*(o - 1)
Let b(k) = k**3 - 7*k**2 - 9*k + 10. Let d be b(8). Factor -9*y**4 + y**3 - 3*y**5 - 7*y**3 - 3*y**3 - y**2 - d*y**2.
-3*y**2*(y + 1)**3
Factor 0*u + 2/5*u**4 + 0 - 4/5*u**2 + 2/5*u**3.
2*u**2*(u - 1)*(u + 2)/5
Let n be 2/((-8)/(-4)*1). Let o(g) be the first derivative of n - 1/3*g**3 + g + 0*g**2. Suppose o(i) = 0. Calculate i.
-1, 1
Let y(x) = 9*x**2 - x + 9 - 2 - 2*x**2 - 14 + x**3. Let u be y(-7). Factor 0*o**2 - 1/4*o**4 + 0 - 1/2*o**3 + u*o.
-o**3*(o + 2)/4
Solve -120 - a**2 + 70 - 32*a - 206 = 0 for a.
-16
Suppose -7*y + 2*y + 16 = -2*x, -y = -2*x. Find a such that -4/5*a - 4/5 - 1/5*a**x = 0.
-2
Factor 0*r**2 + 1/7*r**5 + 1/7*r**4 + 0 + 0*r - 2/7*r**3.
r**3*(r - 1)*(r + 2)/7
Let n(x) be the second derivative of -7/30*x**6 - 14/3*x**3 + 1/2*x**4 + 0 - x - 4*x**2 + 19/20*x**5. Solve n(m) = 0 for m.
-1, -2/7, 2
Let b = -79 - -125. Factor -7*h**2 - 7*h**4 + 26*h + b*h**3 - 7*h**4 - 47*h**2 + 0 - 4.
-2*(h - 1)**3*(7*h - 2)
Let f = 143 - 143. Find g, given that 2/9*g + f - 2/9*g**5 + 4/9*g**2 - 4/9*g**4 + 0*g**3 = 0.
-1, 0, 1
Let q(j) be the second derivative of j**4/24 - j**3/4 + 10*j. Solve q(m) = 0.
0, 3
Let q(r) be the first derivative of -1/8*r**6 + 2 + 0*r - 3/4*r**4 - 1/3*r**3 - 11/20*r**5 + 0*r**2. Suppose q(t) = 0. What is t?
-2, -1, -2/3, 0
Factor -7*c**4 + 5 - 6*c**2 - 3*c**4 + c**3 + 3 + 11*c**4 - 4*c.
(c - 2)*(c - 1)*(c + 2)**2
Let t(y) = y**2 - y + 1. Let w(h) = 21*h**2 + 36*h + 24. Let n(s) = -9*t(s) + w(s). Let a(x) = -3*x**2 - 11*x - 4. Let f(g) = 9*a(g) + 2*n(g). Solve f(j) = 0.
-2, -1
Let h be ((-15)/(-8))/(-3)*28/(-140). Let o(n) be the first derivative of 2 + 0*n**3 - h*n**4 + 1/4*n**5 + 0*n**2 + 0*n. Suppose o(x) = 0. What is x?
0, 2/5
Let s(b) be the third derivative of 0*b**5 - 1/120*b**6 + 0*b**4 - 1/672*b**8 + 0*b - 3*b**2 + 0*b**3 + 0 - 1/140*b**7. Determine f, given that s(f) = 0.
-2, -1, 0
Suppose -2*b - v = -5 + 2, v = -1. Let u be -1 + (32/14 - 1). Factor 0 + u*a**b + 2/7*a.
2*a*(a + 1)/7
Let s(o) be the first derivative of o**6/42 - 2*o**5/35 + o**4/28 + 12. Let s(c) = 0. What is c?
0, 1
Let n = 15/34 - -1/17. What is z in -1/2*z**2 + z - n = 0?
1
Let y(k) be the second derivative of k**6/45 + k**5/30 - k**4/6 - k**3/9 + 2*k**2/3 + 14*k. What is m in y(m) = 0?
-2, -1, 1
Suppose -3*c + 3 = 0, 3*n + 2*c - 18 = -n. Solve -4*g + g**2 + n*g + g**3 = 0.
-1, 0
Let i(x) be the third derivative of -x**5/30 - x**4/6 - x**3/2 + 3*x**2. Let s(y) = -y**2 - 3*y - 2. Let h(r) = 2*i(r) - 3*s(r). What is c in h(c) = 0?
0, 1
Let i(k) = k**3 + 2*k**2 - k. Let q(m) = 3*m - 3*m**3 + 0*m**3 - 3 - 5*m**2 + 3. Let c(s) = 5*i(s) + 2*q(s). Factor c(j).
-j*(j - 1)*(j + 1)
Factor 3/4*g**4 - 3/4 + 0*g**2 - 3/2*g + 3/2*g**3.
3*(g - 1)*(g + 1)**3/4
Factor -3/5*d + 2/5*d**2 + 0 + 1/5*d**3.
d*(d - 1)*(d + 3)/5
Let j(x) be the third derivative of x**7/210 - x**6/30 + x**5/30 + x**4/6 - x**3/2 + 9*x**2. Let j(o) = 0. What is o?
-1, 1, 3
Let a(m) = -m. Let u(b) = 3*b + 3. Let g(c) = 6*a(c) - 3*u(c). Let v(r) = -r**2 - 15*r - 10. Let x(k) = -2*g(k) + 3*v(k). Factor x(s).
-3*(s + 1)*(s + 4)
Let h(w) = w**2 - 19*w - 3. Let t be h(14). Let b = t - -443/6. Factor -1/3*y**3 - b*y**2 + 0 - 1/3*y.
-y*(y + 2)*(2*y + 1)/6
Let z(q) be the second derivative of q**4/120 + q**3/12 + 11*q. Factor z(u).
u*(u + 5)/10
Suppose -3 - 1 = -2*t. Suppose -i**2 + 6*i**t - 2*i**2 = 0. Calculate i.
0
Let c = 8 + -6. Factor 0*u**2 + u**2 + 0*u**2 + 0*u**c + u**3.
u**2*(u + 1)
Let l(z) be the first derivative of -3*z**5/5 + 3*z**4/4 + 15*z**3 + 69*z**2/2 + 30*z - 42. Solve l(s) = 0 for s.
-2, -1, 5
Let k = 247/7 + -35. Determine r, given that -2/7*r**4 + 0 + 0*r + k*r**2 - 2/7*r**3 + 2/7*r**5 = 0.
-1, 0, 1
Let k(u) be the first derivative of -10*u**3/21 + 4*u**2/7 + 2*u/7 - 9. Factor k(l).
-2*(l - 1)*(5*l + 1)/7
Let b(k) = k**3 + 50*k**2 - 100*k - 5. Let f(y) = y**3 + 26*y**2 - 50*y - 3. Let l(a) = 3*b(a) - 5*f(a). Suppose l(p) = 0. What is p?
0, 5
Factor -6*p - 11/2*p**2 - 2 - 3/2*p**3.
-(p + 1)*(p + 2)*(3*p + 2)/2
Factor 1/4*c + 0 - 2*c**3 - 1/2*c**2.
-c*(2*c + 1)*(4*c - 1)/4
Suppose -r - 103 = -3*v, 2*r + 169 - 35 = 4*v. Let s be (1/(-3))/((-2)/v). Factor 0 + 1 + 1 + s*b + 4*b**2.
2*(b + 1)*(2*b + 1)
Factor -58/13*h - 20/13 + 6/13*h**2.
2*(h - 10)*(3*h + 1)/13
Let o(b) be the third derivative of b**8/672 + b**7/84 + b**6/40 - b**5/60 - 7*b**4/48 - b**3/4 - 37*b**2. Let o(g) = 0. Calculate g.
-3, -1, 1
Suppose -3*g + 2*b = -2*g - 4, -12 = -3*g + 5*b. Solve 4*y**g + 13*y**5 + 30*y**2 - 9*y + 11*y**4 - 6*y + 3 - 16*y**5 - 30*y**3 = 0.
1
Let c(v) be the first derivative of -2*v + 0*v + 6*v**2 - v - 5*v**3 + 2*v**3 + 3. Factor c(u).
-3*(u - 1)*(3*u - 1)
Let u be -1 + (-4)/(4/(-3)). Let y(v) be the third derivative of -v**u + 1/240*v**5 + 0*v + 0*v**4 + 0 - 1/24*v**3. Factor y(p).
(p - 1)*(p + 1)/4
Let q = 13 - 10. Determine v so that 2*v**3 - 9*v + v**q + 6*v = 0.
-1, 0, 1
Let m(s) be the second derivative of s**6/30 - s**4/4 - s**3/3 - 2*s. Factor m(b).
b*(b - 2)*(b + 1)**2
Let x be -4*(-2)/(-72)*-2. Determine n so that -x*n + 4/9*n**2 + 2/9*n**3 - 4/9 = 0.
-2, -1, 1
Suppose 0*z = -3*z + 15. Let w(x) be the second derivative of 0 + 0*x**4 + 0*x**6 + 0*x**2 + 1/10*x**z - 1/21*x**7 + 0*x**3 - 2*x. Let w(k) = 0. What is k?
-1, 0, 1
Suppose -2*r - 9 = 5*k + 11, -2*r + 2*k + 8 = 0. Let l(v) be the second derivative of -v + 1/18*v**4 + 0*v**2 - 1/18*v**3 + r - 1/60*v**5. Solve l(c) = 0 for c.
0, 1
Let w(j) be the third derivative of j**7/210 + j**6/30 + j**5/20 - j**4/6 - 2*j**3/3 + 3*j**2. Factor w(o).
(o - 1)*(o + 1)*(o + 2)**2
Let c(s) be the second derivative of -s**4/54 + s**2/9 + 30*s. Factor c(p).
-2*(p - 1)*(p + 1)/9
Factor 0*m**3 + 4/5*m + 0 + 2/5*m**4 - 6/5*m**2.
2*m*(m - 1)**2*(m + 2)/5
Let y(p) be the third derivative of -p**9/30240 + p**5/10 - 3*p**2. Let v(m) be the third derivative of y(m). Factor v(u).
-2*u**3
Let p(s) be the first derivative of 0*s**2 - 1/10*s**6 - 7 + 0*s**4 + 0*s**3 - 3/25*s**5 + 0*s. Find m, given that p(m) = 0.
-1, 0
Let h(y) be the first derivative of 9/8*y**4 + 4*y**3 - 1 + 3*y + 21/4*y**2. Factor h(b).
3*(b + 1)**2*(3*b + 2)/2
Let l be (4/5)/((-65)/25 - -3). Let h(t) be the second derivative of 0 + 0*t**l + 0*t**3 - 1/70*t**5 - 1/42*t