?
0
Determine b, given that -12*b + 25*b**2 + b + 4 - 9*b = 0.
2/5
Let h(i) = -i**4 - i**3 - i**2 - i + 1. Let n(g) = -4*g**4 - 6*g**3 - 12*g**2 - 2*g + 6. Let q = -4 - 2. Let s(m) = q*h(m) + n(m). Let s(d) = 0. Calculate d.
-2, 0, 1
Factor 0 - 1/2*l**2 - 1/2*l**3 + 0*l.
-l**2*(l + 1)/2
Let y(n) be the first derivative of -2*n**3/21 + 16*n**2/7 - 128*n/7 - 18. Factor y(l).
-2*(l - 8)**2/7
Let v(o) be the third derivative of o**7/21 + o**6/8 - 5*o**5/6 - 5*o**4/2 + 20*o**3/3 - 19*o**2. Let v(q) = 0. What is q?
-2, 1/2, 2
Let l(z) be the third derivative of z**7/105 - z**6/12 + z**5/10 + 5*z**4/12 - 4*z**3/3 + 40*z**2. Factor l(g).
2*(g - 4)*(g - 1)**2*(g + 1)
Let a(f) be the third derivative of -f**4 + 0 - 7*f**2 + 1/15*f**5 + 0*f + 6*f**3. Factor a(t).
4*(t - 3)**2
Let u = 3/508 - -179/12700. Let g(a) be the second derivative of -2*a - 1/5*a**3 - u*a**5 - 1/10*a**4 + 0 - 1/5*a**2. Solve g(f) = 0 for f.
-1
Let u(p) be the third derivative of 0*p**3 + 0*p**5 - p**2 - 1/60*p**6 + 0 + 1/12*p**4 + 0*p. Determine i so that u(i) = 0.
-1, 0, 1
Let s(d) = -9*d**2 + 13*d + 1. Let f(p) = 22*p**2 - 32*p - 2. Let r(t) = -5*f(t) - 12*s(t). Factor r(w).
-2*(w - 1)**2
Let x(c) be the third derivative of -1/420*c**5 + 0 + 0*c - 1/84*c**4 - 1/42*c**3 - 3*c**2. Factor x(k).
-(k + 1)**2/7
Let j = 375 + -372. Factor 8/9 - 16/9*z + 10/9*z**j - 14/9*z**2.
2*(z - 2)*(z + 1)*(5*z - 2)/9
Let g be 30/25 + 8 + -7. What is d in 2/5*d**2 + 16/5*d**4 + 0 + g*d**3 + 0*d + 7/5*d**5 = 0?
-1, -2/7, 0
Suppose 0 - 4/5*g - 2/5*g**2 = 0. Calculate g.
-2, 0
Let x(q) = q**3 + 3*q**2 + q - 1. Let s(p) = -p**3 - 3*p**2 + 2. Let g(r) = -r + 6. Let o be g(9). Let n = o - -5. Let t(a) = n*s(a) + 3*x(a). Factor t(b).
(b + 1)**3
Find b such that 12/5*b - 12/5*b**3 - 18/5 + 2/5*b**4 + 16/5*b**2 = 0.
-1, 1, 3
Let d(j) be the third derivative of -j**5/45 - j**4/6 - 4*j**3/9 - 6*j**2. Find q, given that d(q) = 0.
-2, -1
Suppose -25*c**2 + 2*c - 4*c + 27*c**2 = 0. Calculate c.
0, 1
Let p = -11 + -72. Let b = p - -127. What is g in 51/2*g**2 + 24*g**4 - b*g**3 - 6*g + 1/2 = 0?
1/4, 1/3, 1
Let q = -33/65 + 3317/260. Let x be (2/6)/((-2)/(-24)). Determine j so that -78*j**2 + 32*j - 4 + 56*j**3 - q*j**x = 0.
2/7, 2
Let n(b) be the first derivative of -1/2*b**2 - 2 - b - 1/12*b**3. What is w in n(w) = 0?
-2
Let f(d) be the first derivative of -d**3/5 - 18*d**2/5 - 108*d/5 - 42. Determine r, given that f(r) = 0.
-6
Let n = -2351/24 - -98. Let r(h) be the second derivative of 1/40*h**5 + 1/60*h**6 + 0 + 0*h**2 - n*h**4 - 1/12*h**3 + 3*h. Factor r(t).
t*(t - 1)*(t + 1)**2/2
Let -236 - 3916*q**2 - 4022*q**2 - 15152*q**3 - 7 + 2804*q**3 - 2268*q - 7203*q**4 = 0. Calculate q.
-3/7
Let i(d) be the second derivative of -5*d**4/12 + 35*d**3/6 - 47*d. Suppose i(c) = 0. Calculate c.
0, 7
Let l(b) = b - 3. Let p be l(5). Let k(g) = -g**2 - 3*g - 2. Let z be k(-2). Solve z + s**p - 4/3*s**3 + 1/3*s = 0.
-1/4, 0, 1
Suppose 0*y = -y. Suppose -j = -2*m - 4*j + 13, 2*m - j - 9 = y. What is p in 9*p + 5*p**2 + 7*p**2 + 3 - 6*p**3 - 2*p**5 - 9*p**4 - 6*p**2 - p**m = 0?
-1, 1
Let k(n) = n**3 - 3*n**2 - 6*n + 2. Let s(d) = -d**3 + 2*d**2 + 5*d - 2. Let a(m) = 2*k(m) + 3*s(m). Find u, given that a(u) = 0.
-2, 1
Suppose 0 = 2*v + v - 12. Suppose 5*p - 3*p = v. What is f in 1/3*f**3 + 1/3 - 1/3*f - 1/3*f**p = 0?
-1, 1
Determine s so that 3/7*s**4 - 6/7*s**3 - 12/7*s**2 + 6/7*s + 9/7 = 0.
-1, 1, 3
Suppose -o - 59 = -62. Factor 0*n**2 + 1/6*n**o + 0 + 0*n.
n**3/6
Let y(q) be the third derivative of -1/45*q**5 + 0 + 0*q**6 + 0*q**3 - 1/36*q**4 + 1/504*q**8 + 0*q + 2/315*q**7 + 2*q**2. Suppose y(r) = 0. Calculate r.
-1, 0, 1
Suppose 5*w - 5 = 10. Suppose d + 2*i = 6, -2*d + 9 = 3*d + w*i. Find j such that d*j**2 - 2/3*j**4 + 4/3*j**3 - 4/3*j + 2/3 = 0.
-1, 1
Let o(s) = s - 1. Let w be o(-4). Let l = 8 + w. Factor 0*c + 9*c**2 - 6*c - 4*c**l + 2 - 1.
-(c - 1)**2*(4*c - 1)
Let i(j) be the first derivative of j**4/6 + 2*j**3/9 + 2. Factor i(z).
2*z**2*(z + 1)/3
Let v(y) be the second derivative of 1/3*y**3 + 1/20*y**5 + 0 + 6*y + 1/4*y**4 + 0*y**2. Factor v(b).
b*(b + 1)*(b + 2)
Let g be (1 - 1)*((-6)/(-9))/(-2). Let p(i) = i. Let d be p(4). Factor -2/3*z**5 + g - 4*z**3 - 8/3*z**d - 2/3*z - 8/3*z**2.
-2*z*(z + 1)**4/3
Let f = -13 - -15. Factor 1/3*u + 0 - 1/3*u**f.
-u*(u - 1)/3
Let q be (-10)/(-4) + 0 + -2. Let r = 115/492 - -2/123. Factor r*w**2 + 1/4 - q*w.
(w - 1)**2/4
Let x(m) be the first derivative of -1/16*m**4 - 1/8*m**2 + 0*m - 1/6*m**3 + 2. Factor x(a).
-a*(a + 1)**2/4
Suppose -2*f - 2*i - i = -7, 0 = -f - 3*i + 5. Suppose -3*z = 2*m + 1, 4*z + f + 2 = -4*m. What is v in -v - v - z + 2*v + v**2 = 0?
-1, 1
Let d(s) be the first derivative of -s**5/15 + 2*s**3/9 - s/3 + 5. Determine l, given that d(l) = 0.
-1, 1
Let t be (10 + -9)/(1/12). Let v = t + -10. Determine b, given that 2/5*b**5 + 0*b**3 + 4/5*b**4 - 4/5*b**v - 2/5*b + 0 = 0.
-1, 0, 1
Let r(m) = 3*m**2 + 4*m + 1. Let w(d) = 7*d**2 + 9*d + 2. Let o(j) = -9*r(j) + 4*w(j). Factor o(z).
(z - 1)*(z + 1)
Let q be 5/(-1) - (-1 - 6). Let r = 124/483 - -2/69. Factor 0*b**q + r*b**4 - 2/7 + 4/7*b**3 - 4/7*b.
2*(b - 1)*(b + 1)**3/7
Solve 14/3*s**2 - 8/3*s**3 + 2 + 28/3*s = 0.
-1, -1/4, 3
Let p(k) be the third derivative of -k**7/42 - k**6/8 - 4*k**2. Factor p(b).
-5*b**3*(b + 3)
Let t(m) = -m**5 + 10*m**4 + 4*m**3 - 4*m**2 + 4. Let i(g) = 10*g**4 + 4*g**3 - 5*g**2 + 3. Let c(y) = -4*i(y) + 3*t(y). Factor c(q).
-q**2*(q + 2)**2*(3*q - 2)
Let s(b) = -2 - 8*b + 3*b - b**2 + 12*b - 4. Let f be s(6). Determine t so that f - 1/3*t**2 + 2/3*t = 0.
0, 2
Let q(f) be the first derivative of -f**4/42 - 4*f**3/21 - 4*f**2/7 + 2*f - 1. Let z(d) be the first derivative of q(d). Factor z(l).
-2*(l + 2)**2/7
Factor -8/17*h**2 + 0 - 2/17*h**3 - 8/17*h.
-2*h*(h + 2)**2/17
Let y(n) = -n**3 - 3*n**2 - 7*n - 3. Let r(s) = 2*s**3 + 5*s**2 + 14*s + 6. Let o(m) = -2*r(m) - 5*y(m). Factor o(l).
(l + 1)**2*(l + 3)
Let i(q) be the first derivative of 2*q**3/3 + 5*q**2 + 8*q - 6. Factor i(g).
2*(g + 1)*(g + 4)
Let w(v) be the first derivative of -1/18*v**3 + 5 + 0*v + 1/6*v**2 - 1/24*v**4. Let w(l) = 0. Calculate l.
-2, 0, 1
Let a(p) be the third derivative of p**7/42 + p**6/12 - 5*p**4/12 - 5*p**3/6 - 7*p**2. Solve a(q) = 0 for q.
-1, 1
Let w = 32 + -27. What is s in -2/7 + 48/7*s**4 - 46/7*s**2 + 32/7*s**w - 18/7*s - 2*s**3 = 0?
-1, -1/4, 1
Let p = 49961/19557 + 2/2173. Let z = 26/9 - p. Suppose 2/3*u**2 + 0*u**3 - 1/3*u**4 + 0*u - z = 0. What is u?
-1, 1
Let b be 117/27 - 2/(-3). Let m(x) be the third derivative of 1/210*x**7 + 0*x**b + 0*x**4 + 0*x**3 - 1/120*x**6 + 0 + 0*x + 2*x**2. Factor m(v).
v**3*(v - 1)
Let m(t) be the third derivative of t**8/84 + 4*t**7/105 + t**6/30 + 19*t**2. Factor m(g).
4*g**3*(g + 1)**2
Let w(q) be the third derivative of -q**6/24 - q**5/3 - 25*q**4/24 - 5*q**3/3 + 24*q**2. Factor w(v).
-5*(v + 1)**2*(v + 2)
Let g be (2 - 2)/(-8 + 6). Let t(f) be the third derivative of 0*f**4 + g*f**6 + 1/945*f**7 + 0*f**3 + 0 + 0*f - f**2 - 1/270*f**5. Factor t(n).
2*n**2*(n - 1)*(n + 1)/9
Let k(b) = -b**2. Let s(z) = -15*z**4 - 5*z**3 + 35*z**2. Let g(x) = 25*k(x) + s(x). What is d in g(d) = 0?
-1, 0, 2/3
Let u(n) be the first derivative of -n**5/20 + n**4/6 - n**3/6 - 5*n - 4. Let t(a) be the first derivative of u(a). Solve t(k) = 0.
0, 1
Suppose 3*y + 5*a - 2 = 0, 3*y + 0*y - 5*a = -8. Let k = 3 - y. Determine h, given that 0*h + 2*h + 3*h**k - 2*h**3 - 2*h**2 - h**4 = 0.
-1, 0, 1
Suppose 2*c + u + 19 = 0, -5*c - 5*u = -2*c + 46. Let d = c - -11. Factor 157/4*g**2 + 99/2*g**3 + 11*g + 81/4*g**d + 1.
(g + 1)**2*(9*g + 2)**2/4
Let x(i) = -2*i + 1. Let h be x(-2). Factor -3*l**3 - h*l - 5*l**4 + 5*l + 8*l**4.
3*l**3*(l - 1)
Let m = 13 - 9. Let g be (m*1/(-2))/(-2). Solve 1/4*v**4 + 3/4*v**2 - g + v**3 - v = 0 for v.
-2, -1, 1
Suppose j = z - 0 - 1, 3*j + 4*z - 32 = 0. Suppose 4 + 8 = j*f. Factor -f*q**2 - 3 - q**3 - 3*q + 4*q - 4*q + 2.
-(q + 1)**3
Let g(v) be the first derivative of -1 + 0*v - 1/4*v**4 + 1/12*v**3 - 3/20*v**5 + 1/4*v**2. Factor g(d).
-d*(d + 1)**2*(3*d - 2)/4
Solve -22/5*y - 14/5*y**3 + 4/5 + 32/5*y**2 = 0.
2/7, 1
Let g be 0/1 + (-36)/(-54). Let b(c) be the first derivative of 0*c + 0*c**2 + 2 + g*c**3. Let b(t) = 0. Calculate t.
0
Let c(f) be the third deriv