olve j(z) = 0 for z.
0
Suppose 1 - u**3 + 4*u**3 + 3*u**4 - 1 = 0. Calculate u.
-1, 0
Find j such that -57*j**2 + 14*j**2 + 22*j**2 + 3*j + 22*j**2 = 0.
-3, 0
Let h(c) be the third derivative of c**7/840 + c**6/120 - c**5/240 - c**4/24 - 14*c**2. Determine m, given that h(m) = 0.
-4, -1, 0, 1
Let b(d) be the second derivative of 2/3*d**3 + 3*d**2 + 3*d + 1/18*d**4 + 0. Factor b(f).
2*(f + 3)**2/3
Let g(v) = 10*v**5 + 15*v**4 - 5*v**3 - 15*v**2 - 15*v + 5. Let d(y) = 5*y**5 + 7*y**4 - 3*y**3 - 7*y**2 - 8*y + 3. Let p(k) = 5*d(k) - 3*g(k). Factor p(z).
-5*z*(z - 1)*(z + 1)**3
Factor 6*a**3 - 55*a**2 + 26*a**2 + 39*a**2 - 2*a**5 + 4*a - 2*a**4 + 0*a**5.
-2*a*(a - 2)*(a + 1)**3
Factor -3/4*t**2 + 9/2*t - 6.
-3*(t - 4)*(t - 2)/4
Let -6*l - 2 + l**2 + 3*l + 4*l = 0. What is l?
-2, 1
Let t be 4/6 - 35/(-15). Factor -5*c + 4 + 2*c**2 + t*c - 3*c - c.
2*(c - 2)*(c - 1)
Let x = 54/923 + 390218/19383. Let a = x - 132/7. Factor 0*j - 2/3*j**4 - 2/3*j**2 + 0 - a*j**3.
-2*j**2*(j + 1)**2/3
Let d(q) be the first derivative of -q**6/15 + q**4/6 - 3*q - 3. Let t(j) be the first derivative of d(j). Let t(o) = 0. Calculate o.
-1, 0, 1
Let u(x) be the first derivative of x**7/21 - x**6/15 - x - 6. Let h(q) be the first derivative of u(q). Factor h(m).
2*m**4*(m - 1)
Find w, given that 2*w**2 + 15*w**2 - 5*w**2 + 4*w**4 + 4*w + 12*w**3 = 0.
-1, 0
Let f(y) = -y**3 + 4*y**2 - 4*y - 1. Let c be f(3). Let u be c/(16/(-1)) + 5. Solve 27/4*w**3 + 3/4 + 45/4*w**2 + u*w = 0.
-1, -1/3
Suppose 9*y - 46 = -14*y. Find d such that -2/5*d + 0 - 1/5*d**y = 0.
-2, 0
Suppose 0 = -5*k + 30 + 240. Let n be 4/k*3*6. Factor n + 2/3*x**2 + 2*x.
2*(x + 1)*(x + 2)/3
Factor 2/3 + 1/3*y**2 + y.
(y + 1)*(y + 2)/3
Suppose -9*g - 3 + 21 = 0. Factor 0 - 1/2*t**3 + 0*t - t**g.
-t**2*(t + 2)/2
Let d(z) = -z**2 - 6*z + 5. Let g be d(-6). Factor -7*m + 2*m + g*m + 2*m**5 - 2*m**2 + 6*m**3 - 6*m**4.
2*m**2*(m - 1)**3
Let a = 4991/5 - 998. Factor -8/5*w + 16/5 + a*w**2.
(w - 4)**2/5
Let a = 2 - 10. Let b = a + 13. Factor 4*u**3 + 2*u**5 - 2*u + u**5 - b*u**5.
-2*u*(u - 1)**2*(u + 1)**2
Let f(s) be the third derivative of s**10/75600 + s**9/15120 + s**8/10080 + s**5/30 - s**2. Let l(d) be the third derivative of f(d). Factor l(n).
2*n**2*(n + 1)**2
Let x(b) be the third derivative of 5*b**8/336 + b**7/21 - b**6/12 - 2*b**5/3 - 35*b**4/24 - 5*b**3/3 + 16*b**2. Suppose x(l) = 0. Calculate l.
-1, 2
Let a(b) be the second derivative of b**8/1680 - b**6/180 + b**4/24 - b**3/2 + 2*b. Let m(j) be the second derivative of a(j). Solve m(s) = 0.
-1, 1
Let k(g) be the second derivative of g + 1/6*g**4 + 0 - g**2 + 1/10*g**5 - 1/3*g**3. Suppose k(x) = 0. What is x?
-1, 1
Factor -2/5*m + 2/5 + 2/5*m**3 - 2/5*m**2.
2*(m - 1)**2*(m + 1)/5
Let k(b) be the second derivative of -b**4/12 + 4*b**3/3 - 8*b**2 + 6*b. Let k(f) = 0. Calculate f.
4
Let x(a) be the third derivative of 1/12*a**4 + 0*a**3 + 1/5*a**5 + 3/20*a**6 - a**2 + 0*a + 0. Solve x(k) = 0 for k.
-1/3, 0
Determine m so that 1/2*m + 0 - 1/4*m**2 = 0.
0, 2
Let s(g) be the second derivative of -g**6/180 - g**5/40 + g**3/9 - 3*g. Factor s(j).
-j*(j - 1)*(j + 2)**2/6
Factor -3 - 4 - d**2 + 11 + 3*d - 6.
-(d - 2)*(d - 1)
Factor -2/9*t + 1/9*t**2 - 8/9.
(t - 4)*(t + 2)/9
Let z(o) = -o + 8. Let l be z(4). Factor -4*f + 8*f**4 + 0*f**2 - 10*f**4 + 0*f**4 + l*f**3 + 2*f**2.
-2*f*(f - 2)*(f - 1)*(f + 1)
Determine r so that 2*r**4 - 8/7*r - 46/7*r**3 + 0 + 40/7*r**2 = 0.
0, 2/7, 1, 2
Let a = -10521/67 + 157. Let m = a + 75/268. Factor m*p**2 - 1/4 + 0*p.
(p - 1)*(p + 1)/4
Determine a, given that -15*a**4 + 0 - 72/5*a**2 - 12/5*a - 27*a**3 = 0.
-1, -2/5, 0
Suppose 3 = c + 1. Determine p so that -5*p**2 + 7*p**2 - 3*p**c + 2*p = 0.
0, 2
Let h = 1/69 - -6/115. Let f(i) be the first derivative of 0*i + 0*i**3 - h*i**5 + 2 - 1/12*i**4 + 0*i**2. Let f(m) = 0. What is m?
-1, 0
Let r(w) be the third derivative of -w**7/105 - w**6/30 + 7*w**5/30 - w**4/3 + 7*w**2. Suppose r(x) = 0. Calculate x.
-4, 0, 1
Determine b, given that 8*b**4 + 3*b**5 + 45*b - 45*b - 31*b**5 = 0.
0, 2/7
Determine h so that 0*h - h**3 - 1/3*h**5 - 1/3*h**2 + 0 - h**4 = 0.
-1, 0
Suppose -a = -6*a + 20. Find b, given that b**4 - 5*b**4 - 3 + 4*b**3 + 2*b**a + 5 - 4*b = 0.
-1, 1
Let c(d) be the first derivative of -d**3/6 - 4*d**2 - 32*d - 3. Factor c(w).
-(w + 8)**2/2
Let c(v) be the second derivative of -1/6*v**3 + v - v**2 + 1/3*v**4 - 1/42*v**7 + 1/10*v**5 + 0 - 1/15*v**6. Factor c(s).
-(s - 1)**2*(s + 1)**2*(s + 2)
Let b(g) be the second derivative of 4*g + 0 - 4*g**3 + 1/10*g**6 - 3/4*g**4 + 3/10*g**5 - 6*g**2. Suppose b(c) = 0. Calculate c.
-2, -1, 2
What is i in -7*i**2 + 2 - 16*i - 3 - 11 + 3*i**2 = 0?
-3, -1
Let r(q) be the first derivative of -2*q**2 - 2*q + 3 - 2/3*q**3. Factor r(p).
-2*(p + 1)**2
Suppose 4*w - 1 - 11 = 0. Let g = w + 0. Solve 2*x**2 - 2/3*x**g + 2/3 - 2*x = 0 for x.
1
Find b, given that b**2 + 20*b**3 + 10 - 4*b**4 - 4*b**5 + 6 + 3*b**2 + 2*b - 34*b = 0.
-2, 1
Let g(v) = 4*v**4 - 8*v**3 - 2*v**2 + 10*v - 4. Let m(n) = -8*n**4 + 16*n**3 + 5*n**2 - 21*n + 8. Let y(b) = 5*g(b) + 2*m(b). Factor y(r).
4*(r - 1)**3*(r + 1)
Let t(p) be the third derivative of -p**7/3150 - p**6/720 - p**5/600 + p**4/8 - 4*p**2. Let u(b) be the second derivative of t(b). Factor u(y).
-(y + 1)*(4*y + 1)/5
Let j(o) be the third derivative of -o**5/36 - 5*o**4/72 - 13*o**2. Factor j(y).
-5*y*(y + 1)/3
Let c(i) be the second derivative of -3*i**5/4 + 13*i**4/4 - 2*i**3 - 6*i**2 + i. Suppose c(k) = 0. Calculate k.
-2/5, 1, 2
Suppose 116 + 36 = 2*m. Suppose -3*z + m = z. Suppose 13*r**3 + 37*r**3 - 32*r**4 + z*r - 2 + 30*r**3 - 66*r**2 + r = 0. What is r?
1/4, 1
Let j(g) be the third derivative of -g**6/360 - g**5/120 - g**3/3 - 2*g**2. Let b(d) be the first derivative of j(d). Determine u, given that b(u) = 0.
-1, 0
Let o be 0 - (18/3)/(-3). Let k(j) = -j**5 + 1. Let p(n) = 7*n + 3*n**5 - 6*n**2 + 8*n**4 - 4 - 4*n**5 + 2*n**3 - 6*n**3. Let a(i) = o*k(i) + p(i). Factor a(c).
-(c - 1)**3*(c + 1)*(3*c - 2)
Let r be ((-27)/45)/(4/(-80)*6). Factor 0 - 4/17*o**r - 2/17*o - 2/17*o**3.
-2*o*(o + 1)**2/17
Let j(p) be the third derivative of -p**8/40320 - p**7/3360 + p**6/360 + 2*p**5/15 + 4*p**2. Let s(q) be the third derivative of j(q). Factor s(r).
-(r - 1)*(r + 4)/2
Let k(n) be the first derivative of n**6/30 - 4*n**5/25 + n**4/5 - 16. Solve k(d) = 0 for d.
0, 2
Suppose 0*c = -3*c + 6. What is v in c*v**2 - 7*v**2 - v + 0*v**2 + 0*v = 0?
-1/5, 0
Let a = 947 - 79547/84. Let f(m) be the third derivative of -a*m**4 + 4*m**2 + 0 + 0*m + 1/70*m**5 - 2/21*m**3. Factor f(d).
2*(d - 1)*(3*d + 2)/7
Suppose 0 = 5*q + 6*q - 6*q. Factor 0*n + 1/5*n**2 + q - 1/5*n**4 + 0*n**3.
-n**2*(n - 1)*(n + 1)/5
Solve 1/5*d**2 + 1/5*d**5 + 0 - 1/5*d**3 - 1/5*d**4 + 0*d = 0.
-1, 0, 1
Let t = -871/3 + 295. Factor t*v**4 - 32/3 + 2/3*v**5 + 32/3*v**3 - 32/3*v + 16/3*v**2.
2*(v - 1)*(v + 2)**4/3
Let b = 9 - 2. Suppose -13*k**3 + 2*k**4 + 39*k + 5*k**3 - 32 - b*k = 0. Calculate k.
-2, 2
Let u(r) be the third derivative of -1/21*r**3 - 2*r**2 + 0 - 1/210*r**5 - 1/42*r**4 + 0*r. Find m such that u(m) = 0.
-1
Let r(o) = o**3 - o**2 + o - 1. Let x(d) = -d**4 - 2*d**3 + 3*d**2 - 5*d + 5. Let f(t) = -5*r(t) - x(t). What is c in f(c) = 0?
0, 1, 2
Let n(o) = 7*o**4 + o**3 - 3*o**2 + 3*o - 4. Let b(h) = h**4 + h**3 - 1. Let g(i) = 4*b(i) - n(i). Find p such that g(p) = 0.
-1, 0, 1
Let w = 1 + -4. Let m be w/(-9) - 5/(-3). Find j such that -4/3 - 2/3*j**m - 2*j = 0.
-2, -1
Let p(c) be the first derivative of -2/9*c**3 - c**2 - 2 - 4/3*c. Factor p(f).
-2*(f + 1)*(f + 2)/3
Let g(o) be the first derivative of 2/15*o**5 + 0*o**2 + 0*o + 0*o**3 + 1/9*o**6 - 1 + 0*o**4. Solve g(n) = 0 for n.
-1, 0
Factor m**3 - 18*m**5 + m**3 + 32*m**4 - 7*m**3 - 5*m**3 - 4*m**2.
-2*m**2*(m - 1)**2*(9*m + 2)
Let z(b) = b**2 - 6*b + 5. Let a be z(5). Let s(o) be the third derivative of -3*o**2 - 1/90*o**5 + a*o**4 + 0 + 0*o**3 + 0*o. Determine n so that s(n) = 0.
0
Suppose 4*k = 4*n + 48, 0 = -3*n + 5*n + 10. Let c = k + -5. Factor 0 + 1/4*x**4 + 3/4*x**c - 3/4*x**3 - 1/4*x.
x*(x - 1)**3/4
Suppose -x = -4*x + 12. Find q such that 4*q**2 + x*q**3 + 2*q - 16 + 14*q + q**3 - 9*q**3 = 0.
-2, 1, 2
Determine j so that -j**5 - 202*j**4 + 199*j**4 - j**5 - j**5 = 0.
-1, 0
Let k(p