. Let b(v) = 0. What is v?
-1, 1
Suppose -2*v = -5 + 1. Let o(n) be the first derivative of 1 + 1/24*n**6 + 0*n**v - 1/20*n**5 + 0*n - 1/16*n**4 + 1/12*n**3. Let o(m) = 0. What is m?
-1, 0, 1
Let v(y) = -y**3 - 7*y**2 + 9*y + 12. Let q be v(-8). Let c(z) be the second derivative of 0 - z**2 + z**3 + z - 1/2*z**q + 1/10*z**5. Factor c(m).
2*(m - 1)**3
Let z(t) be the first derivative of t**6/18 - t**5/3 + 3*t**4/4 - 7*t**3/9 + t**2/3 + 51. Factor z(d).
d*(d - 2)*(d - 1)**3/3
Let a(j) = 3*j**3 - 3*j**2 + 2*j - 2. Let p(m) = 16*m**3 - 16*m**2 + 11*m - 11. Let u(v) = 11*a(v) - 2*p(v). Factor u(t).
t**2*(t - 1)
Suppose -2*o - 4 = -0*o. Let a be (-8 - o)/(-1 - 4). Factor 3/5*c**2 + 3/5*c**4 + 0*c + 0 + a*c**3.
3*c**2*(c + 1)**2/5
Suppose -72*z - 15 = -77*z. Let u(k) be the first derivative of 0*k**2 + 1/6*k**6 + 0*k + z + 1/5*k**5 - 1/4*k**4 - 1/3*k**3. Determine w so that u(w) = 0.
-1, 0, 1
Suppose 13*m**3 - 6*m**5 - 5*m**3 - 28*m**4 + 26*m**5 = 0. What is m?
0, 2/5, 1
Suppose 2*i = -2*i + 16. Factor -7*d**2 - 15*d**i - 27*d**3 - 15*d**2 - 6*d - 3*d**5 + d**2.
-3*d*(d + 1)**3*(d + 2)
Let k(m) be the first derivative of 4*m**3/3 + 10*m**2 - 24*m + 10. Suppose k(i) = 0. Calculate i.
-6, 1
Suppose -2*r - r - 2*p = 4, 3*p = 2*r - 19. Let t(z) = -2 - z**2 + 2*z - z - 2*z**r. Let s(d) = 4*d**2 - d + 3. Let k(m) = -2*s(m) - 3*t(m). Factor k(j).
j*(j - 1)
Let s be (-4)/7 + (-324)/(-126). Let a be -3*1/(-6)*1. What is b in 1 + a*b**s - 3/2*b = 0?
1, 2
Let l = 53/6 + -25/3. Factor 1/4*h**2 - l - 1/4*h.
(h - 2)*(h + 1)/4
Let s(k) = k + 1. Let i be s(4). Determine z so that 2*z**4 - 10*z**i + 4*z**5 - 6*z**4 + 2*z**3 = 0.
-1, 0, 1/3
Let l(r) be the first derivative of -3*r + 3 - 3/4*r**2 - 1/8*r**3 + 1/16*r**4. Let b(y) be the first derivative of l(y). Determine g, given that b(g) = 0.
-1, 2
Let y be (78/(-3003))/((-3)/33). Factor 2/7*t - y*t**2 + 0.
-2*t*(t - 1)/7
Let o(i) = 2*i**3 + 11*i**2 + 5*i. Let d(p) = p**3 + 5*p**2 + 2*p. Let k(y) = 9*d(y) - 4*o(y). Find r such that k(r) = 0.
-2, 0, 1
Let d(n) be the second derivative of -n**9/3024 + n**8/1680 + n**7/840 - n**6/360 - n**3/6 + n. Let y(b) be the second derivative of d(b). Factor y(r).
-r**2*(r - 1)**2*(r + 1)
Let k = 9 - 11. Let l(x) = 3*x**3 + x**2 - 5*x. Let o(c) = -c. Let m(f) = k*l(f) + 10*o(f). Factor m(q).
-2*q**2*(3*q + 1)
Factor 10*c**4 - 8*c**3 + 10*c**2 - 3*c + 22*c**3 - 4*c**4 + 5*c.
2*c*(c + 1)**2*(3*c + 1)
Let w(a) = -a**2 + 7*a + 2. Let s be w(7). Let i(k) be the first derivative of -10*k**3 + 18*k**s - 8*k + 7/4*k**4 - 2. What is r in i(r) = 0?
2/7, 2
Let z = -2555/36 - -71. Let c(w) be the second derivative of 1/120*w**5 + 1/36*w**3 + z*w**4 + 0 + 0*w**2 + 2*w. Factor c(q).
q*(q + 1)**2/6
Factor -5/2*v**4 + 0 + 25/2*v**2 + 5*v + 15/2*v**3 - 5/2*v**5.
-5*v*(v - 2)*(v + 1)**3/2
Let y = 197 - 195. Factor 2/5*k**3 + 6/5*k**y + 0 + 0*k.
2*k**2*(k + 3)/5
What is a in 0 + 1/4*a**2 + 1/2*a = 0?
-2, 0
Let f(w) be the third derivative of 0*w + 0 - 1/210*w**5 + 2/21*w**3 - 4*w**2 - 1/84*w**4. Factor f(k).
-2*(k - 1)*(k + 2)/7
Let h(c) be the second derivative of -1/21*c**3 + 0 + 2/7*c**2 - 1/42*c**4 - 2*c. Let h(m) = 0. What is m?
-2, 1
Let b be 3 - (-147)/60 - (-9)/(-3). Let u(m) be the first derivative of -119/16*m**4 + b*m**5 + 11/2*m**2 + 3 + 3/2*m**3 + 2*m. Factor u(q).
(q - 2)*(q - 1)*(7*q + 2)**2/4
Suppose y = -4*y + 10. Suppose 10*k**y - 2*k - 5*k**3 - 5*k**4 + 11*k**4 - 9*k**3 = 0. What is k?
0, 1/3, 1
Suppose 4*n = -4*a - 8, -7 - 1 = 2*a + 3*n. Factor 0 + 0*r - 1/5*r**a + 1/5*r**3.
r**2*(r - 1)/5
Suppose 2*s + 3*s + k - 18 = 0, k = -2*s + 6. Let y(j) = -2*j**4 + 10*j**3 - 4*j**2 + 4. Let x(a) = a**3 + 1. Let p(b) = s*x(b) - y(b). Let p(o) = 0. What is o?
0, 1, 2
Let f(k) be the third derivative of 9*k**7/350 + 29*k**6/200 + 6*k**5/25 + k**4/10 + 12*k**2. Let f(w) = 0. What is w?
-2, -1, -2/9, 0
Suppose -2*r = -8*r. Let x(k) be the second derivative of 4/15*k**6 + r - 2*k - 1/6*k**3 - 5/6*k**4 + 5/42*k**7 - 1/5*k**5 + k**2. What is m in x(m) = 0?
-1, 2/5, 1
Factor -4*g - 2*g**2 + 5 + 13*g + 15*g + 3 - 6*g**3.
-2*(g - 2)*(g + 2)*(3*g + 1)
Let b(s) = s**3 - 4*s**2 + 2*s - 4. Let r be b(4). Let -6*p + 0*p + 3*p**2 + p**3 + p**3 + r*p**3 - 3*p**4 = 0. What is p?
-1, 0, 1, 2
Let t = -24 + 27. Solve -2/3*m**t + 2/3*m - 2/3 + 2/3*m**2 = 0.
-1, 1
Let w(n) = -4*n**4 - 5*n**3 + 5*n**2 + 3*n + 3. Let c(a) = -4*a**4 - 6*a**3 + 6*a**2 + 4*a + 4. Let r(z) = 3*c(z) - 4*w(z). Factor r(g).
2*g**2*(g + 1)*(2*g - 1)
Let y(q) = 6*q**2 - 6*q + 3. Let c(a) = 5*a**2 - 6*a + 3. Let w = 7 + -9. Let n(k) = w*y(k) + 3*c(k). Solve n(m) = 0.
1
Let h(v) be the third derivative of v**5/390 - 2*v**4/39 + 16*v**3/39 - 6*v**2. Determine f so that h(f) = 0.
4
Let c(m) be the third derivative of -m**6/420 - m**5/70 - m**4/42 + 5*m**2. Solve c(f) = 0 for f.
-2, -1, 0
Let b(q) be the third derivative of -q**9/4536 - q**8/2520 + q**7/1260 + q**6/540 + q**3/6 - 7*q**2. Let z(n) be the first derivative of b(n). Factor z(u).
-2*u**2*(u - 1)*(u + 1)**2/3
Let c(g) = -4*g**2 - 38*g - 202. Let w(z) = z**2 - z + 1. Let s(y) = -c(y) - 2*w(y). Factor s(r).
2*(r + 10)**2
Let 2/3*b**2 + 10/3*b - 2/3*b**3 + 2 = 0. Calculate b.
-1, 3
Let y(i) be the first derivative of i**3/3 + 3*i**2/2 + 4*i - 5. Let t be y(0). Solve 9/4*z**5 + 0 - 3/2*z**t + 0*z + 0*z**2 + 0*z**3 = 0.
0, 2/3
Let y be ((-1)/9)/((-10)/120). Determine n, given that 1/3*n**2 + 4/3 + y*n = 0.
-2
Let g = -2 - -2. Let s(j) be the second derivative of -1/135*j**6 + 0 + 1/27*j**3 + 1/54*j**4 - 1/90*j**5 + j + g*j**2. Determine x so that s(x) = 0.
-1, 0, 1
Let a = 1397 + -1395. Factor 0*f - 1/7*f**a - 1/7*f**5 + 1/7*f**3 + 0 + 1/7*f**4.
-f**2*(f - 1)**2*(f + 1)/7
Let m(w) be the second derivative of -1/18*w**4 + 1/30*w**5 + 0*w**2 + 0 - 5*w - 1/63*w**7 + 1/45*w**6 + 0*w**3. What is n in m(n) = 0?
-1, 0, 1
Let z = 3613/9 + -401. Let m = 4 - 0. Determine q, given that 2/9 - 2/9*q**m + 0*q**2 + 4/9*q**3 - z*q = 0.
-1, 1
Let n(y) be the first derivative of 7*y**6/4 + 27*y**5/10 + 3*y**4/4 + 20. Solve n(i) = 0 for i.
-1, -2/7, 0
Let y = 79/11 + -7. What is k in 6/11*k + y + 4/11*k**2 = 0?
-1, -1/2
Factor 4*h**4 + h**2 + 10*h**3 + 3*h**2 - 2*h**3.
4*h**2*(h + 1)**2
Let p = 18 + -13. Let j(x) be the second derivative of 2*x + 0*x**2 + 4/9*x**4 + 0 + 4/9*x**3 + 1/10*x**p. Determine v, given that j(v) = 0.
-2, -2/3, 0
Factor -1/2*u**4 + 1/2 - u**3 + 0*u**2 + u.
-(u - 1)*(u + 1)**3/2
Let k(w) be the second derivative of 1/24*w**4 - 1/80*w**5 + 3*w + 0 - 1/24*w**3 + 0*w**2. Factor k(n).
-n*(n - 1)**2/4
Let c = 2725/2 - 1362. Factor 1/2*d**2 - c + 0*d.
(d - 1)*(d + 1)/2
Factor 2/5*p**2 + 6/5*p**4 - 6/5*p**3 + 0*p - 2/5*p**5 + 0.
-2*p**2*(p - 1)**3/5
Let q(v) = 7*v**2 + 8*v + 16. Let d(s) = -36*s**2 - 39*s - 81. Let f(z) = 4*d(z) + 21*q(z). Solve f(r) = 0 for r.
-2
Let o(r) = -r**4 - r**2 + 1. Let f(t) = 3*t**5 - 7*t**4 - 3*t**3 - 11*t**2 + 9. Let m(x) = 2*f(x) - 18*o(x). What is d in m(d) = 0?
-1, -2/3, 0, 1
Suppose 0 = -2*o - 3*o - v + 24, 4*o + 3*v = 17. Let c(p) be the second derivative of -1/90*p**6 - 3*p + 0 + 0*p**o + 0*p**2 + 0*p**4 + 0*p**3. Factor c(f).
-f**4/3
Let n(c) be the second derivative of 1/30*c**5 + 7*c - 1/9*c**3 - 1/18*c**4 + 1/3*c**2 + 0. Factor n(a).
2*(a - 1)**2*(a + 1)/3
Let x be (-1)/2 - (15/(-6))/1. Let p(a) be the second derivative of 0*a**3 + 2*a + 0*a**x - 1/60*a**6 + 0*a**4 + 0 + 1/40*a**5. Find h such that p(h) = 0.
0, 1
Let u(b) be the first derivative of 5*b**4/4 + 5*b**3/3 - 5*b**2/2 - 5*b - 1. What is r in u(r) = 0?
-1, 1
Let i(l) = -8*l**4 + 20*l**3 - 4*l**2 - 8*l + 6. Let k(b) = b**4 - 2*b**3. Let c(y) = -i(y) - 6*k(y). Find s, given that c(s) = 0.
-1, 1, 3
Let n(w) be the third derivative of w**6/90 + w**5/45 - w**4/18 - 2*w**3/9 - 7*w**2. Factor n(b).
4*(b - 1)*(b + 1)**2/3
What is p in -9/4*p**2 - 3*p - 1 = 0?
-2/3
Factor 0 + 5*t + 2 - 6*t**2 + 4 + 16*t - 21*t**3.
-3*(t - 1)*(t + 1)*(7*t + 2)
Let c(f) be the third derivative of -f**6/720 + f**5/120 - f**4/48 + f**3/36 - 4*f**2. Factor c(b).
-(b - 1)**3/6
Let i = -3 - -3. Let k(v) be the third derivative of i + 0*v + 1/12*v**5 - 1/72*v**4 - 1/9*v**3 + 1/90*v**7 - 19/360*v**6 - v**2. Find t, given that k(t) = 0.
-2/7, 1
Let h(r) be the second derivative of -r**4 - 16*r**3/3 + 6*r**2 - 6*r. Factor h(v