or i(a).
-(a - 3)*(a + 1)*(a + 2)/3
Let s(y) be the third derivative of -1/21*y**3 + 0 - 2*y**2 + 0*y**4 + 1/210*y**5 + 0*y. Determine d so that s(d) = 0.
-1, 1
Factor 1/3*g**4 - 1/6*g**3 - 1/3*g**2 + 1/6*g**5 + 0*g + 0.
g**2*(g - 1)*(g + 1)*(g + 2)/6
Let h be 6/12 + (-1)/2. Let g(a) = -a + 2. Let c be g(h). Factor -c*q**4 + 3*q**4 + 0*q**4 + 0*q**4.
q**4
Let n(d) be the third derivative of d**7/1680 - d**6/480 - d**5/40 + 5*d**4/24 - d**2. Let v(j) be the second derivative of n(j). What is b in v(b) = 0?
-1, 2
Let s(z) = z**2 + 6*z + 2. Let y be s(-4). Let u be y/4 + (-279)/(-162). What is n in 0*n**3 - 2/9*n**5 + 4/9*n**4 + u*n + 0 - 4/9*n**2 = 0?
-1, 0, 1
Solve -12*w**3 - 16*w**2 - 20*w - 8*w**2 - 3*w**4 - 6 + 6*w**4 - 5*w**4 = 0.
-3, -1
Let l(m) be the third derivative of -1/50*m**5 + 4*m**2 + 4/15*m**3 - 1/300*m**6 + 0 + 0*m**4 + 0*m. Factor l(k).
-2*(k - 1)*(k + 2)**2/5
Factor -2/3*l**2 - 2/3*l**3 + 0 - 2/9*l**4 - 2/9*l.
-2*l*(l + 1)**3/9
Let g be 1*(-1 - (-45)/12). Let h = g - -27/28. Find n, given that -2/7*n**4 + 12/7*n**3 - 8/7 - h*n**2 + 24/7*n = 0.
1, 2
Let i(g) be the third derivative of -g**5/20 - g**4/8 + 5*g**2. Let i(z) = 0. What is z?
-1, 0
Let m(l) = -l**3 + 4*l - 3. Let b be m(2). Let d be b - (2 - (-21)/(-4)). Suppose 3/4*f - 1/4*f**2 - d*f**4 + 1/2 - 3/4*f**3 = 0. Calculate f.
-2, -1, 1
Let t(k) be the second derivative of -2*k**5/75 + k**4/60 + k**3/5 - k**2 - 5*k. Let g(o) be the first derivative of t(o). Factor g(c).
-2*(c - 1)*(4*c + 3)/5
Let c(z) be the third derivative of z**7/1575 + z**6/150 + 2*z**5/75 + z**4/18 + z**3/15 + 7*z**2. Factor c(x).
2*(x + 1)**3*(x + 3)/15
Let k = -47 - -50. Let u(o) be the first derivative of -5/6*o**3 + 0*o - 1/2*o**2 + k - 1/10*o**5 - 1/2*o**4. Factor u(m).
-m*(m + 1)**2*(m + 2)/2
Let m(s) = -s - 4. Let g be m(-3). Let x be -1 + 5 + g + 1. Factor -t - 3*t**3 - x*t**5 + 8*t**5 - 4*t**2 + 4*t**4 + 0*t**3.
t*(t - 1)*(t + 1)*(2*t + 1)**2
Let s = 8 + -4. Let m = 0 + s. Suppose -1/2 + 7/4*j**3 - m*j**2 + 11/4*j = 0. What is j?
2/7, 1
Let y(x) = 1 + x + 0 - 3 + x**2 + 1. Let j(l) = -3*l**2 - 11*l + 9. Let r(o) = -j(o) - 5*y(o). Solve r(g) = 0 for g.
1, 2
Let x(s) = -s**2 - 7*s - 2. Let i be x(-6). Let q(h) = -3*h**2 - 4*h - 4. Let j(b) = 3*b**2 + 5*b + 5. Let t(y) = i*j(y) + 5*q(y). Solve t(v) = 0.
0
Let g(k) = -k - 2. Let n = -5 + 1. Let f be g(n). Factor -z**4 + 2*z**2 - z**f - 1 + z**2.
-(z - 1)**2*(z + 1)**2
Suppose -3*m + 6 = -3. Let f = 4 + -2. Suppose 0 - 2*j**3 - 2*j**m + f - 10*j + 2*j + 10*j**2 = 0. What is j?
1/2, 1
Let b(r) be the first derivative of 4 + 3*r**2 + 0*r**4 + 3*r**3 + 0*r - 3/5*r**5. Factor b(i).
-3*i*(i - 2)*(i + 1)**2
Let w(h) be the second derivative of h**5/30 - h**4/6 + h**3/3 - 3*h**2 + h. Let x(u) be the first derivative of w(u). Solve x(k) = 0.
1
Find q such that -1/2*q**4 + 1/2*q - 1/2*q**3 + 1/2*q**2 + 0 = 0.
-1, 0, 1
Let d = -12 + 14. Solve -q**d - 5*q**5 + 3*q**5 - 4*q**4 + 7*q**4 = 0 for q.
-1/2, 0, 1
Suppose 2*n + 5 = 5*m, m - n = 3*n - 17. Let j be (4/(-10))/(m/(-15)). Factor -1 + 3*c**j - c - 1 + c**3 - c**4 + 0*c.
-(c - 2)*(c - 1)*(c + 1)**2
Find f, given that 1/3*f - 1/3*f**2 - 1/3*f**3 + 0 + 1/3*f**4 = 0.
-1, 0, 1
Let n(x) be the second derivative of -x**8/504 + x**7/315 + x**6/90 + x**2 + x. Let w(a) be the first derivative of n(a). Factor w(u).
-2*u**3*(u - 2)*(u + 1)/3
Let j(c) = 25*c - 223. Let d be j(9). Factor 4/9 - 2/9*n - 2/3*n**d.
-2*(n + 1)*(3*n - 2)/9
Let f(j) be the third derivative of -1/3*j**3 + 0*j**4 + 1/30*j**5 + 0*j + 0 - j**2. Factor f(i).
2*(i - 1)*(i + 1)
Let h be -4 - -2*(-51)/(-24). Let n(t) be the second derivative of -h*t**2 + 0 - 1/12*t**3 + 1/40*t**5 + 1/24*t**4 - t. Find o such that n(o) = 0.
-1, 1
Suppose -h - 30 = -5*a + 4*h, -5*h - 28 = -4*a. Let -a - 7*w + 3*w - 6*w - 2*w - 18*w**2 = 0. What is w?
-1/3
Let h = 825/8 - 103. Let g(d) be the third derivative of 0 - 3*d**2 + 0*d**3 + 0*d - 3/20*d**5 - h*d**4. Determine i so that g(i) = 0.
-1/3, 0
Let m(g) be the first derivative of -g**4/6 - 2*g**3/3 + 3*g**2 - 2*g + 2. Let o(u) be the first derivative of m(u). Factor o(a).
-2*(a - 1)*(a + 3)
Suppose 2*k = -8, 4*p + 2*k + 48 = 3*k. Let f = -3 - p. Solve -7*x + 1 + f*x**2 + 6*x**3 + 12*x**3 - 27*x**5 - 27*x**4 + 0*x = 0 for x.
-1, 1/3
Factor -1/11*m**3 - 4/11*m - 4/11*m**2 + 0.
-m*(m + 2)**2/11
Let 28/17*q + 2/17*q**2 + 98/17 = 0. Calculate q.
-7
Suppose 2 = 4*t - 6. Let 296*i**3 + i**t + i**4 - 299*i**3 + i**2 = 0. What is i?
0, 1, 2
Let v be (-3 - -2)/((-4)/8). Find h such that 0 + 6*h - 6*h**v + 2*h**3 - 2 - 5*h**2 + 5*h**2 = 0.
1
Let y be -8 + (186/36 - -3). Factor 0 + 0*p - 1/6*p**3 + y*p**2.
-p**2*(p - 1)/6
Suppose 0 = 2*g + 2 - 8. Let k(s) be the second derivative of -1/15*s**6 - 1/6*s**4 + 1/5*s**5 - s + 0*s**2 + 0*s**g + 0. Determine h, given that k(h) = 0.
0, 1
Let q = 13 - 9. Let c be (-1 - -5) + (2 - q). Factor d - 1/4 - 3/2*d**c + d**3 - 1/4*d**4.
-(d - 1)**4/4
Let g(v) be the second derivative of -v**7/7 + 3*v**6/10 + 3*v**5/20 - 3*v**4/4 + v**3/2 - 8*v. Find x, given that g(x) = 0.
-1, 0, 1/2, 1
Let b be (-2)/((6/5)/(1/(-5))). Find z such that 0 - z**3 + 1/3*z**5 + 2/3*z - b*z**4 + 1/3*z**2 = 0.
-1, 0, 1, 2
Let t(d) be the third derivative of -d**6/300 - d**5/50 - d**4/30 - 9*d**2. Factor t(x).
-2*x*(x + 1)*(x + 2)/5
Factor -6*j**2 + 8*j**3 + 3*j**4 - 2*j**4 + 2*j**2 - 5*j**4.
-4*j**2*(j - 1)**2
Suppose -4 = 14*x - 16*x. Let z(l) be the third derivative of -1/3*l**3 + 1/20*l**5 - 5/24*l**4 - x*l**2 + 0 + 0*l. Find g, given that z(g) = 0.
-1/3, 2
Let v(f) be the first derivative of 1/4*f**2 + 3 + 1/4*f + 1/12*f**3. Factor v(c).
(c + 1)**2/4
Let t = -14 - -15. Let f(m) be the first derivative of -4/3*m + t - 10/9*m**3 + 7/3*m**2. What is q in f(q) = 0?
2/5, 1
Let b(u) be the third derivative of 1/40*u**6 - 1/36*u**4 - 3/112*u**8 - 2*u**2 - 7/180*u**5 + 0 + 0*u + 3/70*u**7 + 0*u**3. Let b(p) = 0. What is p?
-1/3, 0, 2/3, 1
Suppose -p = 3*p + 56. Let k = p - -16. Factor -9/5*t - 6/5 + 3*t**k.
3*(t - 1)*(5*t + 2)/5
Determine b, given that b**3 + 0 + 0*b - 1/4*b**2 - 3/4*b**4 = 0.
0, 1/3, 1
Find m, given that 1/2*m - 1/4 - 1/2*m**3 + 0*m**2 + 1/4*m**4 = 0.
-1, 1
Let k be (0/(3 + -5))/(-2). Let s(z) be the first derivative of 0*z**2 + 1/6*z**3 + k*z - 1. Let s(v) = 0. What is v?
0
Let h(d) = 4 + d - 16*d + 14*d**2 + d. Let z(a) = 27*a**2 - 28*a + 8. Let p(y) = 7*h(y) - 4*z(y). Solve p(r) = 0.
2/5, 1
Let i(j) = -j**3 + 4*j**2 - 3*j + 2. Let y be i(1). Suppose 0*q = 2*q. Solve -14/9*f**y - 4/9*f + q = 0.
-2/7, 0
Factor -2*a - 2*a**4 - 2*a**3 - 2 + 12*a - 2*a**3 - 8*a + 2*a**5 + 4*a**2.
2*(a - 1)**3*(a + 1)**2
Let u = -1 + 3. Find w such that w - 5*w + u*w**2 - 10 + 10 = 0.
0, 2
Let u(f) = f**3 + 12*f**2 + 10*f - 2. Let n be u(-11). Let i(w) = -w + 9. Let z be i(n). Factor z*x**2 + 0 - 4/3*x**3 + 0*x**4 + 2/3*x + 2/3*x**5.
2*x*(x - 1)**2*(x + 1)**2/3
Factor 8/13*m**2 + 2/13*m**5 + 8/13*m**4 + 0 + 2/13*m + 12/13*m**3.
2*m*(m + 1)**4/13
Let p = -39 - -39. Let d(c) be the first derivative of -1/3*c**3 + 1/8*c**4 + p*c - 3 + 1/4*c**2. Factor d(i).
i*(i - 1)**2/2
Let k(o) = 10*o**4 - 14*o**3 - 10*o**2 + 8*o. Let z(b) = 9*b**4 - 13*b**3 - 9*b**2 + 8*b. Let a(u) = 5*k(u) - 6*z(u). Find d such that a(d) = 0.
-1, 0, 1, 2
Let k = 11 - 3. Let r be (-1)/k*(2 + -4). Solve 1/4*j**3 + r*j**4 + 0*j**2 + 0*j + 0 = 0.
-1, 0
Let o(p) be the second derivative of -p**5/4 + 5*p**4/2 - 15*p**3/2 + 10*p**2 - 7*p. Factor o(x).
-5*(x - 4)*(x - 1)**2
Suppose -5*m + 14 = -2*b, -2*b - 3*m + 11 = 41. Let y be b*(-1)/(-3)*-1. Factor -16/3 - y*z**2 + 8*z + 2/3*z**3.
2*(z - 2)**3/3
Let q(j) = -j + 7. Let o be q(3). Suppose o*i = i + u + 13, 0 = 3*i + 4*u - 8. What is b in -2*b**2 + 4/3*b + 0 + 0*b**3 + 2/3*b**i = 0?
-2, 0, 1
Let v = -4 - -6. Suppose -4*c = -3*q - 8, -2*c + v*q = 6*q - 4. Suppose -2/7*j + 2/7*j**4 + 2/7*j**3 + 0 - 2/7*j**c = 0. What is j?
-1, 0, 1
Let g(b) = b**2 + 5*b - 4. Let u be g(-6). Suppose 4*z - 20 = -q, q - 15 = 5*q - 3*z. Factor 2/3*p**4 + q*p + 0*p**u + 4/9*p**3 + 0.
2*p**3*(3*p + 2)/9
Let h(r) be the second derivative of r**7/63 - 8*r**6/135 + r**5/90 + 4*r**4/27 - 4*r**3/27 - 19*r. Solve h(g) = 0 for g.
-1, 0, 2/3, 1, 2
Let z = -51 + 54. What is i in 0*i**2 + 0 + 2/17*i - 2/17*i**z = 0?
-1, 0, 1
Let u be -3 + 4 + 