6/30 - 4*r**5/15 + r**2. Let n(i) = 0. Calculate i.
-4, 0
Suppose 0*t = 4*t. Let n(g) be the third derivative of 0*g**4 + 0*g**3 - 1/270*g**5 - g**2 + 0 + 1/540*g**6 + t*g. Factor n(i).
2*i**2*(i - 1)/9
Factor 1/4*d**3 - 1/4*d + 1/2 - 1/2*d**2.
(d - 2)*(d - 1)*(d + 1)/4
Let h be 24/16 + (-3)/2. Let n = -11 + 15. Factor h*d**n + 2*d**4 + 1 - 4*d**3 + 2*d**3 + 3 + 2*d - 6*d**2.
2*(d - 2)*(d - 1)*(d + 1)**2
Let z(v) = -8*v**4 + 8*v**2 - 4*v. Let k(f) = f**4 + f**3 - f**2. Let i(c) = 4*k(c) + z(c). Suppose i(l) = 0. What is l?
-1, 0, 1
Factor -12/5*p**2 - 4/5*p**3 + 0*p + 16/5.
-4*(p - 1)*(p + 2)**2/5
Let g(o) be the third derivative of -2*o**7/105 + o**6/15 + o**5/15 - o**4/3 - 11*o**2. Factor g(i).
-4*i*(i - 2)*(i - 1)*(i + 1)
Solve 8 + 14*c**4 - 22*c**2 + 8 - 10*c**5 + 26*c**3 - 16*c - 8 = 0 for c.
-1, 2/5, 1, 2
Suppose -a + 3 = 3*y, -3*y + 3 = -0*a - 4*a. Let n(d) be the second derivative of 3*d + 0*d**2 + 1/42*d**4 + 1/21*d**3 + a. Factor n(r).
2*r*(r + 1)/7
Suppose 9*g = 10*g. Find o such that -6/5*o**3 + 0*o + 9/5*o**4 + g + 0*o**2 - 3/5*o**5 = 0.
0, 1, 2
Let t(z) be the third derivative of -z**5/60 - z**4/6 + 7*z**3/6 + 5*z**2. Let f be t(-5). Solve -2/3*j**3 - 2/3*j + 0 + 4/3*j**f = 0 for j.
0, 1
Let f = 2 - -3. Suppose -f*a + 20 = -i, 3*a + 3*i = 5*a - 21. Factor -2*p**2 - 4*p**3 + 2 + 3 + 2*p - a + 2*p**3.
-2*(p - 1)*(p + 1)**2
Let u = -6 - -9. Suppose 7*n - 20 = u*n. Factor 0 + 0*m**2 + 0*m**3 - 2/3*m**4 + 0*m - 2/3*m**n.
-2*m**4*(m + 1)/3
Let k(t) be the second derivative of t**5/130 - t**4/39 + t**3/39 + 11*t. Determine v, given that k(v) = 0.
0, 1
Let y(x) = x**3 + 5*x**2 - 34*x + 21. Let j be y(-9). Let z(a) be the second derivative of -1/54*a**4 + 0*a**j + 2*a - 1/90*a**5 + 0*a**2 + 0. Factor z(g).
-2*g**2*(g + 1)/9
Suppose 2 = 5*w - 23. Suppose 4*u + 12 = -4*s, 29 = -3*u - w*s + 12. Factor -13/4*a**2 - 3/2*a**3 - u - 1/4*a**4 - 3*a.
-(a + 1)**2*(a + 2)**2/4
Let h(w) be the first derivative of -5*w**4/12 - 50*w**3/9 - 80*w**2/3 - 160*w/3 - 25. Factor h(k).
-5*(k + 2)*(k + 4)**2/3
Suppose 12 = 3*b + 3. Suppose -4*r + 4*u = 0, 0 = -r + 2*u - 0 - 4. Factor 0*y - 1/3*y**r + 0 + 1/3*y**2 + 1/3*y**b - 1/3*y**5.
-y**2*(y - 1)*(y + 1)**2/3
Factor -4*f**3 + 0 - 8/3*f - 28/3*f**2.
-4*f*(f + 2)*(3*f + 1)/3
Let w be 9/((-45)/4) - -1. Suppose w*j**2 + 3/5*j + 2/5 = 0. Calculate j.
-2, -1
Solve 18*j**4 - 231*j**3 + 115*j**3 - 114*j**2 + 96 + 113*j**3 + 3*j**5 = 0 for j.
-4, -1, 1, 2
Factor 4/7*z - 2/7*z**4 + 2/7*z**2 + 0 - 4/7*z**3.
-2*z*(z - 1)*(z + 1)*(z + 2)/7
Let y be (-4)/4*-1 - 1. Let v be y + 8/(-5) + 2. Factor 0 + 2/5*c**3 + v*c**2 + 0*c.
2*c**2*(c + 1)/5
Let x(m) be the third derivative of 0*m - 1/135*m**5 - 1/60*m**6 + m**2 + 0*m**4 - 2/189*m**7 + 0*m**3 + 0. Find l such that x(l) = 0.
-1/2, -2/5, 0
Suppose 248*m = 250*m - 4. Find p such that 4/3*p + 2/3 + 2/3*p**m = 0.
-1
Let x(k) be the first derivative of -25*k**3/3 + 45*k**2/2 + 10*k - 2. Let x(m) = 0. Calculate m.
-1/5, 2
Let z be (20/8)/(1/2). Suppose -3*h - 4 = -z*h. Factor 0*f + 3*f + f**h + 4*f**2 - 2*f**2.
3*f*(f + 1)
Let y(t) be the first derivative of -t**4/10 + 2*t**3 - 15*t**2 + 50*t - 16. Solve y(b) = 0.
5
Let l(u) be the third derivative of 8/15*u**3 + 0*u + 1/25*u**5 - 4*u**2 + 1/300*u**6 + 0 + 1/5*u**4. Factor l(k).
2*(k + 2)**3/5
Let j(x) be the second derivative of -x**5/5 + 8*x**3/3 + 25*x. Factor j(i).
-4*i*(i - 2)*(i + 2)
Let q(z) be the first derivative of 98*z**6/3 + 476*z**5/5 + 67*z**4 - 92*z**3/3 - 32*z**2 + 16*z - 5. Factor q(h).
4*(h + 1)**3*(7*h - 2)**2
Let u = -1 - -11. Suppose -2*a - 4*h + u = -0*a, -5*a - h + 16 = 0. Determine s so that 6/7*s**a - 2/7*s - 4/7*s**4 + 0*s**2 + 0 = 0.
-1/2, 0, 1
Let z(m) = m**2 - 1. Let s(c) = -2*c**2 + 2*c + 7. Let q(a) = 2*s(a) + 14*z(a). Let q(v) = 0. What is v?
-2/5, 0
Let y be (-3)/(-4)*(-19 - -27). Factor -3*l**4 + y*l - 9*l**2 + 2*l**4 + 4*l**4.
3*l*(l - 1)**2*(l + 2)
Determine q so that -2*q**2 - 5*q**3 + 5*q + 7*q + q**4 - 2*q**3 + 4*q**3 - 8 = 0.
-2, 1, 2
Factor -3/4*a**3 - 1/8*a + 0 - 1/8*a**5 + 1/2*a**2 + 1/2*a**4.
-a*(a - 1)**4/8
Let h = -794/39 + 62/3. Let b = h - 2/91. Let -2/7*s**2 + 2/7 - b*s + 2/7*s**3 = 0. What is s?
-1, 1
Let g(t) = -t - 1. Let a be g(6). Let y(z) = -z**2 - 9*z - 10. Let v be y(a). What is o in 2*o + 0*o**4 - o**v + 3*o**4 - 2*o**2 - 2*o**3 = 0?
-1, 0, 1
Let f(t) be the first derivative of 2*t**3/3 - t**2/3 - 4*t/3 - 6. Factor f(s).
2*(s - 1)*(3*s + 2)/3
Let z(j) be the first derivative of j**6/21 + 2*j**5/35 - j**4/14 - 2*j**3/21 + 10. Determine k so that z(k) = 0.
-1, 0, 1
Let o(f) be the second derivative of -2*f**7/105 - f**6/25 + f**5/10 + f**4/6 - f**3/5 - 2*f**2/5 - 43*f. Solve o(r) = 0.
-2, -1, -1/2, 1
Let 2/3*o**2 - 2/3*o**3 - 2/3 + 2/3*o = 0. What is o?
-1, 1
Suppose 0 = -y + 5, -2*a - 5*y + 35 = -0*a. Suppose 2*o + 3*o**2 + 0 - a*o**2 - 2*o**3 + 2 = 0. Calculate o.
-1, 1
Let m be -1 + -2 - 12/(-4). Let j be m + 0*1/(-4). Let -3/2*o**2 + j - o**3 + 3/2*o**4 + o = 0. What is o?
-1, 0, 2/3, 1
Let y(g) be the second derivative of g**4/16 + g**3/24 + 4*g. Factor y(i).
i*(3*i + 1)/4
Let u(g) = 9*g + 63. Let q be u(-7). Determine w so that w + 1/2*w**2 + q = 0.
-2, 0
Let k(t) be the first derivative of -t**5/20 - t**4/12 + t**3/6 + t**2/2 + 3*t - 2. Let n(s) be the first derivative of k(s). Determine f so that n(f) = 0.
-1, 1
Suppose 0*r**3 - 129*r + 10*r**2 - 343 - 31*r**2 - 18*r - r**3 = 0. What is r?
-7
Solve 10/7*v**3 + 2/7*v**2 + 0 + 0*v + 8/7*v**4 = 0.
-1, -1/4, 0
Suppose 0*m - 5*a = m + 3, -4*a = 4*m - 4. Let g be ((-2)/6)/(m/(-12)). Let -1/4*y + 0 + 1/4*y**g = 0. What is y?
0, 1
Suppose 1/4*a**4 + 0*a - 1/2*a**2 + 1/4*a**3 + 0 = 0. What is a?
-2, 0, 1
Let y be (4/(2 - -14))/2. Let j(c) be the first derivative of 0*c**2 - 1/12*c**6 + 0*c**5 + 0*c**3 - 2 + y*c**4 + 0*c. Solve j(n) = 0.
-1, 0, 1
Let f be (-2)/(-16) + 54/48. Determine u so that 7/4*u**4 + 0*u + 0 - 1/2*u**2 - f*u**3 = 0.
-2/7, 0, 1
Factor -2*w**2 - 1/2*w**3 + 5 + 7/2*w.
-(w - 2)*(w + 1)*(w + 5)/2
Let k(h) be the third derivative of 0 + 4*h**2 - 1/12*h**4 + 0*h**3 + 0*h**6 - 1/15*h**5 + 2/105*h**7 + 1/168*h**8 + 0*h. Find n, given that k(n) = 0.
-1, 0, 1
Let b(h) = -h**3 + 5*h**2 - 5*h + 4. Let j be b(4). Suppose 3*y - 12 = -v, j*y + 12 = -v + 3*y. What is g in v + 1/4*g**3 - 1/4*g - 1/4*g**4 + 1/4*g**2 = 0?
-1, 0, 1
Let f(c) be the first derivative of c**4/12 + c**3/3 - c**2/6 - c - 1. Factor f(u).
(u - 1)*(u + 1)*(u + 3)/3
Suppose 14*n - 5 - 23 = 0. Factor -3*z - 1/4*z**4 - 13/4*z**n - 3/2*z**3 - 1.
-(z + 1)**2*(z + 2)**2/4
Factor -5/4*s**2 - 125/4 - 25/2*s.
-5*(s + 5)**2/4
Let s(z) = -z**3 - 15*z**2 + 4*z + 15. Let r(u) = -u**3 + u**2 - 1. Let a(j) = 3*r(j) + s(j). Suppose a(y) = 0. What is y?
-3, -1, 1
Let i(y) = -y**2 + y - 14. Let g be i(0). Let h be (-14)/(-7)*(-2)/g. Determine p so that -2/7*p**4 + h*p**2 + 0*p**3 + 0 + 0*p = 0.
-1, 0, 1
Let i(p) be the third derivative of p**8/2016 + p**7/180 + p**6/48 + 13*p**5/360 + p**4/36 + 11*p**2. Factor i(h).
h*(h + 1)**3*(h + 4)/6
Let d(l) be the third derivative of -l**8/840 + l**6/100 - l**5/75 - 37*l**2. Suppose d(h) = 0. Calculate h.
-2, 0, 1
Let j(o) be the first derivative of o**5/20 + o**4/4 - o**2 - 1. Let r(u) be the second derivative of j(u). Factor r(n).
3*n*(n + 2)
Suppose 6 = -y + 4*y. Let t be (-10)/(-20) + (-9)/(-14). Factor -8/7 - t*a - 2/7*a**y.
-2*(a + 2)**2/7
Let t be 2*(-3)/(-8) - (-24)/(-32). Factor -18*q**4 + 10*q**3 + 64/9*q**2 + t + 8/9*q.
-2*q*(q - 1)*(9*q + 2)**2/9
Let n(d) = d - 8. Let p be n(10). Let q be (-1 - p)/(-3) + 1. Find b such that -4/3*b**3 - 5/3*b**q - 1/3*b + 0 = 0.
-1, -1/4, 0
Let 3/5*d**2 - 1/5*d**4 - 4/5 - 2/5*d**3 + 4/5*d = 0. What is d?
-2, 1
Let n = 52 + -48. Let h(y) be the second derivative of 2/15*y**6 + 0 + 0*y**2 + 1/10*y**5 + 1/24*y**3 - 7/48*y**n + 2*y. Let h(d) = 0. What is d?
-1, 0, 1/4
Let x(l) be the third derivative of l**7/10080 + l**6/2880 - l**5/240 + l**4/12 - 3*l**2. Let y(r) be the second derivative of x(r). Factor y(u).
(u - 1)*(u + 2)/4
Let n(x) = x + 1. Let b(a) = a**2 - 8*a + 10. Let u be b(7). Let z(w) = 7*w**2 + 12*w + 5. Let o(s) = u*n(s) - z(s). Factor o(f).
-(f + 1)*(7*f + 2)
Let v = 55 - 55. Let i(s) be the third derivative of 0*s**5 + 0*s + 0 + 0*s**3 + v*s**4 + s**2 - 1/70*s**7 - 1