*7/2520 + t**5/120 - t**4/6 + 2*t. Let a(l) be the third derivative of g(l). Suppose a(y) = 0. Calculate y.
-1, 1
Factor 10*x - 8 - 5*x + 3*x - 2*x**2.
-2*(x - 2)**2
Factor 3/2*h - 3/2*h**2 + 3.
-3*(h - 2)*(h + 1)/2
Factor 3*t**2 - 5*t**3 + 3*t**2 + 10*t**2 - 6*t**2.
-5*t**2*(t - 2)
Let g(u) be the third derivative of 0 - 8*u**2 + 1/12*u**3 + 1/240*u**5 + 1/32*u**4 + 0*u. Factor g(o).
(o + 1)*(o + 2)/4
Let t(h) be the third derivative of -h**7/1995 + h**5/570 - 17*h**2. Find n, given that t(n) = 0.
-1, 0, 1
Suppose -4*o - 5 - 5 = 2*y, -4*y + o = -16. Suppose -15*r**2 + 11*r**3 + 3*r**2 - 3*r**3 - 4*r**y + 8*r = 0. What is r?
0, 1, 2
Let h(k) = 4*k**2 + 42*k + 23. Let p be h(-10). Determine b, given that 0*b + 7/4*b**p + 0 + 1/2*b**2 = 0.
-2/7, 0
Let h(m) be the second derivative of m**7/1260 + m**6/180 + m**5/60 - m**4/6 + 3*m. Let v(o) be the third derivative of h(o). Factor v(d).
2*(d + 1)**2
Let o(a) = a**2 + 1. Let g(n) = -18*n**3 - 2 + 0 - n + 21*n**3. Suppose -f + 3*j - 2 - 1 = 0, 3*f = j - 9. Let z(u) = f*g(u) - 6*o(u). Factor z(b).
-3*b*(b + 1)*(3*b - 1)
Let q = -790 - -2393/3. Let u = 8 - q. Determine v, given that 0 - 2/3*v**4 + 1/3*v**5 + 0*v + u*v**3 + 0*v**2 = 0.
0, 1
Let o be (-10 - (4 + -3)) + 3. Let l = o + 10. Solve -y**l + 1 + y - 2 + 1 = 0.
0, 1
Let h(k) be the first derivative of -k**6/3 - 2*k**5/5 + 3*k**4 + 28*k**3/3 + 11*k**2 + 6*k + 15. Let h(z) = 0. What is z?
-1, 3
Let p(l) = l**2 - 4*l - 2. Let c = 13 - 8. Let i be p(c). Suppose 4/3*o**i - 2/3*o**2 + 0*o - 2/3*o**4 + 0 = 0. Calculate o.
0, 1
Let t(h) be the second derivative of -1/10*h**5 + 0*h**4 + 1/42*h**7 + 0 + 0*h**2 + 1/6*h**3 - 5*h + 0*h**6. Factor t(r).
r*(r - 1)**2*(r + 1)**2
Let i(m) be the third derivative of m**8/1848 - 13*m**7/1155 + 67*m**6/660 - 57*m**5/110 + 18*m**4/11 - 36*m**3/11 - m**2 + 35*m. Factor i(w).
2*(w - 3)**3*(w - 2)**2/11
Let u be (-9)/(3/1) + 39/12. Factor 0 + 0*z + u*z**2.
z**2/4
Let -6*w - w**2 - 5*w**2 + 6*w**3 + 8*w**2 + 2*w**4 - 4 = 0. What is w?
-2, -1, 1
Suppose -9*j**2 - j**3 + 7*j**2 - 2*j**2 = 0. What is j?
-4, 0
Let s be (-26)/(-4) - 3/(-2). Let p be 15/(-5) - (-26)/s. Determine r, given that 1/4*r**2 - p*r**3 + 0*r + 0 - 1/4*r**4 + 1/4*r**5 = 0.
-1, 0, 1
Let p(o) = -3*o**4 - 5*o**3 - 2*o**2 - 2. Let v(m) = -4*m**4 - 6*m**3 - 2*m**2 - 3. Let t(r) = 3*p(r) - 2*v(r). What is i in t(i) = 0?
-2, -1, 0
What is g in -g**2 + 17 + g**2 - 19 + 2*g**2 - 2*g**3 + 2*g = 0?
-1, 1
Let y(r) be the third derivative of -r**6/240 + r**5/40 - r**3/3 - 11*r**2. Suppose y(i) = 0. What is i?
-1, 2
Suppose 2*n + 4*w = 56, -5*n - 2*w + 170 - 38 = 0. Let k be -1 + 2 + n/14. Solve -2/7 - 32/7*d**4 - 80/7*d**3 - k*d - 66/7*d**2 = 0.
-1, -1/4
Let x be 5*1*(-2 + 72/30). Let i(q) be the first derivative of -2/3*q**3 - 4*q**x + 1 - 8*q. Factor i(t).
-2*(t + 2)**2
Suppose 14 = 3*z - 0*z - 2*u, 3*z + 1 = 5*u. Let f be (-10)/z*6/(-15). Factor 1/4 + f*h + 1/4*h**2.
(h + 1)**2/4
Let w(a) = 2*a + 6. Let o be w(6). Let -2*b**2 + 16*b**2 - 3*b - 10*b**4 - 4 + o*b**3 - 12*b**5 - 3*b = 0. What is b?
-1, -1/2, 2/3, 1
Suppose -b = 2*i + 8, -7*b - i + 5 = -2*b. Factor 2/7*r + 0 + 2/7*r**3 + 4/7*r**b.
2*r*(r + 1)**2/7
Factor -2*b**3 - 2*b**2 + 2*b**2 - b**2 + 0*b**2 - b**4.
-b**2*(b + 1)**2
Let b(y) = 18*y**4 - 42*y**3 - 11*y**2 + 47*y - 17. Let r(m) = -9*m**4 + 21*m**3 + 5*m**2 - 23*m + 8. Let l(s) = -2*b(s) - 5*r(s). Suppose l(c) = 0. What is c?
-1, 1/3, 1, 2
Let s(g) be the first derivative of -3/40*g**5 - 1 + 0*g**2 + 3*g - 1/2*g**3 - 3/8*g**4. Let p(t) be the first derivative of s(t). Factor p(u).
-3*u*(u + 1)*(u + 2)/2
Let j(a) be the third derivative of -a**8/1512 + a**6/270 - a**4/108 + 5*a**2. Factor j(h).
-2*h*(h - 1)**2*(h + 1)**2/9
Let k(z) be the second derivative of -z**8/5040 + z**7/2520 + z**6/540 + z**3/2 - 3*z. Let y(g) be the second derivative of k(g). Find t, given that y(t) = 0.
-1, 0, 2
Let h(w) be the second derivative of w**8/10080 - w**7/1890 + w**6/1080 + w**4/12 - 2*w. Let b(m) be the third derivative of h(m). What is k in b(k) = 0?
0, 1
Let w(i) be the first derivative of -3*i**4/16 + i**3/4 + 3*i**2/4 + 4. Let w(r) = 0. What is r?
-1, 0, 2
Let -36*r + 11 - 11*r**3 + 13 + 18*r**2 + 8*r**3 = 0. What is r?
2
Let z(t) be the third derivative of 1/40*t**6 - 5*t**2 + 1/10*t**5 + 0*t**3 + 1/8*t**4 + 0*t + 0. Factor z(m).
3*m*(m + 1)**2
Let i(b) be the third derivative of 3*b**6/160 + b**5/40 - 3*b**4/32 - b**3/4 + b**2. Let i(t) = 0. What is t?
-1, -2/3, 1
Let u be (2 + 1 + -3)*(1 + 0). Let w(f) be the first derivative of 3/8*f**2 - 1 + u*f - 1/4*f**3. Let w(r) = 0. Calculate r.
0, 1
Let a(w) be the first derivative of 28*w**3/3 + 4*w**2 - 4. Factor a(j).
4*j*(7*j + 2)
Suppose 5*x + i - 39 = -16, -5*i = -x - 11. Let w(o) be the third derivative of 0 - 1/3*o**3 + o**2 + 1/60*o**5 - 1/24*o**x + 0*o. Solve w(h) = 0 for h.
-1, 2
Let l(m) = -2*m**3 - 2*m**2 + m - 1. Let f be l(-2). Factor -4*k + k**5 + 10*k**2 - 6*k**3 + 4*k**4 - k**4 - 5*k**4 + k**f.
2*k*(k - 1)**3*(k + 2)
Let w be 39045/(-532) + 3*1. Let y = 285/4 + w. Factor y*x + 2/7*x**2 + 4/7.
2*(x + 1)*(x + 2)/7
Suppose -44 = -13*s + 2*s. Factor -s*f**2 + 4*f + 4/3*f**3 - 4/3.
4*(f - 1)**3/3
Let c(x) be the second derivative of -x**4/4 + 3*x**3 - 15*x**2/2 + 21*x. Solve c(k) = 0 for k.
1, 5
Let l be 4/(-6)*-9*(-35)/(-168). Determine n so that 0 - n**4 + 2*n**3 - l*n**2 + 1/4*n = 0.
0, 1/2, 1
Let g(k) be the second derivative of k**6/30 - 2*k**5/5 + 11*k**4/6 - 4*k**3 + 9*k**2/2 + 3*k. Suppose g(s) = 0. Calculate s.
1, 3
Let h(u) = -u**4 + u**3 + u - 1. Let k(s) = 12*s**5 + 68*s**4 + 118*s**3 + 111*s**2 + 40*s + 11. Let d(t) = 5*h(t) + k(t). Factor d(i).
3*(i + 1)**3*(i + 2)*(4*i + 1)
Let p(o) be the second derivative of o**7/5040 + o**6/720 + o**5/240 + o**4/6 + 2*o. Let n(t) be the third derivative of p(t). Determine m so that n(m) = 0.
-1
Let z(h) = -2*h**3 - 2*h**2 + 6*h - 3. Let m be z(-3). Suppose o - 3*l - 9 = 6*o, o + 5*l = -m. Factor o + 2/5*r + 9/5*r**2.
r*(9*r + 2)/5
Factor -3*c**4 + c**5 + 3*c**3 + 7*c**2 - 6*c**2 - 4*c**3 + 2*c**4.
c**2*(c - 1)**2*(c + 1)
Let o = -8 - -8. Let w(z) = 2*z + 2. Let a be w(o). Determine b so that 1/4 + 1/2*b + 1/4*b**a = 0.
-1
Let r(k) be the third derivative of 0 + 0*k + 1/60*k**5 - 1/6*k**3 + 0*k**4 + 3*k**2. Find t such that r(t) = 0.
-1, 1
Let j(i) be the first derivative of -i**3 + 15*i**2/2 + 45. Factor j(t).
-3*t*(t - 5)
Let o(g) = -g**2 - 10*g + 11. Suppose 4*q + 58 = -q - 3*t, -2*q - 19 = -3*t. Let s be o(q). Factor s*l**3 + 1/3*l**4 + 0 + 1/6*l**5 - 1/3*l**2 - 1/6*l.
l*(l - 1)*(l + 1)**3/6
Let r(c) be the second derivative of -c**8/168 - c**7/105 - 9*c**2/2 + 7*c. Let a(h) be the first derivative of r(h). Factor a(m).
-2*m**4*(m + 1)
Let c = 13730 + -97466/7. Let s = c + 194. Solve s*x + 0 + 0*x**2 - 2/7*x**3 = 0.
-1, 0, 1
Let m(n) be the second derivative of 3*n**4/16 - n**3 + 2*n**2 - 6*n. Suppose m(p) = 0. Calculate p.
4/3
Suppose -5*q - 63 + 66 = -3*d, -5 = 3*q + 5*d. Factor 0*o**2 + 0*o - 4/9*o**3 + q - 2/9*o**5 - 2/3*o**4.
-2*o**3*(o + 1)*(o + 2)/9
Let j(z) be the first derivative of z**5/60 - z**4/12 + z**3/6 + 7*z**2/2 - 4. Let x(y) be the second derivative of j(y). Solve x(s) = 0.
1
Solve 3*h**2 + 7 - 4 - 6*h**2 + 9 = 0.
-2, 2
Let a(p) = 5*p**2 - 4*p - 6. Let v(b) = 2*b**2 + 1 - b**2 + 0*b - 2 - b. Let t(j) = a(j) - 6*v(j). Find x, given that t(x) = 0.
0, 2
Let v(r) be the first derivative of -r**4/16 + r**3/6 - r**2/8 - 5. Let v(h) = 0. Calculate h.
0, 1
Let j(g) be the first derivative of -g**3/3 - g**2 - g - 9. Let j(s) = 0. Calculate s.
-1
Let z(v) = v + 21. Let h be z(-17). Let s be (0/h)/(-1 - 4). Suppose 0 + 1/4*w**2 + s*w + 1/4*w**4 - 1/2*w**3 = 0. What is w?
0, 1
Let x(a) be the second derivative of -a**6/10 - 9*a**5/20 - 3*a**4/4 - a**3/2 - 25*a. Find z such that x(z) = 0.
-1, 0
Let i(f) = f**2 - f - 1. Let t be (6/(-9))/((-1)/3). Let g(j) = 2*j**2 - 5*j**t + 3 + 7*j + 2*j**2. Let b(z) = -g(z) - 3*i(z). Let b(k) = 0. Calculate k.
-2, 0
Let c be 6/12*(2 - 1). Let o = -50 + 52. Let 1/2*k**o + 1/2*k - 1/2 - c*k**3 = 0. Calculate k.
-1, 1
Let s(x) be the first derivative of -3 + 0*x**4 + 4/15*x**3 - 4/25*x**5 + 0*x - 1/5*x**2 + 1/15*x**6. Factor s(p).
2*p*(p - 1)**3*(p + 1)/5
Let -42*l + 12*l**2 - 3*l**3 + 6 + 48*l - 21*l = 0