*4 = 0. What is t?
-2/5, -1/3, 1
Let k be -2*(-9)/6 - 1. What is a in -a + 8*a**2 - 5*a**2 - 5*a**k - a**3 = 0?
-1, 0
Let j(n) be the third derivative of -n**9/15120 + n**7/1260 - n**5/60 - 4*n**2. Let f(x) be the third derivative of j(x). Factor f(h).
-4*h*(h - 1)*(h + 1)
Let x(j) be the second derivative of 0*j**2 + 1/18*j**3 + 0 + 1/18*j**4 + 2*j - 7/60*j**5 + 2/45*j**6. Factor x(p).
p*(p - 1)**2*(4*p + 1)/3
Let w(z) be the third derivative of 9*z**2 + 0 + 0*z + 3/20*z**4 + 1/300*z**6 - 1/25*z**5 + 0*z**3. Factor w(q).
2*q*(q - 3)**2/5
Factor -3/7*u**3 - 6/7*u + 9/7*u**2 + 0.
-3*u*(u - 2)*(u - 1)/7
Let f(b) be the first derivative of -b**3/27 - 7*b**2/18 - 2*b/3 + 5. Determine y so that f(y) = 0.
-6, -1
Let h(y) = y**3 - 3*y**2 + y. Let x be h(3). Let g(b) be the third derivative of -1/540*b**6 + 0*b**x + 0 - 1/108*b**4 + 0*b + b**2 - 1/135*b**5. Factor g(j).
-2*j*(j + 1)**2/9
Let 0 + 1/5*r**5 - 1/5*r**4 - 1/5*r**3 + 1/5*r**2 + 0*r = 0. Calculate r.
-1, 0, 1
Find x, given that 0 + 6/5*x + 3/5*x**2 + 3/5*x**4 - 18/5*x**3 + 6/5*x**5 = 0.
-2, -1/2, 0, 1
Let t(v) be the first derivative of -50*v**3/3 + 45*v**2/2 + 5*v + 15. Factor t(r).
-5*(r - 1)*(10*r + 1)
Suppose -y + 12 = 2*m, -y + 11 = 5*m - 13. Let n be 3/m + (-77)/220. Solve -n*h**5 + 4/5*h**2 + 2/5 - 4/5*h**3 - 6/5*h**4 + 6/5*h = 0 for h.
-1, 1
Let r(a) be the first derivative of a**9/15120 - a**7/2100 + a**5/600 - 2*a**3/3 + 1. Let s(g) be the third derivative of r(g). Factor s(l).
l*(l - 1)**2*(l + 1)**2/5
Let t(g) = -6*g + 33. Let d be t(5). Solve -8/9*o**2 + 10/9*o**5 - 8/3*o**d + 0 - 2/3*o**4 + 0*o = 0.
-1, -2/5, 0, 2
Let a(n) = -n**2. Let z(h) = -4*h**2 - 12*h + 23. Let q(c) = -5*a(c) + z(c). Let p be q(10). Suppose -3*m**2 - 7/3*m**p + 4/3 + 4*m = 0. What is m?
-2, -2/7, 1
Let w(j) be the second derivative of -j**6/165 - j**5/110 + j**4/33 - 11*j. What is b in w(b) = 0?
-2, 0, 1
Determine w so that 0*w - 1/7*w**3 - 2/7*w**2 + 0 = 0.
-2, 0
Determine v, given that -4*v - 4*v**2 + 3*v - 3*v = 0.
-1, 0
Let k = 47 + -45. Let u(t) be the first derivative of 0*t - 2/3*t**3 + 0*t**4 - 3 + 1/3*t**k + 8/15*t**5. Suppose u(s) = 0. Calculate s.
-1, 0, 1/2
Let a(t) be the third derivative of 0*t + 1/16*t**4 + 3/80*t**5 + 1/160*t**6 + 0 + 0*t**3 + 4*t**2. Factor a(w).
3*w*(w + 1)*(w + 2)/4
Let a = 129 - 129. Factor 2/3*f**3 + a*f**2 + 0 - 2/3*f.
2*f*(f - 1)*(f + 1)/3
Let f(x) = x + 6. Let m be f(-11). Let z be 10/m*(-2 - 0). Factor 1/3 + 4/3*d + 4/3*d**3 + 1/3*d**z + 2*d**2.
(d + 1)**4/3
Let r be 5/3 - (-25)/(-15). Solve -2/7*y**4 - 2/7*y**3 + 0*y + 0 + r*y**2 = 0 for y.
-1, 0
Find n, given that -16/7*n**2 + 6*n + 2/7*n**3 - 36/7 = 0.
2, 3
Let g(a) = 7*a**2 - 3*a - 1. Let v(z) = 3*z**2 - z. Let d(l) = 4*g(l) - 9*v(l). Factor d(q).
(q - 4)*(q + 1)
Determine g, given that 524/3*g**2 - 98/3*g**4 - 328/3*g + 154/3*g**3 + 16 = 0.
-2, 2/7, 3
Let w(f) be the first derivative of -f**6/105 + f**5/35 - 2*f**3/21 + f**2/7 - f - 1. Let a(y) be the first derivative of w(y). Suppose a(n) = 0. Calculate n.
-1, 1
Suppose 2 = 3*c - 7. Let z(n) be the third derivative of -3*n**2 - 4/3*n**c - 1/30*n**5 - 1/3*n**4 + 0*n + 0. Factor z(y).
-2*(y + 2)**2
Solve 4*w**2 - 4*w - 24 - 2*w**2 + 26 = 0.
1
Suppose 0 = -u + 9 - 6. Factor p + u*p**4 - 6*p**3 + 9*p**3 + p - 5*p**3 - 4*p**2 + 1.
(p - 1)**2*(p + 1)*(3*p + 1)
Suppose -k + 5 = -0*k. Factor -4*j**4 + 2*j**4 - 5*j**3 + 3*j**3 + 2*j**2 - 16*j**5 + 18*j**k.
2*j**2*(j - 1)**2*(j + 1)
Let j(m) = m**3 + m**2 + 1. Let c(x) = 3*x**4 - 5*x**3 + 13*x**2 - 3*x + 4. Let u = 15 + -19. Let k(f) = u*j(f) + c(f). Factor k(t).
3*t*(t - 1)**3
Let w(f) = f + 8. Let x be w(-5). Factor 18*u**3 + 4*u**2 + 14*u**4 - 3*u**2 + 0*u**4 + x*u**2.
2*u**2*(u + 1)*(7*u + 2)
Suppose 3 + 67 = -7*r. Let u = -8 - r. Let -2/3*j**u + 4/9*j + 2/9 = 0. What is j?
-1/3, 1
Suppose 2*t + 19 = 5*o, 2*o + t = -4*t + 25. Let n = 10 - o. Factor -4*w - 5*w + w**2 - 1 + 4*w**3 + 0*w + n*w.
(w - 1)*(w + 1)*(4*w + 1)
Let s(a) be the second derivative of a**5/20 - 3*a**4/4 + 5*a**3/2 + 25*a**2/2 - 8*a - 2. Let s(k) = 0. Calculate k.
-1, 5
Suppose 1 = -j + 7. Let o(s) be the third derivative of 1/240*s**j + 2/3*s**3 + 1/20*s**5 + 0 + 1/4*s**4 + 0*s - s**2. Find q such that o(q) = 0.
-2
Solve -3*d + 2*d**2 - 3*d + 2*d - 2*d + 4 = 0.
1, 2
Let r(j) be the second derivative of -j**4/4 + j**3 + 9*j**2/2 - 20*j. Let r(w) = 0. Calculate w.
-1, 3
Suppose 0 = 2*c + 15 - 3. Let t be (-2)/c - (-60)/252. Factor -2/7 - 2/7*q**2 - t*q.
-2*(q + 1)**2/7
Factor -6 + 2 - 48*a**2 + 44*a**2 - 8*a.
-4*(a + 1)**2
Suppose 7*t - 2*t = 15. Suppose -t*i + 4*w - 6 = -w, i - 4*w = -9. Factor -9*o + 1 - 8 - i*o**2 + 0 + 1.
-3*(o + 1)*(o + 2)
Let d(i) = i**2 + 11*i + 27. Let x be d(-8). Factor -2/3*w**4 + 8/3 - 16/3*w + 2/3*w**2 - 2/3*w**5 + 10/3*w**x.
-2*(w - 1)**3*(w + 2)**2/3
Let v(x) be the third derivative of -x**5/180 + x**4/12 - x**3/2 + 3*x**2. Factor v(r).
-(r - 3)**2/3
Let x(b) be the first derivative of 1/6*b**3 + 2*b + 1 - b**2. Factor x(i).
(i - 2)**2/2
Let g(w) = -w**3 + 9*w**2 + w - 4. Let y be g(9). Let k = -2 + y. Solve 2*m - m**2 - m - 2*m - 1 + k*m = 0.
1
Let g be 0/1 - 45/(-5). Suppose 24 = 3*a + g. Solve 0*x - 3/4*x**a + 0*x**4 + 3/4*x**3 + 0 + 0*x**2 = 0.
-1, 0, 1
Let s(q) be the second derivative of -q**7/1260 - q**6/360 + q**4/4 + 2*q. Let c(o) be the third derivative of s(o). What is i in c(i) = 0?
-1, 0
Let b = -4 - -8. Let g be -1 - 5 - 70/(-11). Let -14/11*c**2 + 0 + 14/11*c**b - 4/11*c + g*c**3 = 0. Calculate c.
-1, -2/7, 0, 1
Let z(m) be the first derivative of m + 1 + 3/2*m**2 + m**3 + 1/4*m**4. Suppose z(x) = 0. Calculate x.
-1
Let t(r) be the third derivative of -r**6/240 + r**5/60 - r**4/48 - 5*r**2. Suppose t(l) = 0. Calculate l.
0, 1
Let f = 24 + -14. Suppose -f = 4*y - y + 4*r, -2*y - 3*r - 8 = 0. Factor -y*m**3 + 4/5*m + 0 - 6/5*m**2.
-2*m*(m + 1)*(5*m - 2)/5
Let f(v) be the third derivative of -v**6/1620 + v**5/270 - v**4/108 + v**3/2 + 3*v**2. Let r(q) be the first derivative of f(q). Factor r(m).
-2*(m - 1)**2/9
Determine x, given that -90*x**2 + 7*x**5 + 8 + 16*x**4 - 16*x**3 - x**3 + 56*x**2 + 20*x = 0.
-2, -2/7, 1
Let v(w) be the first derivative of -w**8/210 + w**7/84 - w**6/180 - w**3/3 - 2. Let x(j) be the third derivative of v(j). Factor x(n).
-2*n**2*(n - 1)*(4*n - 1)
Solve -2/11*p**2 + 0 + 0*p = 0.
0
Let f(s) = 9*s**3 - s**2 - 5*s - 5. Suppose -5*y + 9 + 16 = 0. Let l(z) = -5*z**3 + z**2 + 3*z + 3. Let o(x) = y*l(x) + 3*f(x). Find n, given that o(n) = 0.
-1, 0
Let i be 3/(-12) + (-35)/4. Let c be (i - -1)*1/(-2). Suppose -1/4*y + 0 + 1/4*y**c + 3/4*y**2 - 3/4*y**3 = 0. What is y?
0, 1
Let u(o) be the second derivative of -o**4/28 + o**3/14 + 3*o**2/7 - 3*o. Factor u(f).
-3*(f - 2)*(f + 1)/7
Suppose 5 = -2*b + b, -b + 1 = 3*c. Solve -3/5 - 3/5*k**c + 6/5*k = 0 for k.
1
Let h be (-162)/(-60) + (-3)/2. Let i = -2/275 + 222/275. Factor 2/5*d + h*d**2 - i.
2*(d + 1)*(3*d - 2)/5
Let v be 0*3/9*3. Suppose v = -5*c + 10 + 5. What is u in 3*u**3 + 2*u**2 - 2*u - 5*u**c + 2*u = 0?
0, 1
Let g(u) be the second derivative of 2*u**6/15 - 3*u**5/2 + 23*u**4/6 + 8*u**3 - 16*u**2 - 6*u. Determine y, given that g(y) = 0.
-1, 1/2, 4
Determine f so that -2/3*f + 2/3*f**3 + 0 + 0*f**2 = 0.
-1, 0, 1
Let i(b) be the third derivative of -b**5/390 - 7*b**4/78 - 49*b**3/39 + 19*b**2. Find g, given that i(g) = 0.
-7
Let l be (3 + (-74)/24)*-4. Find z, given that -l*z**3 + 0 + 1/3*z**2 + 2/3*z = 0.
-1, 0, 2
Let s(d) be the second derivative of -1/12*d**3 - 3*d + 0 + 1/8*d**2 + 1/48*d**4. Suppose s(c) = 0. Calculate c.
1
Let z(f) be the first derivative of 4/21*f**6 + 34/35*f**5 + 44/21*f**3 + 2/7*f + 8 + 2*f**4 + 8/7*f**2. What is q in z(q) = 0?
-1, -1/4
Let w(q) be the third derivative of -q**6/75 - q**5/15 - 2*q**4/15 - 2*q**3/15 + 4*q**2. Let w(a) = 0. What is a?
-1, -1/2
Let b(g) be the third derivative of 0*g**4 + 0 + 4*g**2 + 0*g**3 + 1/60*g**6 + 0*g + 0*g**5. Let b(f) = 0. What is f?
0
Let n be -2 + 5 - (2 + -2). Let b be (-3 + n)/(0 + 2). Factor -2/7 - 2/7*t**4 + 0*t**3 + 4/7*t**2 + b*t.
-2*(t - 1)**2*(t + 1)**2/7
Solve -40/7*t + 16/7 + 25/7*t**2 = 0 for t.
4/5
Determine y so that 0*y + 2/11*y**2 - 8/11 = 0.
-2, 2
Factor 6/11*v + 0 - 2/11*v**2.
-2*v*(v - 3)/11
Suppose -8*v**2 + 3*v**4 + 24*v**3 + 35*v**2 - 42*v