*g**5 = 0.
-1, 0, 1
Suppose -2*d - 4*j + 12 = 0, d - 3 = -5*j + 12. Factor 2/9*g + d - 2/9*g**2.
-2*g*(g - 1)/9
Let w(q) = q**4 + q**3 - q**2 - q. Let u(o) = 8*o**4 + 6*o**3 - 17*o**2 + 3*o. Let s(a) = -2*u(a) + 2*w(a). Let s(d) = 0. Calculate d.
-2, 0, 2/7, 1
Let t(k) = -k**5 + 11*k**4 + 12*k**3 + 5*k - 5. Let r(l) = 2*l**5 - 16*l**4 - 18*l**3 - 7*l + 7. Let i(o) = 5*r(o) + 7*t(o). Factor i(b).
3*b**3*(b - 2)*(b + 1)
Let o = 45 + -224/5. Let s be (1/10)/(11/22). Let 1/5*z**2 - s - 1/5*z**3 + o*z = 0. Calculate z.
-1, 1
Suppose -12*c**4 + 13*c**3 + 14*c**2 - 4*c**3 + 5*c - 14*c - 2*c**2 = 0. What is c?
-1, 0, 3/4, 1
Let x(u) be the first derivative of u**6/480 + u**5/240 - u**4/96 - u**3/24 - 2*u**2 - 4. Let r(s) be the second derivative of x(s). Let r(v) = 0. What is v?
-1, 1
Let r be (-1)/(-4) + (-2)/(-8). Let g = 102 - 203/2. Factor g*u**2 - r + 0*u.
(u - 1)*(u + 1)/2
Let z(p) be the third derivative of p**7/42 + p**6/24 - 5*p**5/12 + 5*p**4/8 - 14*p**2. Determine r, given that z(r) = 0.
-3, 0, 1
Let h(o) be the third derivative of -o**6/360 + o**5/30 - o**4/9 + 43*o**2. Suppose h(m) = 0. What is m?
0, 2, 4
Let q(t) be the third derivative of -t**8/20160 - t**7/1680 - t**6/360 - t**5/60 + t**2. Let y(g) be the third derivative of q(g). Factor y(p).
-(p + 1)*(p + 2)
Let x be -1 + -1 + 20/5. Let d be (-2 - (-22)/10)*2. Factor -d*g**4 + 2/5*g**3 - 2/5*g**5 + 0 + 0*g + 2/5*g**x.
-2*g**2*(g - 1)*(g + 1)**2/5
Factor 4/5*g**5 - 4/5*g**4 - 12/5*g**3 + 4*g**2 + 0 - 8/5*g.
4*g*(g - 1)**3*(g + 2)/5
Let x(q) be the third derivative of -q**8/1176 - 11*q**7/2940 - q**6/180 - q**5/420 + q**3 - 9*q**2. Let v(y) be the first derivative of x(y). Factor v(d).
-2*d*(d + 1)**2*(5*d + 1)/7
Let s = 316 - 313. Let 0*f + 0*f**s + 2/5 - 4/5*f**2 + 2/5*f**4 = 0. Calculate f.
-1, 1
Let b(i) = -6*i**5 - 3*i**4 + 15*i**3 - 15*i**2 - 9*i. Let v(l) = -3*l**5 - l**4 + 7*l**3 - 7*l**2 - 4*l. Let o(m) = 4*b(m) - 9*v(m). Factor o(q).
3*q**2*(q - 1)**2*(q + 1)
Suppose 0*y = -5*y. Let b(u) be the second derivative of -7/54*u**4 + y*u**2 + 0 + 2*u + 2/45*u**5 - 2/27*u**3. Factor b(x).
2*x*(x - 2)*(4*x + 1)/9
Let z(d) be the third derivative of -d**6/540 - d**5/90 - d**4/54 + 8*d**2. Suppose z(t) = 0. Calculate t.
-2, -1, 0
Let g(b) be the first derivative of 1/4*b**4 + 1 - 3/4*b**2 + 1/2*b + 1/3*b**3 + 1/12*b**6 - 3/10*b**5. Suppose g(v) = 0. Calculate v.
-1, 1
Let k(b) be the second derivative of b**7/105 - b**5/50 - 4*b. Determine s, given that k(s) = 0.
-1, 0, 1
Let d(l) be the third derivative of l**5/12 - 5*l**4/24 - 5*l**3 - 21*l**2. Solve d(z) = 0.
-2, 3
Determine k so that 0*k**2 - k + 2*k**2 - 20*k**3 - 34*k**2 + 17*k = 0.
-2, 0, 2/5
Let v be 16/(-6)*(-27)/(-12). Let i be (-20)/v*(-2)/(-10). Factor 2/3*x + 0 - i*x**2.
-2*x*(x - 1)/3
Let k = -2/111 + -91/1110. Let f = 3/10 - k. What is x in f*x - 4/5*x**3 + 0*x**4 + 0*x**2 + 0 + 2/5*x**5 = 0?
-1, 0, 1
Suppose -6 = -4*k + 2. Suppose k*t = 7*t - 10. Determine d, given that -t*d - 3*d**2 + 3*d + d**3 + 5*d**2 = 0.
-1, 0
Let r be (15 + -14)*(1 - 1). Suppose r + 2/7*x + 2/7*x**2 = 0. Calculate x.
-1, 0
Let y be 0*-2*1/8. Let 4/7*c + 0*c**3 + y - 2/7*c**4 + 6/7*c**2 = 0. What is c?
-1, 0, 2
Let d(s) = 5*s**5 - 5*s**4 + 3*s**3 + 5*s**2 - 4*s + 4. Let k(o) = -14*o**5 + 14*o**4 - 8*o**3 - 14*o**2 + 11*o - 11. Let u(w) = 11*d(w) + 4*k(w). Factor u(f).
-f**2*(f - 1)**2*(f + 1)
Let a(h) be the second derivative of 1/30*h**3 + 0 + 1/5*h**2 + 2*h - 1/60*h**4. Factor a(w).
-(w - 2)*(w + 1)/5
Suppose -26 = -6*u - 2. Factor 6 - i**2 + 3*i**3 - 4*i**4 - 4*i + i**u - 11*i + 10*i**2.
-3*(i - 1)**3*(i + 2)
Let w be 22 + -9 + (-2 - -3). Determine g, given that w*g**2 - 16*g + 8/3 - 10/3*g**3 = 0.
1/5, 2
Let m = 8/23 + 22/69. Let p be (-2)/(-6) + -2 + 3. Solve -2*i**2 + 0 + m*i + p*i**3 = 0.
0, 1/2, 1
Let q(x) be the second derivative of x**5/60 + x**4/6 + 2*x**3/3 + 4*x**2/3 - 5*x. Factor q(g).
(g + 2)**3/3
Let f = 106 - 211/2. Factor 0*b**3 + 0 + 1/4*b - f*b**4 + 1/2*b**2 - 1/4*b**5.
-b*(b - 1)*(b + 1)**3/4
Let c(s) be the second derivative of s**7/6300 - s**6/900 + s**5/300 + s**4/6 - 5*s. Let w(l) be the third derivative of c(l). Let w(q) = 0. Calculate q.
1
Let o = -2 - -5. Suppose 0 = o*c + c. Factor c + 1/4*y**3 + 1/4*y + 1/2*y**2.
y*(y + 1)**2/4
Suppose 4/3*h**4 + 0 - 4/3*h**2 + 0*h + 4*h**3 - 4*h**5 = 0. Calculate h.
-1, 0, 1/3, 1
Factor -30*x**3 + 60*x**3 - 35*x**3 - 4*x**2 - x**2.
-5*x**2*(x + 1)
Let u(q) be the third derivative of 1/84*q**4 - 1/420*q**6 + 0 + 0*q - 1/7*q**3 + 1/70*q**5 - q**2. Determine w so that u(w) = 0.
-1, 1, 3
Let h = 2 - -1. Find i, given that 2*i + 5*i**2 - i + i**3 - h*i**2 = 0.
-1, 0
Let i(u) = -3*u - 7. Let l be i(-3). Let y(n) be the second derivative of -1/3*n**3 + 0*n**6 + 1/5*n**5 + 0 + l*n - 1/21*n**7 + 0*n**4 + 0*n**2. Factor y(p).
-2*p*(p - 1)**2*(p + 1)**2
Factor 12 - 29*m**3 - 57*m**2 + 17*m**3 - 19*m - 14*m.
-3*(m + 1)*(m + 4)*(4*m - 1)
Let l = 617/2 - 308. Factor 3/2*d**2 + 5/2*d - 1/2*d**3 + 1 - l*d**4.
-(d - 2)*(d + 1)**3/2
Let k(j) = 2*j - 6. Let u be k(4). Suppose 0 = -u*o - 3*t - 10 + 26, -3*t - 50 = -4*o. Factor -16 + o*c - 972*c**2 + 1458*c**3 + 249*c - 44*c.
2*(9*c - 2)**3
Let v(w) be the second derivative of w**7/1050 - w**6/600 - w**5/100 + w**4/120 + w**3/15 - w**2 - w. Let r(f) be the first derivative of v(f). Factor r(h).
(h - 2)*(h - 1)*(h + 1)**2/5
Suppose 6*q = -0*q + 7*q. Determine a, given that q - 1/4*a**3 + 1/2*a**4 + 0*a**2 - 1/4*a**5 + 0*a = 0.
0, 1
Let h(x) = -9*x**5 - 29*x**4 + 11*x**3 + 18*x**2 + 9*x + 11. Let b(c) = -3*c**5 - 10*c**4 + 4*c**3 + 6*c**2 + 3*c + 4. Let u(l) = 11*b(l) - 4*h(l). Factor u(a).
3*a*(a - 1)*(a + 1)**3
Let k(f) = 3*f. Let c be k(1). Suppose -3*y - 5*y**2 - c*y**5 + 3 - y**2 + 3*y**4 + 6*y**3 + 0*y**4 = 0. Calculate y.
-1, 1
Let q(c) be the first derivative of c**5/120 + c**4/24 + c**3/12 - c**2 - 2. Let y(j) be the second derivative of q(j). Solve y(v) = 0 for v.
-1
Let a(o) = -4*o**3 + 4*o**2 - 6*o + 7. Let c(y) = -y**3 - y + 1. Let w(p) = 2*a(p) - 14*c(p). Factor w(q).
2*q*(q + 1)*(3*q + 1)
Let s be (7/(-4))/(77/(-66)). Suppose s*r + 0 + 0*r**2 - 3/2*r**3 = 0. What is r?
-1, 0, 1
Let n = 0 - -3. Let z(a) = -3*a**2 - 2. Let k(g) = -8*g**2 - 6. Let o(f) = n*k(f) - 10*z(f). Let l(h) = -11*h**2 - 3. Let m(q) = 4*l(q) + 7*o(q). Factor m(s).
-2*(s - 1)*(s + 1)
Let h(j) be the third derivative of -j**6/1200 - j**5/150 - j**4/48 - j**3/30 - j**2. What is a in h(a) = 0?
-2, -1
Let r = -185/3217 - -1155559/1801520. Let v = r + -1/80. Factor v*g**2 - 2/7*g**4 + 0*g**3 - 2/7 + 0*g.
-2*(g - 1)**2*(g + 1)**2/7
Let x = 115 + -447/4. Factor x*m**2 + 1 - 3*m + 1/4*m**4 - 3/2*m**3.
(m - 2)**2*(m - 1)**2/4
Let g(o) be the third derivative of -1/70*o**7 + 0*o**3 + 0*o**6 + 6*o**2 + 0*o + 1/20*o**5 + 0 + 0*o**4. Determine w, given that g(w) = 0.
-1, 0, 1
Let o(r) = 8*r + 68. Let x be o(-8). Find w such that -4/7*w + 0 - 2*w**2 - 6/7*w**x - 16/7*w**3 = 0.
-1, -2/3, 0
Let x(k) be the third derivative of k**9/30240 + k**8/3360 + k**7/1260 - k**4/6 + k**2. Let d(l) be the second derivative of x(l). Let d(p) = 0. Calculate p.
-2, 0
Let g(s) = 6*s**2 + 14*s + 10. Let k be 2/(-5) + 48/(-30). Let d(j) = 19*j**2 + 41*j + 29. Let v(l) = k*d(l) + 7*g(l). Factor v(w).
4*(w + 1)*(w + 3)
Let y(c) be the second derivative of -1/60*c**5 + 1/18*c**3 + 0 + 1/36*c**4 - 1/6*c**2 - 5*c. Find a such that y(a) = 0.
-1, 1
Suppose 6 = 3*j - 0. Suppose 3 - 29 = -2*u - 4*h, -2*h = -4*u + 2. Factor o**2 + 0*o**j + u*o - o + 0*o.
o*(o + 2)
Suppose -5*m + 14 = -1. Let z(c) be the second derivative of 1/30*c**5 + 0*c**m + 1/6*c**2 - c + 0 - 1/12*c**4. Factor z(n).
(n - 1)**2*(2*n + 1)/3
Let n be (-20)/6*9/6. Let j be -3 + 4 - (-1)/n. Factor j + 6/5*v**3 + 14/5*v + 16/5*v**2.
2*(v + 1)**2*(3*v + 2)/5
Suppose -4*s - 3*l + 11 = -0*s, 0 = 3*s - 2*l - 4. Factor 10*r**4 - 12*r**3 - 8*r**4 + 24*r**s + 0*r**3 - 16*r.
2*r*(r - 2)**3
Let i be (1 - (6 + (-210)/24))/3. Suppose 0*v**2 + 3/4*v**5 - i*v**4 + 1/2*v**3 + 0 + 0*v = 0. Calculate v.
0, 2/3, 1
Let v(q) be the second derivative of 2*q**6/105 - 2*q**4/21 + 2*q**2/7 - 2*q. Let v(j) = 0. Calculate j.
-1, 1
Let w(h) be the third derivative of h**8/2520 - 4*h**7/1575 + h**6/180 - h**5/225 - 17*h**2. Factor w(k).
2*k**2*(k - 2)*(k - 1)**2/15
Let y(x)