*r**2 + 0*r**4 + 0*r**6 + 0*r**5 - 1/168*r**8 + z*r + 0*r**7 + 0*r**3 + 0. What is g in v(g) = 0?
0
Let y(c) be the first derivative of c**3/7 - 6*c**2/7 + 9*c/7 + 6. Suppose y(z) = 0. Calculate z.
1, 3
Let h(f) be the first derivative of 0*f**2 - 3 + 2/3*f**3 + 0*f. Find s such that h(s) = 0.
0
Let o(c) be the third derivative of -c**5/70 + c**4/21 + 4*c**3/21 - 2*c**2. Solve o(d) = 0.
-2/3, 2
Let u(n) be the third derivative of -2*n**7/35 - n**6/15 + 3*n**5/5 + 2*n**4 + 8*n**3/3 + 8*n**2. Let u(h) = 0. Calculate h.
-1, -2/3, 2
Let m be (52/39)/((-2)/3). Let s be m/(-12) - 2/(-6). Factor -a**2 - 1/2*a**3 + 0 - s*a.
-a*(a + 1)**2/2
Let g(d) be the first derivative of d**4/4 - d**3/3 - d**2/2 + d - 17. What is f in g(f) = 0?
-1, 1
Let y(n) be the first derivative of 1/3*n**3 - 1/16*n**4 + 0*n + 3 - 1/2*n**2. Let y(c) = 0. What is c?
0, 2
Let o be (-4)/20*(-4)/(12/5). Factor 0 + 1/3*c - o*c**3 + 0*c**2.
-c*(c - 1)*(c + 1)/3
Let a = 10351/4604 + 2/1151. Factor 1/2*r**3 + 9/4*r**2 - 1/2*r + 0 - a*r**4.
-r*(r - 1)*(r + 1)*(9*r - 2)/4
Let r be (-2)/3 + 20*(-16)/(-336). Factor 8/7 + 10/7*a**2 + r*a**3 + 16/7*a.
2*(a + 1)*(a + 2)**2/7
Let j(s) be the third derivative of 0*s**3 + 3*s**2 - 1/12*s**4 + 1/30*s**5 + 0*s + 0. Factor j(c).
2*c*(c - 1)
Solve -4/5 + 32/5*m - 12*m**2 = 0 for m.
1/5, 1/3
Let o(b) be the second derivative of b**4/12 + 2*b**3/3 + 3*b**2/2 - 12*b. Suppose o(r) = 0. Calculate r.
-3, -1
Let h(a) be the second derivative of 0 + 6*a + 0*a**2 - 1/10*a**5 - 2/3*a**4 - 4/3*a**3. Factor h(c).
-2*c*(c + 2)**2
Let t(n) be the first derivative of n**6/1800 - n**5/600 - 2*n**3 - 8. Let j(k) be the third derivative of t(k). Factor j(x).
x*(x - 1)/5
Suppose n + 17 = -u - 4*n, 2*n - 10 = 2*u. Let i = 10 + u. Factor -w**3 + w**i + 2*w**3.
2*w**3
Let x(v) be the first derivative of 4*v**5/5 + v**4 - 4*v**3/3 - 2*v**2 - 7. Find u such that x(u) = 0.
-1, 0, 1
Let u be 1/(((-2)/8)/(-1)). Suppose 8*o + k - 256 = 3*o, u*o - 192 = -4*k. Factor -3 + 25*w - 98*w**2 - 21*w + o*w - 5.
-2*(7*w - 2)**2
Let h = 5247 + -15229/3. Let s = h + -169. Factor 0 - s*m**3 - 2/3*m**2 + 0*m.
-m**2*(5*m + 2)/3
Let a = 7 - 33/5. Factor a + 2/5*q**3 - 2/5*q**2 - 2/5*q.
2*(q - 1)**2*(q + 1)/5
Let n(r) = -2*r**2 + 4*r. Let d(t) = -3*t**2 + 6*t. Let h(z) = -5*d(z) + 7*n(z). Let h(f) = 0. Calculate f.
0, 2
Let c(r) be the third derivative of -25*r**8/48 - 23*r**7/21 + 79*r**6/24 + 19*r**5/6 - 55*r**4/6 + 20*r**3/3 + 19*r**2. Suppose c(b) = 0. What is b?
-2, -1, 2/7, 2/5, 1
Let b be 21 + (0 - 4 - -2). Let o = b + -56/3. Let 0 + a**2 - o*a**3 - 2/3*a = 0. Calculate a.
0, 1, 2
Let z be (6 - 1)*(8 + (-198)/25). Solve 6/5*m**4 + z*m**5 + 0*m + 2/5*m**2 + 0 + 6/5*m**3 = 0.
-1, 0
Suppose 3/4*x**2 - 3/8 + 0*x**3 + 0*x - 3/8*x**4 = 0. What is x?
-1, 1
Determine j so that 24*j**4 - 3*j**3 - 40*j**5 - j**3 + 4*j**5 = 0.
0, 1/3
Let q(o) be the first derivative of o**4/8 + o**3/6 - o**2 - 2*o - 10. Determine z so that q(z) = 0.
-2, -1, 2
Let a(b) be the first derivative of b**4/30 - b**3/5 + 2*b**2/5 + b - 2. Let h(d) be the first derivative of a(d). Suppose h(i) = 0. What is i?
1, 2
Suppose 28 = 4*p + p - w, 2*p - 5*w - 25 = 0. Factor 0*g + 0 + 0*g**4 + 6/7*g**3 - 4/7*g**2 - 2/7*g**p.
-2*g**2*(g - 1)**2*(g + 2)/7
Suppose -m = 4 - 2. Let y = 2 - m. Let 3*g - 3*g**2 - y*g + 2*g + 2*g**2 = 0. What is g?
0, 1
Let n(w) be the first derivative of -1/150*w**5 + 0*w + 0*w**3 + 1/2*w**2 + 0*w**4 + 1. Let a(m) be the second derivative of n(m). Factor a(h).
-2*h**2/5
Let y be 1/(3/9) + -1. Suppose -w + y = -0*w. Factor -t**w + 4*t**4 + 3*t**3 + 2 - 2.
t**2*(t + 1)*(4*t - 1)
Let y(r) be the first derivative of -r**4 - 4*r**3/3 - 20. What is h in y(h) = 0?
-1, 0
Let u(m) be the second derivative of -2*m**3/3 + 14*m**2 + 13*m. Let k be u(7). Factor 2/3*t**5 + 0 - 2/3*t**3 + 2/3*t**2 - 2/3*t**4 + k*t.
2*t**2*(t - 1)**2*(t + 1)/3
Let z(l) be the first derivative of 0*l**3 + 8 + 1/6*l**4 + 1/3*l - 1/15*l**5 - 1/3*l**2. Find m, given that z(m) = 0.
-1, 1
Let j(k) be the third derivative of -k**6/24 - k**5/6 - 5*k**4/24 - 7*k**2. Find i, given that j(i) = 0.
-1, 0
Let d(i) = 17*i**3 + 5*i**2. Let s(l) = -6*l**3 - 2*l**2. Let q(g) = -4*d(g) - 11*s(g). Factor q(r).
-2*r**2*(r - 1)
Let f = 32 + -24. Let l(d) be the third derivative of 1/30*d**5 + 1/18*d**4 + 0*d**3 - 1/60*d**6 - 1/168*d**f - 1/45*d**7 + 0 + 0*d - d**2. Factor l(r).
-2*r*(r + 1)**3*(3*r - 2)/3
Suppose 4*z - 3*z = 3, 4*d + 12 = 4*z. Find s, given that -2/7*s - 4/7*s**2 - 2/7*s**3 + d = 0.
-1, 0
Let v(m) = 4*m**3 - 4*m**2 - 6*m. Let f(i) = -4*i**3 + 4*i**2 + 5*i. Let r(x) = -2*f(x) - 3*v(x). Determine t so that r(t) = 0.
-1, 0, 2
What is u in 3*u - 7*u - 2*u**2 - 2*u**2 = 0?
-1, 0
Let h(u) be the first derivative of 1/9*u**3 - 1 - 1/90*u**5 + 0*u**4 + 1/2*u**2 + 0*u. Let d(o) be the second derivative of h(o). Factor d(v).
-2*(v - 1)*(v + 1)/3
Let h be 1 + (0 - (1 + -2)). Let r(z) = -z + 4. Let c be r(4). Solve 0*t**2 + t**h - t + c*t = 0 for t.
0, 1
Let x(y) = -y**3 - 13*y**2 - y - 10. Let s be x(-13). Let v(l) be the first derivative of 1/5*l**2 - 3 + 4/5*l - 2/15*l**s. Determine g so that v(g) = 0.
-1, 2
Let y = 10 + -7. Suppose -2*j + 4*j = 0. Factor 0 + j*m - 1/2*m**y - m**4 + 0*m**2 - 1/2*m**5.
-m**3*(m + 1)**2/2
Let s = -244 + 246. Factor -d**s + 1/3*d**3 + 2/3*d + 0.
d*(d - 2)*(d - 1)/3
Let x = 4643/4 - 4274/3. Let q = 1149/4 + x. Suppose 4/3 - 28/3*n + 23*n**2 + 25/3*n**4 - q*n**3 = 0. What is n?
2/5, 1
Let a be 4/22 - 5814/33. Let f be (-120)/a - (-4)/(-22). Determine g, given that 0 + 1/2*g - f*g**2 = 0.
0, 1
Let g(z) be the first derivative of -3/2*z**4 + 3*z + 0*z**3 + 3*z**2 - 5 - 3/5*z**5. Factor g(x).
-3*(x - 1)*(x + 1)**3
Let p be (-28)/(-12) + (-3)/9. Factor 2/7*x**3 + 4/7 - 4/7*x**p - 2/7*x.
2*(x - 2)*(x - 1)*(x + 1)/7
Let t be 30/20 - (-14)/(-12). Factor 0*x + 0*x**2 + 0 + t*x**3 + 1/3*x**4.
x**3*(x + 1)/3
Solve -392/17 + 56/17*s - 2/17*s**2 = 0.
14
Let g be 2 - (324/100 + -1). Let m = g - -87/50. Find s, given that -3/2*s - m*s**2 + 0 = 0.
-1, 0
Let r = -1423/10 - -287/2. Factor r*o**2 - 2/5 - 4/5*o.
2*(o - 1)*(3*o + 1)/5
Let u(s) be the second derivative of 2*s**7/21 - 2*s**6/5 - s**5/5 + 7*s**4/3 - 8*s**2 - 2*s. Determine k, given that u(k) = 0.
-1, 1, 2
Let p = -78 + 161/2. Let m be (-1)/(-2*2/8). Factor 2*x**m - p*x + 1/2.
(x - 1)*(4*x - 1)/2
Suppose -3*t - 5*u + 15 = 0, 5*u - 32 = -5*t - 7. Let w be (-3)/(-4)*-2*-2. Solve 0 + 0*q + 2/7*q**t + 0*q**2 + 0*q**w - 2/7*q**4 = 0 for q.
0, 1
Let t(a) = 7*a**2 - a - 1. Let y(h) = -h**2 + h - 1. Suppose 0*o + 3*m = o + 1, -4*m - 17 = -5*o. Let s(z) = o*y(z) + t(z). Suppose s(g) = 0. Calculate g.
-3, 1
Suppose 2*v - 1 = 5*v - o, 5*v - 2*o = -3. Let p be v/(-7) - 45/(-21). What is f in -f**2 - f**3 - f - 5*f**2 + 0*f**3 + 4*f**p = 0?
-1, 0
Factor 4/7*g**3 - 20/7*g - 12/7 - 4/7*g**2.
4*(g - 3)*(g + 1)**2/7
Let l be 0/2*(-3)/9. Factor 4/5*k**3 + 0*k**4 + 0*k**2 - 2/5*k - 2/5*k**5 + l.
-2*k*(k - 1)**2*(k + 1)**2/5
Let s(y) be the second derivative of 1/98*y**7 - 3/140*y**5 + 7*y + 1/70*y**6 + 0 + 0*y**3 + 0*y**2 - 1/28*y**4. Factor s(n).
3*n**2*(n - 1)*(n + 1)**2/7
Let p = -324 + 326. Solve -1/2*g**p + 2*g - 2 = 0.
2
Suppose -66*r = -74*r + 24. Factor 0 + 18/7*i**r - 2*i**2 - 4/7*i.
2*i*(i - 1)*(9*i + 2)/7
Let a(x) be the first derivative of -1/18*x**4 + 3 + 8/27*x**3 + 4/9*x - 5/9*x**2. Factor a(t).
-2*(t - 2)*(t - 1)**2/9
Let l(q) be the third derivative of q**8/1680 - q**6/300 + q**4/120 - 18*q**2. Determine w so that l(w) = 0.
-1, 0, 1
Let p(n) be the third derivative of -4/9*n**3 + 1/180*n**6 + 0 - 3*n**2 + 1/30*n**5 + 0*n**4 + 0*n. Factor p(x).
2*(x - 1)*(x + 2)**2/3
Let c(l) be the third derivative of -5*l**8/336 + l**7/42 + l**6/24 - l**5/12 + 7*l**2. Determine v, given that c(v) = 0.
-1, 0, 1
Let i(p) be the first derivative of -p**3/18 + p**2/6 + 4*p/3 + 3. Let i(m) = 0. What is m?
-2, 4
Let f(g) be the second derivative of 2*g**6/15 - 3*g**5/5 - 5*g. Factor f(y).
4*y**3*(y - 3)
Let n(y) be the second derivative of 0*y**6 - 7*y + 0*y**2 + 0*y**4 + 0 + 0*y**3 - 1/40*y**5 + 1/84*y**7. Factor n(h).
h**3*(h - 1)*(h + 1)/2
Let f = -1 + 6. Let r = -8 - -11. Suppose r*z**3 - f*z**3 + 2*z**2 + 2*z**5 - 3*z**4 + z**4 = 0. Calculate z.
-1, 0, 1
Let a be 3/(-18) - 98/(-12). Find l su