h) be the first derivative of 6/7*h + 7 - 3/14*h**2 - 1/7*h**3. What is d in s(d) = 0?
-2, 1
Let i = -27 - -163/6. Let r(z) be the second derivative of -2*z - 1/36*z**4 + 0 + 0*z**3 + i*z**2. Factor r(a).
-(a - 1)*(a + 1)/3
Suppose 2*d - 6*c + c = -15, 4*d = 5*c - 15. Factor d*j - 2/9*j**2 + 2/9.
-2*(j - 1)*(j + 1)/9
Let p(o) = -4*o**2 - 12*o. Let m(n) = -n. Let t(b) = -16*m(b) + p(b). Let t(l) = 0. Calculate l.
0, 1
Let m = 2 - -2. Let f(l) be the third derivative of 1/5*l**m - 4/15*l**3 + l**2 - 1/30*l**5 + 0*l + 0. Let f(p) = 0. What is p?
2/5, 2
Let s(j) = j**3 - 6*j**2 + 3*j + 1. Let c(t) = t**3 - 7*t**2 + 4*t. Let g(l) = -3*c(l) + 4*s(l). Let o(h) be the first derivative of g(h). Factor o(d).
3*d*(d - 2)
Let g = -2 - -1. Let c(k) = 2*k**2 - 2*k - 1. Let t be c(g). What is p in 2*p + t*p**5 + 3*p**4 - 4*p**2 - 5*p**5 + p**4 = 0?
-1, 0, 1
Let z(u) = u**3 + 6*u**2 - 8*u - 7. Let t = 15 - 22. Let o be z(t). Suppose 2/3 + o*p**2 + 10/3*p**3 - 10/3*p**4 + p**5 - 5/3*p = 0. Calculate p.
-2/3, 1
Let u(h) be the third derivative of h**7/5040 - h**5/720 - 7*h**3/6 + h**2. Let c(o) be the first derivative of u(o). Factor c(t).
t*(t - 1)*(t + 1)/6
Let t(j) be the second derivative of 0 - 3*j + 2/3*j**4 + 1/2*j**2 - 1/10*j**5 - 3/10*j**6 - 2/21*j**7 + j**3. Factor t(r).
-(r - 1)*(r + 1)**3*(4*r + 1)
Let l = 15 - 11. Suppose 8*y - 8 = l*y. Determine a, given that 3*a + a**y - 5*a**3 - 1 - 2*a**4 + 2 + 2*a**3 = 0.
-1, -1/2, 1
Let h = -137 - -1235/9. Let h*y**5 + 2/9*y**2 + 2/3*y**4 + 0*y + 2/3*y**3 + 0 = 0. What is y?
-1, 0
Suppose 6*j - 9 = 3*j. Suppose j*h = 4*w + 21, 2*w = -h + 4*w + 9. Determine l, given that 4*l + 3*l**2 - 9*l**2 + 6*l**h - 4*l**3 = 0.
0, 1, 2
Let i(p) be the second derivative of 22*p**6/15 - 24*p**5/5 + 5*p**4 - 4*p**3/3 - 11*p. Factor i(j).
4*j*(j - 1)**2*(11*j - 2)
Let r(j) be the second derivative of 0 - 1/150*j**6 - 1/100*j**5 - 2*j + 0*j**3 + 0*j**2 + 0*j**4. Let r(x) = 0. Calculate x.
-1, 0
Let s(o) be the first derivative of 2*o**3/3 - 10*o**2 + 50*o - 25. Factor s(v).
2*(v - 5)**2
Let y(t) be the third derivative of 0 + 0*t**3 + 1/135*t**5 - 1/108*t**4 - 2*t**2 + 0*t - 1/540*t**6. Factor y(p).
-2*p*(p - 1)**2/9
Let f = 4/69 + 386/483. Factor f*s + 0*s**2 - 8/7*s**3 - 2/7.
-2*(s + 1)*(2*s - 1)**2/7
Let l(d) = -d**3 + 6*d**2. Let n be 10/55 - 64/(-11). Let p(f) = f**2. Let h(s) = n*p(s) - l(s). Factor h(w).
w**3
Let m(a) be the second derivative of -1/9*a**3 - 1/9*a**4 - 3*a + 0 - 1/63*a**7 + 1/45*a**6 + 1/3*a**2 + 1/15*a**5. Factor m(v).
-2*(v - 1)**3*(v + 1)**2/3
Let r(x) be the third derivative of x**7/630 + x**6/120 + x**5/90 + 3*x**2. Factor r(d).
d**2*(d + 1)*(d + 2)/3
Let t(q) be the third derivative of q**8/112 + 3*q**7/70 + q**6/20 + 10*q**2. Find p such that t(p) = 0.
-2, -1, 0
Determine n so that -176 - 3*n - 2*n**3 + 9*n**2 + 170 + 5*n**3 - 3*n**4 = 0.
-1, 1, 2
Let o(a) be the third derivative of a**8/13440 + a**7/840 + a**6/120 + a**5/20 + 3*a**2. Let v(g) be the third derivative of o(g). Factor v(c).
3*(c + 2)**2/2
Let -4/9*w**2 + 0 - 2/3*w**3 - 2/9*w**4 + 0*w = 0. What is w?
-2, -1, 0
Let k(u) be the first derivative of -u**5/120 + u**3/12 - 2*u**2 - 2. Let l(o) be the second derivative of k(o). Let l(j) = 0. Calculate j.
-1, 1
Find p, given that 90*p - 88*p + 8 + 2*p**5 + 8*p**4 - p**3 - 3*p**3 - 16*p**2 = 0.
-4, -1, 1
Let t(m) be the second derivative of m**7/63 - m**5/5 + 4*m**4/9 - m**3/3 - 19*m. Factor t(v).
2*v*(v - 1)**3*(v + 3)/3
Let g(v) = -v**5 + v**4 - v**3 + 7*v**2 - 2*v - 4. Let r(l) = -3*l**5 + 2*l**4 - 3*l**3 + 20*l**2 - 5*l - 11. Let b(n) = -11*g(n) + 4*r(n). Factor b(p).
-p*(p - 1)*(p + 1)**2*(p + 2)
Let i(d) = -4*d + 54. Let c be i(13). Let q(m) be the first derivative of 1/2*m**4 + c - 2/3*m**3 - 2/15*m**5 + 1/3*m**2 + 0*m. What is t in q(t) = 0?
0, 1
Let v(h) = 7*h**2 + 2*h - 1. Let y be v(1). Suppose 4*k**2 - 4 - 24*k - 12 - y*k + 16*k**2 = 0. What is k?
-2/5, 2
Let l(d) be the third derivative of 3*d**2 - 1/120*d**5 + 1/480*d**6 + 0*d + 0 + 1/96*d**4 + 0*d**3. Factor l(p).
p*(p - 1)**2/4
Let z(k) = -k**3 + k**2. Let y be z(1). Let a = 1663/7 - 237. Determine s, given that 0*s + y + 2/7*s**4 + a*s**3 + 2/7*s**2 = 0.
-1, 0
Suppose -4 = -2*c - 3*z + 15, -2*c - 5*z + 29 = 0. Factor -3*t + 2 - t - 2*t**2 + 4*t**c.
2*(t - 1)**2
Let l(s) = -3*s**2 + 4*s - 4. Let x(c) = -4*c**2 + 5*c - 5. Let h(d) = -d**2 + 3*d + 6. Let f be h(5). Let q(p) = f*x(p) + 5*l(p). Factor q(y).
y**2
Let z(u) be the first derivative of -4*u**3/5 + 2*u**2 - 8*u/5 + 8. Factor z(m).
-4*(m - 1)*(3*m - 2)/5
Let n(j) = -4*j**2 - 5*j. Let d = -16 - -10. Let f = -11 - d. Let q(u) = -2*u**2 - 3*u. Let k(l) = f*q(l) + 3*n(l). Factor k(a).
-2*a**2
Let c be 5*-1*24/(-40). Suppose 5*h - 5*u - 10 = 0, 2*u - 4 = h + 4*u. Factor -2*m + h - 2 - c*m + 0 + 7*m**2.
(m - 1)*(7*m + 2)
Let q(w) be the third derivative of w**6/60 - w**4/12 + 7*w**2. Solve q(j) = 0.
-1, 0, 1
Let q(c) be the third derivative of -c**8/224 + 3*c**7/140 - 3*c**6/80 + c**5/40 - 4*c**2. Let q(d) = 0. Calculate d.
0, 1
Let l(q) be the first derivative of -q**7/420 + q**6/60 - q**5/20 + q**4/12 + q**3/3 + 1. Let u(g) be the third derivative of l(g). Factor u(i).
-2*(i - 1)**3
Let p(z) be the third derivative of z**9/3024 - z**7/840 + 5*z**3/6 - 5*z**2. Let d(v) be the first derivative of p(v). Let d(t) = 0. Calculate t.
-1, 0, 1
Let z(d) = -d - 6. Let p be z(-9). Factor 3*i - 74 + p*i**2 + 74.
3*i*(i + 1)
Factor 4/7*o**2 - 4/7*o**3 - 4/7 + 4/7*o.
-4*(o - 1)**2*(o + 1)/7
Let r(y) be the first derivative of -4/15*y**3 - 1/30*y**5 - 3 + 2/15*y**4 + y**2 + 0*y + 1/300*y**6. Let s(w) be the second derivative of r(w). Factor s(z).
2*(z - 2)**2*(z - 1)/5
Solve -j**3 + 0 - 7/2*j**2 + 7/2*j**4 + j = 0.
-1, 0, 2/7, 1
Let f(n) be the second derivative of 2*n**6/5 - n**5/5 - 3*n**4 + 6*n**3 - 4*n**2 - 6*n. Factor f(b).
4*(b - 1)**2*(b + 2)*(3*b - 1)
Let i be (26/117)/((-8)/(-3)). Let x(g) be the third derivative of 0*g**3 + 0 + 1/30*g**6 - 2*g**2 + 0*g**7 + 0*g**5 - i*g**4 - 1/168*g**8 + 0*g. Factor x(k).
-2*k*(k - 1)**2*(k + 1)**2
Suppose -14/3*j**3 - 19/3*j + 26/3*j**2 + 5/3 + 1/3*j**5 + 1/3*j**4 = 0. Calculate j.
-5, 1
Let a(v) be the first derivative of 20/3*v**3 + 8*v - 10*v**2 + 3 - 5/2*v**4 + 1/2*v**5 - 1/24*v**6. Factor a(z).
-(z - 2)**5/4
Let f(g) be the first derivative of g**3 - 9*g**2 + 15*g - 44. Find l such that f(l) = 0.
1, 5
Let p(r) be the first derivative of -6 + 0*r + 1/5*r**5 - r**2 + 1/8*r**4 - 4/3*r**3. Factor p(q).
q*(q - 2)*(q + 2)*(2*q + 1)/2
Let j be 2/(-3) + -51*(-5)/180. Factor j*x**3 - 3/4*x - 1/4*x**2 + 1/2 - 1/4*x**4.
-(x - 2)*(x - 1)**2*(x + 1)/4
Let z = -104 - -538/5. Solve 14/5*w**5 + 0 - 2*w**3 - 4/5*w + 18/5*w**2 - z*w**4 = 0.
-1, 0, 2/7, 1
Let r(u) = 2*u**2 - 2*u - 9. Let p(s) = -2*s**2 + 2*s + 10. Let l(i) = -5*p(i) - 6*r(i). What is a in l(a) = 0?
-1, 2
Let z(q) = -2*q + 9. Let t be z(3). Let b(g) be the first derivative of -1/5*g**2 - 1 - 4/5*g + 2/15*g**t. Factor b(l).
2*(l - 2)*(l + 1)/5
Let o(w) be the first derivative of -2*w**3/3 + 2*w**2 - 2*w - 3. Determine u, given that o(u) = 0.
1
Suppose -3*v = 0, -2 = -2*u - 4*v + 10. Let m(g) be the third derivative of 0*g - 1/60*g**u + 0 + 8/3*g**3 - g**2 + 1/5*g**5 - g**4. Factor m(z).
-2*(z - 2)**3
Let f(t) be the third derivative of t**2 + 0*t + 0*t**3 + 0 + 0*t**4 - 1/240*t**5. Let f(l) = 0. Calculate l.
0
Let k = -16656859/123 + 135423. Let a = k - 2/41. Suppose 4/3*s**2 - 2*s**5 + 16/9*s**3 - a*s**4 + 2/9*s + 0 = 0. What is s?
-1, -1/3, 0, 1
Suppose 2*g + 26 = -5*n, 4*g + 0*n = -3*n - 24. Let c be (13 + g - 0) + -3. Factor 6*q**2 + 3*q**4 + c*q - 7*q + 9*q**3.
3*q**2*(q + 1)*(q + 2)
Let t be (2/10)/(72/90). Factor -1/4*k**4 + 0*k - 1/4*k**5 + 1/4*k**2 + 0 + t*k**3.
-k**2*(k - 1)*(k + 1)**2/4
Let y = 13/12 + -1/3. Determine r so that -1/4*r**2 - y*r - 1/2 = 0.
-2, -1
Factor 0*o**3 + 0*o + 0*o**2 + 3/2*o**4 + 0.
3*o**4/2
Let y(r) = -2*r**2 - 3. Let q(o) = o**2 + 1. Let c(t) = -10*q(t) - 4*y(t). Factor c(h).
-2*(h - 1)*(h + 1)
Let h(b) = -70*b**2 + 63*b + 3. Let n(s) = -280*s**2 + 251*s + 11. Let q(i) = 9*h(i) - 2*n(i). Suppose q(t) = 0. What is t?
-1/14, 1
Let i be (-9 + 3)*(-2)/6. Let u(j) be the first derivative of -2/3*j**3 - 2*j**i + 0*j - 1. What is x in u(x) = 0?
-2, 0
Let y(b) = 