7*c**l + 2/7*c**2 + 0 + 0*c**3 + 0*c.
-2*c**2*(c - 1)*(c + 1)/7
Let r(v) be the third derivative of -v**5/60 - v**4/6 - v**3/2 + 8*v**2. Factor r(d).
-(d + 1)*(d + 3)
Let i(w) = w**3 + w - 1. Suppose -7 - 8 = 5*u. Let v(g) = -3*g**4 - 9*g**3 - 3*g**2 - 3*g + 3. Let j(c) = u*i(c) - v(c). Suppose j(k) = 0. What is k?
-1, 0
Let m(d) be the first derivative of d**7/147 - d**6/105 - d**5/70 + d**4/42 + d + 1. Let g(c) be the first derivative of m(c). Determine j so that g(j) = 0.
-1, 0, 1
Let y be 45/10*(-9)/(-81). Let u - y*u**2 - 1/2 = 0. Calculate u.
1
Let v(x) be the first derivative of -1/2*x**2 + 0*x + 1 + 1/15*x**4 - 4/15*x**3 - 1/150*x**5. Let u(q) be the second derivative of v(q). Factor u(m).
-2*(m - 2)**2/5
Let y(x) be the third derivative of 1/90*x**5 + 1/180*x**6 + 0*x**4 + 0*x + 0*x**3 + 0 + 3*x**2. Factor y(t).
2*t**2*(t + 1)/3
Let j(d) be the second derivative of d**6/165 + d**5/110 - d**4/66 - d**3/33 + 4*d. Suppose j(m) = 0. What is m?
-1, 0, 1
Suppose 4*o - j - 12 = 3*j, -3*o + 4*j = -10. Suppose -13*d**o + 8*d + 6*d**2 - 13*d**2 = 0. Calculate d.
0, 2/5
Factor 9*x**2 - 39*x**3 - 10 - 2 + 36*x**3.
-3*(x - 2)**2*(x + 1)
Suppose d + 4*u = 17, 4*d - 5*u = -2*u + 11. Let -6*o**5 + 5*o**2 + 2*o**4 + 7*o**2 + 3*o**d - 11*o**4 = 0. What is o?
-2, 0, 1
Let t(f) be the first derivative of f**5/5 - f**4/3 - 3*f + 2. Let y(x) be the first derivative of t(x). Determine h so that y(h) = 0.
0, 1
Let g(v) be the second derivative of -3*v**5/20 + 3*v**4/10 + 9*v**3/10 - 3*v**2/5 - 2*v + 33. What is h in g(h) = 0?
-1, 1/5, 2
Let j(c) = 28*c**3 - 52*c - 8. Let h(d) = 9*d**3 - 17*d - 3. Let o(u) = -16*h(u) + 5*j(u). Factor o(l).
-4*(l - 2)*(l + 1)**2
Let j(r) be the third derivative of -r**5/140 - 3*r**2. Let j(h) = 0. Calculate h.
0
Let v(j) be the third derivative of j**6/30 - 4*j**5/15 + 2*j**4/3 - 6*j**2. Factor v(m).
4*m*(m - 2)**2
Let o(c) be the first derivative of -c**5/40 - 3*c**4/16 - 13*c**3/24 - 3*c**2/4 - c/2 - 7. Let o(n) = 0. Calculate n.
-2, -1
Let l = -9 - -11. Let y(s) be the first derivative of 1/9*s**l - 1 + 0*s - 2/27*s**3. Factor y(w).
-2*w*(w - 1)/9
Let s(j) be the first derivative of 5*j**6/6 - 6*j**5 + 15*j**4 - 40*j**3/3 + 25. Factor s(l).
5*l**2*(l - 2)**3
Let k(l) be the first derivative of l**6/14 - 6*l**5/35 - 9*l**4/28 + 4*l**3/7 + 6*l**2/7 - 20. Factor k(a).
3*a*(a - 2)**2*(a + 1)**2/7
Let b = -671 + 4713/7. Let 12/7*l**2 + 10/7*l**3 - 8/7*l + 2/7*l**4 - b = 0. Calculate l.
-2, 1
Let v(u) be the third derivative of u**5/30 - u**4/3 + 4*u**3/3 + 3*u**2. Factor v(h).
2*(h - 2)**2
Let g(n) be the second derivative of n**6/270 + n**5/180 - n**4/108 - n**3/54 - 8*n. Factor g(k).
k*(k - 1)*(k + 1)**2/9
Factor 0*c + 9*c**3 + 2*c**4 + 3*c - 6*c**2 + c**4 + 15*c**2.
3*c*(c + 1)**3
Factor -8/7*f**4 + 4/7*f**5 + 8/7*f**2 + 0 + 0*f**3 - 4/7*f.
4*f*(f - 1)**3*(f + 1)/7
Let l(t) be the first derivative of t**6/3 + 4*t**5/5 - 4*t**3/3 - t**2 - 8. Suppose l(a) = 0. What is a?
-1, 0, 1
Let s(r) = -r**2 - r - 1. Let k(t) = -10*t**4 + 15*t**3 + 5*t**2 + 5. Let v(u) = -k(u) - 5*s(u). Factor v(j).
5*j*(j - 1)**2*(2*j + 1)
Let l = 1234/7 - 176. Suppose -l*n - 2/7*n**2 + 0 + 10/7*n**3 - 6/7*n**4 = 0. What is n?
-1/3, 0, 1
Let h(u) be the third derivative of u**7/2520 + u**6/180 + u**5/30 + u**4/8 - 2*u**2. Let t(p) be the second derivative of h(p). Factor t(b).
(b + 2)**2
Let w(s) be the second derivative of s**4/60 + s**3/15 - 3*s**2/10 + 31*s. Factor w(u).
(u - 1)*(u + 3)/5
Let w(m) be the first derivative of -6*m**5/5 - 39*m**4/4 - 30*m**3 - 42*m**2 - 24*m + 5. Factor w(x).
-3*(x + 2)**3*(2*x + 1)
Suppose 5*k - 15 = -5*n, -3*n + 0*k = -3*k + 21. Let i be ((-2 - -4) + n)/2. Determine b so that 1/2*b**5 + 0*b**2 - 1/6*b + i + b**3 + 4/3*b**4 = 0.
-1, 0, 1/3
Let b(h) = -h + 1. Let x(k) = 4*k**2 - 8*k - 4. Let r(w) = -4*b(w) + x(w). Suppose r(p) = 0. Calculate p.
-1, 2
Let n(d) be the second derivative of d**4/42 + 5*d**3/21 + 6*d**2/7 - 35*d. Find f such that n(f) = 0.
-3, -2
Let m(u) = u**2 - 2*u. Let b be m(3). Factor 0*k + 0 + 1/4*k**4 + 0*k**b - 1/4*k**2.
k**2*(k - 1)*(k + 1)/4
Factor -11*f**2 + 3*f + 2*f + 9*f + 4 - 7*f**2.
-2*(f - 1)*(9*f + 2)
Let g = 0 + -1. Let m be 0/(g + -1 + 1). Let o**3 + 2*o**4 + o**5 + 0*o**3 + m*o**5 = 0. What is o?
-1, 0
Let d(z) be the third derivative of z**6/360 - 19*z**5/180 + 11*z**4/8 - 9*z**3/2 - 23*z**2. Determine v so that d(v) = 0.
1, 9
Let c(o) be the third derivative of o**5/10 + 11*o**4/12 - 4*o**3/3 - 2*o**2. Factor c(a).
2*(a + 4)*(3*a - 1)
Let v be ((-52)/(-3))/4 - (-4)/24. Find z, given that -21/2*z**3 + 9/2*z - 9/2*z**2 + 3 - v*z**4 = 0.
-1, 2/3
Let s(g) = -24*g + 194. Let y be s(8). Suppose 2/7*d**y + 0*d - 2/7 = 0. Calculate d.
-1, 1
Let b(v) be the first derivative of -9*v**5/20 - 11*v**4/16 - v**3/6 - 5. Find o such that b(o) = 0.
-1, -2/9, 0
Suppose 2*t = -3 + 7. Suppose -b + 5 = t. Factor -3*r - 2*r**3 + r**2 + b*r.
-r**2*(2*r - 1)
Suppose 0 = -5*q - 4*l + 36, 3*q - 2*l = l. Suppose -4*r - 3*w + 31 = 8, 0 = q*r - 5*w + 17. Let -3/4*x**r + 0 + 1/2*x = 0. Calculate x.
0, 2/3
Let w**2 + 3*w**2 + 5*w**2 - 11*w**2 + 2*w**3 = 0. What is w?
0, 1
Let k(i) = 2*i**3 - 6*i**2 - 3*i + 2. Let y(g) = g**3 - g**2 + 1. Let x(z) = -2*k(z) + 6*y(z). Factor x(n).
2*(n + 1)**3
Let g(m) be the first derivative of -1/12*m**3 + 0*m**2 + 2 + 0*m. What is t in g(t) = 0?
0
Let h = -21 - -25. Let t(o) be the first derivative of -1/6*o**h + 1/3*o**2 - 2 + 0*o + 7/9*o**3 - 7/15*o**5. Solve t(l) = 0 for l.
-1, -2/7, 0, 1
Let c be 1/(-3)*(-5 - 4). Suppose c + 12 = 3*x. Find o, given that -2/3*o + 4/3*o**3 - 2/3*o**x + 4/3*o**2 - 2/3*o**4 - 2/3 = 0.
-1, 1
Let l(q) be the second derivative of -3*q**5/40 + 3*q**4/8 + 6*q. Factor l(y).
-3*y**2*(y - 3)/2
Let z = 37/15 + -9/5. Factor 2*f - z - 2*f**2 + 2/3*f**3.
2*(f - 1)**3/3
Suppose 0 = -3*i + 4*m - 22 + 2, 5*i + m = 5. Factor 4/3*y - 1/3*y**4 - y**3 + 0 + i*y**2.
-y*(y - 1)*(y + 2)**2/3
Let i be (35/63)/((-6)/(-27)). Determine h so that i*h**3 - 9/2*h**2 - 5/2*h + 1 + 7/2*h**4 = 0.
-1, 2/7, 1
Let v(b) be the first derivative of b**4/2 + 22*b**3/15 + 7*b**2/5 + 2*b/5 - 12. Factor v(a).
2*(a + 1)**2*(5*a + 1)/5
Let q(x) be the third derivative of -x**10/9450 + x**9/15120 + x**8/1260 - x**7/1260 - x**5/15 + 6*x**2. Let r(a) be the third derivative of q(a). Factor r(g).
-4*g*(g - 1)*(g + 1)*(4*g - 1)
Let g be 56/(-42)*(-9)/42. Find b such that -4/7*b + 6/7*b**2 + 0 + 0*b**3 - g*b**4 = 0.
-2, 0, 1
Factor -163*v**4 - 544*v**2 - 828*v**3 + 208*v**3 - 112*v + 263*v**4.
4*v*(v - 7)*(5*v + 2)**2
Let o(p) be the third derivative of 0*p**3 + 1/80*p**5 - 1/840*p**7 + 1/48*p**4 + 0*p**6 + 0 - 4*p**2 + 0*p. Factor o(l).
-l*(l - 2)*(l + 1)**2/4
Suppose -u = -5*u. Suppose -n - n + 6 = u. What is q in 0 + 2*q**2 + n - 4*q - 1 = 0?
1
Let r(k) be the second derivative of -2*k + 0 + 0*k**2 - 1/9*k**3 - 1/18*k**4. Factor r(t).
-2*t*(t + 1)/3
Suppose 5*h = -p + 17, 0 = 4*p + 3*h + 2*h - 23. Suppose 1/4*m**p - 1/2 + 1/4*m = 0. What is m?
-2, 1
Let s(j) be the first derivative of j**7/12 - 19*j**6/60 + 3*j**5/8 - j**4/24 - j**3/6 - 2*j - 3. Let y(p) be the first derivative of s(p). Solve y(m) = 0.
-2/7, 0, 1
Let l = 54199/369 - 27/41. Let r = l + -146. Factor r*x**3 + 0*x - 2/9*x**2 + 0.
2*x**2*(x - 1)/9
What is v in -1/3*v**4 + 0 + 1/3*v**3 + 0*v + 0*v**2 = 0?
0, 1
Let t(d) be the third derivative of d**7/735 - d**6/105 + d**5/70 + d**4/21 - 4*d**3/21 - 12*d**2. Factor t(l).
2*(l - 2)**2*(l - 1)*(l + 1)/7
Let p(y) be the third derivative of -1/32*y**4 - 1/120*y**5 + 0*y + 0 + 1/12*y**3 - y**2. Factor p(d).
-(d + 2)*(2*d - 1)/4
Let h(s) = -1 - s**2 + 0 + 2 + s**3. Let t(x) = -5*x**2 + 3*x - 5. Let g(l) = 21*h(l) + 3*t(l). Factor g(d).
3*(d - 1)**2*(7*d + 2)
Let l be (-1)/(2 - (-7)/(-3)). Suppose -9 = -4*j - 3*g, 0*g = -4*j - 4*g + 8. Factor 3*b**3 + 1 - 2*b**3 + 0*b**j - 2 - l*b**2 + 3*b.
(b - 1)**3
Let u(f) = -3*f**5 - 6*f**4 - 6*f**3 + 12*f**2 - 3*f + 2. Let m = 15 - 11. Let z(x) = x**5 + x**4 + x**3 - x**2 - x. Let h(k) = m*z(k) + u(k). Factor h(n).
(n - 1)**4*(n + 2)
Suppose -6*u + 0 + 18 = 0. Let k(z) be the first derivative of -19/16*z**4 - 1/8*z**2 + 5/4*z**3 + 7/20*z**5 - 1/2*z + u. Factor k(g).
(g - 1)**3*(7*g + 2)/4
Let 0 + w**2 + 1/6*w + 13/6*w**3 + 2*w**4 + 2/3*w**5 = 0. Cal