**3 + 2/3*v**2 + n.
-v*(v - 1)**2/3
Let j(k) be the second derivative of k**7/210 - 7*k**6/75 + 18*k**5/25 - 8*k**4/3 + 64*k**3/15 - 19*k. Find m, given that j(m) = 0.
0, 2, 4
Let z(c) be the third derivative of -c**7/70 - c**6/40 + c**5/20 + c**4/8 + 3*c**2. Factor z(l).
-3*l*(l - 1)*(l + 1)**2
Let s(y) be the first derivative of -y**8/560 + y**7/350 + y**6/200 - y**5/100 + 5*y**2/2 + 4. Let a(k) be the second derivative of s(k). Factor a(h).
-3*h**2*(h - 1)**2*(h + 1)/5
Find m such that 3/4*m**3 + 3/2*m**2 - 3*m - 6 = 0.
-2, 2
Find n such that 3*n**3 - 6*n**3 - 54*n**2 - 198*n - 126*n - 419 - 229 = 0.
-6
Let j be (-3 - -6)*(0 + 1). Suppose n = -4*t + 9, 12 = -2*t + 7*t + n. Factor p**3 + p**2 - p**j - p**t.
-p**2*(p - 1)
Factor 0*q**2 - 3/2*q**3 - 3 + 9/2*q.
-3*(q - 1)**2*(q + 2)/2
Let v(n) = -n**3 - 9*n**2 + 10*n + 4. Let p be v(-10). Find c such that 2/11*c - 4/11*c**3 + 2/11*c**5 - 2/11*c**p - 2/11 + 4/11*c**2 = 0.
-1, 1
Let o(i) be the second derivative of i**8/3360 - i**6/360 - i**4/2 - 4*i. Let n(r) be the third derivative of o(r). Factor n(x).
2*x*(x - 1)*(x + 1)
Let c(d) be the first derivative of -d**5/30 + d**4/12 + d**3/6 - 2*d**2/3 + 2*d/3 - 12. Factor c(s).
-(s - 2)*(s - 1)**2*(s + 2)/6
Let n(x) = -3*x**2 + 7*x - 2. Let o(g) be the first derivative of g**3/3 - g**2/2 + g + 2. Let q(z) = n(z) + 4*o(z). Find p, given that q(p) = 0.
-2, -1
Factor 1/7 + 1/7*h**2 + 2/7*h.
(h + 1)**2/7
Factor -14*z + 6*z - 2*z**4 - 4*z**3 + 4*z**4 - 6*z**3 + 16*z**2.
2*z*(z - 2)**2*(z - 1)
Let p(z) be the first derivative of 3*z**5/20 + z**4/4 - z**3 - 5*z + 2. Let b(g) be the first derivative of p(g). Factor b(m).
3*m*(m - 1)*(m + 2)
Let p = -8 - -13. Factor 3*m**p - 12*m**4 + 12*m**3 + 2 + 6*m**2 + 3 - 15*m - 5 + 6.
3*(m - 2)*(m - 1)**3*(m + 1)
Let a(d) be the second derivative of d**7/21 - d**5/10 + 7*d. Suppose a(m) = 0. Calculate m.
-1, 0, 1
Let i(p) be the third derivative of 0*p + 3/175*p**7 + 0*p**4 + 0 + 0*p**3 + 7*p**2 - 1/168*p**8 - 1/100*p**6 - 1/150*p**5. Factor i(r).
-2*r**2*(r - 1)**2*(5*r + 1)/5
Factor 168*r + 96/5 - 486/5*r**3 + 1728/5*r**2.
-6*(r - 4)*(9*r + 2)**2/5
Let n(v) be the second derivative of -v**5/90 + 2*v**4/27 - 4*v**3/27 - 9*v. Factor n(q).
-2*q*(q - 2)**2/9
Let j(w) be the first derivative of w**2 - 3 + 4/15*w**5 - w**4 + 1/3*w**6 - 8/9*w**3 + 4/3*w. Let j(a) = 0. What is a?
-1, -2/3, 1
Let z(c) = 7 - 7*c - 4 - 2. Let m be z(-1). Let m*r**2 - 4 + 2*r**2 - 9*r**4 + 3*r**2 = 0. Calculate r.
-1, -2/3, 2/3, 1
Let u(i) be the first derivative of i**7/1155 - i**6/660 - 7*i**2/2 + 2. Let p(s) be the second derivative of u(s). Let p(b) = 0. What is b?
0, 1
Let x = 151/180 - -13/36. Let d(o) be the first derivative of o**4 + 0*o - x*o**5 + 2*o**3 - 2*o**2 + 1. Let d(w) = 0. What is w?
-1, 0, 2/3, 1
Suppose 4*g = 5*v, -2*v = -g + 1 - 4. Suppose -1 = -2*q - 5*a + 28, g*a - 25 = 0. Suppose -2/7*s - 2/7*s**q + 4/7 = 0. What is s?
-2, 1
Let a(g) be the second derivative of -1/30*g**6 + 0*g**2 + 1/25*g**5 - 1/60*g**4 + 0 - 2*g + 0*g**3 + 1/105*g**7. Factor a(v).
v**2*(v - 1)**2*(2*v - 1)/5
Let v(y) be the third derivative of 1/900*y**6 - 1/150*y**5 + 1/6*y**3 + 0*y + 1/60*y**4 + 0 - 3*y**2. Let p(h) be the first derivative of v(h). Factor p(w).
2*(w - 1)**2/5
Let h be (-3)/(240/(-124)) - (-2)/8. Factor -3/5*b**3 + 0*b**2 - 6/5 + h*b.
-3*(b - 1)**2*(b + 2)/5
Suppose -4*g = 4*j - 2*g - 24, 0 = -5*j - 3*g + 31. Find b such that 6/7*b + 108/7*b**4 - 3/7*b**3 - 12*b**j + 0 - 27/7*b**2 = 0.
-1/2, 0, 2/7, 1/2, 1
Suppose -2*b - 3*w = -4 + 5, -5*w = 5*b - 5. Let z be (b/(-10))/((-4)/8). Suppose 0*x**2 + 0 + 0*x - z*x**3 - 2*x**4 + 14/5*x**5 = 0. Calculate x.
-2/7, 0, 1
Suppose 0 = -f - 3*f + 8. Let -2*u**2 - f*u + 4*u + 0*u**2 + 0*u**3 - 2*u**3 + 2 = 0. Calculate u.
-1, 1
Let w(v) = -v**2 + 4*v - 1. Let h be w(3). Suppose -8*q**3 + 10*q**2 + 1 + 12*q + 12*q**4 - 18*q**h - 4*q**5 - 5 = 0. What is q?
-1, 1
Let q(m) be the second derivative of -m**3/6 + 2*m**2 - 4*m. Let z be q(4). Solve -2/7*r**3 - 2/7*r**2 + z + 0*r = 0.
-1, 0
Let b(v) be the third derivative of -v**6/180 - v**5/60 + v**4/6 + 2*v**3/3 + 2*v**2. Let f(g) be the first derivative of b(g). Factor f(u).
-2*(u - 1)*(u + 2)
Let k be (-55)/198*(-1 + (-1)/1). Let x(i) be the second derivative of -k*i**3 + 0 + 7/18*i**4 + 2*i - 2/3*i**2. Let x(c) = 0. What is c?
-2/7, 1
Let g(w) be the first derivative of 2*w**5/15 - w**4/2 + 2*w**3/3 - w**2/3 - 7. Factor g(l).
2*l*(l - 1)**3/3
Let l(x) be the first derivative of -x**5/210 + x**4/28 - 2*x**3/21 - x**2 - 3. Let v(j) be the second derivative of l(j). Factor v(k).
-2*(k - 2)*(k - 1)/7
Factor 0 - 4/3*j + 2*j**2 - 2/3*j**3.
-2*j*(j - 2)*(j - 1)/3
Suppose -37 = -4*m + 5*r, -2*r = r + 15. Let -4*p - 10*p - m - p - 15*p**4 - 3*p**5 - 30*p**3 - 30*p**2 = 0. Calculate p.
-1
Let l be 0/(((-5)/15)/((-1)/(-3))). Factor 2/7*g**5 + 2/7*g**3 - 4/7*g**4 + 0 + 0*g**2 + l*g.
2*g**3*(g - 1)**2/7
Let -4/5*a**3 + 0 + 4/5*a + 4/5*a**2 - 4/5*a**4 = 0. Calculate a.
-1, 0, 1
Let d(p) be the third derivative of -p**8/3024 - p**7/1890 + p**6/1080 + p**5/540 + 26*p**2. Find v, given that d(v) = 0.
-1, 0, 1
Factor 2/3*c + 2/3*c**2 + 0.
2*c*(c + 1)/3
Let d(k) be the third derivative of k**6/30 + 2*k**5/15 + k**4/6 + 3*k**2. Suppose d(a) = 0. Calculate a.
-1, 0
Let a(q) = q - 1. Let s be a(4). Suppose 0 = g + y - 1 - s, 5*g - 4 = 3*y. Suppose 0*j**4 + 2*j**4 - 2*j**g + 1 - j**4 = 0. What is j?
-1, 1
Let z(q) be the second derivative of 2/5*q**5 + 0 - 1/3*q**4 - 7*q + 0*q**2 + 0*q**3 - 2/15*q**6. Factor z(g).
-4*g**2*(g - 1)**2
Let h(m) be the third derivative of -m**6/160 + m**5/20 - 5*m**4/32 + m**3/4 - 16*m**2. What is t in h(t) = 0?
1, 2
Suppose 42 = -v - 0*v. Let m be 4/7 + (-32)/v. Let m*f - 1/3*f**2 - 4/3 = 0. Calculate f.
2
Let m(f) be the second derivative of 0*f**3 + 0*f**2 + 1/20*f**5 + 0*f**4 - 1/30*f**6 + 0 - 2*f. Factor m(r).
-r**3*(r - 1)
Let n(f) be the first derivative of -2*f**3/3 - 3*f**2 - 4*f + 3. Suppose n(l) = 0. What is l?
-2, -1
Let u(g) = -3*g**2 + 18*g - 24. Let c(m) = -3*m**2 + 18*m - 25. Let r(y) = -3*c(y) + 2*u(y). Factor r(j).
3*(j - 3)**2
Determine p, given that 0*p + 1/5*p**3 + 0 + 0*p**2 + 1/5*p**4 = 0.
-1, 0
Factor 34 + 4*k + 2/17*k**2.
2*(k + 17)**2/17
Let l be ((-252)/(-735))/(3/15). Factor -2/7*y**2 - 18/7 + l*y.
-2*(y - 3)**2/7
Solve -4*j + 3*j + 2 - 3 - 1 + j**2 = 0.
-1, 2
Suppose -2*n = d - 4, 16 = -29*n + 32*n + 4*d. Let -4/7*x**3 - 2/7*x**4 + 2/7*x**2 + 4/7*x + n = 0. Calculate x.
-2, -1, 0, 1
Let h be (-2)/(-3) + (-14)/(-6). Factor -3*w**2 + 2*w + h*w**2 - 2*w**2 - 3*w.
-w*(2*w + 1)
Let w(i) be the third derivative of 0 + 1/60*i**5 + 0*i - i**2 + 1/24*i**4 - 1/6*i**3 + 1/360*i**6. Let v(y) be the first derivative of w(y). Factor v(n).
(n + 1)**2
Let w be (-7)/(28/8) + 32/14. Factor -4/7*d**2 + 4/7*d**4 + 0*d**3 + w*d - 2/7*d**5 + 0.
-2*d*(d - 1)**3*(d + 1)/7
Let c = -55 - -19. Let k be (-30)/c + 1/(-2). Find z, given that 1/3*z**2 - k - 1/3*z + 1/3*z**3 = 0.
-1, 1
Let o = 16 + -13. Suppose -2*c = o*c. Find s such that 0*s**2 + 2/9*s**3 + 0 + c*s**4 + 0*s - 2/9*s**5 = 0.
-1, 0, 1
Let z = -128 - -131. What is i in -6/7*i**2 - 6/7*i**z - 2/7*i**4 - 2/7*i + 0 = 0?
-1, 0
Suppose 7*k - 30 = k. Let b(w) be the third derivative of 0 + 0*w + 1/180*w**k + 0*w**3 + 1/630*w**7 + 0*w**4 - 3*w**2 + 1/180*w**6. Factor b(q).
q**2*(q + 1)**2/3
Let x(i) be the third derivative of i**5/90 + i**4/12 + i**2. Factor x(f).
2*f*(f + 3)/3
Let t = -4562/5 + 914. Find a such that 2/5*a**3 - 8/5*a**2 + 0 + t*a = 0.
0, 2
Let d be (30/175)/(9/15). Factor -2/7 + 4/7*x**3 - 2/7*x**4 - d*x + 4/7*x**2 - 2/7*x**5.
-2*(x - 1)**2*(x + 1)**3/7
What is r in -r**4 - 2*r**4 - 11*r**4 - 4*r**4 - 3*r**5 - 27*r**3 = 0?
-3, 0
Let q = 8 + -11. Let j(l) = l**3 + 4*l**2 + l - 4. Let c be j(q). Find d, given that -3*d - 1 - d - d**2 + c*d = 0.
-1
Let d be ((-1)/7*-6)/((-108)/(-189)). Find c such that 9/2*c + 3 - d*c**3 + 0*c**2 = 0.
-1, 2
Let k(g) = -g**2 + 5*g - 1. Let m be k(4). Solve 2*o**4 - 7*o**m + 3*o**4 + 6*o**3 + 4*o**5 + 2*o**3 = 0 for o.
-1, -1/4, 0
Let u(m) be the third derivative of m**5/40 + m**4/2 + 7*m**3/4 + 7*m**2. Suppose u(v) = 0. What is v?
-7, -1
Let p(b) be the first derivative of 0*b**2 - 5 + 5/12*b**6 + 0*b**3 - 1/4*b**4 + 0*b + 3/10*b**5. Supp