**2 + 0 + 0*p**3 - u*p**4 + 2/3*p.
-2*p*(p - 1)*(p + 1)**3/3
Let f(x) = -2*x**3 - x**2 - 3. Let s = -2 + 1. Let a(j) = j**3 + 1. Let b(h) = s*f(h) - 3*a(h). Factor b(o).
-o**2*(o - 1)
Suppose 19*g + 0*g - 4*g - 10 - 5*g**2 = 0. What is g?
1, 2
Let z(x) = -3*x**4 - 38*x**3 + 7*x**2 - 17. Let n(g) = -g**4 - 13*g**3 + 2*g**2 - 6. Let b(r) = 17*n(r) - 6*z(r). Solve b(a) = 0 for a.
-8, 0, 1
Factor 1/3*q**5 + 0 + 0*q - 2/3*q**4 + 2/3*q**2 - 1/3*q**3.
q**2*(q - 2)*(q - 1)*(q + 1)/3
Let y(x) be the first derivative of x**3/18 - x**2/4 + x/3 - 49. Find v such that y(v) = 0.
1, 2
Solve -24 - 3/2*l**2 + 12*l = 0 for l.
4
Let m(c) = -c**2 + 27*c - 48. Let n be m(25). Let 0*a + 0 - 3/5*a**n = 0. Calculate a.
0
Let i(x) = 3*x**2 + 2*x + 2. Let p be i(-1). Factor -3*a**2 + 2*a**3 + 0*a**2 + p*a**2.
2*a**3
Let g(s) be the first derivative of 2*s**3/27 + 4*s**2/3 - 26*s/9 - 72. Factor g(c).
2*(c - 1)*(c + 13)/9
Suppose 3*j + 29 + 4 = 3*z, 0 = 2*z + 3*j - 17. Let w be (z - 12)*18/(-20). Factor -3/5 + 9/5*y - 6/5*y**2 + w*y**4 - 3/5*y**5 - 6/5*y**3.
-3*(y - 1)**4*(y + 1)/5
Let n(p) be the third derivative of p**2 + 0 - 1/40*p**6 + 0*p**3 - 1/35*p**7 - 1/112*p**8 + 0*p**4 + 0*p**5 + 0*p. Factor n(s).
-3*s**3*(s + 1)**2
Let m(f) = f**2 + 11*f + 8. Let n be m(-11). Suppose 8 = n*a - 4*a. Factor -r**2 - a*r**3 + 0*r**2 + 0*r**3 - 3*r**2.
-2*r**2*(r + 2)
Let q = 5 - 2. Suppose -q*r = -5*r. Solve 1/2*s**3 - 1/2*s + r + 0*s**2 = 0 for s.
-1, 0, 1
Let t(r) be the first derivative of -3*r**5/5 + 3*r**4/4 + 5*r**3 + 9*r**2/2 - 21. Factor t(l).
-3*l*(l - 3)*(l + 1)**2
Let u(l) be the first derivative of -l**3/3 + 2*l**2 + 12*l - 24. Let u(c) = 0. What is c?
-2, 6
Factor 18/7 - 16/7*v - 2/7*v**2.
-2*(v - 1)*(v + 9)/7
Let p(h) be the third derivative of 0 - 4*h**2 - 2/27*h**3 + 1/108*h**4 + 0*h + 1/135*h**5 - 1/540*h**6. Factor p(w).
-2*(w - 2)*(w - 1)*(w + 1)/9
Let c(n) be the first derivative of -n**7/105 + n**6/60 + n**5/10 - n**4/12 - 2*n**3/3 - n**2 - 5. Let g(x) be the second derivative of c(x). Factor g(q).
-2*(q - 2)*(q - 1)*(q + 1)**2
Let m be -1 + -2 - (-14202)/66. Let a = -212 + m. Factor -2/11*z**2 + 0 + a*z.
-2*z*(z - 1)/11
Let v(d) = -3*d**2 - 12*d. Let x be v(-4). Find r such that 8/13*r - 48/13*r**2 + 98/13*r**4 + 42/13*r**3 + x = 0.
-1, 0, 2/7
Let b(g) be the second derivative of 3*g - 2/15*g**3 + 1/30*g**4 + 1/5*g**2 + 0. Factor b(n).
2*(n - 1)**2/5
Suppose 0 - 8/11*w**2 - 2/11*w = 0. Calculate w.
-1/4, 0
Let q(k) be the second derivative of -k**7/252 - k**6/180 + k**5/24 - k**4/24 + 22*k. Factor q(c).
-c**2*(c - 1)**2*(c + 3)/6
Factor -12*w**2 - 5*w + 17 - 19*w + 15 + 4*w**3.
4*(w - 4)*(w - 1)*(w + 2)
Let n(u) be the third derivative of -u**5/20 - u**4/4 + 3*u**3/2 + 2*u**2. Factor n(g).
-3*(g - 1)*(g + 3)
Let c be 6/14 - 88/(-56). Let u be 6/(-10)*4/(-6). Suppose -u - 4/5*b - 2/5*b**c = 0. Calculate b.
-1
Let y(c) be the third derivative of -c**7/70 - c**6/20 + c**4/4 + c**3/2 - 5*c**2. Factor y(b).
-3*(b - 1)*(b + 1)**3
Let -1/5*b**3 - 2/5*b - 3/5*b**2 + 0 = 0. What is b?
-2, -1, 0
Let x = 527/870 + -1/174. Factor -1/5 - x*w - 1/5*w**3 - 3/5*w**2.
-(w + 1)**3/5
Let f = -60 + 241/4. Let w(j) be the third derivative of -1/6*j**3 + 0*j - f*j**4 - 1/30*j**6 - j**2 - 3/20*j**5 + 0. What is b in w(b) = 0?
-1, -1/4
Let n be (-15)/(-54) + (-2 - (-40)/18). Factor -1/4*c - n + 1/4*c**2.
(c - 2)*(c + 1)/4
Let t be (-234)/(-72) - (-1 - -4). Let x(r) be the first derivative of -3/5*r**5 + 0*r**2 + t*r**4 + 0*r + 2/3*r**3 + 2. Find v, given that x(v) = 0.
-2/3, 0, 1
Let i(m) be the second derivative of 2*m - 1/9*m**3 + 0*m**2 + 0 - 1/15*m**5 + 1/90*m**6 + 5/36*m**4. Solve i(g) = 0 for g.
0, 1, 2
Let u = 177 + -529/3. Factor -u*z + 1/2 + 1/6*z**2.
(z - 3)*(z - 1)/6
Let f(d) = 2*d - 1. Let g be f(-3). Let q = -3 - g. What is n in -q*n**2 - 2*n**4 + n + 5*n**3 - 6*n**3 + 6*n**3 = 0?
0, 1/2, 1
Let k be 9/2 - (-15)/(-10). Let i be (-8)/(-6)*6/20. Let 0 + 0*n - i*n**2 - 2/5*n**k = 0. What is n?
-1, 0
What is d in -10*d**2 + 2*d**3 - 11*d**2 - 3*d**3 - 21*d - 3*d**3 - 4 = 0?
-4, -1, -1/4
Let p be ((-8)/5)/(16/(-40)). Let q(a) be the first derivative of -2 - 2/5*a**5 + 0*a**2 - 2/3*a**3 + a**p + 0*a. Find v such that q(v) = 0.
0, 1
Let n(a) = 2*a**3 + 0*a + a + a**2 - 3 + 4. Let o(f) = -f - 1. Let t(s) = 3*n(s) + 3*o(s). Find p such that t(p) = 0.
-1/2, 0
Let m(g) be the first derivative of 2/15*g**2 - 2/45*g**3 + 2/75*g**5 - 1/15*g**4 - 4 + 0*g. Factor m(i).
2*i*(i - 2)*(i - 1)*(i + 1)/15
Let l(q) = -5*q**3 + 4*q**2 + 9*q + 3. Let f(h) = -h**3 + h + 1. Let o(i) = -3*f(i) + l(i). Determine p so that o(p) = 0.
-1, 0, 3
Let c(a) be the first derivative of 3 + 0*a - 1/6*a**3 - 1/4*a**2. Factor c(k).
-k*(k + 1)/2
Factor -6*g**4 + 5*g**4 + 2*g**4 + 4*g**3 - 4*g + g**4 - 2.
2*(g - 1)*(g + 1)**3
Suppose -5*l + 10 = -0*l. Let w(a) be the first derivative of 1/8*a**4 + 1/2*a + 1/2*a**3 + 3/4*a**l - 1. Factor w(b).
(b + 1)**3/2
Let v = -907 - -911. Factor -12*x - 33*x**3 + 0 - 15/2*x**v - 42*x**2.
-3*x*(x + 2)**2*(5*x + 2)/2
Let z = 2696/7 - 385. Factor 1/7*f + z*f**2 + 0.
f*(f + 1)/7
Solve -12*c**3 - 36*c + 16*c**3 + c - 25*c**2 - 15 - 9*c**3 = 0 for c.
-3, -1
Let d = 1819/111 - 2/37. Determine o so that 4/3 - 28/3*o + d*o**2 = 0.
2/7
Let s(v) be the second derivative of v**7/42 - v**5/10 + v**3/6 + 12*v. Suppose s(h) = 0. Calculate h.
-1, 0, 1
Suppose 4*f - 4 = -2*y, 4*y + 20 - 4 = 0. Let t(d) be the third derivative of 0 - 2/105*d**5 + 5/84*d**4 + 2*d**2 - 1/140*d**6 + 2/21*d**f + 0*d. Factor t(g).
-2*(g - 1)*(g + 2)*(3*g + 1)/7
Let k(c) be the second derivative of c**4/3 - 4*c**3/3 + 7*c. Factor k(l).
4*l*(l - 2)
Let b(g) be the first derivative of -8*g + 8/5*g**5 + 2*g**4 + 14*g**2 + 7 - 32/3*g**3 - 2/3*g**6. Factor b(q).
-4*(q - 1)**4*(q + 2)
Let i(h) be the third derivative of -h**6/200 - h**5/25 + h**4/40 + 2*h**3/5 - 15*h**2. Let i(q) = 0. What is q?
-4, -1, 1
Let w(k) = k + 1. Let f be w(2). Let -4*l**3 + 2*l**3 + 0*l**f = 0. What is l?
0
Let z(n) = -n**4 - n**3 - n**2 - 1. Let w(v) = -v**4 - v**3 + v**2 + 1. Let m(x) = w(x) + z(x). Suppose m(s) = 0. Calculate s.
-1, 0
Let r(j) = 1. Let b(p) = -p**2 - 7*p + 5. Let n(z) = b(z) - 5*r(z). Let n(c) = 0. Calculate c.
-7, 0
Let z(x) be the third derivative of -x**8/1680 - x**7/840 + x**3/6 - 5*x**2. Let h(t) be the first derivative of z(t). Factor h(j).
-j**3*(j + 1)
Let o(h) be the third derivative of -2*h**2 + 0*h**4 + 0*h - 1/60*h**5 + 1/6*h**3 + 0. Factor o(w).
-(w - 1)*(w + 1)
Suppose 0 = a - 3*a + 6. Let i(v) be the second derivative of v - 1/54*v**4 + 0 - 1/30*v**5 + 0*v**a + 0*v**2. Find d such that i(d) = 0.
-1/3, 0
Suppose -y + 7*y = 4*y. Suppose -2/7*f**3 + y*f**2 + 0*f + 0 = 0. What is f?
0
Let s(p) be the first derivative of 2*p**3/21 + p**2/7 - 4*p/7 + 5. Suppose s(z) = 0. What is z?
-2, 1
Suppose 3*f + 13 = 4. Let s(a) = -a**2 - 2*a + 6. Let u be s(f). Solve 0 + 3*d**u + 1/2*d**5 - 2*d**2 + 1/2*d - 2*d**4 = 0 for d.
0, 1
Suppose 13*c + 28 = 17*c. Suppose -2*l**2 + 5*l**4 - 4*l**2 + 9*l**3 + 3*l**2 + c*l**4 = 0. What is l?
-1, 0, 1/4
Let f(o) be the third derivative of o**6/40 - 4*o**2. Find q, given that f(q) = 0.
0
Let o(v) be the third derivative of v**7/2940 - v**6/630 + v**5/420 + v**3/3 + v**2. Let a(b) be the first derivative of o(b). Factor a(g).
2*g*(g - 1)**2/7
Let i(r) be the third derivative of r**5/360 - r**4/72 + r**3/36 - 9*r**2. Suppose i(s) = 0. What is s?
1
Let m(s) be the second derivative of 1/20*s**5 + 0*s**4 + 0*s**2 + 0 - 2*s - 1/6*s**3. Solve m(w) = 0 for w.
-1, 0, 1
Let m = -1181 - -1184. Let 2/3*p + 0 - 1/3*p**m + 1/3*p**2 = 0. Calculate p.
-1, 0, 2
Let w(x) be the first derivative of 3*x**4/32 - 3*x**3/2 + 9*x**2 - 24*x + 5. Find i such that w(i) = 0.
4
Suppose -4*v - 5*x - 15 = -9*v, x = -2*v + 3. Factor -2/9*m**v + 4/9 - 2/9*m.
-2*(m - 1)*(m + 2)/9
Let l(x) = 5*x**2 - 17*x. Let g(d) = -65*d**2 + 220*d. Let s(v) = -3*g(v) - 40*l(v). Suppose s(k) = 0. What is k?
0, 4
Let k(x) = x**3 - x - 1 - 3*x + 8 + 4*x**2. Let y be k(-5). Factor 4*j**3 - y*j**3 - 2*j - j**3 + j**2.
j*(j - 1)*(j + 2)
Let q(c) be the third derivative of c**6/180 + 2*c**5/45 + c**4/12 + c**2 - 19*c. Find r, given that q(r) = 0.
-3, -1, 0
Let b(k) be the third derivative of -k**7/3150 + k**6/450 - k**5/150 + k**4/6 + 7*