*p**2 + k + 7/6*p.
(p + 1)*(5*p + 2)/6
Let i = -5 + 9. Let l be 5 + (10/5)/(-2). Factor -6*g**2 + 0*g**i - 2*g**4 + l*g**3 + 4*g**2.
-2*g**2*(g - 1)**2
Suppose 3*g - 2 = 4. Solve -3*z - 3*z**3 + z + z**3 - 4*z**g = 0 for z.
-1, 0
Suppose 32*r = 27*r + 10. Factor 1/5*b - 2/5*b**r + 0 - 1/5*b**3 + 2/5*b**4.
b*(b - 1)*(b + 1)*(2*b - 1)/5
Let l(b) be the first derivative of -b + b**2 - 1/3*b**3 + 3. Factor l(w).
-(w - 1)**2
Suppose -3*n + 9 = -0*n. Let k(w) be the third derivative of 0 + 0*w**4 + 2*w**2 - 1/150*w**5 + 0*w + 1/15*w**n. Factor k(j).
-2*(j - 1)*(j + 1)/5
Let b = 8 - 4. Factor 2*u**b - u + 11*u - 2*u - 5*u**3 - u**3.
2*u*(u - 2)**2*(u + 1)
Determine w, given that 48/13*w + 106/13*w**2 + 110/13*w**3 + 8/13 + 54/13*w**4 + 10/13*w**5 = 0.
-2, -1, -2/5
Let i(z) be the first derivative of -z**4/4 - z**3/3 - z**2/2 + 1. Let d(j) = -3*j**3 - 7*j**2 - 6*j. Let t(q) = d(q) - 6*i(q). Factor t(y).
y**2*(3*y - 1)
Determine g, given that 10*g**3 - 68*g**3 + 13*g**4 - 65*g**4 - 2*g**3 - 8*g**2 = 0.
-1, -2/13, 0
Let h(o) = 26*o**4 + o**3 - 8*o + 8. Let r(z) = -17*z**4 - z**3 + 5*z - 5. Let l(p) = 5*h(p) + 8*r(p). Let l(y) = 0. Calculate y.
-1/2, 0
Let r(w) be the third derivative of w**7/350 - w**6/100 + w**5/100 - 8*w**2. Determine m, given that r(m) = 0.
0, 1
Let z(j) = 3*j**2 + 7*j - 3. Let r be z(-3). Let 0*p**2 + 2*p**r - 8 - 8*p + 1/2*p**4 = 0. Calculate p.
-2, 2
Suppose -4*n = n - 10. Let v(l) = -l**3 + 2*l + 4. Let p be v(0). Suppose 2*g**n + g - 4*g - 3*g + p = 0. What is g?
1, 2
Let n be (-10)/(-4)*12/15. Determine s so that -4*s**2 + 0*s**n + 2*s**3 + s + s = 0.
0, 1
Let i(b) be the first derivative of b**6/3 - b**4 + b**2 + 15. Determine w, given that i(w) = 0.
-1, 0, 1
Let u(t) be the third derivative of 0*t**3 + 1/180*t**6 + 2*t**2 - 1/90*t**5 + 0 + 0*t - 1/18*t**4. Factor u(n).
2*n*(n - 2)*(n + 1)/3
Let d = -9/14 - -97/140. Let g(r) be the first derivative of -2 + 2/5*r + 0*r**3 + d*r**4 - 3/10*r**2. Factor g(w).
(w - 1)**2*(w + 2)/5
Let d(a) be the second derivative of -a**4/102 - 2*a**3/51 - a**2/17 + 22*a. Factor d(h).
-2*(h + 1)**2/17
Let h = 11 + -12. Let q(w) = -22*w**3 + 48*w**2 - 34*w + 6. Let j(y) = y**3 + y. Let r(g) = h*q(g) - j(g). Factor r(u).
3*(u - 1)**2*(7*u - 2)
Suppose -y = 4*y - 3*y. Let c(d) be the first derivative of -2/15*d**5 + 0*d + 2 + y*d**2 - 2/9*d**3 - 1/3*d**4. Factor c(t).
-2*t**2*(t + 1)**2/3
Let j(a) = 3*a - 9. Let o be j(3). Factor -2/9*w**4 + 0*w**2 + o - 2/9*w**3 + 0*w.
-2*w**3*(w + 1)/9
Let x(z) be the first derivative of -z**6/360 + z**3 + 3. Let f(t) be the third derivative of x(t). Determine o, given that f(o) = 0.
0
Let x(c) be the third derivative of 1/245*c**7 - 1/60*c**6 + 1/42*c**5 + 0*c**3 - 1/84*c**4 + 0 + 0*c - c**2. Factor x(i).
2*i*(i - 1)**2*(3*i - 1)/7
Let n(y) be the second derivative of -y**6/180 + y**5/24 - y**4/8 + 7*y**3/36 - y**2/6 + y. Factor n(x).
-(x - 2)*(x - 1)**3/6
Suppose -4*c + 11 + 5 = 0. Let -81*b - 19*b**2 - 62*b**2 - 3*b**c + 18*b**3 - 45*b**3 = 0. Calculate b.
-3, 0
Let z(s) be the third derivative of -s**7/3780 + s**6/1080 - 5*s**4/24 - 2*s**2. Let q(w) be the second derivative of z(w). Suppose q(j) = 0. What is j?
0, 1
Let l(q) = -q - 2. Let f be l(-6). Suppose -5*p = f*s - 23, s + 4*p - 14 + 0 = 0. Factor s*x + 2*x**2 + 0*x**2 + 0*x.
2*x*(x + 1)
Factor 0 + 4*d - 8*d - d**2 - 4.
-(d + 2)**2
Let -3*v**4 - 11 - 54*v**2 - 32*v - 13 + 53*v + 21*v**3 + 39*v = 0. Calculate v.
1, 2
Let h be (2 + -2)/((-6)/3). Factor -3*v**2 + 3 - 6*v**2 - 5*v + h*v - v.
-3*(v + 1)*(3*v - 1)
Let t(j) be the third derivative of j**5/100 + 7*j**4/20 + 49*j**3/10 - 47*j**2. Factor t(y).
3*(y + 7)**2/5
Let b(i) be the first derivative of i**5/10 - i**4/3 - i**3/3 + 2*i**2 + 8*i - 6. Let a(d) be the first derivative of b(d). Factor a(f).
2*(f - 2)*(f - 1)*(f + 1)
Let f = -85/4 + 603/28. Factor 2/7*t**2 + 0*t + f*t**3 + 0.
2*t**2*(t + 1)/7
Let o(a) = 2*a - 12. Let b be o(6). Find q such that -4/5*q**2 + 2/5*q**3 + b + 2/5*q = 0.
0, 1
Solve -2/5*s - 2/5*s**2 + 0 = 0 for s.
-1, 0
Let m(n) be the second derivative of 1/2*n**3 + 0*n**2 + 1/4*n**4 + 0 - 3*n. Factor m(g).
3*g*(g + 1)
Let m(s) be the second derivative of -s**7/84 + s**6/15 - 3*s**5/40 - 3*s - 3. Factor m(v).
-v**3*(v - 3)*(v - 1)/2
Let g(n) be the first derivative of -7/3*n**6 - 2/3*n**3 - 3 - 38/5*n**5 - 15/2*n**4 + 0*n + 2*n**2. Solve g(m) = 0 for m.
-1, 0, 2/7
Let q = 2 + -5. Let f = q - -6. Factor 0*y**3 + 3*y**f - 2*y**2 - y**3 + 2 - 2*y.
2*(y - 1)**2*(y + 1)
Suppose 3*d - 4*d = -106. Let b = d - 72. What is a in 5*a + 0 - 58*a**3 - b*a**5 + 2 - 62*a**4 + 2*a + 13*a**5 - 12*a**2 = 0?
-1, -2/7, 1/3
Determine s so that -2/7*s**2 - 4/7*s + 0 = 0.
-2, 0
Let d(y) = y - 4. Let g be d(4). Factor 30*f**2 + 9*f**3 + g + 12*f + 0 - 6*f**2.
3*f*(f + 2)*(3*f + 2)
Determine x, given that -393*x - 3*x**3 - 400*x + 814*x + 18*x**2 = 0.
-1, 0, 7
Let o(z) be the third derivative of -8*z**7/105 + z**6/15 + z**5/4 - z**4/3 + z**3/6 + 6*z**2. Factor o(g).
-(g - 1)*(g + 1)*(4*g - 1)**2
Suppose -2*l = s, 2*l = s + 3*l + 2. Let h be (-2)/s*(-4)/(-1). Factor 2*c**h - 2*c**2 + c + c**2.
c*(c + 1)
Let y = -3 - -5. Factor -2*v - 9*v**3 + 3*v - 3*v + 11*v**y.
-v*(v - 1)*(9*v - 2)
Let g(m) be the second derivative of -m**5/4 - 25*m**4/12 - 35*m**3/6 - 15*m**2/2 + 17*m. Factor g(y).
-5*(y + 1)**2*(y + 3)
Suppose 0 = 51*a - 46*a - 20. Let w(f) be the third derivative of 0*f - a*f**2 + 0 + 16/15*f**5 + 1/3*f**4 + 0*f**3 + 77/60*f**6 + 7/15*f**7. Factor w(q).
2*q*(q + 1)*(7*q + 2)**2
Let g(j) be the second derivative of j**5/240 + j**4/32 + j**3/12 - j**2/2 + 2*j. Let l(f) be the first derivative of g(f). Factor l(o).
(o + 1)*(o + 2)/4
Let q(s) be the first derivative of 1/2*s**2 - 3 + 0*s - 1/3*s**3. Solve q(h) = 0.
0, 1
Let u(i) = -6*i**3 - 4*i - 4. Let g(d) = -d**3 - d**2 - d - 1. Let j(c) = 4*g(c) - u(c). Find a such that j(a) = 0.
0, 2
Let p(r) be the second derivative of -r**6/150 + 2*r**5/75 - r**4/30 - r**2/2 + 2*r. Let a(f) be the first derivative of p(f). Factor a(c).
-4*c*(c - 1)**2/5
Let s = 59/480 - -1/96. Let b(x) be the first derivative of 0*x - s*x**3 - 2/25*x**5 + 2 - 1/5*x**4 + 0*x**2. Solve b(f) = 0.
-1, 0
Let p(x) = 2*x + 7. Let s be p(-5). Let g = s + 5. Suppose 0*w - 4/3*w**2 + g*w**5 - 16/3*w**4 + 14/3*w**3 + 0 = 0. Calculate w.
0, 2/3, 1
Let z be (-3)/(-1) + 3/(-3). Let n be (z + 1/(-1))/3. Determine d, given that 2/3*d**2 - n*d + 0 = 0.
0, 1/2
Suppose 28 = 4*r + 4*y, -3*r + 4*y + 13 = -y. Let l = -2 - -5. Factor -3*b**2 - 2 + 2*b**2 - 5*b**2 + 2*b**l + r*b.
2*(b - 1)**3
Solve 8*y**2 + 90*y + 10*y**2 - 70*y + 2 = 0 for y.
-1, -1/9
Let a(v) = -10*v**2 + 4. Let d be a(-2). Let r be (27/d)/((-3)/8). Find j such that 1/2*j**r + 1/2*j + 0 = 0.
-1, 0
Let d(o) be the second derivative of -1/18*o**4 + 2/9*o**3 - 1/3*o**2 - o + 0. Determine g, given that d(g) = 0.
1
Let j = 18 + -19. Let r(x) = x**2 + x. Let z be r(j). Let -2/5*h**5 + 2/5*h - 4/5*h**4 + 0 + 4/5*h**2 + z*h**3 = 0. What is h?
-1, 0, 1
Factor 3 - 111*y**2 + 112*y**2 - 3.
y**2
Let z = -6 - -10. Let u = -12 + 11. Let a(o) = 2*o**4 + 2*o**3 - 16*o**2 - 8*o - 4. Let h(f) = -f**4 + f**3 - 1. Let p(l) = u*a(l) + z*h(l). Solve p(t) = 0.
-1, -2/3, 0, 2
Let l(p) be the first derivative of -p**7/420 - p**6/60 + p**4/3 + 5*p**3/3 + 7. Let t(g) be the third derivative of l(g). Factor t(b).
-2*(b - 1)*(b + 2)**2
Determine q so that -18/11*q**3 + 18/11*q + 8/11*q**4 - 4/11 - 4/11*q**2 = 0.
-1, 1/4, 1, 2
Find y such that -10/7*y**3 + 10/7*y - 3/7 + 3/7*y**4 + 0*y**2 = 0.
-1, 1/3, 1, 3
Let l(w) = w**2 + 34*w + 25. Let r(o) = -15*o**2 - 475*o - 350. Let u(f) = -55*l(f) - 4*r(f). Factor u(j).
5*(j + 1)*(j + 5)
Let r(k) be the third derivative of -k**10/151200 - k**9/60480 + k**5/30 - k**2. Let c(l) be the third derivative of r(l). Find f, given that c(f) = 0.
-1, 0
Let w be ((-12)/(-5))/(1/5). Suppose -w = -m - 2*m. Factor -2*n**3 + n**m + 3*n**3 + n**2 - n**5 - 2*n**2 + 0*n**5.
-n**2*(n - 1)**2*(n + 1)
Let z(d) = -3*d**3 + d**2 + 2*d - 2. Let s be z(1). Let k be (s/12)/((-6)/18). Factor -1/2 - q**3 + 0*q**2 + q + k*q**4.
(q - 1)**3*(q + 1)/2
Let r(u) be the first derivative of -u**5/15 + u**4/6 - 23. Suppose r(b) = 0. Calculate b.
0, 2
Determine n so that 729/2 - 243/2*n - 1/2*n**3 + 27/2*n**2 =