*4 - 7/2*p**5 + y*p**3 + 0 - 9/2*p**2 + p = 0. What is p?
-1, 0, 2/7, 1
Let s(h) = h**3 - 7*h**2 - 7*h + 7. Let g be s(8). Suppose -c - g = -6*c. Factor -q + 0*q**c - q**3 + q**2 + 2*q**3 - 1.
(q - 1)*(q + 1)**2
Suppose 0 = -s + 5*s - 2*q - 8, -2*q = 2*s - 4. Factor 1/3 - 2/3*a + 1/3*a**s.
(a - 1)**2/3
Let v(k) be the first derivative of k**5/5 - k**4/4 - k**3/3 + k + 2. Let t(n) = -n**4 + 5*n**3 + n**2 - 2*n - 3. Let p(l) = t(l) + 3*v(l). Factor p(w).
2*w*(w - 1)*(w + 1)**2
Let u(g) be the first derivative of 2 - 2/3*g**3 + 2*g - g**2 + 1/2*g**4. Factor u(t).
2*(t - 1)**2*(t + 1)
Let n(t) = 2*t**3 + 4*t**2 - 3*t + 10. Let m be n(-3). Determine g so that 1/3*g**2 + m + 4/3*g = 0.
-3, -1
Let s = 329 - 4933/15. Solve 2/5*x**5 + 0 + 0*x - 2/15*x**4 - 2/5*x**3 + s*x**2 = 0.
-1, 0, 1/3, 1
Let g(y) be the third derivative of -1/1008*y**8 + 5*y**2 + 1/18*y**5 + 1/60*y**6 + 0*y + 1/2*y**3 - 7/24*y**4 + 0 - 1/210*y**7. Suppose g(h) = 0. What is h?
-3, 1
Let c(s) be the first derivative of -1/6*s**4 + 1/2*s**2 - 1/5*s**5 + 1/3*s + 1 - 1/18*s**6 + 2/9*s**3. Factor c(j).
-(j - 1)*(j + 1)**4/3
Let y(p) be the third derivative of 1/120*p**5 + 1/80*p**6 - 1/12*p**3 + 0*p + p**2 + 0 - 1/16*p**4. Find m, given that y(m) = 0.
-1, -1/3, 1
Suppose 0 = h + 5 - 28. Let t = -19 + h. Find p, given that 2*p**t + 0*p**2 + 0 + 0*p - 2/3*p**3 = 0.
0, 1/3
Let v(l) = -5*l. Let p(i) = i. Let t(n) = 11*p(n) + 2*v(n). Suppose -4*f + 3*f = -3. Let s(w) = w**2 - 4*w. Let g(q) = f*t(q) + s(q). Let g(h) = 0. Calculate h.
0, 1
Suppose -3*z + 2*z = 6. Let l = -3 - z. Find s such that 14*s**2 - s**3 + 12*s**3 - 4*s + s**l + 8*s = 0.
-2/3, -1/2, 0
Let f be 9/(-3)*(2 + -3). Find a such that 5*a**3 - 8*a**3 + 4*a**2 + 2*a - f*a**2 = 0.
-2/3, 0, 1
Factor 4*c**2 + 4/3 - 16/3*c.
4*(c - 1)*(3*c - 1)/3
Let h(n) = 2*n**2 + 10*n + 14. Let w be h(-2). Factor -1/3*r + 2/3*r**w - 1/3*r**3 + 0.
-r*(r - 1)**2/3
Let a(f) be the second derivative of -f**4/12 - f**3 - 9*f**2/2 + 6*f. Let a(z) = 0. Calculate z.
-3
Let i(x) = x**4 + 6*x**3 - 8*x - 3. Let v(d) = 2*d**4 + 11*d**3 - d**2 - 17*d - 7. Let r(y) = -5*i(y) + 3*v(y). Find p, given that r(p) = 0.
-3, -1, 2
Suppose -3*x - 3 = -3*p, 4*p - 5*x + 2 - 3 = 0. Let a be p/(-6) + 56/21. Solve 2/7*f**a + 2/7*f**3 - 2/7*f - 2/7 = 0.
-1, 1
Let t(o) = -3*o - 1. Suppose -3 = 6*g - 3*g. Let y be t(g). What is a in -7*a + a**4 + 30*a**3 - 3*a**2 + 4*a**4 - 23*a**3 - y = 0?
-1, -2/5, 1
Let s(o) be the third derivative of -1/24*o**4 + 0*o - 7*o**2 + 0 - 1/336*o**8 - 1/6*o**3 + 1/60*o**6 - 1/210*o**7 + 1/30*o**5. Suppose s(f) = 0. What is f?
-1, 1
Let l(z) be the third derivative of 0 - 2*z**2 + 0*z + 1/24*z**4 + 1/60*z**5 + 0*z**3. Factor l(i).
i*(i + 1)
Let h(f) be the second derivative of -3/2*f**2 + 0 - 5/4*f**3 - f - 3/40*f**5 - 1/2*f**4. Factor h(b).
-3*(b + 1)**2*(b + 2)/2
Let o(v) be the third derivative of 0*v - 1/540*v**6 - 1/360*v**5 + 0 + 2/3*v**3 + 1/72*v**4 + v**2. Let g(d) be the first derivative of o(d). Factor g(y).
-(y + 1)*(2*y - 1)/3
Let p be ((-1)/2)/((-1)/4). Factor -3*y**2 + 2*y**3 - 3*y + y + y**2 + p.
2*(y - 1)**2*(y + 1)
Let w = -5649/220 + 250/11. Let q = w + 16/5. Factor 1/2*j + 1/4*j**2 + q.
(j + 1)**2/4
Let n be (5 + 3)*2/6. Let w(c) be the first derivative of n*c**3 + 1/15*c**5 - 16/3*c**2 - 1 + 16/3*c - 2/3*c**4. Factor w(q).
(q - 2)**4/3
Let m(j) be the second derivative of -3*j**7/14 + j**6 - 5*j**4/2 + 3*j**3/2 - 28*j. Solve m(b) = 0.
-1, 0, 1/3, 1, 3
Let b be ((-6)/54)/((-2)/9). Factor -1/8*w**2 - 1/2 + b*w.
-(w - 2)**2/8
Let d**2 + 2*d**2 - d**2 - 3*d**2 + d**4 = 0. What is d?
-1, 0, 1
Factor -3*g - 6*g**3 - 2*g**4 - 6*g**2 + 6*g - 5*g.
-2*g*(g + 1)**3
Let y(s) be the third derivative of s**8/504 + 2*s**7/105 + 7*s**6/90 + 8*s**5/45 + s**4/4 + 2*s**3/9 - 9*s**2. Let y(x) = 0. What is x?
-2, -1
Factor 0*k + 0 + 0*k**2 + 19*k**4 + k**3 + 361/4*k**5.
k**3*(19*k + 2)**2/4
Factor 58*z**2 - 36*z**3 - 2*z**2 - 28*z**2 + 18 + 80*z - 2.
-4*(z - 2)*(z + 1)*(9*z + 2)
Let i(l) be the second derivative of -l**5/10 + l**3/3 - 6*l. Suppose i(a) = 0. Calculate a.
-1, 0, 1
Let r(s) = -3*s**2 - 11*s. Let b(l) = 3*l**2 - 5*l + 4*l + 7*l + 6*l. Let w(h) = 5*b(h) + 6*r(h). Determine o, given that w(o) = 0.
-2, 0
Let l(z) be the first derivative of -z**6/18 + 2*z**5/5 - 13*z**4/12 + 4*z**3/3 - 2*z**2/3 + 12. What is k in l(k) = 0?
0, 1, 2
Suppose -g + 0*g = 1. Let u(n) = -n**2 + n. Let l(y) = 8*y + 4. Let t(j) = g*l(j) + 2*u(j). Determine r, given that t(r) = 0.
-2, -1
Suppose 2*m = -8*m + 180. Factor 29*h**2 + 9/2*h**4 - m*h + 4 - 39/2*h**3.
(h - 2)*(h - 1)*(3*h - 2)**2/2
Let r(u) = -8*u**2 + 150*u - 1122. Let v(g) = 65*g**2 - 1200*g + 8975. Let i(f) = 25*r(f) + 3*v(f). Factor i(q).
-5*(q - 15)**2
Let -4*b**2 - 80*b + 145 - b**2 - 465 + 0*b**2 = 0. What is b?
-8
Let 0 + 3/8*n**3 + 3/2*n**2 + 3/2*n = 0. Calculate n.
-2, 0
Factor 55*i**4 + 9*i**2 + 6 + 0 - 58*i**4 - 3*i**3 + 15*i.
-3*(i - 2)*(i + 1)**3
Suppose -t + 6*t = 0. Suppose 4*d - d - 9 = t. Factor 3*v**2 - 2*v**3 - d*v**2 + 2*v**2.
-2*v**2*(v - 1)
Let n = 609 - 606. Let 0*j + 0 + 0*j**2 + 0*j**n - 2/3*j**4 = 0. What is j?
0
Factor 52/3*n + 32/3*n**2 + 4/3*n**3 + 8.
4*(n + 1)**2*(n + 6)/3
What is h in 288*h**2 + 11*h**4 + 768 - 716*h - 279*h - 8*h**4 - 48*h**3 + 227*h = 0?
4
Let w(c) = -c**5 - c**4 + c**2 - 1. Let t(s) = -7*s**5 - 9*s**4 + s**3 + 9*s**2 - 6. Let m(y) = -t(y) + 6*w(y). Factor m(j).
j**2*(j - 1)*(j + 1)*(j + 3)
Suppose -x + 229 = -2*x. Let r = x - -2065/9. Factor -r - 2/9*d**2 + 2/3*d.
-2*(d - 2)*(d - 1)/9
Suppose -2 - 8 = -5*k. Let w(r) be the third derivative of -1/12*r**6 + 0*r + 1/15*r**5 + 0 + 3*r**k + 0*r**4 + 0*r**3. Factor w(v).
-2*v**2*(5*v - 2)
Suppose -i + 4 - 9 = 0, -35 = -5*v + 3*i. Factor 2*r**5 + 4*r**4 - 16*r**2 - 24*r**3 + 32*r - 4*r**4 + v*r**4 + 2*r**5.
4*r*(r - 2)*(r - 1)*(r + 2)**2
Let k(t) = 5*t**2 - 3*t - 2. Let a(h) be the second derivative of -h**4/12 + h**3/6 + 6*h. Let q(c) = 6*a(c) + k(c). Factor q(n).
-(n - 2)*(n - 1)
Let q be 0/(-2) + (-2)/(-1). Factor -2 - 8*x + 8*x + q*x**2.
2*(x - 1)*(x + 1)
Let n be (-232)/10 - 3/(-15). Let z = 25 + n. Suppose 2/3*p**z + 0*p - 2/3 = 0. Calculate p.
-1, 1
Let k(g) be the first derivative of 3 + 1/30*g**6 + 2/15*g**3 - 1/5*g + 1/10*g**2 - 1/10*g**4 - 1/25*g**5. Factor k(p).
(p - 1)**3*(p + 1)**2/5
Let v(c) = -7*c**3 - 3*c**2 - 7*c. Let b(k) = 2*k**3 + k**2 + 2*k. Let p(i) = -22*b(i) - 6*v(i). Let p(m) = 0. Calculate m.
-1, 0
Let o(x) be the first derivative of x**7/945 + x**6/90 + 13*x**5/270 + x**4/9 + 4*x**3/27 + x**2/2 - 7. Let y(u) be the second derivative of o(u). Factor y(k).
2*(k + 1)**2*(k + 2)**2/9
Let q = 1465/11 + -133. Factor 0*f + 0 + 0*f**3 - 2/11*f**2 + q*f**4.
2*f**2*(f - 1)*(f + 1)/11
Let u(i) be the first derivative of 4/27*i**3 - i - 1 - 1/18*i**4 - 1/9*i**2. Let m(t) be the first derivative of u(t). Factor m(z).
-2*(z - 1)*(3*z - 1)/9
Let v = 4 + -2. Factor 6*w**3 + 0*w**v + 6*w**2 + 2*w + 2*w**4 + 0*w**2.
2*w*(w + 1)**3
Let l(r) = -11*r**4 - 9*r**3 + 7*r**2 + 5*r. Let h(d) = 32*d**4 + 28*d**3 - 22*d**2 - 14*d. Let g(w) = -5*h(w) - 14*l(w). Suppose g(c) = 0. What is c?
-3, 0, 2/3
Let r be (-2 + 1/1)*-2. Suppose 1 - 1 - 2*h**r + 4*h - 2*h**3 + 0 = 0. What is h?
-2, 0, 1
Let k(c) be the third derivative of c**5/110 - 3*c**4/44 - 4*c**3/11 - 12*c**2. Suppose k(n) = 0. Calculate n.
-1, 4
Factor 2/15 + 0*q**3 - 4/15*q**2 + 0*q + 2/15*q**4.
2*(q - 1)**2*(q + 1)**2/15
Let s(j) = j**3 - 5*j**2 + 4*j + 2. Let o be s(4). Suppose 0 = 2*l - 4*w - 32, w = o*l - w - 22. Factor -2 - 1 + 24*z**2 - l*z + 4 - 3*z - 16*z**3.
-(z - 1)*(4*z - 1)**2
Let g(v) be the third derivative of 0*v + 1/112*v**8 + 1/35*v**7 - 4*v**2 - 1/5*v**5 - 1/20*v**6 + v**3 + 0 + 1/8*v**4. Solve g(a) = 0.
-2, -1, 1
Let v(a) be the second derivative of 1/60*a**5 + a - a**2 + 0 + 0*a**3 + 0*a**4. Let i(d) be the first derivative of v(d). Find l, given that i(l) = 0.
0
Let r(o) be the third derivative of o**5/240 + o**4/12 + 2*o**3/3 + 3*o**2. Factor r(f).
(f + 4)**2/4
Let u be 6 + ((3 - 5)*3 - -5). Let -14/11*f**3 + 14/11*f**u - 4/11*f**4 + 0*f + 4/11*f**2 + 0 = 0. What is f?
-1, 0, 2/7, 1
Let u(v) be the third derivative of v**5/4 + 5*v**4/12 - 25*v**3/6 + 17*v**2. Factor u(p).
5*(p - 1)*(3*p + 5)
Let m(h) be the first derivative of h