p**4 + v*p**2 + 1/2*p**3 + 0 + 0*p = 0. Calculate p.
-2, 0
Factor 1/3*v + 0 + 1/3*v**3 - 2/3*v**2.
v*(v - 1)**2/3
Let p(x) = -6 - x - 2 + 10. Let z be p(0). Factor o**z - 2/5 - 3/5*o.
(o - 1)*(5*o + 2)/5
Factor 0 - 3*k**4 + 3/4*k - 3*k**2 + 3/4*k**5 + 9/2*k**3.
3*k*(k - 1)**4/4
Let x(g) = g**3 + 3*g**2 - g + 3. Let w be x(-3). Let s be w/9*(-3)/(-4). Suppose -1/2*z**2 + 0*z + s*z**4 + 0 - 1/2*z**3 + 1/2*z**5 = 0. Calculate z.
-1, 0, 1
Suppose -10/3*m**4 + 0*m + 10/3*m**2 + 15*m**3 + 0 - 15*m**5 = 0. Calculate m.
-1, -2/9, 0, 1
Let y = 2999/404850 - 2/2699. Let i(o) be the third derivative of 0*o - 2*o**2 - y*o**5 + 0*o**3 + 0 + 1/60*o**4. Solve i(k) = 0 for k.
0, 1
Let u be 529/(-231) - 8/(-12). Let r = 21/11 + u. Find g, given that -6/7*g + r*g**2 + 4/7 = 0.
1, 2
Let h = -15 + 23. Suppose 0*g + h = 4*g. Factor -2*o**g - 2*o**2 + 5*o**2.
o**2
Let d be 1/(-8) + 150/432. Let -d*y + 2/9*y**3 + 2/9*y**2 - 2/9 = 0. Calculate y.
-1, 1
Let z(g) be the first derivative of -7 + 2/15*g**5 + 4/3*g**3 - 2/3*g**4 + 2/3*g - 4/3*g**2. Solve z(n) = 0 for n.
1
Let p(v) be the first derivative of 4*v**3/3 - 4*v**2 + 4*v - 5. Factor p(d).
4*(d - 1)**2
Let h(w) be the first derivative of 5*w**3/3 - 15*w**2/2 + 10*w + 21. Factor h(q).
5*(q - 2)*(q - 1)
Let b(v) be the second derivative of 3/10*v**2 - 2/35*v**7 + 0 + 3/50*v**5 - 5*v + 7/50*v**6 + 1/5*v**3 - 2/5*v**4. Suppose b(p) = 0. What is p?
-1, -1/4, 1
Let i(n) be the first derivative of -3*n**4 - 8*n**3/3 + 6*n**2 + 8*n - 11. Factor i(r).
-4*(r - 1)*(r + 1)*(3*r + 2)
Factor 1/4*v - 1/2 - 1/4*v**3 + 3/4*v**2 - 1/4*v**4.
-(v - 1)**2*(v + 1)*(v + 2)/4
Let a(d) = -d**2. Let m(z) = 2*z**2 + 2*z. Let q be (-5 - -2)/(-1 - 2). Let t(j) = q*m(j) + 4*a(j). Factor t(x).
-2*x*(x - 1)
Let p(u) be the third derivative of 1/9*u**4 - 7/180*u**6 + 0*u**3 + 0*u + 0 + 4*u**2 - 1/63*u**7 + 4/45*u**5. Suppose p(m) = 0. What is m?
-2, -2/5, 0, 1
Let a(g) be the first derivative of -g**7/280 - g**6/480 + 2*g**2 + 3. Let k(t) be the second derivative of a(t). Factor k(l).
-l**3*(3*l + 1)/4
Let u be (6/(-8))/((-2)/8). Factor c**u + 0*c**2 - 2*c + 0*c + c**4 + c - c**2.
c*(c - 1)*(c + 1)**2
Let g(a) be the second derivative of -2*a**7/21 + 8*a**6/15 - 4*a**5/5 - 2*a**4/3 + 10*a**3/3 - 4*a**2 - 4*a + 3. Factor g(d).
-4*(d - 2)*(d - 1)**3*(d + 1)
Let j(f) be the second derivative of -f**4/28 + 2*f**3/7 - 9*f**2/14 + 8*f. Find a such that j(a) = 0.
1, 3
Let v = -19 + 9. Let m be 1/(-2) + v/(-12). Factor m*t - 1/3 - 1/3*t**3 + 1/3*t**2.
-(t - 1)**2*(t + 1)/3
Let m = 31 - 28. Suppose -4*r = -0*r - m*z, 2*r = -z. What is y in 3/2*y**5 - 3/2*y**3 + 0 - 3/2*y**2 + 3/2*y**4 + r*y = 0?
-1, 0, 1
Let s = 49 - 97/2. Suppose s*y - y**2 - y**3 + 1/2*y**4 + 1/2*y**5 + 1/2 = 0. What is y?
-1, 1
Let x(w) be the third derivative of -w**8/33600 + w**7/4200 + w**4/6 + 5*w**2. Let b(d) be the second derivative of x(d). Factor b(n).
-n**2*(n - 3)/5
Let g(s) be the second derivative of s**6/30 - s**5/2 + 13*s**4/12 + 10*s**3 + 18*s**2 - 2*s. Factor g(l).
(l - 6)**2*(l + 1)**2
Let o(r) be the second derivative of 5*r**7/42 - r**6/6 - r**5/2 + 5*r**4/6 + 5*r**3/6 - 5*r**2/2 + 11*r. Suppose o(n) = 0. Calculate n.
-1, 1
Let s be (8 - 9)*1/2*-1. Solve 0*p**3 - 1/2*p**4 + 0 + s*p**2 + 0*p = 0.
-1, 0, 1
Suppose -3*n - 24 = 5*z, 4*z + 5*n - 2 = -16. Let h = z + 8. Determine r, given that 4/5*r**h - 2/5 - 2/5*r = 0.
-1/2, 1
Let d(x) be the second derivative of 3*x**5/140 + 5*x**4/28 + 4*x**3/7 + 6*x**2/7 - 7*x. Determine m, given that d(m) = 0.
-2, -1
Let j(u) be the third derivative of u**5/12 - 5*u**4/4 + 20*u**3/3 - u**2 + 22. Find l, given that j(l) = 0.
2, 4
Let r(k) = k + 25. Let c be r(-22). Let d be ((-8)/28)/((-3)/7). What is x in 1/3 - 1/3*x**4 + 2/3*x + 0*x**2 - d*x**c = 0?
-1, 1
Let n(c) be the first derivative of -1/8*c**3 - 1/48*c**4 - 1/4*c**2 + 2*c + 1. Let y(w) be the first derivative of n(w). Factor y(x).
-(x + 1)*(x + 2)/4
Let l = -150 + 150. Factor 1/2*s + l + 1/2*s**2.
s*(s + 1)/2
Let f = 0 + 2. Suppose d + 4*r - 18 = 0, -4*r = -3*d + r - 14. Suppose f - 6*l + 3 + 3*l**d - 4 + 2 = 0. What is l?
1
Let r be -2 - -4 - 0 - -2. Find m such that -r*m**3 - 2*m**4 + 3*m**4 - 2*m**2 + m**4 - 4*m**4 = 0.
-1, 0
Let x = 255001 - 2297261/9. Let w = -250 - x. Solve -2/9*u**3 - 2/3*u + w + 2/3*u**2 = 0.
1
Let m(a) be the third derivative of a**7/140 + a**6/40 + a**5/40 + 4*a**2. Find k such that m(k) = 0.
-1, 0
Let s(m) = -m**3 + 4*m**2 + 14*m + 4. Let a be s(6). Factor -2*u - a*u**2 - 77/2*u**3 + 0 - 49/2*u**4.
-u*(u + 1)*(7*u + 2)**2/2
Let h(m) be the third derivative of -1/200*m**6 + 0*m + 0 - 4*m**2 + 1/40*m**4 + 0*m**5 + 0*m**3. Let h(c) = 0. What is c?
-1, 0, 1
Let z(x) be the second derivative of -2*x**7/105 + 2*x**6/15 - 9*x**5/25 + 7*x**4/15 - 4*x**3/15 + 2*x. Solve z(d) = 0 for d.
0, 1, 2
Let w be -3*6/243*-6 + 0. Determine f so that -2/9*f - 2/3*f**2 + 2/9*f**3 + 2/9*f**4 + w = 0.
-2, -1, 1
Let f be 36/210 + -2 + 24/10. Solve -2/7 + f*y**3 + 0*y**2 - 4/7*y + 2/7*y**4 = 0.
-1, 1
Let t(v) be the first derivative of v**7/1680 + v**6/360 + v**5/240 + v**3/3 + 6. Let d(s) be the third derivative of t(s). Factor d(c).
c*(c + 1)**2/2
Let n = 1020 + -9176/9. Suppose 0 + 10/9*g**2 - n*g - 4/9*g**4 - 2/9*g**3 = 0. What is g?
-2, 0, 1/2, 1
Let c(y) = y**3 + y**2. Let f(i) = 4*i**4 + 12*i**3 + 16*i**2 - 64*i. Let x(u) = -16*c(u) - f(u). Factor x(m).
-4*m*(m - 1)*(m + 4)**2
Let s = 14 + -12. Determine t, given that 2/3*t**4 + 0 + 8/3*t**5 + 0*t - 8/3*t**3 - 2/3*t**s = 0.
-1, -1/4, 0, 1
Let d(q) be the third derivative of 2/3*q**3 - 1/15*q**5 + 5*q**2 - 1/12*q**4 + 1/60*q**6 + 0 + 0*q. Let d(s) = 0. What is s?
-1, 1, 2
Suppose 0 = -5*q - 3*p + p + 4, 0 = q + p + 1. Let d(s) = -s - 4. Let m be d(-6). Let 2 + c**q - 2*c**m - c**2 = 0. Calculate c.
-1, 1
Let p(h) be the first derivative of 0*h - 5 - 1/4*h**3 + 1/8*h**2. Solve p(v) = 0.
0, 1/3
Let l be (5 + -7)*21/(-6). Let c be 11/l + 2/(-2). Factor 0*m**2 + c*m**3 + 0 + 0*m**4 - 2/7*m**5 - 2/7*m.
-2*m*(m - 1)**2*(m + 1)**2/7
Let l(s) = 2*s**2 - 13*s. Let j(q) = -q**2 + 14*q. Let w(a) = -3*j(a) - 4*l(a). Suppose w(v) = 0. Calculate v.
0, 2
Let k(i) = -i**4 - i**3 - i**2 + i. Let r(w) = 18*w**4 + 3*w**3 - 22*w**2 - 3*w. Let t(g) = -2*k(g) + r(g). Solve t(c) = 0 for c.
-1, -1/4, 0, 1
Let v(u) be the first derivative of -3 + 0*u - 5/2*u**6 + 0*u**2 - 3/2*u**4 - 21/5*u**5 + 0*u**3. What is z in v(z) = 0?
-1, -2/5, 0
Let q(z) = z**3 + 18*z**2 + 17*z + 3. Let u be q(-17). Let s(g) be the first derivative of 1/2*g**2 - 1 + 0*g - 1/3*g**u. Factor s(o).
-o*(o - 1)
Let g be 6/(-16)*2/(-9). Let k(v) be the second derivative of 1/20*v**5 - 1/12*v**4 + 0 - 2*v + 1/60*v**6 + 1/4*v**2 - 1/84*v**7 - g*v**3. Solve k(w) = 0.
-1, 1
Suppose -4*j + 2*m + 16 = 0, -5*j - 4*m + 3 = 9. Let l(x) be the second derivative of 0*x**3 + 0*x**5 + 1/15*x**6 - 1/3*x**4 + x**j - x + 0. Factor l(q).
2*(q - 1)**2*(q + 1)**2
Let b(d) be the third derivative of d**6/240 - d**4/16 + d**3/6 + 39*d**2. Factor b(r).
(r - 1)**2*(r + 2)/2
Let m(f) be the third derivative of 1/12*f**4 - 1/60*f**6 + 0*f + 0*f**3 + 2*f**2 + 0 - 1/105*f**7 + 1/30*f**5. Determine l, given that m(l) = 0.
-1, 0, 1
Let j be 1/(-3) - 260/(-726). Let d = 41/121 + j. Factor d*v + 2/11 + 2/11*v**2.
2*(v + 1)**2/11
Let y(j) be the first derivative of 6*j**4 + 10*j**3 + 17*j**2/3 + 4*j/3 + 2. Solve y(g) = 0.
-2/3, -1/3, -1/4
Let g(c) be the first derivative of 0*c + 2*c**3 + 2*c**2 + 0*c**4 - 2/5*c**5 - 1. Factor g(w).
-2*w*(w - 2)*(w + 1)**2
Let r(b) = -3*b**2 - 6*b + 9. Let d(y) = 21*y**2 + 42*y - 63. Let z(n) = 2*d(n) + 15*r(n). Factor z(j).
-3*(j - 1)*(j + 3)
Let y(u) = u**2 - u - 25. Let l be y(6). Let i(f) be the third derivative of f**2 + 0*f**4 + 0*f + 0 - 1/90*f**l + 1/9*f**3. Factor i(z).
-2*(z - 1)*(z + 1)/3
Let a(f) be the first derivative of f**4/2 + 8*f**3/3 + 4*f**2 + 5. Solve a(x) = 0 for x.
-2, 0
Let c(n) be the second derivative of -n**6/120 - 3*n**5/40 - n**4/12 + n**3/4 + 5*n**2/8 - 12*n. Factor c(r).
-(r - 1)*(r + 1)**2*(r + 5)/4
Let d(p) be the second derivative of 0 + 0*p**3 + 0*p**2 - 8*p - 1/75*p**6 + 1/50*p**5 + 0*p**4. Factor d(r).
-2*r**3*(r - 1)/5
Let m be 3*(-46)/12*-2. Suppose 0 = 3*q - 4*l - m, 3*l + 2 + 31 = 4*q. Factor -81/4*h**2 - q*h - 1.
-(9*h + 2)**