11*a = 0.
-3, 0
Let p be ((-3)/(-9))/(3/(-36)). Let i be (-45)/12 - 0 - p. Factor -y**4 + 7/4*y**3 - i*y + 0 - 1/2*y**2.
-y*(y - 1)**2*(4*y + 1)/4
Let c(d) be the third derivative of d**8/30240 + d**7/3780 + d**6/1080 + d**5/10 + 3*d**2. Let y(v) be the third derivative of c(v). Factor y(a).
2*(a + 1)**2/3
Let y(a) be the second derivative of a**7/210 - a**5/50 + a**3/30 - a - 14. Factor y(q).
q*(q - 1)**2*(q + 1)**2/5
Let o(z) be the third derivative of -z**5/30 + z**4/4 + 6*z**2. Solve o(s) = 0.
0, 3
Let i(y) be the third derivative of 2/3*y**3 - 1/10*y**5 + 1/105*y**7 - y**2 + 0 - 1/60*y**6 + 0*y + 1/12*y**4. Let i(c) = 0. What is c?
-1, 1, 2
Let a(r) be the first derivative of -r**6/2 + 9*r**4/4 + 2*r**3 + 10. Find s, given that a(s) = 0.
-1, 0, 2
Let w(z) be the second derivative of z**5/80 - z**4/24 + 2*z. What is q in w(q) = 0?
0, 2
Let y = 6053/5 - 1219. Let m = -284/35 - y. Factor -2/7*z**2 + 2/7*z**3 - 2/7*z + m.
2*(z - 1)**2*(z + 1)/7
Let y(t) be the first derivative of 4 + 1/7*t**4 + 0*t + 2/21*t**3 - 2/35*t**5 - 2/7*t**2. Factor y(h).
-2*h*(h - 2)*(h - 1)*(h + 1)/7
Let m(t) be the third derivative of -t**7/525 - 2*t**6/75 - 7*t**5/150 - 2*t**2 - 2*t. Solve m(c) = 0 for c.
-7, -1, 0
Suppose 4*o + 4 = 3*s, 3*s - 8 = 2*o - 0*s. Suppose o*q = 6, 5*v - 5 = -2*q + 11. Determine f so that 0 - f**4 + 0*f + 3/2*f**3 - 1/2*f**v = 0.
0, 1/2, 1
Let t be 7/9 - (-2)/9. Suppose 4*k - 4*z = 16, -2*k - 5*z + t = -0. Determine p, given that -k*p - 4*p**3 + 6*p**2 + p + 0*p = 0.
0, 1/2, 1
Let c(x) = -8 - x + 5*x**2 + 3*x - 7*x + 2*x. Let o(a) = 4*a**2 - 2*a - 7. Let f(h) = -5*c(h) + 6*o(h). Find u such that f(u) = 0.
1, 2
Let o(u) = -3*u**2 - 11*u - 26. Let f(k) = 6*k**2 + 23*k + 50. Let x(g) = -4*f(g) - 7*o(g). Find c, given that x(c) = 0.
-3, -2
Factor -2/3*j**2 + 4/9*j + 2/9*j**4 + 0 + 0*j**3.
2*j*(j - 1)**2*(j + 2)/9
Let x be 7 + -6 - -3*3/(-12). Let p = 3/76 - -4/19. Factor 0 + x*q**2 - p*q.
q*(q - 1)/4
Let k = -7/47 + 209/141. Suppose -k*y + 0 + 2/3*y**2 = 0. What is y?
0, 2
Let v(q) be the second derivative of 0*q**3 + 2/5*q**6 + 0*q**2 + 9/20*q**5 - 2*q + 1/6*q**4 + 0 + 5/42*q**7. Let v(l) = 0. Calculate l.
-1, -2/5, 0
Suppose 0 = -3*y - 0*y + 6. Let q(g) = g + 3. Let z be q(0). Solve z*v**2 + 5 - y + 0 - 6*v = 0 for v.
1
Find o such that -o**2 + o**2 - 7*o**2 + 5*o**2 = 0.
0
Let f(j) = -30*j**4 - 35*j**3 - 55*j**2 + 25*j. Let n(v) = 5*v**4 + 6*v**3 + 9*v**2 - 4*v. Let o(a) = -4*f(a) - 25*n(a). Suppose o(c) = 0. What is c?
-1, 0
Suppose 5*u + 10 = 10*u. Factor -1/4 + 1/2*r**5 + 7/4*r**4 + 1/2*r**2 - 1/2*r + u*r**3.
(r + 1)**4*(2*r - 1)/4
Let g(m) be the first derivative of -1/15*m**5 - 1/9*m**3 + 0*m + 0*m**2 + 1/6*m**4 - 3. Let g(w) = 0. Calculate w.
0, 1
Let k = 26 - 44. Let h be 6/4*(-3)/k. Factor 0 + h*n - 1/2*n**2 + 1/4*n**3.
n*(n - 1)**2/4
Let h(g) be the second derivative of -g**5/10 + g**4/6 + g**3/3 - g**2 + 3*g. Solve h(x) = 0 for x.
-1, 1
Let i be (-1)/4 + 87/12. Let b = -3 + i. Factor 4*c**4 + 7*c**2 - 5*c**4 + 10*c**3 + 4*c**b - 4 - 4*c.
(c + 1)**2*(c + 2)*(3*c - 2)
Let l(r) be the third derivative of r**4/24 + r**2. Let c be l(2). Factor -3 + 12*s**c - 5 - 30*s**2 - 24*s.
-2*(3*s + 2)**2
Let r(q) be the first derivative of -q**8/3360 + q**6/360 - q**4/48 - 2*q**3/3 + 2. Let s(o) be the third derivative of r(o). Factor s(z).
-(z - 1)**2*(z + 1)**2/2
Let r(c) be the first derivative of -c**3/3 - c**2 - c - 10. Factor r(g).
-(g + 1)**2
Suppose -54*n + 58*n = 8. Solve -36/7 + 8*y**n + 10/7*y**3 + 66/7*y = 0 for y.
-3, 2/5
Let g = 0 + 2. Suppose -a - g + 5 = 0. Find n such that -3*n**4 - 8*n**2 - 3*n - a*n**2 - 9*n**3 + 2*n**2 = 0.
-1, 0
Let 22/5*p**3 + 16/15 + 68/15*p**2 - 6*p**4 - 24/5*p = 0. What is p?
-1, 2/5, 2/3
Let 2/5*j**3 - 2/5*j**4 + 0 + 2/5*j**2 - 2/5*j = 0. What is j?
-1, 0, 1
Let t(v) = 8*v**3 - 8*v**2 + 5*v. Let l be (-2*(-5)/(-2))/(-1). Let f(c) = 9*c**3 - 9*c**2 + 6*c. Let j(k) = l*f(k) - 6*t(k). Let j(y) = 0. What is y?
0, 1
Let a(u) = -6*u**5 - 6*u**4 + 6*u**3 + 26*u**2 + 12*u. Let m(i) = i**5 - i**2. Let d(l) = -a(l) - 4*m(l). Factor d(s).
2*s*(s - 2)*(s + 1)**2*(s + 3)
Let m(g) be the second derivative of g + 1/4*g**4 + 0 - 1/2*g**3 + 1/2*g**2 - 1/20*g**5. Factor m(l).
-(l - 1)**3
Factor -4*z + 2/3*z**2 + 10/3.
2*(z - 5)*(z - 1)/3
Let d(u) be the third derivative of -u**5/300 - u**4/40 - u**3/15 - 2*u**2 - 7. Factor d(h).
-(h + 1)*(h + 2)/5
Let y = -1 - -2. Factor -4*t**2 + 2*t**2 + 1 - y.
-2*t**2
Suppose 0*t + 1/6*t**3 + 0 + 1/3*t**4 + 0*t**2 + 1/6*t**5 = 0. What is t?
-1, 0
Let g(f) = f**2 + 11*f + 12. Let a be g(-10). Let w(k) be the second derivative of 0 + 0*k**a - k - 1/10*k**5 + 1/3*k**4 - 1/3*k**3. Factor w(h).
-2*h*(h - 1)**2
Let g(n) be the third derivative of n**11/166320 - n**5/30 - n**2. Let d(x) be the third derivative of g(x). What is c in d(c) = 0?
0
Let l be (6/(-15))/((-3)/(-45)). Let q be (-4)/3*l/4. Factor 2*m**q + 2*m + 1 - 1 + 0.
2*m*(m + 1)
Let q = -1/87 - -187/1131. Let 4/13*n - 4/13*n**3 + 0 + q*n**4 - 2/13*n**2 = 0. Calculate n.
-1, 0, 1, 2
Let b(t) = t**4 + t**3 + t**2 - t - 1. Let x(g) = -12*g**4 - 6*g**3 - 12*g**2 + 10*g + 10. Let l(p) = -10*b(p) - x(p). Find i, given that l(i) = 0.
0, 1
Let h(f) be the third derivative of 5*f**8/336 + 11*f**7/105 + 23*f**6/120 - 7*f**5/30 - 7*f**4/6 - 4*f**3/3 + 2*f**2. Determine x, given that h(x) = 0.
-2, -1, -2/5, 1
Let a(c) = -c**4 - 3*c**3 - 4*c - 4. Let k(n) = -n**4 - n - 1. Let o(v) = -a(v) + 4*k(v). Solve o(y) = 0 for y.
0, 1
Factor 3/5*q**2 + 12/5*q + 12/5.
3*(q + 2)**2/5
Let l be 7/(-10)*2 + 6/2. Let j = -81/10 + 17/2. Factor -l*v**3 + 6/5*v + 0*v**2 - j.
-2*(v + 1)*(2*v - 1)**2/5
Factor -7*v**2 - 7*v**2 + 11*v**2 - 3*v**3.
-3*v**2*(v + 1)
Let c(w) = w + 10. Let g be c(-6). Suppose g*v - 8 = -0. Suppose -4*o**5 - o + 0*o**5 + 12*o**3 + 2 - 5*o - 2*o**5 + v*o**4 - 4*o**2 = 0. Calculate o.
-1, 1/3, 1
Let c(w) be the second derivative of -1/75*w**6 + 0*w**2 - 2/105*w**7 + 0*w**3 + 1/50*w**5 - 3*w + 0*w**4 + 0. Factor c(n).
-2*n**3*(n + 1)*(2*n - 1)/5
Suppose -2 + 0 = -z. Factor 0*h**z + 0*h + 0 - 2/3*h**4 + 2/3*h**3.
-2*h**3*(h - 1)/3
Suppose j = -0 + 3. Determine w so that -22*w - 5 - 2*w**3 + w**3 - 6*w**2 - j + 10*w = 0.
-2
Let n(d) = 4*d**2 + 44*d + 42. Let t be n(-10). Factor -2/7*w**t + 0 + 4/7*w.
-2*w*(w - 2)/7
Let g = 9 - 6. Factor 3*p - p - 2*p**g + 2*p**4 + 2*p**2 - 4*p**2.
2*p*(p - 1)**2*(p + 1)
Let l(j) = j**2 - j - 5. Let u(b) = b**2 - b - 6. Let i(o) = -4*l(o) + 3*u(o). Determine y, given that i(y) = 0.
-1, 2
Suppose h = l - 4, l - 4*h - 12 = -h. Let u = 298 + -1489/5. Find c, given that -1/5*c**3 + u*c + 0 + l*c**2 = 0.
-1, 0, 1
Suppose g = 2 + 1. Suppose 4*w**2 - 6*w**2 + g*w + w**2 - 1 - w = 0. Calculate w.
1
Let j(l) = -2*l - 24. Let o be j(-15). Let d(s) be the second derivative of 2*s + 0*s**4 + 1/60*s**o - 1/6*s**3 + 1/20*s**5 - 1/4*s**2 + 0. Factor d(u).
(u - 1)*(u + 1)**3/2
Let x(a) be the second derivative of -3*a**5/50 + 7*a**4/30 + 7*a**3/15 - 3*a**2/5 - 3*a. Determine g so that x(g) = 0.
-1, 1/3, 3
Factor 10/3*w**2 - 34/3*w + 4.
2*(w - 3)*(5*w - 2)/3
Let r(j) = -32*j**5 + 40*j**4 - 16*j**3 + 2*j**2 + 6*j - 6. Let n = 10 - 4. Let o(y) = -y + 1. Let u(g) = n*o(g) + r(g). Solve u(c) = 0 for c.
0, 1/4, 1/2
Let r(y) be the first derivative of 4*y**3/3 - 6*y**2 + 8*y + 6. Let r(n) = 0. What is n?
1, 2
Solve -9*v**2 - 4*v**3 - 8*v - 1/2*v**4 - 5/2 = 0 for v.
-5, -1
Let y(p) be the first derivative of -p**5/10 - p**4/2 - p**3 - p**2 - p/2 - 22. Factor y(o).
-(o + 1)**4/2
Let q = -2/403 + 4441/1612. Factor 7/4*b**3 + q*b - 4*b**2 - 1/2.
(b - 1)**2*(7*b - 2)/4
Factor 3/5*d**3 + 0*d**2 + 0 - 3/5*d.
3*d*(d - 1)*(d + 1)/5
Let w be 0 - (0 + -2)*13/65. Factor 0*q + w*q**3 + 0 - 4/5*q**2.
2*q**2*(q - 2)/5
Let j(u) = -4*u**2 + 2*u. Let f(i) = 9*i**2 - 2*i. Let l(g) = -2*f(g) - 5*j(g). Factor l(k).
2*k*(k - 3)
Suppose 0 = 2*f - 6*f + 2*f. Let u(o) be the second derivative of 1/36*o**4 - 1/60*o**5 - 1/6*o**2 + f + 1/18*o**3 - o. Suppose u(n) = 0. Calculate n.
-1, 1
Let l = 60353/84968 - -1/4472. Let a = l - 4/19. Find k, given that a*k**3 - 1/2 + 3/2*k - 3/2*k**2 = 0.
1
Suppose -49*s = -48*s - 4. Let g(q) be the first derivative of -1 - q**s - 2/5*q**5 + 0*q - 2/3*q**3 + 0*q**2. What is l in g(l) = 0?
-1, 0
Suppose 3*g = 3 + 6. Su