3 = 0. Calculate n.
-2, 0
Solve 2/17*t**2 - 4/17*t + 0 = 0.
0, 2
Let z(l) = l**5 - 2*l + l**2 + 2 + 0 + 3*l**3 - l**2. Let t(c) = -6*c**5 - 16*c**3 + 11*c - 11. Let u(k) = 2*t(k) + 11*z(k). Factor u(n).
-n**3*(n - 1)*(n + 1)
Factor -1/5*v**3 - 1/5*v**2 + 0 + 0*v + 1/5*v**5 + 1/5*v**4.
v**2*(v - 1)*(v + 1)**2/5
Let j = -451/4 + 113. Factor -1/2*q + 1/4 + 0*q**2 + 1/2*q**3 - j*q**4.
-(q - 1)**3*(q + 1)/4
Let w be (0 - 7/3) + 3. Factor w*k**2 + 1/3*k + 0.
k*(2*k + 1)/3
Determine v so that 1/4*v**2 - 2 - 7/4*v = 0.
-1, 8
Let w(y) = -y**2 - 1. Let p(t) = 12*t**2 - 18*t - 12. Let c(f) = p(f) + 15*w(f). Suppose c(r) = 0. Calculate r.
-3
Let w(t) = t - t**2 + 0*t**2 - 3*t**2 + 3*t**2. Let o(f) = -2*f**2 + f. Let z(q) = 4*o(q) - 5*w(q). Factor z(k).
-k*(3*k + 1)
Let q(j) = 5*j**3 - j**3 + 2*j + 2*j**2 - 1 + j**2 - 5*j**2. Let r be q(1). Factor -u**r + u - 2*u**3 - 4*u**2 + 4*u**3 + 2*u**3.
u*(u - 1)*(3*u - 1)
Let p(o) = -49*o**2 + 3*o + 1. Let s = 58 + -32. Let g(u) = 196*u**2 - 13*u - 3. Let r(c) = s*p(c) + 6*g(c). Factor r(w).
-2*(7*w - 2)*(7*w + 2)
Let i(x) = x**2 + 1. Let l(w) = w**3 + 10*w**2 + 7*w + 8. Let d(f) = 10*i(f) - 2*l(f). Factor d(u).
-2*(u + 1)**2*(u + 3)
Let k be (-20)/(-6)*(-2)/(-30). Factor 0 - 2/9*d + k*d**4 + 2/9*d**3 - 2/9*d**2.
2*d*(d - 1)*(d + 1)**2/9
Let l = 164 - 1146/7. Determine k, given that 0 + 2/7*k + l*k**2 = 0.
-1, 0
Let z be -6*(1/2)/(-1). Let i = -1 + z. Factor -2*w**2 + i - 2.
-2*w**2
Let u(s) = -2*s**2 - 6*s + 2. Let j(p) = -5*p**2 - 17*p + 5. Let c(l) = 6*j(l) - 17*u(l). Factor c(k).
4*(k - 1)*(k + 1)
Let t(l) be the first derivative of l**6/3 - 4*l**5/5 - l**4/2 + 4*l**3/3 + 4. What is c in t(c) = 0?
-1, 0, 1, 2
Let o = -39 + 44. Suppose 2*a - 4 + 2 = 0, -o*a + 9 = y. Suppose 1/2*r**2 + 0*r - 1/4*r**y + 0*r**3 - 1/4 = 0. What is r?
-1, 1
Let l be (-1)/3*(-3 + 2). Let l*s**4 - s**3 - 1/3*s + s**2 + 0 = 0. Calculate s.
0, 1
Let u(k) = k**2 + 2*k + 1. Let y be u(-3). Let c(v) = 9*v**3 - v**2 + v - 1. Let b be c(1). Factor b*n**3 + 12*n**2 + 3*n**3 - 30*n**y - 5*n + n - 25*n**5.
-n*(n + 1)**2*(5*n - 2)**2
Factor -1 + 1 - 4 + 284*v**2 - 280*v**2.
4*(v - 1)*(v + 1)
Let d(s) be the first derivative of -1/22*s**4 - 9/11*s**2 + 8/11*s + 3 + 4/11*s**3. Factor d(u).
-2*(u - 4)*(u - 1)**2/11
Suppose -5*z = 3*b - 29, 5*z = 5*b + 3 + 2. Suppose 5*w - 11 = -1. Suppose -a**4 + 0*a**3 - a**2 - w*a**b + 0*a**4 = 0. What is a?
-1, 0
Let p(l) = -l**2 - 2*l + 3*l + 1 + 0*l. Let q(t) = -4*t**2 + 5*t + 4. Suppose 5*z - 4 = 1. Let a(i) = z*q(i) - 5*p(i). Factor a(j).
(j - 1)*(j + 1)
Let l(c) be the second derivative of 0 + 1/21*c**3 + 4*c + 0*c**2 + 1/42*c**4. Factor l(f).
2*f*(f + 1)/7
Let n(y) be the second derivative of y**6/90 + y**5/20 + y**4/12 + y**3/18 + 16*y. Factor n(t).
t*(t + 1)**3/3
Let w(k) be the third derivative of -5*k**2 + 3/5*k**5 + 1/3*k**3 + 0 - 7/12*k**4 + 0*k - 1/56*k**8 - 11/30*k**6 + 13/105*k**7. Factor w(q).
-2*(q - 1)**4*(3*q - 1)
Let m(q) be the third derivative of 0*q**3 - 1/420*q**6 + 3*q**2 + 0*q + 0*q**4 + 0*q**5 + 1/735*q**7 + 0. Factor m(v).
2*v**3*(v - 1)/7
Suppose -4*n + 4*r - 52 = 0, 3*r - 59 = 2*n + 3*n. Let v(s) = -s**3 - 10*s**2 + 3. Let j be v(n). Factor 6/5*k**2 - 2/5*k - 4/5*k**j + 0.
-2*k*(k - 1)*(2*k - 1)/5
Factor -50/9*z**2 - 4/9 + 10/3*z.
-2*(5*z - 2)*(5*z - 1)/9
Determine f so that -9*f**2 + 2*f + 10*f**2 - 4*f**3 - f**4 + 2*f**3 = 0.
-2, -1, 0, 1
Factor -2/3*l**2 - 4/3*l**3 + 2/3*l**4 + 0 + 1/3*l**5 + l.
l*(l - 1)**2*(l + 1)*(l + 3)/3
Factor 2/7*s**2 + 0 - 4/7*s.
2*s*(s - 2)/7
Let t(q) = 10*q**2 + 228*q + 1464. Let k(f) = 4*f**2 + 91*f + 586. Let j(v) = -12*k(v) + 5*t(v). Factor j(g).
2*(g + 12)**2
Let g(j) be the third derivative of -j**6/40 - j**5/10 + j**4/8 + j**3 - 8*j**2. Determine m so that g(m) = 0.
-2, -1, 1
Factor 39/2*a - 507/4 - 3/4*a**2.
-3*(a - 13)**2/4
Let v(t) be the first derivative of t**4/34 - 18*t**3/17 + 243*t**2/17 - 1458*t/17 - 6. Factor v(j).
2*(j - 9)**3/17
Suppose 4*j - 3 = 5. Factor 3*z**5 + 10*z - 11*z**4 + 2*z**4 - z**5 + 20*z**3 - 20*z**2 - z**4 - j.
2*(z - 1)**5
Let o be (-2)/(-5) - ((-45)/(-50) + -1). Find l, given that 1/2*l**2 + 3/2*l**4 + o*l**5 + 3/2*l**3 + 0*l + 0 = 0.
-1, 0
Let -2/3*c**2 + 10/3*c + 0 = 0. What is c?
0, 5
Let l(r) be the second derivative of 1/6*r**4 + 0*r**2 + 0 - 8*r + 0*r**3. Factor l(v).
2*v**2
Suppose 4*f - 24 = -2*t, -3*t + 2*t = -f. Suppose -2 - 2*p**4 - 4*p + 0*p**f + 4 + 4*p**3 = 0. What is p?
-1, 1
Suppose -3*m + 4*n - 6 = 2*m, -2*m - 2*n = -12. Find s such that 3*s**2 - s - 3*s**2 - m*s**4 + s**5 + 2*s**2 = 0.
-1, 0, 1
Let o(q) be the third derivative of q**8/112 + 3*q**7/70 + q**6/40 - 3*q**5/20 - q**4/4 - 3*q**2 - 4*q. Factor o(a).
3*a*(a - 1)*(a + 1)**2*(a + 2)
Let s = 18 - 8. Suppose 2*x = 3*j - 6, 5*j + 0*x - s = 2*x. Determine k so that -k**2 - 3*k**2 + 3*k**j - 2*k**3 - k**4 = 0.
-1, 0
Let d(y) be the third derivative of -y**6/100 - y**5/30 + y**4/30 - 8*y**2. Let d(i) = 0. Calculate i.
-2, 0, 1/3
Let m(g) = g**4 - g**2 + g + 1. Let l(h) = -8*h**3 + h**2 + h - 2. Let i(c) = -l(c) - 4*m(c). What is a in i(a) = 0?
-1/2, 1, 2
Let c = -10 + 18. Factor -3*f**3 + 9*f + c + 2*f**3 + 9*f + 3*f**3 + 12*f**2.
2*(f + 1)**2*(f + 4)
Let d = 288 + -1145/4. Let w(a) = -a**3 + 2*a + 2. Let y be w(0). Determine n, given that 1/4 + 3/4*n**3 + d*n**y + 5/4*n = 0.
-1, -1/3
Let w(g) be the second derivative of 0 + 1/3*g**2 + 1/30*g**5 + 7/18*g**3 + 7/36*g**4 - 5*g. Factor w(o).
(o + 1)*(o + 2)*(2*o + 1)/3
Let b(q) be the first derivative of -1/18*q**3 + q - 1/36*q**4 + 3 + 0*q**2. Let t(k) be the first derivative of b(k). Factor t(w).
-w*(w + 1)/3
Let x(c) be the first derivative of -c**6/75 + c**5/25 + c**4/30 - 2*c**3/15 + 2*c + 3. Let t(n) be the first derivative of x(n). Suppose t(a) = 0. Calculate a.
-1, 0, 1, 2
Let y(p) be the first derivative of -4*p**5/5 - 2*p**4 - 5*p**3/3 - p**2/2 - 22. Factor y(x).
-x*(x + 1)*(2*x + 1)**2
Let b(v) = -v**2 + 10*v + 14. Let f be b(11). Let c(u) be the first derivative of 3/4*u**2 - u**f + 0*u - 1 + 3/8*u**4. Solve c(r) = 0.
0, 1
Let b(a) = a**2 + 18*a + 49. Let p be b(-15). Solve 6*r**2 + 0 - 35/4*r**5 + 31/4*r**3 - 6*r**p + r = 0 for r.
-1, -2/5, -2/7, 0, 1
Let p = -111 - -557/5. Let n be -1*1 + (-14)/(-10). Let p*u + 0 - n*u**2 = 0. Calculate u.
0, 1
Let j(n) = 7 - 3*n**2 + 2*n**2 - n**2 + 5*n. Let y(c) = -2*c**2 + 6*c + 8. Let f(b) = 6*j(b) - 5*y(b). Suppose f(m) = 0. What is m?
-1, 1
Let i be (8/20)/((-3)/(-30)). Let t(s) be the third derivative of 0*s**3 + 0*s + 1/72*s**i - 2*s**2 + 1/180*s**5 + 0. Find k, given that t(k) = 0.
-1, 0
Let t(y) = -y**3 + y**2 - 1. Let h(o) = 42*o**3 - 210*o**2 + 99*o - 18. Let u(w) = -h(w) + 6*t(w). Determine m so that u(m) = 0.
1/4, 4
Let o(k) be the first derivative of k**4/12 - 5*k**3/9 - k**2/6 + 5*k/3 - 37. Factor o(v).
(v - 5)*(v - 1)*(v + 1)/3
Let s = 5/11 - 19/66. Let d(a) be the second derivative of -a - 1/20*a**5 - 1/2*a**2 + 0 + 1/12*a**4 + s*a**3. Let d(t) = 0. Calculate t.
-1, 1
Let c(u) be the second derivative of 0 - 1/3*u**4 + 1/3*u**3 + 2*u + 1/10*u**5 + 0*u**2. What is w in c(w) = 0?
0, 1
Let u(b) be the third derivative of 0 + 0*b**4 + 7*b**2 + 1/20*b**6 - 1/30*b**5 + 0*b**3 + 0*b. What is q in u(q) = 0?
0, 1/3
Let n(o) be the third derivative of o**5/12 + o**4/6 + 2*o**2. Let q(a) = 4*a**2 + 4*a. Let s(f) = -6*n(f) + 7*q(f). Suppose s(j) = 0. What is j?
0, 2
Let w(h) be the second derivative of -h**4/12 + 2*h**3/3 + h**2/2 + 2*h. Let b be w(3). Find i such that 1/2 - 1/2*i**b + 0*i**2 + i**3 - i = 0.
-1, 1
Let q(x) be the first derivative of -x**4/6 + x**2 - 4*x/3 + 33. Find s such that q(s) = 0.
-2, 1
Let w(b) be the third derivative of -2*b**7/105 + b**6/30 + b**5/5 - 5*b**4/6 + 4*b**3/3 + 8*b**2. Factor w(s).
-4*(s - 1)**3*(s + 2)
Let i be 3/5 - -2*72/60. Determine q so that -2/5*q**5 + 0*q**2 + 2/5*q**4 + 0 + 0*q + 0*q**i = 0.
0, 1
Factor -5*o**3 - 5/3*o**4 + 0*o + 0 - 10/3*o**2.
-5*o**2*(o + 1)*(o + 2)/3
Let i(m) be the third derivative of -m**5/10 - m**4/12 + 2*m**3/3 - 3*m**2. Determine g, given that i(g) = 0.
-1, 2/3
Let j(a) be the first derivative of -3*a**5/40 + 3*a**4/8 - a**3/2 + a + 5. Let t(d) be the first derivative of j(d). Factor t(l).
-3*l*(l - 2)*(l - 1)/2
Let o be (142/8)/(5/20). Determine s, given that -23*s**3 - 14