 t(a) = 0.
-1, 1
Factor r**4 + 272*r**3 + 4*r**2 + 0*r**4 - 276*r**3.
r**2*(r - 2)**2
Let p(b) = b**2 - b. Let o be p(0). Factor 2*k**4 - 4*k - k**3 + 6*k**3 - 2 - k**3 + o*k.
2*(k - 1)*(k + 1)**3
Let d = 3931/30 - 131. Let z(k) be the third derivative of 0*k + 0 + 1/4*k**4 - d*k**5 + 3*k**2 - 1/20*k**6 + 1/3*k**3. Factor z(j).
-2*(j - 1)*(j + 1)*(3*j + 1)
Factor 3*z**4 - 35*z - 6*z**2 + 39*z - z**4.
2*z*(z - 1)**2*(z + 2)
Suppose -84 = 6*b - 34*b. Suppose 2/5*v**2 + 0*v**b - 2/5*v**4 + 0*v + 0 = 0. What is v?
-1, 0, 1
Factor -4/3*k**3 + 4/3*k + 2/3 - 2/3*k**4 + 0*k**2.
-2*(k - 1)*(k + 1)**3/3
Suppose 4*a - 14 = 3*o, 4*a = -0*o - 4*o + 28. Factor -2*g**o - 7*g**2 - g**2 - 6*g + 4.
-2*(g + 1)*(5*g - 2)
Let d(n) = -6*n**2 + 6*n - 3. Let k(g) = -7*g**2 + 6*g - 3. Let f(j) = 7*j**2 - 6*j + 3. Let i(v) = 3*f(v) + 4*k(v). Let l(q) = -4*d(q) + 3*i(q). Factor l(m).
3*(m - 1)**2
Let z be ((-8)/(-70))/(14/175). Factor -z*g + 2/7 + 8/7*g**2.
2*(g - 1)*(4*g - 1)/7
Let a(c) be the first derivative of c**5/20 + c**4/6 - c**3/6 - c**2 + c + 3. Let r(b) be the first derivative of a(b). Find v such that r(v) = 0.
-2, -1, 1
Let t(u) = 6 - 3*u - 7 - 4*u**2 - 3*u**2. Let k(c) = 3*c + 1 - 11*c - 3 - 20*c**2. Let i(v) = 5*k(v) - 14*t(v). Factor i(s).
-2*(s - 2)*(s + 1)
Suppose -3*h + 15 = -2*h + 3*r, -5*h + r - 5 = 0. Suppose -i + 7*i - 24 = h. Suppose -3*o**3 - 1/2*o**5 - 2*o**2 - 2*o**i + 0 - 1/2*o = 0. Calculate o.
-1, 0
Let u(h) be the second derivative of 3*h**5/100 + 3*h**4/20 - h**3/10 - 9*h**2/10 + 70*h. Find c such that u(c) = 0.
-3, -1, 1
Let o(d) be the first derivative of d**7/63 - 2*d**6/45 + d**4/9 - d**3/9 + 2*d + 2. Let h(a) be the first derivative of o(a). Determine k so that h(k) = 0.
-1, 0, 1
Let -5*p**2 + 3*p**2 - 13*p**3 - p**2 + 10*p**3 = 0. Calculate p.
-1, 0
Let m(l) be the first derivative of -2*l**6 + 3*l**5/5 + 3*l**4 - l**3 + 4. Suppose m(r) = 0. Calculate r.
-1, 0, 1/4, 1
Factor 4*j + 8*j + 5 - 52*j**2 + 17*j**2 + 30*j**4 - 25*j**3 + 13*j.
5*(j - 1)**2*(j + 1)*(6*j + 1)
Let -1/5*w**5 + 1/5*w + 0*w**3 + 2/5*w**4 + 0 - 2/5*w**2 = 0. What is w?
-1, 0, 1
What is h in -4 - 833*h**2 + 5400*h**3 - 1263*h**2 + 352*h + 3375*h**4 - 424*h**2 - 12 = 0?
-2, 2/15
Let t(h) be the second derivative of h**4/6 - 4*h**3/3 + 4*h**2 + 24*h. Determine g so that t(g) = 0.
2
Let x(o) = -4*o**3 + 2*o**2 + 2*o - 2. Let k be 3/(-12) + (-14)/8. Let m(t) = -5*t**3 + 2*t**2 + 2*t - 2. Let a(q) = k*m(q) + 3*x(q). Factor a(w).
-2*(w - 1)**2*(w + 1)
Let r be (-2)/(-2) + 14/(-18). Let k = 205/801 - 3/89. Find j such that r*j**2 - 4/9 + k*j = 0.
-2, 1
Let a(x) be the first derivative of x**7/105 - x**6/60 - x**5/30 + x**4/12 - x**2/2 - 3. Let q(s) be the second derivative of a(s). Factor q(u).
2*u*(u - 1)**2*(u + 1)
Let t be ((-73)/12 - -6)/((-1)/3). Factor -1/2*p - 1/4*p**2 - t.
-(p + 1)**2/4
Let z(m) = m**3 - m - 1. Let f(d) = 2 - 5 + 4*d**3 - 12*d + 2 + 6*d**2 - 3. Let q(b) = f(b) - 6*z(b). Suppose q(n) = 0. Calculate n.
1
Let g(i) be the first derivative of i**6/12 - i**4/4 + i**2/4 - 4. Factor g(c).
c*(c - 1)**2*(c + 1)**2/2
Suppose 0 = -i - 3*i + 40. Let p(g) = 2 - 3 + 13*g - 2 - 7*g**2. Let a(h) = -3*h**2 + 6*h - 2. Let k(q) = i*a(q) - 4*p(q). Factor k(o).
-2*(o - 2)**2
Suppose 8 = h + 1. Solve 4*j**2 + 10*j**4 + 6*j**3 + j**3 + h*j**3 = 0.
-1, -2/5, 0
Let r(l) be the second derivative of 3*l + 0*l**3 + 7/120*l**5 + l**2 + 0 - 1/24*l**4. Let v(i) be the first derivative of r(i). Factor v(u).
u*(7*u - 2)/2
Let h(b) be the second derivative of b**8/3360 - b**7/180 + b**6/24 - 3*b**5/20 - b**4/12 + 4*b. Let s(g) be the third derivative of h(g). Solve s(t) = 0.
1, 3
Let w(d) be the second derivative of -3*d**5/20 - 11*d**4/10 - 14*d**3/5 - 12*d**2/5 - 3*d. Factor w(f).
-3*(f + 2)**2*(5*f + 2)/5
Let c be (0 + 2/12)/((-69)/(-46)). Let i(v) be the third derivative of 1/18*v**4 + 0 + c*v**3 + 1/90*v**5 + 0*v - v**2. Determine j, given that i(j) = 0.
-1
Let t(w) = -w - 4. Let z be t(-4). Let h(s) be the second derivative of z - 1/12*s**4 - 2*s - 1/6*s**3 + 0*s**2. Solve h(v) = 0.
-1, 0
Suppose -4*g + 5*g = 2. What is p in p**3 - 5*p**3 + g*p**3 - 2*p**3 - 2*p**2 = 0?
-1/2, 0
Let 10/11*f**2 - 16/11 + 4/11*f + 2/11*f**3 = 0. Calculate f.
-4, -2, 1
Suppose 0 = -2*g + 8, 0 = 2*o + o - 3*g. What is b in -14*b**3 + 13*b**3 + b**o + 0*b**4 = 0?
0, 1
Let k(c) = 12*c**4 - 21*c**3 - 63*c**2 + 15*c. Let j(f) = 3*f**4 - 5*f**3 - 16*f**2 + 4*f. Let n(u) = 15*j(u) - 4*k(u). Determine v so that n(v) = 0.
-1, 0, 4
Let 13*z**2 + 53*z**3 + 6 - 39*z + 67*z**3 + 48*z**4 - z**2 + 15*z**2 = 0. Calculate z.
-2, -1, 1/4
Let q(j) be the third derivative of j**6/240 - j**5/120 - j**4/48 + j**3/12 - 4*j**2. Solve q(m) = 0 for m.
-1, 1
Suppose 2/3*o**3 + 0 - 4*o**2 - 14/3*o = 0. Calculate o.
-1, 0, 7
Let k = 10/17 - 16/85. Let 6/5*p**4 + k*p**2 + 6/5*p**3 + 0*p + 2/5*p**5 + 0 = 0. What is p?
-1, 0
Let v(m) = 6*m**2 - 8*m + 24. Let n(b) = -2*b**2 + 3*b - 8. Let i(r) = 16*n(r) + 5*v(r). Factor i(o).
-2*(o - 2)**2
Let h be ((-6)/(-10))/(3/30). Determine u so that -11*u**2 + h*u - 7*u**4 - 6*u**3 + 4 - 3*u**2 + 17*u**4 = 0.
-1, -2/5, 1
Let s(t) be the third derivative of 1/600*t**6 + 0*t - 1/120*t**4 + 1/1050*t**7 - t**2 - 1/100*t**5 + 1/15*t**3 + 0. Solve s(q) = 0 for q.
-2, -1, 1
Let f(o) be the second derivative of -o**6/360 + o**5/30 - o**4/6 + o**3/3 - o. Let v(g) be the second derivative of f(g). Factor v(q).
-(q - 2)**2
Let k(z) = -4*z**3 + 31*z - 24. Let y(n) = 4*n**3 - 32*n + 24. Let c(b) = 4*k(b) + 3*y(b). Factor c(d).
-4*(d - 2)*(d - 1)*(d + 3)
Let t(j) be the first derivative of j**4/6 + j**3/3 + 4*j - 1. Let y(z) be the first derivative of t(z). Factor y(i).
2*i*(i + 1)
Let w(b) be the first derivative of -1/6*b**6 + 3/4*b**4 + 0*b + 2 + 0*b**2 + 2/3*b**3 + 0*b**5. Factor w(p).
-p**2*(p - 2)*(p + 1)**2
Factor 10/7*u**2 + 16/7*u + 2/7*u**3 + 8/7.
2*(u + 1)*(u + 2)**2/7
Let t(w) = w**3 - w**2 + 3*w + 1. Let k(x) = -3*x**3 + 2*x**2 - 7*x - 2. Let f = 63 + -35. Suppose f - 8 = -4*s. Let c(h) = s*t(h) - 2*k(h). Factor c(n).
(n - 1)*(n + 1)**2
Let a(k) be the first derivative of 1/21*k**6 - 1 + 0*k**4 - 4/21*k**3 + 0*k + 4/35*k**5 - 1/7*k**2. Factor a(f).
2*f*(f - 1)*(f + 1)**3/7
Factor -4 + 0*s + 2*s + 16*s**2 - 14*s**2.
2*(s - 1)*(s + 2)
Let k(l) be the third derivative of 0*l**3 + 0 + 0*l**4 + 2*l**2 + 1/330*l**5 + 0*l. Find z such that k(z) = 0.
0
Let j(h) be the first derivative of 2*h**5/45 + h**4/9 + 2*h**3/27 + 1. Let j(u) = 0. Calculate u.
-1, 0
Let o = 50 + -195/4. Find x, given that -o*x**2 - 1/2*x + 0 = 0.
-2/5, 0
Let w(y) be the third derivative of -y**6/600 - 46*y**2. Factor w(a).
-a**3/5
Let h(d) be the first derivative of 0*d**2 + 0*d - 1/15*d**6 + 1/10*d**4 + 4/15*d**3 - 4/25*d**5 + 4. Solve h(p) = 0.
-2, -1, 0, 1
Let y(r) be the second derivative of -r**5/60 + r**4/18 - 6*r. Determine d, given that y(d) = 0.
0, 2
Let n = 60 - 56. Let q(f) be the first derivative of -1/5*f**5 + n - 1/3*f**3 + 0*f - 1/2*f**4 + 0*f**2. Find w, given that q(w) = 0.
-1, 0
Let k(m) be the second derivative of m**6/135 - 2*m**5/45 - m**4/9 + 4*m**3/27 + 5*m**2/9 + 25*m. Suppose k(w) = 0. What is w?
-1, 1, 5
Let a(b) be the second derivative of 0*b**2 - 3*b - 1/12*b**4 + 1/3*b**3 + 0 - 1/20*b**5. Suppose a(u) = 0. Calculate u.
-2, 0, 1
Suppose 2*x + 1 = -5*k, -k = 3*x + 2*k - 3. Suppose 1 = 2*c + y - 9, -3*c + 5*y + x = 0. Factor 2 - 7*j + 6*j**2 + j - c*j**3 + 2*j**3.
-2*(j - 1)**3
Let i(a) be the first derivative of -a**6/6 - a**5 - 5*a**4/2 - 10*a**3/3 - 5*a**2/2 - a + 6. Factor i(j).
-(j + 1)**5
Factor q - 5 + 2*q**2 + 13 - 9*q.
2*(q - 2)**2
Let g(f) be the third derivative of -f**5/390 + f**4/156 - 13*f**2. Let g(o) = 0. Calculate o.
0, 1
Let g be (16/(-12)*-3)/2. Let s(j) be the first derivative of 0*j + 0*j**2 + 4/9*j**3 - 2/5*j**5 + 1/6*j**4 - g. Let s(k) = 0. What is k?
-2/3, 0, 1
Suppose -5*c + 13 = 3. Let w be (18/(-60))/(c/(-4)). Solve w*p**2 + 1/5 - 3/5*p - 1/5*p**3 = 0 for p.
1
Let i = 17 + -33. Let c be (3 - 1)/(i/(-12)). Determine z, given that 3/2*z**2 + 0 + c*z = 0.
-1, 0
Let p = 6 - 3. Find w such that -w + 0*w - 2*w**2 + 2*w**3 - 3*w**p = 0.
-1, 0
Find p, given that 3*p**4 + 9*p**5 - 18*p**4 - 4*p**5 - 10*p + 10*p**2 + 5*p**3 + 5*p**2 = 0.
-1, 0, 1, 2
Find x such that 0 - 2/3*x**