(x) = c*u(x) + s*k(x). Factor b(l).
3*(l + 1)**2
Let r(u) be the third derivative of u**6/24 + u**5/2 - 5*u**4/24 - 5*u**3 + 3*u**2. Let r(b) = 0. Calculate b.
-6, -1, 1
Suppose 18 = 7*y + 2*y. Factor 1/5*a**4 + 0*a**y + 0 + 1/5*a**3 + 0*a.
a**3*(a + 1)/5
Let u(w) be the third derivative of -w**7/525 - w**6/75 - w**5/30 - w**4/30 - 4*w**2. Factor u(b).
-2*b*(b + 1)**2*(b + 2)/5
Let y(j) be the second derivative of j**7/14 + 15*j. What is o in y(o) = 0?
0
Let x = 345/4 - 86. Factor -1/4 + 1/2*w - x*w**2.
-(w - 1)**2/4
Let v = -37536392/195 - -192495. Let h = -1/65 + v. Find p such that h*p**3 - 1/3*p**5 - 1/3*p + 0*p**4 + 0*p**2 + 0 = 0.
-1, 0, 1
Let q(s) be the first derivative of -4/15*s**5 + 0*s**2 - 2/3*s**3 - 1/3*s**4 + 0*s - 1 - 7/180*s**6. Let h(b) be the third derivative of q(b). Factor h(x).
-2*(x + 2)*(7*x + 2)
Let d(y) = -y**3 + y - 1. Let b(w) = 6*w**3 - w**4 - 6*w + 6 + w**2 - 2*w**2 + 3*w**3 - 5*w**3. Let x(o) = b(o) + 6*d(o). Factor x(l).
-l**2*(l + 1)**2
Let y(o) be the third derivative of -o**7/210 + o**5/12 - 2*o**3/3 + o**2 - 2*o. What is q in y(q) = 0?
-2, -1, 1, 2
Let n(j) be the first derivative of j**7/2940 + j**6/1260 - j**5/210 + 4*j**3/3 + 1. Let i(h) be the third derivative of n(h). Factor i(v).
2*v*(v - 1)*(v + 2)/7
Determine t, given that -2/7*t**2 + 36/7*t - 162/7 = 0.
9
Factor 203*y**2 - y**5 + 3*y**5 + 8*y**4 + 2*y + 12*y**3 - 195*y**2.
2*y*(y + 1)**4
Suppose -4*l - 3*f - 4 + 25 = 0, 5*f - 1 = -l. Let b(m) be the second derivative of 1/9*m**3 - 1/90*m**l + 0*m**4 - 1/30*m**5 + 0 + m + 1/6*m**2. Factor b(x).
-(x - 1)*(x + 1)**3/3
Factor 4/9*o - 2/3*o**2 + 0 + 2/9*o**3.
2*o*(o - 2)*(o - 1)/9
Let r(q) = 6*q**4 + 29*q**3 + 47*q**2 + 7*q. Let w(x) = 3*x**4 + 14*x**3 + 23*x**2 + 4*x. Let n(o) = -4*r(o) + 7*w(o). Let n(u) = 0. Calculate u.
-3, 0
Let a be (2/10)/((-9)/(-30)). Factor 0 - 2/3*t**2 - a*t.
-2*t*(t + 1)/3
Let c(b) be the first derivative of -1 - 1/3*b**3 - 2*b - 3/2*b**2. Factor c(m).
-(m + 1)*(m + 2)
Let k(j) = -3*j**2 - 10*j - 4. Let p(q) = 3*q**2 + 11*q + 5. Let x(v) = -5*k(v) - 4*p(v). Factor x(g).
3*g*(g + 2)
Let w(r) be the second derivative of r**4/6 - 4*r**3 + 36*r**2 - 2*r. Let w(s) = 0. Calculate s.
6
Suppose -9*x**2 + 60*x - x**2 + x**2 + 4*x**2 = 0. Calculate x.
0, 12
Let w(z) = 0*z**3 - 4*z**3 + 7*z**3 - z - 2*z**2 - 6*z**3. Let c be w(-1). Factor v**c + 7/5*v**3 - 2/5*v + 0.
v*(v + 1)*(7*v - 2)/5
Factor -12/11*a**3 + 8/11*a**2 - 2/11*a**5 - 2/11*a + 8/11*a**4 + 0.
-2*a*(a - 1)**4/11
Let k = -240 + 449. Let f be (-1)/5 + k/220. Let 0*x - f*x**3 + 1/4*x**2 + 0 = 0. What is x?
0, 1/3
Let h(j) = 2*j. Let y be h(2). Suppose 5*v = -0*z + 2*z + 14, -y*z + 2*v = -4. Find d such that z*d - 5*d + d**3 + d = 0.
-1, 0, 1
Let j be (-12)/(-16) - (-5)/(360/42). Factor 8*g**2 - 16*g - j*g**3 + 32/3.
-4*(g - 2)**3/3
Let m(b) be the first derivative of b**4 - 4*b**3 + 16*b + 36. Factor m(u).
4*(u - 2)**2*(u + 1)
Let w(b) be the third derivative of -1/180*b**6 + 0 + 0*b + 1/180*b**5 + 0*b**4 + 0*b**3 - 5*b**2 + 1/630*b**7. Suppose w(f) = 0. What is f?
0, 1
Factor 4/11*p**4 + 0 - 2/11*p + 8/11*p**2 - 10/11*p**3.
2*p*(p - 1)**2*(2*p - 1)/11
Let i(o) = -31*o - 181. Let m be i(-6). Factor 0*s + 0*s**3 + 0*s**2 + 0 - 1/6*s**m + 1/6*s**4.
-s**4*(s - 1)/6
Suppose -24 = -65*i + 68*i. Let j(m) = -m**3 - 8*m**2 + 3*m + 24. Let v be j(i). Solve 0 + v*u + 3/2*u**2 - 3/2*u**3 = 0.
0, 1
Let o(k) be the third derivative of -3/80*k**5 + 0*k + 0 + 5/24*k**4 - 1/6*k**3 + 4*k**2. Suppose o(m) = 0. What is m?
2/9, 2
Factor -13*b**4 - 9*b - 6 + b**3 + 16*b**4 + 8*b**3 + 3*b**2.
3*(b - 1)*(b + 1)**2*(b + 2)
Let b(p) = -5*p**4 + 2*p**3 + 4*p + 4. Let v(s) = 5*s**4 - s**3 - 3*s - 3. Let f(g) = -3*b(g) - 4*v(g). Suppose f(x) = 0. Calculate x.
-2/5, 0
Let a = 21 - 21. Let z(r) be the second derivative of -1/80*r**5 + 0*r**2 - 1/30*r**6 + a*r**3 + 2*r + 0 + 0*r**4. Find f, given that z(f) = 0.
-1/4, 0
Let g(r) be the third derivative of -r**6/480 - r**5/30 - 13*r**4/96 - r**3/4 + 7*r**2. Solve g(x) = 0.
-6, -1
Suppose 1 = -j - 2*l - l, 5*l = -10. Factor 0 + 32/7*i**j + 0*i + 2/7*i**2 + 16/7*i**4 - 2*i**3.
2*i**2*(i + 1)*(4*i - 1)**2/7
Let y(t) = -3*t**2 - 6*t + 5. Let u(z) = -15*z**2 - 30*z + 24. Let p(j) = -5*u(j) + 24*y(j). Suppose p(g) = 0. Calculate g.
-2, 0
Let r = 7 - 2. Factor -2*k**3 + k + 19*k**2 - 1 - 23*k**2 + 2*k**4 - 2*k**5 + 3*k**r + 3.
(k - 1)**2*(k + 1)**2*(k + 2)
Let y(b) be the first derivative of 4*b**3 + 14*b**2 + 8*b + 18. Factor y(r).
4*(r + 2)*(3*r + 1)
Suppose 0 = -k, 40 = -0*a - 4*a + 4*k. Let t = -7 - a. Find f, given that -3/2*f**5 + 1/2*f**4 + 0 + f**t + 0*f + 0*f**2 = 0.
-2/3, 0, 1
Let s(j) be the first derivative of j**9/3024 + j**8/1680 + 2*j**3/3 - 1. Let n(k) be the third derivative of s(k). Factor n(t).
t**4*(t + 1)
Let s = -28804 + 115901/4. Let q = s - 170. Determine w so that 7/4*w**2 + 0 + 1/4*w**5 + 1/2*w + 9/4*w**3 + q*w**4 = 0.
-2, -1, 0
Let b(w) = -4*w**5 + 2*w**3 - 3*w**2 + 2*w - 3. Let x(k) = 9*k**5 - 4*k**3 + 7*k**2 - 5*k + 7. Let c(d) = 7*b(d) + 3*x(d). Determine m so that c(m) = 0.
-1, 0, 1
Let w(m) = m**3 - m**2 - m - 1. Let s(y) = 8*y**3 - 36*y**2 - 106*y - 82. Let x(r) = -2*s(r) + 20*w(r). Factor x(i).
4*(i + 1)*(i + 6)**2
Let 0*v**3 - 1/8*v**5 - 1/4*v**2 + 1/8*v + 1/4*v**4 + 0 = 0. What is v?
-1, 0, 1
Let z be (12 + 0)*(-8)/(-8). Let r be ((z/(-15))/4)/(-1). Determine o so that -1/5*o**2 + 0 - 1/5*o**3 + 1/5*o**4 + r*o = 0.
-1, 0, 1
Let w be 0 + 1 + (-14)/(-7). Factor 2*g + 3*g**3 + 7*g**2 - 2*g**3 - w*g**2 + g**3.
2*g*(g + 1)**2
Factor 5/4*l**3 + 5/2 + 5*l**2 + 25/4*l.
5*(l + 1)**2*(l + 2)/4
Let p(g) = -3*g**2 - 4*g - 6. Let l be 2*(-4)/(-6)*-6. Let c = 5 + l. Let f(z) = -4*z**2 - 4*z - 7. Let w(i) = c*p(i) + 2*f(i). Solve w(h) = 0 for h.
-2
Suppose 5*f + 0*f - 3*l = -5, f = 4*l - 18. Suppose -27 = -f*z - 3. Let -17*j**2 - 2 - 3*j**2 + 4*j**2 - z*j**3 + 12*j + 18*j**4 = 0. What is j?
-1, 1/3, 1
Let o(n) be the third derivative of n**8/84 + 2*n**7/105 - n**6/10 - n**5/3 - n**4/3 + 6*n**2. Factor o(l).
4*l*(l - 2)*(l + 1)**3
Let d(m) = m**4 - m**2 - m. Let w(x) = -11*x**5 + 54*x**4 - 109*x**3 + 98*x**2 - 33*x + 4. Let g(f) = -3*d(f) - w(f). Factor g(n).
(n - 2)*(n - 1)**3*(11*n - 2)
Factor 3/2 + 1/2*p**2 - 2*p.
(p - 3)*(p - 1)/2
Let z(k) be the first derivative of -2/5*k - 1 + 1/5*k**2 + 2/15*k**3 - 1/10*k**4. Factor z(j).
-2*(j - 1)**2*(j + 1)/5
Suppose -3*f + 1 = -2*y, -4*f - 1 = -4*y + 3. Let n(l) be the second derivative of 0 + 1/20*l**5 + 0*l**2 + 1/6*l**3 + 1/6*l**y + 3*l. Factor n(q).
q*(q + 1)**2
Suppose 2*m + 19 = -5*l, -4 = -4*m + 4*l + 28. Factor 0*s**3 - 6 - m*s + 3*s**3 - 3*s**2 + 9*s**2.
3*(s - 1)*(s + 1)*(s + 2)
Suppose 0 = a + d - 3*d, -d - 3 = -2*a. Factor 0 + i**3 - 2*i - 63*i**2 + 0 + 64*i**a.
i*(i - 1)*(i + 2)
Let r(y) = 7*y**3 - 6*y + 1. Let b(h) = -5*h - 1 + 2*h + 6*h - 4*h**3. Let a(v) = -10*b(v) - 6*r(v). Let a(u) = 0. What is u?
-1, 2
Suppose -3*r + 4*m = 16, -r = -3*r + 5*m - 20. Determine y, given that 0 + r*y - 2/9*y**2 = 0.
0
Suppose -3*r**4 - 3*r + 2*r + r - 6*r**3 = 0. Calculate r.
-2, 0
Let y(q) = -q**2 + 3*q + 2. Suppose -4*i + 11 = -1. Let t be y(i). Factor -3*v + t*v + 2*v**3 - v**3.
v*(v - 1)*(v + 1)
Let q(c) be the third derivative of 0*c - 1/24*c**3 + 1/120*c**5 - 1/840*c**7 - 1/240*c**6 + 0 + c**2 + 1/96*c**4 + 1/1344*c**8. Determine m so that q(m) = 0.
-1, 1
Let s(w) = -1 + 4*w - 3*w + 2*w**2 - 6*w**2 - 6*w. Let d(z) = 5*z**2 + 6*z + 1. Let c(o) = -3*d(o) - 4*s(o). Find i such that c(i) = 0.
-1
Let v(p) be the third derivative of -p**7/42 + p**6/8 - p**5/4 + 5*p**4/24 + 10*p**2. Factor v(n).
-5*n*(n - 1)**3
Let x(t) be the second derivative of -t**4/28 + t**3/7 + 9*t**2/14 + t. Solve x(p) = 0 for p.
-1, 3
Let o(j) = 4*j - 26. Let y be o(7). Let w(n) be the first derivative of -1/2*n**3 + 0*n + 1 + 1/4*n**y + 3/8*n**4 - 1/10*n**5. Factor w(q).
-q*(q - 1)**3/2
Let f = 12 + -12. Let o(a) be the first derivative of f*a + 0*a**2 + 1 - 1/3*a**3. Factor o(x).
-x**2
Let i(v) = v**3 + 0*v**3 - 7*v**3 - 3. Let z(t) = -5*t**3 + t - 2. Let y(b) = -2*i(b) + 3*z(b). Let y(d) = 0. Calculate d.
-1, 0, 1
Let w(n) = -9*n**3 + 15*n**2 + 11*n + 11. Let s(g) = -5*g**3 + 8*g**2 + 6*g + 6. Let f(y) = -11*s(y) + 6*w(y). Let f(c) = 0. Calculate c.
-2, 0
Let n be (1 - (0 +