 0 + 49/45*j**7 + 19/9*j**4 + 4*j**2. Factor s(c).
2*(c + 1)*(7*c - 2)**3/3
Factor -40/7*o - 6*o**2 - 8/7.
-2*(3*o + 2)*(7*o + 2)/7
Solve -14/3*a**3 - 22/3*a - 4/3 - 32/3*a**2 = 0.
-1, -2/7
Let l(s) = -9*s**5 + 13*s**4 - 5*s**3 - 7*s**2 - 7*s + 8. Let q(h) = 4*h**5 - 6*h**4 + 2*h**3 + 4*h**2 + 3*h - 4. Let n(k) = -3*l(k) - 7*q(k). Factor n(t).
-(t - 2)**2*(t - 1)*(t + 1)**2
Let j(m) be the second derivative of m**5/46 - 3*m**4/23 + 4*m**3/23 + 8*m**2/23 + 7*m. Factor j(v).
2*(v - 2)**2*(5*v + 2)/23
Let w be (-28)/154 + (-2)/(-11). Let u(t) be the first derivative of t**3 - 3/4*t**4 + w*t**2 - 1 + 0*t. Solve u(v) = 0 for v.
0, 1
Suppose 15 + 5 = 4*a. Let o = a + -5. Find w such that 6/7*w - 2/7*w**3 + o*w**2 + 4/7 = 0.
-1, 2
Factor 0*q**2 + 0 - 3/4*q**3 + 3/4*q.
-3*q*(q - 1)*(q + 1)/4
Let a(m) be the third derivative of -m**7/42 + m**6/24 + m**5/3 - 5*m**4/6 + 7*m**2. Factor a(f).
-5*f*(f - 2)*(f - 1)*(f + 2)
Let c(u) = -u**2 - 4*u + 3. Let h be c(-4). Suppose -5*b + 9 = a, 0 = 3*a - 0*a - 5*b - 7. Factor -h*g - 2*g**a + 4*g**3 + 3 - g + 1 - 2.
-2*(g - 1)**3*(g + 1)
Let a(b) = 39*b**3 - 39*b**2 - 24. Let c(o) = 8*o**3 - 8*o**2 - 5. Let x(k) = 5*a(k) - 24*c(k). Factor x(r).
3*r**2*(r - 1)
Let d(f) = 2*f**2 - 3*f**2 - 7 - 8*f + 18*f. Let n be d(9). Let j**3 + j**2 - 3*j + 4*j - 2*j**2 - j**n = 0. What is j?
0, 1
Let t(h) = -h - 9. Let o be t(-11). Let c(v) be the first derivative of -o + v**2 - v - 1/3*v**3. Factor c(u).
-(u - 1)**2
Let w(x) = x**4 + x - 1. Let k(d) = -34*d**4 - 162*d**3 - 252*d**2 - 159*d - 25. Let t(a) = 5*k(a) + 35*w(a). Factor t(s).
-5*(s + 4)*(3*s + 2)**3
Suppose a = -2 + 11. Suppose -3*k - g + 3*g = -a, -15 = -5*k - 4*g. Factor 3*r**k + 3*r**2 + 0*r**2 + r**2 - r**2.
3*r**2*(r + 1)
Let p(v) be the second derivative of -1/12*v**4 + 0*v**2 + 1/80*v**5 + 0 - 4*v + 1/6*v**3. Solve p(r) = 0 for r.
0, 2
Let g be 8*(-1)/(8/(-2)). Factor -g*x**2 + 8*x**4 - 2*x**3 + x**2 + 8*x**3 + 2*x**2.
x**2*(2*x + 1)*(4*x + 1)
Let p**2 - 5*p**2 + 3*p - p - 6*p = 0. What is p?
-1, 0
Let j be 8 + ((-34)/4 - -2). Factor 0 + 0*r + 3/2*r**4 + 0*r**3 - j*r**2.
3*r**2*(r - 1)*(r + 1)/2
Let w(h) = 12*h**3 - 48*h**2 + 71*h - 24. Let r(q) = -4*q**3 + 16*q**2 - 24*q + 8. Let t(j) = 11*r(j) + 4*w(j). Factor t(k).
4*(k - 2)*(k - 1)**2
Let q = 12/23 + -14/115. Let f(c) be the first derivative of 0*c - 2/5*c**3 + 1/5*c**4 + 1 - q*c**2. Factor f(x).
2*x*(x - 2)*(2*x + 1)/5
Find j, given that -14*j**2 + 32*j**4 - 4*j - 2*j + 4*j + 29*j**3 - 45*j**3 = 0.
-1/4, 0, 1
Let o(n) be the second derivative of n**6/540 - 2*n**5/135 + n**4/27 - n**2 - 3*n. Let h(p) be the first derivative of o(p). Let h(r) = 0. What is r?
0, 2
Let y(r) be the third derivative of -r**7/630 - r**6/360 - r**2 - 16. Factor y(b).
-b**3*(b + 1)/3
Suppose -4*i + 6*i = 6, -5*r + 27 = 4*i. Suppose -c + r = 3*k, 9 = 3*c - 2*k - 2*k. Factor -7*f**2 + 2*f**2 + c*f**2.
-2*f**2
Let h(l) be the first derivative of l**4/6 + 2*l**3 + 9*l**2 - 2*l - 4. Let m(t) be the first derivative of h(t). Solve m(x) = 0.
-3
Let b(v) = v**2 + v - 4. Let o be b(2). Suppose o*r + 5*n - 1 = 9, 3*r + n = 2. Solve 2/7*z**3 + r - 4/7*z**2 + 2/7*z = 0.
0, 1
Suppose -3*j - 6 = -5*q, -2*q + 4 + 5 = j. Let c(i) = i**3 - 3*i**2 + i - 3. Let x be c(q). Factor x + 0*d - 2/7*d**2 - 2/7*d**4 - 4/7*d**3.
-2*d**2*(d + 1)**2/7
Let z(o) be the first derivative of -3/2*o**2 - 1/4*o**4 - 6 - o - o**3. Factor z(a).
-(a + 1)**3
Factor 0 - 1/3*z**2 + 0*z + 1/3*z**4 + 1/3*z**5 - 1/3*z**3.
z**2*(z - 1)*(z + 1)**2/3
Let k be 14/(-35) + 4/10. Let u(o) be the third derivative of 0*o - 1/336*o**8 - 1/24*o**4 + 0*o**7 + 0*o**5 + 1/60*o**6 + 0*o**3 + k + 2*o**2. Factor u(d).
-d*(d - 1)**2*(d + 1)**2
Find r, given that 0 - 4/7*r + 4/7*r**2 = 0.
0, 1
Let q be (-2)/((4 - 80/12)*3). Factor -q*c**2 + 0*c + 0.
-c**2/4
Let g = 1 - -1. Factor -j**3 + 2*j**g - j + 2*j**3 - 1 - 3*j**2 + 2*j**2.
(j - 1)*(j + 1)**2
Let y(t) = t**2 + 1. Let g(z) = z**2 - 6*z + 4. Let i(d) = -g(d) + 4*y(d). Determine w so that i(w) = 0.
-2, 0
Let v(n) = n**4 - n**3 - n**2. Let m = -1 - -4. Suppose m*f - 8*f = -30. Let b(u) = 5*u**4 - 8*u**3 - 6*u**2 + 2*u + 1. Let r(z) = f*v(z) - b(z). Factor r(i).
(i - 1)*(i + 1)**3
Let j(w) = -2*w**3 - 4*w**2 - 2*w + 2. Let q be j(-2). Suppose 3*t + 5*u - q = 0, 5*t = 2*u + 2 + 8. Factor 6*x**t - 1 + 4*x**2 + 0 - 9*x**2.
(x - 1)*(x + 1)
Suppose 5*b = -2*b. Factor -2/9*v**4 + 2/9*v**3 + b*v + 0*v**2 + 0.
-2*v**3*(v - 1)/9
Let l(w) = w**2 + 2. Let f be l(2). Factor 2 - f*t**2 - t**4 + 4*t**4 + 9*t**3 - 8 - 9*t + 9*t**2.
3*(t - 1)*(t + 1)**2*(t + 2)
Determine c, given that -11*c**2 - 6*c + 8*c**2 + 6*c**3 + 8*c**4 + 13*c**4 - 18*c**2 = 0.
-1, -2/7, 0, 1
Factor 6*d**3 + 3/2*d**4 - 9/2 - 6*d + 3*d**2.
3*(d - 1)*(d + 1)**2*(d + 3)/2
Let q(g) be the third derivative of g**7/630 + g**6/180 + g**5/180 - 14*g**2. Solve q(o) = 0.
-1, 0
Let f(i) = 10*i**3 + 15*i**2 + 5*i - 5. Let s(y) = 11*y**3 + 14*y**2 + 4*y - 4. Let w(b) = 4*f(b) - 5*s(b). Determine t, given that w(t) = 0.
-2/3, 0
Let d(v) be the first derivative of v**5/50 + v**4/6 + 8*v**3/15 + 4*v**2/5 - 9*v - 7. Let l(z) be the first derivative of d(z). Factor l(b).
2*(b + 1)*(b + 2)**2/5
Let z(h) = -2*h**3 + h**3 + 1 - 2*h**2 + 3*h**2. Let m(l) = 3*l**4 + 12*l**3 - 18*l**2 + 3*l - 15. Let s(y) = -m(y) - 15*z(y). Suppose s(d) = 0. What is d?
-1, 0, 1
Let z(y) be the first derivative of -4*y**5/15 + 2*y**4/3 - 4*y**2/3 + 4*y/3 + 4. Factor z(w).
-4*(w - 1)**3*(w + 1)/3
Let k be ((-105)/27 + 4)/((-3)/(-18)). Factor 1/3*c**4 - k*c**3 + 0*c**2 - 1/3 + 2/3*c.
(c - 1)**3*(c + 1)/3
Factor 2/3*v**4 - 8/3*v + 0 + 0*v**2 + 2*v**3.
2*v*(v - 1)*(v + 2)**2/3
Let t(d) be the third derivative of -d**7/210 - d**6/30 - d**5/10 - d**4/6 - d**3/6 - 13*d**2. Factor t(n).
-(n + 1)**4
Let y(d) be the second derivative of 2*d**4/3 - d**3 - d**2 + 2*d. Solve y(o) = 0 for o.
-1/4, 1
Let m be (2 + 1)*(-1)/(-9). Suppose -11*r - 10 = -16*r. Factor -m*g + 0 + 1/3*g**r.
g*(g - 1)/3
Let f be 50/15*12/10. Solve -4*y**2 + y**f + 5*y**3 - 3*y**3 + 5*y**2 = 0 for y.
-1, 0
Determine t so that 2/7*t + 0 - 2/7*t**2 = 0.
0, 1
Let w(b) be the second derivative of b**6/210 - b**5/70 + b**4/84 + b**2 + 6*b. Let j(n) be the first derivative of w(n). Factor j(i).
2*i*(i - 1)*(2*i - 1)/7
Let d(b) be the second derivative of -16/3*b**3 + 0 - 8*b - 32*b**2 - 1/3*b**4. Factor d(s).
-4*(s + 4)**2
Let z(v) be the first derivative of v**5/10 - v**3 - 2*v**2 - 3*v/2 + 8. Factor z(d).
(d - 3)*(d + 1)**3/2
Let d be (2/(-9 - -5))/(3/(-2)). Factor 2/3*k + 0 - d*k**2.
-k*(k - 2)/3
Let m = -210/13 - -1503/52. Let z = -451/36 + m. Factor 4/9 - 2/9*j**2 + z*j.
-2*(j - 2)*(j + 1)/9
Let w = -47 + 189/4. Let m(p) be the first derivative of 0*p**5 - 1/12*p**6 - w*p**2 - 1 + 0*p**3 + 0*p + 1/4*p**4. Determine q, given that m(q) = 0.
-1, 0, 1
Let d(i) be the third derivative of -i**5/90 - i**4/6 + 7*i**3/9 - 10*i**2. Factor d(a).
-2*(a - 1)*(a + 7)/3
Let c be (-5 - (-2 + -3))*1. Solve c - y**2 - 1/2*y**3 + 0*y = 0.
-2, 0
Suppose 3*d + 3*a = 4*a + 2, d + 14 = 4*a. Let t(y) = 9 + 5*y**2 + 5*y**2 + 2 - 9*y. Let x(r) = r**2 - r + 1. Let w(k) = d*t(k) - 22*x(k). Factor w(s).
-2*s*(s - 2)
Let -31*q**3 - 54*q - 12*q**4 + 5*q - 51*q - 260*q**2 + 147*q**3 = 0. What is q?
-1/3, 0, 5
Suppose 4*f + 0*f - 5*u - 23 = 0, u = -2*f + 1. Factor -2 + 1 - 3 + 2*p**2 + f.
2*(p - 1)*(p + 1)
Let j be 7/(-9) + -1 - -2. Let x = 99 + -887/9. Factor -x*k**3 + j*k**2 + 2/9*k**4 + 0 + 0*k.
2*k**2*(k - 1)**2/9
Let k = -21 - -27. Let h(j) be the second derivative of 16/45*j**k + 0*j**2 - 7/18*j**4 - 1/9*j**3 + 0 - 4/15*j**5 - j. Factor h(o).
2*o*(o - 1)*(4*o + 1)**2/3
Let b be ((-6)/(-10))/(1/5). Find n such that -3*n**5 - 18*n**3 - 2*n**2 - 12*n**4 - b*n + 0*n**5 - 5*n**2 - 5*n**2 = 0.
-1, 0
Let r(n) be the third derivative of 5*n**8/3528 + 4*n**7/735 - 4*n**6/315 - n**5/35 + 11*n**4/252 + 2*n**3/21 + 28*n**2. Solve r(q) = 0 for q.
-3, -1, -2/5, 1
Let o = -5 + 8. Suppose 0 = -m - 2 + 4. Factor 0*c + 1/4*c**m - 1/4*c**4 + 0*c**o + 0.
-c**2*(c - 1)*(c + 1)/4
Let w(b) be the first derivative of -b**4/12 - b**3 + 5*b**2/3 - 48. Factor w(p).
-p*(p - 1)*(p + 10)/3
Let h(a) be the first derivative of a**7/105 - a**6/60 - a**5/30 + a**4/12 + 5*a**2 - 9. Let x(v) be the second derivative of h(v). Fac