or 3*j**2 + 2*j**2 + 5*j + 3*j - j + 3 + j**3.
(j + 1)**2*(j + 3)
Let m be (14/(-20) - 0) + 1. Let v(d) be the first derivative of 4/25*d**5 + 0*d - 1/10*d**2 - 1/30*d**6 + 4/15*d**3 - m*d**4 + 2. Factor v(p).
-p*(p - 1)**4/5
Let d = -125 - -125. Let w(u) be the third derivative of 0*u - 1/105*u**7 + 0*u**6 + d*u**5 + 0*u**3 + 1/168*u**8 + 0 - 4*u**2 + 0*u**4. Factor w(i).
2*i**4*(i - 1)
Let h(g) be the third derivative of -g**8/504 + g**6/180 - 7*g**2. Factor h(p).
-2*p**3*(p - 1)*(p + 1)/3
Let d(b) = -28*b + 478. Let i be d(17). Factor 3/2*z - 3/2*z**3 - 3/2*z**4 + 0 + 3/2*z**i.
-3*z*(z - 1)*(z + 1)**2/2
Let m(q) be the third derivative of q**7/280 - q**6/160 - 3*q**2. Factor m(l).
3*l**3*(l - 1)/4
Let y(b) = 7*b + 1. Let z be y(-1). Let a be (-1)/(-2) - z/4. Suppose -5 + 2 + 1 - 3*c - c**a = 0. What is c?
-2, -1
Let r be (-115)/(-20) - (-2)/8. Determine q, given that 21*q**3 + 6 + r*q**2 - 8 + 2 = 0.
-2/7, 0
Let p(f) be the first derivative of 7*f**6/165 - 9*f**5/110 + f**4/33 + 3*f + 3. Let x(s) be the first derivative of p(s). Factor x(n).
2*n**2*(n - 1)*(7*n - 2)/11
Let v(s) be the third derivative of -s**8/224 + s**6/80 - 18*s**2. Factor v(i).
-3*i**3*(i - 1)*(i + 1)/2
Let w(j) be the second derivative of 0*j**2 - 4*j + 0 + 1/16*j**4 + 1/8*j**3. Factor w(u).
3*u*(u + 1)/4
Let n = 29 - 201/7. Let -2/7*c + n*c**2 + 0 = 0. What is c?
0, 1
Let p = -329 - -331. Suppose -2/9*j + 4/9*j**p - 2/9*j**5 + 4/9*j**3 - 2/9 - 2/9*j**4 = 0. Calculate j.
-1, 1
Let y(b) = -36*b**2 + 32. Let i(a) = a**3 + 35*a**2 - a - 32. Let t(c) = -4*i(c) - 3*y(c). Suppose t(x) = 0. What is x?
-8, -1, 1
Let x(i) = -i**2 + 8*i - 3. Let z be x(6). Let y = 13 - z. Factor 0 - 6*n**4 - 3*n**3 - 2 + n**y + 3*n + 7*n**2.
-(n - 1)*(n + 1)**2*(5*n - 2)
Let w = 1/21 - -2/7. Let t(o) be the third derivative of -2*o**2 + 0*o - w*o**3 + 0 + 3/20*o**5 + 7/24*o**4. Solve t(b) = 0.
-1, 2/9
Let m = 136 - 679/5. Factor -2/5*i**4 + 1/5*i + 0*i**3 + 0 + 2/5*i**2 - m*i**5.
-i*(i - 1)*(i + 1)**3/5
Let o = -11 - -7. Let q be o/(-8)*(-2 - -16). Factor -2*f**4 - 4*f**3 - q*f**3 - 6*f**2 - f**4 + 2*f**3.
-3*f**2*(f + 1)*(f + 2)
Find q, given that 4/9*q - 14/9*q**2 + 0 = 0.
0, 2/7
Determine w, given that -4*w**4 + 5*w**2 - w**2 + 10*w + 0*w**3 - w**3 - 9*w = 0.
-1, -1/4, 0, 1
Let -7/10*h**4 + 11/10*h**2 + 0*h + 3/10*h**5 - 2/5 - 3/10*h**3 = 0. What is h?
-1, -2/3, 1, 2
Suppose -g - 44 = -46. Suppose 2/13*w + 0 - 2/13*w**g = 0. Calculate w.
0, 1
Let v be 2*(-1)/(6/21). Let p be (-88)/55*5/v. Factor 2/7*q**2 + p*q + 8/7.
2*(q + 2)**2/7
Find f such that -5 - 4*f - 4*f**2 - 2 + 3 + 3*f**2 = 0.
-2
Let u be (-1)/2*0*1. Let j = u + 2. Factor -3*o - 2*o + 2*o**3 + j*o + o.
2*o*(o - 1)*(o + 1)
Let p(o) be the third derivative of -5*o**6/24 + 49*o**5/6 - 575*o**4/6 - 500*o**3/3 + 5*o**2 - 7*o. Let p(h) = 0. What is h?
-2/5, 10
Let s = 451 + -449. Suppose 0*m + 2/7 - 2/7*m**s = 0. What is m?
-1, 1
Let o = -12 + 13. Suppose -3 = -2*x + o. Determine y so that -4/3*y + 0 + 4/3*y**3 + 2*y**4 - 2*y**x = 0.
-1, -2/3, 0, 1
Let s = 7 - 6. Let j(l) = 8*l**2 + 19*l - 9. Let i(p) = p - 1. Let n(v) = s*j(v) - 5*i(v). Find k, given that n(k) = 0.
-2, 1/4
Let u(d) be the third derivative of -d**6/200 + d**5/25 + d**4/40 - 2*d**3/5 - 6*d**2. Factor u(k).
-3*(k - 4)*(k - 1)*(k + 1)/5
What is a in 4*a**3 - 3*a**3 + 15*a**2 - 2*a**3 - 63*a + 49 = 0?
1, 7
Factor 11*l - 2*l**2 - 5*l - 5*l + l**3.
l*(l - 1)**2
Let f be (12/6)/(1*(-24)/(-3)). Factor 9/4*u**3 + 0 - 3/2*u**2 + f*u.
u*(3*u - 1)**2/4
Find o such that 0*o - 2/7*o**3 + 2/7*o**4 + 0 + 0*o**2 = 0.
0, 1
Suppose 0 = t + 3, 2*s + t + 13 = 7*s. Factor 0*n + 0 - 7/3*n**4 - 5/3*n**3 + 2/3*n**s.
-n**2*(n + 1)*(7*n - 2)/3
Let w(g) be the second derivative of -g**7/21 - 2*g**6/15 + g**5/5 + 2*g**4/3 - g**3/3 - 2*g**2 - 3*g. Find o such that w(o) = 0.
-2, -1, 1
Let v = -4847/48 - -101. Let h(y) be the third derivative of -1/60*y**5 - v*y**4 + 0*y**6 + 0*y + 3*y**2 + 1/672*y**8 + 0 + 0*y**3 + 1/210*y**7. Factor h(c).
c*(c - 1)*(c + 1)**3/2
Factor 0 + 2/11*j**3 + 0*j - 2/11*j**2.
2*j**2*(j - 1)/11
Let k be 6/3 + (-1 - -6). Factor i**4 + 7 - k + i**3.
i**3*(i + 1)
Let a(b) = -b + 1. Suppose u = 5*x - 4, -5*x = -2*x + u - 4. Let p be a(x). Solve p + 0*l**3 + 0*l**3 + 3*l**2 + 3*l + 1 + l**3 = 0 for l.
-1
Let z(w) be the second derivative of -w**4/4 + w**3 - 3*w**2/2 + 3*w. Find n such that z(n) = 0.
1
Let x(a) be the second derivative of a**7/840 + a**6/360 - a**3/2 + 3*a. Let w(q) be the second derivative of x(q). Let w(m) = 0. Calculate m.
-1, 0
Let -6 - 4*v - 2/3*v**2 = 0. Calculate v.
-3
Let w(x) be the third derivative of -x**6/40 - x**5/4 - 7*x**4/8 - 3*x**3/2 - 4*x**2. Find l such that w(l) = 0.
-3, -1
Let g be 0 + 12/8*2. Let a(m) be the second derivative of 1/21*m**g + 0 + 1/42*m**4 + 0*m**2 - 2*m. Find y such that a(y) = 0.
-1, 0
Let m(s) be the second derivative of 3*s + 1/2*s**2 + 0 + 1/12*s**4 + 1/3*s**3. Suppose m(c) = 0. Calculate c.
-1
Let s(q) be the second derivative of q**4/15 + 2*q**3/15 - 4*q**2/5 + 12*q. Factor s(f).
4*(f - 1)*(f + 2)/5
Let b(d) = 11*d**2 + 11*d + 6. Let t(v) = 23*v**2 + 23*v + 13. Let k(x) = -13*b(x) + 6*t(x). Factor k(g).
-5*g*(g + 1)
Factor -1/3*p**2 + 1/3*p + 0.
-p*(p - 1)/3
Let u(s) = 11*s**4 + 10*s**3 + 35*s**2 + 12*s - 8. Let f(k) = 4*k**4 + 3*k**3 + 12*k**2 + 4*k - 3. Let n(m) = 8*f(m) - 3*u(m). Suppose n(t) = 0. Calculate t.
-4, -1, 0
Let a(h) = -65*h + 390. Let b be a(6). Factor 0*v + 1/2*v**2 - 1/2*v**3 + b.
-v**2*(v - 1)/2
Let i(p) be the second derivative of -p**7/147 - 2*p**6/105 + p**5/35 + 2*p**4/21 - p**3/21 - 2*p**2/7 - 6*p. Suppose i(y) = 0. What is y?
-2, -1, 1
Let g(i) = 5*i**2 - 2*i + 1. Let h be g(1). Suppose 5*w = h*w + 1. Let b(p) = p**4 - 2*p**3 - 4*p**2. Let r(q) = -q**2. Let n(m) = w*b(m) - 5*r(m). Factor n(u).
u**2*(u - 1)**2
Let r(p) = p**2 - 15*p + 38. Let k be r(12). Solve 0*l - 2/7*l**3 + 1/7*l**4 + 0 + 1/7*l**k = 0.
0, 1
Determine n, given that 3*n**3 + 3*n**4 - n**3 + 2*n**3 - n**3 = 0.
-1, 0
Factor 0 + 0*z - 1/7*z**3 - 2/7*z**2.
-z**2*(z + 2)/7
Suppose 2*r + 8 = 20. Suppose -3*h - h + 2*d - r = 0, -3*d = -9. Factor -1/3*j**2 + 1/3*j**3 + 0 + h*j.
j**2*(j - 1)/3
Let c = -6 + 7. Suppose -a + 3 = -5*p, -a - p + 2 = -c. Solve -8*h**2 + h**a - 2 + h**2 + h**3 + h**2 + 6*h = 0.
1
Let o(x) = x**2 + 20*x + 21. Let g be o(-19). Factor 0*u + 1/5*u**g + 0.
u**2/5
Suppose -5*j = -4*i - 1, -5 = -j + i - 5*i. Suppose j = 5*p - 9. Determine l, given that 1/2*l**3 + 1/2*l**p + 0 + 0*l = 0.
-1, 0
Let a(y) be the third derivative of -y**5/140 + y**4/14 - 3*y**3/14 + 17*y**2. Solve a(t) = 0.
1, 3
Let f = -11 - -15. Suppose 5*d + 2*y - 3*y = 16, 5*y - 4 = f*d. Factor -v**4 - 2*v**4 + 2*v**d.
-v**4
Let a(r) be the third derivative of -r**8/840 - r**7/75 - 19*r**6/300 - r**5/6 - 4*r**4/15 - 4*r**3/15 - 2*r**2 + 4*r. Suppose a(p) = 0. What is p?
-2, -1
Let b = 1123/6 + -557/3. Factor b*h**2 + 1/2*h**3 - 1/2*h - 1 - 1/2*h**4.
-(h - 2)*(h - 1)*(h + 1)**2/2
Suppose 3*d = -4*r - 19, 6*r + 16 = r + 4*d. Let c be (r/(-4))/((-1)/(-3)). Suppose -y**c + y**5 + 3*y**3 - 2*y**4 - y**3 = 0. Calculate y.
0, 1
Let c(i) be the first derivative of -2*i**7/315 - i**6/360 - i**2/2 - 11. Let h(s) be the second derivative of c(s). Factor h(d).
-d**3*(4*d + 1)/3
Let m = 7 - 5. Suppose k + m*p - 9 = 4*p, -5*p + 49 = 4*k. Find w such that -4*w**3 + 16*w**2 - 24*w + 2*w**2 - 3 + k + 0 = 0.
1/2, 2
Suppose -4*o = 3*f, 4*f - 3*o - 1 = 6*f. Factor 5*x + x - 3*x + 3*x**2 - 3*x**3 + 3*x**4 - 6*x**f.
-3*x*(x - 1)*(x + 1)**2
Let v(j) be the second derivative of j**4/12 - j**3/6 + j**2/2 - 2*j. Let o(a) = -1. Let l(z) = o(z) + v(z). Factor l(t).
t*(t - 1)
Suppose 112 - 4 = 9*u. Let p = 14 - u. Let -1/2 + 3/2*s**p + s = 0. What is s?
-1, 1/3
Find j such that j**3 + 1/2*j**2 + 0*j + 1/2*j**4 + 0 = 0.
-1, 0
Suppose 58 = 21*c + 8*c. Find y, given that 0 + 16/9*y + 2*y**4 + 4/3*y**3 - 40/9*y**c = 0.
-2, 0, 2/3
Let t(j) be the second derivative of 1/4*j**4 - 1/2*j**3 + 0 + 0*j**2 + 8*j. Suppose t(k) = 0. What is k?
0, 1
Let y(l) be the third derivative of 0 - 1/112*l**8 - 1/10*l**6 + 2/35*l**7 - l**3 + 5/8*l**4 - 2*l**2 + 0*l - 1/10*l**5. Factor y(o).
-3*(o - 2)*(o - 1)**3*(o + 1)
Solve 2 + 5*a**2 + 10*a + 3 + 0 = 0 for a.
-1
Let w(y) be the first derivative of -2*