 - s**3/3 + 10*s**2/7 - 40*s. Solve b(j) = 0 for j.
-2, 1, 5
Let w(z) be the third derivative of z**7/42 - z**6/6 + z**5/4 + 5*z**4/6 - 10*z**3/3 + 12*z**2. Determine i so that w(i) = 0.
-1, 1, 2
Let f(d) = 15*d**4 - 3*d**3 - 30*d**2. Let r(c) = c**4 - 2*c**2. Let g(p) = f(p) - 12*r(p). Factor g(j).
3*j**2*(j - 2)*(j + 1)
Let c be -4*(-4)/(-3 - -7). What is q in 0*q + 0*q**2 - 4/3*q**3 + 2/3*q**5 - 2/3*q**c + 0 = 0?
-1, 0, 2
Let r(i) be the third derivative of i**7/315 + i**6/180 - i**5/30 - i**4/36 + 2*i**3/9 - 16*i**2. Factor r(m).
2*(m - 1)**2*(m + 1)*(m + 2)/3
Suppose 5 = -2*l + 5*f, 0*f - 18 = -3*l - f. Let i(n) be the second derivative of -1/40*n**l - n + 1/12*n**3 + 1/24*n**4 + 0 - 1/4*n**2. Factor i(b).
-(b - 1)**2*(b + 1)/2
Let q be 2/((-270)/(-39)) + (-6)/(-54). Determine j so that 0 + q*j + 2/5*j**2 = 0.
-1, 0
Let b(k) be the third derivative of 0*k - 1/2*k**4 + 0 + 4/3*k**3 - k**2 + 1/15*k**5. Factor b(u).
4*(u - 2)*(u - 1)
Suppose 0 = 4*t - 3*h + 3 + 2, -2*t = -4*h. Let q be t/8 + (-42)/(-8). Solve s - 2*s**5 - 2*s**3 - s**5 + q*s**5 - s**5 = 0 for s.
-1, 0, 1
Let s(k) = 0*k**2 + 2 + 2*k + k**2 + 0*k**2 - 5*k. Let d be s(2). Solve -2/9*f**3 + d*f**2 + 0*f + 0 + 2/9*f**4 = 0.
0, 1
Suppose -h + 3*h = 0. Suppose -10 + h = -5*b. Suppose 3*m**2 - 3*m**4 - 4*m**b + 0*m**3 + m**5 + 3*m**3 = 0. Calculate m.
0, 1
Let a(o) = -o. Let j be a(1). Let g be 1 + ((-8)/6 - j). Factor 0 + 7/3*p**2 + g*p.
p*(7*p + 2)/3
Let j(t) be the first derivative of t**7/420 - t**6/180 - t**3 + 7. Let b(x) be the third derivative of j(x). Suppose b(y) = 0. Calculate y.
0, 1
Factor -c**3 + 3 + 9*c**2 + 0*c + 6*c + 3*c + 4*c**3.
3*(c + 1)**3
Let b(v) be the third derivative of -3*v**2 + 1/36*v**4 + 0 - 1/90*v**6 + 0*v**3 + 0*v**7 + 0*v**5 + 0*v + 1/504*v**8. Solve b(n) = 0 for n.
-1, 0, 1
Let m(n) be the third derivative of n**8/336 - n**7/210 - n**6/120 + n**5/60 + 2*n**2. Find l such that m(l) = 0.
-1, 0, 1
Let h be (6 + 1)*(-8)/(-28). Find o such that 2*o + 2*o**3 + 0 - h*o - 10*o**2 - 6 + 14*o = 0.
1, 3
Factor 1/3*k**2 + 0*k + 0.
k**2/3
Let p(b) be the first derivative of -b**3/9 + 8*b**2/3 - 64*b/3 - 10. Let p(t) = 0. Calculate t.
8
Let u(a) be the first derivative of a**8/560 + a**7/980 + a**3 + 5. Let k(j) be the third derivative of u(j). Factor k(i).
3*i**3*(7*i + 2)/7
Suppose -p**2 - 9*p - 8*p**2 + p - 4*p**3 - 3*p**2 = 0. What is p?
-2, -1, 0
Let s(l) be the first derivative of -1 + 0*l - l**2 - 1/21*l**3 + 1/105*l**5 - 1/84*l**4. Let x(y) be the second derivative of s(y). Solve x(o) = 0 for o.
-1/2, 1
Let r(u) = -5*u**4 + 35*u**3 - 65*u**2 - 15*u + 93. Let n(k) = 10*k**4 - 70*k**3 + 130*k**2 + 30*k - 187. Let v(f) = 3*n(f) + 7*r(f). Factor v(m).
-5*(m - 3)**2*(m - 2)*(m + 1)
Let q be (-4)/(-38) + (-52)/494. Factor -1/6*b**3 - 1/6*b**4 + 0*b + 1/3*b**2 + q.
-b**2*(b - 1)*(b + 2)/6
Let w be (-8)/(-32)*584/(-6). Let z = 26 + w. Factor p**4 + 0*p + 0 + 2/3*p**2 - z*p**3.
p**2*(p - 1)*(3*p - 2)/3
Let y(v) = 22*v**4 - 18*v**3 - 10*v**2 + 42*v - 12. Let x(p) = -9*p**4 + 7*p**3 + 4*p**2 - 17*p + 5. Let z(s) = -12*x(s) - 5*y(s). Factor z(g).
-2*g*(g - 3)*(g - 1)*(g + 1)
Let m(w) = -4*w**3 + 4*w**2 + 4*w + 2. Let l(r) = 2 + 8*r**4 + r**2 - 7*r**4 - 1. Let c(u) = 2*l(u) - m(u). Factor c(a).
2*a*(a - 1)*(a + 1)*(a + 2)
Suppose -4*x + 4*s + 16 = 0, x = 4*s - 16 + 23. Factor -1/3 - 1/3*d**x - d - d**2.
-(d + 1)**3/3
Let p(d) = d**3 + 3*d**2 - d + 2. Let k be p(-3). Suppose -13 = -2*s - k. Factor -s*l**2 - l + 3*l**2 + 0*l**2.
-l*(l + 1)
Let z be (-6 - -2)/((-4)/2). Let c be (8/(-10))/((-2)/5). Factor -4*l**c + l + 3*l**z + 2*l**2.
l*(l + 1)
Factor 3*j**3 - 7*j**2 + 9*j**2 - j**3.
2*j**2*(j + 1)
Suppose -2/19*l**2 + 16/19*l + 24/19 - 2/19*l**3 = 0. What is l?
-2, 3
Let h(p) = p**2 + p - 4. Let v be h(2). What is n in -2/3*n**v + 0 - 2/3*n = 0?
-1, 0
Let p(s) = -3*s**2 + s + 7. Let r(w) be the second derivative of -w**4/12 + 3*w**2/2 - w. Let g(j) = 2*p(j) - 5*r(j). Find k such that g(k) = 0.
1
Suppose -5*z + 3*z - 10 = 0. Let h = z + 5. Factor h*a**2 + 0*a**3 + 2/7*a**5 - 2/7*a**4 + 0*a + 0.
2*a**4*(a - 1)/7
Let m(o) = -5*o**2 + 5*o + 21. Let i(t) = -t**2 + t + 4. Let y(x) = 22*i(x) - 4*m(x). Factor y(n).
-2*(n - 2)*(n + 1)
Suppose 3*w - 3 = r + 5, 5*w - 14 = r. Suppose -w*m = 1 - 13. Factor 0*s + 0 + 8/3*s**2 - 8/3*s**3 + 2/3*s**m.
2*s**2*(s - 2)**2/3
Suppose 2*j = -3*j. Let a = 2 - j. Factor 1/3 + 0*p - 1/3*p**a.
-(p - 1)*(p + 1)/3
Factor 5*h**2 + 1/2 - 5/2*h + 5/2*h**4 - 1/2*h**5 - 5*h**3.
-(h - 1)**5/2
Suppose 5*m = -2 + 22. What is c in c + 2*c**m + 0 - 4*c**3 + 3*c**5 - 2*c**2 - 1 + 1 = 0?
-1, 0, 1/3, 1
Let z = 16 + -16. Let s(i) be the first derivative of 1/4*i**4 + 2/15*i**5 + 2/9*i**3 + 1/36*i**6 + z*i + 4 + 1/12*i**2. Factor s(v).
v*(v + 1)**4/6
Let x(s) be the first derivative of -1/2*s**4 - 1/2*s**2 - 2 - 1/5*s**5 - 1/30*s**6 - s - 2/3*s**3. Let p(h) be the first derivative of x(h). Factor p(b).
-(b + 1)**4
Factor -4/7 + 15/7*a**2 + 4/7*a.
(3*a + 2)*(5*a - 2)/7
Let w(n) be the third derivative of -n**8/1344 + n**7/420 - n**5/120 + n**4/96 + 33*n**2. Find p, given that w(p) = 0.
-1, 0, 1
Let w(x) be the first derivative of -4*x**3/21 + 8*x**2/7 + 20*x/7 + 3. Solve w(t) = 0 for t.
-1, 5
Factor 3*q**4 - q + 5*q + 5*q**4 - 4*q**3 - 2 - 6*q**4.
2*(q - 1)**3*(q + 1)
Let r(s) = -3. Let x(t) = -t**2 + 3*t + 1. Let y(n) = -3*r(n) - 3*x(n). Find q such that y(q) = 0.
1, 2
Factor -4*u + u**2 - 12*u - 32 - 3*u**2.
-2*(u + 4)**2
Let p(f) = 4*f**3 - 5*f**2 - 2*f + 2. Let v(r) = r**3 - r**2 - r. Let k(w) = -4*p(w) + 20*v(w). Factor k(d).
4*(d - 2)*(d + 1)**2
Let d(p) be the second derivative of 1/30*p**5 - 1/9*p**3 - p - 1/18*p**4 + 1/45*p**6 + 0 + 0*p**2. Factor d(c).
2*c*(c - 1)*(c + 1)**2/3
Suppose 5*g - 5*i - 5 = 0, -2*i = -g - 1 - 3. Suppose -3*n = -5*u - 14 - g, 20 = -5*u. Factor -1/6*w**2 + 0*w + n.
-w**2/6
Let i = 8 - 8. Let 3*a**2 - a**2 + a + i*a**2 + 2 - 5*a = 0. What is a?
1
Let l = 10 - 1. Let k = -5 + l. Factor 2*p**3 + 4*p**2 + 2*p**4 - 2*p - 14*p**2 + 4*p**4 + k.
2*(p - 1)*(p + 1)**2*(3*p - 2)
Let h(d) be the first derivative of d**4 - 20*d**3/3 + 14*d**2 - 12*d + 14. Factor h(f).
4*(f - 3)*(f - 1)**2
Let z(b) = 9*b**4 - 8*b**3 - b**2 + 8*b + 8. Let x(n) = -3*n**4 + 3*n**3 - 3*n - 3. Let u = 4 + -7. Let a(t) = u*z(t) - 8*x(t). What is i in a(i) = 0?
-1, 0, 1
Let q(m) = m - 6. Let x be q(11). Factor 0*l**x - l**5 + 0*l**4 + 3*l**5 - 2*l**4.
2*l**4*(l - 1)
Suppose y + 3 - 6 = 0. Let u = y + -1. Factor c**3 - 2*c**2 + 3*c**2 - u*c**3.
-c**2*(c - 1)
Let j = 3 - 6. Let h be (j/9)/(2/(-3)). Factor -1/2*y**3 + h*y - 1/2 + 1/2*y**2.
-(y - 1)**2*(y + 1)/2
Let u = -5 + 8. Factor -2*q**3 - u*q**3 + 3*q**3 + 3*q - 4*q + 3*q**2.
-q*(q - 1)*(2*q - 1)
Let m(s) be the second derivative of 2/3*s**3 + 4*s - 1/4*s**4 - 1/2*s**2 + 0. Factor m(t).
-(t - 1)*(3*t - 1)
Let i(t) be the second derivative of -1/3*t**3 - 1/30*t**6 + 0 + 3/40*t**5 + 1/6*t**4 - 9*t + 0*t**2 - 1/84*t**7. Suppose i(k) = 0. Calculate k.
-2, 0, 1
Suppose k + 5 = q + 2*k, q = 2*k + 11. Find d such that 3*d + 3*d + 3*d**2 - 6 + 2 + q = 0.
-1
Let n be ((-2)/(-4))/((-1)/6). Let a be n/(-15) + 2 + 1. What is u in -2/5*u**3 - 12/5*u**2 - a - 24/5*u = 0?
-2
Let y(k) be the second derivative of k**7/84 - k**5/10 + k**4/12 + k**3/4 - k**2/2 + 2*k. Solve y(q) = 0 for q.
-2, -1, 1
Let i = -583/4 + 146. Suppose -4 + 1 = -m. What is j in 0*j + 1/4*j**m + 0 - i*j**2 = 0?
0, 1
Let b be 4/5*(-15)/(-6). Let -3*j + 3*j - 2*j**b + 3*j - j = 0. What is j?
0, 1
Let v = 1 + 2. Let y(m) be the third derivative of -2*m**2 + 0 + 0*m**v + 0*m**4 + 0*m + 1/120*m**5 - 1/240*m**6. Find k, given that y(k) = 0.
0, 1
Let p be ((-952)/16)/17 + 4. Determine j, given that 0 - 3/2*j**2 - p*j**3 + j + 3/2*j**4 - 1/2*j**5 = 0.
-1, 0, 1, 2
Let s(h) = 5*h**4 - h**3 - 4*h**2 - 2*h + 2. Let d(u) = -36*u**4 + 6*u**3 + 27*u**2 + 15*u - 15. Let y(m) = -2*d(m) - 15*s(m). Factor y(a).
-3*a**2*(a - 2)*(a + 1)
Let h = 235/76 + -54/19. Factor -1/4*w**5 + 3/4*w - 1/2*w**3 + h - 3/4*w**4 + 1/2*w**2.
-(w - 1)*(w + 1)**4/4
Let f(n) be the first derivative of n**4/16 - 43. Let f(r) = 0. Calculate r.
0
Let t(z) be the first derivative of -4/7*z + 5/7*z**2 + 3 - 1/14*z**4 + 2/35*z**5 - 2/7*z**3. Factor t(k).
2*(k - 1)**3*(k + 2)/7
Let v(f) be the second d