)*(i + 1)**2*(i + 3)
Factor -4/11 + 10/11*q - 6/11*q**2.
-2*(q - 1)*(3*q - 2)/11
Let x = 9 - -5. Let b = -10 + x. Factor -4*g**3 + 5*g**3 + 2*g**2 - b*g**2.
g**2*(g - 2)
Let m be 24/(-16)*1/(-3). Let a(f) be the first derivative of -3/8*f**4 + 0*f - 1/4*f**2 + m*f**3 + 1/10*f**5 + 4. Find d such that a(d) = 0.
0, 1
Let v(j) = -3*j**2 + 4*j + 3. Let b(u) be the first derivative of -4*u**3/3 + 5*u**2/2 + 4*u + 1. Let o(i) = -4*b(i) + 5*v(i). Factor o(c).
(c - 1)*(c + 1)
Let r(g) be the third derivative of 0*g**3 - 1/60*g**6 + 4*g**2 + 0*g + 0 - 1/12*g**4 - 1/15*g**5. Factor r(s).
-2*s*(s + 1)**2
Suppose -3/5*m**2 + 9/5*m**3 - 3/5*m**4 + 6/5 - 9/5*m = 0. What is m?
-1, 1, 2
Let c(v) be the third derivative of 1/240*v**6 + 5*v**2 + 1/24*v**4 + 0*v**3 + 0*v + 1/40*v**5 + 0. Find g such that c(g) = 0.
-2, -1, 0
Let x = 475 - 473. Suppose 0 + 6/13*a - 2/13*a**x = 0. Calculate a.
0, 3
Suppose -3*f = 5*k - 7, f - 9 = -0*k + 5*k. Let s = f - 2. Determine z, given that z**2 + z - s + 2 = 0.
-1, 0
Let q(p) be the second derivative of p**6/195 + p**5/65 - 2*p**3/39 - p**2/13 + 3*p. Factor q(y).
2*(y - 1)*(y + 1)**3/13
Let t be 2/7 + 1/(-28). Let z be 5 - (-2 + (-6 - -12)). Factor -t*x**2 - x - z.
-(x + 2)**2/4
Let u(k) = 3*k**4 + 12*k**2 - 11*k + 6. Let y(p) = 2*p**4 + 6*p**2 - 5*p + 3. Let b be (-6)/(-12) - 18/(-4). Let v(s) = b*y(s) - 3*u(s). Factor v(a).
(a - 1)**3*(a + 3)
Let k(o) be the first derivative of -2*o**5/5 - 11*o**4/6 - 5*o**3/3 + 2*o**2 + 5*o - 1. Let s(m) be the first derivative of k(m). Factor s(b).
-2*(b + 1)*(b + 2)*(4*b - 1)
Let v be 1 + 12/(-9) - (-1)/3. Factor 0 + 2/9*h**2 + v*h + 2/9*h**4 - 4/9*h**3.
2*h**2*(h - 1)**2/9
Suppose -3*h = -2*h + 14. Let n be (-24)/(-42) - (-8)/h. Let -7/2*g**2 + n - g - 3/2*g**3 = 0. What is g?
-2, -1/3, 0
Let c(y) be the first derivative of -y**5/5 - 3*y**4/2 - 3*y**3 + 2*y**2 + 12*y + 29. Let c(s) = 0. Calculate s.
-3, -2, 1
Let -6*m - 12*m**4 + 14*m**2 - 4*m**3 - 2 + 8*m + 7*m**5 - 5*m = 0. What is m?
-1, -2/7, 1
Let b(i) = -27*i**2 + 17*i - 6. Let v(z) = z - 1. Let w(n) = -b(n) + 5*v(n). Let l(h) = -217*h**2 + 97*h - 8. Let p(j) = 6*l(j) + 51*w(j). Factor p(u).
3*(5*u - 1)**2
Suppose -15 = 4*d + 3*u, u = -3*d - u - 10. Factor -8/3*a**2 + 4*a**3 + 2/3*a + 2/3*a**5 - 8/3*a**4 + d.
2*a*(a - 1)**4/3
Let o(c) be the third derivative of c**7/140 - c**6/40 + c**5/40 + 10*c**2. Factor o(r).
3*r**2*(r - 1)**2/2
Let k = 17 + -14. Factor 12*g**3 + k*g**4 + 12*g + 18 + 5*g**2 - 15 + 13*g**2.
3*(g + 1)**4
Let z(a) be the third derivative of -a**6/360 - a**5/60 - 4*a**3/3 + 9*a**2. Let x(h) be the first derivative of z(h). Factor x(d).
-d*(d + 2)
Let w be 21/(-15)*-5 + -4. Let r(q) be the first derivative of 0*q + 0*q**w + 0*q**2 - 1/12*q**4 + 2/15*q**5 - 1 - 1/18*q**6. Find z, given that r(z) = 0.
0, 1
Let l(p) be the third derivative of -p**7/735 + p**6/105 + p**5/105 - p**4/7 - 3*p**3/7 + 17*p**2. Let l(i) = 0. Calculate i.
-1, 3
Let h = -1 - 1. Let y(s) = s**3 + s**2 + s - 1. Let u(a) = 5*a**2 + 2*a - 3. Let w(m) = h*u(m) + 4*y(m). Solve w(c) = 0 for c.
-1/2, 1
Let j(s) be the third derivative of 0*s + 3*s**2 + 1/120*s**5 + 0 - 1/48*s**4 + 0*s**3. Factor j(p).
p*(p - 1)/2
Suppose 0*k - 9 = 3*k. Let n be -1 - (k - -2)*1. Factor 1/2*q**3 + 0*q + n + 1/4*q**2 + 1/4*q**4.
q**2*(q + 1)**2/4
Let s(h) be the third derivative of -h**8/504 + 2*h**7/315 - h**6/180 - 6*h**2. Suppose s(v) = 0. Calculate v.
0, 1
Let g(q) be the second derivative of -1/60*q**5 + 0 + 0*q**2 - 1/36*q**4 + q + 0*q**3 + 1/126*q**7 + 1/90*q**6. Determine m, given that g(m) = 0.
-1, 0, 1
Let l(u) be the second derivative of u**6/10 + 3*u**5/20 - 3*u**4/4 - u**3/2 + 3*u**2 - 9*u. Factor l(k).
3*(k - 1)**2*(k + 1)*(k + 2)
Let k = 14 - 11. Factor -3 + 2 + 1 + 2*m**k - 2*m**5.
-2*m**3*(m - 1)*(m + 1)
Solve 0*x + 0 + 0*x**3 + 3/2*x**2 - 3/8*x**4 = 0.
-2, 0, 2
Suppose 11 - 14 = -3*l. Let j(k) = 3*k**3 - 5*k**2 + 2*k + 5. Let w(z) = z**3 - z**2 + 1. Let u(i) = l*j(i) - 5*w(i). Factor u(p).
-2*p*(p - 1)*(p + 1)
Let 2*b - 4 - 1/4*b**2 = 0. Calculate b.
4
Let w = -30/13 - -73/26. Find v, given that w - 1/2*v**2 + 0*v = 0.
-1, 1
Suppose 4*h = b - 6, -7*b + 12 = -3*b - 4*h. Suppose 2/7 + 2/7*y**b - 4/7*y = 0. What is y?
1
Let d(x) be the first derivative of 5*x**4/4 + 10*x**3/3 - 5*x**2/2 - 10*x + 7. Factor d(p).
5*(p - 1)*(p + 1)*(p + 2)
Let 0*v + 1/4*v**4 - 1/2*v**3 + 0 + 1/4*v**2 = 0. What is v?
0, 1
Factor 10 + 13*f**2 - 5*f**3 - 2*f**2 - 25*f + 9*f**2.
-5*(f - 2)*(f - 1)**2
Let s(p) be the third derivative of -p**6/150 + 2*p**5/75 - p**4/30 - 3*p**2. Factor s(u).
-4*u*(u - 1)**2/5
Let l(j) = -8*j**4 + 8*j**3 + 3*j**2 + 6*j + 5. Let a(t) = t**4 - t**3 - t - 1. Let z(f) = -14*a(f) - 2*l(f). Suppose z(x) = 0. What is x?
-1, 1, 2
Let k(c) be the second derivative of 0*c**3 - 7*c + 1/4*c**4 + 0*c**2 + 0. Factor k(u).
3*u**2
Let y(p) be the third derivative of 5*p**8/336 + p**7/21 - p**6/12 - p**5/3 + 5*p**4/24 + 5*p**3/3 - 28*p**2. Suppose y(k) = 0. Calculate k.
-2, -1, 1
Factor 0*j - 2/7 + 2/7*j**2.
2*(j - 1)*(j + 1)/7
Suppose 0 = -5*r + 2*r - 12. Let l be r/(-4) + 0/(-1). Factor -2*j**2 - 1 - 3*j - l + j**2.
-(j + 1)*(j + 2)
Let r = 32 + -23. Factor 0*o**3 + 21*o**2 - r*o**3 - 6*o - 6*o**3.
-3*o*(o - 1)*(5*o - 2)
Let v(j) be the second derivative of -j**7/2520 - j**6/540 - j**5/360 + j**3 - 3*j. Let q(i) be the second derivative of v(i). Suppose q(z) = 0. Calculate z.
-1, 0
Factor 1/2*i**2 + 0*i + 3/2*i**4 + 0 - 2*i**3.
i**2*(i - 1)*(3*i - 1)/2
Let b(f) = -f**3 - 4*f**2 - 5*f - 3. Let g be b(-3). Factor -2*l**g + 0*l + 0*l + 2*l.
-2*l*(l - 1)*(l + 1)
Let n(f) = f**4 + 3*f**3 - 8*f**2 + 6*f - 2. Let k(l) = 11*l**3 + 5*l**4 + 25*l + 5 - 5*l**4 - 14 + 5*l**4 - 32*l**2. Let r(z) = -2*k(z) + 9*n(z). Factor r(i).
-i*(i - 2)**2*(i - 1)
Let l(u) = 11*u**2 - u - 10. Let s(g) = g**2 - g - 1. Let a(o) = l(o) - 6*s(o). Let m(c) = 4*c**2 + 4*c - 3. Let y(k) = 3*a(k) - 4*m(k). Factor y(i).
-i*(i + 1)
Let t = 22 - -34. Determine a, given that 90*a**2 - 56*a**3 - 67*a**4 + 8 + 0*a**4 - 31*a**4 + t*a = 0.
-1, -2/7, 1
Let j = -152 - -764/5. What is r in -j*r - 14/5*r**2 + 0 = 0?
-2/7, 0
Suppose 0 = s - 4, 4*s + 4 = -4*y + 8*s. Suppose 0 + 4/5*l**y + 0*l**2 + 0*l - 2/5*l**4 = 0. What is l?
0, 2
Suppose -2 + 20/3*q - 50/9*q**2 = 0. What is q?
3/5
Suppose p = -h + 7, -2*h + 8 = 2. Suppose 3/4*b**p + 0 + 0*b**3 + 0*b**2 + 0*b = 0. What is b?
0
Let q be 1 - (1 + (-96)/22 + 0). Factor -18/11*w - q*w**2 - 32/11*w**3 - 2/11.
-2*(w + 1)*(4*w + 1)**2/11
Solve 26/9*m**4 + 10/3*m**3 + 8/9*m**5 + 0 + 2/9*m + 14/9*m**2 = 0 for m.
-1, -1/4, 0
Let l(r) = 1. Let t be 4/(-1 + 2/(-2)). Let q(i) = -i**3 + i**2 + 2*i - 2. Let b(o) = t*l(o) - q(o). Let b(h) = 0. Calculate h.
-1, 0, 2
Let l(m) be the third derivative of 0 + m**2 + 0*m + 1/240*m**5 - 1/12*m**3 - 1/96*m**4. Factor l(a).
(a - 2)*(a + 1)/4
Suppose 0 = -13*l + 15*l. Factor l + 0*q - 3/2*q**2.
-3*q**2/2
Let t = 33 + -31. Factor -2/7*d**3 + 2/7*d + 0*d**t + 0.
-2*d*(d - 1)*(d + 1)/7
Let l(k) be the first derivative of -3 - 5/6*k**4 + 1/2*k**2 - 2/3*k**3 + 7/5*k**5 + 1/3*k - 1/2*k**6. Factor l(b).
-(b - 1)**3*(3*b + 1)**2/3
Let h = -61 + 66. Let l(t) be the first derivative of -1/10*t**h + 0*t**4 - 1/12*t**6 + 0*t**3 + 1 + 0*t + 0*t**2. Let l(w) = 0. Calculate w.
-1, 0
Let c(y) be the third derivative of 0*y**3 + 1/90*y**5 + 0*y + 0 + y**2 + 1/36*y**4. Find b such that c(b) = 0.
-1, 0
Let n = 35 + -21. Let i = n - 12. Suppose 8/7 - 8/7*a + 2/7*a**i = 0. Calculate a.
2
Let u be (-4)/1680*(6/3)/(-1). Let m(k) be the third derivative of 0*k + 1/42*k**4 + 2*k**2 - u*k**5 - 1/21*k**3 + 0. Suppose m(x) = 0. Calculate x.
1
Let n(j) = 14*j**4 + j**3 + 5*j**2 + 5*j - 5. Let x(q) = 69*q**4 + 6*q**3 + 24*q**2 + 24*q - 24. Let u(l) = 24*n(l) - 5*x(l). Find a such that u(a) = 0.
-2/3, 0
Let a(k) be the first derivative of k**6/6 + 13*k**5/5 + 47*k**4/4 + 23*k**3/3 - 24*k**2 - 36*k - 25. Factor a(w).
(w - 1)*(w + 1)**2*(w + 6)**2
Let p(d) = -2*d**3 + 3*d**2 - 11*d. Let w(k) = -2*k**3 + 4*k**2 - 10*k. Let r(n) = -4*p(n) + 5*w(n). Factor r(f).
-2*f*(f - 3)*(f - 1)
Let c(m) be the second derivative of 0*m**6 + 0*m**2 + 0 + 0*m**3 + 4*m - 1/6*m**4 + 0*m**5 - 1/840*m**7. Let f(d) be the third derivative of c(d). Factor f(s).
-3*s**2
Let g = -19 + 23.