+ 3*v + 1/12*v**4. Factor l(s).
-s*(s - 2)*(s - 1)/3
Let t(u) be the third derivative of 1/4*u**4 + 0 + 1/15*u**5 + 1/3*u**3 + 0*u + u**2. Factor t(d).
2*(d + 1)*(2*d + 1)
Let q(m) = m**5 + 6*m**4 - 3*m**3 - 6*m**2 + 7*m. Let j(c) = c**4 - c**2 + c. Let p(n) = 5*j(n) - q(n). Let p(a) = 0. Calculate a.
-2, -1, 0, 1
Let k(o) be the second derivative of 0*o**3 - 7*o + 0 + 0*o**5 + 1/40*o**6 + 3/8*o**2 - 1/8*o**4. Factor k(q).
3*(q - 1)**2*(q + 1)**2/4
Let k be ((-144)/(-20))/((-3)/(-10)). Let i be (-2)/6*k/(-18). Factor i + 2/9*j**2 + 2/3*j.
2*(j + 1)*(j + 2)/9
Let t(w) be the third derivative of -2*w**6/105 + 2*w**5/105 + w**4/24 + w**3/42 - 5*w**2. Suppose t(n) = 0. What is n?
-1/4, 1
Let m(b) be the first derivative of 1/5*b**2 - 6/5*b**3 + 0*b - 32/25*b**5 + 12/5*b**4 + 2. What is r in m(r) = 0?
0, 1/4, 1
Let i be (-2 - 68/(-32))*2. Let m(x) be the first derivative of -2 - 1/2*x + 5/8*x**2 - i*x**3. Factor m(l).
-(l - 1)*(3*l - 2)/4
Suppose 5 = 3*t - 7. Factor t*r**2 - 2*r**2 - 6 + r**2 - 3*r.
3*(r - 2)*(r + 1)
Determine v so that -9/5*v**2 + 3/5*v + 0 = 0.
0, 1/3
Let f(r) be the third derivative of r**6/1080 - r**5/270 - r**4/72 - 13*r**2. Solve f(h) = 0.
-1, 0, 3
Suppose 4*p + 6*k - 24 = 2*k, -5*p - 4*k = -28. Solve 4*m**3 + 64*m**5 + 38*m**p + 0 - 134*m**4 + 4*m + 0 + 24*m**2 = 0.
-1/4, 0, 1
Let n = -3/64 - -233/2240. Let q(j) be the first derivative of 1 + 2/21*j**3 + 0*j**2 - n*j**5 + 1/21*j**6 - 1/14*j**4 + 0*j. Suppose q(f) = 0. What is f?
-1, 0, 1
Let c(a) be the second derivative of a**4/4 + 4*a**3 - 30*a**2 + 48*a. Let c(j) = 0. What is j?
-10, 2
Let i(p) be the third derivative of 1/8*p**4 + 3/40*p**6 + 0*p - p**2 + 0*p**3 + 0 - 1/70*p**7 - 3/20*p**5. Suppose i(g) = 0. What is g?
0, 1
Factor 3/4*o**2 + 21/4*o - 6.
3*(o - 1)*(o + 8)/4
Suppose v = -5*p + 13, 2*p - 3*v = p - 7. Factor 2/7 - 4/7*o + 2/7*o**p.
2*(o - 1)**2/7
Factor -j**2 - 2 + 2*j + 3 + 0*j**2 + 2*j**2.
(j + 1)**2
Suppose -13 = -q - 5*r, -2*q = -6*q + 2*r - 14. Let c(j) = -3*j - 3. Let z be c(q). Find h, given that 0 - z*h**2 + 5*h**2 - 2 = 0.
-1, 1
Let o(u) be the first derivative of -2*u + 1/15*u**3 + 1/15*u**4 + 0*u**2 + 2 - 3/50*u**5. Let p(b) be the first derivative of o(b). Factor p(m).
-2*m*(m - 1)*(3*m + 1)/5
Let u(l) be the third derivative of -l**5/450 - l**4/180 + l**2 - 1. Factor u(j).
-2*j*(j + 1)/15
Suppose 3*o + o + 5*j = 77, 60 = 5*o - j. Factor 11*s**2 - o*s**2 - s - s.
-2*s*(s + 1)
Suppose i + 3*y = 3, 2*i + 5 = 5*i + 5*y. Determine p, given that i*p**3 + 0 - p**4 - 1/2*p**5 + 1/2*p + p**2 = 0.
-1, 0, 1
Let r(p) = 4*p**2 + 2. Let l be r(2). Suppose -2*k - 9 = -2*i - k, -i - l = 4*k. Factor -i*y**3 + 11*y + 4*y**2 - 11*y.
-2*y**2*(y - 2)
Factor -1/2*f**2 + 3/2*f + 0.
-f*(f - 3)/2
Let l(t) be the second derivative of -t**5/80 - t**2 - 4*t. Let h(p) be the first derivative of l(p). Factor h(s).
-3*s**2/4
Let h(t) be the second derivative of 0*t**3 + 0 + 1/63*t**7 - 2*t + 0*t**2 + 1/18*t**4 - 1/45*t**6 - 1/30*t**5. Suppose h(y) = 0. Calculate y.
-1, 0, 1
Suppose w + 2*w - 7 = p, -3 = -5*p - 4*w. Let y be 5*1/(-1)*p. Find t, given that 0 + 11*t + 4 + t**2 + y*t**2 + 3*t = 0.
-2, -1/3
Let o(q) be the second derivative of -2*q + 0*q**6 - 1/20*q**5 + 0*q**2 + 0*q**4 + 0 + 1/42*q**7 + 0*q**3. Determine y, given that o(y) = 0.
-1, 0, 1
Factor -2/7*b**4 + 4/7*b**2 + 0 + 2/7*b**3 + 0*b.
-2*b**2*(b - 2)*(b + 1)/7
Let o(c) = -3*c**2 + 23*c - 20. Let j(p) = -p**2 + 8*p - 7. Let t(l) = -17*j(l) + 6*o(l). Factor t(h).
-(h - 1)**2
Let c(z) = -12*z**4 - 9*z**3 - 3*z**2 - 6*z - 15. Suppose -4*a = -25 - 35. Let s(x) = -x**4 - x**3 - 1. Let f(h) = a*s(h) - c(h). Factor f(b).
-3*b*(b - 1)*(b + 1)*(b + 2)
Let y(d) = d + 14. Let l be y(-12). Let 3 - 3*h**2 + 3*h**4 - 4*h**l - 4*h**2 + 5*h**2 = 0. What is h?
-1, 1
Let d(f) = f**3 - 5*f**2 + 5*f - 4. Let v be d(4). What is w in -2/3*w**3 + 5/3*w**2 + v - 2/3*w = 0?
0, 1/2, 2
Let i(b) = -b**2 - 4*b + 3. Let u(o) = 2*o**2 + 8*o - 5. Let x(t) = -11*i(t) - 6*u(t). Factor x(w).
-(w + 1)*(w + 3)
Factor 18/5 - 6/5*p - 2*p**2 - 2/5*p**3.
-2*(p - 1)*(p + 3)**2/5
Let x be 1 + (0 - -2) - 0. Factor -2 + 6*u**4 + 4*u**3 + 9*u**2 - 1 + 11*u**x - 3*u.
3*(u + 1)**3*(2*u - 1)
Determine k, given that -3/4*k**5 + 3/4*k**4 + 0*k**2 + 0 + 0*k**3 + 0*k = 0.
0, 1
Suppose -24 = -5*a + 11. Let r = 9 - a. What is g in -4*g + 0*g**r + g**2 + 4*g - g**4 = 0?
-1, 0, 1
Let g(u) be the first derivative of 2*u**4/5 + 2*u**3/5 - 9*u**2/5 + 4*u/5 - 4. Let g(p) = 0. What is p?
-2, 1/4, 1
Find a such that -2/3*a**3 - 16/3*a**2 - 20/3 + 38/3*a = 0.
-10, 1
Let p(x) be the third derivative of -1/144*x**6 + 0*x + 2*x**2 + 0*x**3 + 1/420*x**7 + 1/360*x**5 + 0 + 1/144*x**4. Factor p(h).
h*(h - 1)**2*(3*h + 1)/6
Suppose -2*y - 2*y = -8. Factor -5 + 16*h**2 + 8*h**3 - y*h**3 + 3 - 2 + 6*h.
2*(h + 1)*(h + 2)*(3*h - 1)
Factor 3/4 + 3/4*z - 3/4*z**2 - 3/4*z**3.
-3*(z - 1)*(z + 1)**2/4
Let p(c) be the second derivative of -c**2 - 5/12*c**4 + 7/30*c**6 + 3/2*c**3 - 9/20*c**5 + 6*c + 0. Find w such that p(w) = 0.
-1, 2/7, 1
Let o(s) = -4*s**5 + 11*s**4 - 11*s**3 - 5*s. Let q(v) = -12*v**5 + 32*v**4 - 32*v**3 - 16*v. Let p(n) = -16*o(n) + 5*q(n). What is d in p(d) = 0?
0, 2
Suppose 0 = -x - 0*x - 8. Let g be x/12 + (-11)/(-3). Determine s, given that -1/5*s**4 + 0*s**g + 0*s**2 + 0 + 0*s = 0.
0
Factor -5*b**2 + 5*b**2 - 10*b**3 + 4*b**2.
-2*b**2*(5*b - 2)
Let r(h) = -h - 6. Let i be r(-11). Factor -8*y**3 - 8*y**2 - 8*y**4 - 4*y**3 + 6*y**5 - 2*y - 4*y**5 - 4*y**i.
-2*y*(y + 1)**4
Let j be 5 + 2 + -4 + 5. Factor -3*k**2 + j*k - 20*k + 10*k - k**3.
-k*(k + 1)*(k + 2)
Let s = 997/1182 + -2/197. Find o such that 4/3*o**4 + 1/3 - 5/3*o**2 - s*o**5 + 2/3*o**3 + 1/6*o = 0.
-1, -2/5, 1
Factor 11/8*j - 9/8*j**2 - 1/4.
-(j - 1)*(9*j - 2)/8
Factor 27/4*x**3 + 7/4*x**5 + 13/4*x**2 + 0 + 23/4*x**4 + 1/2*x.
x*(x + 1)**3*(7*x + 2)/4
Let w(j) be the second derivative of -j**5/240 + j**3/24 - 3*j**2/2 + 2*j. Let n(y) be the first derivative of w(y). Factor n(q).
-(q - 1)*(q + 1)/4
Let t = -4/3 + 32/15. Let q = t - 2/15. Suppose q*y**2 + 1/3*y**3 + 1/3*y + 0 = 0. What is y?
-1, 0
Let q(r) be the first derivative of 5*r**4/8 + 25*r**3/3 + 40*r**2 + 80*r - 11. Solve q(j) = 0 for j.
-4, -2
Let h(p) be the third derivative of -2/175*p**7 + 0*p**3 + 4*p**2 + 0*p - 1/50*p**5 + 0 - 1/40*p**6 - 1/560*p**8 + 0*p**4. Suppose h(u) = 0. What is u?
-2, -1, 0
Find d, given that -46*d + 23*d + 8 + 29*d - 2*d**2 = 0.
-1, 4
Let y(a) be the third derivative of -1/60*a**5 - 2*a**2 + 0*a + 1/18*a**4 + 2/9*a**3 + 0. Factor y(r).
-(r - 2)*(3*r + 2)/3
Let g(v) be the second derivative of v**7/7 - 13*v**6/10 + 69*v**5/20 - 3*v**4/4 - 9*v**3/2 - 4*v. Suppose g(w) = 0. What is w?
-1/2, 0, 1, 3
Let k(h) be the first derivative of -15*h**4/14 - 8*h**3/3 - 11*h**2/7 + 4*h/7 - 44. Solve k(q) = 0 for q.
-1, 2/15
What is r in -4*r**3 + 3/2*r**4 - 2*r**2 + 0*r + 9/2*r**5 + 0 = 0?
-2/3, 0, 1
Let c(v) = v**3 - v**2 + v - 1. Let f = -21 - -22. Let u(y) = -y + 1. Let q(x) = x - 5. Let a be q(6). Let i(s) = a*u(s) + f*c(s). Suppose i(d) = 0. What is d?
0, 1
Let r(q) be the second derivative of -4/15*q**3 + q - 4/5*q**2 - 1/30*q**4 + 0. Factor r(m).
-2*(m + 2)**2/5
Suppose -o - 2 + 7 = 0. Let p(v) = -4*v**3 + 2*v - 4. Let q(g) = -9*g**3 - g**2 + 4*g - 9. Let w(k) = o*p(k) - 2*q(k). Suppose w(u) = 0. Calculate u.
-1, 1
Find b such that 3*b + 7*b**4 + 3*b**5 + 18*b**3 + 12*b**2 + 0*b**5 + 0*b**5 + 5*b**4 = 0.
-1, 0
Suppose -4*x = -0*x. Suppose 0 = -4*w - x*w + 8. Factor 1/4 - 1/4*r**w - 1/4*r**3 + 1/4*r.
-(r - 1)*(r + 1)**2/4
Let k(b) be the first derivative of -3*b**5/10 + 3*b**4/4 + 3*b**3/2 - 3*b**2 - 6*b + 1. Suppose k(q) = 0. Calculate q.
-1, 2
Let d(p) be the first derivative of 0*p**2 - 1/2*p**4 + 2/3*p**3 + 7 + 0*p. Factor d(h).
-2*h**2*(h - 1)
Let c be 20/70 + 4/(-14). Let s(z) be the third derivative of 0 + c*z**3 + 0*z + 5*z**2 + 0*z**5 - 1/96*z**4 + 1/480*z**6. Factor s(y).
y*(y - 1)*(y + 1)/4
Let v be (-26)/(-52)*(0 - 0). Let z(x) be the second derivative of 2/25*x**5 + 2*x + 0*x**2 + 1/25*x**6 + 1/30*x**4 + v + 0*x**3. Solve z(g) = 0.
-1, -1/3, 0
Let g(z) = -z**2 - 8*z - 3. Let q be g(-7). Factor -q*s**2 - 12*s**4 - 2*s + 14*s**3 + 6*s**4 - 2*s**4.
-2*s*(s - 1)**2*(4*s + 1)
Let d(s) be the second derivative of -8/3*s