(t). Factor r(j).
2*j**2*(j - 2)*(j - 1)**2
Let n be 747/(-21) + (-12)/28. Let d be (n/(-105))/(3/30). Factor d*m**2 + 4/7 - 18/7*m - 10/7*m**3.
-2*(m - 1)**2*(5*m - 2)/7
Suppose -5*g = -g - 8. What is d in 0 - g + 4*d**2 - 22*d**2 - 12*d = 0?
-1/3
Let a(m) be the second derivative of -m**7/210 - 3*m**2 - m. Let b(h) be the first derivative of a(h). Solve b(d) = 0 for d.
0
Factor -2/15 + 2/3*k**2 - 8/15*k.
2*(k - 1)*(5*k + 1)/15
Suppose 60 = 5*w - w. Factor -6*v**2 + w*v**3 - 9*v**4 + 5*v**2 - 5*v**2.
-3*v**2*(v - 1)*(3*v - 2)
Let b(k) be the first derivative of k**4/16 + k**3/12 - k**2/2 - k + 24. Factor b(y).
(y - 2)*(y + 1)*(y + 2)/4
Let o = -4 - -6. Suppose o*w - 3*w**2 - 4*w**4 + 5*w**2 - 2*w**3 + w**2 - 2*w**3 - 1 = 0. What is w?
-1, 1/2
Factor 0 + 2/11*p**3 - 8/11*p + 0*p**2.
2*p*(p - 2)*(p + 2)/11
Let u(h) = 16*h**2 + 15*h**2 - 39*h**2 + 9*h + 9*h**3. Let f(q) = 4*q**3 - 4*q**2 + 4*q. Let p(g) = 10*f(g) - 4*u(g). Factor p(z).
4*z*(z - 1)**2
Let h = 234/35 - 32/5. What is t in 0 + 2/7*t + h*t**3 - 4/7*t**2 = 0?
0, 1
Let c = -2 + 4. Suppose c*l = -5*w - 10, -2*l - l = 2*w + 4. Factor 0 - 1/2*m**2 - 1/2*m**3 + l*m.
-m**2*(m + 1)/2
Suppose r - 10 - 5 = -4*k, -3*r + 9 = 0. Find f, given that 4*f - 26*f**5 + 21*f**5 - 17*f**3 + 0*f**k - 18*f**4 = 0.
-2, -1, 0, 2/5
Solve 0*u + 0 + 0*u**3 - 2/17*u**2 + 2/17*u**4 = 0 for u.
-1, 0, 1
Let j be (1 - -1 - 2)/(-3). Suppose -a + j = -2. What is n in -2*n**a - 2/3 - 2/3*n**3 - 2*n = 0?
-1
Suppose -4*c - 23 = 9. Let a(p) = 15*p**3 - 14*p**4 - 2 - p**3 + 6*p**3 - 20*p. Let r(x) = -5*x**4 + 7*x**3 - 7*x - 1. Let y(w) = c*r(w) + 3*a(w). Factor y(k).
-2*(k - 1)**3*(k + 1)
Let i(o) = 4*o - 2. Let w(n) = -n**2 + 5*n - 1. Let d(h) = -6*i(h) + 4*w(h). Factor d(f).
-4*(f - 1)*(f + 2)
Let r(q) = 27*q**4 - 25*q**3 - 29*q**2 + 25*q + 2. Let v(k) = 9*k**4 - 8*k**3 - 10*k**2 + 8*k + 1. Let w(p) = -2*r(p) + 7*v(p). Factor w(f).
3*(f - 1)**2*(f + 1)*(3*f + 1)
Factor 32/9*j**3 - 16/9*j**2 + 2/9*j + 0.
2*j*(4*j - 1)**2/9
Let m = 110 - 107. Factor 2/7*k**2 + 10/7*k**m + 0*k + 0 + 16/7*k**4 + 8/7*k**5.
2*k**2*(k + 1)*(2*k + 1)**2/7
Let v = -18 - -37/2. Factor 0*j + 1/2*j**4 - v*j**2 + 0 + 0*j**3.
j**2*(j - 1)*(j + 1)/2
Factor -2*f + 4 - 6*f + 21*f**2 - 17*f**2.
4*(f - 1)**2
Factor 0 + 9/2*i**3 + 11/2*i**4 + 2*i**5 - 1/2*i + 1/2*i**2.
i*(i + 1)**3*(4*i - 1)/2
Suppose 17 + 4*i**2 - 16*i - 2 + 3 - 2 = 0. Calculate i.
2
Let m(z) be the second derivative of -3*z**5/140 + z**4/28 + z**3/7 + 38*z + 1. Factor m(k).
-3*k*(k - 2)*(k + 1)/7
Let n be (-1 + -1)/(440/(-8)). Let o(l) be the first derivative of -4/11*l**2 + n*l**5 + 2/11*l + 4/11*l**3 + 2 - 2/11*l**4. Factor o(x).
2*(x - 1)**4/11
Suppose 2*u - y - 6 = 1, u = 5*y + 17. Factor 1 - 7*c + 0*c - c**u + 1 + 8*c.
-(c - 2)*(c + 1)
Let g = -12 - -17. Suppose j = 5, -g*x = -10*j + 5*j + 15. Let 2*s**2 + s**2 - 5*s**x = 0. Calculate s.
0
Let k(b) be the second derivative of -1/40*b**6 + 3/8*b**2 - 2*b - 3/40*b**5 + 0 + 0*b**4 + 1/4*b**3. Suppose k(o) = 0. What is o?
-1, 1
Let b = -31 - -60. Suppose -33*r + b*r = -8. Solve -10/7*h - 4/7 - 2/7*h**3 - 8/7*h**r = 0 for h.
-2, -1
Let w be ((-4)/14)/((-12)/84). Let y(x) be the third derivative of -1/360*x**6 + x**w + 0*x**4 + 0*x**3 + 0*x**5 + 0 + 0*x. Factor y(h).
-h**3/3
Let l(s) be the first derivative of s**4/8 + 2*s**3/3 + s**2 - 15. Suppose l(f) = 0. Calculate f.
-2, 0
Let k(i) be the third derivative of -3*i**2 + 0*i - 1/360*i**6 + 0*i**3 - 1/36*i**4 - 1/60*i**5 + 0. Let k(y) = 0. Calculate y.
-2, -1, 0
Let u(p) be the third derivative of p**5/80 + 3*p**4/32 - p**3/2 - 10*p**2. Factor u(h).
3*(h - 1)*(h + 4)/4
Factor 3/2*b**4 + 0 + 0*b**3 - 3/2*b**2 + 0*b.
3*b**2*(b - 1)*(b + 1)/2
Let c(r) = r**3 - 4*r**2 - 3*r - 5. Let u be c(5). Factor 3*a**5 - 3*a**4 + 7*a**4 + a**u.
4*a**4*(a + 1)
Let u = -1627 - -8137/5. Factor 0 + u*h**2 + 6/5*h.
2*h*(h + 3)/5
Let q(i) = 4*i**3 + 3*i**2 + 1. Let x(k) = 15*k**3 + 11*k**2 - k + 3. Let u be 92/6 + (-2)/6. Let b = u + -9. Let w(t) = b*x(t) - 22*q(t). Factor w(a).
2*(a - 2)*(a + 1)**2
Let i(q) be the second derivative of q**7/42 + q**6/15 - q**5/20 - q**4/6 - 5*q. Factor i(c).
c**2*(c - 1)*(c + 1)*(c + 2)
Let v(t) = -t**2 + t + 1. Let j(u) = -4*u**3 - 16*u**2 + 20*u + 4. Let y(c) = -j(c) + 4*v(c). Factor y(i).
4*i*(i - 1)*(i + 4)
Let i(x) = -4*x**4 + 2*x**3 - 8*x**2 - 8*x. Let n(m) = -3*m**4 + 2*m**3 - 7*m**2 - 7*m. Let r(y) = 5*i(y) - 6*n(y). Find l such that r(l) = 0.
-1, 0, 1
Suppose 3*k + 5*q = 1, -6*k - q + 5 = -3*k. Find p such that -3/2*p**2 - 7*p + k + 7/4*p**4 + 19/4*p**3 = 0.
-2, 2/7, 1
Let i(y) be the second derivative of -y**6/6 - y**5 - 25*y**4/12 - 5*y**3/3 + 3*y. Solve i(w) = 0 for w.
-2, -1, 0
Factor 0 + 0*u**2 + 2/17*u**3 + 0*u.
2*u**3/17
Let b be (-12)/2 - (8 + 896/(-63)). Factor -2/9*a**3 - 10/9*a**2 + 0 - 2/3*a + b*a**4.
2*a*(a - 3)*(a + 1)**2/9
Suppose 3*q = 3*z - 9, -5*z + 2 = 3*q + 3. Let l(p) = 2*p. Let f be l(z). Let 1/3*c**3 + 0 - 1/3*c**f + 0*c = 0. Calculate c.
0, 1
Let z(n) = 2*n**2 + 11*n + 16. Let r be z(-2). Factor -6/5 + 3/5*d**4 - 9/5*d**r - 3/5*d**3 + 3*d.
3*(d - 1)**3*(d + 2)/5
Let i = -8 + -2. Let k be 9/6*i/(-3). Let -2*h - k*h**2 + h + 3*h**2 - h**3 = 0. Calculate h.
-1, 0
Let k be 1/4 + 21/12. Let v(q) = 4*q**2 - 1. Let n(d) = 3*d**2 - d. Let o(h) = k*v(h) - 3*n(h). Factor o(f).
-(f - 2)*(f - 1)
Let a(z) be the first derivative of -z**8/21 - 2*z**7/35 + z**6/30 - z**2/2 - 4. Let k(i) be the second derivative of a(i). Factor k(s).
-4*s**3*(s + 1)*(4*s - 1)
Let b(v) be the second derivative of v**5/16 - v**4/6 - v**3/6 + 11*v. Determine c so that b(c) = 0.
-2/5, 0, 2
Let h be ((-18)/10)/(2/(-10)). Let i(u) = u**3 - 9*u**2 + 2*u - 9. Let l be i(h). Factor -4*r - 3*r**5 - 7*r**4 - 5*r**2 + 5*r + 5*r**5 + l*r**3.
r*(r - 1)**3*(2*r - 1)
Let l(d) = -d + 2. Let b be l(1). Let x(g) = g - 5. Let f be x(7). Factor -b + 0*w + 0*w - f*w - w**2.
-(w + 1)**2
Let t(x) be the second derivative of x**7/2940 + x**6/1260 + x**3/2 - 3*x. Let n(u) be the second derivative of t(u). Factor n(i).
2*i**2*(i + 1)/7
Let p(m) = -m**3 - m**2 - m - 1. Let s(t) = -8*t**4 + 3*t**3 + 7*t**2 - 5*t - 1. Let c(f) = p(f) - s(f). Factor c(g).
4*g*(g - 1)*(g + 1)*(2*g - 1)
Let h be (1/3)/(1/21). Suppose -a - 2*a = -4*q + h, 4*q - 4 = 4*a. Factor -2*f**3 + 3 - f**2 - a.
-f**2*(2*f + 1)
Suppose 2*l + 3*l = 0. Factor 0*x**3 - 16*x**2 - 2 + l*x**3 + 7*x**3 + 0 + 11*x.
(x - 1)**2*(7*x - 2)
Factor 6/5*v + 2/5*v**2 - 8/5.
2*(v - 1)*(v + 4)/5
Let l(z) be the second derivative of z**7/63 + z**6/9 - z**5/6 - 25*z**4/18 + 40*z**3/9 - 16*z**2/3 + 6*z. Find m such that l(m) = 0.
-4, 1
Let v(q) be the second derivative of 3*q - 1/2*q**3 - 1/2*q**4 + 3/20*q**5 + 3*q**2 + 0. Find a such that v(a) = 0.
-1, 1, 2
What is s in 6/5*s**2 + 0 - 8/5*s**3 + 2/5*s = 0?
-1/4, 0, 1
Let f(m) be the third derivative of -m**7/2520 - m**6/720 + m**4/4 + 5*m**2. Let p(w) be the second derivative of f(w). Solve p(y) = 0.
-1, 0
Let m(z) = -2*z**2 + z - 1. Let v(b) = -10*b**2 - 4*b + 2. Let o(w) = 12*m(w) - 2*v(w). Factor o(l).
-4*(l - 4)*(l - 1)
Let c be (-1)/(((-9)/(-87))/(-3)). Let w be c/9 - (-10)/(-45). Factor 0*o**2 + 0 + 0*o**4 + 0*o + 0*o**w + 1/3*o**5.
o**5/3
Let w be (-1)/(-1)*(-3 - -3). Let z(m) be the first derivative of 1/2*m**4 - 2/3*m**3 + 0*m**2 - 2 + w*m. Solve z(a) = 0 for a.
0, 1
Let t(w) be the third derivative of w**9/35280 - w**8/7840 + w**6/840 - w**5/280 + w**4/6 - 4*w**2. Let l(n) be the second derivative of t(n). Factor l(f).
3*(f - 1)**3*(f + 1)/7
Factor -1/5*y**3 + 0 + 2/5*y + 1/5*y**2.
-y*(y - 2)*(y + 1)/5
Suppose 4*a - 5 - 7 = 0. Suppose 2/7*o**4 + 2/7*o**2 + 0*o + 0 + 4/7*o**a = 0. Calculate o.
-1, 0
Let a(m) = -m**3 + 12*m**2 + 3*m - 7. Let c be a(11). Let j = -1027/7 + c. Let -4/7*b + j*b**2 + 2/7 = 0. What is b?
1
Solve -13 - 33 - 10 + 28*h - 42 - 2*h**2 = 0.
7
Let f(n) be the third derivative of -n**8/70560 + n**7/17640 + n**5/20 + 2*n**2. Let p(i) be the third derivative of f(i). Factor p(y).
-2*y*(y - 1)/7
What is p in -6 - 57/2*p - 27/4*p**2 = 0?
-4, -2/9
Let g(a) be the second derivative of -a**4/6 - a**3/5 + 2*a + 6. Let g(s) = 0. Calculate s.
-3/5, 0
Let k(s) be the first derivative of -s**6 + 46*s**5/5 - 32*s**4 + 48*s**3 - 16*s**2 - 32*s + 8. Factor k(w).
-2*(w - 2)**4*(3*w + 1)
Let p