 3*r = r - y + 11. Suppose 2*p + 13 = 3*o, o = -p + 4 - r. Solve -o*k + 5*k + k**2 - 3 + 4 = 0 for k.
-1
Suppose -9*i = -0*i - 108. Factor 8*w**4 - 1 + 15/2*w - 23/2*w**2 - i*w**3.
(w - 2)*(w + 1)*(4*w - 1)**2/2
Let o(j) be the first derivative of -j**3/3 - j**2/2 - 13. Factor o(d).
-d*(d + 1)
Let t(n) = -2*n**3 + 2*n**2 + 4*n. Let h be -3*8/(-12) - -1. Let u = 3 - 7. Let q(o) = -o**3 + o**2 + 3*o. Let y(m) = h*t(m) + u*q(m). Factor y(v).
-2*v**2*(v - 1)
Let k = 2 - -3. Let i(u) be the third derivative of 0*u**4 + 1/420*u**7 + 1/120*u**k + 0*u - 1/120*u**6 - u**2 + 0 + 0*u**3. Let i(b) = 0. What is b?
0, 1
Factor -4/3*p**2 + 0 - 16/3*p.
-4*p*(p + 4)/3
Let t(b) be the second derivative of b**4/6 + b**3 + 2*b**2 + 7*b. Factor t(v).
2*(v + 1)*(v + 2)
Let p = 2 + 2. Let x(l) = 17*l**4 - 16*l**3 + 2*l**2 - 3*l. Let r(t) = -9*t**4 + 8*t**3 - t**2 + 2*t. Let k(d) = p*x(d) + 7*r(d). Factor k(f).
f*(f - 1)**2*(5*f + 2)
Solve 0*v**2 + 2/7*v - 12/7*v**3 + 16/7*v**4 + 0 - 6/7*v**5 = 0.
-1/3, 0, 1
Let q be 7 + -5 + (-3)/2. Let d = -31 + 63/2. Find w, given that -q*w + 0 - d*w**3 + w**2 = 0.
0, 1
Let m(z) be the third derivative of z**5/300 + z**4/60 + z**3/30 - 12*z**2. Solve m(p) = 0.
-1
Let j(y) be the second derivative of y**4/12 - y**3/6 + 15*y. Factor j(z).
z*(z - 1)
Let a(l) be the second derivative of l**6/10 - l**4/4 + 7*l. Factor a(t).
3*t**2*(t - 1)*(t + 1)
Let u(p) = p**3 - 2*p**2 - 3*p + 3. Let j be 248/88 - 4/(-22). Let l be u(j). Find a such that 0*a + 0*a**2 + 0 - 2/7*a**l = 0.
0
Let p(v) be the first derivative of -2/5*v**5 + 0*v**4 - 4 + 0*v**2 + 0*v**3 + 0*v. Factor p(m).
-2*m**4
Let f be (1 + (-7)/(-2))*(-32)/(-48). Let u(x) be the second derivative of -1/50*x**5 + 1/75*x**6 + 0*x**f + 0*x**4 + 0 - 2*x + 0*x**2. Solve u(p) = 0.
0, 1
Let y(g) be the second derivative of -g**4/6 + 4*g**2 - g - 2. Factor y(x).
-2*(x - 2)*(x + 2)
Determine u so that 28/15*u - 98/15 - 2/15*u**2 = 0.
7
Let m(h) be the third derivative of h**8/15120 - h**7/3780 - h**6/270 - h**5/30 - 5*h**2. Let u(n) be the third derivative of m(n). Find o, given that u(o) = 0.
-1, 2
Let b(p) be the third derivative of 1/30*p**6 + 8/3*p**3 + 0*p + 0 - 1/5*p**5 - p**2 + 0*p**4. Let b(s) = 0. What is s?
-1, 2
Let k(m) be the third derivative of -m**5/90 + 4*m**3/9 - 36*m**2. Solve k(h) = 0.
-2, 2
Let d be (-12)/1*1*12/(-54). Suppose -d*h + 8/9 + 2/9*h**4 - 4/3*h**3 + 26/9*h**2 = 0. What is h?
1, 2
Let r(d) = 14*d**4 + 20*d**3 - 2*d**2. Let q(x) = 9*x**4 + 13*x**3 - x**2. Let t(f) = 8*q(f) - 5*r(f). Factor t(z).
2*z**2*(z + 1)**2
Let a be 1*1/18*(-93)/(-2480). Let y(r) be the third derivative of 1/96*r**4 - 1/120*r**5 - 3*r**2 + 0*r + 0 + a*r**6 + 0*r**3. Factor y(t).
t*(t - 1)**2/4
Suppose -2 = 4*i - 22. Suppose i*h = 7*h. Determine f so that h - 3/4*f**2 + 1/2*f + 1/4*f**3 = 0.
0, 1, 2
Let a(o) = 4*o**2 + 10*o - 10. Let y(m) = -m + 1. Let c(v) = a(v) + 10*y(v). Factor c(u).
4*u**2
Suppose -19*k + 5*o + 10 = -16*k, -k - 10 = 5*o. Let -2/7*f - 6/7*f**2 + 2/7*f**3 + k + 6/7*f**4 = 0. What is f?
-1, -1/3, 0, 1
Let f(y) be the first derivative of -y**5/5 - 3*y**4/8 + y**2/4 - 3. Factor f(d).
-d*(d + 1)**2*(2*d - 1)/2
Suppose 0 = 2*m + q + 7, -3*m + 2*q = q + 13. Let u(z) = 3*z**2 + 10*z. Let p(i) = -21*i**2 - 69*i. Let d(t) = m*p(t) - 27*u(t). Solve d(g) = 0.
-2, 0
Let t(r) = -r**4 - 5*r**2 + r + 2 + 0 + 3*r**3 + 0*r. Let s(m) = -m**4 + 3*m**3 - 6*m**2 + m + 3. Let q(p) = -2*s(p) + 3*t(p). Let q(c) = 0. Calculate c.
0, 1
Let r(j) be the second derivative of -j**4/4 - 9*j**3 - 243*j**2/2 - 29*j. What is h in r(h) = 0?
-9
Let x(c) be the first derivative of c**5/10 + c**4/8 - c**3/6 - c**2/4 + 8. Let x(y) = 0. Calculate y.
-1, 0, 1
Let p be (-5 + 9)*2*1. Suppose p*h = 7*h. Let -2/9*j**3 - 4/9*j**2 + h - 2/9*j = 0. Calculate j.
-1, 0
Let j(z) be the second derivative of z**5/160 + 5*z**4/96 + z**3/16 - 9*z**2/16 + 6*z. Factor j(y).
(y - 1)*(y + 3)**2/8
Let j(d) = -d. Let x(r) = 2*r**2 - 4*r. Let i = -5 - -10. Let y = -4 + i. Let k(n) = y*x(n) - 6*j(n). Let k(f) = 0. What is f?
-1, 0
Let f = 21 - 18. Factor -2*o**2 + 6 - f - o**2.
-3*(o - 1)*(o + 1)
Solve 1/5*g**3 + 0 + 0*g**2 + 2/5*g**5 + 3/5*g**4 + 0*g = 0 for g.
-1, -1/2, 0
Let x(i) = -i**3 + 10*i**2 + 11*i + 5. Let z be x(11). Suppose 0 = z*w - 11 - 4. Let -b + b**2 + 1/3 - 1/3*b**w = 0. Calculate b.
1
Determine k so that 2/13*k**4 + 0*k - 4/13*k**3 + 0*k**2 + 0 = 0.
0, 2
Let c = 185 - 1293/7. Factor 2/7*z**4 + c*z**3 - 2/7*z**5 + 0*z + 0 - 2/7*z**2.
-2*z**2*(z - 1)**2*(z + 1)/7
Suppose 1/11*l**3 + 7/11*l**2 + l + 5/11 = 0. What is l?
-5, -1
Factor 15 + 315*a**5 - 320*a**5 - 260*a**2 - 235*a**3 + 240*a + 305 - 60*a**4.
-5*(a - 1)*(a + 1)*(a + 4)**3
Let l(s) be the second derivative of 3*s + 1/56*s**7 - 1/8*s**3 + 1/8*s**4 - 1/20*s**6 + 0*s**5 + 0*s**2 + 0. Factor l(a).
3*a*(a - 1)**3*(a + 1)/4
Let 6*t**4 + 4*t**4 - 8*t**5 + t**5 + 2*t**5 + 5*t**3 - 10*t**2 = 0. Calculate t.
-1, 0, 1, 2
Let r = 142 - 142. Suppose 0*p + 0*p**3 + 1/3*p**2 - 1/3*p**4 + r = 0. What is p?
-1, 0, 1
Let l = 2/53 - -43/265. Let w(t) be the first derivative of l*t**5 - 2 - 1/2*t**2 + t - 1/6*t**6 - 2/3*t**3 + 1/2*t**4. Factor w(d).
-(d - 1)**3*(d + 1)**2
Let u(i) = 33*i**2 + 49*i + 9. Let p(w) = -17*w**2 - 25*w - 5. Let b(d) = 7*p(d) + 3*u(d). Factor b(r).
-4*(r + 1)*(5*r + 2)
Solve 0*v + 2/9*v**5 + 0*v**2 + 0 - 2/9*v**3 + 0*v**4 = 0.
-1, 0, 1
Let d(b) = -5*b**2 - 5*b + 4. Let p(a) = -a**2 - a + 1. Suppose -6 = -3*x, -2*x + 5 = -2*n + 3. Let t(f) = n*d(f) - 4*p(f). Find o such that t(o) = 0.
-1, 0
Let p be (-12)/21 + 195/35. Factor 37*r**4 + 18*r**p + 24*r**3 - 5*r**2 + 2*r**4 + 8*r**2.
3*r**2*(r + 1)**2*(6*r + 1)
Let h(t) be the second derivative of 19*t**4/42 + t**3 + 2*t**2/7 + 52*t. Factor h(a).
2*(a + 1)*(19*a + 2)/7
Suppose -23*u**5 + 11*u**3 - 20*u**4 - 15*u**4 - 25*u**2 - 56*u**3 + 13*u**5 - 5*u = 0. Calculate u.
-1, -1/2, 0
Find d, given that -2/3*d**4 - 2/3 - 4/3*d**3 + 2/3*d + 4/3*d**2 + 2/3*d**5 = 0.
-1, 1
Let t(n) be the first derivative of 7*n**3 - 153*n**2/2 + 42*n + 6. Factor t(v).
3*(v - 7)*(7*v - 2)
Let g(x) = -2*x**2 - 5*x. Let a(f) = 10*f**2 + 24*f. Let i(m) = -6*a(m) - 28*g(m). Let i(b) = 0. Calculate b.
-1, 0
Let v be 0/((18 - 15)/((-1)/1)). Factor -1/5*l + 1/5*l**3 + v*l**2 + 0.
l*(l - 1)*(l + 1)/5
Suppose 2*j + 3*h - 6*h = 17, -3*j + 2*h = -18. What is x in 4/9*x**3 - 2/9 + 14/9*x - 2*x**5 + 10/3*x**j - 28/9*x**2 = 0?
-1, 1/3, 1
Let n(d) be the third derivative of -13/180*d**5 - 1/630*d**7 - 1/60*d**6 + 0 - 1/6*d**4 - 3*d**2 - 2/9*d**3 + 0*d. Determine p so that n(p) = 0.
-2, -1
Let o = 25/3 + -8. Let h(r) be the second derivative of -r - o*r**2 + 0*r**3 - 1/45*r**6 + 0 + 0*r**5 + 1/9*r**4. Factor h(c).
-2*(c - 1)**2*(c + 1)**2/3
Suppose 2*v - 3*g = -2*v + 35, -20 = -3*v + g. Suppose h - v*h + 12 = 0. Factor 0*j**2 + 5*j**2 - 1 + j - h*j**2.
(j + 1)*(2*j - 1)
Let i be 19*(0 + (-81)/15). Let l = i + 103. What is t in 6/5*t - 6/5*t**2 + l*t**3 - 2/5 = 0?
1
Let k(g) be the second derivative of g**7/12 - g**6/30 - 7*g**5/20 + g**4/6 + 7*g**3/12 - g**2/2 - 3*g. Let k(z) = 0. Calculate z.
-1, 2/7, 1
Let g(o) be the first derivative of -o**5/10 + o**4/2 - o**3 + o**2 + 3*o + 1. Let q(w) be the first derivative of g(w). Solve q(u) = 0 for u.
1
Let 2/3*n**2 - 2/9*n - 2/9*n**4 + 2/9*n**3 - 4/9 = 0. Calculate n.
-1, 1, 2
Let n be (-7)/(-5) + (-2)/5. Suppose -4*k + 8 = 3*w + n, -w - 2*k = -1. Factor f**5 + w*f**4 - 4 + 7*f**3 - 8*f - 4*f**2 + 4 - f**3.
f*(f - 1)*(f + 2)**3
Let f be (-21)/(-12) + (-3)/(-12). Suppose -f*i = i - 9. Determine h so that -4/3*h**2 + 4/3*h**4 + 2/3*h**5 - 2/3*h + 0*h**i + 0 = 0.
-1, 0, 1
Let k be (-717)/(-6) - (-2)/4. Let j be k/28 + 2/(-7). Find f such that 2*f**3 - f**3 - 3*f**4 + 4*f**j = 0.
-1, 0
Let v(z) be the second derivative of -z**5/18 - 2*z**4/9 - z**3/3 - 2*z**2/9 + 52*z. Solve v(c) = 0.
-1, -2/5
Let u(x) = 3*x**5 + 5*x**3 - 11*x**2 + 3*x - 11. Let p(l) = l**5 + 2*l**3 - 4*l**2 + l - 4. Let w(r) = -11*p(r) + 4*u(r). Factor w(m).
m*(m - 1)**2*(m + 1)**2
Suppose -18 = 5*t + t. Let k(r) = 14*r**4 - 19*r**3 - 8*r**2 + 2*r. Let q(c) = 15*c**4 - 18*c**3 - 9*c**2 + 3*c. Let g(u) = t*k(u) + 2*q(u). Factor g(x).
-3*x**2*(x - 2)*(4*x + 1)
Let v(m) be the first derivative of m**7/3360 + m**6/1440 - 2*m**3/3 - 1. Let