- 2*r + r + t*r**2 - 3*r.
-2*r*(r - 2)*(r - 1)
Let z be (-2)/6 - (-21)/9. Solve 2*o + 4*o**3 - 1 - 3*o**z - 4*o**3 - 4*o**3 + 4*o**4 + 2*o = 0.
-1, 1/2, 1
Suppose -4*q = -i - 2*q + 12, q = -3*i + 15. Factor 4*h + 3*h + 4*h**2 - 2*h**5 + 2 - h - 4*h**3 - i*h**4.
-2*(h - 1)*(h + 1)**4
Let o = 2 + -5. Let c be o/2*(-12)/9. Factor 3*m**2 + 0*m**2 - 2*m**c.
m**2
Let u = 2 + -2. Let m = u + 2. Factor 2*a**2 - 4*a**2 - a**m + 2*a**2 + 2*a.
-a*(a - 2)
Factor -3/4 - 1/4*w**2 + w.
-(w - 3)*(w - 1)/4
Let z(u) = u**2 + 2*u. Let p be z(-1). Let i(h) = 5*h**2 + 8*h - 7. Let g(m) = m**2 + m - 1. Let a(l) = p*i(l) + 6*g(l). Solve a(b) = 0 for b.
1
Let d be (-6)/(1 - 3 - 0). Let n(g) = -g**3 - 8*g**2 + 2*g + 18. Let y be n(-8). Find m, given that -2/3*m**d - 4/3 + y*m + 0*m**2 = 0.
-2, 1
Factor 4/3*j**3 + 8/3*j + 0 - 4*j**2.
4*j*(j - 2)*(j - 1)/3
Let m(o) be the first derivative of -o**5/30 + o**4/9 + o**3/9 - 2*o**2/3 + o - 2. Let c(k) be the first derivative of m(k). Factor c(a).
-2*(a - 2)*(a - 1)*(a + 1)/3
Let i be 24/10*(-40)/(-84). Suppose -2/7*j**3 - 8/7*j + 0 - i*j**2 = 0. Calculate j.
-2, 0
Let y = 106 - 101. Let j(f) be the third derivative of 1/40*f**6 + 0*f - 1/20*f**y - f**2 + 1/24*f**4 + 0 + 0*f**3 - 1/210*f**7. What is q in j(q) = 0?
0, 1
Factor 1/5*l**2 - 2/5 + 3/5*l + 1/5*l**4 - 3/5*l**3.
(l - 2)*(l - 1)**2*(l + 1)/5
Let z(i) = -i**3 - 15*i**2 - 5. Let n be z(-15). Let t = -3 - n. Determine w so that 2/7*w**3 + 2/7 - 2/7*w**t - 2/7*w = 0.
-1, 1
Let u = -2 + 4. Suppose -3*p = -2*d - 12, -3*d - 5*p - 2 = -22. Factor -2*j - j**u + d*j + 4*j.
-j*(j - 2)
Let o = -1 - -4. Suppose o*q = -q. Determine z so that q*z + 2/3*z**3 - z**4 + 0*z**2 + 0 = 0.
0, 2/3
Suppose -5*t = 10, -5*c = -4*t - 33 + 10. Find i, given that -1/4*i**5 + 0 + 0*i + 0*i**2 + 1/2*i**c + 1/4*i**4 = 0.
-1, 0, 2
Let b(x) be the second derivative of -x**5/5 - 2*x**4/3 - 2*x**3/3 - 3*x. What is g in b(g) = 0?
-1, 0
Let q(a) be the second derivative of 0*a**5 + 0*a**2 - 1/9*a**3 - 1/9*a**4 - a + 1/63*a**7 + 2/45*a**6 + 0. Factor q(w).
2*w*(w - 1)*(w + 1)**3/3
Let h be 4*(6 + -3)/3. Let s(g) = -3 + 2*g**4 + g**h + g**3 - g**2 - 4*g**4. Let c(t) = t**2 + 1. Let z(n) = 3*c(n) + s(n). Factor z(l).
-l**2*(l - 2)*(l + 1)
Factor -2/7*f**3 - 4/7*f**2 + 4/7 + 2/7*f.
-2*(f - 1)*(f + 1)*(f + 2)/7
Solve 1/2*r**2 + 0 - 1/2*r = 0 for r.
0, 1
Determine j so that -2*j - 2*j**5 + 2*j - 6*j**3 + 51*j**4 - 2*j**2 - 57*j**4 = 0.
-1, 0
Let i = 676/3 + -225. Find u, given that 1/3*u + 2/3*u**2 - 2/3*u**4 + 0*u**3 + 0 - i*u**5 = 0.
-1, 0, 1
Let q be 6*((-14)/(-4) + -3). Let y(i) be the third derivative of 11/36*i**4 + 0*i + 0 - 8/45*i**5 + 7/180*i**6 + 3*i**2 - 2/9*i**q. Solve y(u) = 0 for u.
2/7, 1
Let l(k) be the third derivative of -k**6/30 - 7*k**5/30 - 7*k**4/12 - 2*k**3/3 - 6*k**2. Solve l(c) = 0.
-2, -1, -1/2
Let j = 9 - 6. Let d be (-3)/(j*(-2)/4). Factor -6*n**4 - 2*n**2 - 9*n**4 + 17*n**4 - 2*n + d*n**3.
2*n*(n - 1)*(n + 1)**2
Let b(s) be the second derivative of s**6/180 + s**5/30 + s**4/18 - s**2/2 + 2*s. Let g(m) be the first derivative of b(m). Solve g(p) = 0 for p.
-2, -1, 0
Factor -84*l + 243 + 30*l + 34*l**2 - 31*l**2.
3*(l - 9)**2
Suppose -5*p + 4*b + 76 = b, 2*b - 66 = -5*p. Suppose 3*h - z = 4*h + 2, -3*h = -2*z - p. Factor f**2 + h*f**2 + f**4 + 0*f**4 - 4*f**2.
f**2*(f - 1)*(f + 1)
Let q(l) = l**2 + 6*l - 3. Let o be q(-7). Suppose 5*j = o*z - 46 + 1, 2*j - 28 = -3*z. What is d in 10 - 4*d**2 + 2*d**3 + 2*d - z = 0?
0, 1
Let s(p) be the first derivative of -p**3/12 - 5*p**2/8 + 3*p/2 + 27. Factor s(j).
-(j - 1)*(j + 6)/4
Let t = 593/2 + -285. Let a = 12 - t. Factor a + 1/2*s**2 - s.
(s - 1)**2/2
Let j be (-2)/(-8) - (-44)/(-32)*-2. Let f(u) be the first derivative of 2/5*u**j - 2/5*u - 2 - 2/5*u**2. Factor f(y).
2*(y - 1)*(3*y + 1)/5
Suppose 3*x + o - 3*o = 31, x + 13 = -4*o. Let d(j) be the third derivative of 0*j**5 + j**2 - 1/300*j**6 + 0*j**3 - 1/525*j**x + 0*j + 0 + 0*j**4. Factor d(r).
-2*r**3*(r + 1)/5
Determine i so that 0*i**2 + 0 + 2/9*i - 2/9*i**3 = 0.
-1, 0, 1
Let u(l) = l + 1. Let y be u(-1). Suppose -2/5*s**2 + y + 1/5*s + 1/5*s**3 = 0. Calculate s.
0, 1
Let p = -31428 - -158036/5. Let v = p + -178. Find z, given that -2/5*z**3 - 2/5 - 6/5*z**2 - v*z = 0.
-1
Let t be (40/6)/((-4)/(-12)). Suppose -4 = -4*m + t. Factor p**2 + 4*p - 5*p**2 + m*p**2 + 8*p**2.
2*p*(5*p + 2)
Let u = -3 - 0. Let i = u - -7. Factor -2*p**3 + 0*p**5 + 7*p**4 - 3*p**i - 3*p**5 + p**5.
-2*p**3*(p - 1)**2
Let v(n) = n**4 - 5*n**3 + n**2 - 3. Let l(p) be the first derivative of 2*p**5/5 - 9*p**4/4 + 2*p**3/3 - 5*p + 8. Let u(r) = -3*l(r) + 5*v(r). Factor u(i).
-i**2*(i - 1)**2
Let z(g) = g**5 - g**4 + g**2 - g. Let j(s) = 9*s**5 - s**4 + 5*s**2 - 5*s. Let w(k) = j(k) - 5*z(k). Factor w(c).
4*c**4*(c + 1)
Determine b so that 12*b - 8/5 + 49/5*b**3 - 126/5*b**2 = 0.
2/7, 2
Let t(a) be the first derivative of -a**8/840 + a**7/210 - a**5/30 + a**4/12 + a**3 - 1. Let n(i) be the third derivative of t(i). Factor n(l).
-2*(l - 1)**3*(l + 1)
Let o = -133 - -1997/15. Let i(j) be the second derivative of -o*j**6 + 0*j**5 - 2*j + 1/3*j**3 - 1/21*j**7 + 0*j**2 + 1/3*j**4 + 0. Factor i(f).
-2*f*(f - 1)*(f + 1)**3
Let g(h) = -h**2 - 3*h. Let j = 4 + -7. Let t be g(j). Factor -1/2*w**5 + 0*w + t + 0*w**2 - 1/2*w**3 + w**4.
-w**3*(w - 1)**2/2
Let q(m) be the third derivative of m**7/168 - 7*m**6/360 + m**5/60 + m**3/2 + 3*m**2. Let d(p) be the first derivative of q(p). Find f such that d(f) = 0.
0, 2/5, 1
Factor 1/2*q**2 + 0*q + 1/2*q**4 + q**3 + 0.
q**2*(q + 1)**2/2
Let j = -5 + 7. Let r be j/(-4)*(-24)/6. Factor -3*g**3 + r*g**2 + 7*g**2 - 6*g**2.
-3*g**2*(g - 1)
Let u = 3650/6461 + 6/923. Suppose -4/7 - 6/7*c + 10/7*c**3 - 6/7*c**4 - u*c**5 + 10/7*c**2 = 0. Calculate c.
-2, -1, -1/2, 1
Let r(u) be the first derivative of u**4/14 + 10*u**3/21 + 4*u**2/7 + 25. What is x in r(x) = 0?
-4, -1, 0
Let 13*t + 2*t**2 + 6 - 5*t + 0 = 0. Calculate t.
-3, -1
Let u(y) be the first derivative of -8*y**5/35 + 15*y**4/14 - 25*y**2/7 - 12*y/7 - 46. Find b, given that u(b) = 0.
-1, -1/4, 2, 3
Solve 0*w + 0 - 1/5*w**2 + 1/5*w**3 = 0.
0, 1
Let o = 424621/180 + -2359. Let z(s) be the third derivative of 1/72*s**4 + 0*s**3 + s**2 + 0*s + 0 - o*s**5. Solve z(l) = 0.
0, 1
Let v be 1 + (-6 - -5) - (-2)/4. Solve 9/2*q**5 - 1/2 - 5*q**3 + v*q + 5*q**2 - 9/2*q**4 = 0.
-1, -1/3, 1/3, 1
Let w(k) be the first derivative of -k**4/2 - 2*k**3/3 + 2*k**2 + 8. Factor w(v).
-2*v*(v - 1)*(v + 2)
Suppose 3 + 1 = 2*j. Factor 10/7*z**3 - 2/7*z**4 - 12/7*z**j - 8/7*z + 16/7.
-2*(z - 2)**3*(z + 1)/7
Let m(a) = a**4 - a + 1. Let c(o) = -6*o**4 - 2*o**3 + 6*o**2 + 4*o - 4. Let u(h) = c(h) + 2*m(h). Find j such that u(j) = 0.
-1, 1/2, 1
Let n(j) = 8*j**2 - 12*j - 32. Let v(q) = q**3 + 8*q**2 - 13*q - 32. Let u(b) = 3*n(b) - 4*v(b). Let u(o) = 0. What is o?
-2, 2
Let s = 19 - 15. Let r(i) be the third derivative of -1/27*i**3 + 0*i + 1/270*i**5 + 0 + 2*i**2 + 0*i**s. Factor r(v).
2*(v - 1)*(v + 1)/9
Suppose 5*a + 6 - 18 = -3*v, -16 = 2*a - 4*v. Let d(j) be the third derivative of j**2 + 1/18*j**3 + 7/180*j**5 + 5/72*j**4 + a + 0*j + 1/120*j**6. Factor d(f).
(f + 1)**2*(3*f + 1)/3
Let x(j) = 8 + 7*j - j**3 + 22*j**3 - 39*j - 23*j**2. Let k(g) = 42*g**3 - 47*g**2 - 65*g + 17. Let f(l) = -4*k(l) + 7*x(l). Factor f(i).
-3*(i - 2)*(i + 1)*(7*i - 2)
Suppose -3*t + 174 = -2*x, -116 = -2*t - x - 0*x. Factor -t*b**5 + b**4 - b**2 + b**2 + 59*b**5 - 2*b**3.
b**3*(b - 1)*(b + 2)
Let k(p) be the first derivative of -p**3/12 - p**2/2 - p + 3. Let k(u) = 0. What is u?
-2
Suppose -2*u + 3*l = 16, -u + 0*l - 3 = l. Let j(g) = -g**3 - 6*g**2 - 6*g - 1. Let y be j(u). Factor 3/2*n**2 - 3/2*n**y + n**3 - n + 0.
-n*(n - 1)*(n + 1)*(3*n - 2)/2
Let d = -7914 - -158229/20. Let k = 14/5 + d. Factor k*l - 1/4 + 1/4*l**2 - 1/4*l**3.
-(l - 1)**2*(l + 1)/4
Let l(j) be the first derivative of -j**3/3 + 2*j**2 - 4. Let l(a) = 0. Calculate a.
0, 4
Let q = 11 + -4. Let u = q + -5. Factor -d**3 - d - 3*d**u + 2*d**3 + 3*d + 0*d**2.
d*(d - 2)*(d - 1)
Let i(f) = -4*f**2 + f - 2. Let u(b) = 3*b**2 - b + 2. Let d(t) = 4*i(t) + 5*u(t). Factor d(p).
-(p - 1)*(p + 2)
Let h(s) = -s**2 + 4*s + 4. Let y be h(6). Let o(c) = c + 10. Let q be o(y). Find n, given that 0 + 0*n + 2/3*n**q = 0.
0
Factor -