 p(o).
-3*(o - 1)**2*(o + 1)/5
Let c(t) be the first derivative of 4/3*t**3 - 2 - t + 0*t**2. Factor c(w).
(2*w - 1)*(2*w + 1)
Suppose 3*g = -4*u - u - 9, 4*u + 2*g + 6 = 0. Suppose -2*l + 7*l = 15. Factor -2/9*c**2 + 2/3*c**l + 0*c + u + 2/9*c**5 - 2/3*c**4.
2*c**2*(c - 1)**3/9
Let r(k) = -k**3 - 4*k**2 + 2*k - 2. Let z(w) = -w**2 + w - 1. Let x(u) = 3*r(u) - 6*z(u). Determine j, given that x(j) = 0.
-2, 0
Let v(s) be the first derivative of -1/33*s**6 - 1 - 4/55*s**5 + 0*s**2 + 0*s**3 + 0*s**4 + 0*s. Determine k, given that v(k) = 0.
-2, 0
Let j(u) be the second derivative of -u**5/15 + u**4/2 - 4*u**3/3 + 5*u**2 + 2*u. Let p(h) be the first derivative of j(h). Determine i, given that p(i) = 0.
1, 2
Let o(q) be the third derivative of -2*q**2 + 0*q**3 + 1/120*q**6 + 0*q - 1/60*q**5 - 1/24*q**4 + 1/210*q**7 + 0. Solve o(w) = 0.
-1, 0, 1
Let y = -828 + 1659/2. Factor -3/2*d**3 + 1 - d**2 + y*d.
-(d - 1)*(d + 1)*(3*d + 2)/2
Let l = -8/23 - -70/69. Let u = l + -1/6. Suppose -u + 5/4*k - 3/4*k**2 = 0. What is k?
2/3, 1
Find m, given that -3*m**3 - 6*m + 13/2*m**2 + 2 + 1/2*m**4 = 0.
1, 2
Let g(z) = -7*z**3 - 2*z**2 - 11*z - 7. Suppose 0 = 3*r - r - 2. Let u = -3 - r. Let v(p) = 3*p**3 + p**2 + 5*p + 3. Let y(b) = u*g(b) - 9*v(b). Factor y(o).
(o - 1)**2*(o + 1)
Let g be (-2)/(2 - 26/12). Let i = g - 9. Determine r, given that 0 + 2/5*r**i - 2/5*r**2 + 2/5*r**4 - 2/5*r = 0.
-1, 0, 1
Let z(y) be the first derivative of 7*y**4/6 - 2*y**3 + 2*y**2/3 - 10. Let z(a) = 0. Calculate a.
0, 2/7, 1
Let f be -3*((-20)/18 + 2). Let y = -13/6 - f. Factor -y*d - 1/2 + d**2.
(d - 1)*(2*d + 1)/2
Factor 0 + 0*a - 4/9*a**2.
-4*a**2/9
Solve 0 - 3/2*w**3 + 1/2*w**4 - 5/2*w - 9/2*w**2 = 0.
-1, 0, 5
Let v(x) be the first derivative of x**7/105 + x**6/20 + x**5/10 + x**4/12 - x**2/2 - 1. Let k(m) be the second derivative of v(m). Let k(t) = 0. What is t?
-1, 0
Let i be 45/21 + -16 + 19. Factor -16/7 - 32/7*v + 12/7*v**2 + i*v**3.
4*(v - 1)*(3*v + 2)**2/7
Suppose -4*l + 10 = -6. Suppose 0*u - 8 = -l*u. Determine i, given that -4/5*i + 0 - 2/5*i**u = 0.
-2, 0
Let q(r) be the third derivative of r**5/510 - 4*r**3/51 - 9*r**2. Solve q(g) = 0 for g.
-2, 2
Let l(o) be the third derivative of 0*o + 3/5*o**5 + 7/40*o**6 + 0 - 4*o**2 + 3/8*o**4 - o**3. Factor l(s).
3*(s + 1)**2*(7*s - 2)
Let v be ((-5)/(-15))/((-2)/(-210)). Let p = 38 - v. Solve -2/9*k**2 + 0 - 2/9*k**p + 4/9*k = 0 for k.
-2, 0, 1
Let b(y) be the third derivative of -y**7/840 - y**6/160 + y**5/240 + y**4/32 + 2*y**2. Factor b(j).
-j*(j - 1)*(j + 1)*(j + 3)/4
Let p = 1927/11 + -175. What is b in 2/11 - 2/11*b + 2/11*b**3 - p*b**2 = 0?
-1, 1
Let l(q) be the first derivative of -3*q**4/32 - 3*q**3/8 - 3*q**2/8 - 5. Factor l(c).
-3*c*(c + 1)*(c + 2)/8
Suppose -4*o - 2 = -10. Factor -o*s**3 - 6*s**2 + 2*s + s**3 + 7*s**2 + 0*s.
-s*(s - 2)*(s + 1)
Let v(a) = -a**3 + 9*a**2 - 10*a + 1. Let q be v(7). Let k = q - 85/3. Determine y so that -4/3 + 2/3*y + k*y**2 = 0.
-2, 1
Let f(n) be the third derivative of 0*n**3 - 1/900*n**6 + 0*n**5 - 3*n**2 + 0*n**4 - 1/525*n**7 + 0*n - 1/1260*n**8 + 0. Solve f(b) = 0 for b.
-1, -1/2, 0
Determine l, given that -3*l + 5*l**2 + 10 - 5*l - 7*l = 0.
1, 2
Let f(t) be the third derivative of -8*t**2 + 44/15*t**5 + 4/3*t**4 + 0*t**3 + 3/5*t**6 - 34/15*t**7 + 7/12*t**8 + 0 + 0*t. Suppose f(o) = 0. What is o?
-2/7, 0, 1, 2
Let r be 0/(3/(-12)*-4). Let c be (-13 - -12)*r/(-2). Determine k, given that 0*k + k**2 + 1/4*k**4 + c - k**3 = 0.
0, 2
Suppose -5*u = s - 0*u, 2*u = 5*s - 27. Determine o so that -o**5 - 10*o**3 + 9*o**2 + o**2 - s*o - 3*o**4 + 1 + 8*o**4 = 0.
1
Let p be (-16)/(-35) - 6/15. Let d(o) be the first derivative of 2 - 1/14*o**4 + 0*o - p*o**5 + 1/21*o**6 + 2/21*o**3 + 0*o**2. Factor d(r).
2*r**2*(r - 1)**2*(r + 1)/7
Let g = 17 - 9. Solve 5*v**2 + 3 + 2 - 1 + g*v - v**2 = 0 for v.
-1
Let s(l) be the first derivative of -l**5/9 - 3*l**4/4 - 10*l**3/9 - 4*l**2/9 - 13. Factor s(f).
-f*(f + 1)*(f + 4)*(5*f + 2)/9
Let t(j) = 11*j**2 - 18*j + 5. Let q(o) = -6*o**2 + 9*o - 3. Let z(k) = 5*q(k) + 3*t(k). Find s such that z(s) = 0.
0, 3
Factor -21*s**2 - s + 20*s**2 - 3*s + 2*s.
-s*(s + 2)
Let b = 2113 + -369774/175. Let a(z) be the third derivative of 0*z**4 - b*z**7 - 3*z**2 - 1/840*z**8 + 0*z**3 + 0*z + 0 - 1/100*z**6 - 1/150*z**5. Factor a(m).
-2*m**2*(m + 1)**3/5
Let b(t) be the first derivative of 0*t**3 + 3/5*t**5 - 2 + 0*t**2 + 3/4*t**4 + 0*t. Factor b(g).
3*g**3*(g + 1)
Let s(u) = 5*u**2 - 5*u - 7. Let g(b) = -2*b**2 + 2*b + 3. Let v(x) = -7*g(x) - 3*s(x). What is t in v(t) = 0?
0, 1
Let l(y) = y**3 + 6*y**2 - 6*y + 10. Let o be l(-7). Let f(u) be the first derivative of -1/2*u - 2 + 1/4*u**2 - 1/8*u**4 + 1/6*u**o. Factor f(w).
-(w - 1)**2*(w + 1)/2
Let r(h) be the first derivative of -h**9/6048 - h**8/3360 + h**7/1680 + h**6/720 - 5*h**3/3 + 4. Let t(f) be the third derivative of r(f). Factor t(w).
-w**2*(w - 1)*(w + 1)**2/2
Find a, given that 3*a**2 - 3*a**4 + 0*a + 0*a - 3*a + 3*a**3 = 0.
-1, 0, 1
Let x(m) = -m**3 + 9*m**2 - 9*m + 9. Let q be x(8). Factor 6 - 12*p + 3*p + q + 3*p**2 - 1.
3*(p - 2)*(p - 1)
Let u = 0 + 0. Let h be (1 - u)*6/2. Determine p so that h*p**2 - 7*p**2 + 3*p**2 = 0.
0
Let f = 9 + -9. Let r = f - -3. Suppose 2/5*u + 0*u**2 + 0 - 2/5*u**r = 0. What is u?
-1, 0, 1
Let c(n) be the third derivative of -n**8/112 - n**7/35 + n**6/40 + n**5/10 + 16*n**2. Suppose c(h) = 0. What is h?
-2, -1, 0, 1
Solve -1/4 + 1/8*o**2 - 1/8*o = 0 for o.
-1, 2
Let b be (-15)/(-12)*(0 - -4). Let a(l) be the third derivative of 3*l**2 + 0 + 0*l**4 + 1/240*l**6 - 1/240*l**b + 0*l - 1/840*l**7 + 0*l**3. Factor a(w).
-w**2*(w - 1)**2/4
Let y(p) be the second derivative of 1/4*p**4 + 3/2*p**2 + p**3 - 4*p + 0. Factor y(o).
3*(o + 1)**2
Let b(g) be the second derivative of g**7/126 + g**6/90 - g**5/60 - g**4/36 + 44*g. Factor b(a).
a**2*(a - 1)*(a + 1)**2/3
Let s(x) be the first derivative of -x**6/2 + 6*x**5/5 - 2*x**3 + 3*x**2/2 - 3. Solve s(r) = 0 for r.
-1, 0, 1
Let z(q) = -7*q - 2. Let n be z(-2). Suppose n = -4*d + 3*p, 2*d + 5*p - 8 = 3*p. Factor 6/5*c**3 + 6/5*c**2 + d + 2/5*c + 2/5*c**4.
2*c*(c + 1)**3/5
Suppose -48/7*s**3 - 24/7*s**2 + 3*s - 3/7 = 0. What is s?
-1, 1/4
Factor -2/15*p**2 - 2/15 + 4/15*p.
-2*(p - 1)**2/15
Let m(z) = -4*z**3 - 12*z**2 - 36*z - 20. Let h(r) = r**2 + r + 1. Let w(b) = -24*h(b) - m(b). Factor w(q).
4*(q - 1)**3
Let v(w) be the third derivative of -1/24*w**6 + 1/60*w**5 - 4*w**2 + 0*w**3 + 1/30*w**7 + 0*w**4 + 0 + 0*w - 1/112*w**8. Factor v(p).
-p**2*(p - 1)**2*(3*p - 1)
Let p(j) = j**3 - j. Let t = -3 - -1. Let s(b) = 3*b**2 - 8*b**2 + 6 + 6*b + 3*b**3 - 10. Let a(x) = t*p(x) + s(x). Solve a(m) = 0.
1, 2
Let i(u) be the second derivative of u**5/30 + u**4/2 + 3*u**3 + 9*u**2 - 4*u. Factor i(f).
2*(f + 3)**3/3
Let d be 16/(-14) - -1 - 1/(-7). Let l(b) be the second derivative of 0*b**4 - 1/10*b**5 - 3*b + d*b**2 + 1/3*b**3 + 0. Find z such that l(z) = 0.
-1, 0, 1
Let v(m) = 12*m**3 - 132*m**2 + 441*m - 279. Let i(a) = -3*a**3 + 33*a**2 - 110*a + 70. Let y(s) = -21*i(s) - 5*v(s). Let y(h) = 0. What is h?
1, 5
Let a(d) be the third derivative of -d**10/75600 - d**9/15120 - d**5/30 - 2*d**2. Let t(p) be the third derivative of a(p). Let t(q) = 0. What is q?
-2, 0
Let j(l) be the second derivative of 1/12*l**4 + 0*l**3 - 1/2*l**2 + 0 - 3*l. Let j(q) = 0. Calculate q.
-1, 1
Let t be (12/9)/(40/90). Find k such that 2/3*k**2 - 1/3*k**t + 1/3*k - 2/3 = 0.
-1, 1, 2
Suppose -5*p**4 + 1 + 0 + 6*p**4 - 2*p**2 = 0. Calculate p.
-1, 1
Let v(h) = -h - 7. Let l(p) = -p - 4. Let b(x) = 5*l(x) - 3*v(x). Let q be b(-1). Factor 2*y - 2 - 2*y**5 + q*y**5 - 2*y**4 - 4*y**3 + 4*y**2 + y**5.
2*(y - 1)**3*(y + 1)**2
Let w(c) be the second derivative of -c**8/50400 - c**7/4725 - c**6/1080 - c**5/450 - 5*c**4/12 + 8*c. Let u(x) be the third derivative of w(x). Factor u(b).
-2*(b + 1)**2*(b + 2)/15
Let y(f) = -4*f - 5. Let c be y(-2). Suppose -c*b - b = -20. Let 0 + 26/5*h**4 - 8/5*h**2 + 2*h**b + 8/5*h**3 + 0*h = 0. What is h?
-2, -1, 0, 2/5
Factor 2/13*s**4 + 0 + 4/13*s**3 + 0*s**2 + 0*s.
2*s**3*(s + 2)/13
Let g(p) be the second derivative of 5*p**4/36 - 5*p**3/18 - 16*p. Find v such that g(v) = 0.
0, 1
Let p(t) = t - 1. Let a(q) = 6*q**3 + 3*q**2 + 2*q - 5. Let l(k)