x - 5 + 2*x**2. Factor p(d).
2*(d + 1)**2
Let y = -1331/5 + 267. Let y*n**2 + 0 + 2/5*n + 2/5*n**3 = 0. What is n?
-1, 0
Suppose 0 = -l + 11 - 3. Let y(h) = 5*h**2 - h - 7. Let o(m) = 14*m**2 - 2*m - 20. Let g(t) = l*y(t) - 3*o(t). Factor g(c).
-2*(c - 1)*(c + 2)
Factor 0 + 0*i**3 + 3/7*i**4 + 0*i - 3/7*i**2.
3*i**2*(i - 1)*(i + 1)/7
Factor 22*f - 15*f + 5*f**2 - 12*f.
5*f*(f - 1)
Suppose 0 = 3*w - 2*w. Let v(d) be the third derivative of -1/210*d**7 + 0*d - 1/120*d**6 + 1/60*d**5 + 1/336*d**8 - d**2 + 0*d**3 + 0 + w*d**4. Factor v(j).
j**2*(j - 1)**2*(j + 1)
Let u = 9 - 8. Factor -2 - 6*c + 4 + c**2 + u + 2*c**2.
3*(c - 1)**2
Let q(l) = 2*l**2 + 2*l - 1. Let u be q(1). Let i be u/(-12) + (-26)/(-8). Factor -6*f**i - 2*f - 4 - 13*f**2 + 0*f - f**4 - 10*f.
-(f + 1)**2*(f + 2)**2
Suppose 4*j - 3*b = 48, 5*j + 5*b - 60 = -0*j. Factor -2*h**2 + 2 + j*h**3 + h - 11*h**3 - 2*h.
(h - 2)*(h - 1)*(h + 1)
Suppose 0 = 9*u + 5*u - 56. Solve -1/4*t**2 - 1/4*t + 1/4*t**u + 0 + 1/4*t**3 = 0 for t.
-1, 0, 1
Factor -14 + 22 + 12*s**2 + 4*s**3 + 12*s - 4.
4*(s + 1)**3
Let b(g) be the first derivative of -1/30*g**5 - 1/8*g**4 + 0*g - 5 - 1/12*g**2 - 1/6*g**3. Suppose b(m) = 0. Calculate m.
-1, 0
Let k be 180/(-324) + 1 + 0. Find r such that 2/9 + 2/9*r**2 - k*r = 0.
1
Let m = -263 + 265. Determine g, given that 2/7*g**m + 2/7*g - 4/7 = 0.
-2, 1
Let u(k) be the first derivative of 2*k**5/35 + k**4/7 - 8*k**3/21 - 8*k**2/7 - 27. Factor u(f).
2*f*(f - 2)*(f + 2)**2/7
Let w(r) be the first derivative of 33*r**5/100 - 7*r**4/10 + 2*r**3/5 + 7*r**2/2 + 8. Let k(c) be the second derivative of w(c). Factor k(s).
3*(3*s - 2)*(11*s - 2)/5
Let 0*u**2 + 13*u + 37 + 8*u - 3*u**3 - 6*u**2 - 49 = 0. What is u?
-4, 1
Find s, given that -2/5*s**2 + 2/5*s + 4/5 = 0.
-1, 2
Let t(a) be the first derivative of a**3/15 - 2*a**2/5 + 4*a/5 - 28. Find l such that t(l) = 0.
2
What is d in 6/5*d**2 - 8/5 + 8/5*d**3 - 8/5*d + 2/5*d**4 = 0?
-2, -1, 1
Suppose 15 + m**2 + m**2 + 18*m + m**2 = 0. What is m?
-5, -1
Let t(q) = -q. Let r be t(0). Find o such that -2*o**2 + 2 - o + 2*o**3 - o**5 + o**4 + r*o - 1 = 0.
-1, 1
Find r such that -2/3*r**4 + 0 + 8/3*r**3 + 4/3*r - 10/3*r**2 = 0.
0, 1, 2
Let y = 7 - 4. Determine s, given that 5/4*s**5 + 0 - 7/4*s**4 + 0*s**2 + 1/2*s**y + 0*s = 0.
0, 2/5, 1
Suppose 2 = r + 4*o, -o - 30 = 2*r - 13. Let f(y) = -y**4 - 4*y**3 + y**2 - 6*y. Let n(j) = -j**3 - j. Let d(m) = r*n(m) + 2*f(m). Factor d(z).
-2*z*(z - 1)**2*(z + 1)
Let g(n) = n + 4. Let u be g(4). Suppose 0 = -4*r + c + 13 + u, r + 11 = -3*c. Factor 4*d**r + 4*d**3 + d**4 - 7*d**2 + 2 - 3*d - d**3.
(d - 1)*(d + 1)**2*(5*d - 2)
Factor 0 + 4/7*z**2 + 0*z.
4*z**2/7
Let w(o) be the first derivative of 0*o**2 - 1/3*o**3 + o - 3. Find a such that w(a) = 0.
-1, 1
Let k(l) = -l**3 - l. Let w(z) = 11*z**3 + 2*z**2 + 2*z. Let u(t) = -2*k(t) - w(t). Determine d, given that u(d) = 0.
-2/9, 0
Let s(i) be the third derivative of i**8/33600 + i**7/8400 - i**6/600 + 7*i**5/60 - 6*i**2. Let l(d) be the third derivative of s(d). Factor l(j).
3*(j - 1)*(j + 2)/5
Let f(j) be the first derivative of 0*j**2 - 1/20*j**5 - j - 1/6*j**3 - 2 - 1/6*j**4. Let m(t) be the first derivative of f(t). Solve m(x) = 0 for x.
-1, 0
Let u(v) = v**2 + 3*v - 9. Let n(z) = 2*z - 5. Let j be n(4). Let c(l) = -l**2 - l + 5. Let y be (-1)/1*(-17 - -12). Let b(h) = j*u(h) + y*c(h). Factor b(s).
-2*(s - 1)**2
Suppose -1/4*s**3 + 1 - s**2 + 1/4*s = 0. What is s?
-4, -1, 1
Suppose -4*u - 4 = -4*a, 0*a = -a + 3. Factor -c**4 + 3*c**2 + 2*c + c**3 - u*c**2 - 3*c.
-c*(c - 1)**2*(c + 1)
Suppose 9*i - 5*i - 8 = 0. Let x(y) be the second derivative of 1/4*y**4 - 3/2*y**2 + i*y + 1/4*y**3 + 0 - 3/40*y**5. Find a, given that x(a) = 0.
-1, 1, 2
Let m be (-10)/(-4)*53/(-5). Let o = 27 + m. Factor -6*f**3 - 4*f**2 + o + 1/2*f.
-(2*f + 1)**2*(3*f - 1)/2
Let h(q) be the third derivative of 2*q**7/105 + q**6/15 + q**5/15 + 7*q**2. Factor h(w).
4*w**2*(w + 1)**2
Suppose -4*b + 4*r = 5*r - 9, 5*r = -15. Factor b*f**2 + f**2 + 5*f**3 - 3*f**3 + 0*f**2.
2*f**2*(f + 2)
Let d be (-2)/(0 - -1) + 10. Factor y**3 - 16*y**5 + y**3 - y**2 - d*y**4 + 3*y**3 + 2*y**3.
-y**2*(y + 1)*(4*y - 1)**2
Let y(r) be the second derivative of -r**7/7 - 8*r**6/15 - 2*r**5/5 - 4*r. Factor y(x).
-2*x**3*(x + 2)*(3*x + 2)
Let b be (-7)/(35/4)*-5. Factor -4/5*o**2 - o**b + 0*o + 8/5*o**3 + 0 + 1/5*o**5.
o**2*(o - 2)**2*(o - 1)/5
Let v(i) = -i**2 - i. Let t(m) = m**2 + 3*m - 16. Let a(f) = -t(f) + v(f). Factor a(x).
-2*(x - 2)*(x + 4)
Let m(g) be the first derivative of -2*g - 2 + 1/21*g**3 + 1/42*g**4 + 0*g**2. Let q(d) be the first derivative of m(d). Determine o, given that q(o) = 0.
-1, 0
Let u(b) = 4*b**2 - 3*b + 2. Let y be u(1). Suppose 0 = -4*x + y*x. Factor -1/3*d**2 + x*d + 0 - 1/3*d**4 - 2/3*d**3.
-d**2*(d + 1)**2/3
Let w(j) be the first derivative of j**7/420 + j**6/60 + j**5/30 + 2*j**3/3 - 2. Let q(c) be the third derivative of w(c). Factor q(i).
2*i*(i + 1)*(i + 2)
Let s(z) = 3*z**2 + 4*z + 5. Let b(a) = 1 + 0 - 2*a - 4 - 2*a**2 + 0*a**2. Suppose -n = -0 + 3. Let q(k) = n*s(k) - 5*b(k). Find t, given that q(t) = 0.
0, 2
Let b(d) be the second derivative of -d**6/45 + 14*d**5/15 - 49*d**4/3 + 1372*d**3/9 - 2401*d**2/3 + 14*d. Factor b(a).
-2*(a - 7)**4/3
Let f(i) be the first derivative of 2*i**3/27 + i**2/9 - 4*i/9 + 5. What is b in f(b) = 0?
-2, 1
Let t(x) be the first derivative of x**7/630 - x**6/120 + x**4/18 - 3*x**2/2 + 1. Let d(c) be the second derivative of t(c). What is f in d(f) = 0?
-1, 0, 2
Let n(o) be the third derivative of o**5/15 - o**4 + 10*o**3/3 + 5*o**2 - 4*o. Suppose n(z) = 0. Calculate z.
1, 5
Let w(u) be the third derivative of 0 + 1/1260*u**7 + 0*u - 1/360*u**6 + 1/144*u**4 - 7*u**2 - 1/180*u**5 + 1/36*u**3 + 1/2016*u**8. Let w(c) = 0. What is c?
-1, 1
Let k(c) be the second derivative of c**8/6720 - c**6/720 + c**4/4 - 3*c. Let g(t) be the third derivative of k(t). Factor g(q).
q*(q - 1)*(q + 1)
Factor 16/3*b**2 + 0*b - 32/3 + 0*b**3 - 2/3*b**4.
-2*(b - 2)**2*(b + 2)**2/3
Let k be (1 - 1 - -3) + -1. Factor g**2 + 0*g**3 + g**3 - 3*g**k + 3*g**2.
g**2*(g + 1)
Let a be 3 + 1/(-5 + 4). Let x(p) be the second derivative of 3*p + 0*p**a + p**3 + 0 + 1/4*p**4. Factor x(q).
3*q*(q + 2)
Let m be (40/(-3))/5 - -3. Let v(q) be the first derivative of 0*q**2 - 2 + 3/2*q**4 + m*q**6 + 2/3*q**3 + 0*q + 6/5*q**5. Factor v(x).
2*x**2*(x + 1)**3
Let a(f) = 2*f**2 + 13*f + 8. Let t be a(-6). Determine q so that 0 + 44/3*q**3 + 16*q**4 + 6*q**5 + 2/3*q + 16/3*q**t = 0.
-1, -1/3, 0
Suppose -29 = 3*y - r, -r + 25 = 4*r. Let w = -6 - y. Factor 1/3*x**4 + 0 - 1/3*x**w + 1/3*x**3 - 1/3*x.
x*(x - 1)*(x + 1)**2/3
Let j(h) be the second derivative of -2*h**6/15 + 3*h**5/5 - 2*h**4/3 - 14*h. Factor j(p).
-4*p**2*(p - 2)*(p - 1)
Let h be ((-75)/9 - 1)*-3. Suppose -2*p - 5*m = -8 + 22, -4*p + h = -4*m. Factor 3*g**p - 2*g**4 - 2*g**5 + 2*g**2 + 0*g**3 - g**3.
-2*g**2*(g - 1)*(g + 1)**2
Let w(b) be the second derivative of -5/12*b**4 - 1/10*b**5 + 0 - 2/3*b**3 - 1/2*b**2 - 6*b. Determine v so that w(v) = 0.
-1, -1/2
Let k(t) be the first derivative of -t**4/9 + 11*t**3/27 - 5*t**2/18 - 2*t/9 - 18. Find n, given that k(n) = 0.
-1/4, 1, 2
Suppose -8 = 3*v - 2, -4*v - 12 = -2*p. Suppose p*o - 3*o**2 + o**3 + 111 - 111 = 0. What is o?
0, 1, 2
Let k(b) = b. Let x(s) = 2*s**4 - 4*s**3 + 2*s**2 - 10*s. Let t(c) = -10*k(c) - x(c). Find i, given that t(i) = 0.
0, 1
Let g(q) be the third derivative of -1/120*q**6 + 0*q - 1/6*q**4 + 2*q**2 + 1/15*q**5 + 0*q**3 + 0. Factor g(i).
-i*(i - 2)**2
Let h(x) be the second derivative of 0 + 1/42*x**4 + 4/7*x**2 + 6*x + 4/21*x**3. Factor h(y).
2*(y + 2)**2/7
Let s(y) be the second derivative of y**5/160 - 5*y. Factor s(j).
j**3/8
Find k, given that 0 + 8/7*k + 2/7*k**3 - 8/7*k**2 = 0.
0, 2
Let l(u) be the first derivative of u**5/20 - u**4/16 - u**3/12 + u**2/8 + 12. Factor l(n).
n*(n - 1)**2*(n + 1)/4
Let y be 14/(-21) - 2/(-3). Suppose y = p + 2*p. Let p*f**2 + 1/3*f + 0 - 1/3*f**3 = 0. What is f?
-1, 0, 1
Factor 12*q**2 + q**4 + 4*q**3 + 15*q**2 + 44*q + 16 - 5*q**4 + 9*q**2.
-4*(q - 4)*(q + 1)**3
Factor 4/9 - 14/9*f + 2/3*f**2.
2*(f - 2)*(3*f - 1)/9
Let a(r) = -r**5 + 5*r**4 - 7*r**3 - r**2 - 4*r + 4. Let j(l) = -2*l**5 + 10*l**4 - 14*l**3 -