45 + 13*q**6/280 - 2*q**5/35 + q**4/56 + 9*q**2. Factor v(w).
-3*w*(w - 1)**2*(6*w - 1)/7
Factor d**2 + 9 - 5*d**2 - 3*d - 10*d**3 - 5*d**2 + 13*d**3.
3*(d - 3)*(d - 1)*(d + 1)
Let n = 4 + -5. Let w(v) = -v**2 - 1. Let d(b) = b**3 - b**2 - 2. Let u(t) = n*d(t) + 2*w(t). Let u(o) = 0. What is o?
-1, 0
Let y be (7/((-84)/9))/(-30). Let k(z) be the second derivative of 1/12*z**3 + 0 + 1/4*z**2 - y*z**5 - 1/24*z**4 - 2*z. Determine x so that k(x) = 0.
-1, 1
Factor 1/5*h**3 + 1/5*h + 0 + 2/5*h**2.
h*(h + 1)**2/5
Let n(w) be the third derivative of w**7/315 - 7*w**6/180 - w**5/30 + 55*w**4/36 + 50*w**3/9 - 2*w**2 + 24. Factor n(l).
2*(l - 5)**2*(l + 1)*(l + 2)/3
Let s(v) be the first derivative of -v**8/840 - v**7/140 - v**6/180 + v**5/20 + v**4/6 - v**3 - 1. Let k(u) be the third derivative of s(u). Factor k(c).
-2*(c - 1)*(c + 1)**2*(c + 2)
Let n(b) be the second derivative of 54*b**6/35 - 171*b**5/35 + 34*b**4/7 - 8*b**3/21 - 16*b**2/7 + 23*b. Suppose n(h) = 0. What is h?
-2/9, 2/3, 1
Let a(c) be the second derivative of 3*c**7/70 + 11*c**6/50 + 23*c**5/50 + c**4/2 + 3*c**3/10 + c**2/10 - 4*c. Let a(q) = 0. What is q?
-1, -1/3
Suppose -2*j + 11 + 5 = 0. Suppose -8*x + j = -4*x. Determine s, given that -1/5*s**x + 3/5*s - 2/5 = 0.
1, 2
Let p = -22 + -8. Let f = -28 - p. Let 4/7*c - 2/7 - 2/7*c**f = 0. What is c?
1
Let f be 1/(2 + 12/(-8)). Let s be 2/f*(-40)/(-50). Determine n, given that 3*n**3 + 1/5*n + 0 + 13/5*n**4 + s*n**5 + 7/5*n**2 = 0.
-1, -1/4, 0
Factor -10*b - 16 - 6*b - 4*b + 0*b - 4*b**2.
-4*(b + 1)*(b + 4)
Find v such that -4*v**2 + 3 + 2 - 4*v - 5 = 0.
-1, 0
Let d(q) = -q**2 + q + 13. Let s be d(0). Suppose -5*r - s + 33 = 0. Solve -4*y**5 + y + 3*y**3 + 4*y**4 + 0*y**4 + 0*y**2 - r*y**2 = 0.
-1, 0, 1/2, 1
Determine i, given that -3*i + 9*i + 4*i - 2*i**2 - 2*i = 0.
0, 4
Factor -4/7*i + 0 + 2/7*i**2.
2*i*(i - 2)/7
Let y be 0/(-5 + 5 + -1). Let w(a) be the second derivative of y*a**3 + 0*a**2 + 2*a + 1/12*a**4 + 1/40*a**5 + 0. Factor w(h).
h**2*(h + 2)/2
Let i = -33 + 37. Let z(c) be the third derivative of 3*c**2 - 1/18*c**i + 0 + 0*c**3 + 0*c + 1/90*c**5. Factor z(m).
2*m*(m - 2)/3
Let l(u) = -u**3 + 3*u**2 - 2*u + 3. Let z be l(2). Determine p so that -p**2 - 4*p**z + 0*p**3 + 5*p**3 = 0.
0, 1
Let b = 14 + -12. Let w(j) be the first derivative of -154/3*j**3 + 1 - 8*j - 49/2*j**4 - 32*j**b. Factor w(x).
-2*(x + 1)*(7*x + 2)**2
Let y(h) be the third derivative of h**10/10080 + h**9/2520 + h**8/2240 - h**4/24 - 2*h**2. Let v(l) be the second derivative of y(l). Factor v(w).
3*w**3*(w + 1)**2
Find c such that 54/7 + 2/7*c**3 + 54/7*c + 18/7*c**2 = 0.
-3
Let h = -199/3 + 67. Let m = -3/106 + 221/318. Factor 4/3*k - m*k**2 - h.
-2*(k - 1)**2/3
Let h(a) = -3*a**2 + 3. Let p(r) = -r**3 - 4*r**2 + r + 4. Let j(q) = 4*h(q) - 3*p(q). Factor j(x).
3*x*(x - 1)*(x + 1)
Let v(q) = -q**3 + q. Let x(t) = 12*t**3 - 2*t**2 - 12*t + 2. Let c = 5 - 4. Let d(k) = c*x(k) + 10*v(k). Factor d(y).
2*(y - 1)**2*(y + 1)
Let c(l) be the second derivative of l**4/6 + 2*l**3 + 9*l**2 + 7*l. Solve c(s) = 0 for s.
-3
Let b(x) = 10*x**2 - 10*x + 4. Suppose 2*s + 10 + 4 = 4*r, 2*r - 13 = -5*s. Let v(d) = d**2 - d. Let y(f) = s*b(f) - 12*v(f). Factor y(i).
-2*(i - 2)*(i + 1)
Find s such that 0*s**3 - 4*s**5 + s**2 - 4*s**4 + 2*s**2 + s**2 + 4*s**3 = 0.
-1, 0, 1
Let k**2 + 4*k + 7*k**2 - 11*k**2 - 3*k**2 + 2*k**3 = 0. What is k?
0, 1, 2
Let y = 3/100 + 1/50. Let b(k) be the third derivative of 0 - 2*k**2 + 0*k + 1/24*k**4 + 1/40*k**6 + y*k**5 + 1/210*k**7 + 0*k**3. Find s, given that b(s) = 0.
-1, 0
Let z be (-54)/30 + 4/2. Factor z - 2/5*q + 1/5*q**2.
(q - 1)**2/5
Let -6*g**2 - g**3 + 3*g**4 + 6 - 3*g**5 - 3 + 2*g - 5*g + 7*g**3 = 0. What is g?
-1, 1
Suppose 4*h = -2*y + 6*y + 8, -3*y + 14 = h. Let q(g) be the third derivative of 0 - 2*g**2 + 0*g**3 + 0*g + 0*g**4 + 0*g**h + 1/120*g**6. Factor q(d).
d**3
Let q = 19/156 + 6/13. Let u(s) be the second derivative of -1/2*s**2 + q*s**3 + 3*s - 5/24*s**4 + 0. Suppose u(n) = 0. What is n?
2/5, 1
Let j(f) = -7*f**3 - 7*f**2 - 4*f. Let h(c) = -6*c**3 - 6*c**2 - 3*c. Let t(y) = -4*h(y) + 3*j(y). Find a, given that t(a) = 0.
-1, 0
Factor -3*k + 3 + 3/4*k**2.
3*(k - 2)**2/4
Let n(j) = j**2 + 5*j - 9. Let k be n(-7). Let p be ((-6)/(-105))/1*k. Suppose -2/7*m**2 + 0*m + p = 0. What is m?
-1, 1
Factor -21/4*p**4 - 3/2*p**3 + 0*p + 3/4*p**2 - 3*p**5 + 0.
-3*p**2*(p + 1)**2*(4*p - 1)/4
Let d(v) be the first derivative of 3*v**4/20 - v**3/5 - 3*v**2/10 + 3*v/5 - 13. Factor d(n).
3*(n - 1)**2*(n + 1)/5
Find h such that -h**2 - 3*h + 4 - 4*h + 2*h**2 + 3*h = 0.
2
Let h(k) be the second derivative of k**4/18 + 5*k**3/9 - 2*k**2 - 15*k. Find g, given that h(g) = 0.
-6, 1
Let v be 12/18*(-2 + 8). Let -8*n**3 - 1 - 3*n**3 + 2*n + 4*n**3 + n**v + 5*n**3 = 0. What is n?
-1, 1
Let p be 36 - (-4)/10*-1. Let s = 36 - p. Factor -4/5*o**2 + 2/5*o + 0 + s*o**3.
2*o*(o - 1)**2/5
Let o(s) be the first derivative of s**4/78 + 2*s**3/39 + s**2/13 - 6*s + 2. Let y(b) be the first derivative of o(b). Factor y(c).
2*(c + 1)**2/13
Let s(q) = q**4 - 12*q**3 - 2*q**2 + 8*q + 9. Let h(k) = 6*k**4 - 60*k**3 - 9*k**2 + 39*k + 45. Let b(p) = -4*h(p) + 21*s(p). Suppose b(n) = 0. Calculate n.
-3, -1, 1
Let i = -42 - -42. Factor i*p + 1/6 - 1/6*p**2.
-(p - 1)*(p + 1)/6
Let c = -215/2 - -1511/14. Find z, given that c*z**3 + 0 - 3/7*z**2 + 0*z = 0.
0, 1
Let x = 1 + -1. Let t(l) be the first derivative of 1/9*l**2 - 3 + x*l + 2/27*l**3. Suppose t(k) = 0. What is k?
-1, 0
Let r = 4 + 0. Let w(y) be the first derivative of -1/12*y**r + 2/15*y**5 + 0*y - 1 - 1/18*y**6 + 0*y**2 + 0*y**3. Determine b, given that w(b) = 0.
0, 1
Let w be ((-2)/(-7))/(30/7). Let l(b) be the second derivative of -1/50*b**5 + w*b**3 + 0*b**2 + 0 - 1/30*b**4 - 3*b + 1/75*b**6. Suppose l(a) = 0. Calculate a.
-1, 0, 1
Let i(p) = p + 1. Suppose 5*z - 10 + 5 = 0. Let d be i(z). Factor -2*m**d - 2*m**4 + 3*m**2 + 3*m**2 - 2.
-2*(m - 1)**2*(m + 1)**2
Let i = -28 + 30. Let w(f) be the first derivative of 2*f + 0*f**i + 0*f**4 + 2/5*f**5 - 1 - 4/3*f**3. What is h in w(h) = 0?
-1, 1
Suppose -i + 2*j + 10 = 0, 0*i = i + 4*j + 14. Suppose -y + 0 = -i. Determine u, given that -y*u**2 - 5*u + 0*u**2 + 3*u = 0.
-1, 0
Factor 1/5*m**5 + 0 + 0*m**2 + 0*m**4 - 1/5*m**3 + 0*m.
m**3*(m - 1)*(m + 1)/5
Factor 5/3*v**3 - 20/3*v - 20/3 + 5/3*v**2.
5*(v - 2)*(v + 1)*(v + 2)/3
Factor 4 - 2 + 2*c**2 + 2*c**2 - 6.
4*(c - 1)*(c + 1)
Find l, given that 0*l + 2/5*l**2 + 0 + 4/5*l**4 - 4/5*l**5 + 7/5*l**3 = 0.
-1/2, 0, 2
Let z(n) be the first derivative of n**3/12 + n**2 + 4*n - 4. Factor z(x).
(x + 4)**2/4
Let d(b) = 2*b**3 + 8*b**2 + 3*b + 3. Let s(i) = -14*i**3 - 56*i**2 - 20*i - 22. Let l(p) = 44*d(p) + 6*s(p). Factor l(y).
4*y*(y + 1)*(y + 3)
Suppose 0 = n - w + 2, n + 2*n + 11 = 4*w. Factor 7*f + n*f**2 - f - 6*f**2.
-3*f*(f - 2)
Let a(k) = -4*k**2 + 5*k + 6. Let j(o) = 17*o**2 - 19*o - 23. Let p(g) = -26*a(g) - 6*j(g). Solve p(r) = 0.
-1, 9
Let l = -580 - -818. Let z be 18/45 - l/(-30). Factor -8*g - 15*g**2 - z*g**3 - 4/3.
-(g + 1)*(5*g + 2)**2/3
Let y be -2*(-1 + 2 - 2). Factor -2 - 16*a + 18*a**3 + 6*a**2 - y - 5 + 1.
2*(a - 1)*(3*a + 2)**2
Let p be (3 + 0)*5/3. Let h(s) = -s**3 + 2*s - 1. Let z be h(-2). Factor 0*b**z + 2/7*b**p - 4/7*b**2 + 0 - 2/7*b + 4/7*b**4.
2*b*(b - 1)*(b + 1)**3/7
Let m(i) = i**3 - 11*i**2 + 11*i - 10. Let p be m(10). Factor 2/5*r**2 - 1/5*r**3 + 0*r + p.
-r**2*(r - 2)/5
Let c(u) be the first derivative of -8*u**2 + 0*u - 3*u**4 + 2/5*u**5 + 8*u**3 - 6. What is a in c(a) = 0?
0, 2
Let u be (-1)/(-4) - (-566)/8. Factor -4*f**2 - u + 7 + 3*f**2 - 3*f**2 - 32*f.
-4*(f + 4)**2
Suppose 9*y - 6*y = 24. Factor -3*v**2 + y - 2 - 2 + v**3.
(v - 2)**2*(v + 1)
Factor 0*a**3 + 9*a - 2 - a**4 + 8*a**4 + 0*a**2 - 9*a**3 - 5*a**2.
(a - 1)**2*(a + 1)*(7*a - 2)
Let m(q) be the first derivative of -q**6/12 - q**5/10 + 3*q**4/8 + q**3/6 - q**2/2 + 1. Let m(n) = 0. What is n?
-2, -1, 0, 1
Let q(y) = -4*y**2 - y + 13. Let g(u) = -u + 10. Let l be g(5). Suppose -l*z - 9 = -69. Let o(r) = 10*r**2 + 2*r - 32. Let j(a) = z*q(a) + 5*o(a). Factor j(s).
2*(s - 2)*(s + 1)
Let o = -103/3 + 35. Let k = 10 + -8. Solve 0 + 0*s - 2/3*s**3 + o*s**k = 0.
0, 1
Suppose 5*o + 2*z - 18 = 3, -o + 13 = -4*z. Suppose -o*r = -7