s s?
-2, 1
Factor -2*r + 2 + r**2 - r**2 - 2*r**2 + 2*r**3.
2*(r - 1)**2*(r + 1)
Suppose 0 = 4*w + i - 18, -4*i = 4*w - i - 22. Determine v so that -2*v**w - 33*v**3 - 3*v**4 - 27*v**2 - 6*v - 10*v**4 - 3*v**3 = 0.
-1, -2/5, 0
Let z(a) = -a**2 - 6*a - 3. Let m be z(-5). Factor 10*p**2 + 5*p + m*p**4 + 8*p**3 - 5*p + 4*p.
2*p*(p + 1)**2*(p + 2)
Solve -1/5*s**3 + 12/5*s + 0*s**2 - 16/5 = 0.
-4, 2
Let i(l) be the third derivative of 1/72*l**4 + 2*l**2 + 0 + 0*l + 1/180*l**5 - 1/18*l**3 - 1/360*l**6. Factor i(a).
-(a - 1)**2*(a + 1)/3
Determine u, given that 1/3*u**3 + 0*u + 0 - 2/3*u**2 = 0.
0, 2
Suppose 16 = -v + 4*c, -1 = -4*v + 3*c - 0. Suppose 0*b - b - 4*m = 2, -v*b + 6 = 2*m. Factor p**4 + 2*p**4 - b*p**4 + p**2 + 0*p**4 - 2*p**3.
p**2*(p - 1)**2
Factor -5 - 6*q + 3*q**2 - 1 - 6 + 3.
3*(q - 3)*(q + 1)
Let s = 3 + -3/4. Factor 3/4*j**2 - s*j + 0.
3*j*(j - 3)/4
Suppose 4*y + 3 + 13 = 0. Let f be -1 + (-57)/y + -1. Solve -119/4*i**4 + 67/4*i**3 + 23/4*i**2 - 1 - 4*i + f*i**5 = 0 for i.
-2/7, 1
Let t(w) = -4*w**2 + 2*w. Let r(c) = c**3 + 3*c**2 - 3*c. Let v(g) = 4*r(g) + 6*t(g). Factor v(s).
4*s**2*(s - 3)
Let b(r) be the second derivative of 2*r**7/21 + 4*r**6/15 + r**5/5 + r. Factor b(c).
4*c**3*(c + 1)**2
Let w = 2 - 2. Suppose w = -5*q + 3*j + 6, -2*j - j - 6 = 2*q. What is x in 2*x**3 + q*x**3 + 2*x**3 + x**4 + 4*x**2 = 0?
-2, 0
Factor 1330 - 1310 - 5*r**4 + 5*r**2 + 5*r**5 - 25*r**3 + 46*r - 6*r.
5*(r - 2)**2*(r + 1)**3
Factor 12 - 2*x + 8*x**3 - 9*x**3 - 14*x + 7*x**2.
-(x - 3)*(x - 2)**2
Let l(o) = o**3 + o**2 - o. Let u(b) = -2*b**3 - 3*b**2 + 2*b + 4. Let r(v) = 3*l(v) + u(v). Let j be r(0). Factor 3*f**2 + f + f**j + 3*f**4 + 3*f**3 - 3*f**4.
f*(f + 1)**3
Suppose -16/19 - 2/19*f + 32/19*f**2 - 16/19*f**4 - 2/19*f**5 + 4/19*f**3 = 0. Calculate f.
-8, -1, 1
Let a(p) be the third derivative of -3*p**2 + 0 - 1/60*p**5 + 0*p**3 + 0*p + 1/60*p**6 - 1/210*p**7 + 0*p**4. Find s such that a(s) = 0.
0, 1
Find l, given that 27*l**3 + 15*l**4 - 3*l - 7*l + 16*l - 2*l**5 + 5*l**5 + 21*l**2 = 0.
-2, -1, 0
What is j in 3/5*j**5 + 3/5*j**2 + 21/5*j**3 - 3*j**4 + 12/5 - 24/5*j = 0?
-1, 1, 2
Let j(u) be the third derivative of -u**7/11340 + u**4/8 - 3*u**2. Let k(x) be the second derivative of j(x). Find s such that k(s) = 0.
0
Let o be (-28)/(2/(-2 + 4)). Let t be 9/(-21) + (-26)/o. What is v in 3/2*v + 1 + t*v**2 = 0?
-2, -1
Let r(d) = -d - 9. Let p be r(-11). Factor 0*c**p + 2/7*c**3 + 0*c**4 - 2/7*c**5 + 0*c + 0.
-2*c**3*(c - 1)*(c + 1)/7
Suppose 5*t + 4*b = 35, -2*t + 2*b = -7*t + 25. Let 1/2*j**t + 1/2*j - j**2 + 0 = 0. Calculate j.
0, 1
Let c = 10/21 + 4/21. Let i(b) = b + 16. Let d be i(-16). Factor -2/3*v**5 + 0*v + c*v**4 + 2/3*v**3 - 2/3*v**2 + d.
-2*v**2*(v - 1)**2*(v + 1)/3
Suppose 2*t = -4*j + 14, -4*t + 3 = 2*j - 7*t. Determine u so that 10/7*u**j - 12/7*u**2 - 8/7*u + 16/7 - 2/7*u**4 = 0.
-1, 2
Let c(r) be the third derivative of -r**9/1512 - r**8/840 + r**3/2 - 2*r**2. Let t(q) be the first derivative of c(q). Solve t(j) = 0 for j.
-1, 0
Let v(r) be the second derivative of 9*r - 3/8*r**4 - 1/4*r**2 - 1/2*r**3 + 0. Factor v(w).
-(3*w + 1)**2/2
Factor -3/2 + 1/2*n**3 + 7/2*n - 5/2*n**2.
(n - 3)*(n - 1)**2/2
Let j = 2242/2815 + 2/563. Factor 4/5*n**2 + 0 + 0*n**3 + 2/5*n**5 - j*n**4 - 2/5*n.
2*n*(n - 1)**3*(n + 1)/5
Factor 0*w + 2/3*w**2 + 0 - 2/9*w**4 + 4/9*w**3.
-2*w**2*(w - 3)*(w + 1)/9
Let x be -3*(-1 - -3 - 3). Let l = 3 - x. Let -2*q**2 + l*q - 4/3*q**3 + 2/3 = 0. What is q?
-1, 1/2
Suppose 0*p - 15 = -3*p. Let k(z) be the third derivative of 1/30*z**p + 0*z**4 + 0*z - 3*z**2 - 1/3*z**3 + 0. Determine f so that k(f) = 0.
-1, 1
Let i be (-2)/(-60)*-3*3. Let p = 1/10 - i. What is v in 0*v**2 + 0*v**3 + 0*v - 2/5*v**5 - p*v**4 + 0 = 0?
-1, 0
Let z be 2/(-8)*((-80)/(-15))/(-8). Let t(y) be the first derivative of 3/5*y**5 - z*y**6 - 1/2*y**4 + 3/2*y**2 - 2/3*y**3 + 2 - y. Factor t(j).
-(j - 1)**4*(j + 1)
Let r(x) = 6*x**2 + 9*x - 9. Let a(k) = -k**2 - 2*k + 2. Let g(z) = -22*a(z) - 4*r(z). Factor g(f).
-2*(f - 2)**2
Let o be (2/(-18))/(3/(-36)). Suppose 3*m**3 + o*m - 4*m**2 + 0 = 0. What is m?
0, 2/3
Let c(r) be the third derivative of -r**5/30 + r**4/8 + r**3/3 - 12*r**2. What is z in c(z) = 0?
-1/2, 2
Let w = 11 + -11. Let w*m**4 + m**3 - 5*m**4 + 4*m**4 = 0. Calculate m.
0, 1
Determine d, given that 8*d**2 + 2376*d**4 - 5*d + 7*d**2 - 2371*d**4 - 15*d**3 = 0.
0, 1
Let s(d) = -2*d**4 + 24*d**2 - 174 + 12*d**3 + 177 + 5*d**4 + 18*d. Let u(q) = -q**2 - q. Let m(i) = -s(i) - 6*u(i). Factor m(w).
-3*(w + 1)**4
Let h(m) = -m**2 + m. Let s be (3 + 3)*(-2)/6. Let q(x) = -2*x + 5*x + 0*x + 4*x**3. Let p(a) = s*q(a) + 6*h(a). Factor p(n).
-2*n**2*(4*n + 3)
Let i be -3*(2 - (-10)/(-3)) + -4. Let y(c) be the second derivative of 2*c + 0*c**2 - 1/6*c**4 + i - 1/3*c**3. Find g, given that y(g) = 0.
-1, 0
Let q = 8 - 5. Let f**2 - 12*f**3 + 3*f**4 - 14*f + q + 2*f + 17*f**2 = 0. Calculate f.
1
Let h(f) be the third derivative of f**5/12 - 35*f**4/12 + 245*f**3/6 - 6*f**2. Factor h(q).
5*(q - 7)**2
Suppose i + 0*y - 6 = y, -2*i + 24 = -5*y. Let a(b) be the first derivative of 2 + 2/15*b**3 + 8/5*b - 4/5*b**i. Factor a(x).
2*(x - 2)**2/5
Let l(h) = -5*h**5 - h**3 - 3*h. Let b(p) = -p**5 + p**4 - p. Let k(x) = 6*b(x) - 2*l(x). Solve k(g) = 0 for g.
-1, -1/2, 0
Factor 35/6*m**2 + 15/2*m + 5/3.
5*(m + 1)*(7*m + 2)/6
Let n(j) be the third derivative of -j**5/12 + 5*j**4/4 - 20*j**3/3 - 40*j**2. Factor n(a).
-5*(a - 4)*(a - 2)
Suppose 9 - 24 = 4*i - 3*g, -i - 4*g + 20 = 0. Factor 4/5*j**4 + 0*j - 4/5*j**5 + 0*j**2 + i + 0*j**3.
-4*j**4*(j - 1)/5
Suppose 1 = 7*l - 13. Let p(h) be the first derivative of -1/12*h**3 - 3 + 1/4*h**l - 1/4*h. Find r such that p(r) = 0.
1
Let d be 48/90 + (-1)/3. Factor 0 + d*s + 1/5*s**2.
s*(s + 1)/5
Let q = 13773 - 151375/11. Let m(a) be the first derivative of -32/11*a - 112/11*a**4 + 1 - 208/11*a**3 - 98/55*a**5 - q*a**2. Determine g so that m(g) = 0.
-2, -2/7
Factor -1/2*v**2 + v - 1/2.
-(v - 1)**2/2
Let j be (-8)/5*(-15)/(-3). Let g be 253/220 - (-6)/j. Suppose g*l**2 - 2/5*l**3 - 2/5 + 2/5*l = 0. Calculate l.
-1, 1
Let z(k) be the first derivative of -k**3 + 21*k**2/2 + 24*k + 11. Suppose z(v) = 0. What is v?
-1, 8
Let n be (6/24)/((45/24)/5). Suppose -2/3*c**2 + 0*c + n = 0. What is c?
-1, 1
Let i(z) be the second derivative of 0*z**4 + 0*z**2 - 1/10*z**6 - 1/20*z**5 + 0 + 0*z**3 - 3*z. Factor i(c).
-c**3*(3*c + 1)
Let s = 206 + -204. Factor -s*f + 1/2*f**2 + 2.
(f - 2)**2/2
Let s = -16 - -18. Let h be 1 + (3/s - 2). Find q such that -h*q**2 + 1/2*q**3 + 0 - q = 0.
-1, 0, 2
Suppose 7*n - 30 = 3*n + 2*h, -29 = -4*n + h. Determine w so that -1 + w**3 + n*w - 13*w + 9*w - 3*w**2 = 0.
1
Let s(m) be the third derivative of m**8/336 + m**7/210 - m**6/60 - m**5/30 + m**4/24 + m**3/6 - 2*m**2. Factor s(i).
(i - 1)**2*(i + 1)**3
Let r = 19 + -13. Let g(a) = -a**3 - 8*a**2 - 7*a + 7. Let h(x) = -x**3 - 7*x**2 - 6*x + 6. Let s(k) = r*g(k) - 7*h(k). Factor s(f).
f**2*(f + 1)
Let z(c) be the first derivative of -3*c**5/80 + c**4/16 + c**3/4 + 4*c + 1. Let u(j) be the first derivative of z(j). Factor u(g).
-3*g*(g - 2)*(g + 1)/4
Let v(x) be the second derivative of x**5/240 - x**2 - 2*x. Let r(q) be the first derivative of v(q). Suppose r(j) = 0. Calculate j.
0
Let t be ((-21)/6)/(-7)*18. Suppose 2 - t*l - 6*l - 5 - 12*l**2 = 0. Calculate l.
-1, -1/4
Factor 2*b - 4*b + 1 + b**2 - 2 + 2.
(b - 1)**2
Suppose -14*x - 32*x + 184 = 0. Let 2*u**3 - 6/11*u**x - 4/11 + 18/11*u - 30/11*u**2 = 0. What is u?
2/3, 1
Let i(t) be the second derivative of t**4/66 - 2*t**3/33 + t**2/11 + 11*t. Factor i(a).
2*(a - 1)**2/11
Let g(s) be the third derivative of s**8/1848 - s**7/1155 - s**6/110 + 7*s**5/165 - s**4/12 + s**3/11 + 17*s**2. Solve g(a) = 0 for a.
-3, 1
Let l(m) be the first derivative of m**4/22 + 12*m**3/11 + 108*m**2/11 + 432*m/11 + 15. Suppose l(j) = 0. Calculate j.
-6
Let n(d) be the first derivative of -4*d**5/45 - 2*d**4/9 + 4*d**2/9 + 4*d/9 - 25. Suppose n(f) = 0. What is f?
-1, 1
Let f(z) be the second derivative of -3*z**6/85 + 6*z**5/85 + 5*z**4/102 - 4*z**3/17 + 4*z**2/17 + 2*z. Find t, given that f(t) = 0.
-1, 2/3, 1
Suppose -8 = -3*c - c. Let w(g) be the first derivative of -g**4 + 1/2*g**2 + 0*g - g**3 - c. Factor w(d).
-