 + 0 - p. Solve q(o) = 0 for o.
0
Factor -70*u + 4*u**2 + 245 - 4*u**2 - 6*u**2 + 11*u**2.
5*(u - 7)**2
Let s(x) = x**4 - 3*x**3 + x - 3. Let n(g) = g**4 - 5*g**3 + 2*g**2 + 3*g - 5. Let o(k) = 3*n(k) - 5*s(k). Factor o(r).
-2*r*(r - 2)*(r + 1)**2
Let h(l) be the third derivative of -l**8/840 + l**7/525 + l**6/100 - l**5/30 + l**4/30 + 4*l**2. Solve h(a) = 0.
-2, 0, 1
Let w be -6*(33/9 + -4). Factor -4*p + 3*p + 0*p - p**2 + 2*p**w.
p*(p - 1)
Let b(j) be the first derivative of j**4/18 + 4*j**3/27 + j**2/9 + 10. Factor b(z).
2*z*(z + 1)**2/9
Let k be 2/(-2 - (3 + -6)). Find z such that 1 - 4*z**2 + 4*z**2 + z**2 - k = 0.
-1, 1
Let j(i) be the second derivative of -1/45*i**6 + 0*i**4 + 0*i**3 + 0 - 1/30*i**5 + 0*i**2 + 3*i. What is c in j(c) = 0?
-1, 0
Let a(k) be the second derivative of -2*k**6/45 - k**5/15 + k**4/3 + 10*k**3/9 + 4*k**2/3 - 9*k. Factor a(g).
-4*(g - 2)*(g + 1)**3/3
Let n(w) = 3*w**3 + 17*w**2 + 13*w + 7. Let k(x) = 11*x**3 + 69*x**2 + 51*x + 29. Let o(b) = -2*k(b) + 9*n(b). Factor o(v).
5*(v + 1)**3
Let f = 1189/5 + -237. Factor 0*b + 2/5*b**4 + 2/5*b**5 + 0*b**2 - f*b**3 + 0.
2*b**3*(b - 1)*(b + 2)/5
Let m(n) = -n**3 - 4*n**2 - 3*n. Let v be m(-3). Let j be ((-1)/1 - -3) + v. Let 2/9*s + 2/9*s**j + 0 = 0. What is s?
-1, 0
Suppose -2*v = -j - 9, 2*j - 15 = -v - j. Let t be (v/(-4))/(15/(-20)). Determine d, given that 13/4*d**t - 3*d**3 - 1/4 + 0*d = 0.
-1/4, 1/3, 1
Let t(g) = 5*g**4 + 6*g**3 + 2*g**2 - 6*g - 3. Let z(p) = 36*p**4 + 42*p**3 + 15*p**2 - 42*p - 21. Let y(q) = -15*t(q) + 2*z(q). Factor y(s).
-3*(s - 1)*(s + 1)**3
Let n be (7/5 - 1)*120/96. Determine m so that m + n*m**2 + 1/2 = 0.
-1
Let f(h) be the first derivative of -2/3*h**3 + 5/4*h**2 - 1/2*h - 2. Suppose f(l) = 0. What is l?
1/4, 1
Let m be (66/(-4) + 3)/(-6). Find o such that -3/4*o**3 + 0 + 0*o + m*o**2 = 0.
0, 3
Suppose -16 = -3*k + 29. Let a be ((-3)/k)/((-1)/2). Factor -a*c**3 + 0*c**2 + 2/5*c + 0.
-2*c*(c - 1)*(c + 1)/5
What is t in -32/7*t**4 + 0 - 12/7*t**2 - 18/7*t**5 + 62/7*t**3 + 0*t = 0?
-3, 0, 2/9, 1
Let d = -36 + 44. Let v(c) be the third derivative of 0 - 2/735*c**7 + 1/420*c**6 + 0*c**3 + 2*c**2 + 0*c**5 + 1/1176*c**d + 0*c**4 + 0*c. Factor v(m).
2*m**3*(m - 1)**2/7
Let a(k) be the second derivative of k**5/100 + k**4/10 - 8*k. Suppose a(o) = 0. Calculate o.
-6, 0
Let z(y) be the second derivative of y**10/30240 + y**9/15120 - y**8/6720 - y**7/2520 + y**4/6 - y. Let x(s) be the third derivative of z(s). Factor x(n).
n**2*(n - 1)*(n + 1)**2
Let d be 36/4 + 99/(-11). Factor 0*r - 2/3*r**2 + d - 2/3*r**3.
-2*r**2*(r + 1)/3
Factor 3/2*n**3 - n + 3/2*n**2 - 7/2*n**4 + 0 + 3/2*n**5.
n*(n - 1)**3*(3*n + 2)/2
Let z(q) be the second derivative of 0*q**2 + 1/16*q**4 - 6*q - 3/80*q**5 + 0 + 1/120*q**6 - 1/24*q**3. Suppose z(p) = 0. What is p?
0, 1
Let c = 6057/7 + -865. Factor -c + 2/7*z**4 - 4/7*z**3 + 0*z**2 + 4/7*z.
2*(z - 1)**3*(z + 1)/7
Suppose -o - 9 = -4*x, -6*o + 2*o + 3*x = -3. Solve -3/4*r**o + r**2 + 1/4*r - 1/2 = 0 for r.
-2/3, 1
Let b(z) = z**2 + z. Let n(t) = -8*t**2 - 8*t. Let m(a) = 28*b(a) + 4*n(a). Solve m(u) = 0.
-1, 0
Solve 4/3*n**3 + 4/3*n**2 + 0 + 0*n = 0 for n.
-1, 0
Let i(v) be the third derivative of v**8/840 - v**7/420 - v**3 + v**2. Let l(z) be the first derivative of i(z). Factor l(c).
2*c**3*(c - 1)
Suppose -2*t = -6*t - 28. Let n = -4 - t. Factor 5*c**n - c**3 - c**4 - 2*c**3 + 4*c + 3*c**3 - 8*c**2.
-c*(c - 2)**2*(c - 1)
Suppose 0 = 5*t + 4*d - 5, 3*d = -t + 3*t - 25. Suppose t*g = -0 + 10. Factor 2/7*r**4 + 0*r**g + 0 + 0*r**3 + 0*r - 2/7*r**5.
-2*r**4*(r - 1)/7
Let g(o) be the third derivative of -o**9/15120 - o**8/1260 - o**7/420 + o**5/6 - 5*o**2. Let r(f) be the third derivative of g(f). Factor r(m).
-4*m*(m + 1)*(m + 3)
Let -9 - 15/2*m + 3/2*m**2 = 0. What is m?
-1, 6
Let g(p) = -p**2 + 13*p + 8. Let d(b) = -b**2 + 25*b + 16. Let t(s) = -3*d(s) + 5*g(s). Factor t(k).
-2*(k + 1)*(k + 4)
Let i(l) be the third derivative of l**8/70560 - l**7/8820 + l**5/30 - 2*l**2. Let p(n) be the third derivative of i(n). Find r such that p(r) = 0.
0, 2
Let t(s) be the first derivative of -6*s**6/5 + 108*s**5/25 + 7*s**4/5 - 92*s**3/15 + 12*s**2/5 - 27. Find u, given that t(u) = 0.
-1, 0, 1/3, 2/3, 3
Let t(p) be the first derivative of p**6/60 - p**5/90 - p**4/18 - p**2 + 3. Let z(g) be the second derivative of t(g). Determine s so that z(s) = 0.
-2/3, 0, 1
Factor 0*v**2 + 3*v**5 - 6*v**3 + 17*v + 0*v**2 - 14*v.
3*v*(v - 1)**2*(v + 1)**2
Let q be 0*(3/6*2)/(-1). Factor 0 + 2/3*f**2 + q*f - 2/3*f**4 + 0*f**3.
-2*f**2*(f - 1)*(f + 1)/3
Let z(w) be the first derivative of -4*w**3/3 + 8*w**2 + 9. Find h, given that z(h) = 0.
0, 4
Let l(s) = -2*s**4 - 2*s**3 - s**2 + 2*s - 4. Let b(u) = u**4 + u**3 - u + 2. Let n(c) = 7*b(c) + 3*l(c). Solve n(r) = 0 for r.
-2, -1, 1
Determine y, given that 0 - 1/4*y - 1/4*y**2 = 0.
-1, 0
Let b = 17 + -17. Factor -1/2 + b*x**2 + 3/4*x - 1/4*x**3.
-(x - 1)**2*(x + 2)/4
Let q(t) be the second derivative of t**8/6720 + t**7/1260 - t**4/6 - 4*t. Let s(u) be the third derivative of q(u). Let s(x) = 0. What is x?
-2, 0
Factor 1/12*k**3 - 1/6*k**2 - 1/4*k + 0.
k*(k - 3)*(k + 1)/12
Let a(v) be the third derivative of 0*v**3 - 1/8*v**4 + 1/112*v**8 + 1/10*v**5 + 0*v + 0 - 3*v**2 - 1/35*v**7 + 0*v**6. Determine u so that a(u) = 0.
-1, 0, 1
Let p(a) = -10*a**2 + 4. Let q = 6 - 5. Let d(w) = 0 - w + 6 - 20*w**2 + q. Let j(r) = 4*d(r) - 7*p(r). Factor j(s).
-2*s*(5*s + 2)
Suppose -5/3*u**2 - 4/3*u**4 + 2/3*u - 11/3*u**3 + 0 = 0. Calculate u.
-2, -1, 0, 1/4
Let m(z) be the third derivative of 5*z**2 + 0*z - 1/140*z**6 + 1/14*z**3 + 0*z**5 + 0 - 1/490*z**7 + 1/28*z**4. Find q such that m(q) = 0.
-1, 1
Let w = -8 + 12. Suppose -5*a + 3 = 4*i, -4*i - 21 = -3*a - 0*i. Let a*c**2 + 7/3*c + 2/3 + 1/3*c**w + 5/3*c**3 = 0. What is c?
-2, -1
Let j(h) = -h**3. Let c(s) = 85*s**2 + 155*s + 75. Let p(r) = -c(r) + 5*j(r). Factor p(w).
-5*(w + 1)**2*(w + 15)
Let u(r) be the second derivative of -r**6/105 - 3*r**5/70 - r**4/21 - 22*r. Suppose u(f) = 0. What is f?
-2, -1, 0
Determine o so that 3*o + 0*o**2 + 3/4*o**5 + 0*o**4 + 0 - 15/4*o**3 = 0.
-2, -1, 0, 1, 2
Let s(n) = -2*n**2 + 6*n + 0*n**2 + 0*n**2 + 3*n**2 - 7. Let v be s(-7). Factor v + 1/3*z**2 + 1/3*z.
z*(z + 1)/3
Let v be 30/135 - 4/(-9). Let z(d) be the first derivative of -d**2 + 1/2*d**4 + v*d**3 - 1 - 2*d. Factor z(c).
2*(c - 1)*(c + 1)**2
Let w = 167729/7 + -24120. Let q = w + 159. Factor 0*f - q*f**4 - 8/7*f**2 + 0 + 8/7*f**3.
-2*f**2*(f - 2)**2/7
Suppose 2*v + 5*q = -16, -5*v = -5*q + 7*q - 2. Let y(a) be the second derivative of 2/21*a**3 - 1/7*a**2 + 0 - 1/42*a**4 + v*a. Factor y(r).
-2*(r - 1)**2/7
Let 7*m + 5*m**4 + 5*m - 10 + 4*m**2 + 3*m - 15*m**3 + m**2 = 0. Calculate m.
-1, 1, 2
Let u(o) be the third derivative of -o**5/60 - o**4/12 + 4*o**2. Let g be u(-2). Let -2/9*m**2 + 0*m + g = 0. What is m?
0
Suppose 5*c + 0*c = 10. Find r such that -c*r**2 - 3*r**2 + 6*r**2 + 2*r**3 + 2 - 2*r - 3*r**2 = 0.
-1, 1
Let r(f) be the first derivative of -1/27*f**6 + 1 - 16/9*f**2 - 19/18*f**4 + 14/45*f**5 + 8/9*f + 50/27*f**3. What is u in r(u) = 0?
1, 2
Let w be 59 + -61 - (36/(-5))/2. Factor -2/5*o**4 + 0 + w*o**3 + 4/5*o - 2*o**2.
-2*o*(o - 2)*(o - 1)**2/5
Suppose -g + 4*y = -150, -3*y = -g - 5*y + 168. Let s = 491/3 - g. Factor s*o + 2/3 - o**3 - 4/3*o**2.
-(o - 1)*(o + 2)*(3*o + 1)/3
Let h = 9 - 7. Factor 0*t - 2*t**4 - h*t**5 + 2*t - 4*t**2 + 6*t**4.
-2*t*(t - 1)**3*(t + 1)
Let r(n) = n**3 - 5*n**2 - 2*n - 9. Let x be r(7). Let z be 65/x + 1/(-5). Factor 2/3*f + z*f**2 + 0.
2*f*(f + 1)/3
Let r(u) be the first derivative of 0*u + 0*u**2 + 4/15*u**3 + 3 + 1/10*u**4. Factor r(k).
2*k**2*(k + 2)/5
Let a(s) be the third derivative of -s**4/24 + 7*s**3/6 + 2*s**2. Let y be a(5). Let 3*o**4 + y*o - 16*o**3 - 22*o**2 + 39*o**4 - 6*o = 0. What is o?
-1/3, -2/7, 0, 1
Let c(j) be the first derivative of 2*j**3/27 + j**2/9 + 5. Factor c(o).
2*o*(o + 1)/9
Let l = 112 + -782/7. Let f = 1922/1645 - 6/235. Find g, given that -f + 8/7*g - l*g**2 = 0.
2
Suppose -5*g - 4*b + 84 = 0, -4*b = g - 4*g + 44. Let 4*k - k**3 - 3*k - g + 16 = 0. Calculate k.
-1, 0, 1
Suppose -4*i - 1 = -5*i. Let j be 104/20 - i/5. Factor -j*r - 12 + 14*r**2 - 31*r - 12*r**2 - 29*r**2.
-3*(3*r + 2)**2
Let i(