15*q(g) + 3*s(g). Factor w(v).
3*(v + 1)**2*(v + 3)*(7*v - 2)
Let o be ((-20)/(-25))/(2/5). Factor -4*f + 2/3 + 6*f**o.
2*(3*f - 1)**2/3
Let v(r) be the first derivative of -r**7/350 - r**6/200 + r**2 - 9. Let o(t) be the second derivative of v(t). Factor o(k).
-3*k**3*(k + 1)/5
Let j(m) be the second derivative of m**8/1008 - m**7/315 + m**6/360 - 3*m**2/2 - 4*m. Let g(p) be the first derivative of j(p). Factor g(k).
k**3*(k - 1)**2/3
Find f such that -7*f**3 + 67*f**2 - 20*f**4 + 55*f**3 - 24*f - 23*f**2 + 0*f**4 = 0.
-1, 0, 2/5, 3
Let s = -349/6 + 176/3. Factor -1/4*u**4 + 1/4*u - s + 3/4*u**2 - 1/4*u**3.
-(u - 1)**2*(u + 1)*(u + 2)/4
Let n(o) be the second derivative of -o**5/50 - 2*o**4/5 - 12*o**3/5 + 20*o. Factor n(z).
-2*z*(z + 6)**2/5
Let o(r) be the second derivative of 0 - 2*r + 0*r**3 - 1/120*r**5 + r**2 + 1/24*r**4. Let g(x) be the first derivative of o(x). Factor g(k).
-k*(k - 2)/2
Let n(o) be the first derivative of o**4/2 - 2*o**3 + 3*o**2 - 2*o + 16. Factor n(c).
2*(c - 1)**3
Let i = -1 + 4. Let b(j) = -j + 5. Let r be b(-4). Let 0*t**i + 2*t**3 - 6*t**5 + r*t**4 + 13*t**5 = 0. What is t?
-1, -2/7, 0
Let l(y) be the third derivative of y**5/160 - 5*y**4/64 + 3*y**3/8 - 18*y**2. Factor l(j).
3*(j - 3)*(j - 2)/8
Let m(i) = i**2 + 3*i + 3. Let s be m(-3). Let o be (0 + -2 - 0)*-2. Factor -s*g - 6*g**2 - 2*g**o + 4*g + g + 6*g**3.
-2*g*(g - 1)**3
Suppose -3*t + 4*l - 27 = -8*t, 0 = -t + 2*l - 3. Suppose -7 = -t*v + 2. Factor n + n**4 + 2*n**3 - 3*n**4 - 2*n**2 + 4*n**4 - v*n.
2*n*(n - 1)*(n + 1)**2
Let y(x) be the third derivative of 0 - 1/12*x**4 - 2/15*x**3 + 2*x**2 - 1/300*x**6 + 0*x - 2/75*x**5. Factor y(c).
-2*(c + 1)**2*(c + 2)/5
Let k(f) be the third derivative of -f**7/1155 + f**6/330 - f**5/330 + 4*f**2 - 3*f. Solve k(j) = 0.
0, 1
Let f = 22 + -26. Let b be f + -29*3/(-15). Solve 6/5 - 12/5*c**2 + 9/5*c + 6/5*c**4 - 18/5*c**3 + b*c**5 = 0.
-1, -2/3, 1
Let z(b) = 20*b**3 + 24*b**2 + 16*b. Let v(h) = 4*h**3 + 5*h**2 + 3*h. Let k(r) = 16*v(r) - 3*z(r). Solve k(p) = 0.
-2, 0
Let c(u) be the second derivative of -7*u**4/60 + u**3/15 + 57*u. Let c(v) = 0. What is v?
0, 2/7
Let l(u) be the first derivative of u**5/10 + u**4/3 + 4*u - 1. Let m(x) be the first derivative of l(x). Factor m(b).
2*b**2*(b + 2)
Let m(v) be the second derivative of v**7/231 + 2*v**6/165 - 3*v**5/110 - 39*v. Determine n, given that m(n) = 0.
-3, 0, 1
Let v(a) = a**3 + 8*a**2 - 9*a - 5. Let s(b) = 2*b**3 + 8*b**2 - 10*b - 6. Let l = -6 + 11. Let f(n) = l*s(n) - 6*v(n). Factor f(x).
4*x*(x - 1)**2
Let c be (-26)/(-39)*3/55. Let i(m) be the first derivative of -2/33*m**3 + 2 + 0*m + 0*m**2 - c*m**5 + 1/11*m**4. Factor i(u).
-2*u**2*(u - 1)**2/11
Let h(z) be the second derivative of -2*z - 1/6*z**3 + 0*z**2 + 1/20*z**5 - 1/12*z**4 + 0 + 1/30*z**6. Determine b, given that h(b) = 0.
-1, 0, 1
Let z = 51141 - 360370/7. Let a = z + 341. Let 0 + 0*x**4 - 2/7*x + a*x**3 - 2/7*x**5 + 0*x**2 = 0. Calculate x.
-1, 0, 1
Factor -12/7*z**2 + 3*z + 1/7*z**3 - 10/7.
(z - 10)*(z - 1)**2/7
Let u(d) be the first derivative of -d**3/9 + d**2/3 - 3. Factor u(r).
-r*(r - 2)/3
Let c(g) = g**3 - 6*g**2 + 5*g + 2. Let z be c(5). Solve -7*m**3 + 8*m**3 + 2*m**z + 2*m - m = 0 for m.
-1, 0
Let b = -19 - -35. What is c in c**4 - 2*c**2 + 12*c**3 - 3 - 5*c**4 - b*c**2 + c**4 + 12*c = 0?
1
Let z be (-2)/(3 - 43/15). Let l(p) = p**3 + p. Let x(h) = 12*h**3 + 15*h. Let g(n) = z*l(n) + x(n). Determine o so that g(o) = 0.
0
Let j(d) be the first derivative of 7*d**6/6 + 12*d**5/5 - d**4 + 5. Suppose j(s) = 0. What is s?
-2, 0, 2/7
Let r(z) be the third derivative of -1/6*z**4 + 0*z**3 + 0*z - z**2 + 0 + 1/30*z**5. Factor r(n).
2*n*(n - 2)
Let z(p) be the first derivative of p**6/600 - p**4/120 + 2*p**2 - 2. Let d(u) be the second derivative of z(u). Factor d(t).
t*(t - 1)*(t + 1)/5
Let q(p) be the second derivative of 5*p**7/357 - 13*p**6/255 + 3*p**5/85 + 5*p**4/51 - 11*p**3/51 + 3*p**2/17 + 20*p. Solve q(i) = 0.
-1, 3/5, 1
Let t(i) be the first derivative of i**6/10 - 6*i**5/25 + 2*i**3/5 - 3*i**2/10 + 6. Factor t(u).
3*u*(u - 1)**3*(u + 1)/5
Suppose 0 = 9*a - 4 + 4. Find g such that -1/4*g**3 + a - 1/2*g**2 - 1/4*g = 0.
-1, 0
Let m = 0 - 3. Let c be (-11)/m + 9/(-3). Suppose 2/3*l**3 + 0 + 0*l - c*l**4 - 2/3*l**5 + 2/3*l**2 = 0. Calculate l.
-1, 0, 1
Let x be 190/25 - (-4)/10. Let b(c) = -3*c**2 - 18*c - 27. Let u(y) = -9*y**2 - 54*y - 81. Let q(p) = x*b(p) - 3*u(p). Factor q(s).
3*(s + 3)**2
Let t(m) = -11*m**4 - 5*m**3 - 4*m + 2. Let q(b) = 5*b**4 + 2*b**3 + 2*b - 1. Let y(r) = 9*q(r) + 4*t(r). Let y(d) = 0. What is d?
-1, 1
Let r = -19 + 33. Let a be 84/r*(-2)/(-27). Find j, given that 2/9*j + a - 2/9*j**2 = 0.
-1, 2
Let u be 1/(-3)*(-1 - (-36)/(-4)). Find n, given that -2/3*n**3 - 4/3 - 8/3*n**2 - u*n = 0.
-2, -1
Let p(l) be the third derivative of l**6/480 + l**5/48 + l**4/12 + l**3/6 + 13*l**2. Factor p(a).
(a + 1)*(a + 2)**2/4
Let n(v) = v**5 - 3*v**4 + 6*v**3 + 3*v**2 - 7*v. Let u(o) = o**5 - 3*o**4 + 7*o**3 + 3*o**2 - 8*o. Let a(c) = -6*n(c) + 5*u(c). Suppose a(d) = 0. Calculate d.
-1, 0, 1, 2
Let k(n) = -n**2 + 7*n + 11. Suppose -2*p - 42 = -5*b, -4*b + 3*p + 28 = -7. Let o be k(b). Factor 4*i**o + i**4 - 4*i**3 + 5*i**3 - 9*i**2 + 2 + 6*i**4 - 5*i.
(i - 1)*(i + 1)**2*(7*i - 2)
Suppose 0*n - 3*n - 10 = -2*h, 0 = 2*h - 5*n - 10. What is r in 0*r**2 + h*r - r**2 - 4*r = 0?
0, 1
Let w be (-2)/4*(-76)/2. Suppose -i + w = 4*p, -4*i - p = 7 - 23. Factor 7*o**i - 2*o**3 - 4*o**3.
o**3
Factor -3*m**2 + 4*m + 194 - 194 + 4*m**2.
m*(m + 4)
Suppose f - 8 = -3*b, -4*b + 0*b + f = -6. Suppose -5*u**2 - 2*u**3 - u**3 + u**b + u**3 + 6*u = 0. What is u?
-3, 0, 1
Factor 6*f + 1/3*f**2 + 27.
(f + 9)**2/3
Determine t, given that -3/2*t - 7/2*t**2 + 0 - 5/2*t**3 - 1/2*t**4 = 0.
-3, -1, 0
Suppose 11*h = 24 - 2. What is x in 4/7*x - 10/7*x**2 + 0 - h*x**3 = 0?
-1, 0, 2/7
Let p(o) be the second derivative of 0 + 0*o**2 - 1/110*o**5 + o + 0*o**4 + 1/33*o**3. Factor p(q).
-2*q*(q - 1)*(q + 1)/11
Suppose 0 = -2*h - 3*h + 10. Suppose -a = 4*a, -z + a = -2. Determine o, given that 2*o**5 - 4*o**3 - 1 + 2*o + 1 + h + z*o**4 - 4*o**2 = 0.
-1, 1
Let x = 14 - 10. Suppose -4*k = -9*k + 15. Find i, given that 16*i**x + 14*i + 4 - 6*i**5 - 14*i**2 + 2*i**2 - 8 - 8*i**k = 0.
-1, 2/3, 1
Let c = 8 - 6. Let z(x) = -10*x**2 - 7*x**3 + 4*x**3 + 5*x**3 + 6*x. Let h(k) = -k**3 - k + 1. Let f(l) = c*h(l) - z(l). Find q, given that f(q) = 0.
1/2, 1
Let g(l) = -l**2 - l - 4. Let h(p) = -6*p**2 - 4*p - 15. Let z(w) = 3*w**2 + 2*w + 7. Let m(j) = 4*h(j) + 7*z(j). Let u(n) = -8*g(n) + 3*m(n). Factor u(x).
-(x - 1)**2
Let x(y) = -y + 2. Let z be x(0). Factor 16*d + z - d**2 - 1 - 16*d.
-(d - 1)*(d + 1)
Let b(i) be the first derivative of -i**7/840 + i**6/120 - i**5/120 - i**4/24 + i**3/8 - 3*i**2 - 8. Let f(x) be the second derivative of b(x). Factor f(a).
-(a - 3)*(a - 1)**2*(a + 1)/4
Let g = -228898/5 - -46059. Let d = 281 - g. Factor -d - 18/5*q**2 + 24/5*q.
-2*(3*q - 2)**2/5
Let o(f) be the second derivative of 2*f**7/21 + 8*f**6/15 + 3*f**5/5 - 4*f**4/3 - 8*f**3/3 - 21*f. Suppose o(i) = 0. What is i?
-2, -1, 0, 1
Let g(b) = -23*b**2 - 7*b - 10. Let y(i) = 11*i**2 + 4*i + 5. Let j(c) = -6*g(c) - 13*y(c). Suppose j(v) = 0. Calculate v.
-1
Solve 1 + 2*k**3 - 6 + 5 + 2*k**2 = 0 for k.
-1, 0
Let c(h) be the second derivative of h**4/18 + 5*h**3/18 - h**2/2 + 2*h. Factor c(q).
(q + 3)*(2*q - 1)/3
Suppose -4*y + 12 = 3*x - 201, -4*y + 4*x + 192 = 0. Let l be y/135 + 6/27. Suppose 3/5*w**3 + 0*w**4 - l*w**5 + 0*w**2 + 0*w + 0 = 0. Calculate w.
-1, 0, 1
Let q = 1589/12 + -179/4. Let l = -87 + q. Determine n so that -l*n**2 + 2/3 - 2/3*n**3 + 2/3*n = 0.
-1, 1
Let p = 408/5 + -3662/45. Suppose -10/9*h**2 - p*h**3 - 14/9*h - 2/3 = 0. Calculate h.
-3, -1
Let c(w) = 2*w**2 - 3*w + 3. Let i(r) be the first derivative of -r**3/3 + r**2 - 2*r - 2. Let d(p) = -2*c(p) - 3*i(p). Suppose d(u) = 0. What is u?
0
Let s(t) be the third derivative of t**9/10584 - t**8/11760 - t**4/24 - t**2. Let z(k) be the second derivative of s(k). Factor z(g).
2*g**3*(5*g - 2)/7
Suppose 5 = -p - 4*p, 9 = 2*a - 5*p. Let u be a + -6 + 78/15. What is r in 3/5 + 6/5*r - 3/5*r**2 - u*r**3 = 0?
-1, -1/2, 1
Let l(h) be the third derivative of h**7/70 - h**6/20 +