et -d*x**j + 2/5*x**2 + 0*x - 1/5 + 0*x**3 = 0. Calculate x.
-1, 1
Let z(l) be the second derivative of 13*l**6/10 - 9*l**5/4 - 11*l**4/4 + 15*l**3/2 - 3*l**2 + 37*l + 2. Solve z(p) = 0 for p.
-1, 2/13, 1
Let n(s) be the second derivative of s**6/15 - 3*s**5/5 - 55*s**4/6 - 34*s. Factor n(c).
2*c**2*(c - 11)*(c + 5)
Let z be (4 - 5)*(1 + -7). Solve 58*b**3 - z*b**2 - 1 + 1 - 43*b**3 - 6*b**4 = 0.
0, 1/2, 2
Suppose i = -i + 4. Let c = 5933 + -17797/3. Determine n so that 0 + 4/3*n - c*n**i = 0.
0, 2
Let c(j) be the second derivative of j**9/9720 + j**8/3360 + j**7/5670 + 13*j**4/6 + 29*j. Let x(g) be the third derivative of c(g). Factor x(v).
2*v**2*(v + 1)*(7*v + 2)/9
Let f(r) be the third derivative of r**9/362880 - r**7/30240 + r**5/20 + 6*r**2. Let v(y) be the third derivative of f(y). Factor v(a).
a*(a - 1)*(a + 1)/6
Let v(u) = u + 2. Let l be v(5). Suppose 0*a**4 - 5*a**3 + 2 - l*a + 141*a**2 - 132*a**2 + a**4 = 0. Calculate a.
1, 2
Let o be 300/(-38) - (-13 - (-80)/16). Factor 6/19*l**5 + 0 + 10/19*l**4 + 0*l + o*l**3 - 2/19*l**2.
2*l**2*(l + 1)**2*(3*l - 1)/19
Let t(a) be the second derivative of a**8/2240 - a**6/80 + a**5/20 + 5*a**4/4 + 32*a. Let z(n) be the third derivative of t(n). Factor z(b).
3*(b - 1)**2*(b + 2)
Let q be (-1)/(12/(-210) + 1/5). Let m = 12 + q. Suppose 10/3*s**3 + 5/3*s + 1/3 + 5/3*s**4 + 1/3*s**m + 10/3*s**2 = 0. Calculate s.
-1
Let c(w) be the first derivative of 7*w**5/80 - w**4/2 + w**3/2 + 5*w**2/2 - 7. Let o(q) be the second derivative of c(q). What is b in o(b) = 0?
2/7, 2
Let r(k) = -5*k**2. Suppose -d + 4*n + 2 = 0, 3*n = -5*d - 0*n + 10. Let z(l) = -5*l**2 - l**2 + 4*l**d. Let w(b) = -4*r(b) + 9*z(b). Let w(h) = 0. Calculate h.
0
Factor -9*q - 3*q - 21*q - 3*q**2 + 0*q**2 + 6*q.
-3*q*(q + 9)
Let o be (32 + -7)*2/5. What is d in o + 20*d + 40*d**3 + 32*d**3 - 48*d**5 + 68*d**2 - 60*d**5 - 8 - 54*d**4 = 0?
-1/2, -1/3, 1
Suppose 0 = u + 2*u. Let p be (1 - -2) + (u - -6). Find n, given that -7*n**3 + n + 4*n**3 - 7*n + 0*n - p*n**2 = 0.
-2, -1, 0
Suppose -m = -0*m. Suppose m = -5*z + 2*z. Factor z*u - u - 4 + 2*u**2 + 2 + u**3.
(u - 1)*(u + 1)*(u + 2)
Let l(n) = -5*n - 126. Let a be l(-26). Suppose -3*f - 22 = -5*z, a*f = -3*z - 21 + 11. Factor 0 - 2/3*p**z + 2*p.
-2*p*(p - 3)/3
Suppose 417*g = 423*g - 12. Factor 2/3*b**3 + 4/15*b**g + 0*b - 14/15*b**4 + 0.
-2*b**2*(b - 1)*(7*b + 2)/15
Let i(y) be the second derivative of y**4/3 - 44*y**3/3 + 42*y**2 - 8*y - 1. Determine p, given that i(p) = 0.
1, 21
Let m(l) be the second derivative of -2 - 2/7*l**2 - 1/14*l**4 - 17*l - 5/21*l**3. Factor m(f).
-2*(f + 1)*(3*f + 2)/7
Let k(b) be the second derivative of 0 - 2/105*b**6 - 11*b + 0*b**2 + 0*b**4 + 0*b**3 + 0*b**5. Find j, given that k(j) = 0.
0
Factor 6*l - 19*l - 3*l**2 + 6*l**2 - 18 - 2*l.
3*(l - 6)*(l + 1)
Let m(z) be the second derivative of -z**8/6720 - z**7/2520 + z**6/180 + z**5/30 - 5*z**4/12 - 2*z. Let f(a) be the third derivative of m(a). Factor f(o).
-(o - 2)*(o + 1)*(o + 2)
Let p(z) be the first derivative of 2*z**3/21 + 6*z**2 + 126*z - 30. Factor p(i).
2*(i + 21)**2/7
Let o be 60/300 - -3*111/135. Find d such that -4/3*d**4 + 0*d**2 + 8/3*d**3 - o*d + 4/3 = 0.
-1, 1
Let i = -639/2 + 321. Let o(n) be the first derivative of 2/3*n**2 + 1/9*n**6 + 0*n + i*n**4 + 5 - 14/9*n**3 - 2/3*n**5. Factor o(a).
2*a*(a - 2)*(a - 1)**3/3
Let r = 1686 + -3371/2. Find i such that -r*i**2 - 1/2 - i = 0.
-1
Factor 9 + 1/3*r**2 - 28/3*r.
(r - 27)*(r - 1)/3
Let v(t) = -t**3 - t**2 - 1. Let c(i) be the second derivative of 2*i**5/5 - 4*i**4/3 + 16*i**3/3 - 6*i**2 - 15*i. Let x(p) = c(p) + 4*v(p). Factor x(n).
4*(n - 2)**2*(n - 1)
Let f(v) = -v**3 + 2*v**2 + 5*v - 2. Let x be 4 - 2*(4 + -3). Let i(g) = 0*g**3 + x*g - g - 1 + 2*g**2 - g**2 + g**3. Let n(a) = -f(a) + 2*i(a). Factor n(m).
3*m*(m - 1)*(m + 1)
Let r(s) = -9*s**2 - 7*s - 27. Let g(x) = -5*x**2 - 3*x - 14. Let j(m) = 7*g(m) - 4*r(m). Factor j(v).
(v + 2)*(v + 5)
Let f(d) be the first derivative of d**6/15 + 17*d**5/25 + 11*d**4/5 + 10*d**3/3 + 13*d**2/5 + d - 320. Determine g, given that f(g) = 0.
-5, -1, -1/2
Let -42*r - 421*r**2 - 107*r + 547*r**2 + 42 - 4*r - 15*r**3 = 0. Calculate r.
2/5, 1, 7
Suppose 4*l + 3*w + 1 = 0, -438*w = -l - 441*w - 7. Suppose 0 + 3/5*d**l - 12/5*d = 0. What is d?
0, 4
Let f(o) be the first derivative of -o**4/96 + o**3/48 - 10*o + 3. Let s(j) be the first derivative of f(j). Factor s(h).
-h*(h - 1)/8
Let h(o) = -20*o**3 - 31*o**2 + 12*o. Let j(c) = -9*c**3 - 15*c**2 + 6*c. Let q(u) = 6*h(u) - 13*j(u). Determine a so that q(a) = 0.
0, 1, 2
Let k = -145 - -147. Let g(h) be the third derivative of -1/80*h**6 + 1/80*h**5 - 3*h**k + 0 + 0*h - 1/280*h**7 + 0*h**3 + 1/16*h**4. Factor g(r).
-3*r*(r - 1)*(r + 1)*(r + 2)/4
Let x be ((-9)/4*76/(-342))/((-2)/(-16)). Let p = 16 - 29/2. Factor 0 + t**2 + p*t**x + 5/2*t**3 + 0*t.
t**2*(t + 1)*(3*t + 2)/2
Let s(o) be the second derivative of -1/3*o**3 - 1/6*o**4 - 21*o + 0*o**2 + 0 + 1/15*o**6 + 1/10*o**5. Solve s(d) = 0 for d.
-1, 0, 1
Let s(l) be the third derivative of l**6/360 + l**5/480 - 3*l**3 - 10*l**2. Let r(k) be the first derivative of s(k). Find i such that r(i) = 0.
-1/4, 0
Let u(a) = a**3 + 2*a**2 - 2*a. Let t(s) = s**3 - 5*s**2 - 18*s. Let o(f) = 3*t(f) - 6*u(f). Factor o(c).
-3*c*(c + 2)*(c + 7)
Let f(l) be the first derivative of 5/2*l**2 - 4/3*l**3 + 8 - l. Find j, given that f(j) = 0.
1/4, 1
Let h(g) = 54*g**2 + 540*g + 4. Let x be h(-10). Solve -24/11*i**x + 0 + 14/11*i**5 + 8/11*i + 24/11*i**2 - 2*i**3 = 0.
-1, -2/7, 0, 1, 2
Find j such that -8/7*j**3 - 6/7*j**2 + 2/7*j**4 + 0 + 36/7*j = 0.
-2, 0, 3
Let m(a) be the second derivative of -a**6/24 + 7*a**5/12 - 55*a**4/24 + 25*a**3/6 + 13*a**2/2 + 11*a. Let h(q) be the first derivative of m(q). Factor h(v).
-5*(v - 5)*(v - 1)**2
Let i(u) = -25*u**2 + 300*u - 220. Let a(h) = 4 - 13 - 8 + 23*h - 2*h**2. Let t(o) = 40*a(o) - 3*i(o). Factor t(f).
-5*(f - 2)**2
Let f(q) be the third derivative of q**5/60 - 3*q**4/8 + 7*q**3/3 - 248*q**2 - 2. Factor f(o).
(o - 7)*(o - 2)
Let u(w) = -w**3 + 12*w**2 - w + 2. Let a(t) = -6*t**3 + 76*t**2 - 5*t + 13. Let v(y) = -6*a(y) + 39*u(y). Factor v(o).
-3*o*(o - 3)*(o - 1)
Let s(d) be the second derivative of d**6/70 + 3*d**5/70 + d**4/28 + 111*d. Solve s(o) = 0.
-1, 0
Suppose 0 + 6/5*u + 2*u**3 + 14/5*u**2 + 2/5*u**4 = 0. What is u?
-3, -1, 0
Let q(o) be the first derivative of -2*o**5/75 + 4*o**4/15 - 4*o**3/5 + 16*o**2/15 - 2*o/3 + 129. Factor q(z).
-2*(z - 5)*(z - 1)**3/15
Let o(a) be the first derivative of a**4/20 + a**3/5 + 117. Solve o(c) = 0.
-3, 0
Let k(t) be the first derivative of 4*t**3/3 + 212*t**2 + 11236*t - 144. Determine d, given that k(d) = 0.
-53
Let z(n) be the third derivative of -n**7/840 - 59*n**6/240 - 1199*n**5/80 - 1711*n**4/24 - 841*n**3/6 - 299*n**2. Factor z(l).
-(l + 1)**2*(l + 58)**2/4
Let o = 32 + -29. Let q(n) = -n**3 + 5*n**2 - 5*n + 6. Let u be q(4). Let -7*a**u - a**o + 16*a**3 + a**2 + 21*a**4 = 0. What is a?
-1, 0, 2/7
Let g(n) be the third derivative of n**6/660 + n**5/165 - n**4/132 - 2*n**3/33 + n**2 - 211. What is w in g(w) = 0?
-2, -1, 1
Let k be (3 - (0 - -1)) + 13. Suppose 13 + 17 = k*h. Find z, given that -25/3*z + 5/3*z**h + 10 = 0.
2, 3
Determine j so that 0 + 44/7*j**2 + 8/7*j + 12*j**3 + 64/7*j**4 + 16/7*j**5 = 0.
-2, -1, -1/2, 0
Factor -10*x**2 - 24*x**3 - 22*x**2 + 41*x**4 - 45*x**4.
-4*x**2*(x + 2)*(x + 4)
Let n be (12/(-10))/(11/(-55)). Factor -10 + 37*w + 0*w**3 - 2*w**3 - 48*w - n*w**2 + 29*w.
-2*(w - 1)**2*(w + 5)
Let j(w) be the third derivative of 0 + 0*w - 11*w**2 + 1/42*w**3 + 1/56*w**4 + 1/210*w**5. Factor j(b).
(b + 1)*(2*b + 1)/7
Let f(p) be the second derivative of 17*p + 0*p**3 - p**2 + 1/24*p**4 + 0. Solve f(i) = 0.
-2, 2
Let x(r) be the first derivative of 2*r**3/21 - 15*r**2/7 + 134. Factor x(d).
2*d*(d - 15)/7
Let m(o) be the second derivative of -o**7/560 - o**6/144 + o**5/120 + 5*o**3/6 - 36*o. Let b(t) be the second derivative of m(t). Let b(x) = 0. What is x?
-2, 0, 1/3
Suppose -6*o + 16 = -7*o + 5*o. Let i be ((-2)/5)/(1/(-5)). Factor 0*p + 2/5*p**o + p**3 + 0 - 3/5*p**i.
p**2*(p + 3)*(2*p - 1)/5
Let r(q) be the third derivative of 1/120*q**5 - 1/8*q**4 + 0 + 5/12*q**3 + 12*q**2 + 0*q. Find m, given that r(m) = 0.
1, 5