Let 22/15*d + 2/15*d**3 - 14/15*d**2 - 2/3 = 0. Calculate d.
1, 5
Let g be -1 + -2 + 5 + 2. Let w(b) be the first derivative of 1 + 8*b - g*b**2 + 2/3*b**3. Factor w(z).
2*(z - 2)**2
Let r(u) = -u**2 + u. Let l(f) = -f**3 + 8*f**2 - 7*f. Let v(n) = 2*l(n) + 18*r(n). Factor v(j).
-2*j*(j - 1)*(j + 2)
Let z(u) = u**2 - 7*u + 3. Let b be z(7). Factor -3*a**b + 6*a**2 + 467*a - 467*a.
-3*a**2*(a - 2)
Factor 1/5*d**2 - d + 4/5.
(d - 4)*(d - 1)/5
Let d(y) be the first derivative of -y**5/15 + y**4/12 + y**3/3 - 5*y**2/6 + 2*y/3 + 1. Factor d(x).
-(x - 1)**3*(x + 2)/3
Suppose -6 = 5*v - 21. Let p(f) be the second derivative of -1/12*f**4 + 4*f - f**2 - 1/2*f**v + 0. Factor p(t).
-(t + 1)*(t + 2)
Let k(u) = -3*u**2 - 73*u - 648. Let w(j) = j**2 + j. Let b(c) = -k(c) - w(c). Find m, given that b(m) = 0.
-18
Find c, given that -50*c + 8 + 101*c - 39*c + c**3 + 6*c**2 = 0.
-2
Suppose -4*f - 11 + 27 = 0. Suppose 0 = -f*o + 2 + 10. What is t in -t**2 - t**2 - o + 5 = 0?
-1, 1
Let j(h) be the second derivative of h**5/60 - h**3/6 - h**2/3 - 6*h. Suppose j(k) = 0. What is k?
-1, 2
Suppose 0 = -i + 2*i - 7. Suppose -4*r + 4*u - i*u + 15 = 0, -4*r + 4*u = -8. Factor -6*l - 3*l**2 + 0*l**r - 3*l**2 - 2*l**3 - 2.
-2*(l + 1)**3
Factor 8/7*f**3 - 6/7*f**2 - 4/7 - 18/7*f.
2*(f - 2)*(f + 1)*(4*f + 1)/7
Let f(h) = 2*h**2 + 12*h + 4. Let c(m) = -4*m**2 - 23*m - 8. Let i be ((-3)/3)/(1/11). Let v(b) = i*f(b) - 6*c(b). Determine x, given that v(x) = 0.
-2, -1
Let c(h) = h**3 - 4*h**2 + 2*h - 3. Let y be c(3). Let l be 2/y - 39/(-9). Find o such that 9*o**2 - o**4 - 2*o**4 + l*o - 10*o = 0.
-2, 0, 1
Let k be (-2)/9*(42/(-3) + 5). What is i in 1 + k*i**2 - 5/2*i - 1/2*i**3 = 0?
1, 2
Let k(c) be the third derivative of -c**7/42 - c**6/12 + 24*c**2 + 2*c. Solve k(z) = 0.
-2, 0
Let i(j) = -100*j**3 - 505*j**2 - 1385*j - 1440. Let t(f) = 11*f**3 + 56*f**2 + 154*f + 160. Let w(g) = 6*i(g) + 55*t(g). What is m in w(m) = 0?
-4, -2
Let g(f) be the third derivative of -f**7/70 + f**5/10 - f**3/2 - 3*f**2. Factor g(u).
-3*(u - 1)**2*(u + 1)**2
Let f(t) be the second derivative of 2*t**7/21 - 8*t**6/15 + 5*t**5/4 - 19*t**4/12 + 7*t**3/6 - t**2/2 + 5*t. Suppose f(n) = 0. What is n?
1/2, 1
Let n be (6/4)/((-18)/(-4)). Factor -1/3*g - n*g**2 + 0.
-g*(g + 1)/3
Solve -6*g**2 - 11*g**4 + 23*g**4 - 10*g**4 + 4*g = 0.
-2, 0, 1
Let j = 1 - 3. Let p be j/((-3)/((-24)/(-28))). Let -4/7*d**2 - 2/7*d + 2/7*d**3 + p = 0. Calculate d.
-1, 1, 2
Suppose -h + 0 - 3 = 0. Let y be (-5)/2 + (0 - h). What is k in 0*k**3 + k**4 + 1/2*k + 0 - k**2 - y*k**5 = 0?
-1, 0, 1
Let c = -1 - -3. Let v be (2/c)/((-2)/(-16)). Find p, given that 8*p**2 + 4*p**4 + 16*p**3 - v*p + 3*p**3 - 5*p**3 = 0.
-2, 0, 1/2
Let v(j) = -47*j**3 + 91*j**2 - 31*j - 3. Let b(z) = z**3 - z**2 + z + 1. Let k(p) = 5*b(p) - v(p). Factor k(d).
4*(d - 1)**2*(13*d + 2)
Let x(c) = -c**5 + 4*c**4 - c**3 + 6*c**2 + 6*c - 6. Let n(m) = -m**2 + m**4 - 3*m - 2*m**4 - 1 + 2*m + 2. Let r(j) = 6*n(j) + x(j). Factor r(v).
-v**3*(v + 1)**2
Let d(b) be the second derivative of -b**6/10 - 9*b**5/10 - 11*b**4/4 - 3*b**3 + 49*b. Factor d(v).
-3*v*(v + 1)*(v + 2)*(v + 3)
Suppose 3*x = -x. Factor 0*f**2 - f**2 - f**3 + x*f**3 + 2*f**2.
-f**2*(f - 1)
Factor 0*k + 4/7*k**3 - 4/7*k**2 + 0 - 1/7*k**4.
-k**2*(k - 2)**2/7
Let n be 4/40*-2 + 49/70. Determine a, given that 1/2 + 0*a - n*a**2 = 0.
-1, 1
Suppose -4*c = -5*t - 30, -t - 3*t - 8 = 0. Suppose c + 5 = 2*q. Factor -2*y**2 - 1 - q + 4 + 4*y**2.
2*(y - 1)*(y + 1)
Suppose 0*o**2 - 2/17*o + 4/17*o**3 - 2/17*o**5 + 0*o**4 + 0 = 0. Calculate o.
-1, 0, 1
Suppose 0 = 3*q - 5*b + 6 + 19, -5*b + 25 = 4*q. Factor 0 - 2/7*x**2 + 0*x + q*x**3 + 2/7*x**4.
2*x**2*(x - 1)*(x + 1)/7
Suppose -6*j + 4*j + 69 = 3*a, 0 = 4*j + 2*a - 126. Suppose -3*x = -3*v + j, 2*v + 18 = 5*v + x. Factor -2*h + v*h + h**2 - 5*h.
h**2
Let d(s) be the third derivative of -7*s**6/40 - 3*s**5/5 - 3*s**4/8 + s**3 + 6*s**2. Find u such that d(u) = 0.
-1, 2/7
Suppose 52 = -q + 54. Let j(i) be the second derivative of -3/2*i**q + 3/5*i**5 + 2*i**3 + i - 1/10*i**6 - 3/2*i**4 + 0. Factor j(r).
-3*(r - 1)**4
Let c(x) be the first derivative of -x**5/100 - x**4/60 + x**3/30 + x**2/10 - 3*x + 4. Let d(p) be the first derivative of c(p). Factor d(m).
-(m - 1)*(m + 1)**2/5
Let s(c) be the first derivative of 11/3*c**2 - 2/3*c**4 - 4/3*c - 7/9*c**6 + 9 - 28/9*c**3 + 32/15*c**5. Suppose s(u) = 0. What is u?
-1, 2/7, 1
What is p in -p**2 - 3*p**2 - p**2 + 16*p - 32 + 3*p**2 = 0?
4
Factor -8/19 + 2/19*u**2 + 0*u.
2*(u - 2)*(u + 2)/19
Let g = 37561/60 - 626. Let y(w) be the second derivative of g*w**4 + 1/100*w**5 + 0*w**3 - w + 0 + 0*w**2. Solve y(v) = 0 for v.
-1, 0
Find y, given that -4/3 - y + 1/3*y**2 = 0.
-1, 4
Let w(j) be the third derivative of j**7/105 + 11*j**6/540 - 7*j**5/270 - 11*j**4/108 - 2*j**3/27 - 4*j**2. Let w(o) = 0. Calculate o.
-1, -2/9, 1
Factor 28/5*n - 2/5*n**2 - 98/5.
-2*(n - 7)**2/5
Let o = -5/2 - -11/4. Let u(b) be the second derivative of -1/60*b**6 + 4*b + 0 - 1/10*b**5 - 1/4*b**4 - o*b**2 - 1/3*b**3. Find t, given that u(t) = 0.
-1
Let b(s) be the second derivative of s**5/120 - s**4/24 - s**3/4 + 3*s**2 - 4*s. Let v(r) be the first derivative of b(r). Suppose v(g) = 0. Calculate g.
-1, 3
Let d(x) = x**4 + 6*x**3 + 4*x**2 - 36*x + 4. Let u(l) = -l**4 - 6*l**3 - 5*l**2 + 37*l - 5. Let z(i) = 5*d(i) + 4*u(i). Factor z(f).
f*(f - 2)*(f + 4)**2
Let j(i) be the second derivative of -i**8/3360 + i**4/12 + 2*i. Let z(o) be the third derivative of j(o). Factor z(f).
-2*f**3
Let a(v) = -11*v**2 - 36*v - 8. Let f(m) = -12*m**2 - 36*m - 8. Let o(w) = -4*a(w) + 5*f(w). Find g such that o(g) = 0.
-2, -1/4
Let m(l) be the third derivative of 1/30*l**6 - 6*l**2 + 0*l - 2/15*l**5 + 0*l**3 + 0 + 1/6*l**4. Find n, given that m(n) = 0.
0, 1
Let h(t) be the second derivative of -t**5/160 + t**4/32 - t**3/24 + 5*t. Determine w, given that h(w) = 0.
0, 1, 2
Let z be -7*((-15)/35 + (-6)/21). Factor -4/3*n**3 + 0*n**4 + 0*n**2 + 0 + 2/3*n**z + 2/3*n.
2*n*(n - 1)**2*(n + 1)**2/3
What is o in -2*o**4 - 10*o**3 + 1 + 10*o**5 - 5*o + 10*o**2 + 7*o**4 - 11*o**5 + 0*o**4 = 0?
1
Let p(l) = 13*l - 76. Let z be p(6). Factor 2/7*a**3 + 4/7*a + 5/7*a**z + 1/7.
(a + 1)**2*(2*a + 1)/7
Let k(f) = -7*f**4 + 41*f**3 + 80*f**2 - 87*f - 9. Let b(u) = -2*u**4 + 10*u**3 + 20*u**2 - 22*u - 2. Let w(h) = 9*b(h) - 2*k(h). Find z, given that w(z) = 0.
-2, 0, 1, 3
Let x(r) = 3*r**4 + 60*r**3 + 21*r**2 - 18*r - 18. Let f(z) = -z**4 - 17*z**3 - 6*z**2 + 5*z + 5. Let p(u) = 18*f(u) + 5*x(u). Factor p(q).
-3*q**2*(q + 1)**2
Factor -6*a**4 - 11*a**2 + 2*a - 6*a - a**2 + 9*a**5 - 10*a**5 - 13*a**3.
-a*(a + 1)**2*(a + 2)**2
Let u = 7051 - 49249/7. Factor -u*o + 54/7 + 2/7*o**4 - 20/7*o**3 + 72/7*o**2.
2*(o - 3)**3*(o - 1)/7
Factor 2/13*h**3 + 8/13*h - 8/13*h**2 + 0.
2*h*(h - 2)**2/13
Let j(u) be the third derivative of u**8/33600 + u**5/60 - 3*u**2. Let s(t) be the third derivative of j(t). Solve s(f) = 0.
0
Let d(l) be the second derivative of l**5/30 - l**4/18 - 4*l. Factor d(j).
2*j**2*(j - 1)/3
Let x be (-257)/(33/6 + -2). Let g = x - -74. Find w, given that -g + 2/7*w + 2/7*w**2 = 0.
-2, 1
Factor 3*x**2 + 137*x + 3 + 3 - 146*x.
3*(x - 2)*(x - 1)
Let i(r) be the second derivative of r**4/8 - r**3/4 - 3*r. Determine l so that i(l) = 0.
0, 1
Let k(p) = 2*p**2 - p - 1. Let w be k(-1). Suppose -5*l + 7 - 5 = h, -w*l - 6 = -3*h. Factor 2/3*t**4 + 0*t**2 + 0*t + l - 2/3*t**3 + 4*t**5.
2*t**3*(2*t + 1)*(3*t - 1)/3
Let g(y) = -2*y**3 - 2*y - 1. Let q be g(-2). Suppose 3*w + q = 3*n + 2*n, 0 = -2*n + w + 8. Factor 3*k**2 - k**4 - k**3 + k**n + 0*k**4 - 2*k**2.
k**2*(k - 1)**2*(k + 1)
Let w(k) be the third derivative of -k**9/12096 + k**8/6720 + k**7/2520 - k**5/30 + 3*k**2. Let l(v) be the third derivative of w(v). Factor l(s).
-s*(s - 1)*(5*s + 2)
Let s(r) = 33*r**3 - 3*r**2 - 57*r. Let i(y) = -8*y**3 + y**2 + 14*y. Let a(m) = 21*i(m) + 5*s(m). Suppose a(o) = 0. Calculate o.
-1, 0, 3
Let f(z) be the first derivative of -8*z**5/85 + 13*z**4/34 + 2*z**3/51 - 13*z**2/17 + 6*z/17 - 5. Let f(l) = 0. Calculate l.
-1, 1/4, 1, 3
Let m(v) be the second derivative of v**6/15 + 2*v**5/5 + v**4/2 - 8*v. Find q such that m(q) = 0.
-3, -1, 0
Factor 1/4 + 1/2*l + 1/4*l**2.
(l + 1)**2/4
Let i(d) be the 