= -m - 2*d + 2 + 4, 0 = 4*m + d - 45. Let u be 5/m - (-2)/8. Suppose -4/3*o + 4/3*o**3 + 2/3*o**4 - u + 0*o**2 = 0. Calculate o.
-1, 1
Let c(w) be the second derivative of -w**8/168 - w**7/105 - w**2/2 + 2*w. Let t(l) be the first derivative of c(l). Factor t(f).
-2*f**4*(f + 1)
Let u(x) be the second derivative of x + 0 + 5/2*x**2 + 1/8*x**4 + 0*x**3 - 1/20*x**5. Let n(w) be the first derivative of u(w). Factor n(s).
-3*s*(s - 1)
Let f(v) = -7*v**2 + 25*v - 50. Let m(h) = -h**2 + h. Let q(l) = f(l) - 5*m(l). Find s, given that q(s) = 0.
5
Suppose -5*q - 9 = 11. Let u = 30/7 + q. Find x, given that 4/7 - 6/7*x + u*x**2 = 0.
1, 2
Suppose -k = -4*k. Suppose g + g = k. Factor x**4 + 3*x**3 + g*x**4 + 2*x**2 + x**2 + x.
x*(x + 1)**3
Determine v so that -16*v**5 + 4*v**5 - 5*v**2 - v - 45*v**3 - 39*v**4 - 2*v - 16*v**2 = 0.
-1, -1/4, 0
Solve -4/7*n**3 + 0 + 10/7*n**2 - 10/7*n**4 + 4/7*n = 0 for n.
-1, -2/5, 0, 1
Let g(q) be the first derivative of -q**3/9 + q/3 + 5. Factor g(n).
-(n - 1)*(n + 1)/3
Let k(f) = 3*f**4 + 12*f**3 + 23*f**2. Let r(q) = 2*q**3 - 4*q**2 - 6*q**3 - 4*q**2 - q**4 + 0*q**3. Let x(u) = -4*k(u) - 11*r(u). Factor x(t).
-t**2*(t + 2)**2
Suppose -3*r = -15 + 6. Suppose 0 = -5*z + 4*c - c + 1, z = r*c - 7. Factor 2/7*b**z - 2/7 + 0*b.
2*(b - 1)*(b + 1)/7
Let q be 7 + (0 + 0 - 2). Suppose k + q*p = -18, 4*k = 2*k + p + 8. Solve 3 - 2 - b**4 + b - k*b**3 + b = 0.
-1, 1
Let w(s) = -s**2 - 5*s - 6. Let n be w(-2). Let -10/3*z**2 + n + 4/3*z + 2*z**3 = 0. What is z?
0, 2/3, 1
Suppose -9*m = -7*m. Let z(d) be the first derivative of -2 + 2/3*d**3 + 0*d + m*d**2 - 1/2*d**4. Find s such that z(s) = 0.
0, 1
Let f(m) be the second derivative of -1/42*m**4 + 4*m + 1/7*m**2 + 0 - 1/70*m**5 + 1/21*m**3. Let f(c) = 0. What is c?
-1, 1
Let u(s) = -s. Let t(w) = -2*w**2 - 6*w. Let b(v) = -t(v) + 10*u(v). Let b(f) = 0. Calculate f.
0, 2
Let s(y) = -3*y + 37. Let a be s(11). Determine w so that 2/5*w**2 - 2/5*w**a + 0 + 1/5*w**5 - 1/5*w + 0*w**3 = 0.
-1, 0, 1
Suppose 2*i + t = -34, -4*t + 13 = -3*i - 49. Let n be 4/(-6) + (-156)/i. Factor l**5 - n*l**4 - 6*l**3 - 3*l**5 - 4*l**3 - 4*l**2.
-2*l**2*(l + 1)**2*(l + 2)
Factor 4/9*k**2 + 0 + 0*k - 16/9*k**4 + 2/9*k**3 + 10/9*k**5.
2*k**2*(k - 1)**2*(5*k + 2)/9
Let c(x) be the first derivative of x**6/360 + x**5/60 - 2*x**3/9 + 3*x**2/2 + 2. Let o(f) be the second derivative of c(f). Suppose o(a) = 0. Calculate a.
-2, 1
Let q(n) be the second derivative of 0 - 1/10*n**4 + 1/15*n**3 + 0*n**2 + n + 3/50*n**5 - 1/75*n**6. Solve q(p) = 0.
0, 1
Let g be -4*(-21)/(-112) - (-3)/4. Determine x so that -8*x**3 + g + 10*x**4 + 8/5*x**2 + 0*x = 0.
0, 2/5
Suppose 4/3*o**2 + 0 + 0*o = 0. What is o?
0
Let x(r) be the third derivative of -r**6/30 + r**5/5 - r**4/2 + 2*r**3/3 - 5*r**2. Factor x(m).
-4*(m - 1)**3
Let p(s) = s**2 + 10*s + 5. Let g be p(-10). Let a(z) be the third derivative of 0*z**4 + 0 - z**2 - 1/120*z**g + 0*z + 0*z**3. Factor a(h).
-h**2/2
Let c(d) be the first derivative of 6*d + 3/2*d**3 - 1 + 27/16*d**4 - 15/2*d**2. Suppose c(r) = 0. Calculate r.
-2, 2/3
Let -922*k**3 + 923*k**3 + 0*k**2 + 8 + 12*k + 6*k**2 = 0. Calculate k.
-2
Suppose 5*p + t = 0, -2*t = 4*p - t. Let q(f) be the third derivative of 0*f**6 + 0*f - 1/120*f**5 + 0*f**4 + p + 1/24*f**3 - 2*f**2 + 1/840*f**7. Factor q(o).
(o - 1)**2*(o + 1)**2/4
Let x = 178 + -176. Determine n, given that 2 - 7/2*n**x - 6*n = 0.
-2, 2/7
Let v = -72 + 508/7. What is c in 0 + v*c - 4/7*c**3 - 2/7*c**2 + 2/7*c**4 = 0?
-1, 0, 1, 2
Let c(g) be the first derivative of -2*g**3/15 + 4*g**2/5 + 38. Factor c(q).
-2*q*(q - 4)/5
Factor 3*q + 14 + 14 - 3*q**3 - 9*q**2 - 19.
-3*(q - 1)*(q + 1)*(q + 3)
What is a in -a**2 - 1/2 + 1/4*a**3 + 5/4*a = 0?
1, 2
Suppose -2*p + 4 = -0*p. Let d(w) be the second derivative of -1/7*w**3 + 0 + w - 2/7*w**p + 5/42*w**4. Factor d(z).
2*(z - 1)*(5*z + 2)/7
Find x, given that 106*x**2 + 231*x**2 - 1002*x - 198*x + 1125 - 17*x**2 = 0.
15/8
Let i be (-2 - (-3 + 1))/(-2). Let f be (4/(-6))/(2/(-6)). Determine q so that i - 2*q**2 + 0 + 2 - 2*q**3 + f*q = 0.
-1, 1
Let r(c) be the second derivative of 0 - 1/40*c**5 + 0*c**2 + 4*c + 0*c**3 + 1/24*c**4. Factor r(y).
-y**2*(y - 1)/2
Let v(w) be the third derivative of w**7/105 - w**6/30 - w**5/30 + w**4/6 - 24*w**2. Factor v(p).
2*p*(p - 2)*(p - 1)*(p + 1)
Solve -26/5*p + 14/5*p**2 + 12/5 + 2/5*p**3 - 2/5*p**4 = 0 for p.
-3, 1, 2
Let i(c) = 2*c**2 + 10*c + 15. Let q(f) = -f**2 - 5*f - 7. Let h(x) = -6*i(x) - 14*q(x). Factor h(o).
2*(o + 1)*(o + 4)
Find a such that -2/3*a**3 + 10/3*a + 2 + 2/3*a**2 = 0.
-1, 3
Let x(b) be the first derivative of -b**4/12 + 4*b**3/27 - b**2/18 + 13. Factor x(a).
-a*(a - 1)*(3*a - 1)/9
Let w(r) be the third derivative of r**8/23520 + r**7/4410 - r**6/630 - r**5/30 - 3*r**2. Let h(o) be the third derivative of w(o). Factor h(x).
2*(x + 2)*(3*x - 2)/7
Suppose -1 = 3*z - 4. Let t(w) = w**2 - 2*w + 1. Let g be t(z). Solve b + 1/2*b**2 + g = 0 for b.
-2, 0
Let p(n) be the first derivative of -n**6/6 - 3*n**5/5 - n**4/2 - 1. Factor p(o).
-o**3*(o + 1)*(o + 2)
Let f(h) be the second derivative of 2*h**7/105 + 2*h**6/15 + 6*h**5/25 - 2*h**4/15 - 14*h**3/15 - 6*h**2/5 - 15*h. Let f(j) = 0. What is j?
-3, -1, 1
Suppose 0 = -s + 4. Let y = 6 - s. Factor 1 + 7*i - 5*i - 5*i**2 + 6*i**y.
(i + 1)**2
Let d be (-25)/(-3) + 7/(-21) - 6. Factor 1/2*t**d + 1/2*t + 0.
t*(t + 1)/2
Let a(y) be the second derivative of -y**6/20 - 3*y**5/40 + y**4/8 + y**3/4 + 3*y. Factor a(q).
-3*q*(q - 1)*(q + 1)**2/2
Let m(j) = 2*j**3 - 6*j**2 + 6*j + 2. Let s(q) = q**2 + 10*q - 7. Let y be s(-11). Let c(r) = r**3 - r**2 + r. Let k(g) = y*c(g) - m(g). Factor k(f).
2*(f - 1)*(f + 1)**2
Let l(z) be the first derivative of 8 + 0*z**2 - 1/2*z**3 + 0*z + 3/10*z**5 + 0*z**4. Factor l(g).
3*g**2*(g - 1)*(g + 1)/2
Let l(j) be the first derivative of -j + 19/12*j**3 - 1/2*j**2 - 4 + 3/4*j**5 + 17/8*j**4. Find r, given that l(r) = 0.
-1, -2/3, 2/5
Let c(g) = -4 + 1 + 0*g + g. Let t be c(3). Suppose -2/7*v**2 + t + 2/7*v**3 + 0*v = 0. What is v?
0, 1
Determine a so that -2*a + 1/2*a**2 + 2 = 0.
2
Let r(u) be the second derivative of 2*u**6/15 - 3*u**5/5 + 13*u**4/12 - u**3 + u**2/2 + 10*u. Let r(d) = 0. What is d?
1/2, 1
Let v(w) = -9*w + 264. Let o be v(29). Determine j, given that -5/4*j**o - 1/2 + 2*j**2 - 1/4*j = 0.
-2/5, 1
Let o be 70/(-49) + (0 - -2). Determine i so that -2/7*i + 2/7*i**3 + 4/7 - o*i**2 = 0.
-1, 1, 2
Let d(a) be the first derivative of -5*a**4/4 - 20*a**3/3 - 15*a**2/2 - 10. Factor d(s).
-5*s*(s + 1)*(s + 3)
Let z(a) be the first derivative of 4*a**5/45 + 5*a**4/18 + 8*a**3/27 + a**2/9 + 7. Factor z(o).
2*o*(o + 1)**2*(2*o + 1)/9
Let k = 4 + -1. Factor -3*z**2 + 0*z**4 + z**4 - 2*z**2 + 6*z**2 - 2*z**k.
z**2*(z - 1)**2
Let j(t) = t**2 + 17*t - 197. Let d be j(8). Find x, given that 0*x - 3*x**2 + 3/2*x**4 + 0 - 7/2*x**d = 0.
-2/3, 0, 3
Let u = -14/19 - -222/95. Solve -u*g**3 - 4/5*g**2 + 2/5*g**5 + 4/5 + 6/5*g + 0*g**4 = 0 for g.
-1, 1, 2
Let f = -429 + 431. Factor 0 - 1/3*s - 2/3*s**f.
-s*(2*s + 1)/3
Let j(r) be the first derivative of 0*r + 1/8*r**4 + 1/4*r**2 - 1/3*r**3 - 3. Factor j(o).
o*(o - 1)**2/2
Let c(t) be the second derivative of t**8/2520 - t**6/540 + t**3/6 - t. Let j(m) be the second derivative of c(m). Determine o, given that j(o) = 0.
-1, 0, 1
Let o(j) be the first derivative of 3*j**5/10 + 9*j**4/8 + j**3 - 8. Factor o(i).
3*i**2*(i + 1)*(i + 2)/2
Let x be (-204)/(-21) - 6/(-21). Let -36*o - 4*o**3 - 18*o**2 - 34 + 0*o**2 + o**3 + x = 0. Calculate o.
-2
Let l = -2/25 - -33/100. Let d(p) be the third derivative of -1/3*p**3 + 0*p + 0 + 1/60*p**6 + l*p**4 - 1/10*p**5 - 2*p**2. Factor d(w).
2*(w - 1)**3
Let o(c) be the first derivative of c**5/60 - 5*c**4/36 + 4*c**3/9 - 2*c**2/3 + c - 5. Let v(x) be the first derivative of o(x). Let v(h) = 0. Calculate h.
1, 2
Let u = 154 + -766/5. Factor -2/5 - 2/5*v**2 + u*v.
-2*(v - 1)**2/5
Let q(z) be the third derivative of z**8/4200 + z**7/1050 + z**6/900 - z**3/2 - z**2. Let f(s) be the first derivative of q(s). Let f(a) = 0. Calculate a.
-1, 0
Factor -5*g**4 + 5*g**2 - 10*g - 544 + 544 + 10*g**3.
-5*g*(g - 2)*(g - 1)*(g + 1)
Let j = 186 - 3719/20. Let o(q) be the second derivative of 1/75*q**6 - 1/10*q**2 + 1/30*q**3 - 1/20*q