/3*u**3 + 8/3*u**5 = 0.
-1, 1/2, 1
Let j be 0 + (8/(-12) - -2). Factor 0*v + 0 + 2/3*v**3 - 2/3*v**4 + j*v**2.
-2*v**2*(v - 2)*(v + 1)/3
Let s(h) = -h**2 + 9*h - 8. Let j be s(7). Let b be ((-18)/60)/(j/(-8)). Factor b*w - 2/5*w**3 + 0*w**2 + 0.
-2*w*(w - 1)*(w + 1)/5
Let d = -6 + 8. Find h such that -15*h + 19*h + 4 + 2*h**d - 10 = 0.
-3, 1
Let l(o) be the second derivative of o**6/50 - 3*o**4/20 - o**3/5 + 11*o. Solve l(k) = 0.
-1, 0, 2
Factor -16/7*q**3 + 16/7*q - 4/7 + 4/7*q**2.
-4*(q - 1)*(q + 1)*(4*q - 1)/7
Let k(p) be the second derivative of 0 - p**3 + 3/20*p**5 + p**2 + 1/40*p**6 - 1/8*p**4 - p - 1/70*p**7. Let b(x) be the first derivative of k(x). Factor b(y).
-3*(y - 2)*(y - 1)*(y + 1)**2
Let u = -11 + 5. Let p(h) = -7*h**3 + 7*h**2 - 6*h. Let x(k) = 13*k**3 - 13*k**2 + 11*k. Let g(o) = u*x(o) - 11*p(o). What is b in g(b) = 0?
0, 1
Let c be 1 + (3/3)/(-1). Let c*k**3 + 3*k + 0*k**3 + 2*k**3 + 4*k**2 - k = 0. Calculate k.
-1, 0
Let v(t) be the second derivative of 0 + 4/147*t**7 + 3*t - 1/7*t**6 + 2/7*t**5 - 5/21*t**4 + 0*t**3 + 1/7*t**2. Factor v(c).
2*(c - 1)**4*(4*c + 1)/7
Let u(j) be the second derivative of -3/40*j**5 + 0*j**2 - 6*j + 0 - 1/60*j**6 + 1/84*j**7 + 1/6*j**3 + 1/24*j**4. What is d in u(d) = 0?
-1, 0, 1, 2
Let z(j) be the first derivative of 3*j**2/2 + 31*j + 9. Let w be z(-9). Factor 2/5*p**3 - 2/5*p**2 + 2/5*p**w + 0 - 2/5*p**5 + 0*p.
-2*p**2*(p - 1)**2*(p + 1)/5
Suppose 0 = 18*g - 17*g - 1. Let m(s) be the first derivative of -1/14*s**4 + 0*s**3 + 0*s - g + 0*s**2. Find i such that m(i) = 0.
0
Let j(l) = 5*l**2 + 0 + 4 - 3*l**5 + 0*l**3 + 3*l**4 + 3*l**3. Let p(t) = -5*t**5 + 5*t**4 + 5*t**3 + 9*t**2 + 7. Let v(k) = -7*j(k) + 4*p(k). Factor v(y).
y**2*(y - 1)**2*(y + 1)
Let r(l) be the second derivative of 3*l**5/20 - l**4 + 3*l**3/2 - 56*l. Determine t so that r(t) = 0.
0, 1, 3
Suppose 0*o + o - 2 = 0. Suppose -14 + 6 = -o*h. Factor -1/4*l**h - 1/4*l**3 + 0 + 0*l + 0*l**2.
-l**3*(l + 1)/4
Let g(p) be the first derivative of -7/11*p**2 - 10/11*p**3 - 8/55*p**5 - 2/11*p - 13/22*p**4 - 9. Factor g(w).
-2*(w + 1)**3*(4*w + 1)/11
Let a(x) be the third derivative of -x**8/672 + x**7/140 - x**6/80 + x**5/120 + 5*x**2. Determine k, given that a(k) = 0.
0, 1
Let d(o) be the first derivative of -o + 0*o**3 - 1/110*o**5 + 0*o**2 - 2 + 1/66*o**4. Let s(m) be the first derivative of d(m). Suppose s(n) = 0. Calculate n.
0, 1
Let 24/7 - 114/7*j**4 + 15*j**3 + 27/7*j**5 + 90/7*j**2 - 132/7*j = 0. Calculate j.
-1, 2/9, 1, 2
Suppose 0 = -9*y + 4*y + 10. Factor -2*n**y - 5*n**3 + n**4 + 2*n**5 + 4*n**2 + 0*n**2.
n**2*(n - 1)*(n + 2)*(2*n - 1)
Let b = 3 - 0. Let 0*y**2 - y**3 - y**2 + b*y**3 = 0. What is y?
0, 1/2
Let o(a) be the second derivative of -a**5/330 + a**4/66 + 3*a**2/2 - 3*a. Let k(r) be the first derivative of o(r). Determine h, given that k(h) = 0.
0, 2
Let b(s) = -s**2 + 30*s - 212. Let u be b(14). Factor -3*q**2 - 6*q + u + 3/2*q**3.
3*(q - 2)**2*(q + 2)/2
Let i(n) = -5*n**3 - 36*n**2 - 65*n - 34. Let q(g) = 30*g**3 + 215*g**2 + 390*g + 205. Let r(v) = -25*i(v) - 4*q(v). Suppose r(p) = 0. Calculate p.
-6, -1
Let i(g) be the third derivative of -g**5/30 + g**4/12 + 2*g**3 + 5*g**2 - 2. Solve i(j) = 0.
-2, 3
Let o = -1432/399 - -70/19. Let x(m) be the second derivative of 4/105*m**6 + 0*m**2 - 3*m + 6/35*m**5 + 3/14*m**4 + 0 + o*m**3. Solve x(f) = 0.
-2, -1/2, 0
Let c(f) be the second derivative of 0 + 0*f**5 + 0*f**3 + f + 1/2*f**2 + 1/72*f**4 - 1/360*f**6. Let r(b) be the first derivative of c(b). Factor r(d).
-d*(d - 1)*(d + 1)/3
Let h be 1018/(-2)*3/21. Let m = h + 73. Factor 2/7*j**4 + 2/7*j**3 - m*j**2 - 2/7*j + 0.
2*j*(j - 1)*(j + 1)**2/7
Let l(y) be the first derivative of y**6/180 - y**5/30 + y**4/12 - y**3/9 + y**2/2 - 2. Let w(s) be the second derivative of l(s). Factor w(k).
2*(k - 1)**3/3
Let l be 27/12*(-20)/(-30). Let -6*h**3 + 0*h + 0 + l*h**2 + 9/2*h**4 = 0. What is h?
0, 1/3, 1
Let d(y) be the second derivative of y**9/12096 - y**8/6720 - y**3/3 - y. Let h(b) be the second derivative of d(b). Factor h(j).
j**4*(j - 1)/4
Let n(p) be the first derivative of 69*p**2 - 69*p**2 - 2*p - p**4 + 2*p**3 - 4. Factor n(k).
-2*(k - 1)**2*(2*k + 1)
Let a(n) be the second derivative of n**5/70 - 11*n**4/14 + 121*n**3/7 - 1331*n**2/7 + 2*n + 14. Factor a(j).
2*(j - 11)**3/7
Suppose 64/19 + 54/19*r**4 - 234/19*r**3 - 256/19*r + 372/19*r**2 = 0. Calculate r.
2/3, 1, 4/3
Factor 6*i**2 + 7*i**3 - i**3 - 3*i**2 + 3*i**4.
3*i**2*(i + 1)**2
Suppose -2*r + 6 + 0 = 3*h, -2*h + 4*r = -4. Let 1 + 2*s - 7*s**h - 2*s**2 + 6*s**2 = 0. Calculate s.
-1/3, 1
Let j(q) be the first derivative of 1 + 0*q**4 + 1/360*q**6 + 0*q**2 + q**3 + 0*q + 0*q**5. Let z(v) be the third derivative of j(v). Factor z(s).
s**2
Let k(q) be the first derivative of -q**7/280 + q**6/60 - q**5/40 - q**3/3 - 2. Let b(w) be the third derivative of k(w). Factor b(y).
-3*y*(y - 1)**2
Factor -y - 3*y - 7547*y**2 + 7549*y**2 + 8*y.
2*y*(y + 2)
Let l be (9/12)/(1/(-4)). Let x be l + (-11)/(-3) - 0. Let 0*c**4 + 0*c**3 + 0 + 0*c**2 + x*c**5 + 0*c = 0. What is c?
0
Let m(v) be the second derivative of -1/6*v**4 + 1/10*v**5 - 2*v + 1/2*v**2 + 0 - 1/6*v**3 - 1/42*v**7 + 1/30*v**6. Factor m(z).
-(z - 1)**3*(z + 1)**2
Determine g, given that 66*g**2 + 3*g**5 + g**5 - 8*g**3 + 4*g - 66*g**2 = 0.
-1, 0, 1
Let t(h) be the first derivative of 2/21*h**3 + 2/7*h**2 + 3 + 0*h - 1/14*h**4. Factor t(r).
-2*r*(r - 2)*(r + 1)/7
Let n(b) = -3*b**2 + 18*b + 12. Let q(y) = 2*y**2 - 17*y - 12. Let m be (3 - (-20)/(-8))*12. Let l(t) = m*q(t) + 5*n(t). Solve l(o) = 0.
-2
Let y(r) = r**2 + 10*r. Let g be y(-10). Factor 0*k + 1/4*k**4 + g + 0*k**2 + 1/4*k**3.
k**3*(k + 1)/4
Let n(y) = -y**4 - y**3 - 3*y**2 - y + 2. Let p(z) = 6*z**4 + 6*z**3 + 15*z**2 + 5*z - 10. Let b(k) = 22*n(k) + 4*p(k). Solve b(t) = 0.
-2, -1, 1
Let h(l) be the first derivative of 2 + 1/42*l**4 + 3*l + 0*l**2 + 1/21*l**3. Let m(t) be the first derivative of h(t). Factor m(c).
2*c*(c + 1)/7
Suppose 2 = c + i, -c + 4*i + 8 = 3*c. Let v(l) be the second derivative of 0 + 0*l**3 + l**c - 1/6*l**4 - l. Let v(f) = 0. What is f?
-1, 1
Let s(k) = k**2 + 5*k - 3. Let m be s(-6). Suppose -b + 11 = m*q - 6*b, -q + 7 = -5*b. Find g such that 4/9*g**q + 0*g + 0 - 2/9*g**3 = 0.
0, 2
Let x(h) be the first derivative of -4 + 1/6*h**4 + 0*h + 0*h**3 + 0*h**2. Factor x(f).
2*f**3/3
Let k(c) = -2*c**3 - 13*c**2 - 26*c - 9. Let q(z) = 5*z**3 + 27*z**2 + 53*z + 17. Let p(r) = -14*k(r) - 6*q(r). Factor p(o).
-2*(o - 12)*(o + 1)**2
Let b be ((-9)/6)/((-1)/6). Let x(g) = 3*g**5 + 3*g**4 - 9*g**3 + 6*g**2 + 15*g. Let i(n) = n**3 + 1. Let q(h) = b*i(h) - x(h). Let q(l) = 0. What is l?
-3, -1, 1
Let r(d) be the second derivative of 7*d**7/540 + 7*d**6/405 + d**5/135 + 5*d**3/6 + 4*d. Let b(s) be the second derivative of r(s). Factor b(w).
2*w*(7*w + 2)**2/9
Let n(c) be the third derivative of 1/60*c**6 + 2/3*c**4 + 0 + 3*c**2 + 4/3*c**3 + 0*c + 1/6*c**5. Factor n(u).
2*(u + 1)*(u + 2)**2
Let n(f) be the third derivative of -1/735*f**7 + 1/210*f**5 + 0 + 4/21*f**3 + 0*f + 2/21*f**4 - 1/84*f**6 + 1/1176*f**8 + 4*f**2. What is q in n(q) = 0?
-1, 2
Let m(l) be the second derivative of -2*l + 3/20*l**5 - 1/2*l**3 + 0*l**4 + 0*l**2 + 0. Factor m(c).
3*c*(c - 1)*(c + 1)
Let r(k) = 16*k - 16*k - 4 - 2*k**2 + 6. Let d(g) = 2*g**2 + g - 2. Suppose 3*n + 0*l - 13 = -l, -5*n = 3*l - 27. Let q(v) = n*d(v) + 4*r(v). Factor q(s).
-(s - 2)*(2*s + 1)
Let k(m) be the first derivative of 2 + 2/7*m**2 - 2/7*m - 2/21*m**3. Factor k(y).
-2*(y - 1)**2/7
Let q(x) be the first derivative of -x**4/16 - x**3/12 + 6. Let q(s) = 0. Calculate s.
-1, 0
Let n = 14 + -10. Factor 2*c**2 - c**2 - n*c**3 + 5*c**3.
c**2*(c + 1)
Suppose -5*n - 2 = -6*n. Let i(q) = q**3 - 3*q**2 + 2. Let l be i(3). Determine a so that 3*a**4 - a**4 - 2*a**3 - 2*a**n + 0*a**2 + l*a = 0.
-1, 0, 1
Let o(c) be the first derivative of 0*c**2 + 0*c**4 + 0*c**5 + 1/420*c**7 + 2/3*c**3 - 2 + 0*c**6 + 0*c. Let n(g) be the third derivative of o(g). Factor n(l).
2*l**3
Let z(q) be the third derivative of -q**6/140 - q**5/210 + q**4/28 + q**3/21 - 20*q**2. Factor z(v).
-2*(v - 1)*(v + 1)*(3*v + 1)/7
Let -2/15*h**2 + 2/15 + 0*h = 0. Calculate h.
-1, 1
Let j = 0 + 4. Let m**4 + 4*m**j + m**4 + 7*m**3 + 2*m*