*4 = 0.
-2, 0, 2
Let p(b) = 7*b**2 - 8*b + 12. Let l(t) = -6*t**2 + 9*t - 12. Let r(x) = 4*l(x) + 3*p(x). Find h, given that r(h) = 0.
2
Let n(m) be the first derivative of -m**3/3 + 3*m**2 - 9*m - 7. Let n(c) = 0. What is c?
3
Let h(k) = -7*k**2 - 6*k**2 + 3*k**2 + k**2. Let t(b) = b**2. Let n(j) = -4*h(j) - 33*t(j). Find z, given that n(z) = 0.
0
Let m(f) = -11*f**2 + 23*f - 9. Let v(d) = -5*d**2 + 11*d - 5. Let u(h) = -3*m(h) + 7*v(h). Let u(o) = 0. What is o?
2
Let m be (-1 - 38/14) + 4. What is f in -4/7*f**4 + 6/7*f**2 + m*f - 2/7*f**3 - 2/7 = 0?
-1, 1/2, 1
Let h be (-14)/(-5) + 6/30. Determine v, given that -2*v**2 - v**3 + 2*v + 0*v - v**h + 2*v**4 = 0.
-1, 0, 1
Let b(m) be the first derivative of -64/3*m**6 - 14*m**2 - 2*m - 2 - 146/3*m**3 - 352/5*m**5 - 86*m**4. Factor b(z).
-2*(z + 1)**2*(4*z + 1)**3
Suppose 7 = -2*s - 3*u, -5*u - 3 - 2 = 5*s. Find m such that -6*m**4 - 2*m**3 + 6*m**4 + 2*m**s = 0.
0, 1
Let u be 1*(-3 - 0)/(-3). Let c be 2/6*(1 + u). Factor -2/3*v + 0*v**2 + 0 + c*v**3.
2*v*(v - 1)*(v + 1)/3
Let f = -15 + 18. Let o(p) be the third derivative of 1/240*p**5 + 0*p + 1/48*p**4 - 2*p**2 + 0 + 1/24*p**f. Factor o(h).
(h + 1)**2/4
Let j(v) = v**4 + 3*v**3 + 2*v**2 - 2*v - 2. Let w(s) = -s**2 - s + 1. Suppose y - 6*y = 0. Suppose y*o - 2 = o. Let q(u) = o*w(u) - j(u). Factor q(d).
-d*(d - 1)*(d + 2)**2
Let c(d) = -2*d + 9. Let x be c(7). Let h = x + 8. Solve 4*v**2 + 0*v**h + 2*v**4 + 2*v**4 + v + 6*v**3 + v**5 = 0.
-1, 0
Let n(s) be the first derivative of -s**7/5460 + s**6/780 - s**5/390 - s**3/3 - 7. Let k(o) be the third derivative of n(o). Let k(v) = 0. Calculate v.
0, 1, 2
Let b(w) = w**2 + 4*w + 2. Let g be b(-4). Let -j**3 + 0 - 2*j**4 + 2*j**2 - j**3 + 0 + g*j = 0. Calculate j.
-1, 0, 1
Suppose 3*c + 8 = 7*c. Factor -c*l + 4*l**4 + 4*l + 4*l**4 - 2*l**3 - 2*l**2 - 6*l**4.
2*l*(l - 1)**2*(l + 1)
Let -8/9 + 8/9*a**2 - 4/9*a + 4/9*a**3 = 0. What is a?
-2, -1, 1
Let c(n) = -3*n**2 + n - 4. Let z(d) = d**2 + d + 1. Let s(k) = 2*c(k) + 4*z(k). Factor s(h).
-2*(h - 2)*(h - 1)
Let t(x) be the first derivative of x**5/10 - 2*x**4/3 + 4*x**3/3 + 3*x - 4. Let l(k) be the first derivative of t(k). Solve l(o) = 0.
0, 2
Let w(o) = -o**3 - 6*o**2 - o - 4. Let q be w(-6). Let i(p) be the first derivative of 2*p - 2/3*p**3 + 0*p**q + 1. Factor i(r).
-2*(r - 1)*(r + 1)
Solve 3/7*w**2 - 3/7 - 3/7*w + 3/7*w**3 = 0 for w.
-1, 1
Let c(u) be the first derivative of 5*u**3/6 + 7*u**2/4 + u + 2. Factor c(p).
(p + 1)*(5*p + 2)/2
Let n(v) be the second derivative of -v**5/20 - 7*v**4/12 - 4*v**3/3 - 9*v**2/2 + 4*v. Let m be n(-6). Determine b so that 3*b**3 + 3 - m + 3*b**2 = 0.
-1, 0
Let r(z) be the first derivative of -1/2*z**3 - 4 + 1/24*z**4 + 9/4*z**2 + 2*z. Let g(v) be the first derivative of r(v). Factor g(d).
(d - 3)**2/2
Let b be (-6*(-8)/16)/(2 - 1). Determine y, given that 2/3 - 2/3*y - 2/3*y**2 + 2/3*y**b = 0.
-1, 1
Let r(f) = -f**3 + 5*f**2 + 2*f - 7. Let p be r(5). Let k(j) be the first derivative of -p + 1/4*j**2 + 0*j**3 + 0*j - 1/8*j**4. Factor k(v).
-v*(v - 1)*(v + 1)/2
Let w be -2 + 13/3 + -2. Let b = -71 + 71. Factor 1/3 + b*j - w*j**2.
-(j - 1)*(j + 1)/3
Let a(y) = -y**2 + y - 1. Let k(b) = -2*b**2 + 3*b - 3. Let x be 72/(-7) - 8/(-28). Let f = 0 - x. Let t(q) = f*a(q) - 6*k(q). Let t(m) = 0. Calculate m.
2
Factor 3/2*p**2 + 0 + 3/2*p - 1/6*p**3 - 1/6*p**4.
-p*(p - 3)*(p + 1)*(p + 3)/6
Let y(i) be the third derivative of i**6/240 + i**5/30 + 5*i**4/48 + i**3/6 - 21*i**2. Factor y(o).
(o + 1)**2*(o + 2)/2
Let t = 30 + -24. Let g(f) be the third derivative of 0*f**3 + f**2 + 7/660*f**t + 3/110*f**5 + 0 + 1/66*f**4 + 0*f. Factor g(s).
2*s*(s + 1)*(7*s + 2)/11
Let t(v) = -v**3 + v**2. Let s(j) = 10*j**3 + 30*j**2 + 80*j + 60. Let r(g) = s(g) + 5*t(g). Factor r(q).
5*(q + 2)**2*(q + 3)
Let m be ((-4)/24)/(3/(-12)). Let g(f) be the second derivative of 0 + m*f**3 + 1/2*f**2 + 2*f + 1/4*f**4. Factor g(z).
(z + 1)*(3*z + 1)
Suppose -l + 7 = -2*b - 0, -5*l + 80 = 5*b. Let g be l/3 + (-2)/6. Factor -q**2 + 4*q - 2*q + g - q**2.
-2*(q - 2)*(q + 1)
Let h be -1 + (-50)/(-45) + 0. Let v(t) be the first derivative of 1/6*t**2 - h*t**3 - 2 + 0*t. Factor v(w).
-w*(w - 1)/3
Find z such that -4*z**2 + z**2 - 2*z**5 + 3*z**4 - 9*z**3 + 5*z**5 + 6*z = 0.
-2, -1, 0, 1
Let a(d) = -d**2 + d - 3. Let q be a(0). Let f be (-11)/q - (-5)/15. Let 0*g + 0*g**3 + 0*g**2 + 0 + 1/4*g**f = 0. Calculate g.
0
Let w = -7 - -7. Let h(r) = -r**2 + r + 2. Let s be h(w). Factor -2/7*c - 2/7*c**s + 0.
-2*c*(c + 1)/7
Factor -3/7*q**3 + 0 + 0*q + 3/7*q**5 + 3/7*q**4 - 3/7*q**2.
3*q**2*(q - 1)*(q + 1)**2/7
Suppose 0 = -2*o - 3 - 9. Let g(n) = -n - 3. Let w be g(o). Factor -2/7*x**4 - 2/7*x**2 - 4/7*x**w + 0*x + 0.
-2*x**2*(x + 1)**2/7
Let b(z) be the first derivative of -3/20*z**4 + 0*z - 3/10*z**2 + 2/5*z**3 + 3. Factor b(r).
-3*r*(r - 1)**2/5
Let j(a) be the first derivative of -1 + 1/6*a**6 + 0*a + 0*a**2 + 3/4*a**4 - 3/5*a**5 - 1/3*a**3. Let j(u) = 0. Calculate u.
0, 1
Let h(x) = -2*x**2 - 5*x + 1. Let r(w) = -w**2 - w. Suppose -l + 2 = -1. Let o(t) = l*r(t) - h(t). Factor o(n).
-(n - 1)**2
Let o(b) = -b**2 - 4*b. Let h be o(-4). Suppose h*n + 4*n = 12. Factor -n*z + 0 + z**2 + 2*z - 2.
(z - 2)*(z + 1)
Suppose 0 = 4*g + 16, 11*m - 13*m = 2*g + 8. Let m - 4/3*x**3 + 10/3*x**2 - 4/3*x = 0. Calculate x.
0, 1/2, 2
Let s = -918 + 32128/35. Let k = s + 41/105. Solve 1/3*a**2 + 0 + 2/3*a**3 + k*a**4 + 0*a = 0.
-1, 0
Let v(y) = -6*y**4 + 19*y**3 - 35*y**2 + 12*y. Let z(f) = -3*f**4 + 10*f**3 - 17*f**2 + 6*f. Let d(r) = 2*v(r) - 5*z(r). Factor d(p).
3*p*(p - 2)*(p - 1)**2
Let m(a) = 2*a**2 - 22*a + 36. Let z be m(9). Solve z + 3/2*j**5 + 1/2*j**4 + 0*j - 3/2*j**3 - 1/2*j**2 = 0.
-1, -1/3, 0, 1
Let j(y) be the third derivative of -y**5/240 + y**3/6 + 15*y**2. Factor j(i).
-(i - 2)*(i + 2)/4
Let c(u) = 7*u**4 - 10*u**3 - 5*u**2 + 8*u + 2. Let h(g) = -g**4 + g - 1. Let f(l) = c(l) + 2*h(l). Factor f(x).
5*x*(x - 2)*(x - 1)*(x + 1)
Let z(t) be the second derivative of 0*t**2 - t - 1/90*t**5 + 0*t**3 - 1/27*t**4 + 0. Let z(m) = 0. What is m?
-2, 0
Let f(z) be the third derivative of z**5/390 - 3*z**3/13 + 23*z**2 - 1. What is c in f(c) = 0?
-3, 3
Let c(q) be the first derivative of 1 + 0*q - 2/3*q**2 - 2/9*q**3 + 1/2*q**4. Factor c(o).
2*o*(o - 1)*(3*o + 2)/3
Let b = 2 - 0. Let g be 0/((-2)/6 - 34/51). Factor -3/4*v**5 - 3/4*v**4 + 3/4*v**3 + g + 3/4*v**b + 0*v.
-3*v**2*(v - 1)*(v + 1)**2/4
Suppose 6*a - 64 + 64 = 0. Let t(r) be the third derivative of -2*r**2 + 3/11*r**3 + 1/22*r**4 + 1/330*r**5 + a*r + 0. Factor t(q).
2*(q + 3)**2/11
Let j(o) = -3*o**4 + 6*o**4 - 2*o**4 - 3*o**4 - o**2 - 3. Let b(s) = s**4 + 1. Let f(u) = -3*b(u) - j(u). Suppose f(y) = 0. Calculate y.
-1, 0, 1
Let p(r) = 3*r**4 - 29*r**3 + 32*r. Let g(a) = -a**4 + 15*a**3 - 16*a. Let u(j) = -5*g(j) - 3*p(j). Determine m, given that u(m) = 0.
-1, 0, 2
Let l be 5*5/((-25)/(-3)). Factor o + l*o**2 + 2*o**3 - 2*o + 0*o - 5*o**3 + o**4.
o*(o - 1)**3
Let v(f) = 13*f**3 - 45*f**2 + 61*f - 29. Let l(q) = -32*q**3 + 112*q**2 - 152*q + 72. Let z(u) = -5*l(u) - 12*v(u). Factor z(h).
4*(h - 3)*(h - 1)**2
Let j(r) be the third derivative of -r**7/70 + r**6/20 - r**5/20 + 3*r**2. Factor j(k).
-3*k**2*(k - 1)**2
Suppose 0 = 4*x - 4. Suppose -x = -5*m - 3*g - 6, 4*m + g - 3 = 0. Factor 2/3*k**m - 2/3*k**3 - 2/9*k + 0 + 2/9*k**4.
2*k*(k - 1)**3/9
Let c(q) = -q**2 - 3*q - 2. Let i be c(-3). Let j(x) = x. Let l(m) = 4*m**2 + 4*m. Let f(v) = i*l(v) + 10*j(v). Find d such that f(d) = 0.
0, 1/4
Let m(i) be the first derivative of i**6/60 + i**5/30 - i**2 - 4. Let n(j) be the second derivative of m(j). Solve n(f) = 0.
-1, 0
Let x = 4 - 12. Let o be 2/8 + 2/x. Suppose o*u + 0*u**2 - 2/7*u**3 + 0 = 0. What is u?
0
Factor -3*w**2 + w**3 + 3 - 3*w**2 + 9*w - 2 - 5.
(w - 4)*(w - 1)**2
Let v(b) be the second derivative of b**7/336 + b**6/120 + 28*b. Suppose v(g) = 0. Calculate g.
-2, 0
Let t(z) = -4*z**3 + 16*z**2 + 12*z + 4. Let j(v) = -v**4 + v - 1. Let i(p) = 4*j(p) + t(p). Let i(u) = 0. Calculate u.
-2, -1, 0, 2
Let k(g) be the first derivative of -g**6/27 - 8*g**5/45 - g**4/3 - 8*g**3/27 - g**2/9 - 15. Determine j so that k(j) = 0.
-1, 0
Let c(i) = i**3 - 6*i**2 + 3*i - 13. Let n be c(6). Let a(l) be the second derivative o