 second derivative of 0*h**2 + 4*h - 1/3*h**3 - 3/4*h**4 + 0. Factor m(t).
-t*(9*t + 2)
Let b be (4 + -3)/1*7. Let v = 7 - b. Solve v*g - 2/5*g**2 + 0 + 1/5*g**3 = 0.
0, 2
Let q be (-1996)/48 + 2/8. Let t = q + 42. Factor -t*r + 2/3 - 2/3*r**2 + 2/3*r**3.
2*(r - 1)**2*(r + 1)/3
Let x(c) be the first derivative of 4*c**3/3 + 2*c**2/5 - 25. Determine n, given that x(n) = 0.
-1/5, 0
Suppose v - 2*v = -0*v. Factor -1/4*f - 1/8 + 1/4*f**3 + v*f**2 + 1/8*f**4.
(f - 1)*(f + 1)**3/8
Let r(t) be the first derivative of t**4/18 + 2*t**3/9 + 2*t**2/9 + 7. Factor r(z).
2*z*(z + 1)*(z + 2)/9
Let d(t) be the second derivative of 1/15*t**6 + 0*t**3 + 0 - 6*t + 8/3*t**4 + 0*t**2 - 4/5*t**5. Solve d(b) = 0.
0, 4
Factor -104*d + 25*d**2 + 35*d**2 - 16*d**3 - 12 + 72*d.
-4*(d - 3)*(d - 1)*(4*d + 1)
Suppose -2*m - 51 = m. Let l = -14 - m. Let v**5 + 0*v + 3/2*v**4 + 1/2 - 2*v**2 - v**l = 0. What is v?
-1, 1/2, 1
Suppose -2*u - 4*i + 4 = 0, -32*u = -28*u + 3*i - 3. Factor -1/3*s + u - 1/3*s**2.
-s*(s + 1)/3
Let r(t) be the third derivative of 2*t**7/105 + t**6/10 - 2*t**4/3 - 6*t**2. Find g such that r(g) = 0.
-2, 0, 1
Let k be (-3*1)/((-5)/45). Let h = k - 23. Let -1/3*g**h - 1/3 + 2/3*g**2 + 0*g + 0*g**3 = 0. What is g?
-1, 1
Let g(w) be the first derivative of -w**3 - 3/2*w**2 + 3/4*w**4 + 2 + 0*w + 3/5*w**5. Factor g(x).
3*x*(x - 1)*(x + 1)**2
Let v(y) be the second derivative of y**5/80 + y**4/24 + y**3/24 - 17*y. Solve v(u) = 0 for u.
-1, 0
Let b(o) be the third derivative of -1/24*o**4 + 0 + 2*o**2 - 1/360*o**6 + 0*o - 1/60*o**5 - 1/18*o**3. Suppose b(l) = 0. What is l?
-1
Let y(p) = -2*p. Let s be y(-6). Suppose -m - 2*m = -s. Factor 2*g**m - 2*g**2 - 5*g**4 - 3*g**3 + 2*g**4.
-g**2*(g + 1)*(g + 2)
Suppose 0 = -2*r + 5*r. Suppose r = -2*u + 3*u - 4. Factor v**u + 2*v**2 + 8/3*v**3 + 0*v - 1/3.
(v + 1)**3*(3*v - 1)/3
Suppose h - 43 - 45 = -5*o, -53 = -4*o + 5*h. Let q(m) = 20*m**2 + 14*m - 6. Let w(z) = 7*z**2 + 5*z - 2. Let l(f) = o*w(f) - 6*q(f). Factor l(y).
-(y - 2)*(y + 1)
Let q(k) = k**5 + 7*k**4 - 10*k**3 + 10*k**2 - 5*k + 3. Let j(i) = -i**5 - i**4 - 1. Let o(x) = -2*j(x) - q(x). What is c in o(c) = 0?
1
Let y(g) = 2*g**2 - 27*g + 133. Let q(j) = j**2 - 13*j + 67. Let u(w) = 10*q(w) - 6*y(w). Solve u(k) = 0 for k.
8
Let c(o) be the first derivative of -3*o**4/4 - 4*o**3 - 9*o**2/2 + 7. Factor c(z).
-3*z*(z + 1)*(z + 3)
Let y(d) be the first derivative of -4 - 4*d + 2/3*d**3 + d**2. Factor y(o).
2*(o - 1)*(o + 2)
Find y such that -2*y**3 - 4/7*y + 0 - 18/7*y**2 = 0.
-1, -2/7, 0
Let k(g) be the third derivative of -g**6/600 + g**5/100 + 6*g**2. Let k(l) = 0. Calculate l.
0, 3
Let a(p) be the second derivative of p**6/6 - 5*p**4/6 + 5*p**2/2 - 2*p. Let a(s) = 0. What is s?
-1, 1
Suppose 3*o = -5*v - 26, -2*o + 0 = -4*v - 12. Let g be 2 + o + 2 - 0. Factor 2*w**3 + 6 - 6 + 7*w**4 - 2*w**g + w**2 + 4*w**5.
w**2*(w + 1)**2*(4*w - 1)
Let y be -3 + 6 + -1*15. Let r = -10 - y. What is f in -f**2 + 0*f**r + 3 - 7 + 4*f = 0?
2
Find b, given that 14*b**2 + 2*b**5 - 3*b**4 + 3*b**4 - 2*b**4 + 12*b - 4*b**4 - 6*b**3 = 0.
-1, 0, 2, 3
Let h(y) be the first derivative of -1/2*y**4 + 0*y**2 + 0*y**3 - 1/3*y**6 + 0*y - 1 + 4/5*y**5. Determine x so that h(x) = 0.
0, 1
Let f(h) = -h**2 + 8*h. Let y be f(8). Let d(v) be the first derivative of 49/10*v**5 + 1 + 7/2*v**4 + 0*v + 2/3*v**3 + y*v**2. Factor d(z).
z**2*(7*z + 2)**2/2
Suppose 2*i = -2*i + 4. Let r be 2/((1 - -2)*i). Factor -4/3*z**3 + 4/3*z + r*z**4 + 0*z**2 - 2/3.
2*(z - 1)**3*(z + 1)/3
Let c(h) be the second derivative of 1/12*h**4 + 5*h - 1/3*h**2 + 0 + 1/18*h**3. Factor c(j).
(j + 1)*(3*j - 2)/3
Let d(v) be the second derivative of v**7/2520 + v**6/540 + v**5/360 - v**3 + 5*v. Let f(l) be the second derivative of d(l). Factor f(j).
j*(j + 1)**2/3
Let g(w) be the first derivative of 4*w**7/105 - w**6/60 - 2*w**5/15 + w**4/12 - 3*w**2 + 8. Let a(s) be the second derivative of g(s). Factor a(v).
2*v*(v - 1)*(v + 1)*(4*v - 1)
Suppose o = -2*d + 4, 10 = 4*d + 2. Find l, given that 0*l - 2/9*l**3 + o - 2/9*l**2 = 0.
-1, 0
Let j(v) be the second derivative of v**7/420 + v**6/180 - v**5/60 - v**4/12 + 2*v**3/3 - 4*v. Let z(i) be the second derivative of j(i). Factor z(c).
2*(c - 1)*(c + 1)**2
Let j(g) be the third derivative of 2*g**7/105 + g**6/15 - 7*g**5/15 - 10*g**4/3 - 8*g**3 + 12*g**2. Solve j(d) = 0.
-2, -1, 3
Let f(q) be the first derivative of -q**5/5 + q**3 + q**2 + 42. What is o in f(o) = 0?
-1, 0, 2
Let q(y) = 2*y - 14. Let a be q(13). Let h be a/(-10)*(-15)/6. Factor 1/4*r**4 + 0 - r - 5/4*r**h + 2*r**2.
r*(r - 2)**2*(r - 1)/4
Let i(t) = t - 5. Let g be i(7). Suppose -b - g = -6. Find s such that 2*s**b - s**3 + s**5 + 2*s**2 - 3*s**2 - s**4 = 0.
-1, 0, 1
Factor -51*j**2 - 2 - 8 + 21*j**3 - 3*j**4 - 8 + 51*j + 0*j**4.
-3*(j - 3)*(j - 2)*(j - 1)**2
Let k be 512/240 - (2 - (-56)/(-30)). Let n(d) be the third derivative of 0*d**3 + 0*d + 3*d**k + 1/60*d**5 + 0 - 1/24*d**4. Factor n(w).
w*(w - 1)
Suppose -8*n + 2 + 1/2*n**2 - 25/2*n**5 + 41/2*n**3 - 5/2*n**4 = 0. What is n?
-1, 2/5, 1
Find o, given that 0 - 4/5*o**2 + 1/5*o = 0.
0, 1/4
Let w(h) be the third derivative of h**5/50 + h**4/12 + 2*h**3/15 - 5*h**2. Factor w(m).
2*(m + 1)*(3*m + 2)/5
Let w(s) = -2*s**4 - s**2 - 3. Let o(k) = 4*k**4 + k**2 + 5. Let q(v) = -3*o(v) - 5*w(v). Factor q(t).
-2*t**2*(t - 1)*(t + 1)
Let n be (3/((-6)/(-4)))/1. Let y(x) be the first derivative of -2 - 8/9*x - 20/9*x**n - 50/27*x**3. Factor y(d).
-2*(5*d + 2)**2/9
Suppose -3*u - 4 + 16 = 0. Suppose 5*q - 2*p = -5*p + 3, -3*q = 5*p + 11. Solve -1/2*t**u + 0*t + 0 + 0*t**q + 1/2*t**2 = 0 for t.
-1, 0, 1
Suppose 2*y = 5*y. Suppose 3*s + s - 16 = y. Factor 0 + 0*z - 1/3*z**2 + 2/3*z**3 - 1/3*z**s.
-z**2*(z - 1)**2/3
Let r be 7/(378/8)*6. What is c in r*c - 2/3*c**2 - 2/9 = 0?
1/3, 1
Factor 5*a**2 + 12*a - 2*a**2 + 12 + 0*a.
3*(a + 2)**2
Let j(x) = 2*x**2 + 2*x - 2. Let z be j(-2). Solve 128*u**3 + 36*u**2 + 24*u + 2 + 30*u**z + 30*u**2 = 0.
-1/4
Let -21*u**3 + 81*u**3 - 35*u**5 + 45*u**4 - 3*u**2 - 8*u**2 - 9*u**2 = 0. What is u?
-1, 0, 2/7, 2
Let u(o) = o**3 + o. Let r(m) = -6*m**3 - 6*m**2 - 6*m. Let k(z) = r(z) + 3*u(z). Determine i so that k(i) = 0.
-1, 0
Let v = -12 - -14. Factor -v*y**3 - 1 + 4*y - 1 + 2 + 2*y**2.
-2*y*(y - 2)*(y + 1)
Let w be (-1 + 0)/(9/(-162)). Suppose -4*q - 2*g = -w, 2*g - 12 = -q - q. What is u in 0 - 1/5*u**2 - 2/5*u + 3/5*u**q = 0?
-2/3, 0, 1
Let s(w) be the third derivative of 1/84*w**4 + 0*w**3 - 3*w**2 + 0*w + 1/210*w**5 + 0. Let s(q) = 0. Calculate q.
-1, 0
Let w(q) be the third derivative of q**8/84 + 4*q**7/21 + 5*q**6/6 - 4*q**5/3 - 40*q**4/3 + 128*q**3/3 - 19*q**2. Factor w(j).
4*(j - 1)**2*(j + 4)**3
Let f = 12 - 6. Let t(r) be the third derivative of -1/84*r**4 + 2*r**2 + 0*r**f + 0 + 4/735*r**7 - 1/70*r**5 + 0*r**3 + 0*r. Let t(w) = 0. What is w?
-1/2, 0, 1
Let z(h) be the second derivative of h**6/180 + h**5/120 - h. Find c, given that z(c) = 0.
-1, 0
Let i(a) = 2*a**2 + 8*a - 2. Let w(y) = -y**3 + 2*y**2 + 3. Let f be w(3). Let s(m) = 2*m**2 + 9*m - 2. Let h(r) = f*i(r) + 5*s(r). Solve h(u) = 0 for u.
-2, 1/2
Let v = 19 - 16. Find w, given that -19*w**2 + 19*w**2 - w**5 + w**v = 0.
-1, 0, 1
Let h(p) be the second derivative of p**6/144 + 7*p**5/240 + p**4/24 - p**3/6 + 3*p. Let q(o) be the second derivative of h(o). Factor q(r).
(r + 1)*(5*r + 2)/2
Suppose -2*c + 4 = 3*c + 4*s, 3*c - s = 16. Suppose 2/3 - 4/3*y**2 + 2/3*y**c - 2/3*y - 2/3*y**5 + 4/3*y**3 = 0. Calculate y.
-1, 1
Determine x so that 0 - 2/15*x**3 + 2/5*x**2 + 0*x = 0.
0, 3
Let o(x) = x. Let v be o(1). Let q be v - -3 - (2 - 2). Solve 0*m**2 + 0 - 4/7*m**q + 2/7*m**3 + 2/7*m**5 + 0*m = 0.
0, 1
Let a = -828 - -9110/11. Factor 2/11*n - 4/11 + a*n**2.
2*(n - 1)*(n + 2)/11
Factor -94*q**3 + 182*q**3 - 106*q**2 + 202*q**3 - 1 + 125*q**5 + 17*q + 59*q**4 - 384*q**4.
(q - 1)**2*(5*q - 1)**3
Let k = 307 + -2147/7. Factor k*c**5 + 4/7*c**3 - 6/7*c + 2/7 - 6/7*c**4 + 4/7*c**2.
2*(c - 1)**4*(c + 1)/7
Find z, given that 2/5*z**4 + 2/15*z**5 + 0 + 2/5*z**3 + 0*z + 2/15*z**2 = 0.
-1, 0
Factor 3 - 1 + 265*v**2 + 0*v**4 - 269*v**2 + 2*v**4.
2*(v - 1)**2*(v + 1)**2
Let r be (5/(-20))/(7/(-48)). Factor -2/7*h**5 - 2/7*h + 0 - 8/7*h**2 - r*h**3 - 8/7*h**4.
-2*h*(h + 1)**4/7
Let s(t)