*t**2/16 - 10*t. Factor j(d).
3*(d - 3)*(d - 1)/8
Let z(l) = 4*l**2 - 3*l - 7. Let h(x) = 2*x**2 - x - 3. Let p(k) = -k - 13. Let q be p(-6). Let c(s) = q*h(s) + 3*z(s). What is g in c(g) = 0?
-1, 0
Let z(g) = 7*g**3 + 5*g**2 + 3*g + 3. Let m(r) = 13*r**3 + 11*r**2 + 5*r + 5. Let x(b) = -3*m(b) + 5*z(b). Find t such that x(t) = 0.
-2, 0
Let q(f) be the third derivative of f**7/735 + f**6/420 - f**5/210 - f**4/84 - 4*f**2. Factor q(s).
2*s*(s - 1)*(s + 1)**2/7
Let a(g) = g**2 - 1. Let w(o) = -2*o**2 + o + 3. Let p(m) = -7*a(m) - 3*w(m). Find b such that p(b) = 0.
-2, -1
Suppose 20 = 4*a + 4. Let m be (-11)/a + (11 - 8). Suppose 1/2 - m*g**2 - 1/4*g = 0. Calculate g.
-2, 1
Suppose 2*h - 4*q - 6 = -0, 5*q - 10 = 0. Solve -h*t + 30*t**3 - 29*t + 3 - 9*t**2 + 9 - 9*t**4 = 0.
-1, 1/3, 2
Let r(p) be the third derivative of 0*p**4 + 4/105*p**7 + 1/45*p**5 + 0*p + 1/20*p**6 + 0*p**3 + p**2 + 0 + 5/504*p**8. Solve r(m) = 0 for m.
-1, -2/5, 0
Let d(o) be the first derivative of -o**4/2 + 3*o**2 - 4*o + 11. Suppose d(n) = 0. What is n?
-2, 1
Let k(m) = 5*m**2 - 1. Let x be k(1). Factor 2*a**4 - 5*a**4 - 14*a**2 + 7*a**4 - x*a + 10*a**4 + 4*a**3.
2*a*(a - 1)*(a + 1)*(7*a + 2)
Let n(g) = -4*g**3 + 18*g**2 - 2*g - 6. Let z(s) = -4*s**3 + 17*s**2 - 3*s - 5. Let c(f) = 5*n(f) - 6*z(f). Factor c(m).
4*m*(m - 2)*(m - 1)
Let s(b) = -b**3 - 12*b**2 + 3*b + 4. Suppose -39 + 15 = -4*h. Let v(d) = -d**3 - d + 1. Let y(u) = h*v(u) - s(u). Factor y(t).
-(t - 1)**2*(5*t - 2)
Let w(l) be the third derivative of l**6/45 - l**5/20 - l**4/12 - l**3/6 - l**2. Let n(x) be the first derivative of w(x). Solve n(u) = 0 for u.
-1/4, 1
Let t(p) = -p**3 + 9*p**2 - 8*p + 3. Suppose a - 9 + 1 = 0. Let u be t(a). Factor -y**2 + 4*y + 4*y**2 - 8*y + 3*y**2 + y**4 - 4*y**u + 1.
(y - 1)**4
Let i(h) = -2*h - 11. Let f be i(-7). Factor 2/5*r**f + 8/5*r + 8/5*r**2 + 0.
2*r*(r + 2)**2/5
Let o = -23 + 23. Let g(l) be the second derivative of 0 - 1/18*l**3 - 1/36*l**4 + o*l**2 + 4*l. Factor g(f).
-f*(f + 1)/3
Let s(p) be the second derivative of p**4/60 + p**3/15 + p**2/10 + 3*p. Factor s(x).
(x + 1)**2/5
Let b = -57 - -81. Find n, given that 9*n**3 - 8*n**2 + 5*n + 3*n**4 - 41*n + 2*n**2 - b = 0.
-2, -1, 2
Factor 0 + 2/13*n**3 + 2/13*n**4 - 2/13*n - 2/13*n**2.
2*n*(n - 1)*(n + 1)**2/13
Let y(f) be the third derivative of -f**5/240 + f**3/24 - 13*f**2. Factor y(u).
-(u - 1)*(u + 1)/4
Let j be -1*(3 - 4) - 1. Suppose -4*i - 10 = -4*z + i, 4*i + 8 = j. Factor z + 1/2*k**2 + k.
k*(k + 2)/2
Factor 26*l**4 + 0*l**2 - 15*l**3 - 10*l**2 - 31*l**4.
-5*l**2*(l + 1)*(l + 2)
Let m(q) be the third derivative of q**7/42 + q**6/3 + q**5/2 - 25*q**4/3 + 125*q**3/6 - q**2. Factor m(n).
5*(n - 1)**2*(n + 5)**2
Let a(l) be the second derivative of -l**7/1260 - l**6/360 + l**4/3 - 4*l. Let u(c) be the third derivative of a(c). Find h such that u(h) = 0.
-1, 0
Suppose -2*q = -2*q + 4*q. Let 0 - 2/7*y**3 + q*y - 4/7*y**2 = 0. What is y?
-2, 0
Let r(c) = -c + 6. Let d be r(3). Factor -12*h**2 - 3*h**d - h**3 + 14 - 4 + 6.
-4*(h - 1)*(h + 2)**2
Suppose 2*w - 40 = -2*w. Solve -14*x - 31*x**4 + 18*x**5 - 11*x**4 + 26*x**3 + 2*x**2 + w*x = 0.
-1/3, 0, 2/3, 1
Let m be (-24)/8 - (-183)/60. Let t(u) be the first derivative of 0*u + 1/4*u**3 + 1 - 1/4*u**2 - m*u**5 + 0*u**4. Find z, given that t(z) = 0.
-2, 0, 1
Let t(p) = 2*p**5 + 4*p**4 + 3*p**3 + 2*p**2 - 5*p - 3. Let m(l) = -l**5 - l**4 - l**2 + l + 1. Let y(k) = 3*m(k) + t(k). Factor y(c).
-c*(c - 2)*(c - 1)*(c + 1)**2
Let f(g) = -2*g**2 - 5*g + 8. Let b(a) = -a**2 - 2*a + 3. Let o(p) = -8*b(p) + 3*f(p). Factor o(x).
x*(2*x + 1)
What is i in 27/4*i**4 - 75/4*i**3 - 9/4*i - 3/2 + 63/4*i**2 = 0?
-2/9, 1
Suppose k - 4*k = -105. Suppose -2*z - 3*z = -k. Suppose -s**2 + 12*s - 1 + 9 + z*s**2 + s**3 = 0. Calculate s.
-2
Let w(j) be the second derivative of -j**5/30 + j**4/9 + j**3/9 - 2*j**2/3 - 2*j. Factor w(g).
-2*(g - 2)*(g - 1)*(g + 1)/3
Let i(z) be the first derivative of 1/3*z**6 - 2*z**2 + 10/3*z**3 - 2/5*z**5 - 3/2*z**4 + 0*z - 7. Determine v, given that i(v) = 0.
-2, 0, 1
Factor 0 - 2/11*z**4 + 0*z**2 - 4/11*z**3 + 0*z.
-2*z**3*(z + 2)/11
Let c(d) = -d**4 + 2*d**3 + 3*d**2 - d - 3. Let q(y) = -y**3 + 1. Let k(s) = -c(s) - q(s). Factor k(a).
(a - 2)*(a - 1)*(a + 1)**2
Let o(d) be the third derivative of -d**7/126 + d**6/24 - 5*d**4/18 + 14*d**2. Let o(u) = 0. Calculate u.
-1, 0, 2
Factor -1 + 30*w**3 + 20*w**2 + 7 - 6 + 20*w**4 + 5*w + 5*w**5.
5*w*(w + 1)**4
Let l(h) be the third derivative of h**6/360 + h**5/60 + h**4/24 - h**3/2 + 6*h**2. Let m(g) be the first derivative of l(g). What is t in m(t) = 0?
-1
Let b(q) be the first derivative of -q**3/7 + 3*q**2/7 - 3*q/7 - 33. Factor b(f).
-3*(f - 1)**2/7
Find w, given that 1112*w**2 - 3110*w**4 - 2411*w**3 - 2378*w**4 + 2951*w**3 - 2916*w**5 + 1600*w**4 - 368*w + 32 = 0.
-1, 2/9
Solve 20*m - 18*m**2 - 12*m + 24*m**4 + 13*m - 9*m**5 + 1 - 12*m**3 - 7 = 0.
-1, 2/3, 1
Let u = 30 + -52. Let k = -65/3 - u. Factor 2/3*a**2 - 1/3*a**3 - k*a + 0.
-a*(a - 1)**2/3
Let a be 5/10 + 1 + 6/8. Factor a*m**3 + 0 + 3/4*m**4 + 9/4*m**2 + 3/4*m.
3*m*(m + 1)**3/4
Let q be 7 - (-1 + 8/2). What is d in 4 - 3 + d**4 - 4 - q*d**4 + 6*d**2 = 0?
-1, 1
Let c(f) be the third derivative of f**8/1344 - f**7/140 + f**6/480 + f**5/10 + f**4/6 + 3*f**2 - 18*f. Let c(w) = 0. Calculate w.
-1, 0, 4
Let b(w) = -w**2 + 8*w - 5. Let g(x) = -8*x**3 - x**2. Let l be g(-1). Let u be b(l). Solve -2*h**u - 2*h**4 - h**3 + 5*h**4 - h**4 + h**5 = 0.
-2, -1, 0, 1
Factor -2/3 + 2/3*o**2 + 2/3*o**3 - 2/3*o.
2*(o - 1)*(o + 1)**2/3
Let w = -113/3 + 38. Determine m so that 2/3 - w*m**3 + 1/3*m - 2/3*m**2 = 0.
-2, -1, 1
Suppose 5*q - 9 = 2*q. Let v = 0 + q. Factor 0*a**3 + 4*a**2 + 3*a**5 - 3*a**3 - 3*a**v - a + 4*a**3 - 4*a**4.
a*(a - 1)**2*(a + 1)*(3*a - 1)
Let l be 5*(0 + 1) + -1. Let z(y) be the first derivative of 0*y**l - 1 + 2/35*y**5 + 2/7*y + 0*y**2 - 4/21*y**3. Determine p so that z(p) = 0.
-1, 1
Let w(k) be the third derivative of -1/180*k**5 + 0*k**3 + 3*k**2 + 0 + 0*k + 1/72*k**4. Determine j, given that w(j) = 0.
0, 1
Let u(w) be the first derivative of w**6/7 + 2*w**5/7 - w**4/14 - 10*w**3/21 - 2*w**2/7 - 1. What is s in u(s) = 0?
-1, -2/3, 0, 1
Let c(p) = 25*p**3 - 65*p**2 + 35*p + 65. Let h(m) = -m**3 + m**2 - m - 1. Let f(b) = -c(b) - 30*h(b). Let f(u) = 0. Calculate u.
-7, -1, 1
Suppose 0 = 4*h - 5*n - 20 - 2, -n = -3*h + 11. Suppose -5*g = -5*q, 0 = -4*q - g + 18 - h. Suppose -7*a - 7 + 25*a - 30*a**q + 3 - 8*a**2 = 0. What is a?
-1, 1/3, 2/5
Let g(h) be the second derivative of 25*h**5/4 - 25*h**4/12 - 35*h**3/2 + 45*h**2/2 + 7*h. Determine u so that g(u) = 0.
-1, 3/5
Let s(c) be the third derivative of c**5/60 - c**3/6 + 15*c**2. Factor s(u).
(u - 1)*(u + 1)
Factor -28/5*i**3 + 4/5*i**4 + 36/5*i**2 - 216/5 + 108/5*i.
4*(i - 3)**3*(i + 2)/5
What is y in y - 5/2*y**2 + 2*y**3 - 1/2*y**4 + 0 = 0?
0, 1, 2
Let 0 + 4/5*c**2 + 0*c = 0. Calculate c.
0
Let v be (-25)/(-2)*(-32)/10. Let r be v/(-42) - (-4)/(-6). Factor -r*c**3 + 4/7*c**2 - 2/7*c + 0.
-2*c*(c - 1)**2/7
Suppose 3*o + 16*o = 76. Let l(c) be the first derivative of 1/4*c - 1/24*c**6 - 1/8*c**2 + 1 + 1/20*c**5 - 1/6*c**3 + 1/8*c**o. Factor l(g).
-(g - 1)**3*(g + 1)**2/4
Solve -10*y**5 + 12*y**3 + 8*y**2 - 2*y - 4*y**4 + 0*y**4 - 3*y**4 - y**4 = 0.
-1, 0, 1/5, 1
Let m(c) be the third derivative of 0 + 1/60*c**6 + 2/15*c**5 - c**2 + 0*c - 1/84*c**8 - 1/6*c**3 - 1/30*c**7 + 1/12*c**4. Factor m(x).
-(x - 1)*(x + 1)**3*(4*x - 1)
Let h(t) be the first derivative of t**6/75 - t**5/25 + 2*t**3/15 - t**2/5 - 3*t - 1. Let x(a) be the first derivative of h(a). Factor x(o).
2*(o - 1)**3*(o + 1)/5
Find k, given that 3/4*k + 3/4*k**3 + 3/2*k**2 + 0 = 0.
-1, 0
Factor 2/3*i**2 + 0*i + 0*i**3 - 1/6*i**4 + 0.
-i**2*(i - 2)*(i + 2)/6
Factor -4*u - 6*u**2 + 2*u**2 + u**2 - 5*u**2 - 4*u**3.
-4*u*(u + 1)**2
Let c = -58 - -58. Let i(x) be the second derivative of 0*x**4 + c - x + 0*x**2 - 1/20*x**5 + 1/6*x**3. Let i(d) = 0. Calculate d.
-1, 0, 1
Let i(v) be the second derivative of -v**5/5 - 4*v**4/3 + 10*v**3/3 + 3*v. Solve i(a) = 0 for a.
-5, 0, 1
Let s(m) be the second derivative of -5*m**4/12 - 5*m**3/6 + 15*m**2 - 29*m. Let s(i) = 0. Calculate i.
-3, 2
Suppose 3/7*i**2 + 3/7*i + 0 = 0. What is i?
-1, 0
Let n