ulate i.
-3
Factor -23/4*x + 3/2 + 7/4*x**2.
(x - 3)*(7*x - 2)/4
Let k(d) = 2*d**3 + 2*d**2 + 2. Let g(x) = x**3 - 4*x**2 + 4*x - 2. Let h be g(2). Let u(j) = -6*j**3 - 5*j**2 + j - 7. Let l(n) = h*u(n) - 7*k(n). Factor l(q).
-2*q*(q + 1)**2
Let y(k) = -k - 6. Let t be y(-8). Let h(j) = j**2 - 6*j - 13. Let o be h(-2). Factor 3/2*v**t + 0 - 3/4*v - 3/4*v**o.
-3*v*(v - 1)**2/4
Let j be ((-6)/9)/((-2)/6). Factor 1/4*t**4 + 13/4*t**j + 1 + 3*t + 3/2*t**3.
(t + 1)**2*(t + 2)**2/4
Find f such that 33*f**5 + 16*f**4 - 9*f**2 - 7*f**4 - 3*f**3 - 36*f**5 + 6*f = 0.
-1, 0, 1, 2
Let n(d) be the first derivative of 0*d**3 + d**3 + 2 + 5*d**2 + 0*d - 2*d**2 + 3*d. Factor n(t).
3*(t + 1)**2
Let w(h) be the first derivative of h**3 + 1 + 0*h + 3/2*h**2. Factor w(m).
3*m*(m + 1)
Let a(w) be the second derivative of 7*w**5/40 - 5*w**4/4 + 3*w**3 - 2*w**2 - 42*w. Suppose a(d) = 0. Calculate d.
2/7, 2
Factor -5/4*g**2 - 5/4 + 5/2*g.
-5*(g - 1)**2/4
Let i be (-40)/(-3) - (-2)/(-6). Let h = -8 + i. Factor -h + 5 - q**4 + q**5.
q**4*(q - 1)
Let l(p) be the first derivative of 4/9*p**3 - 1/6*p**4 - 4/3*p - 4 + 1/3*p**2. Factor l(h).
-2*(h - 2)*(h - 1)*(h + 1)/3
Let h be (0 - 0) + -2*1/(-7). Let n(a) be the first derivative of 1 - 2/7*a + 3/7*a**2 - h*a**3 + 1/14*a**4. Factor n(z).
2*(z - 1)**3/7
Let v(u) be the first derivative of -u**6/45 - 2*u**5/75 + u**4/10 + 2*u**3/45 - 2*u**2/15 + 29. Suppose v(p) = 0. Calculate p.
-2, -1, 0, 1
Let q(m) be the first derivative of 0*m + 0*m**2 - 1 - 1/15*m**3. Factor q(s).
-s**2/5
Let d = -18 - -134/7. Factor -40/7*m + d + 50/7*m**2.
2*(5*m - 2)**2/7
Let z(j) be the third derivative of 0*j - 1/12*j**3 - 2*j**2 + 1/240*j**5 + 0 - 1/96*j**4. Find h such that z(h) = 0.
-1, 2
Suppose 0*i = -i + 5*a - 16, 0 = -3*i - 5*a + 32. Factor 9*h**3 + 50/3*h**2 + 8/3 + 5/3*h**i + 12*h.
(h + 1)*(h + 2)**2*(5*h + 2)/3
Let a be 20/9 - 12/54. Let o be a + ((-120)/(-28))/(-3). Factor 0 + o*j - 2/7*j**2.
-2*j*(j - 2)/7
Let n be 6/(-9) + (-6947)/(-570). Let h = n + -2/95. What is k in -7/2*k**3 + 12*k**4 - h*k**2 - 1/2 - 9/2*k + 8*k**5 = 0?
-1, -1/4, 1
Suppose 2*p - 10 = -3*p. Factor 3*d**p + d**2 + 3*d**2 - 10*d**2.
-3*d**2
Let h(d) be the first derivative of -d**6/360 - d**5/45 - d**4/18 + 3*d**2/2 - 3. Let g(b) be the second derivative of h(b). Solve g(u) = 0 for u.
-2, 0
Let o(i) be the second derivative of -i**7/21 - 5*i**6/3 - 143*i**5/10 + 169*i**4/6 - 36*i. Let o(l) = 0. What is l?
-13, 0, 1
Suppose -z + 6*z - p + 225 = 0, -2*p = -3*z - 135. Let w be (-36)/z*(-10)/(-12). Factor -2/3*n**4 - 1/3*n + 0*n**3 + 0 + 1/3*n**5 + w*n**2.
n*(n - 1)**3*(n + 1)/3
Let k(j) = -j + 12. Let z(x) = x**2 - 8*x - 10. Let g be z(10). Let i be k(g). Solve 0*v + 4*v - i*v**2 + 0*v = 0.
0, 2
Factor 2/3 - a - a**4 - a**2 + 7/3*a**3.
-(a - 1)**3*(3*a + 2)/3
Let k be (3 + -4)*(-1 + 4). Let v(q) = 6*q**3 + 3*q. Let g(p) = p**3 + p. Let m(w) = k*g(w) + v(w). Suppose m(i) = 0. Calculate i.
0
Let z(s) = 26*s. Let u be z(1). Let g = u + -23. Determine f so that -2/5*f**g + 0 - 2/5*f**2 + 4/5*f = 0.
-2, 0, 1
Determine w so that -1/2*w + 0 - 1/4*w**3 - 3/4*w**2 = 0.
-2, -1, 0
Let i be (0/(-2))/(-8 + 10). Let s(u) be the first derivative of -7/8*u**4 + i*u**2 + 0*u - 1/3*u**3 + 1 - 1/2*u**5. Determine v so that s(v) = 0.
-1, -2/5, 0
Let o(z) be the first derivative of z**4/6 + 2*z**3/9 - 4*z**2/3 - 8*z/3 - 29. Factor o(y).
2*(y - 2)*(y + 1)*(y + 2)/3
Suppose 2*d = 3*d - 3*d. Factor -2/9*f**2 + 2/9 + d*f.
-2*(f - 1)*(f + 1)/9
Let q(y) be the second derivative of 0 - 5*y - 1/5*y**2 - 1/150*y**6 + 1/20*y**5 + 7/30*y**3 - 3/20*y**4. Let q(x) = 0. Calculate x.
1, 2
Let a = 10 - 10. Let z(t) be the third derivative of t**2 + 1/90*t**5 + 1/18*t**4 + a + 1/9*t**3 + 0*t. Let z(w) = 0. What is w?
-1
Factor 20/3*q + 8*q**2 + 2/3*q**4 + 2 + 4*q**3.
2*(q + 1)**3*(q + 3)/3
Let w = 2 + -1. Let j be (w - 0)/((-5)/(-10)). Factor -4*a**2 + 12*a**j - a + 3*a.
2*a*(4*a + 1)
Let y be (3/(-2))/((-6)/8). Factor -5*o**y - 4*o**2 + 5*o**2 + o**2.
-3*o**2
Factor 6*p**4 - 18*p**2 - 14*p**2 + 45*p**2 + 63*p**2 + 40*p**3 + 24*p - 18.
2*(p + 1)*(p + 3)**2*(3*p - 1)
Solve -15/2*p**2 - 5*p + 5/2 = 0 for p.
-1, 1/3
Let d(z) be the second derivative of -z + 1/21*z**7 + 0*z**6 + 1/3*z**3 + 0*z**4 - 1/5*z**5 + 0 + 0*z**2. Suppose d(a) = 0. Calculate a.
-1, 0, 1
Let h(o) = o**2. Let d(b) = -2*b**3 - 8*b**2 + 4*b. Let a(f) = d(f) + 6*h(f). Factor a(w).
-2*w*(w - 1)*(w + 2)
Let f(x) be the third derivative of x**4/24 - x**3/6 - x**2. Let k be f(3). Suppose -w**2 + 5*w**3 - 2*w**3 - k*w**3 = 0. Calculate w.
0, 1
Let h(p) be the third derivative of p**5/330 + 7*p**4/132 + 2*p**3/11 - 17*p**2. Determine a, given that h(a) = 0.
-6, -1
Let r(q) = -q**2 - 5*q - 1. Let m(s) = -3 - 4*s - s**2 + 0*s**2 + 2. Let z be (-24)/(-10) - 2/5. Let j(i) = z*r(i) - 3*m(i). Factor j(x).
(x + 1)**2
Let r(j) be the third derivative of j**8/84 - 4*j**7/105 - 2*j**6/15 + 2*j**5/15 + j**4/2 - 24*j**2. Factor r(n).
4*n*(n - 3)*(n - 1)*(n + 1)**2
Factor 12 + 0*t - 3*t + 3*t**2 - 9*t.
3*(t - 2)**2
Let w(d) be the second derivative of -2/33*d**3 + 0 - 6*d + 1/11*d**2 + 1/66*d**4. Factor w(h).
2*(h - 1)**2/11
Let f(n) be the second derivative of -5*n**4/12 - 5*n**3/2 + 10*n**2 - 9*n. Determine i, given that f(i) = 0.
-4, 1
Let r(s) be the second derivative of s**6/240 - s**4/16 + s**3/6 + s**2 + 2*s. Let i(o) be the first derivative of r(o). Factor i(k).
(k - 1)**2*(k + 2)/2
Let f(z) = z**4 - z**3 - z**2 + 1. Let y(x) = -5*x**4 + 20*x**3 - 5*x**2 - 10. Let c(r) = -10*f(r) - y(r). Find w, given that c(w) = 0.
-3, 0, 1
Suppose -4*p + 10 = p. Let h(f) be the first derivative of 2/5*f + 2/15*f**3 - p - 2/5*f**2. Factor h(g).
2*(g - 1)**2/5
Let z(q) = -q**3 + 8*q**2 + 2*q - 10. Let p be z(8). Solve 21/2*b + 9/2 + p*b**2 = 0 for b.
-1, -3/4
Let y be -4*(1 - (-12)/(-8)). Let o be y/(-2*52/(-16)). Factor -2/13*c**4 + 0*c**2 - 4/13*c**3 + o*c + 2/13.
-2*(c - 1)*(c + 1)**3/13
Suppose 0 - 30 = -6*c. Let k(t) be the first derivative of -2/9*t**3 + 2/15*t**c + 0*t + 1/2*t**4 - 1/3*t**2 + 3 - 2/9*t**6. Suppose k(u) = 0. What is u?
-1, -1/2, 0, 1
Suppose -2*n - 457 + 175 = 0. Let f = 707/5 + n. Determine q, given that 0 + 2/5*q**2 + f*q**3 - 4/5*q = 0.
-2, 0, 1
Let h be 1/(5/(-8)) - -2. Let s = 8/7 - 26/35. Factor 0 + 0*q - 4/5*q**2 + s*q**4 - h*q**3.
2*q**2*(q - 2)*(q + 1)/5
Let w(d) be the third derivative of 0 - 1/360*d**5 + 1/144*d**4 + 0*d**3 + 0*d - d**2. Factor w(o).
-o*(o - 1)/6
Let l be (-8)/(-6) + (-4)/(-6). Let d(w) = 17*w**2 + 17*w + 9. Let z(p) = -4*p**2 - 4*p - 2. Let t(m) = l*d(m) + 9*z(m). Factor t(j).
-2*j*(j + 1)
Factor 4/3*g + 0 - 10/3*g**2 - 14/3*g**3.
-2*g*(g + 1)*(7*g - 2)/3
Let x(c) be the second derivative of c**4/3 - 5*c**3/6 - 2*c**2 + c. Let j(l) = 0*l - 8*l + 6*l**2 - 1 - 5. Let r(d) = 5*j(d) - 8*x(d). Factor r(a).
-2*(a - 1)*(a + 1)
Let q = 193/30 - 21/10. Solve -13/3*p**3 + q*p - 20/3*p**4 + 2/3 + 6*p**2 = 0.
-1, -2/5, -1/4, 1
Let f(p) = -p**2 - 1. Let w(v) = 2*v - 2. Suppose 21 = 4*a - 5*a + 4*q, q = a + 6. Let l(n) = a*w(n) + 2*f(n). Factor l(g).
-2*g*(g + 1)
Suppose 2 - 2*u**2 - 1 - 2 + 3 = 0. What is u?
-1, 1
Factor 6/5 - 2/5*v**2 + 4/5*v.
-2*(v - 3)*(v + 1)/5
Let d(w) be the third derivative of -w**9/1890 + w**8/3360 + 5*w**4/24 - w**2. Let q(l) be the second derivative of d(l). Factor q(f).
-2*f**3*(4*f - 1)
Let y be -1*1*(-1 + 1). Suppose 2*c = y, -x + 0*x + 2*c = -2. Determine t so that 2*t**x + t**4 + t**2 - t**3 - 4*t**2 + t**5 = 0.
-1, 0, 1
Let l be ((-6)/(-4))/((-6)/(-40)). Suppose 3*i + 2*i = l. Suppose 2*r + 2*r**i - r - r**2 = 0. What is r?
-1, 0
Let p(m) be the second derivative of -m**4/4 - 7*m**3 - 147*m**2/2 + 10*m. Factor p(j).
-3*(j + 7)**2
Let q(o) be the first derivative of 1/420*o**6 + 0*o + 1 + 1/2*o**2 + 1/21*o**4 - 2/105*o**5 + 0*o**3. Let v(p) be the second derivative of q(p). Factor v(b).
2*b*(b - 2)**2/7
Factor 66*m - 121/2*m**2 - 18.
-(11*m - 6)**2/2
Let u = -4/617 - -8674/5553. Determine l so that -4/3*l**3 - 4/9 + 2/9*l + u*l**2 = 0.
-1/2, 2/3, 1
Suppose -15 = -5*a, -3*a + 12 = -3*j + a. Let s(u) be the first derivative of 1/3*u**3 - 2 + 0*u**2 + j*u. Factor s(i).
i**2
Determine i, given that 6*i**2 + 7*i**2 + 2*i - 2*i**2 + 9*i**3 = 0.
-1, -2/9, 0
Let a(s) be the first derivative of -s**6/