 y*d**3 - 4/3*d - 2. Suppose m(u) = 0. Calculate u.
-1, 2
Let r(h) = 3*h**5 + 5*h**4 + 4*h**3 - 3*h**2 - 6*h - 3. Let v(p) = p**5 - p**4 + p**2 - 1. Let n(m) = r(m) - v(m). Factor n(l).
2*(l - 1)*(l + 1)**4
Factor 0 - 2/7*n**2 + 0*n + 2/7*n**3.
2*n**2*(n - 1)/7
Let k = 441/5 + -88. Determine f, given that 2/5*f - 1/5*f**2 - k = 0.
1
Let o(v) be the first derivative of -2*v**5/5 + v**4/2 + 2*v**3/3 - v**2 + 15. Solve o(m) = 0 for m.
-1, 0, 1
Let x(y) be the second derivative of -y**4/60 - 4*y**3/15 - 8*y**2/5 - 5*y. Suppose x(r) = 0. What is r?
-4
Let t be (-28)/(-35)*(-10)/(-4). Determine x so that 16*x - 6*x**t - 8*x + 3*x**4 + 3 - 8*x = 0.
-1, 1
Factor -21*f**2 + 17*f**2 - 2*f**3 - 2*f**3.
-4*f**2*(f + 1)
Let f(y) be the third derivative of 0 - 5*y**2 + 0*y**3 - 3/40*y**6 - 1/8*y**4 + 0*y - 3/20*y**5 - 1/70*y**7. Factor f(x).
-3*x*(x + 1)**3
Let c(t) = -t**2 + 4*t. Suppose 2*f = p - 13, -3*p - 6 = -f + 4*f. Let x be c(p). Find z such that -z**4 - 2*z**3 + 4 - 3 + 0*z**3 + x*z - z = 0.
-1, 1
Let c(y) be the first derivative of y**5/10 - y**4/4 + y**2/2 - y/2 + 8. Suppose c(k) = 0. What is k?
-1, 1
Suppose -3*p - 10 = -5*w - 1, 3*w - 1 = 4*p. Let o(i) = i**2 - i - 1. Let n(l) = l**4 - 2*l - 1. Let t(y) = p*o(y) - n(y). Factor t(r).
-(r - 1)**2*(r + 1)**2
Let w = 12 - 9. Let i(a) be the first derivative of -16/7*a**2 + 0*a + 12/7*a**4 + 0*a**w + 1/7*a**6 - 32/35*a**5 + 2. Factor i(m).
2*m*(m - 2)**3*(3*m + 2)/7
Let u(n) = -2*n**2 - 6*n + 12. Let t(d) = -3*d**2 - 6*d + 13. Suppose -4*h + 20 = h. Let p(v) = h*u(v) - 3*t(v). Factor p(l).
(l - 3)**2
Let m(u) be the first derivative of -u**4/72 + u**2/12 - 4*u - 5. Let l(d) be the first derivative of m(d). Solve l(n) = 0.
-1, 1
Let g(y) be the second derivative of -5*y**7/14 - 3*y**6/10 + 3*y**5/10 - 6*y. Determine a so that g(a) = 0.
-1, 0, 2/5
Let -3 - 5*j - 7/3*j**2 - 1/3*j**3 = 0. What is j?
-3, -1
Let p be 6/18*-3 - 12/(-10). Suppose -2*x + 6*x = 0. Factor -3/5*c**3 + 4/5*c**2 + x - p*c.
-c*(c - 1)*(3*c - 1)/5
Let k(y) be the third derivative of y**7/840 - y**6/160 + y**5/80 - y**4/96 + 7*y**2. Let k(i) = 0. Calculate i.
0, 1
Factor -15 + 5*s**4 - 8*s + 7*s**2 + 20*s**3 - 15*s + 3*s**2 + 3*s.
5*(s - 1)*(s + 1)**2*(s + 3)
Let m(y) = 5*y**3 + y**2 - 8*y - 2. Let f(v) = 36*v**3 + 6*v**2 - 57*v - 15. Let i(r) = -2*f(r) + 15*m(r). Factor i(c).
3*c*(c - 1)*(c + 2)
Let i(u) be the third derivative of -u**6/1800 - u**5/150 - u**4/30 - u**3/3 - 4*u**2. Let v(k) be the first derivative of i(k). Factor v(x).
-(x + 2)**2/5
Factor 1/2*g**3 + 5/2*g**2 + 7/2*g + 3/2.
(g + 1)**2*(g + 3)/2
Find f such that -5/4*f**3 + 3/2*f**2 - 2 + 1/4*f**4 + f = 0.
-1, 2
Let p(m) be the first derivative of -m**4/4 + 2*m**3/3 + m**2/2 - 2*m - 1. Find h such that p(h) = 0.
-1, 1, 2
Let u(f) be the second derivative of f**4/36 - 4*f**3/9 - 27*f. Suppose u(m) = 0. Calculate m.
0, 8
Let n(p) be the first derivative of -4*p**3/15 - 6*p**2/5 - 8*p/5 + 9. Solve n(a) = 0.
-2, -1
Factor -23/9*f + 4/9*f**4 + 32/9*f**2 - 19/9*f**3 + 2/3.
(f - 2)*(f - 1)**2*(4*f - 3)/9
Let g(t) be the first derivative of -1 + 0*t - 3/20*t**4 - 3/10*t**2 - 2/5*t**3. Solve g(a) = 0.
-1, 0
Let f be ((-18)/12)/((-6)/2). Let t(y) be the first derivative of -2*y + 2/3*y**3 + f*y**4 - 1 - y**2. Factor t(u).
2*(u - 1)*(u + 1)**2
Let x(h) = -7*h**3 - 4*h**2 + 13*h - 10. Let w(k) = 6*k**3 + 3*k**2 - 12*k + 9. Suppose 3*g - 3 - 9 = 0. Let o(l) = g*w(l) + 3*x(l). Factor o(j).
3*(j - 1)**2*(j + 2)
Let f = -4048/5 + 810. Factor -4/15 + 0*v**2 + f*v - 2/15*v**3.
-2*(v - 1)**2*(v + 2)/15
Suppose z - 2*z - 8 = 0. Let q = -6 - z. Factor 0*l**q + l + 3*l**2 - 3*l**2 + 2*l**2 - 2*l**4 - l**5.
-l*(l - 1)*(l + 1)**3
Suppose -3*a = a - 20. Suppose -4*w = -11 - a. Suppose -2/3*v**2 + 0 - 20/3*v**3 - 16/3*v**w + 2/3*v = 0. Calculate v.
-1, -1/2, 0, 1/4
Suppose 195 = -4*f - 13. Let p be (-5)/f - (-4)/26. Solve 3/4*a**4 + 0 + 3/4*a**3 + 0*a + p*a**5 + 1/4*a**2 = 0.
-1, 0
Let u(q) be the first derivative of -q**3/6 + 7*q**2/16 + q/4 - 6. Factor u(r).
-(r - 2)*(4*r + 1)/8
Let r = 16/11 + -85/66. Factor 1/6*x**4 + 0 - 1/6*x**5 - r*x**2 + 0*x + 1/6*x**3.
-x**2*(x - 1)**2*(x + 1)/6
Let y(d) = 7*d**2 + d. Let s(h) = -36*h**2 - 6*h. Let a(f) = -4*s(f) - 21*y(f). Factor a(k).
-3*k*(k - 1)
Let r be ((-9)/(-8))/((-12)/(-16)). What is u in 0*u**2 + 0 - r*u**3 + 3/4*u**4 + 0*u = 0?
0, 2
Let n(w) = w**3 - 4*w**2 + 3*w + 4. Let h be n(3). Find b, given that 2*b**2 - 2 - h*b + 6 - 10 = 0.
-1, 3
Let t be ((-4)/(-18))/1*(-1 - -2). Let b = -410/3 + 138. Let -b*g - 2 - t*g**2 = 0. What is g?
-3
Let r(l) be the second derivative of l**7/4620 - 5*l**3/3 - 4*l. Let d(s) be the second derivative of r(s). Determine q so that d(q) = 0.
0
Let m(g) be the first derivative of g**6/42 - 4*g**5/35 + g**4/7 + 9. Factor m(w).
w**3*(w - 2)**2/7
Let h(z) be the second derivative of -z**4/20 + 4*z**3/5 + 47*z. Determine r so that h(r) = 0.
0, 8
Let s(c) = -c**2 + 7*c + 12. Let o be s(8). Solve 2/9*l**3 + 0*l + 0*l**2 - 8/9*l**o + 0 = 0.
0, 1/4
Let b(w) be the second derivative of -1/20*w**5 + 1/6*w**3 - w - 1/2*w**2 + 0 + 1/12*w**4. Solve b(q) = 0 for q.
-1, 1
Let t(a) be the second derivative of -a**6/6 + 7*a**5/4 - 15*a**4/2 + 50*a**3/3 - 20*a**2 - 55*a. Factor t(k).
-5*(k - 2)**3*(k - 1)
Let o be 135/27 + 22/(-5). Determine s, given that -1/5*s**2 - o*s - 2/5 = 0.
-2, -1
Let r(c) be the first derivative of -1/2*c + 1/4*c**2 + c**3 - 3. What is p in r(p) = 0?
-1/2, 1/3
Suppose -8 = -4*z + 4*y, -6*z = -4*z - 3*y - 3. Factor -w**2 - 2*w**z + 7*w**2 - 8 + 0*w**2.
-2*(w - 2)**2*(w + 1)
Factor 56*v**2 - 152*v**5 - 44*v + 8 - 64*v**4 + 16*v**3 - 204*v**5 + 384*v**5.
4*(v - 1)**3*(v + 1)*(7*v - 2)
Let u be ((-24)/72)/((-92)/24 + 3). Factor -u*p**4 - 2/5*p**3 + 0 + 0*p + 0*p**2.
-2*p**3*(p + 1)/5
Let d(w) be the first derivative of -w**4/24 - w**3/9 + 7*w**2/12 - 2*w/3 - 28. Factor d(h).
-(h - 1)**2*(h + 4)/6
Let i(s) = -18*s - 2. Let y be i(2). Let d = 157/4 + y. Determine o so that -1/2*o + 0 + 3/4*o**2 + d*o**3 = 0.
-1, 0, 2/5
Let t(i) = 4*i**3 - 19*i**2 + 26*i - 1. Let u = -13 - -12. Let p(a) = a**3 - a**2 - a - 1. Let k(w) = u*p(w) + t(w). Solve k(c) = 0.
0, 3
Let g(p) be the third derivative of p**8/336 - 2*p**7/175 - 17*p**6/200 + 41*p**5/150 + 13*p**4/10 - 12*p**3/5 + 23*p**2. What is k in g(k) = 0?
-2, 2/5, 3
Let w(n) be the second derivative of n**6/135 + n**5/30 - 4*n**3/27 - 5*n. Find l such that w(l) = 0.
-2, 0, 1
Let s(i) = -i**2 - 1. Let t(f) = 7*f**2 + 2*f + 5. Let v = 4 + -4. Suppose -w - 2*j - 10 = -5*j, 4*j - 12 = v. Let o(h) = w*t(h) - 5*s(h). Solve o(n) = 0 for n.
-1, 0
Suppose 12 = 5*i - 4*u, -u + 5*u + 12 = 0. Factor -1/2 + 1/2*c**2 + i*c.
(c - 1)*(c + 1)/2
Let b(i) be the second derivative of i**8/23520 + i**7/4410 - i**6/2520 - i**5/210 - i**4/4 + 4*i. Let a(u) be the third derivative of b(u). Factor a(o).
2*(o - 1)*(o + 1)*(o + 2)/7
Determine d, given that 3*d**2 + 16 + 16*d - 5*d**2 + 6*d**2 = 0.
-2
Let n(r) = -75*r**5 + 135*r**4 - 54*r**3 + 30*r**2 + 18. Let f(c) = c**3 + c**2 + 1. Let o(x) = 18*f(x) - n(x). Factor o(v).
3*v**2*(v - 1)*(5*v - 2)**2
Suppose 0 = 3*i + 1 - 10. Suppose 0 = -3*p + 4*j - 4, 0 = 2*p - 0*p + j - 12. Let 2/5*c**p + 4/5*c**i - 4/5*c**2 + 2/5 - 2/5*c - 2/5*c**5 = 0. Calculate c.
-1, 1
Let r(b) be the second derivative of 1/180*b**6 + 2/3*b**3 + 0*b**2 + 0*b**4 + 1/60*b**5 + 0 + b. Let l(s) be the second derivative of r(s). Factor l(v).
2*v*(v + 1)
Let w(f) = 2*f**2 - 7*f + 1. Let n(q) = q**2 - 3*q. Let t(i) = 5*n(i) - 2*w(i). Factor t(d).
(d - 2)*(d + 1)
Let q be (-58)/(-6) + 12/(-18). Suppose u = 4*j - 12, 3*u + 5*j = q + 6. Solve -2*w**2 + 4*w**2 + u*w + 2*w = 0 for w.
-1, 0
Let z be (-65)/273*8/(-10). Let c(j) be the first derivative of 0*j**4 - z*j**3 + 4/35*j**5 - 1/21*j**6 + 0*j + 1/7*j**2 - 2. Determine d so that c(d) = 0.
-1, 0, 1
Factor -4*s**4 - 3*s**3 - s**3 + 138*s**5 + 4*s**2 - 134*s**5.
4*s**2*(s - 1)**2*(s + 1)
Let h(q) = q**5 - q**2 + q + 1. Let z(u) = 2*u**5 + 2*u**4 - 3*u**2 + 1. Let o(r) = -3*h(r) + 3*z(r). Solve o(p) = 0.
-1, 0, 1
Suppose 0 = 5*k - 2*c - 4, 4*k - 3*c + 9 - 8 = 0. What is o in 1/4*o**k + 1/2*o + 0 = 0?
-2, 0
Factor 0*c - 118*c**3 + 28*c**3 - 8*c - 8*c**4 - 48*c**2 - 42*c**4.
-2*c*(c + 1)*(5*c + 2)**2
Let d be (-25)/(-5) + 6/(-2). F