rst derivative of 2 - 4/3*j**3 + 3/2*j**4 + 0*j**2 + 0*j - 2/5*j**5. Factor l(c).
-2*c**2*(c - 2)*(c - 1)
Factor -2/7 + 4/7*p + 2/7*p**4 + 0*p**2 - 4/7*p**3.
2*(p - 1)**3*(p + 1)/7
Let y = 102 - 102. Suppose -5/4*c**3 - c**4 + 0*c - 1/4*c**2 + y = 0. What is c?
-1, -1/4, 0
Factor 3*n**2 - 2*n**2 + 6*n**4 - 8*n**3 - n**3 + 2*n**2.
3*n**2*(n - 1)*(2*n - 1)
Let p be 3 + (-1)/4*40/6. Factor -p + 2/3*q**2 + 2/3*q.
2*(q - 1)*(q + 2)/3
Let m(v) be the third derivative of v**7/840 - v**5/40 + v**4/12 + v**3/3 + v**2. Let u(y) be the first derivative of m(y). Determine p so that u(p) = 0.
-2, 1
Let s be (-2)/(-1) - (-4 + -6). Suppose -2*l + 1 = -g, s = -3*l - 4*g + 41. Find f such that 4*f**2 - 2*f**l + 3*f - f - 2*f - 2*f = 0.
0, 1
Solve 4/7*u**4 - 4/7*u**5 - 4/7*u**2 + 0*u + 4/7*u**3 + 0 = 0 for u.
-1, 0, 1
Let n(h) = h + 7. Let o be n(-6). Factor -1 + o + 0 + 2*r**2.
2*r**2
Let j(m) = -100*m**3 + 10*m**2 + 100*m - 55. Let f(r) = 9*r**3 - r**2 - 9*r + 5. Let b(t) = 45*f(t) + 4*j(t). Factor b(n).
5*(n - 1)**2*(n + 1)
Determine a so that -2/9*a**2 + 0 + 4/9*a = 0.
0, 2
Let u = -5 + -3. Let t be (9/(-24))/(2/u). Let 1/2 - 2*q**2 - t*q = 0. Calculate q.
-1, 1/4
Let g(c) = 3*c**3 - 2*c**2 + 5*c. Let w(r) = -10*r**3 + 5*r**2 - 15*r - 1. Let h(v) = -14*g(v) - 4*w(v). Factor h(z).
-2*(z - 2)*(z - 1)**2
Suppose -2*b + 5*n + 22 = 0, -3*b + 2 + 9 = -2*n. Let x be (-2 + 8/2)/b. Solve 2/5*v**5 + 2/5*v - 4/5*v**3 + 0*v**4 + 0*v**x + 0 = 0 for v.
-1, 0, 1
Let i(f) = 0*f**2 + 2 - 5*f + 2 + 3*f**3 + 2*f**2 - 6*f**2. Let b(t) = 14*t**3 - 21*t**2 - 25*t + 21. Let z(y) = 4*b(y) - 22*i(y). Find d such that z(d) = 0.
-1, 2/5, 1
Let f(r) be the first derivative of -r**2 + 1/3*r**3 - 3 + r. Factor f(i).
(i - 1)**2
Let l(j) be the first derivative of -2 + 1/7*j**2 + 2/21*j**3 + 0*j. Suppose l(k) = 0. Calculate k.
-1, 0
Factor w**4 + 5*w**3 - 5*w**4 + w**2 - 5*w**2 + 3*w**3.
-4*w**2*(w - 1)**2
Factor 13*r**3 + 2*r**5 - 3*r**3 + 6*r**4 + 4*r**2 - 5*r**4 + 7*r**4.
2*r**2*(r + 1)**2*(r + 2)
Let q(a) be the first derivative of -a**3/3 + a**2 - a + 1. Factor q(b).
-(b - 1)**2
Let y(k) be the second derivative of -k**7/105 - k**6/75 + k**5/10 + k**4/30 - 8*k**3/15 + 4*k**2/5 - 6*k. Let y(f) = 0. Calculate f.
-2, 1
Let v(k) = k**5 + k**2 + k - 1. Let d(o) = 10*o**5 + 13*o**4 + 15*o**3 + 13*o**2 + 7*o - 6. Let x(w) = d(w) - 6*v(w). Suppose x(m) = 0. Calculate m.
-1, -1/4, 0
Suppose -5*y + 7 = -8. Find c such that -c**2 - 2 + y + 0 - 2*c - 2 = 0.
-1
Let n be 0/(-4)*2/(-2). Suppose -4*i + i + 6 = n. Determine t so that 2/7*t**i + 0*t**3 - 2/7*t**4 + 0 + 0*t = 0.
-1, 0, 1
Let d(j) = 7*j**2 + 6*j + 2. Let l(v) = -v**2 - 1. Let k(w) = -d(w) - 6*l(w). Let o be k(-6). Find r, given that 2*r - o*r + r + r**2 = 0.
0, 1
Let n(f) = 3*f**3 - 2*f**2 - 3*f - 2. Let l(a) = -a**3 + a**2 + a + 1. Let p(d) = 6*l(d) + 3*n(d). Find q such that p(q) = 0.
-1, 0, 1
Let l(p) be the third derivative of -p**9/37800 + p**7/6300 + p**4/4 - 4*p**2. Let h(b) be the second derivative of l(b). Suppose h(y) = 0. What is y?
-1, 0, 1
Let v = -83 - -499/6. Let k(d) be the second derivative of 1/36*d**4 - d + 1/9*d**3 + v*d**2 + 0. Factor k(w).
(w + 1)**2/3
Let i be ((-17)/(-6))/17*4. Determine n, given that i - 2/3*n**2 - 7/3*n + 7/3*n**3 = 0.
-1, 2/7, 1
Let o(n) be the second derivative of -n**4/48 - n**3/24 - 7*n. Factor o(m).
-m*(m + 1)/4
Let f(w) = -5*w + 17. Let x be f(3). Factor -2/9*o**3 - 2/9*o + 0 - 4/9*o**x.
-2*o*(o + 1)**2/9
Factor -8*s - 2 + 2 + 12*s - 2*s**2.
-2*s*(s - 2)
Suppose 5*p - 5*b = -15, 5 = 5*p + 3*b + 2*b. Let x be p/(9/6 + -2). Factor -4/3*l - 2/3*l**4 + 0*l**x + 2/3 + 4/3*l**3.
-2*(l - 1)**3*(l + 1)/3
Let i = -1/23 - -59/299. Solve 2/13 - 6/13*v - i*v**3 + 6/13*v**2 = 0.
1
Let f(o) be the third derivative of -2*o**2 + 1/35*o**7 + 1/30*o**5 - 1/12*o**6 + 0*o**3 + 0 + 1/12*o**4 + 0*o. Suppose f(a) = 0. What is a?
-1/3, 0, 1
Let x = -6 + 10. Let g = 1 - -5. Factor -7*m**3 - 2*m**4 + m - 2*m**x + 4*m**2 - g*m**2.
-m*(m + 1)**2*(4*m - 1)
Let w be (-2573)/(-1085) - 18/10. Factor 2/7*y**2 - 6/7 - w*y.
2*(y - 3)*(y + 1)/7
Let a be 33/(-55) + (-24)/10. Let f = a - -5. Factor 2/7 + 2/7*l**f - 4/7*l.
2*(l - 1)**2/7
Suppose 4*f + 4 - 16 = 0. Let h(o) be the first derivative of 2 + 2*o**f - 3*o - 3/2*o**2. Factor h(t).
3*(t - 1)*(2*t + 1)
Let i(s) be the third derivative of 9*s**6/80 - 19*s**5/20 + 11*s**4/4 - 2*s**3 - 27*s**2. Determine p so that i(p) = 0.
2/9, 2
Let i = 1/129 - 2377/7095. Let u = i - -346/385. Factor -4/7 + u*n**2 - 2/7*n**3 + 2/7*n.
-2*(n - 2)*(n - 1)*(n + 1)/7
Find t, given that -33*t + t**3 + 33*t + t**2 = 0.
-1, 0
Let o(z) be the third derivative of -z**8/4200 + z**7/1050 - z**6/900 + 4*z**3/3 + 6*z**2. Let h(f) be the first derivative of o(f). Solve h(l) = 0 for l.
0, 1
Suppose 0*x - 2*x - 80 = 0. Let y = -159/4 - x. What is z in y + z**3 - 1/4*z**2 - z = 0?
-1, 1/4, 1
Determine z, given that z**3 + 0*z + 2*z**2 - 10 + 2 - 4*z = 0.
-2, 2
Let a(h) = 9*h**3 + 5*h**2 - h - 3. Let p(v) = 19*v**3 + 9*v**2 - 3*v - 7. Suppose 2*g + 0 = 6. Let j(m) = g*p(m) - 7*a(m). Find f, given that j(f) = 0.
-1, -1/3, 0
Let c(j) be the second derivative of 5*j - 1/78*j**4 + 0*j**2 + 0 - 1/39*j**3. Let c(t) = 0. What is t?
-1, 0
Let d(j) be the third derivative of -j**9/15120 + j**8/2240 - j**7/1260 + j**4/8 - j**2. Let m(r) be the second derivative of d(r). Factor m(x).
-x**2*(x - 2)*(x - 1)
Let i(m) = -7*m**3 + 9*m**2 + 2*m - 4. Let u(v) = -v**3 + v**2. Let w be (9/18)/((-1)/4). Let k(r) = w*i(r) + 10*u(r). What is h in k(h) = 0?
-1, 1, 2
Solve 45/2 + 240*r + 640*r**2 = 0.
-3/16
Let v = 9 - 5. Find x, given that 29*x**4 + 8 - 68*x + 122*x**2 - 56*x**4 - 54*x**v + 117*x**3 = 0.
-1, 2/9, 2
Let l(d) be the third derivative of d**8/280 - d**7/175 - 3*d**6/100 + d**5/50 + d**4/10 + 7*d**2. Let l(q) = 0. What is q?
-1, 0, 1, 2
Let d = 349 - 2439/7. Solve 0 - 2/7*s**3 - 2/7*s - d*s**2 = 0.
-1, 0
Let y(f) be the second derivative of f**5/5 - 4*f**4/3 + 8*f**3/3 + 4*f. What is p in y(p) = 0?
0, 2
Let m(y) = -8*y**5 - y**4 - 5*y**3 + 9*y**2 + 6*y - 8. Let c(b) = 7*b**5 + b**4 + 4*b**3 - 8*b**2 - 5*b + 7. Let u(s) = 7*c(s) + 6*m(s). Factor u(d).
(d - 1)**2*(d + 1)**3
Factor 6/5 - 30*z**3 - 9*z + 24*z**2 - 21/5*z**5 + 18*z**4.
-3*(z - 1)**4*(7*z - 2)/5
Let 0 + 4/9*h**2 - 2/9*h + 2/9*h**3 - 4/9*h**4 = 0. What is h?
-1, 0, 1/2, 1
Let i(x) = -x**2 + x + 1. Let m(q) = -q**2 - q + 4. Let r(y) = -2*i(y) + m(y). Solve r(f) = 0 for f.
1, 2
Let j(w) = -5*w**2 + 8*w - 9. Let u(q) = -16*q**2 + 24*q - 28. Let m(h) = 10*j(h) - 3*u(h). Factor m(i).
-2*(i - 3)*(i - 1)
Let n = 37 - 21. Suppose x = -x - 4*p + n, 3*x - 18 = -4*p. Factor 2 - 4*y**2 - 2*y**3 + 2*y + x*y**2 + 0*y**3.
-2*(y - 1)*(y + 1)**2
Let l(c) be the second derivative of -c**8/280 + c**7/42 - c**6/20 + c**5/30 - 2*c**3/3 - 6*c. Let k(v) be the second derivative of l(v). Factor k(n).
-2*n*(n - 2)*(n - 1)*(3*n - 1)
Let j(v) be the first derivative of -6*v**5/5 - 4*v**4 - 8*v**3/3 - 7. Factor j(d).
-2*d**2*(d + 2)*(3*d + 2)
Find i, given that 6/17*i - 6/17*i**3 - 14/17*i**2 + 4/17 + 10/17*i**4 = 0.
-1, -2/5, 1
Find o, given that 5/2*o**2 + 5/4*o**3 + 0*o + 0 = 0.
-2, 0
Let z = 10 - 8. Factor -3*d**z + 7 - 7*d**2 + 1 + 16*d.
-2*(d - 2)*(5*d + 2)
Let s = -4 - -5. Suppose 2 = n - s. Find f, given that -2*f**3 - 4*f**2 + 10*f**5 - f**n + 16*f**4 + 5*f**3 = 0.
-1, 0, 2/5
Let m(n) be the first derivative of -2*n**5/45 - n**4/18 + 2*n**3/9 + 5*n**2/9 + 4*n/9 - 7. Let m(c) = 0. What is c?
-1, 2
Let r(y) be the third derivative of 4/21*y**3 + 6*y**2 - 1/210*y**6 + 4/105*y**5 + 0 - 5/42*y**4 + 0*y. Factor r(n).
-4*(n - 2)*(n - 1)**2/7
Let x be (-1 + 10/6)/(2/9). Let -1/5*d**2 - 3/5*d**4 + 0 + d**x - 1/5*d = 0. Calculate d.
-1/3, 0, 1
Factor 60*p**3 + 5*p**4 - 18*p**4 - 22*p**4 + 20*p**2.
-5*p**2*(p - 2)*(7*p + 2)
Suppose -15*z**2 - z**3 + 14*z**2 - z**4 + z**2 = 0. Calculate z.
-1, 0
Let b(c) be the second derivative of -c**6/90 - c**5/60 + c**4/36 + c**3/18 - 16*c. Factor b(a).
-a*(a - 1)*(a + 1)**2/3
Let -1/2 - 1/4*w + 1/4*w**2 = 0. What is w?
-1, 2
Let l(v) be the second derivative of -v**7/14 - 11*v**6/90 + 7*v**5/60 + 11*v**4/36 + v**3/9 + 6*v. Let l(f) = 0. Calculate f.
-1, -2/9, 0, 1
Let k(z) = 0*z + 3 - 3 - z. Let v be k(-2). Let -2/9*b**v + 0*b + 0 = 0. Calculate