3 - 10*h - 4 + 2*h**3 + 2*h**3.
-2*(h + 1)**2*(h + 2)
Let j(a) = 188*a**4 + 176*a**3 - 52*a**2 - 104*a. Let n(b) = -29*b**4 - 27*b**3 + 8*b**2 + 16*b. Let h(w) = 5*j(w) + 32*n(w). Find g, given that h(g) = 0.
-1, 0, 2/3
Let s(y) = -3*y**3 + 12*y**2 + 21*y + 15. Let n(o) = -o**4 - o**3 - o**2 + o - 1. Let p(b) = -3*n(b) - s(b). Let p(v) = 0. What is v?
-2, -1, 2
Factor 1/6*k**3 - 1/6*k + 1/6 - 1/6*k**2.
(k - 1)**2*(k + 1)/6
Let m = 5 + 0. Factor 14*a**2 + 10*a + 1 + m*a + 5 - 50*a**2.
-3*(3*a - 2)*(4*a + 1)
Factor 1/2*f**5 + 4*f**3 + 1/4 + 3/2*f + 9/4*f**4 + 7/2*f**2.
(f + 1)**4*(2*f + 1)/4
Let j(y) be the first derivative of -2*y**3/3 - y**2 + 5. Find x, given that j(x) = 0.
-1, 0
Let z(d) be the second derivative of -d**6/2 + 6*d**5/5 + d**4 + 11*d. Suppose z(i) = 0. What is i?
-2/5, 0, 2
Let r(f) be the second derivative of f**6/45 + f**5/15 + f**4/18 - 9*f. Factor r(s).
2*s**2*(s + 1)**2/3
Let y be -1 - (-5)/((-15)/(-6)). Let p(o) = -1 + o**3 + 4*o - o**2 - 4*o. Let f(m) = 4*m**3 + 3*m - 2. Let u(x) = y*f(x) - 3*p(x). Solve u(v) = 0 for v.
-1
Let -24*j - 90*j**4 + 35*j**2 - 10*j**2 + 13*j**2 + 84*j**3 - 8 = 0. What is j?
-2/5, -1/3, 2/3, 1
Let z be (1 - (3 + -3))*6. Let 0*b**4 + 2*b**2 - 4*b**2 - 6*b**4 + z*b**3 + 2*b**5 = 0. Calculate b.
0, 1
Let y(r) be the second derivative of -3*r**7/28 + r**6/2 - r**5/10 - 7*r**4/12 - r**3/4 + 14*r. Determine t, given that y(t) = 0.
-1/3, 0, 1, 3
Let i(u) be the first derivative of 12*u**6/35 + u**5/2 - u**4/14 - 2*u**3/21 + 7*u - 7. Let q(t) be the first derivative of i(t). Determine o so that q(o) = 0.
-1, -2/9, 0, 1/4
Let y = -345 - -1381/4. Factor -y*p**2 - 1/4 - 1/2*p.
-(p + 1)**2/4
Suppose j = -0*j - 3*o - 2, 2 = 2*j + 3*o. Find n, given that j*n**5 - 2*n**5 + 11*n**3 + n - 5*n + 9*n**4 = 0.
-2, -1, 0, 1/2
Let t = -14 - -13. Let h be 4*t*(-12)/16. Factor 1/2*f**2 + 0*f**h - 1/2*f**4 + 0 + 0*f.
-f**2*(f - 1)*(f + 1)/2
Let d = -55/8 + 499/72. Let i(z) be the second derivative of z + 1/126*z**7 + 1/18*z**4 + 0 + 0*z**5 - 1/45*z**6 - d*z**3 + 0*z**2. Let i(c) = 0. What is c?
-1, 0, 1
Suppose -5*t + 12 = -3. Suppose -25 = -3*y - 5*v, -t*y + 5*v + 5 = -0*v. Factor -4/7*g**4 - 2/7*g + 4/7*g**2 + 2/7*g**y + 0 + 0*g**3.
2*g*(g - 1)**3*(g + 1)/7
Let h be (-2 - 4)/(9/(-6)). Suppose -2*d = h*c + c + 10, c + 4*d = -20. Factor 1/2*o**2 - 1/2*o**4 + 1/2*o + c - 1/2*o**3.
-o*(o - 1)*(o + 1)**2/2
Let s(q) = -2*q**2 - 26*q - 22. Let k be s(-12). Let m(n) be the third derivative of 0 - k*n**2 - 1/60*n**5 - 1/3*n**3 + 1/8*n**4 + 0*n. Solve m(t) = 0 for t.
1, 2
Let i(a) be the first derivative of 2*a**4/7 + 50*a**3/21 - 22*a**2/7 - 2*a + 72. Factor i(d).
2*(d - 1)*(d + 7)*(4*d + 1)/7
Let s(p) be the third derivative of 0*p**4 + 0 + 0*p + 1/240*p**5 + 2*p**2 + 0*p**3. Suppose s(z) = 0. Calculate z.
0
Let w(q) be the third derivative of -q**6/84 - 2*q**5/35 - q**4/21 - 8*q**2. Determine o so that w(o) = 0.
-2, -2/5, 0
Let u = 14 - 9. Factor -42*m**u + 2 - 6*m + 44*m**5 - 6*m**4 + 4*m**2 + 2*m**3 + 2*m**3.
2*(m - 1)**4*(m + 1)
Let c(y) = 6*y**4 - 5*y**3 + 2*y**2 + 2*y. Let f(b) = -3*b**4 + 3*b**3 - b**2 - b. Let k(s) = -4*c(s) - 10*f(s). Find g such that k(g) = 0.
-1/3, 0, 1
Let n(i) = -i**5 - 4*i**4 + 2*i**3 + 8*i**2 + 3*i. Let t(d) = -d**3 - d**2. Let p(s) = -n(s) - 4*t(s). Solve p(z) = 0.
-3, -1, 0, 1
Suppose 5*o = 11 - 1. Determine x, given that 2*x**3 - o*x + 3*x**2 - 3*x**2 + 2*x**4 + 0*x**4 - 2*x**2 = 0.
-1, 0, 1
Let u be (-45)/(-27) - (-1)/3. Let d = -5/3 + u. Factor d - h - 1/3*h**3 + h**2.
-(h - 1)**3/3
Let f(g) be the second derivative of g**8/560 - g**7/120 + g**5/30 + g**3/3 - 4*g. Let z(w) be the second derivative of f(w). Find u, given that z(u) = 0.
-2/3, 0, 1, 2
Let f = 19 + -14. Solve m**2 - 3*m**3 - 7*m - m**f + 7*m + 3*m**4 = 0.
0, 1
Let u(r) be the third derivative of -r**7/420 - r**6/240 + r**5/120 + r**4/48 - 4*r**2. Solve u(q) = 0.
-1, 0, 1
Let k(j) = j**3 + 9*j**2 - 9*j + 12. Let v be k(-10). Let r = -6 + 9. Determine w so that 2/3 - 2/3*w**v - 2/3*w**r + 2/3*w = 0.
-1, 1
Let y be 2 - (-5 - -4 - -1). Let b = 2 + y. Factor 1/4*l**2 + 0 - 1/4*l**3 - 1/2*l**b + 0*l.
-l**2*(l + 1)*(2*l - 1)/4
Suppose -4*n + 7 = 4*x - 29, -2*n = 5*x - 24. Determine z, given that -n*z**2 + 0 + 3 + 4*z**2 = 0.
-1, 1
Let y(n) = -5*n**2 + 4. Let t(b) = b**2 - 1. Suppose -8*m + 4*m = -3*r - 7, 2*r + m = -1. Let v(s) = r*y(s) - 4*t(s). What is f in v(f) = 0?
0
Let s(n) be the third derivative of -1/105*n**7 - 6*n**2 - 1/9*n**4 - 13/180*n**6 + 0 + 0*n**3 + 0*n - 8/45*n**5. Factor s(g).
-2*g*(g + 2)**2*(3*g + 1)/3
Find o, given that -3/2*o**3 - 72*o + 18*o**2 + 96 = 0.
4
Suppose 0 = 6*t + 6*t. Suppose -3/5*w + t - 3/5*w**3 + 9/5*w**2 - 9/5*w**4 + 6/5*w**5 = 0. What is w?
-1, 0, 1/2, 1
Let u = -1/2 - -5/4. Determine o so that 3/4 - u*o**4 + 0*o**2 - 3/2*o**3 + 3/2*o = 0.
-1, 1
Let g be (2/2 - 1)/2. Let f = 2 + g. Determine c, given that 0*c**2 + 6*c**f - 2*c**3 + 3 - 6*c - 1 = 0.
1
Let x be 3/5*(-255)/(-306). Let 1/2*k**2 + x*k + 0 = 0. What is k?
-1, 0
Let d(p) = 2*p**4 - 6*p**3 - 2*p + 2. Let n(u) = 2*u**4 - 7*u**3 - u**2 - 3*u + 3. Let f(l) = -3*d(l) + 2*n(l). Solve f(j) = 0 for j.
0, 1
Let y(v) be the first derivative of 2/9*v**3 - 1/2*v**4 + 6 + 0*v + 2/5*v**5 + 0*v**2 - 1/9*v**6. Suppose y(z) = 0. Calculate z.
0, 1
Let l(k) = 16*k**3 + 5*k**2 - 11*k. Let d(h) be the second derivative of -3*h**5/20 - h**4/12 + h**3/3 + 3*h. Let o(u) = -11*d(u) - 2*l(u). Factor o(g).
g**2*(g + 1)
Suppose 0*n + 8/5*n**4 + 6/5*n**3 - 2/5*n**2 + 0 = 0. Calculate n.
-1, 0, 1/4
Let h(n) be the third derivative of -n**6/840 + n**5/210 + n**4/56 - 2*n**2. Factor h(g).
-g*(g - 3)*(g + 1)/7
Let x(l) be the third derivative of 0*l + 0 + 1/30*l**5 + 1/6*l**4 - 1/60*l**6 + 0*l**3 + 4*l**2. Solve x(i) = 0 for i.
-1, 0, 2
Let i(w) be the second derivative of -w**8/1680 - w**3/6 + 3*w. Let k(b) be the second derivative of i(b). Factor k(v).
-v**4
Suppose -31*z**2 + 50*z**2 - 24*z**2 + 10*z = 0. What is z?
0, 2
What is a in 71/5*a**4 + 19/5*a**2 - 2/5*a + 0 - 28/5*a**5 - 12*a**3 = 0?
0, 1/4, 2/7, 1
Let o(h) = -5*h**2 - 45*h + 45. Let f(v) = v. Let y(p) = -5*f(p) - o(p). Determine d, given that y(d) = 0.
-9, 1
Determine t, given that 40*t**2 + 7*t**3 + 13*t**3 + 5*t**3 + 20*t + 5*t**4 = 0.
-2, -1, 0
Let x = 23/38 + -2/19. Factor 1/4*r**2 + x*r + 1/4.
(r + 1)**2/4
Let v(p) = p**3 - 6*p**2 - 6*p + 59. Let w be v(5). Solve 0*x + 0*x**2 + 1/4*x**3 + 1/4*x**w + 0 = 0.
-1, 0
Let o(t) be the first derivative of 0*t**2 + 2/25*t**5 + 1/10*t**4 + 3 + 0*t - 2/15*t**3 - 1/15*t**6. Factor o(z).
-2*z**2*(z - 1)**2*(z + 1)/5
Let k(n) be the second derivative of -1/4*n**4 + 0 + 1/2*n**3 - 5*n + 3*n**2. Let k(h) = 0. Calculate h.
-1, 2
Suppose -2*i = -0*i - 8. Suppose -s = -i*s + 9. Find z such that 0 - 1/3*z**s + 1/3*z**2 + 1/3*z - 1/3*z**4 = 0.
-1, 0, 1
Let i(a) be the third derivative of -a**6/100 + 3*a**5/20 - 19*a**4/40 + 3*a**3/5 + 32*a**2. What is q in i(q) = 0?
1/2, 1, 6
Let a(y) be the second derivative of y**5/10 - y**4/2 - 3*y**3 - 5*y**2 - 23*y. Factor a(v).
2*(v - 5)*(v + 1)**2
Factor -34*n**4 - 42*n**3 + 5*n**2 - 10*n**5 - 17*n**2 - 4*n - 10*n**2.
-2*n*(n + 1)**3*(5*n + 2)
Let o = -135 - -137. Let 2/3*f - 2/3*f**o + 0 = 0. What is f?
0, 1
Let v = -5 - -7. Let n be v/(-9) - 94/(-18). Factor 5/4*h**4 - 13/4*h**3 + n*h + 2 - 3/2*h**2.
(h - 2)**2*(h + 1)*(5*h + 2)/4
Let i(l) = l**3 - 7*l**2 + 7*l - 3. Let t be i(6). Suppose -2 = a - 0*a + 2*h, 2*a - 4 = 4*h. Factor a + 2/3*j**4 - 4/3*j**t - 2/3*j**2 + 4/3*j.
2*j*(j - 2)*(j - 1)*(j + 1)/3
Find q, given that 3*q**4 - 3*q**3 - 13*q**3 - 12*q**2 - 6*q**4 - q**4 = 0.
-3, -1, 0
Factor 0 + 2/9*p**2 + 2/9*p.
2*p*(p + 1)/9
Let d be 2/(-7)*7/(-3). Suppose 6 = -5*x + 16. Factor 2/3*h - 2/3*h**x - d*h**3 + 2/3.
-2*(h - 1)*(h + 1)**2/3
Let k = -1 + -9. Let s be k/(-4) + (-4)/(-8). Factor 2 + 0*d**3 + d**3 - 3 + s*d - 3*d**2.
(d - 1)**3
Let b(w) be the second derivative of 2*w**7/49 - 2*w**6/21 - w**5/35 + 5*w**4/21 - 4*w**3/21 - 12*w. Solve b(k) = 0.
-1, 0, 2/3, 1
Let o(l) = l**3 + l. Let f(x) = 24*x**3 + x**2 + 7*x. Let m(d) = -4*f(d) + 36*o(d). Factor m(c).
-4*c*(3*c - 1)*(5*c + 2)
Let s(j) be the third derivative of -j**7/5040 + j**6/720 + j**4/8 - 2*j**2. Let m(b) be the second derivative of s(b). Factor m(o).
-o*(o