-1/2*h**f + 1/2*h + 1/8*h**4 + 0 - 1/8*h**3.
h*(h - 2)*(h - 1)*(h + 2)/8
Let w = -14859/7 - -2123. Factor 2/7*b**3 + w*b + 0 + 4/7*b**2.
2*b*(b + 1)**2/7
Let z = 69 + -87. Let d be (0 - 0)/2 + (-16 - z). Determine g so that 0 - 1/2*g - 1/2*g**d = 0.
-1, 0
Find l, given that -1/3*l**4 - 5/3*l**3 + 4/3 + 5/3*l - l**2 = 0.
-4, -1, 1
Let k(g) be the first derivative of g**3/6 + g**2 - 5*g/2 - 110. What is z in k(z) = 0?
-5, 1
Let x(r) be the third derivative of r**8/224 - 19*r**7/140 - 41*r**6/80 - 21*r**5/40 + 2*r**2 - 664*r. Factor x(q).
3*q**2*(q - 21)*(q + 1)**2/2
Factor -380*i**2 - 375*i**2 - 374*i**2 + 1132*i**2 + 90*i.
3*i*(i + 30)
Let m be 1 + (6 + -11 - -1*2). Let w be 0/2 + (-3)/(3/m). Factor 4/3 + 2/3*i - 2/3*i**3 - 4/3*i**w.
-2*(i - 1)*(i + 1)*(i + 2)/3
Let h(z) be the third derivative of 16*z**7/105 + 10*z**6/3 + 97*z**5/30 + z**4 - 287*z**2. Find r such that h(r) = 0.
-12, -1/4, 0
Let u(n) = 9*n - 14. Let b be u(2). What is q in 305*q - 18 + 0*q**2 - 8*q**3 + b*q**2 - 281*q - 2*q**4 = 0?
-3, 1
Let h be 98/21*5/((-35)/18). Let y be (h - -14) + (0 - -2). Suppose 2/7*m**5 + 6/7*m**y + 6/7*m**3 + 0*m + 0 + 2/7*m**2 = 0. What is m?
-1, 0
Factor 3/5*y + 3/10*y**2 - 4/5 - 1/10*y**3.
-(y - 4)*(y - 1)*(y + 2)/10
Let z(y) be the first derivative of 11/34*y**4 + 0*y - 2/85*y**5 + 0*y**2 + 27 + 0*y**3. Factor z(h).
-2*h**3*(h - 11)/17
Let d(g) = 30*g**4 + 630*g**3 + 2991*g**2 - 3630*g - 21. Let f(h) = 3*h**4 + 63*h**3 + 299*h**2 - 363*h - 2. Let k(n) = -2*d(n) + 21*f(n). Factor k(j).
3*j*(j - 1)*(j + 11)**2
Suppose -24 = -144*z + 140*z. Factor 22*a + a**2 - 4*a - 11*a - z*a.
a*(a + 1)
Factor 3*b**2 - 4*b + 224*b**4 + 5*b**2 + 4*b**5 - 232*b**4.
4*b*(b - 1)**3*(b + 1)
Let w(c) = -c**3 + 101*c**2 + 78*c. Let u(z) = 10*z**3 - 910*z**2 - 700*z. Let v(y) = 6*u(y) + 55*w(y). Determine h so that v(h) = 0.
-18, -1, 0
Let l(a) be the third derivative of -9*a**7/70 + 21*a**6/20 - 16*a**5/5 + 4*a**4 - 27*a**2. Solve l(o) = 0 for o.
0, 4/3, 2
Let v be -30 + 15400/448 - (-3)/(-8). Factor 0 - v*w**3 - 4/7*w**2 + 4/7*w**4 + 4*w.
4*w*(w - 7)*(w - 1)*(w + 1)/7
Let b(g) = 2*g**5 + 6*g**4 + 2*g**3 - 6*g**2 - 4. Let z(l) = -l**4 - l**3 + l**2 + 1. Let k(n) = b(n) + 4*z(n). Factor k(m).
2*m**2*(m - 1)*(m + 1)**2
Suppose -94 = -37*h - 10*h. Let s(p) be the first derivative of -7 + 0*p**3 - 12/5*p**5 + 0*p**h + 0*p - 8/3*p**6 + p**4. Factor s(f).
-4*f**3*(f + 1)*(4*f - 1)
Let n(u) = 2*u + 4. Let f = -5 - -5. Let t be n(f). Factor -9*h**4 - 2*h**3 - 2*h**3 - t*h**4 + 9*h**4.
-4*h**3*(h + 1)
Let g(p) = 7*p**3 + 161*p**2 - 3198*p - 7053. Let a(z) = -3*z**3 + z**2 + 2*z - 1. Let h(q) = -3*a(q) - g(q). Factor h(l).
2*(l - 42)**2*(l + 2)
Let h(m) be the first derivative of -5/4*m**3 + 0*m - 9/4*m**2 - 32 - 3/20*m**5 + m**4. What is y in h(y) = 0?
-2/3, 0, 3
Let l be (16/(-112))/((-6)/330) + -7. Factor l*r**3 + 2/7 - 5/7*r**2 - 3/7*r.
(r - 1)*(2*r - 1)*(3*r + 2)/7
Let p = 67 + -100. Let n(b) = 81*b**2 + 144*b - 513. Let c(z) = -5*z**2 - 9*z + 32. Let d(a) = p*c(a) - 2*n(a). Let d(j) = 0. What is j?
-5, 2
Determine y so that 1/7*y**3 + 0 + 12/7*y - 13/7*y**2 = 0.
0, 1, 12
Let w(h) be the first derivative of 0*h + 1/7*h**2 + 7 + 2/7*h**4 - 8/21*h**3. Solve w(k) = 0.
0, 1/2
Let i = -4/687 + 37793/1374. Let z = i - 25. Let 0 + 4*j**2 - z*j**3 + 1/2*j**4 - 2*j = 0. Calculate j.
0, 1, 2
Suppose -3*k = -k - 8, 4*d = 5*k + 60. Let b be -18*(-6)/d - 3 - 2. Suppose 2/5*t**3 + 0 - 4/5*t**2 + b*t = 0. What is t?
0, 1
Suppose -8 = -5*w + 4*q, q = w - 3*q - 8. Suppose -l - 10 = 5*f, l - 3*f - 12 - 2 = w. Factor 2*o**2 + o**4 - l*o**2 + 3*o**2 - o**2.
o**2*(o - 1)*(o + 1)
Let o(m) = -m**2 + m. Let x(j) = -22*j**2 - 362*j - 78. Let y(b) = 5*o(b) + x(b). Solve y(h) = 0 for h.
-13, -2/9
Let c(m) = -5*m**2 + 90*m + 667. Let x(g) = 3*g**2 - 60*g - 445. Let r(t) = 5*c(t) + 8*x(t). Factor r(p).
-(p + 15)**2
Let g(a) be the second derivative of a**7/210 + a**6/30 + a**5/15 + 7*a**3/2 - 8*a. Let x(b) be the second derivative of g(b). Factor x(y).
4*y*(y + 1)*(y + 2)
Let a be (-13 + 1)*27/(-18). Suppose -4*p + 2 = -a. Factor p + 5 + 9*n - 6*n**3 - 9*n**4 - 2*n**5 + 6*n**2 - 7 - n**5.
-3*(n - 1)*(n + 1)**4
Let v(s) be the first derivative of s**5/210 - 4*s**3/21 - 11*s**2/2 + 3. Let d(c) be the second derivative of v(c). What is m in d(m) = 0?
-2, 2
Let h(o) = -o**2 - 35*o + 2. Let v be h(-35). Let y = -11/6 - -7/3. Factor 0 + 1/2*n**3 - y*n + 0*n**v.
n*(n - 1)*(n + 1)/2
Suppose -i + 7 = -18. Suppose i*u + 164*u**2 - u - 202*u**3 + 72*u**4 + 470*u**3 = 0. Calculate u.
-3, -1/2, -2/9, 0
Let w(g) be the first derivative of -2*g**6/21 + 4*g**5/35 + 2*g**4/7 - 8*g**3/21 - 2*g**2/7 + 4*g/7 + 38. What is z in w(z) = 0?
-1, 1
Let g be 13/(-2) + -5 + 12. Determine r, given that -g*r**2 - 2 + 2*r = 0.
2
Suppose -6*v = -11*v + 155. Let i = v - 31. Factor -2/3*b**4 + 4/3*b + i*b**2 - 4/3*b**3 + 2/3.
-2*(b - 1)*(b + 1)**3/3
Let l be 0/2 + 1 + (-8)/(-4). Let u(c) = c**3 + 3*c**2 - 6*c - 6. Let m be u(-4). Suppose -3*j + 18*j + 6 + l*j**m - 6*j = 0. What is j?
-2, -1
Let t(n) = -12*n**3 + 13*n**2 + 13*n. Let k(v) be the third derivative of -v**5/60 - v**4/24 - 3*v**2. Let y(g) = 3*k(g) - t(g). Factor y(d).
4*d*(d - 2)*(3*d + 2)
Let a be (4 + -5)*(2 - 1). Let l be a*(-21)/(-66)*4/(-7). Determine i, given that -l*i - 6/11*i**3 + 0 - 6/11*i**2 - 2/11*i**4 = 0.
-1, 0
Let q(h) be the second derivative of 0*h**3 - 4*h + 0*h**2 - 1/147*h**7 - 1/21*h**4 - 4/105*h**6 - 1/14*h**5 + 0. Let q(b) = 0. What is b?
-2, -1, 0
Suppose -79*n + 64*n = -30. Let l = 145/3 - 48. Factor 0 - 1/3*t**n + l*t.
-t*(t - 1)/3
Let q(k) = 4 + 18*k**3 + 2*k**2 - 17*k**3 + 11*k + k**2 + k**2. Let o(r) = 5*r**3 + 19*r**2 + 55*r + 19. Let p(a) = 4*o(a) - 22*q(a). Factor p(d).
-2*(d + 1)*(d + 2)*(d + 3)
Let a = 7276 + -65240/9. Let h = a - 1654/63. Solve 2/7*c**5 + 6/7*c**3 - 2/7*c**2 + 0 - h*c**4 + 0*c = 0 for c.
0, 1
Let o(l) be the third derivative of -l**8/100800 + l**6/3600 + 7*l**5/60 + 5*l**2. Let t(q) be the third derivative of o(q). Factor t(y).
-(y - 1)*(y + 1)/5
Let h(t) = 3*t**2 + 3*t + 2. Let d be h(0). Let z be (462/54)/(-11) + d/2. Determine k, given that -2/9*k**2 + 4/9 + z*k = 0.
-1, 2
Let i(j) be the second derivative of j**5/4 + 5*j**4/3 + 2*j + 22. Factor i(o).
5*o**2*(o + 4)
Suppose 4 + 19 = 23*w - 69. Determine u so that -28/9*u**w - 8*u**3 + 0 - 4/9*u**5 - 80/9*u**2 - 32/9*u = 0.
-2, -1, 0
Let h = -771 - -771. Let l(o) be the second derivative of 9*o + 0*o**2 + 1/2*o**4 + h + 0*o**3 + 3/20*o**5. Factor l(s).
3*s**2*(s + 2)
Let w(f) = 8*f**4 + 28*f**3 + 56*f**2 + 40*f + 10. Let l(a) = 17*a**4 + 54*a**3 + 111*a**2 + 80*a + 21. Let r(h) = 4*l(h) - 10*w(h). Find v such that r(v) = 0.
-2, -1, -1/3
Let l(y) be the first derivative of y**7/168 + y**6/120 - y**5/60 - 13*y**3/3 - 8. Let c(o) be the third derivative of l(o). Let c(x) = 0. What is x?
-1, 0, 2/5
Let o be (27/(-15))/(3/(-10)). Suppose -9 = -d - o. Let -13*b**3 + 2*b**2 + 6*b**d + b - 2 + 6*b**3 = 0. Calculate b.
-1, 1, 2
Suppose -5*d = -2*x - 274, -2*d + 2*x - 22 + 134 = 0. Factor -96*q**2 - 6*q**4 + d*q**3 - 4 - 13 + 69*q - 1 - 3*q**5.
-3*(q - 1)**4*(q + 6)
Let w = 1787 + -1785. Solve 6/7*t**w + 2/7*t**3 + 0 + 0*t = 0.
-3, 0
Let r(g) be the first derivative of g**3/3 + 2*g**2 + 4*g + 51. Find d, given that r(d) = 0.
-2
Let q(d) = -d**2 + d. Suppose -12*g + 10 = -10*g. Let t(a) = 3 + g - 13*a**3 + 12*a**3 - 6*a. Let w(o) = 6*q(o) - t(o). Factor w(j).
(j - 2)**3
Suppose 11*c + 36 = 7*c. Let v = c - -12. Factor -2*o - 2 + 5*o**3 + 2*o**2 + 0*o**v - 3*o**3.
2*(o - 1)*(o + 1)**2
Let k(f) be the third derivative of 6*f**2 + 2/75*f**5 + 0 + 1/60*f**4 + 0*f**3 + 0*f. Factor k(o).
2*o*(4*o + 1)/5
Let c = -40 - -1801/45. Let u(f) be the third derivative of 0*f - 1/18*f**4 - c*f**5 + 0 + 6*f**2 + 0*f**3. What is a in u(a) = 0?
-1, 0
Let f(w) be the third derivative of -1/180*w**5 - 13*w**2 + 0*w + 0 - 1/36*w**4 + 0*w**3. Factor f(u).
-u*(u + 2)/3
Find h, given that -3/5*h - 1/10*h**3 + 0 - 1/2*h**2 = 0.
-3, -2, 0
Let a be (-12)/(-48)*49 - 12. Determine c, given that -1/2*c**2 + 0 - 1/4*c**3 - a*c = 0.
-1, 0
Let c be 0/1 - -2*6/2. Let h - 11*h + c + 7*h + 3*h**3 - 6*h**2 = 0. Calculate h.
-1, 1, 2
Let u be 86/602 + 3/(-21). Let q(x) be the third derivative of u*x**3 - x**2 - 1/15*