 0*f**5 + 1/42*f**7. Factor n(o).
o*(o - 1)*(o + 1)**3
Let t(j) be the third derivative of 1/60*j**6 + 0*j + 0 + 1/15*j**5 + 0*j**3 + j**2 + 1/12*j**4. Solve t(q) = 0 for q.
-1, 0
Let k(v) be the third derivative of 9*v**2 - 5/48*v**4 + 1/24*v**5 - 5/6*v**3 + 0 + 0*v. Solve k(g) = 0 for g.
-1, 2
Suppose 2*g + 2*m + 3*m = 35, -5*g - 5*m + 50 = 0. Let h(z) = -z**2 + 6*z + 1. Let k be h(g). Factor 1 + 4*x - 8*x**2 - k*x - 1.
-2*x*(4*x + 1)
Factor -16/7 + 8/7*y + 4/7*y**2 - 2/7*y**3.
-2*(y - 2)**2*(y + 2)/7
Let o(l) be the second derivative of -2*l**7/105 - l**6/15 + 6*l**2 + 21*l. Let q(f) be the first derivative of o(f). Factor q(n).
-4*n**3*(n + 2)
Suppose -37 = -26*w + 85 - 44. Let 0 - 1/4*l**w + 1/4*l + 1/4*l**4 - 1/4*l**2 = 0. What is l?
-1, 0, 1
Suppose 9*c = 4*c - 30. Let p be -1 + -4*c/16. Suppose -1/3*v + 1/6*v**3 + 0 + 1/2*v**2 - p*v**4 + 1/6*v**5 = 0. Calculate v.
-1, 0, 1, 2
Suppose -4*v + 2 = 5*r + 5, 4*r = -12. Factor -w**2 - 1/4*w - 1/4*w**5 - w**4 + 0 - 3/2*w**v.
-w*(w + 1)**4/4
Let o be (-1 + -3 + 2)*1 - -6. Let a(m) = -4*m + 18. Let u be a(o). Factor -u*w + 0 - 2/3*w**2.
-2*w*(w + 3)/3
Let b be 76/19 - (-2)/(-4)*-2. Let -b*n**4 + 0*n**4 + n**5 - 3*n**5 - 4*n**3 + 11*n**4 = 0. What is n?
0, 1, 2
Let g(j) = 2*j + 9 + j - 4*j + 2*j. Let o be g(-6). Factor -4*z + 9*z**3 - 4*z + 11*z + 9*z**2 + o*z**4.
3*z*(z + 1)**3
Let j be 1/((4 - 12) + 7)*-2. Let f(d) be the first derivative of -6 + 1/25*d**5 - 1/15*d**3 + 0*d + 0*d**j + 0*d**4. Factor f(h).
h**2*(h - 1)*(h + 1)/5
Let z(x) = x**5 + 2*x**4 + x**3 - x**2 - x - 1. Let u(q) = 5*q**5 + 3*q**4 + 11*q**3 - 3*q**2 - 12*q. Let y(a) = u(a) - 4*z(a). Find o such that y(o) = 0.
-1, 1, 2
Let v(n) be the third derivative of 529*n**5/330 - 23*n**4/11 + 12*n**3/11 - 25*n**2 + 7. What is x in v(x) = 0?
6/23
Factor -3 + 108 - 120*c**2 + 115*c**2 - 100*c.
-5*(c - 1)*(c + 21)
Let v = -84 + 91. Let w be ((-4)/v)/((-138)/161). Suppose -2*j**2 + 0 - w*j - 2/3*j**4 - 2*j**3 = 0. Calculate j.
-1, 0
Let c be 2622/115*(-25)/(-45). Factor c*f**3 - 4/3*f + 34/3*f**2 + 0.
2*f*(f + 1)*(19*f - 2)/3
Suppose 5*y - 109 = 4*b + 8, 5*y - 3*b - 119 = 0. Let w = y - 22. Factor -2/7*r**4 + 0 + 2/7*r**2 + 4/7*r - 4/7*r**w.
-2*r*(r - 1)*(r + 1)*(r + 2)/7
Let t(x) be the third derivative of -x**7/210 + 2*x**6/5 - 72*x**5/5 + 288*x**4 - 3456*x**3 + 5*x**2 - 8. Let t(w) = 0. Calculate w.
12
Let h be ((-513)/912)/(6/(-44)) - (-21)/56. Factor 3/4*j - h - 3/4*j**3 + 9/2*j**2.
-3*(j - 6)*(j - 1)*(j + 1)/4
Factor 0 - 12/11*w**3 - 1/11*w**4 + 0*w - 36/11*w**2.
-w**2*(w + 6)**2/11
Let q(i) = i**3 + i**2 + 1. Let a(z) = 5*z**4 + 2*z**3 - 83*z**2 + 180*z - 98. Let j(u) = -a(u) + 2*q(u). Suppose j(c) = 0. What is c?
-5, 1, 2
Let j = 1265/2 - 632. Find f, given that 0*f + 0 - j*f**3 + 0*f**2 = 0.
0
Let z(k) = 1. Let w(t) = -t**2 + 2*t - 4. Suppose -4*r = -5*r - 1. Let p(d) = r*w(d) - 4*z(d). Factor p(m).
m*(m - 2)
Let m(h) = -5*h**2 + 157*h + 5929. Let k(f) = 3*f**2 - 156*f - 5929. Let r(y) = -3*k(y) - 2*m(y). Factor r(p).
(p + 77)**2
Let d be ((-9)/(-15))/((-5)/25). Let i be 4 - (d/(-5 + 2) - -1). Factor -15/2*v**3 - 3/2*v**4 - 3 - 21/2*v - 27/2*v**i.
-3*(v + 1)**3*(v + 2)/2
Let m(y) be the third derivative of -y**7/6 + 17*y**6/8 - 14*y**5/3 + 5*y**4/2 + 289*y**2. Let m(g) = 0. What is g?
0, 2/7, 1, 6
Let q = 2004 - 2001. Let d(i) be the third derivative of i**2 + 0 + 1/192*i**4 + 1/480*i**5 + 0*i + 0*i**q. Find b such that d(b) = 0.
-1, 0
Let k = 268 - 261. Suppose 14 - 42 = -k*a. Factor -27/4*g - 36*g**3 + 16*g**a + 0 + 27*g**2.
g*(4*g - 3)**3/4
Let c(r) be the third derivative of -r**7/525 + r**5/50 - r**4/30 + 180*r**2. Factor c(z).
-2*z*(z - 1)**2*(z + 2)/5
Let n = -3519/8 - -440. Let p(c) be the first derivative of n*c**4 - 7 - 3/4*c**2 + c + 0*c**3. Let p(g) = 0. What is g?
-2, 1
Suppose 3*i + 10 = 2*n, 7*n + i = 2*n + 8. Let f = -4572/13 + 352. Factor f*h + 2/13 + 2/13*h**n.
2*(h + 1)**2/13
Let w(b) be the second derivative of -5*b**4/12 - 25*b**3 + 160*b**2 + 197*b. Factor w(t).
-5*(t - 2)*(t + 32)
Let y(b) be the third derivative of -b**6/210 - b**5/105 + 8*b**4/21 + 32*b**3/21 - 4*b**2 - 9*b. Solve y(d) = 0.
-4, -1, 4
Determine v so that -32/3*v - 128/3*v**3 - 560/3*v**5 - 16 + 228*v**2 - 452*v**4 = 0.
-2, -1, -1/4, 2/5, 3/7
Let u(t) be the second derivative of 20*t + 3/40*t**5 + 1/3*t**4 - 3/2*t**2 - 5/12*t**3 + 0. Let u(j) = 0. Calculate j.
-3, -2/3, 1
Let l(o) be the second derivative of o**6/480 + o**5/40 + o**4/8 + o**3/3 + 4*o. Let i(h) be the second derivative of l(h). Factor i(v).
3*(v + 2)**2/4
Let b(z) be the third derivative of -z**7/280 + z**6/20 + z**5/80 - z**4/4 + 118*z**2 + 2*z. Factor b(q).
-3*q*(q - 8)*(q - 1)*(q + 1)/4
Let l = 42 + -38. Suppose 135 - 103 + 13*z + 3*z - l*z**3 - 8*z**2 = 0. Calculate z.
-2, 2
What is v in 2/3*v**3 - 3*v + 0 - 1/3*v**5 - 4*v**2 + 4/3*v**4 = 0?
-1, 0, 3
Let h(z) be the third derivative of z**8/84 - 2*z**7/5 + 12*z**6/5 + 144*z**5/5 - 289*z**2. Factor h(a).
4*a**2*(a - 12)**2*(a + 3)
Let h(w) be the third derivative of -7/15*w**3 - 38*w**2 + 0*w - 1/300*w**6 + 0 + 1/60*w**4 + 7/150*w**5. Determine x, given that h(x) = 0.
-1, 1, 7
Suppose 9 - 11 = -o. Let x**2 + 3*x**2 - 4*x + 0*x**o - 3*x**2 = 0. Calculate x.
0, 4
Suppose 2*q + 8 = 0, -3*y - 22*q + 19*q = -6. Let v(n) be the second derivative of y*n + 0 + 0*n**2 - 1/12*n**3 + 1/24*n**4. Factor v(i).
i*(i - 1)/2
Let s(q) = q**2 + 11*q + 3. Let u be s(-11). Let p be -3 - u/(6/(-10)). Find r such that p*r**3 + r**5 - 6*r**3 - 8*r**2 + 3*r**5 - 8*r**3 = 0.
-1, 0, 2
Let c(t) = -17*t + 5*t + t + 5*t - 75. Let h be c(-13). Find g, given that -1/2*g**4 + 0*g**h + 3/2*g**2 + g + 0 = 0.
-1, 0, 2
Let p(z) be the second derivative of -5/2*z**3 + 1/4*z**4 + 9/2*z**2 + 0 + 39*z + 3/20*z**5. Factor p(r).
3*(r - 1)**2*(r + 3)
Let d = -170 - -263. Let k = d - 88. What is a in 8/5*a**4 - 4/5 - 2/5*a**k - 8/5*a**3 + 2*a - 4/5*a**2 = 0?
-1, 1, 2
Let d be 2238/(-8) - 2/24*3. Let x be d/(-49) - 4 - (-2)/7. Factor 1/2*c + 0 - 1/2*c**x.
-c*(c - 1)/2
Suppose 3*z - 12 = j - 2, j + 14 = 4*z. Let x = 0 + z. Factor 8*f + 6*f - 2*f - x*f**2 + 12 - 4*f.
-4*(f - 3)*(f + 1)
Let d(v) = 35*v**4 + 145*v**3 - 685*v**2 - 720*v. Let l(x) = 3*x**4 + 12*x**3 - 57*x**2 - 60*x. Let t(k) = -2*d(k) + 25*l(k). Let t(q) = 0. Calculate q.
-4, -1, 0, 3
Find m such that 6*m + 6 - 114*m**4 + 0*m**3 + 111*m**4 - 3 - 6*m**3 = 0.
-1, 1
Suppose d + 2 = 2*o, 5*o + 7*d - 3*d = -8. Let x(c) be the third derivative of 1/24*c**4 + 0*c**3 + 1/60*c**5 + 7*c**2 + 0 + o*c. Suppose x(j) = 0. Calculate j.
-1, 0
Let q(o) be the first derivative of 4*o**3 - 16*o**2 + 9 - 4/5*o**5 + 16*o + 2*o**4. Factor q(x).
-4*(x - 2)*(x - 1)**2*(x + 2)
Let m(u) = u**2 - 22*u + 61. Let z be m(19). Solve 2*v**5 - 42*v**3 + 24*v**z + 7*v**2 - 4*v**5 + 13*v**2 = 0.
0, 1, 10
Let u(b) = -4*b**4 + 8*b**3 - 6*b**2 - 4*b + 2. Let i(v) = 2 - 1 - v**4 - v**3 + 2*v**3 + v. Let y(d) = 6*i(d) - u(d). What is r in y(r) = 0?
-1, 2
Let p(r) be the first derivative of -1/2*r + 5/12*r**2 - 1/18*r**3 + 28 - 1/24*r**4. Factor p(q).
-(q - 1)**2*(q + 3)/6
Let p be (8/30)/(6/45). Let m(o) be the first derivative of 0*o**2 + 0*o - p + 0*o**3 - 1/4*o**4. Determine c, given that m(c) = 0.
0
Let j(g) = -143*g + 1430. Let w be j(10). Suppose w + 2/9*m - 2/9*m**2 = 0. What is m?
0, 1
Suppose -172*h = -175*h + 12. Factor 0 - 6*x**h + 5/2*x**3 - 1/3*x**2 + 0*x + 9/2*x**5.
x**2*(3*x - 2)*(3*x - 1)**2/6
Let g(c) = -3*c**3 - 2*c**2 - c + 1. Let b(i) = 20*i**3 - 90*i**2 - 98*i - 6. Let w(v) = -b(v) - 6*g(v). Factor w(l).
-2*l*(l - 52)*(l + 1)
Suppose 0 = 3*s - 0*s - 45. Factor -46*o**2 - 4*o**4 + 14*o**2 + 9*o - 5*o**3 - s*o**3 - 25*o.
-4*o*(o + 1)*(o + 2)**2
Let u(f) be the second derivative of -f**4/4 - 11*f**3/2 + 39*f**2 + 217*f. Factor u(q).
-3*(q - 2)*(q + 13)
Let w(f) be the first derivative of 2/3*f - 10 + 2/3*f**4 + 2/15*f**5 + 4/3*f**2 + 4/3*f**3. Let w(i) = 0. What is i?
-1
Let a(y) be the second derivative of y**6/15 + 3*y**5 + 75*y**4/2 - 386*y. What is s in a(s) = 0?
-15, 0
Let n(g) be the third derivative of -g**8/2240 - g**7/1680 - 7*g**5/20 - 13*g**2. Let q(l) be the third derivative of n(l). Factor q(z).
-3*z*(3*z + 1)
Let x = -36 - -42. Suppose -r**3 - 2*r + 3*r**3 + r**4 - x*r**2 + 5*r**2 = 0. Calculate r.
-2, -1, 0